Package evaluation of ThresholdStability on Julia 1.11.4 (a71dd056e0*) started at 2025-04-08T20:21:06.469 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 8.76s ################################################################################ # Installation # Installing ThresholdStability... Resolving package versions... Updating `~/.julia/environments/v1.11/Project.toml` [da96a6fb] + ThresholdStability v0.3.0 Updating `~/.julia/environments/v1.11/Manifest.toml` [47edcb42] + ADTypes v1.14.0 [79e6a3ab] + Adapt v4.3.0 [66dad0bd] + AliasTables v1.1.3 ⌅ [ec485272] + ArnoldiMethod v0.2.0 [4fba245c] + ArrayInterface v7.18.0 [6e4b80f9] + BenchmarkTools v1.6.0 [0a46da34] + CSDP v1.1.2 [d360d2e6] + ChainRulesCore v1.25.1 [523fee87] + CodecBzip2 v0.8.5 [944b1d66] + CodecZlib v0.7.8 ⌅ [3da002f7] + ColorTypes v0.11.5 ⌅ [5ae59095] + Colors v0.12.11 [861a8166] + Combinatorics v1.0.2 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.16.0 [25c3070e] + ComplexOptInterface v0.1.2 [a81c6b42] + Compose v0.9.5 [187b0558] + ConstructionBase v1.5.8 [da8f5974] + Cyclotomics v0.3.2 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.22 [e2d170a0] + DataValueInterfaces v1.0.0 [8bb1440f] + DelimitedFiles v1.9.1 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [a0c0ee7d] + DifferentiationInterface v0.6.50 [ffbed154] + DocStringExtensions v0.9.4 ⌅ [7c1d4256] + DynamicPolynomials v0.4.6 [4e289a0a] + EnumX v1.0.5 [6912e4f1] + Espresso v0.6.3 [411431e0] + Extents v0.1.5 ⌅ [1a297f60] + FillArrays v0.13.11 [6a86dc24] + FiniteDiff v2.27.0 [53c48c17] + FixedPointNumbers v0.8.5 [f6369f11] + ForwardDiff v1.0.1 [14197337] + GenericLinearAlgebra v0.3.15 [68eda718] + GeoFormatTypes v0.4.4 [cf35fbd7] + GeoInterface v1.4.1 ⌅ [5c1252a2] + GeometryBasics v0.4.11 ⌅ [a2cc645c] + GraphPlot v0.5.2 ⌃ [86223c79] + Graphs v1.9.0 ⌅ [d5909c97] + GroupsCore v0.4.2 [2207ec0c] + HybridSystems v0.4.3 [d25df0c9] + Inflate v0.1.5 [18e54dd8] + IntegerMathUtils v0.1.2 [92d709cd] + IrrationalConstants v0.2.4 [c8e1da08] + IterTools v1.10.0 [82899510] + IteratorInterfaceExtensions v1.0.0 [692b3bcd] + JLLWrappers v1.7.0 [682c06a0] + JSON v0.21.4 [0f8b85d8] + JSON3 v1.14.2 [4076af6c] + JuMP v1.25.0 [8ac3fa9e] + LRUCache v1.6.2 [d3d80556] + LineSearches v7.3.0 [2ab3a3ac] + LogExpFunctions v0.3.29 [1914dd2f] + MacroTools v0.5.15 [dbb5928d] + MappedArrays v0.4.2 [b8f27783] + MathOptInterface v1.38.1 ⌅ [d14a8603] + MathematicalSystems v0.12.0 [442fdcdd] + Measures v0.3.2 [c03570c3] + Memoize v0.4.4 [e1d29d7a] + Missings v1.2.0 ⌅ [be282fd4] + MultivariateBases v0.1.5 ⌅ [f4abf1af] + MultivariateMoments v0.3.10 ⌅ [102ac46a] + MultivariatePolynomials v0.4.7 [d8a4904e] + MutableArithmetics v1.6.4 [d41bc354] + NLSolversBase v7.9.1 [77ba4419] + NaNMath v1.1.3 [429524aa] + Optim v1.12.0 [bac558e1] + OrderedCollections v1.8.0 [774612a8] + ParameterJuMP v0.4.1 [d96e819e] + Parameters v0.12.3 [69de0a69] + Parsers v2.8.1 ⌅ [8bc5a954] + PermutationGroups v0.4.3 ⌅ [ddf597a6] + PolyJuMP v0.6.2 ⌅ [67491407] + Polyhedra v0.7.8 [85a6dd25] + PositiveFactorizations v0.2.4 ⌅ [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [27ebfcd6] + Primes v0.5.7 [43287f4e] + PtrArrays v1.3.0 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [af85af4c] + RowEchelon v0.2.1 ⌅ [8e049039] + SemialgebraicSets v0.2.5 ⌅ [39881422] + SetProg v0.3.3 [efcf1570] + Setfield v1.1.2 [699a6c99] + SimpleTraits v0.9.4 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.5.0 [0c0c59c1] + StarAlgebras v0.2.1 [90137ffa] + StaticArrays v1.9.13 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.4 ⌅ [09ab397b] + StructArrays v0.6.21 [856f2bd8] + StructTypes v1.11.0 ⌅ [4b9e565b] + SumOfSquares v0.6.4 ⌅ [ceb7f16a] + SwitchOnSafety v0.2.4 ⌅ [858aa9a9] + SymbolicWedderburn v0.3.7 [3783bdb8] + TableTraits v1.0.1 [bd369af6] + Tables v1.12.0 [da96a6fb] + ThresholdStability v0.3.0 [3bb67fe8] + TranscodingStreams v0.11.3 [3a884ed6] + UnPack v1.0.2 [6e34b625] + Bzip2_jll v1.0.9+0 [9ce75daa] + CSDP_jll v600.200.1+0 [5ae413db] + EarCut_jll v2.2.4+0 [656ef2d0] + OpenBLAS32_jll v0.3.29+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [9fa8497b] + Future v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [1a1011a3] + SharedArrays v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.11.0 [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.5+0 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` Installation completed after 4.66s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompilation completed after 630.6s ################################################################################ # Testing # Testing ThresholdStability Status `/tmp/jl_Q2K6Yq/Project.toml` [0a46da34] CSDP v1.1.2 [861a8166] Combinatorics v1.0.2 ⌅ [7c1d4256] DynamicPolynomials v0.4.6 ⌃ [86223c79] Graphs v1.9.0 [2207ec0c] HybridSystems v0.4.3 [4076af6c] JuMP v1.25.0 ⌅ [d14a8603] MathematicalSystems v0.12.0 ⌅ [102ac46a] MultivariatePolynomials v0.4.7 [189a3867] Reexport v1.2.2 ⌅ [4b9e565b] SumOfSquares v0.6.4 ⌅ [ceb7f16a] SwitchOnSafety v0.2.4 [da96a6fb] ThresholdStability v0.3.0 [37e2e46d] LinearAlgebra v1.11.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_Q2K6Yq/Manifest.toml` [47edcb42] ADTypes v1.14.0 [79e6a3ab] Adapt v4.3.0 [66dad0bd] AliasTables v1.1.3 ⌅ [ec485272] ArnoldiMethod v0.2.0 [4fba245c] ArrayInterface v7.18.0 [6e4b80f9] BenchmarkTools v1.6.0 [0a46da34] CSDP v1.1.2 [d360d2e6] ChainRulesCore v1.25.1 [523fee87] CodecBzip2 v0.8.5 [944b1d66] CodecZlib v0.7.8 ⌅ [3da002f7] ColorTypes v0.11.5 ⌅ [5ae59095] Colors v0.12.11 [861a8166] Combinatorics v1.0.2 [bbf7d656] CommonSubexpressions v0.3.1 [34da2185] Compat v4.16.0 [25c3070e] ComplexOptInterface v0.1.2 [a81c6b42] Compose v0.9.5 [187b0558] ConstructionBase v1.5.8 [da8f5974] Cyclotomics v0.3.2 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.18.22 [e2d170a0] DataValueInterfaces v1.0.0 [8bb1440f] DelimitedFiles v1.9.1 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [a0c0ee7d] DifferentiationInterface v0.6.50 [ffbed154] DocStringExtensions v0.9.4 ⌅ [7c1d4256] DynamicPolynomials v0.4.6 [4e289a0a] EnumX v1.0.5 [6912e4f1] Espresso v0.6.3 [411431e0] Extents v0.1.5 ⌅ [1a297f60] FillArrays v0.13.11 [6a86dc24] FiniteDiff v2.27.0 [53c48c17] FixedPointNumbers v0.8.5 [f6369f11] ForwardDiff v1.0.1 [14197337] GenericLinearAlgebra v0.3.15 [68eda718] GeoFormatTypes v0.4.4 [cf35fbd7] GeoInterface v1.4.1 ⌅ [5c1252a2] GeometryBasics v0.4.11 ⌅ [a2cc645c] GraphPlot v0.5.2 ⌃ [86223c79] Graphs v1.9.0 ⌅ [d5909c97] GroupsCore v0.4.2 [2207ec0c] HybridSystems v0.4.3 [d25df0c9] Inflate v0.1.5 [18e54dd8] IntegerMathUtils v0.1.2 [92d709cd] IrrationalConstants v0.2.4 [c8e1da08] IterTools v1.10.0 [82899510] IteratorInterfaceExtensions v1.0.0 [692b3bcd] JLLWrappers v1.7.0 [682c06a0] JSON v0.21.4 [0f8b85d8] JSON3 v1.14.2 [4076af6c] JuMP v1.25.0 [8ac3fa9e] LRUCache v1.6.2 [d3d80556] LineSearches v7.3.0 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.15 [dbb5928d] MappedArrays v0.4.2 [b8f27783] MathOptInterface v1.38.1 ⌅ [d14a8603] MathematicalSystems v0.12.0 [442fdcdd] Measures v0.3.2 [c03570c3] Memoize v0.4.4 [e1d29d7a] Missings v1.2.0 ⌅ [be282fd4] MultivariateBases v0.1.5 ⌅ [f4abf1af] MultivariateMoments v0.3.10 ⌅ [102ac46a] MultivariatePolynomials v0.4.7 [d8a4904e] MutableArithmetics v1.6.4 [d41bc354] NLSolversBase v7.9.1 [77ba4419] NaNMath v1.1.3 [429524aa] Optim v1.12.0 [bac558e1] OrderedCollections v1.8.0 [774612a8] ParameterJuMP v0.4.1 [d96e819e] Parameters v0.12.3 [69de0a69] Parsers v2.8.1 ⌅ [8bc5a954] PermutationGroups v0.4.3 ⌅ [ddf597a6] PolyJuMP v0.6.2 ⌅ [67491407] Polyhedra v0.7.8 [85a6dd25] PositiveFactorizations v0.2.4 ⌅ [aea7be01] PrecompileTools v1.2.1 [21216c6a] Preferences v1.4.3 [27ebfcd6] Primes v0.5.7 [43287f4e] PtrArrays v1.3.0 [3cdcf5f2] RecipesBase v1.3.4 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [af85af4c] RowEchelon v0.2.1 ⌅ [8e049039] SemialgebraicSets v0.2.5 ⌅ [39881422] SetProg v0.3.3 [efcf1570] Setfield v1.1.2 [699a6c99] SimpleTraits v0.9.4 [a2af1166] SortingAlgorithms v1.2.1 [276daf66] SpecialFunctions v2.5.0 [0c0c59c1] StarAlgebras v0.2.1 [90137ffa] StaticArrays v1.9.13 [1e83bf80] StaticArraysCore v1.4.3 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.7.0 [2913bbd2] StatsBase v0.34.4 ⌅ [09ab397b] StructArrays v0.6.21 [856f2bd8] StructTypes v1.11.0 ⌅ [4b9e565b] SumOfSquares v0.6.4 ⌅ [ceb7f16a] SwitchOnSafety v0.2.4 ⌅ [858aa9a9] SymbolicWedderburn v0.3.7 [3783bdb8] TableTraits v1.0.1 [bd369af6] Tables v1.12.0 [da96a6fb] ThresholdStability v0.3.0 [3bb67fe8] TranscodingStreams v0.11.3 [3a884ed6] UnPack v1.0.2 [6e34b625] Bzip2_jll v1.0.9+0 [9ce75daa] CSDP_jll v600.200.1+0 [5ae413db] EarCut_jll v2.2.4+0 [656ef2d0] OpenBLAS32_jll v0.3.29+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.6.0 [7b1f6079] FileWatching v1.11.0 [9fa8497b] Future v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.11.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.2.0 [44cfe95a] Pkg v1.11.0 [de0858da] Printf v1.11.0 [9abbd945] Profile v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v0.7.0 [9e88b42a] Serialization v1.11.0 [1a1011a3] SharedArrays v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.11.0 [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.1.1+0 [deac9b47] LibCURL_jll v8.6.0+0 [e37daf67] LibGit2_jll v1.7.2+0 [29816b5a] LibSSH2_jll v1.11.0+1 [c8ffd9c3] MbedTLS_jll v2.28.6+0 [14a3606d] MozillaCACerts_jll v2023.12.12 [4536629a] OpenBLAS_jll v0.3.27+1 [05823500] OpenLibm_jll v0.8.5+0 [bea87d4a] SuiteSparse_jll v7.7.0+0 [83775a58] Zlib_jll v1.2.13+1 [8e850b90] libblastrampoline_jll v5.11.0+0 [8e850ede] nghttp2_jll v1.59.0+0 [3f19e933] p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. Testing Running tests... Test Summary: | Pass Total Time Indicator | 2246 2246 1.1s Test Summary: | Pass Total Time Ordering | 3 3 1.5s Test Summary: | Pass Total Time Automata | 28 28 1.2s Test Summary: | Pass Total Time Midpoints | 5 5 0.0s Test Summary: | Pass Total Time CKSVAR | 5 5 25.1s Test Summary: | Pass Total Time Canonical CKSVAR | 2 2 18.3s Test Summary: | Pass Total Time Veronese lifts | 5 5 18.7s Test Summary: | Pass Total Time Spectral radius | 3 3 4.3s JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.59840e-02 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 3.56007e-03 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 3.64304e-03 1.6500000000000001 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 5.57399e-03 1.375 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 5.58996e-03 1.2375 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 7.77888e-03 1.1687500000000002 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.12359e-02 1.1343750000000001 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.21379e-02 1.1515625000000003 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 8.69799e-03 1.1601562500000002 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : SLOW_PROGRESS │ ├ result_count : 1 │ └ raw_status : Stuck at edge of primal feasibility. ├ Solution (result = 1) │ ├ primal_status : UNKNOWN_RESULT_STATUS │ ├ dual_status : UNKNOWN_RESULT_STATUS │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 7.18091e-02 1.1558593750000004 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.15571e-02 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.73230e-02 1.1569335937500003 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 8.84295e-03 1.1585449218750004 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.01461e-02 1.1577392578125003 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.55160e-02 1.1573364257812502 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.82872e-02 1.1575378417968754 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.03760e-02 1.157638549804688 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.20611e-02 1.1575881958007816 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.18370e-02 1.1575630187988284 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.39420e-02 1.1575756072998051 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.29549e-02 1.1575819015502935 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.65889e-02 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 6.50716e-03 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 6.97494e-03 1.6500000000000001 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 8.62718e-03 1.375 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 8.56400e-03 1.2375 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.05290e-02 1.1687500000000002 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.79641e-02 1.1343750000000001 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.03230e-02 1.1515625000000003 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.29490e-02 1.1601562500000002 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.72519e-02 1.1558593750000004 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.25070e-02 1.1580078125000002 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.50761e-02 1.1569335937500003 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.50790e-02 1.1574707031250002 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.32861e-02 1.1577392578125 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.33851e-02 1.1576049804687503 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.55349e-02 1.1575378417968754 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.25739e-02 1.1575714111328128 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.82400e-02 1.1575881958007814 JuMP.solution_summary(model) = solution_summary(; result = 1, verbose = false) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.43780e-02 1.1575798034667972 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [0.2100000000000002 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 1.2100000000000002 _[3] - _[39] 5 _[1] + 1.2100000000000002 _[2] + 10 _[3] - _[38] -25 _[1] + 1.2100000000000002 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [1.2100000000000002 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 1.2100000000000002 _[3] + 5 _[9] + 10 _[10] - _[44] 1.2100000000000002 _[2] + 5 _[9] + 10 _[11] - _[43] 1.2100000000000002 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 1.2100000000000002 _[5] - _[47] … 6 _[1] + 3 _[2] + 1.2100000000000002 _[7] + _[49] 6 _[1] + 3 _[3] + 1.2100000000000002 _[6] + _[48] -9 _[1] + 1.2100000000000002 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [1.2100000000000002 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 1.2100000000000002 _[7] + 6 _[9] + 3 _[10] + _[54] 1.2100000000000002 _[6] + 6 _[9] + 3 _[11] + _[53] 1.2100000000000002 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [1.2100000000000002 _[9] - _[57] … 1.2100000000000002 _[11] + _[59] 1.2100000000000002 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 1.2100000000000002 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [1.2100000000000002 _[9] - _[62] … 1.2100000000000002 _[11] + _[64] 1.2100000000000002 _[10] + _[63] 1.2100000000000002 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 1.2100000000000002 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 1.2100000000000002 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 1.2100000000000002 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 1.2100000000000002 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [-2.79 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 9.21 _[15] - 4 _[16] - _[74] -6 _[13] + 9.21 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 14.79 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [0.2100000000000002 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 1.2100000000000002 _[3] - _[39] 5 _[1] + 1.2100000000000002 _[2] + 10 _[3] - _[38] -25 _[1] + 1.2100000000000002 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [1.2100000000000002 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 1.2100000000000002 _[3] + 5 _[9] + 10 _[10] - _[44] 1.2100000000000002 _[2] + 5 _[9] + 10 _[11] - _[43] 1.2100000000000002 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 1.2100000000000002 _[5] - _[47] … 6 _[1] + 3 _[2] + 1.2100000000000002 _[7] + _[49] 6 _[1] + 3 _[3] + 1.2100000000000002 _[6] + _[48] -9 _[1] + 1.2100000000000002 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [1.2100000000000002 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 1.2100000000000002 _[7] + 6 _[9] + 3 _[10] + _[54] 1.2100000000000002 _[6] + 6 _[9] + 3 _[11] + _[53] 1.2100000000000002 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [1.2100000000000002 _[9] - _[57] … 1.2100000000000002 _[11] + _[59] 1.2100000000000002 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 1.2100000000000002 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [1.2100000000000002 _[9] - _[62] … 1.2100000000000002 _[11] + _[64] 1.2100000000000002 _[10] + _[63] 1.2100000000000002 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 1.2100000000000002 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 1.2100000000000002 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 1.2100000000000002 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 1.2100000000000002 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [-2.79 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 9.21 _[15] - 4 _[16] - _[74] -6 _[13] + 9.21 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 14.79 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.17450e-02 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [3.8400000000000007 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 4.840000000000001 _[3] - _[39] 5 _[1] + 4.840000000000001 _[2] + 10 _[3] - _[38] -25 _[1] + 4.840000000000001 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [4.840000000000001 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 4.840000000000001 _[3] + 5 _[9] + 10 _[10] - _[44] 4.840000000000001 _[2] + 5 _[9] + 10 _[11] - _[43] 4.840000000000001 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 4.840000000000001 _[5] - _[47] … 6 _[1] + 3 _[2] + 4.840000000000001 _[7] + _[49] 6 _[1] + 3 _[3] + 4.840000000000001 _[6] + _[48] -9 _[1] + 4.840000000000001 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [4.840000000000001 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 4.840000000000001 _[7] + 6 _[9] + 3 _[10] + _[54] 4.840000000000001 _[6] + 6 _[9] + 3 _[11] + _[53] 4.840000000000001 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [4.840000000000001 _[9] - _[57] … 4.840000000000001 _[11] + _[59] 4.840000000000001 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 4.840000000000001 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [4.840000000000001 _[9] - _[62] … 4.840000000000001 _[11] + _[64] 4.840000000000001 _[10] + _[63] 4.840000000000001 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 4.840000000000001 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 4.840000000000001 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 4.840000000000001 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 4.840000000000001 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [0.8400000000000007 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 12.84 _[15] - 4 _[16] - _[74] -6 _[13] + 12.84 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 11.16 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [3.8400000000000007 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 4.840000000000001 _[3] - _[39] 5 _[1] + 4.840000000000001 _[2] + 10 _[3] - _[38] -25 _[1] + 4.840000000000001 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [4.840000000000001 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 4.840000000000001 _[3] + 5 _[9] + 10 _[10] - _[44] 4.840000000000001 _[2] + 5 _[9] + 10 _[11] - _[43] 4.840000000000001 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 4.840000000000001 _[5] - _[47] … 6 _[1] + 3 _[2] + 4.840000000000001 _[7] + _[49] 6 _[1] + 3 _[3] + 4.840000000000001 _[6] + _[48] -9 _[1] + 4.840000000000001 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [4.840000000000001 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 4.840000000000001 _[7] + 6 _[9] + 3 _[10] + _[54] 4.840000000000001 _[6] + 6 _[9] + 3 _[11] + _[53] 4.840000000000001 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [4.840000000000001 _[9] - _[57] … 4.840000000000001 _[11] + _[59] 4.840000000000001 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 4.840000000000001 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [4.840000000000001 _[9] - _[62] … 4.840000000000001 _[11] + _[64] 4.840000000000001 _[10] + _[63] 4.840000000000001 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 4.840000000000001 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 4.840000000000001 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 4.840000000000001 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 4.840000000000001 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [0.8400000000000007 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 12.84 _[15] - 4 _[16] - _[74] -6 _[13] + 12.84 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 11.16 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.24040e-02 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [18.360000000000003 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 19.360000000000003 _[3] - _[39] 5 _[1] + 19.360000000000003 _[2] + 10 _[3] - _[38] -25 _[1] + 19.360000000000003 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [19.360000000000003 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 19.360000000000003 _[3] + 5 _[9] + 10 _[10] - _[44] 19.360000000000003 _[2] + 5 _[9] + 10 _[11] - _[43] 19.360000000000003 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 19.360000000000003 _[5] - _[47] … 6 _[1] + 3 _[2] + 19.360000000000003 _[7] + _[49] 6 _[1] + 3 _[3] + 19.360000000000003 _[6] + _[48] -9 _[1] + 19.360000000000003 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [19.360000000000003 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 19.360000000000003 _[7] + 6 _[9] + 3 _[10] + _[54] 19.360000000000003 _[6] + 6 _[9] + 3 _[11] + _[53] 19.360000000000003 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [19.360000000000003 _[9] - _[57] … 19.360000000000003 _[11] + _[59] 19.360000000000003 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 19.360000000000003 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [19.360000000000003 _[9] - _[62] … 19.360000000000003 _[11] + _[64] 19.360000000000003 _[10] + _[63] 19.360000000000003 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 19.360000000000003 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 19.360000000000003 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 19.360000000000003 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 19.360000000000003 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [15.360000000000003 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 27.360000000000003 _[15] - 4 _[16] - _[74] -6 _[13] + 27.360000000000003 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] + 3.360000000000003 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [18.360000000000003 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 19.360000000000003 _[3] - _[39] 5 _[1] + 19.360000000000003 _[2] + 10 _[3] - _[38] -25 _[1] + 19.360000000000003 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [19.360000000000003 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 19.360000000000003 _[3] + 5 _[9] + 10 _[10] - _[44] 19.360000000000003 _[2] + 5 _[9] + 10 _[11] - _[43] 19.360000000000003 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 19.360000000000003 _[5] - _[47] … 6 _[1] + 3 _[2] + 19.360000000000003 _[7] + _[49] 6 _[1] + 3 _[3] + 19.360000000000003 _[6] + _[48] -9 _[1] + 19.360000000000003 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [19.360000000000003 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 19.360000000000003 _[7] + 6 _[9] + 3 _[10] + _[54] 19.360000000000003 _[6] + 6 _[9] + 3 _[11] + _[53] 19.360000000000003 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [19.360000000000003 _[9] - _[57] … 19.360000000000003 _[11] + _[59] 19.360000000000003 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 19.360000000000003 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [19.360000000000003 _[9] - _[62] … 19.360000000000003 _[11] + _[64] 19.360000000000003 _[10] + _[63] 19.360000000000003 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 19.360000000000003 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 19.360000000000003 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 19.360000000000003 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 19.360000000000003 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [15.360000000000003 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 27.360000000000003 _[15] - 4 _[16] - _[74] -6 _[13] + 27.360000000000003 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] + 3.360000000000003 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 5.21588e-03 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.890000000000002 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.890000000000002 _[3] - _[39] 5 _[1] + 10.890000000000002 _[2] + 10 _[3] - _[38] -25 _[1] + 10.890000000000002 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.890000000000002 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.890000000000002 _[3] + 5 _[9] + 10 _[10] - _[44] 10.890000000000002 _[2] + 5 _[9] + 10 _[11] - _[43] 10.890000000000002 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.890000000000002 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.890000000000002 _[7] + _[49] 6 _[1] + 3 _[3] + 10.890000000000002 _[6] + _[48] -9 _[1] + 10.890000000000002 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.890000000000002 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.890000000000002 _[7] + 6 _[9] + 3 _[10] + _[54] 10.890000000000002 _[6] + 6 _[9] + 3 _[11] + _[53] 10.890000000000002 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.890000000000002 _[9] - _[57] … 10.890000000000002 _[11] + _[59] 10.890000000000002 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.890000000000002 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.890000000000002 _[9] - _[62] … 10.890000000000002 _[11] + _[64] 10.890000000000002 _[10] + _[63] 10.890000000000002 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.890000000000002 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.890000000000002 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.890000000000002 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.890000000000002 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.890000000000002 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.89 _[15] - 4 _[16] - _[74] -6 _[13] + 18.89 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.109999999999998 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.890000000000002 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.890000000000002 _[3] - _[39] 5 _[1] + 10.890000000000002 _[2] + 10 _[3] - _[38] -25 _[1] + 10.890000000000002 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.890000000000002 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.890000000000002 _[3] + 5 _[9] + 10 _[10] - _[44] 10.890000000000002 _[2] + 5 _[9] + 10 _[11] - _[43] 10.890000000000002 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.890000000000002 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.890000000000002 _[7] + _[49] 6 _[1] + 3 _[3] + 10.890000000000002 _[6] + _[48] -9 _[1] + 10.890000000000002 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.890000000000002 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.890000000000002 _[7] + 6 _[9] + 3 _[10] + _[54] 10.890000000000002 _[6] + 6 _[9] + 3 _[11] + _[53] 10.890000000000002 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.890000000000002 _[9] - _[57] … 10.890000000000002 _[11] + _[59] 10.890000000000002 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.890000000000002 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.890000000000002 _[9] - _[62] … 10.890000000000002 _[11] + _[64] 10.890000000000002 _[10] + _[63] 10.890000000000002 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.890000000000002 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.890000000000002 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.890000000000002 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.890000000000002 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.890000000000002 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.89 _[15] - 4 _[16] - _[74] -6 _[13] + 18.89 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.109999999999998 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 5.58996e-03 3.3000000000000003 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [6.5625 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 7.5625 _[3] - _[39] 5 _[1] + 7.5625 _[2] + 10 _[3] - _[38] -25 _[1] + 7.5625 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [7.5625 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 7.5625 _[3] + 5 _[9] + 10 _[10] - _[44] 7.5625 _[2] + 5 _[9] + 10 _[11] - _[43] 7.5625 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 7.5625 _[5] - _[47] … 6 _[1] + 3 _[2] + 7.5625 _[7] + _[49] 6 _[1] + 3 _[3] + 7.5625 _[6] + _[48] -9 _[1] + 7.5625 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [7.5625 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 7.5625 _[7] + 6 _[9] + 3 _[10] + _[54] 7.5625 _[6] + 6 _[9] + 3 _[11] + _[53] 7.5625 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [7.5625 _[9] - _[57] 7.5625 _[11] + _[59] 7.5625 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 7.5625 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [7.5625 _[9] - _[62] 7.5625 _[11] + _[64] 7.5625 _[10] + _[63] 7.5625 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 7.5625 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 7.5625 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 7.5625 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 7.5625 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [3.5625 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 15.5625 _[15] - 4 _[16] - _[74] -6 _[13] + 15.5625 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 8.4375 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [6.5625 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 7.5625 _[3] - _[39] 5 _[1] + 7.5625 _[2] + 10 _[3] - _[38] -25 _[1] + 7.5625 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [7.5625 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 7.5625 _[3] + 5 _[9] + 10 _[10] - _[44] 7.5625 _[2] + 5 _[9] + 10 _[11] - _[43] 7.5625 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 7.5625 _[5] - _[47] … 6 _[1] + 3 _[2] + 7.5625 _[7] + _[49] 6 _[1] + 3 _[3] + 7.5625 _[6] + _[48] -9 _[1] + 7.5625 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [7.5625 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 7.5625 _[7] + 6 _[9] + 3 _[10] + _[54] 7.5625 _[6] + 6 _[9] + 3 _[11] + _[53] 7.5625 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [7.5625 _[9] - _[57] 7.5625 _[11] + _[59] 7.5625 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 7.5625 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [7.5625 _[9] - _[62] 7.5625 _[11] + _[64] 7.5625 _[10] + _[63] 7.5625 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 7.5625 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 7.5625 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 7.5625 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 7.5625 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [3.5625 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 15.5625 _[15] - 4 _[16] - _[74] -6 _[13] + 15.5625 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 8.4375 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.41590e-02 2.75 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.150625000000002 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.150625000000002 _[3] - _[39] 5 _[1] + 9.150625000000002 _[2] + 10 _[3] - _[38] -25 _[1] + 9.150625000000002 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.150625000000002 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.150625000000002 _[3] + 5 _[9] + 10 _[10] - _[44] 9.150625000000002 _[2] + 5 _[9] + 10 _[11] - _[43] 9.150625000000002 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.150625000000002 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.150625000000002 _[7] + _[49] 6 _[1] + 3 _[3] + 9.150625000000002 _[6] + _[48] -9 _[1] + 9.150625000000002 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.150625000000002 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.150625000000002 _[7] + 6 _[9] + 3 _[10] + _[54] 9.150625000000002 _[6] + 6 _[9] + 3 _[11] + _[53] 9.150625000000002 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.150625000000002 _[9] - _[57] … 9.150625000000002 _[11] + _[59] 9.150625000000002 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.150625000000002 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.150625000000002 _[9] - _[62] … 9.150625000000002 _[11] + _[64] 9.150625000000002 _[10] + _[63] 9.150625000000002 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.150625000000002 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.150625000000002 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.150625000000002 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.150625000000002 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.150625000000002 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.150625 _[15] - 4 _[16] - _[74] -6 _[13] + 17.150625 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.849374999999998 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.150625000000002 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.150625000000002 _[3] - _[39] 5 _[1] + 9.150625000000002 _[2] + 10 _[3] - _[38] -25 _[1] + 9.150625000000002 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.150625000000002 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.150625000000002 _[3] + 5 _[9] + 10 _[10] - _[44] 9.150625000000002 _[2] + 5 _[9] + 10 _[11] - _[43] 9.150625000000002 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.150625000000002 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.150625000000002 _[7] + _[49] 6 _[1] + 3 _[3] + 9.150625000000002 _[6] + _[48] -9 _[1] + 9.150625000000002 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.150625000000002 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.150625000000002 _[7] + 6 _[9] + 3 _[10] + _[54] 9.150625000000002 _[6] + 6 _[9] + 3 _[11] + _[53] 9.150625000000002 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.150625000000002 _[9] - _[57] … 9.150625000000002 _[11] + _[59] 9.150625000000002 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.150625000000002 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.150625000000002 _[9] - _[62] … 9.150625000000002 _[11] + _[64] 9.150625000000002 _[10] + _[63] 9.150625000000002 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.150625000000002 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.150625000000002 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.150625000000002 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.150625000000002 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.150625000000002 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.150625 _[15] - 4 _[16] - _[74] -6 _[13] + 17.150625 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.849374999999998 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.71029e-02 3.0250000000000004 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.001406250000004 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.001406250000004 _[3] - _[39] 5 _[1] + 10.001406250000004 _[2] + 10 _[3] - _[38] -25 _[1] + 10.001406250000004 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.001406250000004 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.001406250000004 _[3] + 5 _[9] + 10 _[10] - _[44] 10.001406250000004 _[2] + 5 _[9] + 10 _[11] - _[43] 10.001406250000004 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.001406250000004 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.001406250000004 _[7] + _[49] 6 _[1] + 3 _[3] + 10.001406250000004 _[6] + _[48] -9 _[1] + 10.001406250000004 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.001406250000004 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.001406250000004 _[7] + 6 _[9] + 3 _[10] + _[54] 10.001406250000004 _[6] + 6 _[9] + 3 _[11] + _[53] 10.001406250000004 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.001406250000004 _[9] - _[57] … 10.001406250000004 _[11] + _[59] 10.001406250000004 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.001406250000004 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.001406250000004 _[9] - _[62] … 10.001406250000004 _[11] + _[64] 10.001406250000004 _[10] + _[63] 10.001406250000004 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.001406250000004 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.001406250000004 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.001406250000004 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.001406250000004 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.001406250000004 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.001406250000002 _[15] - 4 _[16] - _[74] -6 _[13] + 18.001406250000002 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.998593749999996 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.001406250000004 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.001406250000004 _[3] - _[39] 5 _[1] + 10.001406250000004 _[2] + 10 _[3] - _[38] -25 _[1] + 10.001406250000004 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.001406250000004 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.001406250000004 _[3] + 5 _[9] + 10 _[10] - _[44] 10.001406250000004 _[2] + 5 _[9] + 10 _[11] - _[43] 10.001406250000004 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.001406250000004 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.001406250000004 _[7] + _[49] 6 _[1] + 3 _[3] + 10.001406250000004 _[6] + _[48] -9 _[1] + 10.001406250000004 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.001406250000004 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.001406250000004 _[7] + 6 _[9] + 3 _[10] + _[54] 10.001406250000004 _[6] + 6 _[9] + 3 _[11] + _[53] 10.001406250000004 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.001406250000004 _[9] - _[57] … 10.001406250000004 _[11] + _[59] 10.001406250000004 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.001406250000004 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.001406250000004 _[9] - _[62] … 10.001406250000004 _[11] + _[64] 10.001406250000004 _[10] + _[63] 10.001406250000004 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.001406250000004 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.001406250000004 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.001406250000004 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.001406250000004 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.001406250000004 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.001406250000002 _[15] - 4 _[16] - _[74] -6 _[13] + 18.001406250000002 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.998593749999996 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.10810e-02 3.1625000000000005 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.571289062500004 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.571289062500004 _[3] - _[39] 5 _[1] + 9.571289062500004 _[2] + 10 _[3] - _[38] -25 _[1] + 9.571289062500004 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.571289062500004 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.571289062500004 _[3] + 5 _[9] + 10 _[10] - _[44] 9.571289062500004 _[2] + 5 _[9] + 10 _[11] - _[43] 9.571289062500004 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.571289062500004 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.571289062500004 _[7] + _[49] 6 _[1] + 3 _[3] + 9.571289062500004 _[6] + _[48] -9 _[1] + 9.571289062500004 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.571289062500004 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.571289062500004 _[7] + 6 _[9] + 3 _[10] + _[54] 9.571289062500004 _[6] + 6 _[9] + 3 _[11] + _[53] 9.571289062500004 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.571289062500004 _[9] - _[57] … 9.571289062500004 _[11] + _[59] 9.571289062500004 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.571289062500004 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.571289062500004 _[9] - _[62] … 9.571289062500004 _[11] + _[64] 9.571289062500004 _[10] + _[63] 9.571289062500004 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.571289062500004 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.571289062500004 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.571289062500004 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.571289062500004 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.5712890625000036 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.571289062500004 _[15] - 4 _[16] - _[74] -6 _[13] + 17.571289062500004 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.4287109374999964 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.571289062500004 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.571289062500004 _[3] - _[39] 5 _[1] + 9.571289062500004 _[2] + 10 _[3] - _[38] -25 _[1] + 9.571289062500004 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.571289062500004 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.571289062500004 _[3] + 5 _[9] + 10 _[10] - _[44] 9.571289062500004 _[2] + 5 _[9] + 10 _[11] - _[43] 9.571289062500004 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.571289062500004 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.571289062500004 _[7] + _[49] 6 _[1] + 3 _[3] + 9.571289062500004 _[6] + _[48] -9 _[1] + 9.571289062500004 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.571289062500004 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.571289062500004 _[7] + 6 _[9] + 3 _[10] + _[54] 9.571289062500004 _[6] + 6 _[9] + 3 _[11] + _[53] 9.571289062500004 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.571289062500004 _[9] - _[57] … 9.571289062500004 _[11] + _[59] 9.571289062500004 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.571289062500004 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.571289062500004 _[9] - _[62] … 9.571289062500004 _[11] + _[64] 9.571289062500004 _[10] + _[63] 9.571289062500004 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.571289062500004 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.571289062500004 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.571289062500004 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.571289062500004 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.5712890625000036 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.571289062500004 _[15] - 4 _[16] - _[74] -6 _[13] + 17.571289062500004 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.4287109374999964 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.48191e-02 3.0937500000000004 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.785166015625004 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.785166015625004 _[3] - _[39] 5 _[1] + 9.785166015625004 _[2] + 10 _[3] - _[38] -25 _[1] + 9.785166015625004 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.785166015625004 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.785166015625004 _[3] + 5 _[9] + 10 _[10] - _[44] 9.785166015625004 _[2] + 5 _[9] + 10 _[11] - _[43] 9.785166015625004 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.785166015625004 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.785166015625004 _[7] + _[49] 6 _[1] + 3 _[3] + 9.785166015625004 _[6] + _[48] -9 _[1] + 9.785166015625004 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.785166015625004 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.785166015625004 _[7] + 6 _[9] + 3 _[10] + _[54] 9.785166015625004 _[6] + 6 _[9] + 3 _[11] + _[53] 9.785166015625004 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.785166015625004 _[9] - _[57] … 9.785166015625004 _[11] + _[59] 9.785166015625004 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.785166015625004 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.785166015625004 _[9] - _[62] … 9.785166015625004 _[11] + _[64] 9.785166015625004 _[10] + _[63] 9.785166015625004 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.785166015625004 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.785166015625004 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.785166015625004 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.785166015625004 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.785166015625004 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.785166015625002 _[15] - 4 _[16] - _[74] -6 _[13] + 17.785166015625002 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.214833984374996 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.785166015625004 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.785166015625004 _[3] - _[39] 5 _[1] + 9.785166015625004 _[2] + 10 _[3] - _[38] -25 _[1] + 9.785166015625004 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.785166015625004 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.785166015625004 _[3] + 5 _[9] + 10 _[10] - _[44] 9.785166015625004 _[2] + 5 _[9] + 10 _[11] - _[43] 9.785166015625004 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.785166015625004 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.785166015625004 _[7] + _[49] 6 _[1] + 3 _[3] + 9.785166015625004 _[6] + _[48] -9 _[1] + 9.785166015625004 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.785166015625004 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.785166015625004 _[7] + 6 _[9] + 3 _[10] + _[54] 9.785166015625004 _[6] + 6 _[9] + 3 _[11] + _[53] 9.785166015625004 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.785166015625004 _[9] - _[57] … 9.785166015625004 _[11] + _[59] 9.785166015625004 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.785166015625004 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.785166015625004 _[9] - _[62] … 9.785166015625004 _[11] + _[64] 9.785166015625004 _[10] + _[63] 9.785166015625004 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.785166015625004 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.785166015625004 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.785166015625004 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.785166015625004 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.785166015625004 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.785166015625002 _[15] - 4 _[16] - _[74] -6 _[13] + 17.785166015625002 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.214833984374996 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.47898e-02 3.1281250000000007 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.892990722656254 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.892990722656254 _[3] - _[39] 5 _[1] + 9.892990722656254 _[2] + 10 _[3] - _[38] -25 _[1] + 9.892990722656254 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.892990722656254 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.892990722656254 _[3] + 5 _[9] + 10 _[10] - _[44] 9.892990722656254 _[2] + 5 _[9] + 10 _[11] - _[43] 9.892990722656254 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.892990722656254 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.892990722656254 _[7] + _[49] 6 _[1] + 3 _[3] + 9.892990722656254 _[6] + _[48] -9 _[1] + 9.892990722656254 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.892990722656254 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.892990722656254 _[7] + 6 _[9] + 3 _[10] + _[54] 9.892990722656254 _[6] + 6 _[9] + 3 _[11] + _[53] 9.892990722656254 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.892990722656254 _[9] - _[57] … 9.892990722656254 _[11] + _[59] 9.892990722656254 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.892990722656254 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.892990722656254 _[9] - _[62] … 9.892990722656254 _[11] + _[64] 9.892990722656254 _[10] + _[63] 9.892990722656254 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.892990722656254 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.892990722656254 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.892990722656254 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.892990722656254 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.892990722656254 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.892990722656254 _[15] - 4 _[16] - _[74] -6 _[13] + 17.892990722656254 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.107009277343746 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.892990722656254 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.892990722656254 _[3] - _[39] 5 _[1] + 9.892990722656254 _[2] + 10 _[3] - _[38] -25 _[1] + 9.892990722656254 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.892990722656254 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.892990722656254 _[3] + 5 _[9] + 10 _[10] - _[44] 9.892990722656254 _[2] + 5 _[9] + 10 _[11] - _[43] 9.892990722656254 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.892990722656254 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.892990722656254 _[7] + _[49] 6 _[1] + 3 _[3] + 9.892990722656254 _[6] + _[48] -9 _[1] + 9.892990722656254 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.892990722656254 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.892990722656254 _[7] + 6 _[9] + 3 _[10] + _[54] 9.892990722656254 _[6] + 6 _[9] + 3 _[11] + _[53] 9.892990722656254 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.892990722656254 _[9] - _[57] … 9.892990722656254 _[11] + _[59] 9.892990722656254 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.892990722656254 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.892990722656254 _[9] - _[62] … 9.892990722656254 _[11] + _[64] 9.892990722656254 _[10] + _[63] 9.892990722656254 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.892990722656254 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.892990722656254 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.892990722656254 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.892990722656254 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.892990722656254 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.892990722656254 _[15] - 4 _[16] - _[74] -6 _[13] + 17.892990722656254 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.107009277343746 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.53210e-02 3.1453125000000006 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.947124633789064 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.947124633789064 _[3] - _[39] 5 _[1] + 9.947124633789064 _[2] + 10 _[3] - _[38] -25 _[1] + 9.947124633789064 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.947124633789064 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.947124633789064 _[3] + 5 _[9] + 10 _[10] - _[44] 9.947124633789064 _[2] + 5 _[9] + 10 _[11] - _[43] 9.947124633789064 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.947124633789064 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.947124633789064 _[7] + _[49] 6 _[1] + 3 _[3] + 9.947124633789064 _[6] + _[48] -9 _[1] + 9.947124633789064 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.947124633789064 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.947124633789064 _[7] + 6 _[9] + 3 _[10] + _[54] 9.947124633789064 _[6] + 6 _[9] + 3 _[11] + _[53] 9.947124633789064 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.947124633789064 _[9] - _[57] … 9.947124633789064 _[11] + _[59] 9.947124633789064 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.947124633789064 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.947124633789064 _[9] - _[62] … 9.947124633789064 _[11] + _[64] 9.947124633789064 _[10] + _[63] 9.947124633789064 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.947124633789064 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.947124633789064 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.947124633789064 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.947124633789064 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.947124633789064 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.947124633789066 _[15] - 4 _[16] - _[74] -6 _[13] + 17.947124633789066 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.052875366210936 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.947124633789064 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.947124633789064 _[3] - _[39] 5 _[1] + 9.947124633789064 _[2] + 10 _[3] - _[38] -25 _[1] + 9.947124633789064 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.947124633789064 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.947124633789064 _[3] + 5 _[9] + 10 _[10] - _[44] 9.947124633789064 _[2] + 5 _[9] + 10 _[11] - _[43] 9.947124633789064 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.947124633789064 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.947124633789064 _[7] + _[49] 6 _[1] + 3 _[3] + 9.947124633789064 _[6] + _[48] -9 _[1] + 9.947124633789064 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.947124633789064 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.947124633789064 _[7] + 6 _[9] + 3 _[10] + _[54] 9.947124633789064 _[6] + 6 _[9] + 3 _[11] + _[53] 9.947124633789064 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.947124633789064 _[9] - _[57] … 9.947124633789064 _[11] + _[59] 9.947124633789064 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.947124633789064 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.947124633789064 _[9] - _[62] … 9.947124633789064 _[11] + _[64] 9.947124633789064 _[10] + _[63] 9.947124633789064 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.947124633789064 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.947124633789064 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.947124633789064 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.947124633789064 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.947124633789064 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.947124633789066 _[15] - 4 _[16] - _[74] -6 _[13] + 17.947124633789066 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.052875366210936 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 2.54569e-02 3.1539062500000004 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.97424697875977 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.97424697875977 _[3] - _[39] 5 _[1] + 9.97424697875977 _[2] + 10 _[3] - _[38] -25 _[1] + 9.97424697875977 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.97424697875977 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.97424697875977 _[3] + 5 _[9] + 10 _[10] - _[44] 9.97424697875977 _[2] + 5 _[9] + 10 _[11] - _[43] 9.97424697875977 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.97424697875977 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.97424697875977 _[7] + _[49] 6 _[1] + 3 _[3] + 9.97424697875977 _[6] + _[48] -9 _[1] + 9.97424697875977 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.97424697875977 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.97424697875977 _[7] + 6 _[9] + 3 _[10] + _[54] 9.97424697875977 _[6] + 6 _[9] + 3 _[11] + _[53] 9.97424697875977 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.97424697875977 _[9] - _[57] … 9.97424697875977 _[11] + _[59] 9.97424697875977 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.97424697875977 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.97424697875977 _[9] - _[62] … 9.97424697875977 _[11] + _[64] 9.97424697875977 _[10] + _[63] 9.97424697875977 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.97424697875977 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.97424697875977 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.97424697875977 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.97424697875977 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.974246978759769 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.97424697875977 _[15] - 4 _[16] - _[74] -6 _[13] + 17.97424697875977 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.025753021240231 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.97424697875977 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.97424697875977 _[3] - _[39] 5 _[1] + 9.97424697875977 _[2] + 10 _[3] - _[38] -25 _[1] + 9.97424697875977 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.97424697875977 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.97424697875977 _[3] + 5 _[9] + 10 _[10] - _[44] 9.97424697875977 _[2] + 5 _[9] + 10 _[11] - _[43] 9.97424697875977 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.97424697875977 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.97424697875977 _[7] + _[49] 6 _[1] + 3 _[3] + 9.97424697875977 _[6] + _[48] -9 _[1] + 9.97424697875977 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.97424697875977 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.97424697875977 _[7] + 6 _[9] + 3 _[10] + _[54] 9.97424697875977 _[6] + 6 _[9] + 3 _[11] + _[53] 9.97424697875977 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.97424697875977 _[9] - _[57] … 9.97424697875977 _[11] + _[59] 9.97424697875977 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.97424697875977 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.97424697875977 _[9] - _[62] … 9.97424697875977 _[11] + _[64] 9.97424697875977 _[10] + _[63] 9.97424697875977 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.97424697875977 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.97424697875977 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.97424697875977 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.97424697875977 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.974246978759769 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.97424697875977 _[15] - 4 _[16] - _[74] -6 _[13] + 17.97424697875977 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.025753021240231 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : SLOW_PROGRESS │ ├ result_count : 1 │ └ raw_status : Stuck at edge of primal feasibility. ├ Solution (result = 1) │ ├ primal_status : UNKNOWN_RESULT_STATUS │ ├ dual_status : UNKNOWN_RESULT_STATUS │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 8.78830e-02 3.1582031250000004 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.960681190490725 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.960681190490725 _[3] - _[39] 5 _[1] + 9.960681190490725 _[2] + 10 _[3] - _[38] -25 _[1] + 9.960681190490725 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.960681190490725 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.960681190490725 _[3] + 5 _[9] + 10 _[10] - _[44] 9.960681190490725 _[2] + 5 _[9] + 10 _[11] - _[43] 9.960681190490725 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.960681190490725 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.960681190490725 _[7] + _[49] 6 _[1] + 3 _[3] + 9.960681190490725 _[6] + _[48] -9 _[1] + 9.960681190490725 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.960681190490725 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.960681190490725 _[7] + 6 _[9] + 3 _[10] + _[54] 9.960681190490725 _[6] + 6 _[9] + 3 _[11] + _[53] 9.960681190490725 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.960681190490725 _[9] - _[57] … 9.960681190490725 _[11] + _[59] 9.960681190490725 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.960681190490725 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.960681190490725 _[9] - _[62] … 9.960681190490725 _[11] + _[64] 9.960681190490725 _[10] + _[63] 9.960681190490725 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.960681190490725 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.960681190490725 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.960681190490725 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.960681190490725 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.960681190490725 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.960681190490725 _[15] - 4 _[16] - _[74] -6 _[13] + 17.960681190490725 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.039318809509275 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.960681190490725 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.960681190490725 _[3] - _[39] 5 _[1] + 9.960681190490725 _[2] + 10 _[3] - _[38] -25 _[1] + 9.960681190490725 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.960681190490725 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.960681190490725 _[3] + 5 _[9] + 10 _[10] - _[44] 9.960681190490725 _[2] + 5 _[9] + 10 _[11] - _[43] 9.960681190490725 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.960681190490725 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.960681190490725 _[7] + _[49] 6 _[1] + 3 _[3] + 9.960681190490725 _[6] + _[48] -9 _[1] + 9.960681190490725 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.960681190490725 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.960681190490725 _[7] + 6 _[9] + 3 _[10] + _[54] 9.960681190490725 _[6] + 6 _[9] + 3 _[11] + _[53] 9.960681190490725 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.960681190490725 _[9] - _[57] … 9.960681190490725 _[11] + _[59] 9.960681190490725 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.960681190490725 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.960681190490725 _[9] - _[62] … 9.960681190490725 _[11] + _[64] 9.960681190490725 _[10] + _[63] 9.960681190490725 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.960681190490725 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.960681190490725 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.960681190490725 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.960681190490725 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.960681190490725 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.960681190490725 _[15] - 4 _[16] - _[74] -6 _[13] + 17.960681190490725 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.039318809509275 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.54061e-02 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.981033334732057 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.981033334732057 _[3] - _[39] 5 _[1] + 9.981033334732057 _[2] + 10 _[3] - _[38] -25 _[1] + 9.981033334732057 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.981033334732057 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.981033334732057 _[3] + 5 _[9] + 10 _[10] - _[44] 9.981033334732057 _[2] + 5 _[9] + 10 _[11] - _[43] 9.981033334732057 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.981033334732057 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.981033334732057 _[7] + _[49] 6 _[1] + 3 _[3] + 9.981033334732057 _[6] + _[48] -9 _[1] + 9.981033334732057 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.981033334732057 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.981033334732057 _[7] + 6 _[9] + 3 _[10] + _[54] 9.981033334732057 _[6] + 6 _[9] + 3 _[11] + _[53] 9.981033334732057 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.981033334732057 _[9] - _[57] … 9.981033334732057 _[11] + _[59] 9.981033334732057 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.981033334732057 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.981033334732057 _[9] - _[62] … 9.981033334732057 _[11] + _[64] 9.981033334732057 _[10] + _[63] 9.981033334732057 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.981033334732057 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.981033334732057 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.981033334732057 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.981033334732057 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.981033334732057 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.981033334732057 _[15] - 4 _[16] - _[74] -6 _[13] + 17.981033334732057 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.018966665267943 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.981033334732057 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.981033334732057 _[3] - _[39] 5 _[1] + 9.981033334732057 _[2] + 10 _[3] - _[38] -25 _[1] + 9.981033334732057 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.981033334732057 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.981033334732057 _[3] + 5 _[9] + 10 _[10] - _[44] 9.981033334732057 _[2] + 5 _[9] + 10 _[11] - _[43] 9.981033334732057 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.981033334732057 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.981033334732057 _[7] + _[49] 6 _[1] + 3 _[3] + 9.981033334732057 _[6] + _[48] -9 _[1] + 9.981033334732057 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.981033334732057 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.981033334732057 _[7] + 6 _[9] + 3 _[10] + _[54] 9.981033334732057 _[6] + 6 _[9] + 3 _[11] + _[53] 9.981033334732057 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.981033334732057 _[9] - _[57] … 9.981033334732057 _[11] + _[59] 9.981033334732057 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.981033334732057 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.981033334732057 _[9] - _[62] … 9.981033334732057 _[11] + _[64] 9.981033334732057 _[10] + _[63] 9.981033334732057 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.981033334732057 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.981033334732057 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.981033334732057 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.981033334732057 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.981033334732057 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.981033334732057 _[15] - 4 _[16] - _[74] -6 _[13] + 17.981033334732057 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.018966665267943 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.65529e-02 3.1592773437500004 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.991217195987705 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.991217195987705 _[3] - _[39] 5 _[1] + 9.991217195987705 _[2] + 10 _[3] - _[38] -25 _[1] + 9.991217195987705 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.991217195987705 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.991217195987705 _[3] + 5 _[9] + 10 _[10] - _[44] 9.991217195987705 _[2] + 5 _[9] + 10 _[11] - _[43] 9.991217195987705 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.991217195987705 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.991217195987705 _[7] + _[49] 6 _[1] + 3 _[3] + 9.991217195987705 _[6] + _[48] -9 _[1] + 9.991217195987705 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.991217195987705 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.991217195987705 _[7] + 6 _[9] + 3 _[10] + _[54] 9.991217195987705 _[6] + 6 _[9] + 3 _[11] + _[53] 9.991217195987705 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.991217195987705 _[9] - _[57] … 9.991217195987705 _[11] + _[59] 9.991217195987705 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.991217195987705 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.991217195987705 _[9] - _[62] … 9.991217195987705 _[11] + _[64] 9.991217195987705 _[10] + _[63] 9.991217195987705 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.991217195987705 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.991217195987705 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.991217195987705 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.991217195987705 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.991217195987705 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.991217195987705 _[15] - 4 _[16] - _[74] -6 _[13] + 17.991217195987705 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.008782804012295 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.991217195987705 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.991217195987705 _[3] - _[39] 5 _[1] + 9.991217195987705 _[2] + 10 _[3] - _[38] -25 _[1] + 9.991217195987705 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.991217195987705 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.991217195987705 _[3] + 5 _[9] + 10 _[10] - _[44] 9.991217195987705 _[2] + 5 _[9] + 10 _[11] - _[43] 9.991217195987705 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.991217195987705 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.991217195987705 _[7] + _[49] 6 _[1] + 3 _[3] + 9.991217195987705 _[6] + _[48] -9 _[1] + 9.991217195987705 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.991217195987705 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.991217195987705 _[7] + 6 _[9] + 3 _[10] + _[54] 9.991217195987705 _[6] + 6 _[9] + 3 _[11] + _[53] 9.991217195987705 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.991217195987705 _[9] - _[57] … 9.991217195987705 _[11] + _[59] 9.991217195987705 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.991217195987705 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.991217195987705 _[9] - _[62] … 9.991217195987705 _[11] + _[64] 9.991217195987705 _[10] + _[63] 9.991217195987705 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.991217195987705 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.991217195987705 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.991217195987705 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.991217195987705 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.991217195987705 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.991217195987705 _[15] - 4 _[16] - _[74] -6 _[13] + 17.991217195987705 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.008782804012295 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.53730e-02 3.1608886718750004 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.996311073899273 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.996311073899273 _[3] - _[39] 5 _[1] + 9.996311073899273 _[2] + 10 _[3] - _[38] -25 _[1] + 9.996311073899273 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.996311073899273 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.996311073899273 _[3] + 5 _[9] + 10 _[10] - _[44] 9.996311073899273 _[2] + 5 _[9] + 10 _[11] - _[43] 9.996311073899273 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.996311073899273 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.996311073899273 _[7] + _[49] 6 _[1] + 3 _[3] + 9.996311073899273 _[6] + _[48] -9 _[1] + 9.996311073899273 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.996311073899273 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.996311073899273 _[7] + 6 _[9] + 3 _[10] + _[54] 9.996311073899273 _[6] + 6 _[9] + 3 _[11] + _[53] 9.996311073899273 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.996311073899273 _[9] - _[57] … 9.996311073899273 _[11] + _[59] 9.996311073899273 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.996311073899273 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.996311073899273 _[9] - _[62] … 9.996311073899273 _[11] + _[64] 9.996311073899273 _[10] + _[63] 9.996311073899273 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.996311073899273 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.996311073899273 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.996311073899273 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.996311073899273 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.996311073899273 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.99631107389927 _[15] - 4 _[16] - _[74] -6 _[13] + 17.99631107389927 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.003688926100727 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.996311073899273 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.996311073899273 _[3] - _[39] 5 _[1] + 9.996311073899273 _[2] + 10 _[3] - _[38] -25 _[1] + 9.996311073899273 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.996311073899273 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.996311073899273 _[3] + 5 _[9] + 10 _[10] - _[44] 9.996311073899273 _[2] + 5 _[9] + 10 _[11] - _[43] 9.996311073899273 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.996311073899273 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.996311073899273 _[7] + _[49] 6 _[1] + 3 _[3] + 9.996311073899273 _[6] + _[48] -9 _[1] + 9.996311073899273 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.996311073899273 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.996311073899273 _[7] + 6 _[9] + 3 _[10] + _[54] 9.996311073899273 _[6] + 6 _[9] + 3 _[11] + _[53] 9.996311073899273 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.996311073899273 _[9] - _[57] … 9.996311073899273 _[11] + _[59] 9.996311073899273 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.996311073899273 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.996311073899273 _[9] - _[62] … 9.996311073899273 _[11] + _[64] 9.996311073899273 _[10] + _[63] 9.996311073899273 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.996311073899273 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.996311073899273 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.996311073899273 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.996311073899273 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.996311073899273 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.99631107389927 _[15] - 4 _[16] - _[74] -6 _[13] + 17.99631107389927 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.003688926100727 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.31030e-02 3.1616943359375007 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.998858499675993 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.998858499675993 _[3] - _[39] 5 _[1] + 9.998858499675993 _[2] + 10 _[3] - _[38] -25 _[1] + 9.998858499675993 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.998858499675993 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.998858499675993 _[3] + 5 _[9] + 10 _[10] - _[44] 9.998858499675993 _[2] + 5 _[9] + 10 _[11] - _[43] 9.998858499675993 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.998858499675993 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.998858499675993 _[7] + _[49] 6 _[1] + 3 _[3] + 9.998858499675993 _[6] + _[48] -9 _[1] + 9.998858499675993 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.998858499675993 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.998858499675993 _[7] + 6 _[9] + 3 _[10] + _[54] 9.998858499675993 _[6] + 6 _[9] + 3 _[11] + _[53] 9.998858499675993 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.998858499675993 _[9] - _[57] … 9.998858499675993 _[11] + _[59] 9.998858499675993 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.998858499675993 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.998858499675993 _[9] - _[62] … 9.998858499675993 _[11] + _[64] 9.998858499675993 _[10] + _[63] 9.998858499675993 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.998858499675993 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.998858499675993 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.998858499675993 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.998858499675993 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.998858499675993 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.998858499675993 _[15] - 4 _[16] - _[74] -6 _[13] + 17.998858499675993 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.001141500324007 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.998858499675993 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.998858499675993 _[3] - _[39] 5 _[1] + 9.998858499675993 _[2] + 10 _[3] - _[38] -25 _[1] + 9.998858499675993 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.998858499675993 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.998858499675993 _[3] + 5 _[9] + 10 _[10] - _[44] 9.998858499675993 _[2] + 5 _[9] + 10 _[11] - _[43] 9.998858499675993 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.998858499675993 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.998858499675993 _[7] + _[49] 6 _[1] + 3 _[3] + 9.998858499675993 _[6] + _[48] -9 _[1] + 9.998858499675993 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.998858499675993 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.998858499675993 _[7] + 6 _[9] + 3 _[10] + _[54] 9.998858499675993 _[6] + 6 _[9] + 3 _[11] + _[53] 9.998858499675993 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.998858499675993 _[9] - _[57] … 9.998858499675993 _[11] + _[59] 9.998858499675993 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.998858499675993 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.998858499675993 _[9] - _[62] … 9.998858499675993 _[11] + _[64] 9.998858499675993 _[10] + _[63] 9.998858499675993 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.998858499675993 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.998858499675993 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.998858499675993 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.998858499675993 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.998858499675993 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.998858499675993 _[15] - 4 _[16] - _[74] -6 _[13] + 17.998858499675993 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.001141500324007 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.45781e-02 3.1620971679687506 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.000132334269585 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.000132334269585 _[3] - _[39] 5 _[1] + 10.000132334269585 _[2] + 10 _[3] - _[38] -25 _[1] + 10.000132334269585 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.000132334269585 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.000132334269585 _[3] + 5 _[9] + 10 _[10] - _[44] 10.000132334269585 _[2] + 5 _[9] + 10 _[11] - _[43] 10.000132334269585 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.000132334269585 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.000132334269585 _[7] + _[49] 6 _[1] + 3 _[3] + 10.000132334269585 _[6] + _[48] -9 _[1] + 10.000132334269585 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.000132334269585 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.000132334269585 _[7] + 6 _[9] + 3 _[10] + _[54] 10.000132334269585 _[6] + 6 _[9] + 3 _[11] + _[53] 10.000132334269585 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.000132334269585 _[9] - _[57] … 10.000132334269585 _[11] + _[59] 10.000132334269585 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.000132334269585 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.000132334269585 _[9] - _[62] … 10.000132334269585 _[11] + _[64] 10.000132334269585 _[10] + _[63] 10.000132334269585 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.000132334269585 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.000132334269585 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.000132334269585 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.000132334269585 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.000132334269585 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.000132334269587 _[15] - 4 _[16] - _[74] -6 _[13] + 18.000132334269587 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.999867665730415 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.000132334269585 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.000132334269585 _[3] - _[39] 5 _[1] + 10.000132334269585 _[2] + 10 _[3] - _[38] -25 _[1] + 10.000132334269585 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.000132334269585 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.000132334269585 _[3] + 5 _[9] + 10 _[10] - _[44] 10.000132334269585 _[2] + 5 _[9] + 10 _[11] - _[43] 10.000132334269585 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.000132334269585 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.000132334269585 _[7] + _[49] 6 _[1] + 3 _[3] + 10.000132334269585 _[6] + _[48] -9 _[1] + 10.000132334269585 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.000132334269585 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.000132334269585 _[7] + 6 _[9] + 3 _[10] + _[54] 10.000132334269585 _[6] + 6 _[9] + 3 _[11] + _[53] 10.000132334269585 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.000132334269585 _[9] - _[57] … 10.000132334269585 _[11] + _[59] 10.000132334269585 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.000132334269585 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.000132334269585 _[9] - _[62] … 10.000132334269585 _[11] + _[64] 10.000132334269585 _[10] + _[63] 10.000132334269585 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.000132334269585 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.000132334269585 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.000132334269585 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.000132334269585 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.000132334269585 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.000132334269587 _[15] - 4 _[16] - _[74] -6 _[13] + 18.000132334269587 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.999867665730415 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.25310e-02 3.1622985839843754 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.999495406830688 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.999495406830688 _[3] - _[39] 5 _[1] + 9.999495406830688 _[2] + 10 _[3] - _[38] -25 _[1] + 9.999495406830688 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.999495406830688 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.999495406830688 _[3] + 5 _[9] + 10 _[10] - _[44] 9.999495406830688 _[2] + 5 _[9] + 10 _[11] - _[43] 9.999495406830688 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.999495406830688 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.999495406830688 _[7] + _[49] 6 _[1] + 3 _[3] + 9.999495406830688 _[6] + _[48] -9 _[1] + 9.999495406830688 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.999495406830688 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.999495406830688 _[7] + 6 _[9] + 3 _[10] + _[54] 9.999495406830688 _[6] + 6 _[9] + 3 _[11] + _[53] 9.999495406830688 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.999495406830688 _[9] - _[57] … 9.999495406830688 _[11] + _[59] 9.999495406830688 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.999495406830688 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.999495406830688 _[9] - _[62] … 9.999495406830688 _[11] + _[64] 9.999495406830688 _[10] + _[63] 9.999495406830688 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.999495406830688 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.999495406830688 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.999495406830688 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.999495406830688 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.999495406830688 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.99949540683069 _[15] - 4 _[16] - _[74] -6 _[13] + 17.99949540683069 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.000504593169312 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.999495406830688 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.999495406830688 _[3] - _[39] 5 _[1] + 9.999495406830688 _[2] + 10 _[3] - _[38] -25 _[1] + 9.999495406830688 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.999495406830688 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.999495406830688 _[3] + 5 _[9] + 10 _[10] - _[44] 9.999495406830688 _[2] + 5 _[9] + 10 _[11] - _[43] 9.999495406830688 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.999495406830688 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.999495406830688 _[7] + _[49] 6 _[1] + 3 _[3] + 9.999495406830688 _[6] + _[48] -9 _[1] + 9.999495406830688 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.999495406830688 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.999495406830688 _[7] + 6 _[9] + 3 _[10] + _[54] 9.999495406830688 _[6] + 6 _[9] + 3 _[11] + _[53] 9.999495406830688 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.999495406830688 _[9] - _[57] … 9.999495406830688 _[11] + _[59] 9.999495406830688 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.999495406830688 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.999495406830688 _[9] - _[62] … 9.999495406830688 _[11] + _[64] 9.999495406830688 _[10] + _[63] 9.999495406830688 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.999495406830688 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.999495406830688 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.999495406830688 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.999495406830688 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.999495406830688 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.99949540683069 _[15] - 4 _[16] - _[74] -6 _[13] + 17.99949540683069 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.000504593169312 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.57308e-02 3.162197875976563 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.999813868014611 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.999813868014611 _[3] - _[39] 5 _[1] + 9.999813868014611 _[2] + 10 _[3] - _[38] -25 _[1] + 9.999813868014611 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.999813868014611 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.999813868014611 _[3] + 5 _[9] + 10 _[10] - _[44] 9.999813868014611 _[2] + 5 _[9] + 10 _[11] - _[43] 9.999813868014611 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.999813868014611 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.999813868014611 _[7] + _[49] 6 _[1] + 3 _[3] + 9.999813868014611 _[6] + _[48] -9 _[1] + 9.999813868014611 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.999813868014611 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.999813868014611 _[7] + 6 _[9] + 3 _[10] + _[54] 9.999813868014611 _[6] + 6 _[9] + 3 _[11] + _[53] 9.999813868014611 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.999813868014611 _[9] - _[57] … 9.999813868014611 _[11] + _[59] 9.999813868014611 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.999813868014611 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.999813868014611 _[9] - _[62] … 9.999813868014611 _[11] + _[64] 9.999813868014611 _[10] + _[63] 9.999813868014611 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.999813868014611 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.999813868014611 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.999813868014611 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.999813868014611 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.999813868014611 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.999813868014613 _[15] - 4 _[16] - _[74] -6 _[13] + 17.999813868014613 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.000186131985389 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.999813868014611 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.999813868014611 _[3] - _[39] 5 _[1] + 9.999813868014611 _[2] + 10 _[3] - _[38] -25 _[1] + 9.999813868014611 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.999813868014611 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.999813868014611 _[3] + 5 _[9] + 10 _[10] - _[44] 9.999813868014611 _[2] + 5 _[9] + 10 _[11] - _[43] 9.999813868014611 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.999813868014611 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.999813868014611 _[7] + _[49] 6 _[1] + 3 _[3] + 9.999813868014611 _[6] + _[48] -9 _[1] + 9.999813868014611 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.999813868014611 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.999813868014611 _[7] + 6 _[9] + 3 _[10] + _[54] 9.999813868014611 _[6] + 6 _[9] + 3 _[11] + _[53] 9.999813868014611 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.999813868014611 _[9] - _[57] … 9.999813868014611 _[11] + _[59] 9.999813868014611 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.999813868014611 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.999813868014611 _[9] - _[62] … 9.999813868014611 _[11] + _[64] 9.999813868014611 _[10] + _[63] 9.999813868014611 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.999813868014611 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.999813868014611 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.999813868014611 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.999813868014611 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.999813868014611 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.999813868014613 _[15] - 4 _[16] - _[74] -6 _[13] + 17.999813868014613 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.000186131985389 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.61221e-02 3.1622482299804693 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.999973100508218 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.999973100508218 _[3] - _[39] 5 _[1] + 9.999973100508218 _[2] + 10 _[3] - _[38] -25 _[1] + 9.999973100508218 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.999973100508218 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.999973100508218 _[3] + 5 _[9] + 10 _[10] - _[44] 9.999973100508218 _[2] + 5 _[9] + 10 _[11] - _[43] 9.999973100508218 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.999973100508218 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.999973100508218 _[7] + _[49] 6 _[1] + 3 _[3] + 9.999973100508218 _[6] + _[48] -9 _[1] + 9.999973100508218 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.999973100508218 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.999973100508218 _[7] + 6 _[9] + 3 _[10] + _[54] 9.999973100508218 _[6] + 6 _[9] + 3 _[11] + _[53] 9.999973100508218 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.999973100508218 _[9] - _[57] … 9.999973100508218 _[11] + _[59] 9.999973100508218 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.999973100508218 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.999973100508218 _[9] - _[62] … 9.999973100508218 _[11] + _[64] 9.999973100508218 _[10] + _[63] 9.999973100508218 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.999973100508218 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.999973100508218 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.999973100508218 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.999973100508218 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.9999731005082175 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.999973100508218 _[15] - 4 _[16] - _[74] -6 _[13] + 17.999973100508218 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.0000268994917825 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [8.999973100508218 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 9.999973100508218 _[3] - _[39] 5 _[1] + 9.999973100508218 _[2] + 10 _[3] - _[38] -25 _[1] + 9.999973100508218 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [9.999973100508218 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 9.999973100508218 _[3] + 5 _[9] + 10 _[10] - _[44] 9.999973100508218 _[2] + 5 _[9] + 10 _[11] - _[43] 9.999973100508218 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 9.999973100508218 _[5] - _[47] … 6 _[1] + 3 _[2] + 9.999973100508218 _[7] + _[49] 6 _[1] + 3 _[3] + 9.999973100508218 _[6] + _[48] -9 _[1] + 9.999973100508218 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [9.999973100508218 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 9.999973100508218 _[7] + 6 _[9] + 3 _[10] + _[54] 9.999973100508218 _[6] + 6 _[9] + 3 _[11] + _[53] 9.999973100508218 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [9.999973100508218 _[9] - _[57] … 9.999973100508218 _[11] + _[59] 9.999973100508218 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 9.999973100508218 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [9.999973100508218 _[9] - _[62] … 9.999973100508218 _[11] + _[64] 9.999973100508218 _[10] + _[63] 9.999973100508218 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 9.999973100508218 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 9.999973100508218 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 9.999973100508218 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 9.999973100508218 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [5.9999731005082175 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 17.999973100508218 _[15] - 4 _[16] - _[74] -6 _[13] + 17.999973100508218 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 6.0000268994917825 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 3.61421e-02 3.1622734069824223 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.00005271723043 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.00005271723043 _[3] - _[39] 5 _[1] + 10.00005271723043 _[2] + 10 _[3] - _[38] -25 _[1] + 10.00005271723043 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.00005271723043 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.00005271723043 _[3] + 5 _[9] + 10 _[10] - _[44] 10.00005271723043 _[2] + 5 _[9] + 10 _[11] - _[43] 10.00005271723043 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.00005271723043 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.00005271723043 _[7] + _[49] 6 _[1] + 3 _[3] + 10.00005271723043 _[6] + _[48] -9 _[1] + 10.00005271723043 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.00005271723043 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.00005271723043 _[7] + 6 _[9] + 3 _[10] + _[54] 10.00005271723043 _[6] + 6 _[9] + 3 _[11] + _[53] 10.00005271723043 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.00005271723043 _[9] - _[57] … 10.00005271723043 _[11] + _[59] 10.00005271723043 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.00005271723043 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.00005271723043 _[9] - _[62] … 10.00005271723043 _[11] + _[64] 10.00005271723043 _[10] + _[63] 10.00005271723043 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.00005271723043 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.00005271723043 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.00005271723043 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.00005271723043 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.00005271723043 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.00005271723043 _[15] - 4 _[16] - _[74] -6 _[13] + 18.00005271723043 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.99994728276957 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.00005271723043 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.00005271723043 _[3] - _[39] 5 _[1] + 10.00005271723043 _[2] + 10 _[3] - _[38] -25 _[1] + 10.00005271723043 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.00005271723043 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.00005271723043 _[3] + 5 _[9] + 10 _[10] - _[44] 10.00005271723043 _[2] + 5 _[9] + 10 _[11] - _[43] 10.00005271723043 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.00005271723043 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.00005271723043 _[7] + _[49] 6 _[1] + 3 _[3] + 10.00005271723043 _[6] + _[48] -9 _[1] + 10.00005271723043 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.00005271723043 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.00005271723043 _[7] + 6 _[9] + 3 _[10] + _[54] 10.00005271723043 _[6] + 6 _[9] + 3 _[11] + _[53] 10.00005271723043 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.00005271723043 _[9] - _[57] … 10.00005271723043 _[11] + _[59] 10.00005271723043 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.00005271723043 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.00005271723043 _[9] - _[62] … 10.00005271723043 _[11] + _[64] 10.00005271723043 _[10] + _[63] 10.00005271723043 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.00005271723043 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.00005271723043 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.00005271723043 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.00005271723043 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.00005271723043 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.00005271723043 _[15] - 4 _[16] - _[74] -6 _[13] + 18.00005271723043 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.99994728276957 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.24362e-02 3.1622859954833986 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.000012908829707 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.000012908829707 _[3] - _[39] 5 _[1] + 10.000012908829707 _[2] + 10 _[3] - _[38] -25 _[1] + 10.000012908829707 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.000012908829707 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.000012908829707 _[3] + 5 _[9] + 10 _[10] - _[44] 10.000012908829707 _[2] + 5 _[9] + 10 _[11] - _[43] 10.000012908829707 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.000012908829707 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.000012908829707 _[7] + _[49] 6 _[1] + 3 _[3] + 10.000012908829707 _[6] + _[48] -9 _[1] + 10.000012908829707 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.000012908829707 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.000012908829707 _[7] + 6 _[9] + 3 _[10] + _[54] 10.000012908829707 _[6] + 6 _[9] + 3 _[11] + _[53] 10.000012908829707 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.000012908829707 _[9] - _[57] … 10.000012908829707 _[11] + _[59] 10.000012908829707 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.000012908829707 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.000012908829707 _[9] - _[62] … 10.000012908829707 _[11] + _[64] 10.000012908829707 _[10] + _[63] 10.000012908829707 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.000012908829707 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.000012908829707 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.000012908829707 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.000012908829707 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.0000129088297065 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.000012908829707 _[15] - 4 _[16] - _[74] -6 _[13] + 18.000012908829707 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.9999870911702935 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 Feasibility Subject to [_[1] - _[17] - 1 _[3] - _[19] _[2] - _[18] _[4] - _[20] - 1] ∈ PSDCone() [_[33] - 1] ∈ PSDCone() [9.000012908829707 _[1] - 2 _[2] - 2 _[3] - 4 _[4] - _[37] … 5 _[1] + 10 _[2] + 10.000012908829707 _[3] - _[39] 5 _[1] + 10.000012908829707 _[2] + 10 _[3] - _[38] -25 _[1] + 10.000012908829707 _[4] - _[40]] ∈ PSDCone() [_[41] - 1] ∈ PSDCone() [10.000012908829707 _[1] - _[9] - 2 _[10] - 2 _[11] - 4 _[12] - _[42] … 10.000012908829707 _[3] + 5 _[9] + 10 _[10] - _[44] 10.000012908829707 _[2] + 5 _[9] + 10 _[11] - _[43] 10.000012908829707 _[4] - 25 _[9] - _[45]] ∈ PSDCone() [_[46] - 1] ∈ PSDCone() [_[5] - _[21] - 1 _[7] + _[23] _[6] + _[22] _[8] - _[24] - 1] ∈ PSDCone() [_[34] - 1] ∈ PSDCone() [-4 _[1] - 2 _[2] - 2 _[3] - _[4] + 10.000012908829707 _[5] - _[47] … 6 _[1] + 3 _[2] + 10.000012908829707 _[7] + _[49] 6 _[1] + 3 _[3] + 10.000012908829707 _[6] + _[48] -9 _[1] + 10.000012908829707 _[8] - _[50]] ∈ PSDCone() [_[51] - 1] ∈ PSDCone() [10.000012908829707 _[5] - 4 _[9] - 2 _[10] - 2 _[11] - _[12] - _[52] … 10.000012908829707 _[7] + 6 _[9] + 3 _[10] + _[54] 10.000012908829707 _[6] + 6 _[9] + 3 _[11] + _[53] 10.000012908829707 _[8] - 9 _[9] - _[55]] ∈ PSDCone() [_[56] - 1] ∈ PSDCone() [_[9] - _[25] - 1 _[11] + _[27] _[10] + _[26] _[12] - _[28] - 1] ∈ PSDCone() [_[35] - 1] ∈ PSDCone() [10.000012908829707 _[9] - _[57] … 10.000012908829707 _[11] + _[59] 10.000012908829707 _[10] + _[58] -_[5] + _[6] + _[7] - _[8] + 10.000012908829707 _[12] - _[60]] ∈ PSDCone() [_[61] - 1] ∈ PSDCone() [10.000012908829707 _[9] - _[62] … 10.000012908829707 _[11] + _[64] 10.000012908829707 _[10] + _[63] 10.000012908829707 _[12] - _[13] + _[14] + _[15] - _[16] - _[65]] ∈ PSDCone() [_[66] - 1] ∈ PSDCone() [_[13] - _[29] - 1 _[15] - _[31] _[14] - _[30] _[16] - _[32] - 1] ∈ PSDCone() [_[36] - 1] ∈ PSDCone() [-4 _[5] + 2 _[6] + 2 _[7] - _[8] + 10.000012908829707 _[13] - _[67] … -6 _[5] + 3 _[6] + 8 _[7] - 4 _[8] + 10.000012908829707 _[15] - _[69] -6 _[5] + 8 _[6] + 3 _[7] - 4 _[8] + 10.000012908829707 _[14] - _[68] -9 _[5] + 12 _[6] + 12 _[7] - 16 _[8] + 10.000012908829707 _[16] - _[70]] ∈ PSDCone() [_[71] - 1] ∈ PSDCone() [6.0000129088297065 _[13] + 2 _[14] + 2 _[15] - _[16] - _[72] … -6 _[13] + 3 _[14] + 18.000012908829707 _[15] - 4 _[16] - _[74] -6 _[13] + 18.000012908829707 _[14] + 3 _[15] - 4 _[16] - _[73] -9 _[13] + 12 _[14] + 12 _[15] - 5.9999870911702935 _[16] - _[75]] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() _[17] ≥ 0 _[18] ≥ 0 _[19] ≥ 0 _[20] ≥ 0 _[21] ≥ 0 _[22] ≥ 0 _[23] ≥ 0 _[24] ≥ 0 _[25] ≥ 0 _[26] ≥ 0 _[27] ≥ 0 _[28] ≥ 0 _[29] ≥ 0 _[30] ≥ 0 _[31] ≥ 0 _[32] ≥ 0 _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[72] ≥ 0 _[73] ≥ 0 _[74] ≥ 0 _[75] ≥ 0 JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.24309e-02 3.1622797012329107 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (0.4641000000000004 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 44.4969569478633 _[2] + 40 _[3] + 44.4969569478633 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 98.5359 _[3] - 212.13203435596427 _[4] - 197.07180000000002 _[5] - 98.5359 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 2.070550076670449 _[6] + 2.070550076670449 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 1.4641000000000004 _[9] - _[85])x₂⁴ is SOS (1.4641000000000004 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (2.070550076670449 _[2] + 2.070550076670449 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (1.4641000000000004 _[3] + 2.928200000000001 _[5] + 1.4641000000000004 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (2.070550076670449 _[6] + 2.070550076670449 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (1.4641000000000004 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 1.4641000000000004 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 2.070550076670449 _[11] + 2.070550076670449 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 1.4641000000000004 _[12] + 2.928200000000001 _[14] + 1.4641000000000004 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 2.070550076670449 _[15] + 2.070550076670449 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 1.4641000000000004 _[18] - _[105])x₂⁴ is SOS (1.4641000000000004 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (2.070550076670449 _[11] + 2.070550076670449 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (1.4641000000000004 _[12] + 2.928200000000001 _[14] + 1.4641000000000004 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (2.070550076670449 _[15] + 2.070550076670449 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (1.4641000000000004 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (1.4641000000000004 _[19] - _[117])x₁⁴ + (2.070550076670449 _[20] + 2.070550076670449 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (1.4641000000000004 _[21] + 2.928200000000001 _[23] + 1.4641000000000004 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (2.070550076670449 _[24] + 2.070550076670449 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 1.4641000000000004 _[27] - _[125])x₂⁴ is SOS (1.4641000000000004 _[19] - _[127])x₁⁴ + (2.070550076670449 _[20] + 2.070550076670449 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (1.4641000000000004 _[21] + 2.928200000000001 _[23] + 1.4641000000000004 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (2.070550076670449 _[24] + 2.070550076670449 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (1.4641000000000004 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 1.4641000000000004 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 2.070550076670449 _[29] + 2.070550076670449 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 1.4641000000000004 _[30] + 2.928200000000001 _[32] + 1.4641000000000004 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 2.070550076670449 _[33] + 2.070550076670449 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 1.4641000000000004 _[36] - _[145])x₂⁴ is SOS (-14.5359 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 98.23707231804092 _[29] - 44 _[30] + 98.23707231804092 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 167.5359 _[30] + 280.0142853498728 _[31] - 335.07180000000005 _[32] + 186.67619023324855 _[33] - 167.5359 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 386.7366390421523 _[33] - 264 _[34] + 386.7366390421523 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 254.5359 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (0.4641000000000004 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 44.4969569478633 _[2] + 40 _[3] + 44.4969569478633 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 98.5359 _[3] - 212.13203435596427 _[4] - 197.07180000000002 _[5] - 98.5359 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 2.070550076670449 _[6] + 2.070550076670449 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 1.4641000000000004 _[9] - _[85])x₂⁴ is SOS (1.4641000000000004 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (2.070550076670449 _[2] + 2.070550076670449 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (1.4641000000000004 _[3] + 2.928200000000001 _[5] + 1.4641000000000004 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (2.070550076670449 _[6] + 2.070550076670449 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (1.4641000000000004 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 1.4641000000000004 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 2.070550076670449 _[11] + 2.070550076670449 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 1.4641000000000004 _[12] + 2.928200000000001 _[14] + 1.4641000000000004 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 2.070550076670449 _[15] + 2.070550076670449 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 1.4641000000000004 _[18] - _[105])x₂⁴ is SOS (1.4641000000000004 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (2.070550076670449 _[11] + 2.070550076670449 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (1.4641000000000004 _[12] + 2.928200000000001 _[14] + 1.4641000000000004 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (2.070550076670449 _[15] + 2.070550076670449 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (1.4641000000000004 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (1.4641000000000004 _[19] - _[117])x₁⁴ + (2.070550076670449 _[20] + 2.070550076670449 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (1.4641000000000004 _[21] + 2.928200000000001 _[23] + 1.4641000000000004 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (2.070550076670449 _[24] + 2.070550076670449 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 1.4641000000000004 _[27] - _[125])x₂⁴ is SOS (1.4641000000000004 _[19] - _[127])x₁⁴ + (2.070550076670449 _[20] + 2.070550076670449 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (1.4641000000000004 _[21] + 2.928200000000001 _[23] + 1.4641000000000004 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (2.070550076670449 _[24] + 2.070550076670449 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (1.4641000000000004 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 1.4641000000000004 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 2.070550076670449 _[29] + 2.070550076670449 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 1.4641000000000004 _[30] + 2.928200000000001 _[32] + 1.4641000000000004 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 2.070550076670449 _[33] + 2.070550076670449 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 1.4641000000000004 _[36] - _[145])x₂⁴ is SOS (-14.5359 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 98.23707231804092 _[29] - 44 _[30] + 98.23707231804092 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 167.5359 _[30] + 280.0142853498728 _[31] - 335.07180000000005 _[32] + 186.67619023324855 _[33] - 167.5359 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 386.7366390421523 _[33] - 264 _[34] + 386.7366390421523 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 254.5359 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 5.41999e-02 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (22.425600000000006 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 75.55520809792003 _[2] + 40 _[3] + 75.55520809792003 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 76.5744 _[3] - 212.13203435596427 _[4] - 153.14880000000002 _[5] - 76.5744 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 33.128801226727184 _[6] + 33.128801226727184 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 23.425600000000006 _[9] - _[85])x₂⁴ is SOS (23.425600000000006 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (33.128801226727184 _[2] + 33.128801226727184 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (23.425600000000006 _[3] + 46.85120000000001 _[5] + 23.425600000000006 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (33.128801226727184 _[6] + 33.128801226727184 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (23.425600000000006 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 23.425600000000006 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 33.128801226727184 _[11] + 33.128801226727184 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 23.425600000000006 _[12] + 46.85120000000001 _[14] + 23.425600000000006 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 33.128801226727184 _[15] + 33.128801226727184 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 23.425600000000006 _[18] - _[105])x₂⁴ is SOS (23.425600000000006 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (33.128801226727184 _[11] + 33.128801226727184 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (23.425600000000006 _[12] + 46.85120000000001 _[14] + 23.425600000000006 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (33.128801226727184 _[15] + 33.128801226727184 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (23.425600000000006 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (23.425600000000006 _[19] - _[117])x₁⁴ + (33.128801226727184 _[20] + 33.128801226727184 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (23.425600000000006 _[21] + 46.85120000000001 _[23] + 23.425600000000006 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (33.128801226727184 _[24] + 33.128801226727184 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 23.425600000000006 _[27] - _[125])x₂⁴ is SOS (23.425600000000006 _[19] - _[127])x₁⁴ + (33.128801226727184 _[20] + 33.128801226727184 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (23.425600000000006 _[21] + 46.85120000000001 _[23] + 23.425600000000006 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (33.128801226727184 _[24] + 33.128801226727184 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (23.425600000000006 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 23.425600000000006 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 33.128801226727184 _[29] + 33.128801226727184 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 23.425600000000006 _[30] + 46.85120000000001 _[32] + 23.425600000000006 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 33.128801226727184 _[33] + 33.128801226727184 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 23.425600000000006 _[36] - _[145])x₂⁴ is SOS (7.425600000000006 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 129.29532346809765 _[29] - 44 _[30] + 129.29532346809765 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 145.5744 _[30] + 280.0142853498728 _[31] - 291.14880000000005 _[32] + 186.67619023324855 _[33] - 145.5744 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 417.7948901922091 _[33] - 264 _[34] + 417.7948901922091 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 232.5744 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (22.425600000000006 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 75.55520809792003 _[2] + 40 _[3] + 75.55520809792003 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 76.5744 _[3] - 212.13203435596427 _[4] - 153.14880000000002 _[5] - 76.5744 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 33.128801226727184 _[6] + 33.128801226727184 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 23.425600000000006 _[9] - _[85])x₂⁴ is SOS (23.425600000000006 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (33.128801226727184 _[2] + 33.128801226727184 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (23.425600000000006 _[3] + 46.85120000000001 _[5] + 23.425600000000006 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (33.128801226727184 _[6] + 33.128801226727184 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (23.425600000000006 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 23.425600000000006 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 33.128801226727184 _[11] + 33.128801226727184 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 23.425600000000006 _[12] + 46.85120000000001 _[14] + 23.425600000000006 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 33.128801226727184 _[15] + 33.128801226727184 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 23.425600000000006 _[18] - _[105])x₂⁴ is SOS (23.425600000000006 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (33.128801226727184 _[11] + 33.128801226727184 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (23.425600000000006 _[12] + 46.85120000000001 _[14] + 23.425600000000006 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (33.128801226727184 _[15] + 33.128801226727184 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (23.425600000000006 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (23.425600000000006 _[19] - _[117])x₁⁴ + (33.128801226727184 _[20] + 33.128801226727184 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (23.425600000000006 _[21] + 46.85120000000001 _[23] + 23.425600000000006 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (33.128801226727184 _[24] + 33.128801226727184 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 23.425600000000006 _[27] - _[125])x₂⁴ is SOS (23.425600000000006 _[19] - _[127])x₁⁴ + (33.128801226727184 _[20] + 33.128801226727184 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (23.425600000000006 _[21] + 46.85120000000001 _[23] + 23.425600000000006 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (33.128801226727184 _[24] + 33.128801226727184 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (23.425600000000006 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 23.425600000000006 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 33.128801226727184 _[29] + 33.128801226727184 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 23.425600000000006 _[30] + 46.85120000000001 _[32] + 23.425600000000006 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 33.128801226727184 _[33] + 33.128801226727184 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 23.425600000000006 _[36] - _[145])x₂⁴ is SOS (7.425600000000006 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 129.29532346809765 _[29] - 44 _[30] + 129.29532346809765 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 145.5744 _[30] + 280.0142853498728 _[31] - 291.14880000000005 _[32] + 186.67619023324855 _[33] - 145.5744 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 417.7948901922091 _[33] - 264 _[34] + 417.7948901922091 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 232.5744 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 5.23169e-02 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (373.8096000000001 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 572.4872264988278 _[2] + 40 _[3] + 572.4872264988278 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 274.8096000000001 _[3] - 212.13203435596427 _[4] + 549.6192000000002 _[5] + 274.8096000000001 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 530.0608196276349 _[6] + 530.0608196276349 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 374.8096000000001 _[9] - _[85])x₂⁴ is SOS (374.8096000000001 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (530.0608196276349 _[2] + 530.0608196276349 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (374.8096000000001 _[3] + 749.6192000000002 _[5] + 374.8096000000001 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (530.0608196276349 _[6] + 530.0608196276349 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (374.8096000000001 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 374.8096000000001 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 530.0608196276349 _[11] + 530.0608196276349 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 374.8096000000001 _[12] + 749.6192000000002 _[14] + 374.8096000000001 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 530.0608196276349 _[15] + 530.0608196276349 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 374.8096000000001 _[18] - _[105])x₂⁴ is SOS (374.8096000000001 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (530.0608196276349 _[11] + 530.0608196276349 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (374.8096000000001 _[12] + 749.6192000000002 _[14] + 374.8096000000001 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (530.0608196276349 _[15] + 530.0608196276349 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (374.8096000000001 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (374.8096000000001 _[19] - _[117])x₁⁴ + (530.0608196276349 _[20] + 530.0608196276349 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (374.8096000000001 _[21] + 749.6192000000002 _[23] + 374.8096000000001 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (530.0608196276349 _[24] + 530.0608196276349 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 374.8096000000001 _[27] - _[125])x₂⁴ is SOS (374.8096000000001 _[19] - _[127])x₁⁴ + (530.0608196276349 _[20] + 530.0608196276349 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (374.8096000000001 _[21] + 749.6192000000002 _[23] + 374.8096000000001 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (530.0608196276349 _[24] + 530.0608196276349 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (374.8096000000001 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 374.8096000000001 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 530.0608196276349 _[29] + 530.0608196276349 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 374.8096000000001 _[30] + 749.6192000000002 _[32] + 374.8096000000001 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 530.0608196276349 _[33] + 530.0608196276349 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 374.8096000000001 _[36] - _[145])x₂⁴ is SOS (358.8096000000001 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 626.2273418690054 _[29] - 44 _[30] + 626.2273418690054 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] + 205.8096000000001 _[30] + 280.0142853498728 _[31] + 411.61920000000015 _[32] + 186.67619023324855 _[33] + 205.8096000000001 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 914.7269085931168 _[33] - 264 _[34] + 914.7269085931168 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] + 118.8096000000001 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (373.8096000000001 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 572.4872264988278 _[2] + 40 _[3] + 572.4872264988278 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 274.8096000000001 _[3] - 212.13203435596427 _[4] + 549.6192000000002 _[5] + 274.8096000000001 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 530.0608196276349 _[6] + 530.0608196276349 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 374.8096000000001 _[9] - _[85])x₂⁴ is SOS (374.8096000000001 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (530.0608196276349 _[2] + 530.0608196276349 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (374.8096000000001 _[3] + 749.6192000000002 _[5] + 374.8096000000001 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (530.0608196276349 _[6] + 530.0608196276349 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (374.8096000000001 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 374.8096000000001 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 530.0608196276349 _[11] + 530.0608196276349 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 374.8096000000001 _[12] + 749.6192000000002 _[14] + 374.8096000000001 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 530.0608196276349 _[15] + 530.0608196276349 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 374.8096000000001 _[18] - _[105])x₂⁴ is SOS (374.8096000000001 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (530.0608196276349 _[11] + 530.0608196276349 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (374.8096000000001 _[12] + 749.6192000000002 _[14] + 374.8096000000001 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (530.0608196276349 _[15] + 530.0608196276349 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (374.8096000000001 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (374.8096000000001 _[19] - _[117])x₁⁴ + (530.0608196276349 _[20] + 530.0608196276349 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (374.8096000000001 _[21] + 749.6192000000002 _[23] + 374.8096000000001 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (530.0608196276349 _[24] + 530.0608196276349 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 374.8096000000001 _[27] - _[125])x₂⁴ is SOS (374.8096000000001 _[19] - _[127])x₁⁴ + (530.0608196276349 _[20] + 530.0608196276349 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (374.8096000000001 _[21] + 749.6192000000002 _[23] + 374.8096000000001 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (530.0608196276349 _[24] + 530.0608196276349 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (374.8096000000001 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 374.8096000000001 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 530.0608196276349 _[29] + 530.0608196276349 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 374.8096000000001 _[30] + 749.6192000000002 _[32] + 374.8096000000001 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 530.0608196276349 _[33] + 530.0608196276349 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 374.8096000000001 _[36] - _[145])x₂⁴ is SOS (358.8096000000001 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 626.2273418690054 _[29] - 44 _[30] + 626.2273418690054 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] + 205.8096000000001 _[30] + 280.0142853498728 _[31] + 411.61920000000015 _[32] + 186.67619023324855 _[33] + 205.8096000000001 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 914.7269085931168 _[33] - 264 _[34] + 914.7269085931168 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] + 118.8096000000001 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.41809e-02 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (117.59210000000004 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 210.14096308149925 _[2] + 40 _[3] + 210.14096308149925 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 18.592100000000045 _[3] - 212.13203435596427 _[4] + 37.18420000000009 _[5] + 18.592100000000045 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 167.7145562103064 _[6] + 167.7145562103064 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 118.59210000000004 _[9] - _[85])x₂⁴ is SOS (118.59210000000004 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (167.7145562103064 _[2] + 167.7145562103064 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (118.59210000000004 _[3] + 237.18420000000012 _[5] + 118.59210000000004 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (167.7145562103064 _[6] + 167.7145562103064 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (118.59210000000004 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 118.59210000000004 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 167.7145562103064 _[11] + 167.7145562103064 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 118.59210000000004 _[12] + 237.18420000000012 _[14] + 118.59210000000004 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 167.7145562103064 _[15] + 167.7145562103064 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 118.59210000000004 _[18] - _[105])x₂⁴ is SOS (118.59210000000004 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (167.7145562103064 _[11] + 167.7145562103064 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (118.59210000000004 _[12] + 237.18420000000012 _[14] + 118.59210000000004 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (167.7145562103064 _[15] + 167.7145562103064 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (118.59210000000004 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (118.59210000000004 _[19] - _[117])x₁⁴ + (167.7145562103064 _[20] + 167.7145562103064 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (118.59210000000004 _[21] + 237.18420000000012 _[23] + 118.59210000000004 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (167.7145562103064 _[24] + 167.7145562103064 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 118.59210000000004 _[27] - _[125])x₂⁴ is SOS (118.59210000000004 _[19] - _[127])x₁⁴ + (167.7145562103064 _[20] + 167.7145562103064 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (118.59210000000004 _[21] + 237.18420000000012 _[23] + 118.59210000000004 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (167.7145562103064 _[24] + 167.7145562103064 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (118.59210000000004 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 118.59210000000004 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 167.7145562103064 _[29] + 167.7145562103064 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 118.59210000000004 _[30] + 237.18420000000012 _[32] + 118.59210000000004 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 167.7145562103064 _[33] + 167.7145562103064 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 118.59210000000004 _[36] - _[145])x₂⁴ is SOS (102.59210000000004 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 263.8810784516769 _[29] - 44 _[30] + 263.8810784516769 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 50.407899999999955 _[30] + 280.0142853498728 _[31] - 100.81579999999994 _[32] + 186.67619023324855 _[33] - 50.407899999999955 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 552.3806451757882 _[33] - 264 _[34] + 552.3806451757882 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 137.40789999999996 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (117.59210000000004 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 210.14096308149925 _[2] + 40 _[3] + 210.14096308149925 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 18.592100000000045 _[3] - 212.13203435596427 _[4] + 37.18420000000009 _[5] + 18.592100000000045 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 167.7145562103064 _[6] + 167.7145562103064 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 118.59210000000004 _[9] - _[85])x₂⁴ is SOS (118.59210000000004 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (167.7145562103064 _[2] + 167.7145562103064 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (118.59210000000004 _[3] + 237.18420000000012 _[5] + 118.59210000000004 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (167.7145562103064 _[6] + 167.7145562103064 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (118.59210000000004 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 118.59210000000004 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 167.7145562103064 _[11] + 167.7145562103064 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 118.59210000000004 _[12] + 237.18420000000012 _[14] + 118.59210000000004 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 167.7145562103064 _[15] + 167.7145562103064 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 118.59210000000004 _[18] - _[105])x₂⁴ is SOS (118.59210000000004 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (167.7145562103064 _[11] + 167.7145562103064 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (118.59210000000004 _[12] + 237.18420000000012 _[14] + 118.59210000000004 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (167.7145562103064 _[15] + 167.7145562103064 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (118.59210000000004 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (118.59210000000004 _[19] - _[117])x₁⁴ + (167.7145562103064 _[20] + 167.7145562103064 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (118.59210000000004 _[21] + 237.18420000000012 _[23] + 118.59210000000004 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (167.7145562103064 _[24] + 167.7145562103064 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 118.59210000000004 _[27] - _[125])x₂⁴ is SOS (118.59210000000004 _[19] - _[127])x₁⁴ + (167.7145562103064 _[20] + 167.7145562103064 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (118.59210000000004 _[21] + 237.18420000000012 _[23] + 118.59210000000004 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (167.7145562103064 _[24] + 167.7145562103064 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (118.59210000000004 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 118.59210000000004 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 167.7145562103064 _[29] + 167.7145562103064 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 118.59210000000004 _[30] + 237.18420000000012 _[32] + 118.59210000000004 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 167.7145562103064 _[33] + 167.7145562103064 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 118.59210000000004 _[36] - _[145])x₂⁴ is SOS (102.59210000000004 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 263.8810784516769 _[29] - 44 _[30] + 263.8810784516769 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 50.407899999999955 _[30] + 280.0142853498728 _[31] - 100.81579999999994 _[32] + 186.67619023324855 _[33] - 50.407899999999955 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 552.3806451757882 _[33] - 264 _[34] + 552.3806451757882 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 137.40789999999996 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.56538e-02 3.3000000000000003 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (56.19140625 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 123.30726924113225 _[2] + 40 _[3] + 123.30726924113225 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 42.80859375 _[3] - 212.13203435596427 _[4] - 85.61718750000001 _[5] - 42.80859375 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 80.8808623699394 _[6] + 80.8808623699394 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 57.19140625 _[9] - _[85])x₂⁴ is SOS (57.19140625 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (80.8808623699394 _[2] + 80.8808623699394 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (57.19140625 _[3] + 114.38281250000001 _[5] + 57.19140625 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (80.8808623699394 _[6] + 80.8808623699394 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (57.19140625 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 57.19140625 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 80.8808623699394 _[11] + 80.8808623699394 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 57.19140625 _[12] + 114.38281250000001 _[14] + 57.19140625 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 80.8808623699394 _[15] + 80.8808623699394 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 57.19140625 _[18] - _[105])x₂⁴ is SOS (57.19140625 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (80.8808623699394 _[11] + 80.8808623699394 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (57.19140625 _[12] + 114.38281250000001 _[14] + 57.19140625 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (80.8808623699394 _[15] + 80.8808623699394 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (57.19140625 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (57.19140625 _[19] - _[117])x₁⁴ + (80.8808623699394 _[20] + 80.8808623699394 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (57.19140625 _[21] + 114.38281250000001 _[23] + 57.19140625 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (80.8808623699394 _[24] + 80.8808623699394 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 57.19140625 _[27] - _[125])x₂⁴ is SOS (57.19140625 _[19] - _[127])x₁⁴ + (80.8808623699394 _[20] + 80.8808623699394 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (57.19140625 _[21] + 114.38281250000001 _[23] + 57.19140625 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (80.8808623699394 _[24] + 80.8808623699394 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (57.19140625 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 57.19140625 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 80.8808623699394 _[29] + 80.8808623699394 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 57.19140625 _[30] + 114.38281250000001 _[32] + 57.19140625 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 80.8808623699394 _[33] + 80.8808623699394 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 57.19140625 _[36] - _[145])x₂⁴ is SOS (41.19140625 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 177.04738461130987 _[29] - 44 _[30] + 177.04738461130987 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 111.80859375 _[30] + 280.0142853498728 _[31] - 223.61718750000006 _[32] + 186.67619023324855 _[33] - 111.80859375 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 465.5469513354213 _[33] - 264 _[34] + 465.5469513354213 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 198.80859375 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (56.19140625 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 123.30726924113225 _[2] + 40 _[3] + 123.30726924113225 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 42.80859375 _[3] - 212.13203435596427 _[4] - 85.61718750000001 _[5] - 42.80859375 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 80.8808623699394 _[6] + 80.8808623699394 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 57.19140625 _[9] - _[85])x₂⁴ is SOS (57.19140625 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (80.8808623699394 _[2] + 80.8808623699394 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (57.19140625 _[3] + 114.38281250000001 _[5] + 57.19140625 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (80.8808623699394 _[6] + 80.8808623699394 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (57.19140625 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 57.19140625 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 80.8808623699394 _[11] + 80.8808623699394 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 57.19140625 _[12] + 114.38281250000001 _[14] + 57.19140625 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 80.8808623699394 _[15] + 80.8808623699394 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 57.19140625 _[18] - _[105])x₂⁴ is SOS (57.19140625 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (80.8808623699394 _[11] + 80.8808623699394 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (57.19140625 _[12] + 114.38281250000001 _[14] + 57.19140625 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (80.8808623699394 _[15] + 80.8808623699394 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (57.19140625 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (57.19140625 _[19] - _[117])x₁⁴ + (80.8808623699394 _[20] + 80.8808623699394 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (57.19140625 _[21] + 114.38281250000001 _[23] + 57.19140625 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (80.8808623699394 _[24] + 80.8808623699394 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 57.19140625 _[27] - _[125])x₂⁴ is SOS (57.19140625 _[19] - _[127])x₁⁴ + (80.8808623699394 _[20] + 80.8808623699394 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (57.19140625 _[21] + 114.38281250000001 _[23] + 57.19140625 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (80.8808623699394 _[24] + 80.8808623699394 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (57.19140625 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 57.19140625 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 80.8808623699394 _[29] + 80.8808623699394 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 57.19140625 _[30] + 114.38281250000001 _[32] + 57.19140625 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 80.8808623699394 _[33] + 80.8808623699394 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 57.19140625 _[36] - _[145])x₂⁴ is SOS (41.19140625 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 177.04738461130987 _[29] - 44 _[30] + 177.04738461130987 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 111.80859375 _[30] + 280.0142853498728 _[31] - 223.61718750000006 _[32] + 186.67619023324855 _[33] - 111.80859375 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 465.5469513354213 _[33] - 264 _[34] + 465.5469513354213 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 198.80859375 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 5.02930e-02 2.75 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (82.73393789062504 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 160.84407746702118 _[2] + 40 _[3] + 160.84407746702118 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 16.266062109374957 _[3] - 212.13203435596427 _[4] - 32.532124218749914 _[5] - 16.266062109374957 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 118.41767059582834 _[6] + 118.41767059582834 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 83.73393789062504 _[9] - _[85])x₂⁴ is SOS (83.73393789062504 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (118.41767059582834 _[2] + 118.41767059582834 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (83.73393789062504 _[3] + 167.46787578125011 _[5] + 83.73393789062504 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (118.41767059582834 _[6] + 118.41767059582834 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (83.73393789062504 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 83.73393789062504 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 118.41767059582834 _[11] + 118.41767059582834 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 83.73393789062504 _[12] + 167.46787578125011 _[14] + 83.73393789062504 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 118.41767059582834 _[15] + 118.41767059582834 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 83.73393789062504 _[18] - _[105])x₂⁴ is SOS (83.73393789062504 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (118.41767059582834 _[11] + 118.41767059582834 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (83.73393789062504 _[12] + 167.46787578125011 _[14] + 83.73393789062504 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (118.41767059582834 _[15] + 118.41767059582834 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (83.73393789062504 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (83.73393789062504 _[19] - _[117])x₁⁴ + (118.41767059582834 _[20] + 118.41767059582834 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (83.73393789062504 _[21] + 167.46787578125011 _[23] + 83.73393789062504 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (118.41767059582834 _[24] + 118.41767059582834 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 83.73393789062504 _[27] - _[125])x₂⁴ is SOS (83.73393789062504 _[19] - _[127])x₁⁴ + (118.41767059582834 _[20] + 118.41767059582834 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (83.73393789062504 _[21] + 167.46787578125011 _[23] + 83.73393789062504 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (118.41767059582834 _[24] + 118.41767059582834 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (83.73393789062504 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 83.73393789062504 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 118.41767059582834 _[29] + 118.41767059582834 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 83.73393789062504 _[30] + 167.46787578125011 _[32] + 83.73393789062504 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 118.41767059582834 _[33] + 118.41767059582834 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 83.73393789062504 _[36] - _[145])x₂⁴ is SOS (67.73393789062504 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 214.58419283719883 _[29] - 44 _[30] + 214.58419283719883 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 85.26606210937496 _[30] + 280.0142853498728 _[31] - 170.53212421874994 _[32] + 186.67619023324855 _[33] - 85.26606210937496 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 503.0837595613102 _[33] - 264 _[34] + 503.0837595613102 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 172.26606210937496 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (82.73393789062504 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 160.84407746702118 _[2] + 40 _[3] + 160.84407746702118 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 16.266062109374957 _[3] - 212.13203435596427 _[4] - 32.532124218749914 _[5] - 16.266062109374957 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 118.41767059582834 _[6] + 118.41767059582834 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 83.73393789062504 _[9] - _[85])x₂⁴ is SOS (83.73393789062504 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (118.41767059582834 _[2] + 118.41767059582834 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (83.73393789062504 _[3] + 167.46787578125011 _[5] + 83.73393789062504 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (118.41767059582834 _[6] + 118.41767059582834 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (83.73393789062504 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 83.73393789062504 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 118.41767059582834 _[11] + 118.41767059582834 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 83.73393789062504 _[12] + 167.46787578125011 _[14] + 83.73393789062504 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 118.41767059582834 _[15] + 118.41767059582834 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 83.73393789062504 _[18] - _[105])x₂⁴ is SOS (83.73393789062504 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (118.41767059582834 _[11] + 118.41767059582834 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (83.73393789062504 _[12] + 167.46787578125011 _[14] + 83.73393789062504 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (118.41767059582834 _[15] + 118.41767059582834 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (83.73393789062504 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (83.73393789062504 _[19] - _[117])x₁⁴ + (118.41767059582834 _[20] + 118.41767059582834 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (83.73393789062504 _[21] + 167.46787578125011 _[23] + 83.73393789062504 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (118.41767059582834 _[24] + 118.41767059582834 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 83.73393789062504 _[27] - _[125])x₂⁴ is SOS (83.73393789062504 _[19] - _[127])x₁⁴ + (118.41767059582834 _[20] + 118.41767059582834 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (83.73393789062504 _[21] + 167.46787578125011 _[23] + 83.73393789062504 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (118.41767059582834 _[24] + 118.41767059582834 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (83.73393789062504 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 83.73393789062504 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 118.41767059582834 _[29] + 118.41767059582834 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 83.73393789062504 _[30] + 167.46787578125011 _[32] + 83.73393789062504 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 118.41767059582834 _[33] + 118.41767059582834 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 83.73393789062504 _[36] - _[145])x₂⁴ is SOS (67.73393789062504 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 214.58419283719883 _[29] - 44 _[30] + 214.58419283719883 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 85.26606210937496 _[30] + 280.0142853498728 _[31] - 170.53212421874994 _[32] + 186.67619023324855 _[33] - 85.26606210937496 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 503.0837595613102 _[33] - 264 _[34] + 503.0837595613102 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 172.26606210937496 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.43799e-02 3.0250000000000004 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (99.02812697753913 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.88754066160678 _[2] + 40 _[3] + 183.88754066160678 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 0.02812697753913085 _[3] - 212.13203435596427 _[4] + 0.0562539550782617 _[5] + 0.02812697753913085 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.46113379041392 _[6] + 141.46113379041392 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 100.02812697753913 _[9] - _[85])x₂⁴ is SOS (100.02812697753913 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.46113379041392 _[2] + 141.46113379041392 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (100.02812697753913 _[3] + 200.0562539550783 _[5] + 100.02812697753913 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.46113379041392 _[6] + 141.46113379041392 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (100.02812697753913 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 100.02812697753913 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.46113379041392 _[11] + 141.46113379041392 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 100.02812697753913 _[12] + 200.0562539550783 _[14] + 100.02812697753913 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.46113379041392 _[15] + 141.46113379041392 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 100.02812697753913 _[18] - _[105])x₂⁴ is SOS (100.02812697753913 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.46113379041392 _[11] + 141.46113379041392 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (100.02812697753913 _[12] + 200.0562539550783 _[14] + 100.02812697753913 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.46113379041392 _[15] + 141.46113379041392 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (100.02812697753913 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (100.02812697753913 _[19] - _[117])x₁⁴ + (141.46113379041392 _[20] + 141.46113379041392 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (100.02812697753913 _[21] + 200.0562539550783 _[23] + 100.02812697753913 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.46113379041392 _[24] + 141.46113379041392 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 100.02812697753913 _[27] - _[125])x₂⁴ is SOS (100.02812697753913 _[19] - _[127])x₁⁴ + (141.46113379041392 _[20] + 141.46113379041392 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (100.02812697753913 _[21] + 200.0562539550783 _[23] + 100.02812697753913 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.46113379041392 _[24] + 141.46113379041392 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (100.02812697753913 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 100.02812697753913 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.46113379041392 _[29] + 141.46113379041392 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 100.02812697753913 _[30] + 200.0562539550783 _[32] + 100.02812697753913 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.46113379041392 _[33] + 141.46113379041392 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 100.02812697753913 _[36] - _[145])x₂⁴ is SOS (84.02812697753913 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.6276560317844 _[29] - 44 _[30] + 237.6276560317844 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 68.97187302246087 _[30] + 280.0142853498728 _[31] - 137.94374604492177 _[32] + 186.67619023324855 _[33] - 68.97187302246087 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.1272227558958 _[33] - 264 _[34] + 526.1272227558958 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 155.97187302246087 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (99.02812697753913 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.88754066160678 _[2] + 40 _[3] + 183.88754066160678 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 0.02812697753913085 _[3] - 212.13203435596427 _[4] + 0.0562539550782617 _[5] + 0.02812697753913085 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.46113379041392 _[6] + 141.46113379041392 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 100.02812697753913 _[9] - _[85])x₂⁴ is SOS (100.02812697753913 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.46113379041392 _[2] + 141.46113379041392 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (100.02812697753913 _[3] + 200.0562539550783 _[5] + 100.02812697753913 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.46113379041392 _[6] + 141.46113379041392 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (100.02812697753913 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 100.02812697753913 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.46113379041392 _[11] + 141.46113379041392 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 100.02812697753913 _[12] + 200.0562539550783 _[14] + 100.02812697753913 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.46113379041392 _[15] + 141.46113379041392 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 100.02812697753913 _[18] - _[105])x₂⁴ is SOS (100.02812697753913 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.46113379041392 _[11] + 141.46113379041392 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (100.02812697753913 _[12] + 200.0562539550783 _[14] + 100.02812697753913 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.46113379041392 _[15] + 141.46113379041392 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (100.02812697753913 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (100.02812697753913 _[19] - _[117])x₁⁴ + (141.46113379041392 _[20] + 141.46113379041392 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (100.02812697753913 _[21] + 200.0562539550783 _[23] + 100.02812697753913 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.46113379041392 _[24] + 141.46113379041392 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 100.02812697753913 _[27] - _[125])x₂⁴ is SOS (100.02812697753913 _[19] - _[127])x₁⁴ + (141.46113379041392 _[20] + 141.46113379041392 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (100.02812697753913 _[21] + 200.0562539550783 _[23] + 100.02812697753913 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.46113379041392 _[24] + 141.46113379041392 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (100.02812697753913 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 100.02812697753913 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.46113379041392 _[29] + 141.46113379041392 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 100.02812697753913 _[30] + 200.0562539550783 _[32] + 100.02812697753913 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.46113379041392 _[33] + 141.46113379041392 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 100.02812697753913 _[36] - _[145])x₂⁴ is SOS (84.02812697753913 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.6276560317844 _[29] - 44 _[30] + 237.6276560317844 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 68.97187302246087 _[30] + 280.0142853498728 _[31] - 137.94374604492177 _[32] + 186.67619023324855 _[33] - 68.97187302246087 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.1272227558958 _[33] - 264 _[34] + 526.1272227558958 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 155.97187302246087 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 2.01831e-02 3.1625000000000005 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (90.60957431793219 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 171.98190931483853 _[2] + 40 _[3] + 171.98190931483853 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 8.390425682067814 _[3] - 212.13203435596427 _[4] - 16.78085136413563 _[5] - 8.390425682067814 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 129.55550244364568 _[6] + 129.55550244364568 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 91.60957431793219 _[9] - _[85])x₂⁴ is SOS (91.60957431793219 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (129.55550244364568 _[2] + 129.55550244364568 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (91.60957431793219 _[3] + 183.2191486358644 _[5] + 91.60957431793219 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (129.55550244364568 _[6] + 129.55550244364568 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (91.60957431793219 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 91.60957431793219 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 129.55550244364568 _[11] + 129.55550244364568 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 91.60957431793219 _[12] + 183.2191486358644 _[14] + 91.60957431793219 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 129.55550244364568 _[15] + 129.55550244364568 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 91.60957431793219 _[18] - _[105])x₂⁴ is SOS (91.60957431793219 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (129.55550244364568 _[11] + 129.55550244364568 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (91.60957431793219 _[12] + 183.2191486358644 _[14] + 91.60957431793219 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (129.55550244364568 _[15] + 129.55550244364568 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (91.60957431793219 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (91.60957431793219 _[19] - _[117])x₁⁴ + (129.55550244364568 _[20] + 129.55550244364568 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (91.60957431793219 _[21] + 183.2191486358644 _[23] + 91.60957431793219 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (129.55550244364568 _[24] + 129.55550244364568 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 91.60957431793219 _[27] - _[125])x₂⁴ is SOS (91.60957431793219 _[19] - _[127])x₁⁴ + (129.55550244364568 _[20] + 129.55550244364568 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (91.60957431793219 _[21] + 183.2191486358644 _[23] + 91.60957431793219 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (129.55550244364568 _[24] + 129.55550244364568 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (91.60957431793219 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 91.60957431793219 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 129.55550244364568 _[29] + 129.55550244364568 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 91.60957431793219 _[30] + 183.2191486358644 _[32] + 91.60957431793219 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 129.55550244364568 _[33] + 129.55550244364568 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 91.60957431793219 _[36] - _[145])x₂⁴ is SOS (75.60957431793219 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 225.72202468501615 _[29] - 44 _[30] + 225.72202468501615 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 77.39042568206781 _[30] + 280.0142853498728 _[31] - 154.78085136413566 _[32] + 186.67619023324855 _[33] - 77.39042568206781 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 514.2215914091275 _[33] - 264 _[34] + 514.2215914091275 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 164.39042568206781 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (90.60957431793219 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 171.98190931483853 _[2] + 40 _[3] + 171.98190931483853 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 8.390425682067814 _[3] - 212.13203435596427 _[4] - 16.78085136413563 _[5] - 8.390425682067814 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 129.55550244364568 _[6] + 129.55550244364568 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 91.60957431793219 _[9] - _[85])x₂⁴ is SOS (91.60957431793219 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (129.55550244364568 _[2] + 129.55550244364568 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (91.60957431793219 _[3] + 183.2191486358644 _[5] + 91.60957431793219 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (129.55550244364568 _[6] + 129.55550244364568 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (91.60957431793219 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 91.60957431793219 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 129.55550244364568 _[11] + 129.55550244364568 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 91.60957431793219 _[12] + 183.2191486358644 _[14] + 91.60957431793219 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 129.55550244364568 _[15] + 129.55550244364568 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 91.60957431793219 _[18] - _[105])x₂⁴ is SOS (91.60957431793219 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (129.55550244364568 _[11] + 129.55550244364568 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (91.60957431793219 _[12] + 183.2191486358644 _[14] + 91.60957431793219 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (129.55550244364568 _[15] + 129.55550244364568 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (91.60957431793219 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (91.60957431793219 _[19] - _[117])x₁⁴ + (129.55550244364568 _[20] + 129.55550244364568 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (91.60957431793219 _[21] + 183.2191486358644 _[23] + 91.60957431793219 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (129.55550244364568 _[24] + 129.55550244364568 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 91.60957431793219 _[27] - _[125])x₂⁴ is SOS (91.60957431793219 _[19] - _[127])x₁⁴ + (129.55550244364568 _[20] + 129.55550244364568 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (91.60957431793219 _[21] + 183.2191486358644 _[23] + 91.60957431793219 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (129.55550244364568 _[24] + 129.55550244364568 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (91.60957431793219 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 91.60957431793219 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 129.55550244364568 _[29] + 129.55550244364568 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 91.60957431793219 _[30] + 183.2191486358644 _[32] + 91.60957431793219 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 129.55550244364568 _[33] + 129.55550244364568 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 91.60957431793219 _[36] - _[145])x₂⁴ is SOS (75.60957431793219 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 225.72202468501615 _[29] - 44 _[30] + 225.72202468501615 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 77.39042568206781 _[30] + 280.0142853498728 _[31] - 154.78085136413566 _[32] + 186.67619023324855 _[33] - 77.39042568206781 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 514.2215914091275 _[33] - 264 _[34] + 514.2215914091275 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 164.39042568206781 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.54860e-02 3.0937500000000004 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (94.74947395334253 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 177.8366115260993 _[2] + 40 _[3] + 177.8366115260993 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 4.25052604665747 _[3] - 212.13203435596427 _[4] - 8.50105209331494 _[5] - 4.25052604665747 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 135.41020465490644 _[6] + 135.41020465490644 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 95.74947395334253 _[9] - _[85])x₂⁴ is SOS (95.74947395334253 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (135.41020465490644 _[2] + 135.41020465490644 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (95.74947395334253 _[3] + 191.4989479066851 _[5] + 95.74947395334253 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (135.41020465490644 _[6] + 135.41020465490644 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (95.74947395334253 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 95.74947395334253 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 135.41020465490644 _[11] + 135.41020465490644 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 95.74947395334253 _[12] + 191.4989479066851 _[14] + 95.74947395334253 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 135.41020465490644 _[15] + 135.41020465490644 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 95.74947395334253 _[18] - _[105])x₂⁴ is SOS (95.74947395334253 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (135.41020465490644 _[11] + 135.41020465490644 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (95.74947395334253 _[12] + 191.4989479066851 _[14] + 95.74947395334253 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (135.41020465490644 _[15] + 135.41020465490644 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (95.74947395334253 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (95.74947395334253 _[19] - _[117])x₁⁴ + (135.41020465490644 _[20] + 135.41020465490644 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (95.74947395334253 _[21] + 191.4989479066851 _[23] + 95.74947395334253 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (135.41020465490644 _[24] + 135.41020465490644 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 95.74947395334253 _[27] - _[125])x₂⁴ is SOS (95.74947395334253 _[19] - _[127])x₁⁴ + (135.41020465490644 _[20] + 135.41020465490644 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (95.74947395334253 _[21] + 191.4989479066851 _[23] + 95.74947395334253 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (135.41020465490644 _[24] + 135.41020465490644 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (95.74947395334253 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 95.74947395334253 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 135.41020465490644 _[29] + 135.41020465490644 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 95.74947395334253 _[30] + 191.4989479066851 _[32] + 95.74947395334253 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 135.41020465490644 _[33] + 135.41020465490644 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 95.74947395334253 _[36] - _[145])x₂⁴ is SOS (79.74947395334253 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 231.5767268962769 _[29] - 44 _[30] + 231.5767268962769 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 73.25052604665747 _[30] + 280.0142853498728 _[31] - 146.50105209331497 _[32] + 186.67619023324855 _[33] - 73.25052604665747 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 520.0762936203884 _[33] - 264 _[34] + 520.0762936203884 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 160.25052604665746 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (94.74947395334253 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 177.8366115260993 _[2] + 40 _[3] + 177.8366115260993 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 4.25052604665747 _[3] - 212.13203435596427 _[4] - 8.50105209331494 _[5] - 4.25052604665747 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 135.41020465490644 _[6] + 135.41020465490644 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 95.74947395334253 _[9] - _[85])x₂⁴ is SOS (95.74947395334253 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (135.41020465490644 _[2] + 135.41020465490644 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (95.74947395334253 _[3] + 191.4989479066851 _[5] + 95.74947395334253 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (135.41020465490644 _[6] + 135.41020465490644 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (95.74947395334253 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 95.74947395334253 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 135.41020465490644 _[11] + 135.41020465490644 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 95.74947395334253 _[12] + 191.4989479066851 _[14] + 95.74947395334253 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 135.41020465490644 _[15] + 135.41020465490644 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 95.74947395334253 _[18] - _[105])x₂⁴ is SOS (95.74947395334253 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (135.41020465490644 _[11] + 135.41020465490644 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (95.74947395334253 _[12] + 191.4989479066851 _[14] + 95.74947395334253 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (135.41020465490644 _[15] + 135.41020465490644 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (95.74947395334253 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (95.74947395334253 _[19] - _[117])x₁⁴ + (135.41020465490644 _[20] + 135.41020465490644 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (95.74947395334253 _[21] + 191.4989479066851 _[23] + 95.74947395334253 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (135.41020465490644 _[24] + 135.41020465490644 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 95.74947395334253 _[27] - _[125])x₂⁴ is SOS (95.74947395334253 _[19] - _[127])x₁⁴ + (135.41020465490644 _[20] + 135.41020465490644 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (95.74947395334253 _[21] + 191.4989479066851 _[23] + 95.74947395334253 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (135.41020465490644 _[24] + 135.41020465490644 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (95.74947395334253 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 95.74947395334253 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 135.41020465490644 _[29] + 135.41020465490644 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 95.74947395334253 _[30] + 191.4989479066851 _[32] + 95.74947395334253 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 135.41020465490644 _[33] + 135.41020465490644 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 95.74947395334253 _[36] - _[145])x₂⁴ is SOS (79.74947395334253 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 231.5767268962769 _[29] - 44 _[30] + 231.5767268962769 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 73.25052604665747 _[30] + 280.0142853498728 _[31] - 146.50105209331497 _[32] + 186.67619023324855 _[33] - 73.25052604665747 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 520.0762936203884 _[33] - 264 _[34] + 520.0762936203884 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 160.25052604665746 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.18150e-02 3.1281250000000007 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (96.8712654385627 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 180.8372778210254 _[2] + 40 _[3] + 180.8372778210254 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 2.128734561437298 _[3] - 212.13203435596427 _[4] - 4.257469122874596 _[5] - 2.128734561437298 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 138.41087094983254 _[6] + 138.41087094983254 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 97.8712654385627 _[9] - _[85])x₂⁴ is SOS (97.8712654385627 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (138.41087094983254 _[2] + 138.41087094983254 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (97.8712654385627 _[3] + 195.74253087712543 _[5] + 97.8712654385627 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (138.41087094983254 _[6] + 138.41087094983254 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (97.8712654385627 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 97.8712654385627 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 138.41087094983254 _[11] + 138.41087094983254 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 97.8712654385627 _[12] + 195.74253087712543 _[14] + 97.8712654385627 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 138.41087094983254 _[15] + 138.41087094983254 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 97.8712654385627 _[18] - _[105])x₂⁴ is SOS (97.8712654385627 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (138.41087094983254 _[11] + 138.41087094983254 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (97.8712654385627 _[12] + 195.74253087712543 _[14] + 97.8712654385627 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (138.41087094983254 _[15] + 138.41087094983254 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (97.8712654385627 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (97.8712654385627 _[19] - _[117])x₁⁴ + (138.41087094983254 _[20] + 138.41087094983254 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (97.8712654385627 _[21] + 195.74253087712543 _[23] + 97.8712654385627 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (138.41087094983254 _[24] + 138.41087094983254 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 97.8712654385627 _[27] - _[125])x₂⁴ is SOS (97.8712654385627 _[19] - _[127])x₁⁴ + (138.41087094983254 _[20] + 138.41087094983254 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (97.8712654385627 _[21] + 195.74253087712543 _[23] + 97.8712654385627 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (138.41087094983254 _[24] + 138.41087094983254 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (97.8712654385627 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 97.8712654385627 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 138.41087094983254 _[29] + 138.41087094983254 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 97.8712654385627 _[30] + 195.74253087712543 _[32] + 97.8712654385627 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 138.41087094983254 _[33] + 138.41087094983254 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 97.8712654385627 _[36] - _[145])x₂⁴ is SOS (81.8712654385627 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 234.57739319120302 _[29] - 44 _[30] + 234.57739319120302 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 71.1287345614373 _[30] + 280.0142853498728 _[31] - 142.25746912287462 _[32] + 186.67619023324855 _[33] - 71.1287345614373 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 523.0769599153144 _[33] - 264 _[34] + 523.0769599153144 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 158.12873456143728 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (96.8712654385627 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 180.8372778210254 _[2] + 40 _[3] + 180.8372778210254 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 2.128734561437298 _[3] - 212.13203435596427 _[4] - 4.257469122874596 _[5] - 2.128734561437298 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 138.41087094983254 _[6] + 138.41087094983254 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 97.8712654385627 _[9] - _[85])x₂⁴ is SOS (97.8712654385627 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (138.41087094983254 _[2] + 138.41087094983254 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (97.8712654385627 _[3] + 195.74253087712543 _[5] + 97.8712654385627 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (138.41087094983254 _[6] + 138.41087094983254 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (97.8712654385627 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 97.8712654385627 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 138.41087094983254 _[11] + 138.41087094983254 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 97.8712654385627 _[12] + 195.74253087712543 _[14] + 97.8712654385627 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 138.41087094983254 _[15] + 138.41087094983254 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 97.8712654385627 _[18] - _[105])x₂⁴ is SOS (97.8712654385627 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (138.41087094983254 _[11] + 138.41087094983254 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (97.8712654385627 _[12] + 195.74253087712543 _[14] + 97.8712654385627 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (138.41087094983254 _[15] + 138.41087094983254 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (97.8712654385627 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (97.8712654385627 _[19] - _[117])x₁⁴ + (138.41087094983254 _[20] + 138.41087094983254 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (97.8712654385627 _[21] + 195.74253087712543 _[23] + 97.8712654385627 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (138.41087094983254 _[24] + 138.41087094983254 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 97.8712654385627 _[27] - _[125])x₂⁴ is SOS (97.8712654385627 _[19] - _[127])x₁⁴ + (138.41087094983254 _[20] + 138.41087094983254 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (97.8712654385627 _[21] + 195.74253087712543 _[23] + 97.8712654385627 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (138.41087094983254 _[24] + 138.41087094983254 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (97.8712654385627 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 97.8712654385627 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 138.41087094983254 _[29] + 138.41087094983254 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 97.8712654385627 _[30] + 195.74253087712543 _[32] + 97.8712654385627 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 138.41087094983254 _[33] + 138.41087094983254 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 97.8712654385627 _[36] - _[145])x₂⁴ is SOS (81.8712654385627 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 234.57739319120302 _[29] - 44 _[30] + 234.57739319120302 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 71.1287345614373 _[30] + 280.0142853498728 _[31] - 142.25746912287462 _[32] + 186.67619023324855 _[33] - 71.1287345614373 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 523.0769599153144 _[33] - 264 _[34] + 523.0769599153144 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 158.12873456143728 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.67570e-02 3.1453125000000006 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (97.94528848013323 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 182.35617577271563 _[2] + 40 _[3] + 182.35617577271563 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 1.0547115198667711 _[3] - 212.13203435596427 _[4] - 2.1094230397335707 _[5] - 1.0547115198667711 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 139.92976890152278 _[6] + 139.92976890152278 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 98.94528848013323 _[9] - _[85])x₂⁴ is SOS (98.94528848013323 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (139.92976890152278 _[2] + 139.92976890152278 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (98.94528848013323 _[3] + 197.89057696026646 _[5] + 98.94528848013323 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (139.92976890152278 _[6] + 139.92976890152278 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (98.94528848013323 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 98.94528848013323 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 139.92976890152278 _[11] + 139.92976890152278 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 98.94528848013323 _[12] + 197.89057696026646 _[14] + 98.94528848013323 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 139.92976890152278 _[15] + 139.92976890152278 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 98.94528848013323 _[18] - _[105])x₂⁴ is SOS (98.94528848013323 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (139.92976890152278 _[11] + 139.92976890152278 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (98.94528848013323 _[12] + 197.89057696026646 _[14] + 98.94528848013323 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (139.92976890152278 _[15] + 139.92976890152278 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (98.94528848013323 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (98.94528848013323 _[19] - _[117])x₁⁴ + (139.92976890152278 _[20] + 139.92976890152278 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (98.94528848013323 _[21] + 197.89057696026646 _[23] + 98.94528848013323 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (139.92976890152278 _[24] + 139.92976890152278 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 98.94528848013323 _[27] - _[125])x₂⁴ is SOS (98.94528848013323 _[19] - _[127])x₁⁴ + (139.92976890152278 _[20] + 139.92976890152278 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (98.94528848013323 _[21] + 197.89057696026646 _[23] + 98.94528848013323 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (139.92976890152278 _[24] + 139.92976890152278 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (98.94528848013323 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 98.94528848013323 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 139.92976890152278 _[29] + 139.92976890152278 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 98.94528848013323 _[30] + 197.89057696026646 _[32] + 98.94528848013323 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 139.92976890152278 _[33] + 139.92976890152278 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 98.94528848013323 _[36] - _[145])x₂⁴ is SOS (82.94528848013323 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 236.09629114289325 _[29] - 44 _[30] + 236.09629114289325 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 70.05471151986677 _[30] + 280.0142853498728 _[31] - 140.1094230397336 _[32] + 186.67619023324855 _[33] - 70.05471151986677 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 524.5958578670047 _[33] - 264 _[34] + 524.5958578670047 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 157.05471151986677 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (97.94528848013323 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 182.35617577271563 _[2] + 40 _[3] + 182.35617577271563 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 1.0547115198667711 _[3] - 212.13203435596427 _[4] - 2.1094230397335707 _[5] - 1.0547115198667711 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 139.92976890152278 _[6] + 139.92976890152278 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 98.94528848013323 _[9] - _[85])x₂⁴ is SOS (98.94528848013323 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (139.92976890152278 _[2] + 139.92976890152278 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (98.94528848013323 _[3] + 197.89057696026646 _[5] + 98.94528848013323 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (139.92976890152278 _[6] + 139.92976890152278 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (98.94528848013323 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 98.94528848013323 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 139.92976890152278 _[11] + 139.92976890152278 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 98.94528848013323 _[12] + 197.89057696026646 _[14] + 98.94528848013323 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 139.92976890152278 _[15] + 139.92976890152278 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 98.94528848013323 _[18] - _[105])x₂⁴ is SOS (98.94528848013323 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (139.92976890152278 _[11] + 139.92976890152278 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (98.94528848013323 _[12] + 197.89057696026646 _[14] + 98.94528848013323 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (139.92976890152278 _[15] + 139.92976890152278 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (98.94528848013323 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (98.94528848013323 _[19] - _[117])x₁⁴ + (139.92976890152278 _[20] + 139.92976890152278 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (98.94528848013323 _[21] + 197.89057696026646 _[23] + 98.94528848013323 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (139.92976890152278 _[24] + 139.92976890152278 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 98.94528848013323 _[27] - _[125])x₂⁴ is SOS (98.94528848013323 _[19] - _[127])x₁⁴ + (139.92976890152278 _[20] + 139.92976890152278 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (98.94528848013323 _[21] + 197.89057696026646 _[23] + 98.94528848013323 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (139.92976890152278 _[24] + 139.92976890152278 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (98.94528848013323 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 98.94528848013323 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 139.92976890152278 _[29] + 139.92976890152278 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 98.94528848013323 _[30] + 197.89057696026646 _[32] + 98.94528848013323 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 139.92976890152278 _[33] + 139.92976890152278 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 98.94528848013323 _[36] - _[145])x₂⁴ is SOS (82.94528848013323 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 236.09629114289325 _[29] - 44 _[30] + 236.09629114289325 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 70.05471151986677 _[30] + 280.0142853498728 _[31] - 140.1094230397336 _[32] + 186.67619023324855 _[33] - 70.05471151986677 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 524.5958578670047 _[33] - 264 _[34] + 524.5958578670047 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 157.05471151986677 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 4.61378e-02 3.1539062500000004 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.48560279329837 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.12029560233808 _[2] + 40 _[3] + 183.12029560233808 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.5143972067016307 _[3] - 212.13203435596427 _[4] - 1.0287944134032898 _[5] - 0.5143972067016307 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 140.69388873114522 _[6] + 140.69388873114522 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.48560279329837 _[9] - _[85])x₂⁴ is SOS (99.48560279329837 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (140.69388873114522 _[2] + 140.69388873114522 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.48560279329837 _[3] + 198.97120558659674 _[5] + 99.48560279329837 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (140.69388873114522 _[6] + 140.69388873114522 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.48560279329837 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.48560279329837 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 140.69388873114522 _[11] + 140.69388873114522 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.48560279329837 _[12] + 198.97120558659674 _[14] + 99.48560279329837 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 140.69388873114522 _[15] + 140.69388873114522 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.48560279329837 _[18] - _[105])x₂⁴ is SOS (99.48560279329837 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (140.69388873114522 _[11] + 140.69388873114522 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.48560279329837 _[12] + 198.97120558659674 _[14] + 99.48560279329837 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (140.69388873114522 _[15] + 140.69388873114522 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.48560279329837 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.48560279329837 _[19] - _[117])x₁⁴ + (140.69388873114522 _[20] + 140.69388873114522 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.48560279329837 _[21] + 198.97120558659674 _[23] + 99.48560279329837 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (140.69388873114522 _[24] + 140.69388873114522 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.48560279329837 _[27] - _[125])x₂⁴ is SOS (99.48560279329837 _[19] - _[127])x₁⁴ + (140.69388873114522 _[20] + 140.69388873114522 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.48560279329837 _[21] + 198.97120558659674 _[23] + 99.48560279329837 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (140.69388873114522 _[24] + 140.69388873114522 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.48560279329837 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.48560279329837 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 140.69388873114522 _[29] + 140.69388873114522 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.48560279329837 _[30] + 198.97120558659674 _[32] + 99.48560279329837 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 140.69388873114522 _[33] + 140.69388873114522 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.48560279329837 _[36] - _[145])x₂⁴ is SOS (83.48560279329837 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 236.8604109725157 _[29] - 44 _[30] + 236.8604109725157 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.51439720670163 _[30] + 280.0142853498728 _[31] - 139.02879441340332 _[32] + 186.67619023324855 _[33] - 69.51439720670163 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 525.3599776966271 _[33] - 264 _[34] + 525.3599776966271 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.51439720670163 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.48560279329837 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.12029560233808 _[2] + 40 _[3] + 183.12029560233808 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.5143972067016307 _[3] - 212.13203435596427 _[4] - 1.0287944134032898 _[5] - 0.5143972067016307 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 140.69388873114522 _[6] + 140.69388873114522 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.48560279329837 _[9] - _[85])x₂⁴ is SOS (99.48560279329837 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (140.69388873114522 _[2] + 140.69388873114522 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.48560279329837 _[3] + 198.97120558659674 _[5] + 99.48560279329837 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (140.69388873114522 _[6] + 140.69388873114522 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.48560279329837 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.48560279329837 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 140.69388873114522 _[11] + 140.69388873114522 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.48560279329837 _[12] + 198.97120558659674 _[14] + 99.48560279329837 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 140.69388873114522 _[15] + 140.69388873114522 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.48560279329837 _[18] - _[105])x₂⁴ is SOS (99.48560279329837 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (140.69388873114522 _[11] + 140.69388873114522 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.48560279329837 _[12] + 198.97120558659674 _[14] + 99.48560279329837 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (140.69388873114522 _[15] + 140.69388873114522 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.48560279329837 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.48560279329837 _[19] - _[117])x₁⁴ + (140.69388873114522 _[20] + 140.69388873114522 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.48560279329837 _[21] + 198.97120558659674 _[23] + 99.48560279329837 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (140.69388873114522 _[24] + 140.69388873114522 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.48560279329837 _[27] - _[125])x₂⁴ is SOS (99.48560279329837 _[19] - _[127])x₁⁴ + (140.69388873114522 _[20] + 140.69388873114522 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.48560279329837 _[21] + 198.97120558659674 _[23] + 99.48560279329837 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (140.69388873114522 _[24] + 140.69388873114522 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.48560279329837 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.48560279329837 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 140.69388873114522 _[29] + 140.69388873114522 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.48560279329837 _[30] + 198.97120558659674 _[32] + 99.48560279329837 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 140.69388873114522 _[33] + 140.69388873114522 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.48560279329837 _[36] - _[145])x₂⁴ is SOS (83.48560279329837 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 236.8604109725157 _[29] - 44 _[30] + 236.8604109725157 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.51439720670163 _[30] + 280.0142853498728 _[31] - 139.02879441340332 _[32] + 186.67619023324855 _[33] - 69.51439720670163 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 525.3599776966271 _[33] - 264 _[34] + 525.3599776966271 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.51439720670163 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.23949e-02 3.1582031250000004 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.75658827564212 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.50352694667484 _[2] + 40 _[3] + 183.50352694667484 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.24341172435788394 _[3] - 212.13203435596427 _[4] - 0.48682344871573946 _[5] - 0.24341172435788394 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.077120075482 _[6] + 141.077120075482 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.75658827564212 _[9] - _[85])x₂⁴ is SOS (99.75658827564212 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.077120075482 _[2] + 141.077120075482 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.75658827564212 _[3] + 199.5131765512843 _[5] + 99.75658827564212 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.077120075482 _[6] + 141.077120075482 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.75658827564212 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.75658827564212 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.077120075482 _[11] + 141.077120075482 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.75658827564212 _[12] + 199.5131765512843 _[14] + 99.75658827564212 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.077120075482 _[15] + 141.077120075482 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.75658827564212 _[18] - _[105])x₂⁴ is SOS (99.75658827564212 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.077120075482 _[11] + 141.077120075482 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.75658827564212 _[12] + 199.5131765512843 _[14] + 99.75658827564212 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.077120075482 _[15] + 141.077120075482 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.75658827564212 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.75658827564212 _[19] - _[117])x₁⁴ + (141.077120075482 _[20] + 141.077120075482 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.75658827564212 _[21] + 199.5131765512843 _[23] + 99.75658827564212 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.077120075482 _[24] + 141.077120075482 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.75658827564212 _[27] - _[125])x₂⁴ is SOS (99.75658827564212 _[19] - _[127])x₁⁴ + (141.077120075482 _[20] + 141.077120075482 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.75658827564212 _[21] + 199.5131765512843 _[23] + 99.75658827564212 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.077120075482 _[24] + 141.077120075482 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.75658827564212 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.75658827564212 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.077120075482 _[29] + 141.077120075482 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.75658827564212 _[30] + 199.5131765512843 _[32] + 99.75658827564212 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.077120075482 _[33] + 141.077120075482 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.75658827564212 _[36] - _[145])x₂⁴ is SOS (83.75658827564212 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.24364231685246 _[29] - 44 _[30] + 237.24364231685246 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.24341172435788 _[30] + 280.0142853498728 _[31] - 138.48682344871577 _[32] + 186.67619023324855 _[33] - 69.24341172435788 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 525.7432090409638 _[33] - 264 _[34] + 525.7432090409638 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.24341172435788 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.75658827564212 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.50352694667484 _[2] + 40 _[3] + 183.50352694667484 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.24341172435788394 _[3] - 212.13203435596427 _[4] - 0.48682344871573946 _[5] - 0.24341172435788394 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.077120075482 _[6] + 141.077120075482 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.75658827564212 _[9] - _[85])x₂⁴ is SOS (99.75658827564212 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.077120075482 _[2] + 141.077120075482 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.75658827564212 _[3] + 199.5131765512843 _[5] + 99.75658827564212 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.077120075482 _[6] + 141.077120075482 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.75658827564212 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.75658827564212 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.077120075482 _[11] + 141.077120075482 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.75658827564212 _[12] + 199.5131765512843 _[14] + 99.75658827564212 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.077120075482 _[15] + 141.077120075482 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.75658827564212 _[18] - _[105])x₂⁴ is SOS (99.75658827564212 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.077120075482 _[11] + 141.077120075482 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.75658827564212 _[12] + 199.5131765512843 _[14] + 99.75658827564212 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.077120075482 _[15] + 141.077120075482 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.75658827564212 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.75658827564212 _[19] - _[117])x₁⁴ + (141.077120075482 _[20] + 141.077120075482 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.75658827564212 _[21] + 199.5131765512843 _[23] + 99.75658827564212 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.077120075482 _[24] + 141.077120075482 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.75658827564212 _[27] - _[125])x₂⁴ is SOS (99.75658827564212 _[19] - _[127])x₁⁴ + (141.077120075482 _[20] + 141.077120075482 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.75658827564212 _[21] + 199.5131765512843 _[23] + 99.75658827564212 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.077120075482 _[24] + 141.077120075482 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.75658827564212 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.75658827564212 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.077120075482 _[29] + 141.077120075482 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.75658827564212 _[30] + 199.5131765512843 _[32] + 99.75658827564212 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.077120075482 _[33] + 141.077120075482 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.75658827564212 _[36] - _[145])x₂⁴ is SOS (83.75658827564212 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.24364231685246 _[29] - 44 _[30] + 237.24364231685246 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.24341172435788 _[30] + 280.0142853498728 _[31] - 138.48682344871577 _[32] + 186.67619023324855 _[33] - 69.24341172435788 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 525.7432090409638 _[33] - 264 _[34] + 525.7432090409638 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.24341172435788 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.17590e-02 3.1603515625000007 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.89228842713196 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.69543594132784 _[2] + 40 _[3] + 183.69543594132784 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.10771157286804112 _[3] - 212.13203435596427 _[4] - 0.21542314573608223 _[5] - 0.10771157286804112 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.269029070135 _[6] + 141.269029070135 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.89228842713196 _[9] - _[85])x₂⁴ is SOS (99.89228842713196 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.269029070135 _[2] + 141.269029070135 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.89228842713196 _[3] + 199.78457685426395 _[5] + 99.89228842713196 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.269029070135 _[6] + 141.269029070135 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.89228842713196 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.89228842713196 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.269029070135 _[11] + 141.269029070135 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.89228842713196 _[12] + 199.78457685426395 _[14] + 99.89228842713196 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.269029070135 _[15] + 141.269029070135 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.89228842713196 _[18] - _[105])x₂⁴ is SOS (99.89228842713196 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.269029070135 _[11] + 141.269029070135 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.89228842713196 _[12] + 199.78457685426395 _[14] + 99.89228842713196 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.269029070135 _[15] + 141.269029070135 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.89228842713196 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.89228842713196 _[19] - _[117])x₁⁴ + (141.269029070135 _[20] + 141.269029070135 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.89228842713196 _[21] + 199.78457685426395 _[23] + 99.89228842713196 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.269029070135 _[24] + 141.269029070135 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.89228842713196 _[27] - _[125])x₂⁴ is SOS (99.89228842713196 _[19] - _[127])x₁⁴ + (141.269029070135 _[20] + 141.269029070135 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.89228842713196 _[21] + 199.78457685426395 _[23] + 99.89228842713196 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.269029070135 _[24] + 141.269029070135 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.89228842713196 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.89228842713196 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.269029070135 _[29] + 141.269029070135 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.89228842713196 _[30] + 199.78457685426395 _[32] + 99.89228842713196 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.269029070135 _[33] + 141.269029070135 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.89228842713196 _[36] - _[145])x₂⁴ is SOS (83.89228842713196 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.43555131150546 _[29] - 44 _[30] + 237.43555131150546 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.10771157286804 _[30] + 280.0142853498728 _[31] - 138.2154231457361 _[32] + 186.67619023324855 _[33] - 69.10771157286804 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 525.9351180356168 _[33] - 264 _[34] + 525.9351180356168 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.10771157286803 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.89228842713196 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.69543594132784 _[2] + 40 _[3] + 183.69543594132784 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.10771157286804112 _[3] - 212.13203435596427 _[4] - 0.21542314573608223 _[5] - 0.10771157286804112 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.269029070135 _[6] + 141.269029070135 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.89228842713196 _[9] - _[85])x₂⁴ is SOS (99.89228842713196 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.269029070135 _[2] + 141.269029070135 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.89228842713196 _[3] + 199.78457685426395 _[5] + 99.89228842713196 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.269029070135 _[6] + 141.269029070135 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.89228842713196 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.89228842713196 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.269029070135 _[11] + 141.269029070135 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.89228842713196 _[12] + 199.78457685426395 _[14] + 99.89228842713196 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.269029070135 _[15] + 141.269029070135 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.89228842713196 _[18] - _[105])x₂⁴ is SOS (99.89228842713196 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.269029070135 _[11] + 141.269029070135 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.89228842713196 _[12] + 199.78457685426395 _[14] + 99.89228842713196 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.269029070135 _[15] + 141.269029070135 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.89228842713196 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.89228842713196 _[19] - _[117])x₁⁴ + (141.269029070135 _[20] + 141.269029070135 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.89228842713196 _[21] + 199.78457685426395 _[23] + 99.89228842713196 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.269029070135 _[24] + 141.269029070135 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.89228842713196 _[27] - _[125])x₂⁴ is SOS (99.89228842713196 _[19] - _[127])x₁⁴ + (141.269029070135 _[20] + 141.269029070135 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.89228842713196 _[21] + 199.78457685426395 _[23] + 99.89228842713196 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.269029070135 _[24] + 141.269029070135 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.89228842713196 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.89228842713196 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.269029070135 _[29] + 141.269029070135 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.89228842713196 _[30] + 199.78457685426395 _[32] + 99.89228842713196 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.269029070135 _[33] + 141.269029070135 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.89228842713196 _[36] - _[145])x₂⁴ is SOS (83.89228842713196 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.43555131150546 _[29] - 44 _[30] + 237.43555131150546 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.10771157286804 _[30] + 280.0142853498728 _[31] - 138.2154231457361 _[32] + 186.67619023324855 _[33] - 69.10771157286804 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 525.9351180356168 _[33] - 264 _[34] + 525.9351180356168 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.10771157286803 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.64039e-02 3.1614257812500006 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.9601903965923 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.79146382745049 _[2] + 40 _[3] + 183.79146382745049 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.03980960340770423 _[3] - 212.13203435596427 _[4] - 0.07961920681543688 _[5] - 0.03980960340770423 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.36505695625763 _[6] + 141.36505695625763 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.9601903965923 _[9] - _[85])x₂⁴ is SOS (99.9601903965923 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.36505695625763 _[2] + 141.36505695625763 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.9601903965923 _[3] + 199.9203807931846 _[5] + 99.9601903965923 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.36505695625763 _[6] + 141.36505695625763 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.9601903965923 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.9601903965923 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.36505695625763 _[11] + 141.36505695625763 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.9601903965923 _[12] + 199.9203807931846 _[14] + 99.9601903965923 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.36505695625763 _[15] + 141.36505695625763 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.9601903965923 _[18] - _[105])x₂⁴ is SOS (99.9601903965923 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.36505695625763 _[11] + 141.36505695625763 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.9601903965923 _[12] + 199.9203807931846 _[14] + 99.9601903965923 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.36505695625763 _[15] + 141.36505695625763 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.9601903965923 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.9601903965923 _[19] - _[117])x₁⁴ + (141.36505695625763 _[20] + 141.36505695625763 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.9601903965923 _[21] + 199.9203807931846 _[23] + 99.9601903965923 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.36505695625763 _[24] + 141.36505695625763 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.9601903965923 _[27] - _[125])x₂⁴ is SOS (99.9601903965923 _[19] - _[127])x₁⁴ + (141.36505695625763 _[20] + 141.36505695625763 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.9601903965923 _[21] + 199.9203807931846 _[23] + 99.9601903965923 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.36505695625763 _[24] + 141.36505695625763 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.9601903965923 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.9601903965923 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.36505695625763 _[29] + 141.36505695625763 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.9601903965923 _[30] + 199.9203807931846 _[32] + 99.9601903965923 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.36505695625763 _[33] + 141.36505695625763 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.9601903965923 _[36] - _[145])x₂⁴ is SOS (83.9601903965923 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5315791976281 _[29] - 44 _[30] + 237.5315791976281 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.0398096034077 _[30] + 280.0142853498728 _[31] - 138.07961920681547 _[32] + 186.67619023324855 _[33] - 69.0398096034077 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0311459217395 _[33] - 264 _[34] + 526.0311459217395 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.03980960340772 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.9601903965923 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.79146382745049 _[2] + 40 _[3] + 183.79146382745049 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.03980960340770423 _[3] - 212.13203435596427 _[4] - 0.07961920681543688 _[5] - 0.03980960340770423 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.36505695625763 _[6] + 141.36505695625763 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.9601903965923 _[9] - _[85])x₂⁴ is SOS (99.9601903965923 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.36505695625763 _[2] + 141.36505695625763 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.9601903965923 _[3] + 199.9203807931846 _[5] + 99.9601903965923 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.36505695625763 _[6] + 141.36505695625763 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.9601903965923 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.9601903965923 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.36505695625763 _[11] + 141.36505695625763 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.9601903965923 _[12] + 199.9203807931846 _[14] + 99.9601903965923 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.36505695625763 _[15] + 141.36505695625763 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.9601903965923 _[18] - _[105])x₂⁴ is SOS (99.9601903965923 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.36505695625763 _[11] + 141.36505695625763 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.9601903965923 _[12] + 199.9203807931846 _[14] + 99.9601903965923 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.36505695625763 _[15] + 141.36505695625763 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.9601903965923 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.9601903965923 _[19] - _[117])x₁⁴ + (141.36505695625763 _[20] + 141.36505695625763 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.9601903965923 _[21] + 199.9203807931846 _[23] + 99.9601903965923 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.36505695625763 _[24] + 141.36505695625763 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.9601903965923 _[27] - _[125])x₂⁴ is SOS (99.9601903965923 _[19] - _[127])x₁⁴ + (141.36505695625763 _[20] + 141.36505695625763 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.9601903965923 _[21] + 199.9203807931846 _[23] + 99.9601903965923 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.36505695625763 _[24] + 141.36505695625763 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.9601903965923 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.9601903965923 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.36505695625763 _[29] + 141.36505695625763 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.9601903965923 _[30] + 199.9203807931846 _[32] + 99.9601903965923 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.36505695625763 _[33] + 141.36505695625763 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.9601903965923 _[36] - _[145])x₂⁴ is SOS (83.9601903965923 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5315791976281 _[29] - 44 _[30] + 237.5315791976281 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.0398096034077 _[30] + 280.0142853498728 _[31] - 138.07961920681547 _[32] + 186.67619023324855 _[33] - 69.0398096034077 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0311459217395 _[33] - 264 _[34] + 526.0311459217395 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.03980960340772 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.42931e-02 3.1619628906250004 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99415435989498 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.8394961249851 _[2] + 40 _[3] + 183.8394961249851 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.0058456401050221984 _[3] - 212.13203435596427 _[4] - 0.011691280210044397 _[5] - 0.0058456401050221984 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41308925379224 _[6] + 141.41308925379224 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99415435989498 _[9] - _[85])x₂⁴ is SOS (99.99415435989498 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41308925379224 _[2] + 141.41308925379224 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99415435989498 _[3] + 199.98830871978998 _[5] + 99.99415435989498 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41308925379224 _[6] + 141.41308925379224 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99415435989498 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99415435989498 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41308925379224 _[11] + 141.41308925379224 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99415435989498 _[12] + 199.98830871978998 _[14] + 99.99415435989498 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41308925379224 _[15] + 141.41308925379224 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99415435989498 _[18] - _[105])x₂⁴ is SOS (99.99415435989498 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41308925379224 _[11] + 141.41308925379224 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99415435989498 _[12] + 199.98830871978998 _[14] + 99.99415435989498 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41308925379224 _[15] + 141.41308925379224 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99415435989498 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99415435989498 _[19] - _[117])x₁⁴ + (141.41308925379224 _[20] + 141.41308925379224 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99415435989498 _[21] + 199.98830871978998 _[23] + 99.99415435989498 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41308925379224 _[24] + 141.41308925379224 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99415435989498 _[27] - _[125])x₂⁴ is SOS (99.99415435989498 _[19] - _[127])x₁⁴ + (141.41308925379224 _[20] + 141.41308925379224 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99415435989498 _[21] + 199.98830871978998 _[23] + 99.99415435989498 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41308925379224 _[24] + 141.41308925379224 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99415435989498 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99415435989498 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41308925379224 _[29] + 141.41308925379224 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99415435989498 _[30] + 199.98830871978998 _[32] + 99.99415435989498 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41308925379224 _[33] + 141.41308925379224 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99415435989498 _[36] - _[145])x₂⁴ is SOS (83.99415435989498 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5796114951627 _[29] - 44 _[30] + 237.5796114951627 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00584564010502 _[30] + 280.0142853498728 _[31] - 138.01169128021007 _[32] + 186.67619023324855 _[33] - 69.00584564010502 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0791782192741 _[33] - 264 _[34] + 526.0791782192741 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.005845640105 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99415435989498 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.8394961249851 _[2] + 40 _[3] + 183.8394961249851 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.0058456401050221984 _[3] - 212.13203435596427 _[4] - 0.011691280210044397 _[5] - 0.0058456401050221984 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41308925379224 _[6] + 141.41308925379224 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99415435989498 _[9] - _[85])x₂⁴ is SOS (99.99415435989498 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41308925379224 _[2] + 141.41308925379224 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99415435989498 _[3] + 199.98830871978998 _[5] + 99.99415435989498 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41308925379224 _[6] + 141.41308925379224 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99415435989498 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99415435989498 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41308925379224 _[11] + 141.41308925379224 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99415435989498 _[12] + 199.98830871978998 _[14] + 99.99415435989498 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41308925379224 _[15] + 141.41308925379224 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99415435989498 _[18] - _[105])x₂⁴ is SOS (99.99415435989498 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41308925379224 _[11] + 141.41308925379224 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99415435989498 _[12] + 199.98830871978998 _[14] + 99.99415435989498 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41308925379224 _[15] + 141.41308925379224 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99415435989498 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99415435989498 _[19] - _[117])x₁⁴ + (141.41308925379224 _[20] + 141.41308925379224 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99415435989498 _[21] + 199.98830871978998 _[23] + 99.99415435989498 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41308925379224 _[24] + 141.41308925379224 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99415435989498 _[27] - _[125])x₂⁴ is SOS (99.99415435989498 _[19] - _[127])x₁⁴ + (141.41308925379224 _[20] + 141.41308925379224 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99415435989498 _[21] + 199.98830871978998 _[23] + 99.99415435989498 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41308925379224 _[24] + 141.41308925379224 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99415435989498 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99415435989498 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41308925379224 _[29] + 141.41308925379224 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99415435989498 _[30] + 199.98830871978998 _[32] + 99.99415435989498 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41308925379224 _[33] + 141.41308925379224 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99415435989498 _[36] - _[145])x₂⁴ is SOS (83.99415435989498 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5796114951627 _[29] - 44 _[30] + 237.5796114951627 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00584564010502 _[30] + 280.0142853498728 _[31] - 138.01169128021007 _[32] + 186.67619023324855 _[33] - 69.00584564010502 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0791782192741 _[33] - 264 _[34] + 526.0791782192741 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.005845640105 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : SLOW_PROGRESS │ ├ result_count : 1 │ └ raw_status : Stuck at edge of primal feasibility. ├ Solution (result = 1) │ ├ primal_status : UNKNOWN_RESULT_STATUS │ ├ dual_status : UNKNOWN_RESULT_STATUS │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.38264e-01 3.1622314453125004 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.97717129654279 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.81547844646178 _[2] + 40 _[3] + 183.81547844646178 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.022828703457207666 _[3] - 212.13203435596427 _[4] - 0.04565740691441533 _[5] - 0.022828703457207666 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.38907157526893 _[6] + 141.38907157526893 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.97717129654279 _[9] - _[85])x₂⁴ is SOS (99.97717129654279 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.38907157526893 _[2] + 141.38907157526893 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.97717129654279 _[3] + 199.9543425930856 _[5] + 99.97717129654279 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.38907157526893 _[6] + 141.38907157526893 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.97717129654279 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.97717129654279 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.38907157526893 _[11] + 141.38907157526893 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.97717129654279 _[12] + 199.9543425930856 _[14] + 99.97717129654279 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.38907157526893 _[15] + 141.38907157526893 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.97717129654279 _[18] - _[105])x₂⁴ is SOS (99.97717129654279 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.38907157526893 _[11] + 141.38907157526893 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.97717129654279 _[12] + 199.9543425930856 _[14] + 99.97717129654279 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.38907157526893 _[15] + 141.38907157526893 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.97717129654279 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.97717129654279 _[19] - _[117])x₁⁴ + (141.38907157526893 _[20] + 141.38907157526893 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.97717129654279 _[21] + 199.9543425930856 _[23] + 99.97717129654279 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.38907157526893 _[24] + 141.38907157526893 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.97717129654279 _[27] - _[125])x₂⁴ is SOS (99.97717129654279 _[19] - _[127])x₁⁴ + (141.38907157526893 _[20] + 141.38907157526893 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.97717129654279 _[21] + 199.9543425930856 _[23] + 99.97717129654279 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.38907157526893 _[24] + 141.38907157526893 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.97717129654279 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.97717129654279 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.38907157526893 _[29] + 141.38907157526893 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.97717129654279 _[30] + 199.9543425930856 _[32] + 99.97717129654279 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.38907157526893 _[33] + 141.38907157526893 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.97717129654279 _[36] - _[145])x₂⁴ is SOS (83.97717129654279 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5555938166394 _[29] - 44 _[30] + 237.5555938166394 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.02282870345721 _[30] + 280.0142853498728 _[31] - 138.04565740691444 _[32] + 186.67619023324855 _[33] - 69.02282870345721 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0551605407509 _[33] - 264 _[34] + 526.0551605407509 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.0228287034572 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.97717129654279 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.81547844646178 _[2] + 40 _[3] + 183.81547844646178 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.022828703457207666 _[3] - 212.13203435596427 _[4] - 0.04565740691441533 _[5] - 0.022828703457207666 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.38907157526893 _[6] + 141.38907157526893 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.97717129654279 _[9] - _[85])x₂⁴ is SOS (99.97717129654279 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.38907157526893 _[2] + 141.38907157526893 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.97717129654279 _[3] + 199.9543425930856 _[5] + 99.97717129654279 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.38907157526893 _[6] + 141.38907157526893 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.97717129654279 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.97717129654279 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.38907157526893 _[11] + 141.38907157526893 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.97717129654279 _[12] + 199.9543425930856 _[14] + 99.97717129654279 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.38907157526893 _[15] + 141.38907157526893 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.97717129654279 _[18] - _[105])x₂⁴ is SOS (99.97717129654279 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.38907157526893 _[11] + 141.38907157526893 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.97717129654279 _[12] + 199.9543425930856 _[14] + 99.97717129654279 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.38907157526893 _[15] + 141.38907157526893 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.97717129654279 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.97717129654279 _[19] - _[117])x₁⁴ + (141.38907157526893 _[20] + 141.38907157526893 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.97717129654279 _[21] + 199.9543425930856 _[23] + 99.97717129654279 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.38907157526893 _[24] + 141.38907157526893 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.97717129654279 _[27] - _[125])x₂⁴ is SOS (99.97717129654279 _[19] - _[127])x₁⁴ + (141.38907157526893 _[20] + 141.38907157526893 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.97717129654279 _[21] + 199.9543425930856 _[23] + 99.97717129654279 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.38907157526893 _[24] + 141.38907157526893 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.97717129654279 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.97717129654279 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.38907157526893 _[29] + 141.38907157526893 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.97717129654279 _[30] + 199.9543425930856 _[32] + 99.97717129654279 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.38907157526893 _[33] + 141.38907157526893 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.97717129654279 _[36] - _[145])x₂⁴ is SOS (83.97717129654279 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5555938166394 _[29] - 44 _[30] + 237.5555938166394 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.02282870345721 _[30] + 280.0142853498728 _[31] - 138.04565740691444 _[32] + 186.67619023324855 _[33] - 69.02282870345721 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0551605407509 _[33] - 264 _[34] + 526.0551605407509 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.0228287034572 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.31680e-02 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (99.00264670290407 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.85150611164488 _[2] + 40 _[3] + 183.85150611164488 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 0.002646702904073095 _[3] - 212.13203435596427 _[4] + 0.00529340580814619 _[5] + 0.002646702904073095 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.42509924045203 _[6] + 141.42509924045203 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 100.00264670290407 _[9] - _[85])x₂⁴ is SOS (100.00264670290407 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.42509924045203 _[2] + 141.42509924045203 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (100.00264670290407 _[3] + 200.00529340580817 _[5] + 100.00264670290407 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.42509924045203 _[6] + 141.42509924045203 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (100.00264670290407 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 100.00264670290407 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.42509924045203 _[11] + 141.42509924045203 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 100.00264670290407 _[12] + 200.00529340580817 _[14] + 100.00264670290407 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.42509924045203 _[15] + 141.42509924045203 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 100.00264670290407 _[18] - _[105])x₂⁴ is SOS (100.00264670290407 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.42509924045203 _[11] + 141.42509924045203 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (100.00264670290407 _[12] + 200.00529340580817 _[14] + 100.00264670290407 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.42509924045203 _[15] + 141.42509924045203 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (100.00264670290407 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (100.00264670290407 _[19] - _[117])x₁⁴ + (141.42509924045203 _[20] + 141.42509924045203 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (100.00264670290407 _[21] + 200.00529340580817 _[23] + 100.00264670290407 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.42509924045203 _[24] + 141.42509924045203 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 100.00264670290407 _[27] - _[125])x₂⁴ is SOS (100.00264670290407 _[19] - _[127])x₁⁴ + (141.42509924045203 _[20] + 141.42509924045203 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (100.00264670290407 _[21] + 200.00529340580817 _[23] + 100.00264670290407 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.42509924045203 _[24] + 141.42509924045203 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (100.00264670290407 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 100.00264670290407 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.42509924045203 _[29] + 141.42509924045203 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 100.00264670290407 _[30] + 200.00529340580817 _[32] + 100.00264670290407 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.42509924045203 _[33] + 141.42509924045203 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 100.00264670290407 _[36] - _[145])x₂⁴ is SOS (84.00264670290407 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5916214818225 _[29] - 44 _[30] + 237.5916214818225 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 68.99735329709593 _[30] + 280.0142853498728 _[31] - 137.99470659419188 _[32] + 186.67619023324855 _[33] - 68.99735329709593 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0911882059339 _[33] - 264 _[34] + 526.0911882059339 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 155.9973532970959 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (99.00264670290407 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.85150611164488 _[2] + 40 _[3] + 183.85150611164488 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 0.002646702904073095 _[3] - 212.13203435596427 _[4] + 0.00529340580814619 _[5] + 0.002646702904073095 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.42509924045203 _[6] + 141.42509924045203 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 100.00264670290407 _[9] - _[85])x₂⁴ is SOS (100.00264670290407 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.42509924045203 _[2] + 141.42509924045203 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (100.00264670290407 _[3] + 200.00529340580817 _[5] + 100.00264670290407 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.42509924045203 _[6] + 141.42509924045203 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (100.00264670290407 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 100.00264670290407 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.42509924045203 _[11] + 141.42509924045203 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 100.00264670290407 _[12] + 200.00529340580817 _[14] + 100.00264670290407 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.42509924045203 _[15] + 141.42509924045203 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 100.00264670290407 _[18] - _[105])x₂⁴ is SOS (100.00264670290407 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.42509924045203 _[11] + 141.42509924045203 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (100.00264670290407 _[12] + 200.00529340580817 _[14] + 100.00264670290407 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.42509924045203 _[15] + 141.42509924045203 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (100.00264670290407 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (100.00264670290407 _[19] - _[117])x₁⁴ + (141.42509924045203 _[20] + 141.42509924045203 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (100.00264670290407 _[21] + 200.00529340580817 _[23] + 100.00264670290407 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.42509924045203 _[24] + 141.42509924045203 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 100.00264670290407 _[27] - _[125])x₂⁴ is SOS (100.00264670290407 _[19] - _[127])x₁⁴ + (141.42509924045203 _[20] + 141.42509924045203 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (100.00264670290407 _[21] + 200.00529340580817 _[23] + 100.00264670290407 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.42509924045203 _[24] + 141.42509924045203 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (100.00264670290407 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 100.00264670290407 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.42509924045203 _[29] + 141.42509924045203 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 100.00264670290407 _[30] + 200.00529340580817 _[32] + 100.00264670290407 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.42509924045203 _[33] + 141.42509924045203 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 100.00264670290407 _[36] - _[145])x₂⁴ is SOS (84.00264670290407 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5916214818225 _[29] - 44 _[30] + 237.5916214818225 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 68.99735329709593 _[30] + 280.0142853498728 _[31] - 137.99470659419188 _[32] + 186.67619023324855 _[33] - 68.99735329709593 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0911882059339 _[33] - 264 _[34] + 526.0911882059339 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 155.9973532970959 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 2.22740e-02 3.1622985839843754 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.98990839122797 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.8334914185108 _[2] + 40 _[3] + 183.8334914185108 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.010091608772029304 _[3] - 212.13203435596427 _[4] - 0.02018321754408703 _[5] - 0.010091608772029304 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.40708454731794 _[6] + 141.40708454731794 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.98990839122797 _[9] - _[85])x₂⁴ is SOS (99.98990839122797 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.40708454731794 _[2] + 141.40708454731794 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.98990839122797 _[3] + 199.97981678245594 _[5] + 99.98990839122797 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.40708454731794 _[6] + 141.40708454731794 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.98990839122797 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.98990839122797 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.40708454731794 _[11] + 141.40708454731794 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.98990839122797 _[12] + 199.97981678245594 _[14] + 99.98990839122797 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.40708454731794 _[15] + 141.40708454731794 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.98990839122797 _[18] - _[105])x₂⁴ is SOS (99.98990839122797 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.40708454731794 _[11] + 141.40708454731794 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.98990839122797 _[12] + 199.97981678245594 _[14] + 99.98990839122797 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.40708454731794 _[15] + 141.40708454731794 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.98990839122797 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.98990839122797 _[19] - _[117])x₁⁴ + (141.40708454731794 _[20] + 141.40708454731794 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.98990839122797 _[21] + 199.97981678245594 _[23] + 99.98990839122797 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.40708454731794 _[24] + 141.40708454731794 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.98990839122797 _[27] - _[125])x₂⁴ is SOS (99.98990839122797 _[19] - _[127])x₁⁴ + (141.40708454731794 _[20] + 141.40708454731794 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.98990839122797 _[21] + 199.97981678245594 _[23] + 99.98990839122797 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.40708454731794 _[24] + 141.40708454731794 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.98990839122797 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.98990839122797 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.40708454731794 _[29] + 141.40708454731794 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.98990839122797 _[30] + 199.97981678245594 _[32] + 99.98990839122797 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.40708454731794 _[33] + 141.40708454731794 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.98990839122797 _[36] - _[145])x₂⁴ is SOS (83.98990839122797 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5736067886884 _[29] - 44 _[30] + 237.5736067886884 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.01009160877203 _[30] + 280.0142853498728 _[31] - 138.02018321754412 _[32] + 186.67619023324855 _[33] - 69.01009160877203 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0731735127998 _[33] - 264 _[34] + 526.0731735127998 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.01009160877203 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.98990839122797 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.8334914185108 _[2] + 40 _[3] + 183.8334914185108 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.010091608772029304 _[3] - 212.13203435596427 _[4] - 0.02018321754408703 _[5] - 0.010091608772029304 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.40708454731794 _[6] + 141.40708454731794 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.98990839122797 _[9] - _[85])x₂⁴ is SOS (99.98990839122797 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.40708454731794 _[2] + 141.40708454731794 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.98990839122797 _[3] + 199.97981678245594 _[5] + 99.98990839122797 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.40708454731794 _[6] + 141.40708454731794 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.98990839122797 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.98990839122797 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.40708454731794 _[11] + 141.40708454731794 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.98990839122797 _[12] + 199.97981678245594 _[14] + 99.98990839122797 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.40708454731794 _[15] + 141.40708454731794 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.98990839122797 _[18] - _[105])x₂⁴ is SOS (99.98990839122797 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.40708454731794 _[11] + 141.40708454731794 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.98990839122797 _[12] + 199.97981678245594 _[14] + 99.98990839122797 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.40708454731794 _[15] + 141.40708454731794 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.98990839122797 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.98990839122797 _[19] - _[117])x₁⁴ + (141.40708454731794 _[20] + 141.40708454731794 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.98990839122797 _[21] + 199.97981678245594 _[23] + 99.98990839122797 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.40708454731794 _[24] + 141.40708454731794 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.98990839122797 _[27] - _[125])x₂⁴ is SOS (99.98990839122797 _[19] - _[127])x₁⁴ + (141.40708454731794 _[20] + 141.40708454731794 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.98990839122797 _[21] + 199.97981678245594 _[23] + 99.98990839122797 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.40708454731794 _[24] + 141.40708454731794 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.98990839122797 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.98990839122797 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.40708454731794 _[29] + 141.40708454731794 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.98990839122797 _[30] + 199.97981678245594 _[32] + 99.98990839122797 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.40708454731794 _[33] + 141.40708454731794 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.98990839122797 _[36] - _[145])x₂⁴ is SOS (83.98990839122797 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5736067886884 _[29] - 44 _[30] + 237.5736067886884 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.01009160877203 _[30] + 280.0142853498728 _[31] - 138.02018321754412 _[32] + 186.67619023324855 _[33] - 69.01009160877203 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0731735127998 _[33] - 264 _[34] + 526.0731735127998 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.01009160877203 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.23000e-02 3.1621978759765628 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99627739493734 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.84249854993539 _[2] + 40 _[3] + 183.84249854993539 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.003722605062662865 _[3] - 212.13203435596427 _[4] - 0.00744521012532573 _[5] - 0.003722605062662865 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41609167874253 _[6] + 141.41609167874253 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99627739493734 _[9] - _[85])x₂⁴ is SOS (99.99627739493734 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41609167874253 _[2] + 141.41609167874253 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99627739493734 _[3] + 199.9925547898747 _[5] + 99.99627739493734 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41609167874253 _[6] + 141.41609167874253 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99627739493734 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99627739493734 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41609167874253 _[11] + 141.41609167874253 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99627739493734 _[12] + 199.9925547898747 _[14] + 99.99627739493734 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41609167874253 _[15] + 141.41609167874253 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99627739493734 _[18] - _[105])x₂⁴ is SOS (99.99627739493734 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41609167874253 _[11] + 141.41609167874253 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99627739493734 _[12] + 199.9925547898747 _[14] + 99.99627739493734 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41609167874253 _[15] + 141.41609167874253 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99627739493734 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99627739493734 _[19] - _[117])x₁⁴ + (141.41609167874253 _[20] + 141.41609167874253 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99627739493734 _[21] + 199.9925547898747 _[23] + 99.99627739493734 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41609167874253 _[24] + 141.41609167874253 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99627739493734 _[27] - _[125])x₂⁴ is SOS (99.99627739493734 _[19] - _[127])x₁⁴ + (141.41609167874253 _[20] + 141.41609167874253 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99627739493734 _[21] + 199.9925547898747 _[23] + 99.99627739493734 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41609167874253 _[24] + 141.41609167874253 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99627739493734 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99627739493734 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41609167874253 _[29] + 141.41609167874253 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99627739493734 _[30] + 199.9925547898747 _[32] + 99.99627739493734 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41609167874253 _[33] + 141.41609167874253 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99627739493734 _[36] - _[145])x₂⁴ is SOS (83.99627739493734 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.582613920113 _[29] - 44 _[30] + 237.582613920113 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00372260506266 _[30] + 280.0142853498728 _[31] - 138.00744521012535 _[32] + 186.67619023324855 _[33] - 69.00372260506266 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0821806442244 _[33] - 264 _[34] + 526.0821806442244 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00372260506265 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99627739493734 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.84249854993539 _[2] + 40 _[3] + 183.84249854993539 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.003722605062662865 _[3] - 212.13203435596427 _[4] - 0.00744521012532573 _[5] - 0.003722605062662865 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41609167874253 _[6] + 141.41609167874253 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99627739493734 _[9] - _[85])x₂⁴ is SOS (99.99627739493734 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41609167874253 _[2] + 141.41609167874253 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99627739493734 _[3] + 199.9925547898747 _[5] + 99.99627739493734 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41609167874253 _[6] + 141.41609167874253 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99627739493734 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99627739493734 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41609167874253 _[11] + 141.41609167874253 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99627739493734 _[12] + 199.9925547898747 _[14] + 99.99627739493734 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41609167874253 _[15] + 141.41609167874253 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99627739493734 _[18] - _[105])x₂⁴ is SOS (99.99627739493734 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41609167874253 _[11] + 141.41609167874253 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99627739493734 _[12] + 199.9925547898747 _[14] + 99.99627739493734 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41609167874253 _[15] + 141.41609167874253 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99627739493734 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99627739493734 _[19] - _[117])x₁⁴ + (141.41609167874253 _[20] + 141.41609167874253 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99627739493734 _[21] + 199.9925547898747 _[23] + 99.99627739493734 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41609167874253 _[24] + 141.41609167874253 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99627739493734 _[27] - _[125])x₂⁴ is SOS (99.99627739493734 _[19] - _[127])x₁⁴ + (141.41609167874253 _[20] + 141.41609167874253 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99627739493734 _[21] + 199.9925547898747 _[23] + 99.99627739493734 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41609167874253 _[24] + 141.41609167874253 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99627739493734 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99627739493734 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41609167874253 _[29] + 141.41609167874253 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99627739493734 _[30] + 199.9925547898747 _[32] + 99.99627739493734 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41609167874253 _[33] + 141.41609167874253 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99627739493734 _[36] - _[145])x₂⁴ is SOS (83.99627739493734 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.582613920113 _[29] - 44 _[30] + 237.582613920113 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00372260506266 _[30] + 280.0142853498728 _[31] - 138.00744521012535 _[32] + 186.67619023324855 _[33] - 69.00372260506266 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0821806442244 _[33] - 264 _[34] + 526.0821806442244 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00372260506265 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : SLOW_PROGRESS │ ├ result_count : 1 │ └ raw_status : Stuck at edge of primal feasibility. ├ Solution (result = 1) │ ├ primal_status : UNKNOWN_RESULT_STATUS │ ├ dual_status : UNKNOWN_RESULT_STATUS │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 1.29957e-01 3.1622482299804693 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99309285505105 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.83799493043827 _[2] + 40 _[3] + 183.83799493043827 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.006907144948954169 _[3] - 212.13203435596427 _[4] - 0.013814289897908338 _[5] - 0.006907144948954169 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41158805924542 _[6] + 141.41158805924542 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99309285505105 _[9] - _[85])x₂⁴ is SOS (99.99309285505105 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41158805924542 _[2] + 141.41158805924542 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99309285505105 _[3] + 199.98618571010212 _[5] + 99.99309285505105 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41158805924542 _[6] + 141.41158805924542 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99309285505105 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99309285505105 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41158805924542 _[11] + 141.41158805924542 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99309285505105 _[12] + 199.98618571010212 _[14] + 99.99309285505105 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41158805924542 _[15] + 141.41158805924542 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99309285505105 _[18] - _[105])x₂⁴ is SOS (99.99309285505105 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41158805924542 _[11] + 141.41158805924542 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99309285505105 _[12] + 199.98618571010212 _[14] + 99.99309285505105 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41158805924542 _[15] + 141.41158805924542 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99309285505105 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99309285505105 _[19] - _[117])x₁⁴ + (141.41158805924542 _[20] + 141.41158805924542 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99309285505105 _[21] + 199.98618571010212 _[23] + 99.99309285505105 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41158805924542 _[24] + 141.41158805924542 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99309285505105 _[27] - _[125])x₂⁴ is SOS (99.99309285505105 _[19] - _[127])x₁⁴ + (141.41158805924542 _[20] + 141.41158805924542 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99309285505105 _[21] + 199.98618571010212 _[23] + 99.99309285505105 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41158805924542 _[24] + 141.41158805924542 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99309285505105 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99309285505105 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41158805924542 _[29] + 141.41158805924542 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99309285505105 _[30] + 199.98618571010212 _[32] + 99.99309285505105 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41158805924542 _[33] + 141.41158805924542 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99309285505105 _[36] - _[145])x₂⁴ is SOS (83.99309285505105 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5781103006159 _[29] - 44 _[30] + 237.5781103006159 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00690714494895 _[30] + 280.0142853498728 _[31] - 138.01381428989794 _[32] + 186.67619023324855 _[33] - 69.00690714494895 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0776770247273 _[33] - 264 _[34] + 526.0776770247273 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00690714494897 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99309285505105 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.83799493043827 _[2] + 40 _[3] + 183.83799493043827 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.006907144948954169 _[3] - 212.13203435596427 _[4] - 0.013814289897908338 _[5] - 0.006907144948954169 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41158805924542 _[6] + 141.41158805924542 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99309285505105 _[9] - _[85])x₂⁴ is SOS (99.99309285505105 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41158805924542 _[2] + 141.41158805924542 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99309285505105 _[3] + 199.98618571010212 _[5] + 99.99309285505105 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41158805924542 _[6] + 141.41158805924542 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99309285505105 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99309285505105 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41158805924542 _[11] + 141.41158805924542 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99309285505105 _[12] + 199.98618571010212 _[14] + 99.99309285505105 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41158805924542 _[15] + 141.41158805924542 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99309285505105 _[18] - _[105])x₂⁴ is SOS (99.99309285505105 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41158805924542 _[11] + 141.41158805924542 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99309285505105 _[12] + 199.98618571010212 _[14] + 99.99309285505105 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41158805924542 _[15] + 141.41158805924542 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99309285505105 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99309285505105 _[19] - _[117])x₁⁴ + (141.41158805924542 _[20] + 141.41158805924542 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99309285505105 _[21] + 199.98618571010212 _[23] + 99.99309285505105 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41158805924542 _[24] + 141.41158805924542 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99309285505105 _[27] - _[125])x₂⁴ is SOS (99.99309285505105 _[19] - _[127])x₁⁴ + (141.41158805924542 _[20] + 141.41158805924542 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99309285505105 _[21] + 199.98618571010212 _[23] + 99.99309285505105 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41158805924542 _[24] + 141.41158805924542 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99309285505105 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99309285505105 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41158805924542 _[29] + 141.41158805924542 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99309285505105 _[30] + 199.98618571010212 _[32] + 99.99309285505105 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41158805924542 _[33] + 141.41158805924542 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99309285505105 _[36] - _[145])x₂⁴ is SOS (83.99309285505105 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5781103006159 _[29] - 44 _[30] + 237.5781103006159 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00690714494895 _[30] + 280.0142853498728 _[31] - 138.01381428989794 _[32] + 186.67619023324855 _[33] - 69.00690714494895 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0776770247273 _[33] - 264 _[34] + 526.0776770247273 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00690714494897 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.54631e-02 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99786969340448 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.84475040002297 _[2] + 40 _[3] + 183.84475040002297 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.00213030659551805 _[3] - 212.13203435596427 _[4] - 0.0042606131910361 _[5] - 0.00213030659551805 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41834352883012 _[6] + 141.41834352883012 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99786969340448 _[9] - _[85])x₂⁴ is SOS (99.99786969340448 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41834352883012 _[2] + 141.41834352883012 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99786969340448 _[3] + 199.995739386809 _[5] + 99.99786969340448 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41834352883012 _[6] + 141.41834352883012 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99786969340448 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99786969340448 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41834352883012 _[11] + 141.41834352883012 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99786969340448 _[12] + 199.995739386809 _[14] + 99.99786969340448 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41834352883012 _[15] + 141.41834352883012 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99786969340448 _[18] - _[105])x₂⁴ is SOS (99.99786969340448 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41834352883012 _[11] + 141.41834352883012 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99786969340448 _[12] + 199.995739386809 _[14] + 99.99786969340448 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41834352883012 _[15] + 141.41834352883012 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99786969340448 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99786969340448 _[19] - _[117])x₁⁴ + (141.41834352883012 _[20] + 141.41834352883012 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99786969340448 _[21] + 199.995739386809 _[23] + 99.99786969340448 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41834352883012 _[24] + 141.41834352883012 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99786969340448 _[27] - _[125])x₂⁴ is SOS (99.99786969340448 _[19] - _[127])x₁⁴ + (141.41834352883012 _[20] + 141.41834352883012 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99786969340448 _[21] + 199.995739386809 _[23] + 99.99786969340448 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41834352883012 _[24] + 141.41834352883012 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99786969340448 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99786969340448 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41834352883012 _[29] + 141.41834352883012 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99786969340448 _[30] + 199.995739386809 _[32] + 99.99786969340448 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41834352883012 _[33] + 141.41834352883012 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99786969340448 _[36] - _[145])x₂⁴ is SOS (83.99786969340448 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5848657702006 _[29] - 44 _[30] + 237.5848657702006 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00213030659552 _[30] + 280.0142853498728 _[31] - 138.00426061319106 _[32] + 186.67619023324855 _[33] - 69.00213030659552 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0844324943121 _[33] - 264 _[34] + 526.0844324943121 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00213030659552 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99786969340448 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.84475040002297 _[2] + 40 _[3] + 183.84475040002297 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.00213030659551805 _[3] - 212.13203435596427 _[4] - 0.0042606131910361 _[5] - 0.00213030659551805 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.41834352883012 _[6] + 141.41834352883012 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99786969340448 _[9] - _[85])x₂⁴ is SOS (99.99786969340448 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.41834352883012 _[2] + 141.41834352883012 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99786969340448 _[3] + 199.995739386809 _[5] + 99.99786969340448 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.41834352883012 _[6] + 141.41834352883012 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99786969340448 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99786969340448 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.41834352883012 _[11] + 141.41834352883012 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99786969340448 _[12] + 199.995739386809 _[14] + 99.99786969340448 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.41834352883012 _[15] + 141.41834352883012 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99786969340448 _[18] - _[105])x₂⁴ is SOS (99.99786969340448 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.41834352883012 _[11] + 141.41834352883012 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99786969340448 _[12] + 199.995739386809 _[14] + 99.99786969340448 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.41834352883012 _[15] + 141.41834352883012 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99786969340448 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99786969340448 _[19] - _[117])x₁⁴ + (141.41834352883012 _[20] + 141.41834352883012 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99786969340448 _[21] + 199.995739386809 _[23] + 99.99786969340448 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.41834352883012 _[24] + 141.41834352883012 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99786969340448 _[27] - _[125])x₂⁴ is SOS (99.99786969340448 _[19] - _[127])x₁⁴ + (141.41834352883012 _[20] + 141.41834352883012 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99786969340448 _[21] + 199.995739386809 _[23] + 99.99786969340448 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.41834352883012 _[24] + 141.41834352883012 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99786969340448 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99786969340448 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.41834352883012 _[29] + 141.41834352883012 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99786969340448 _[30] + 199.995739386809 _[32] + 99.99786969340448 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.41834352883012 _[33] + 141.41834352883012 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99786969340448 _[36] - _[145])x₂⁴ is SOS (83.99786969340448 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.5848657702006 _[29] - 44 _[30] + 237.5848657702006 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00213030659552 _[30] + 280.0142853498728 _[31] - 138.00426061319106 _[32] + 186.67619023324855 _[33] - 69.00213030659552 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0844324943121 _[33] - 264 _[34] + 526.0844324943121 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00213030659552 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 5.77230e-02 3.1622608184814456 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (99.00025817676078 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.84812822557896 _[2] + 40 _[3] + 183.84812822557896 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 0.00025817676078077056 _[3] - 212.13203435596427 _[4] + 0.0005163535215615411 _[5] + 0.00025817676078077056 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.4217213543861 _[6] + 141.4217213543861 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 100.00025817676078 _[9] - _[85])x₂⁴ is SOS (100.00025817676078 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.4217213543861 _[2] + 141.4217213543861 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (100.00025817676078 _[3] + 200.0005163535216 _[5] + 100.00025817676078 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.4217213543861 _[6] + 141.4217213543861 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (100.00025817676078 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 100.00025817676078 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.4217213543861 _[11] + 141.4217213543861 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 100.00025817676078 _[12] + 200.0005163535216 _[14] + 100.00025817676078 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.4217213543861 _[15] + 141.4217213543861 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 100.00025817676078 _[18] - _[105])x₂⁴ is SOS (100.00025817676078 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.4217213543861 _[11] + 141.4217213543861 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (100.00025817676078 _[12] + 200.0005163535216 _[14] + 100.00025817676078 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.4217213543861 _[15] + 141.4217213543861 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (100.00025817676078 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (100.00025817676078 _[19] - _[117])x₁⁴ + (141.4217213543861 _[20] + 141.4217213543861 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (100.00025817676078 _[21] + 200.0005163535216 _[23] + 100.00025817676078 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.4217213543861 _[24] + 141.4217213543861 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 100.00025817676078 _[27] - _[125])x₂⁴ is SOS (100.00025817676078 _[19] - _[127])x₁⁴ + (141.4217213543861 _[20] + 141.4217213543861 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (100.00025817676078 _[21] + 200.0005163535216 _[23] + 100.00025817676078 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.4217213543861 _[24] + 141.4217213543861 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (100.00025817676078 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 100.00025817676078 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.4217213543861 _[29] + 141.4217213543861 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 100.00025817676078 _[30] + 200.0005163535216 _[32] + 100.00025817676078 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.4217213543861 _[33] + 141.4217213543861 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 100.00025817676078 _[36] - _[145])x₂⁴ is SOS (84.00025817676078 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.58824359575658 _[29] - 44 _[30] + 237.58824359575658 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 68.99974182323922 _[30] + 280.0142853498728 _[31] - 137.99948364647847 _[32] + 186.67619023324855 _[33] - 68.99974182323922 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.087810319868 _[33] - 264 _[34] + 526.087810319868 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 155.99974182323922 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (99.00025817676078 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.84812822557896 _[2] + 40 _[3] + 183.84812822557896 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] + 0.00025817676078077056 _[3] - 212.13203435596427 _[4] + 0.0005163535215615411 _[5] + 0.00025817676078077056 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.4217213543861 _[6] + 141.4217213543861 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 100.00025817676078 _[9] - _[85])x₂⁴ is SOS (100.00025817676078 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.4217213543861 _[2] + 141.4217213543861 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (100.00025817676078 _[3] + 200.0005163535216 _[5] + 100.00025817676078 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.4217213543861 _[6] + 141.4217213543861 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (100.00025817676078 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 100.00025817676078 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.4217213543861 _[11] + 141.4217213543861 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 100.00025817676078 _[12] + 200.0005163535216 _[14] + 100.00025817676078 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.4217213543861 _[15] + 141.4217213543861 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 100.00025817676078 _[18] - _[105])x₂⁴ is SOS (100.00025817676078 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.4217213543861 _[11] + 141.4217213543861 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (100.00025817676078 _[12] + 200.0005163535216 _[14] + 100.00025817676078 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.4217213543861 _[15] + 141.4217213543861 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (100.00025817676078 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (100.00025817676078 _[19] - _[117])x₁⁴ + (141.4217213543861 _[20] + 141.4217213543861 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (100.00025817676078 _[21] + 200.0005163535216 _[23] + 100.00025817676078 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.4217213543861 _[24] + 141.4217213543861 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 100.00025817676078 _[27] - _[125])x₂⁴ is SOS (100.00025817676078 _[19] - _[127])x₁⁴ + (141.4217213543861 _[20] + 141.4217213543861 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (100.00025817676078 _[21] + 200.0005163535216 _[23] + 100.00025817676078 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.4217213543861 _[24] + 141.4217213543861 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (100.00025817676078 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 100.00025817676078 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.4217213543861 _[29] + 141.4217213543861 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 100.00025817676078 _[30] + 200.0005163535216 _[32] + 100.00025817676078 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.4217213543861 _[33] + 141.4217213543861 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 100.00025817676078 _[36] - _[145])x₂⁴ is SOS (84.00025817676078 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.58824359575658 _[29] - 44 _[30] + 237.58824359575658 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 68.99974182323922 _[30] + 280.0142853498728 _[31] - 137.99948364647847 _[32] + 186.67619023324855 _[33] - 68.99974182323922 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.087810319868 _[33] - 264 _[34] + 526.087810319868 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 155.99974182323922 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : OPTIMAL │ ├ result_count : 1 │ └ raw_status : Problem solved to optimality. ├ Solution (result = 1) │ ├ primal_status : FEASIBLE_POINT │ ├ dual_status : FEASIBLE_POINT │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 0.00000e+00 └ Work counters └ solve_time (sec) : 2.65739e-02 3.1622797012329107 Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99906392973425 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.8464393052372 _[2] + 40 _[3] + 183.8464393052372 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.0009360702657517095 _[3] - 212.13203435596427 _[4] - 0.0018721405315318407 _[5] - 0.0009360702657517095 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.42003243404434 _[6] + 141.42003243404434 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99906392973425 _[9] - _[85])x₂⁴ is SOS (99.99906392973425 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.42003243404434 _[2] + 141.42003243404434 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99906392973425 _[3] + 199.9981278594685 _[5] + 99.99906392973425 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.42003243404434 _[6] + 141.42003243404434 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99906392973425 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99906392973425 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.42003243404434 _[11] + 141.42003243404434 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99906392973425 _[12] + 199.9981278594685 _[14] + 99.99906392973425 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.42003243404434 _[15] + 141.42003243404434 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99906392973425 _[18] - _[105])x₂⁴ is SOS (99.99906392973425 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.42003243404434 _[11] + 141.42003243404434 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99906392973425 _[12] + 199.9981278594685 _[14] + 99.99906392973425 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.42003243404434 _[15] + 141.42003243404434 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99906392973425 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99906392973425 _[19] - _[117])x₁⁴ + (141.42003243404434 _[20] + 141.42003243404434 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99906392973425 _[21] + 199.9981278594685 _[23] + 99.99906392973425 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.42003243404434 _[24] + 141.42003243404434 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99906392973425 _[27] - _[125])x₂⁴ is SOS (99.99906392973425 _[19] - _[127])x₁⁴ + (141.42003243404434 _[20] + 141.42003243404434 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99906392973425 _[21] + 199.9981278594685 _[23] + 99.99906392973425 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.42003243404434 _[24] + 141.42003243404434 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99906392973425 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99906392973425 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.42003243404434 _[29] + 141.42003243404434 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99906392973425 _[30] + 199.9981278594685 _[32] + 99.99906392973425 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.42003243404434 _[33] + 141.42003243404434 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99906392973425 _[36] - _[145])x₂⁴ is SOS (83.99906392973425 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.58655467541482 _[29] - 44 _[30] + 237.58655467541482 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00093607026575 _[30] + 280.0142853498728 _[31] - 138.00187214053156 _[32] + 186.67619023324855 _[33] - 69.00093607026575 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0861213995263 _[33] - 264 _[34] + 526.0861213995263 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00093607026577 _[36] - _[155])x₂⁴ is SOS Feasibility Subject to [_[73] - 1] ∈ PSDCone() [_[86] - 1] ∈ PSDCone() [_[96] - 1] ∈ PSDCone() [_[74] - 1] ∈ PSDCone() [_[106] - 1] ∈ PSDCone() [_[116] - 1] ∈ PSDCone() [_[75] - 1] ∈ PSDCone() [_[126] - 1] ∈ PSDCone() [_[136] - 1] ∈ PSDCone() [_[76] - 1] ∈ PSDCone() [_[146] - 1] ∈ PSDCone() [_[156] - 1] ∈ PSDCone() _[37] ≥ 0 _[38] ≥ 0 _[39] ≥ 0 _[40] ≥ 0 _[41] ≥ 0 _[42] ≥ 0 _[43] ≥ 0 _[44] ≥ 0 _[45] ≥ 0 _[46] ≥ 0 _[47] ≥ 0 _[48] ≥ 0 _[49] ≥ 0 _[50] ≥ 0 _[51] ≥ 0 _[52] ≥ 0 _[53] ≥ 0 _[54] ≥ 0 _[55] ≥ 0 _[56] ≥ 0 _[57] ≥ 0 _[58] ≥ 0 _[59] ≥ 0 _[60] ≥ 0 _[61] ≥ 0 _[62] ≥ 0 _[63] ≥ 0 _[64] ≥ 0 _[65] ≥ 0 _[66] ≥ 0 _[67] ≥ 0 _[68] ≥ 0 _[69] ≥ 0 _[70] ≥ 0 _[71] ≥ 0 _[72] ≥ 0 _[77] ≥ 0 _[78] ≥ 0 [[...32 constraints skipped...]] _[114] ≥ 0 _[115] ≥ 0 _[117] ≥ 0 _[118] ≥ 0 _[119] ≥ 0 _[120] ≥ 0 _[121] ≥ 0 _[122] ≥ 0 _[123] ≥ 0 _[124] ≥ 0 _[125] ≥ 0 _[127] ≥ 0 _[128] ≥ 0 _[129] ≥ 0 _[130] ≥ 0 _[131] ≥ 0 _[132] ≥ 0 _[133] ≥ 0 _[134] ≥ 0 _[135] ≥ 0 _[137] ≥ 0 _[138] ≥ 0 _[139] ≥ 0 _[140] ≥ 0 _[141] ≥ 0 _[142] ≥ 0 _[143] ≥ 0 _[144] ≥ 0 _[145] ≥ 0 _[147] ≥ 0 _[148] ≥ 0 _[149] ≥ 0 _[150] ≥ 0 _[151] ≥ 0 _[152] ≥ 0 _[153] ≥ 0 _[154] ≥ 0 _[155] ≥ 0 (_[1] - _[37] - 1)x₁⁴ + (1.4142135623730951 _[2] + 1.4142135623730951 _[4] - 1.4142135623730951 _[38] - 1.4142135623730951 _[40])x₁³x₂ + (_[3] + 2.0000000000000004 _[5] + _[7] - _[39] - 2.0000000000000004 _[41] - _[43] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[6] + 1.4142135623730951 _[8] - 1.4142135623730951 _[42] - 1.4142135623730951 _[44])x₁x₂³ + (_[9] - _[45] - 1)x₂⁴ is SOS (98.99906392973425 _[1] - 2.8284271247461903 _[2] - 4 _[3] - 2.8284271247461903 _[4] - 8.000000000000002 _[5] - 11.313708498984761 _[6] - 4 _[7] - 11.313708498984761 _[8] - 16 _[9] - _[77])x₁⁴ + (20 _[1] + 183.8464393052372 _[2] + 40 _[3] + 183.8464393052372 _[4] + 80.00000000000001 _[5] + 56.568542494923804 _[6] + 40 _[7] + 56.568542494923804 _[8] - 1.4142135623730951 _[78] - 1.4142135623730951 _[80])x₁³x₂ + (-150 _[1] - 212.13203435596427 _[2] - 0.0009360702657517095 _[3] - 212.13203435596427 _[4] - 0.0018721405315318407 _[5] - 0.0009360702657517095 _[7] - _[79] - 2.0000000000000004 _[81] - _[83])x₁²x₂² + (500 _[1] + 353.5533905932738 _[2] + 353.5533905932738 _[4] + 141.42003243404434 _[6] + 141.42003243404434 _[8] - 1.4142135623730951 _[82] - 1.4142135623730951 _[84])x₁x₂³ + (-625 _[1] + 99.99906392973425 _[9] - _[85])x₂⁴ is SOS (99.99906392973425 _[1] - _[19] - 2.8284271247461903 _[20] - 4 _[21] - 2.8284271247461903 _[22] - 8.000000000000002 _[23] - 11.313708498984761 _[24] - 4 _[25] - 11.313708498984761 _[26] - 16 _[27] - _[87])x₁⁴ + (141.42003243404434 _[2] + 141.42003243404434 _[4] + 20 _[19] + 42.42640687119285 _[20] + 40 _[21] + 42.42640687119285 _[22] + 80.00000000000001 _[23] + 56.568542494923804 _[24] + 40 _[25] + 56.568542494923804 _[26] - 1.4142135623730951 _[88] - 1.4142135623730951 _[90])x₁³x₂ + (99.99906392973425 _[3] + 199.9981278594685 _[5] + 99.99906392973425 _[7] - 150 _[19] - 212.13203435596427 _[20] - 100 _[21] - 212.13203435596427 _[22] - 200.00000000000003 _[23] - 100 _[25] - _[89] - 2.0000000000000004 _[91] - _[93])x₁²x₂² + (141.42003243404434 _[6] + 141.42003243404434 _[8] + 500 _[19] + 353.5533905932738 _[20] + 353.5533905932738 _[22] - 1.4142135623730951 _[92] - 1.4142135623730951 _[94])x₁x₂³ + (99.99906392973425 _[9] - 625 _[19] - _[95])x₂⁴ is SOS (_[10] - _[46] - 1)x₁⁴ + (1.4142135623730951 _[11] + 1.4142135623730951 _[13] + 1.4142135623730951 _[47] + 1.4142135623730951 _[49])x₁³x₂ + (_[12] + 2.0000000000000004 _[14] + _[16] - _[48] - 2.0000000000000004 _[50] - _[52] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[15] + 1.4142135623730951 _[17] + 1.4142135623730951 _[51] + 1.4142135623730951 _[53])x₁x₂³ + (_[18] - _[54] - 1)x₂⁴ is SOS (-16 _[1] - 11.313708498984761 _[2] - 4 _[3] - 11.313708498984761 _[4] - 8.000000000000002 _[5] - 2.8284271247461903 _[6] - 4 _[7] - 2.8284271247461903 _[8] - _[9] + 99.99906392973425 _[10] - _[97])x₁⁴ + (96 _[1] + 50.91168824543143 _[2] + 12 _[3] + 50.91168824543143 _[4] + 24.000000000000004 _[5] + 4.242640687119286 _[6] + 12 _[7] + 4.242640687119286 _[8] + 141.42003243404434 _[11] + 141.42003243404434 _[13] + 1.4142135623730951 _[98] + 1.4142135623730951 _[100])x₁³x₂ + (-216 _[1] - 76.36753236814714 _[2] - 9 _[3] - 76.36753236814714 _[4] - 18.000000000000004 _[5] - 9 _[7] + 99.99906392973425 _[12] + 199.9981278594685 _[14] + 99.99906392973425 _[16] - _[99] - 2.0000000000000004 _[101] - _[103])x₁²x₂² + (216 _[1] + 38.18376618407357 _[2] + 38.18376618407357 _[4] + 141.42003243404434 _[15] + 141.42003243404434 _[17] + 1.4142135623730951 _[102] + 1.4142135623730951 _[104])x₁x₂³ + (-81 _[1] + 99.99906392973425 _[18] - _[105])x₂⁴ is SOS (99.99906392973425 _[10] - 16 _[19] - 11.313708498984761 _[20] - 4 _[21] - 11.313708498984761 _[22] - 8.000000000000002 _[23] - 2.8284271247461903 _[24] - 4 _[25] - 2.8284271247461903 _[26] - _[27] - _[107])x₁⁴ + (141.42003243404434 _[11] + 141.42003243404434 _[13] + 96 _[19] + 50.91168824543143 _[20] + 12 _[21] + 50.91168824543143 _[22] + 24.000000000000004 _[23] + 4.242640687119286 _[24] + 12 _[25] + 4.242640687119286 _[26] + 1.4142135623730951 _[108] + 1.4142135623730951 _[110])x₁³x₂ + (99.99906392973425 _[12] + 199.9981278594685 _[14] + 99.99906392973425 _[16] - 216 _[19] - 76.36753236814714 _[20] - 9 _[21] - 76.36753236814714 _[22] - 18.000000000000004 _[23] - 9 _[25] - _[109] - 2.0000000000000004 _[111] - _[113])x₁²x₂² + (141.42003243404434 _[15] + 141.42003243404434 _[17] + 216 _[19] + 38.18376618407357 _[20] + 38.18376618407357 _[22] + 1.4142135623730951 _[112] + 1.4142135623730951 _[114])x₁x₂³ + (99.99906392973425 _[18] - 81 _[19] - _[115])x₂⁴ is SOS (_[19] - _[55] - 1)x₁⁴ + (1.4142135623730951 _[20] + 1.4142135623730951 _[22] + 1.4142135623730951 _[56] + 1.4142135623730951 _[58])x₁³x₂ + (_[21] + 2.0000000000000004 _[23] + _[25] - _[57] - 2.0000000000000004 _[59] - _[61] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[24] + 1.4142135623730951 _[26] + 1.4142135623730951 _[60] + 1.4142135623730951 _[62])x₁x₂³ + (_[27] - _[63] - 1)x₂⁴ is SOS (99.99906392973425 _[19] - _[117])x₁⁴ + (141.42003243404434 _[20] + 141.42003243404434 _[22] + 1.4142135623730951 _[118] + 1.4142135623730951 _[120])x₁³x₂ + (99.99906392973425 _[21] + 199.9981278594685 _[23] + 99.99906392973425 _[25] - _[119] - 2.0000000000000004 _[121] - _[123])x₁²x₂² + (141.42003243404434 _[24] + 141.42003243404434 _[26] + 1.4142135623730951 _[122] + 1.4142135623730951 _[124])x₁x₂³ + (-_[10] + 1.4142135623730951 _[11] - _[12] + 1.4142135623730951 _[13] - 2.0000000000000004 _[14] + 1.4142135623730951 _[15] - _[16] + 1.4142135623730951 _[17] - _[18] + 99.99906392973425 _[27] - _[125])x₂⁴ is SOS (99.99906392973425 _[19] - _[127])x₁⁴ + (141.42003243404434 _[20] + 141.42003243404434 _[22] + 1.4142135623730951 _[128] + 1.4142135623730951 _[130])x₁³x₂ + (99.99906392973425 _[21] + 199.9981278594685 _[23] + 99.99906392973425 _[25] - _[129] - 2.0000000000000004 _[131] - _[133])x₁²x₂² + (141.42003243404434 _[24] + 141.42003243404434 _[26] + 1.4142135623730951 _[132] + 1.4142135623730951 _[134])x₁x₂³ + (99.99906392973425 _[27] - _[28] + 1.4142135623730951 _[29] - _[30] + 1.4142135623730951 _[31] - 2.0000000000000004 _[32] + 1.4142135623730951 _[33] - _[34] + 1.4142135623730951 _[35] - _[36] - _[135])x₂⁴ is SOS (_[28] - _[64] - 1)x₁⁴ + (1.4142135623730951 _[29] + 1.4142135623730951 _[31] - 1.4142135623730951 _[65] - 1.4142135623730951 _[67])x₁³x₂ + (_[30] + 2.0000000000000004 _[32] + _[34] - _[66] - 2.0000000000000004 _[68] - _[70] - 2.0000000000000004)x₁²x₂² + (1.4142135623730951 _[33] + 1.4142135623730951 _[35] - 1.4142135623730951 _[69] - 1.4142135623730951 _[71])x₁x₂³ + (_[36] - _[72] - 1)x₂⁴ is SOS (-16 _[10] + 11.313708498984761 _[11] - 4 _[12] + 11.313708498984761 _[13] - 8.000000000000002 _[14] + 2.8284271247461903 _[15] - 4 _[16] + 2.8284271247461903 _[17] - _[18] + 99.99906392973425 _[28] - _[137])x₁⁴ + (-96 _[10] + 96.16652224137047 _[11] - 44 _[12] + 96.16652224137047 _[13] - 88.00000000000001 _[14] + 38.18376618407357 _[15] - 44 _[16] + 38.18376618407357 _[17] - 16 _[18] + 141.42003243404434 _[29] + 141.42003243404434 _[31] - 1.4142135623730951 _[138] - 1.4142135623730951 _[140])x₁³x₂ + (-216 _[10] + 280.0142853498728 _[11] - 169 _[12] + 280.0142853498728 _[13] - 338.00000000000006 _[14] + 186.67619023324855 _[15] - 169 _[16] + 186.67619023324855 _[17] - 96 _[18] + 99.99906392973425 _[30] + 199.9981278594685 _[32] + 99.99906392973425 _[34] - _[139] - 2.0000000000000004 _[141] - _[143])x₁²x₂² + (-216 _[10] + 343.65389565666214 _[11] - 264 _[12] + 343.65389565666214 _[13] - 528.0000000000001 _[14] + 384.6660889654819 _[15] - 264 _[16] + 384.6660889654819 _[17] - 256 _[18] + 141.42003243404434 _[33] + 141.42003243404434 _[35] - 1.4142135623730951 _[142] - 1.4142135623730951 _[144])x₁x₂³ + (-81 _[10] + 152.73506473629428 _[11] - 144 _[12] + 152.73506473629428 _[13] - 288.00000000000006 _[14] + 271.5290039756343 _[15] - 144 _[16] + 271.5290039756343 _[17] - 256 _[18] + 99.99906392973425 _[36] - _[145])x₂⁴ is SOS (83.99906392973425 _[28] + 11.313708498984761 _[29] - 4 _[30] + 11.313708498984761 _[31] - 8.000000000000002 _[32] + 2.8284271247461903 _[33] - 4 _[34] + 2.8284271247461903 _[35] - _[36] - _[147])x₁⁴ + (-96 _[28] + 237.58655467541482 _[29] - 44 _[30] + 237.58655467541482 _[31] - 88.00000000000001 _[32] + 38.18376618407357 _[33] - 44 _[34] + 38.18376618407357 _[35] - 16 _[36] - 1.4142135623730951 _[148] - 1.4142135623730951 _[150])x₁³x₂ + (-216 _[28] + 280.0142853498728 _[29] - 69.00093607026575 _[30] + 280.0142853498728 _[31] - 138.00187214053156 _[32] + 186.67619023324855 _[33] - 69.00093607026575 _[34] + 186.67619023324855 _[35] - 96 _[36] - _[149] - 2.0000000000000004 _[151] - _[153])x₁²x₂² + (-216 _[28] + 343.65389565666214 _[29] - 264 _[30] + 343.65389565666214 _[31] - 528.0000000000001 _[32] + 526.0861213995263 _[33] - 264 _[34] + 526.0861213995263 _[35] - 256 _[36] - 1.4142135623730951 _[152] - 1.4142135623730951 _[154])x₁x₂³ + (-81 _[28] + 152.73506473629428 _[29] - 144 _[30] + 152.73506473629428 _[31] - 288.00000000000006 _[32] + 271.5290039756343 _[33] - 144 _[34] + 271.5290039756343 _[35] - 156.00093607026577 _[36] - _[155])x₂⁴ is SOS JuMP.solution_summary(model, verbose = true) = solution_summary(; result = 1, verbose = true) ├ solver_name : CSDP ├ Termination │ ├ termination_status : INFEASIBLE │ ├ result_count : 1 │ └ raw_status : Problem is primal infeasible. ├ Solution (result = 1) │ ├ primal_status : INFEASIBLE_POINT │ ├ dual_status : INFEASIBILITY_CERTIFICATE │ ├ objective_value : 0.00000e+00 │ └ dual_objective_value : 1.00000e+00 └ Work counters └ solve_time (sec) : 6.11470e-02 3.162270259857178 Test Summary: | Pass Total Time SDP program | 5 5 0.0s Test Summary: | Pass Total Time SOS program | 4 4 2.0s Test Summary: | Pass Total Time (C)JSR calculation | 2 2 1m43.2s Testing ThresholdStability tests passed Testing completed after 381.44s PkgEval succeeded after 1043.14s