Package evaluation to test Chevie on Julia 1.14.0-DEV.1699 (993b392fda*) started at 2026-02-13T23:32:37.944 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 10.01s ################################################################################ # Installation # Installing Chevie... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [367f69f0] + Chevie v0.1.12 Updating `~/.julia/environments/v1.14/Manifest.toml` [36d08e8a] + AbstractPermutations v0.3.3 [367f69f0] + Chevie v0.1.12 [a6b051d1] + Combinat v0.1.5 [05fb067e] + CycPols v0.1.4 [c380f8b6] + CyclotomicNumbers v0.1.10 [bbb6641c] + FiniteFields v0.1.2 [580d1d9c] + FinitePosets v0.1.5 [2304d612] + GenLinearAlgebra v0.1.3 [a98d1166] + GenericDecMats v0.1.2 [e70aea02] + GroupPresentations v0.1.1 [d5909c97] + GroupsCore v0.5.2 [18e54dd8] + IntegerMathUtils v0.1.3 ⌅ [682c06a0] + JSON v0.21.4 [b964fa9f] + LaTeXStrings v1.4.0 [10b2801c] + LaurentPolynomials v0.1.7 [f23b31af] + MatInt v0.1.3 [4249f315] + ModuleElts v0.1.5 [bac558e1] + OrderedCollections v1.8.1 [69de0a69] + Parsers v2.8.3 [0b63354f] + PermGroups v0.2.19 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.1 [27ebfcd6] + Primes v0.5.7 [f53aee1f] + PuiseuxPolynomials v0.1.9 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [87930f55] + SignedPerms v0.1.2 [b01ca8d2] + UsingMerge v0.0.7 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [f43a241f] + Downloads v1.7.0 [7b1f6079] + FileWatching v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.13.0 [b27032c2] + LibCURL v1.0.0 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.14.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.13.0 [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [deac9b47] + LibCURL_jll v8.18.0+0 [e37daf67] + LibGit2_jll v1.9.2+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [14a3606d] + MozillaCACerts_jll v2025.12.2 [4536629a] + OpenBLAS_jll v0.3.30+0 [458c3c95] + OpenSSL_jll v3.5.5+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.1+2 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.68.0+1 [3f19e933] + p7zip_jll v17.7.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 4.2s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... # CyclotomicNumbers adds 1 method to LaurentPolynomials.coefficients # CyclotomicNumbers adds 1 method to Perms.order # CyclotomicNumbers adds 8 methods to LaurentPolynomials.root # FiniteFields adds 2 methods to LaurentPolynomials.degree # FiniteFields adds 1 method to Groups.elements # FiniteFields adds 2 methods to Perms.order reading Chevie data: for G(de,e,n) 17.419 seconds for Aₙ 0.090 seconds for Bₙ and Cₙ 0.152 seconds for Dₙ 0.395 seconds for ³D₄ 1.566 seconds for ²Aₙ 0.048 seconds for ²Dₙ 0.088 seconds for ᵗG(e,e,n) 0.040 seconds for G₂ 1.023 seconds for I₂(e) 0.133 seconds for ²I₂(e) 0.139 seconds for G₄-G₂₂ 44.849 seconds for H₃ 2.106 seconds for G₂₄ 6.486 seconds for G₂₅ 53.532 seconds for G₂₆ 2.965 seconds for G₂₇ 5.534 seconds for F₄ 5.086 seconds for ²F₄ 2.092 seconds for G₂₉ 5.978 seconds for H₄ 20.282 seconds for G₃₁ 3.389 seconds for G₃₂ 28.504 seconds for G₃₃ 3.808 seconds for G₃₄ 17.20 seconds for E₆ 1.673 seconds for ²E₆ 0.400 seconds for E₇ 3.051 seconds for E₈ 3.618 seconds for several groups 14.762 seconds 294334.4 ms ✓ Chevie 1 dependency successfully precompiled in 295 seconds. 60 already precompiled. 1 dependency had output during precompilation: ┌ Chevie │ # CyclotomicNumbers adds 1 method to LaurentPolynomials.coefficients │ # CyclotomicNumbers adds 1 method to Perms.order │ # CyclotomicNumbers adds 8 methods to LaurentPolynomials.root │ # FiniteFields adds 2 methods to LaurentPolynomials.degree │ # FiniteFields adds 1 method to Groups.elements │ # FiniteFields adds 2 methods to Perms.order │ reading Chevie data: │ for G(de,e,n) 17.419 seconds │ for Aₙ 0.090 seconds │ for Bₙ and Cₙ 0.152 seconds │ for Dₙ 0.395 seconds │ for ³D₄ 1.566 seconds │ for ²Aₙ 0.048 seconds │ for ²Dₙ 0.088 seconds │ for ᵗG(e,e,n) 0.040 seconds │ for G₂ 1.023 seconds │ for I₂(e) 0.133 seconds │ for ²I₂(e) 0.139 seconds │ for G₄-G₂₂ 44.849 seconds │ for H₃ 2.106 seconds │ for G₂₄ 6.486 seconds │ for G₂₅ 53.532 seconds │ for G₂₆ 2.965 seconds │ for G₂₇ 5.534 seconds │ for F₄ 5.086 seconds │ for ²F₄ 2.092 seconds │ for G₂₉ 5.978 seconds │ for H₄ 20.282 seconds │ for G₃₁ 3.389 seconds │ for G₃₂ 28.504 seconds │ for G₃₃ 3.808 seconds │ for G₃₄ 17.20 seconds │ for E₆ 1.673 seconds │ for ²E₆ 0.400 seconds │ for E₇ 3.051 seconds │ for E₈ 3.618 seconds │ for several groups 14.762 seconds └ Precompilation completed after 311.13s ################################################################################ # Testing # Testing Chevie Status `/tmp/jl_mGq4js/Project.toml` [367f69f0] Chevie v0.1.12 [a6b051d1] Combinat v0.1.5 [05fb067e] CycPols v0.1.4 [c380f8b6] CyclotomicNumbers v0.1.10 [bbb6641c] FiniteFields v0.1.2 [580d1d9c] FinitePosets v0.1.5 [2304d612] GenLinearAlgebra v0.1.3 [a98d1166] GenericDecMats v0.1.2 [e70aea02] GroupPresentations v0.1.1 [b964fa9f] LaTeXStrings v1.4.0 [10b2801c] LaurentPolynomials v0.1.7 [f23b31af] MatInt v0.1.3 [4249f315] ModuleElts v0.1.5 [bac558e1] OrderedCollections v1.8.1 [0b63354f] PermGroups v0.2.19 [27ebfcd6] Primes v0.5.7 [f53aee1f] PuiseuxPolynomials v0.1.9 [189a3867] Reexport v1.2.2 [87930f55] SignedPerms v0.1.2 [b01ca8d2] UsingMerge v0.0.7 [37e2e46d] LinearAlgebra v1.13.0 [2f01184e] SparseArrays v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_mGq4js/Manifest.toml` [36d08e8a] AbstractPermutations v0.3.3 [367f69f0] Chevie v0.1.12 [a6b051d1] Combinat v0.1.5 [05fb067e] CycPols v0.1.4 [c380f8b6] CyclotomicNumbers v0.1.10 [bbb6641c] FiniteFields v0.1.2 [580d1d9c] FinitePosets v0.1.5 [2304d612] GenLinearAlgebra v0.1.3 [a98d1166] GenericDecMats v0.1.2 [e70aea02] GroupPresentations v0.1.1 [d5909c97] GroupsCore v0.5.2 [18e54dd8] IntegerMathUtils v0.1.3 ⌅ [682c06a0] JSON v0.21.4 [b964fa9f] LaTeXStrings v1.4.0 [10b2801c] LaurentPolynomials v0.1.7 [f23b31af] MatInt v0.1.3 [4249f315] ModuleElts v0.1.5 [bac558e1] OrderedCollections v1.8.1 [69de0a69] Parsers v2.8.3 [0b63354f] PermGroups v0.2.19 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.1 [27ebfcd6] Primes v0.5.7 [f53aee1f] PuiseuxPolynomials v0.1.9 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [87930f55] SignedPerms v0.1.2 [b01ca8d2] UsingMerge v0.0.7 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [f43a241f] Downloads v1.7.0 [7b1f6079] FileWatching v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.13.0 [b27032c2] LibCURL v1.0.0 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.14.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [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 v1.3.0+1 [deac9b47] LibCURL_jll v8.18.0+0 [e37daf67] LibGit2_jll v1.9.2+0 [29816b5a] LibSSH2_jll v1.11.3+1 [14a3606d] MozillaCACerts_jll v2025.12.2 [4536629a] OpenBLAS_jll v0.3.30+0 [458c3c95] OpenSSL_jll v3.5.5+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.1+2 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.68.0+1 [3f19e933] p7zip_jll v17.7.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. Testing Running tests... Algebras.jl Algebras.ppart(Perm(1,2,3,4,5,6),2) Algebras.jl Algebras.ppart(Perm(1,2,3,4,5,6),3) Algebras.jl G=symmetric_group(5) Algebras.jl map(x->classreps(G)[x],Algebras.pprimesections(G,2)) Algebras.jl map(x->classreps(G)[x],Algebras.pprimesections(G,3)) Algebras.jl b=basis(Quaternions()) Algebras.jl b*permutedims(b) Algebras.jl A=ZeroHecke(coxsym(3)) Algebras.jl radical(A) Algebras.jl A=PolynomialQuotientAlgebra(Pol()^2+1) Algebras.jl basis(A) Algebras.jl A=GrothendieckRing(coxsym(3)) Algebras.jl basis(A).*permutedims(basis(A)) Algebras.jl A=GrothendieckRing(coxsym(3),FFE{2}) Algebras.jl radical(A) Algebras.jl W=Group(Perm(1,2)) Algebras.jl A=GroupAlgebra(W) Algebras.jl basis(A) Algebras.jl W=coxgroup(:B,4) Algebras.jl A=SolomonAlgebra(W) Algebras.jl X=A.xbasis; X(1,2,3)*X(2,4) Algebras.jl W.solomon_subsets Algebras.jl W.solomon_conjugacy Algebras.jl Algebras.injection(A)(X(1,2,3)) Chars.jl CharTable(coxgroup(:A,3)) Chars.jl ct=CharTable(coxgroup(:G,2)) Chars.jl charnames(ct,TeX=true) Chars.jl classnames(ct,TeX=true) Chars.jl m=cartan(:A,3) Chars.jl schur_functor(m,[2,2]) Chars.jl fakedegree(coxgroup(:A,2),[[2,1]],Pol(:q)) Chars.jl fakedegrees(coxgroup(:A,2),Pol(:q)) Chars.jl charinfo(coxgroup(:G,2)).charparams Chars.jl charinfo(coxgroup(:G,2)) Chars.jl charinfo(complex_reflection_group(24)) Chars.jl W=coxgroup(:D,4) Chars.jl detPerm(W) Chars.jl W=complex_reflection_group(4) Chars.jl conjPerm(W) Chars.jl classinfo(coxgroup(:A,2)) Chars.jl W=spets(coxgroup(:D,4),Perm(1,2,4)) Chars.jl CharTable(W) Chars.jl ct=CharTable(coxsym(4)); Chars.jl scalarproduct(ct,3*ct.irr[2,:],ct.irr[2,:]) Chars.jl ct=CharTable(coxsym(4)); Chars.jl decompose(ct,ct.irr[2,:].*ct.irr[2,:]) Chars.jl WF=rootdatum("3D4") Chars.jl on_chars(Group(WF),WF.phi) Chars.jl representation(complex_reflection_group(24),3) Chars.jl representations(coxgroup(:B,2)) Chars.jl W=coxgroup(:H,3) Chars.jl g=Wgraph(W,3) Chars.jl WGraphToRepresentation(3,g,Pol(:x)) Chars.jl W=coxgroup(:G,2) Chars.jl charnames(W;limit=true) Chars.jl charnames(W;TeX=true) Chars.jl charnames(W;spaltenstein=true,limit=true) Chars.jl charnames(W;spaltenstein=true,TeX=true) Chars.jl classnames(coxgroup(:G,2),TeX=true) Chars.jl g=coxgroup(:G,2) Chars.jl u=reflection_subgroup(g,[1,6]) Chars.jl t=induction_table(u,g) Chars.jl W=coxgroup(:D,4) Chars.jl H=reflection_subgroup(W,[1,3]) Chars.jl j_induction_table(H,W) Chars.jl W=coxgroup(:D,4) Chars.jl H=reflection_subgroup(W,[1,3]) Chars.jl J_induction_table(H,W) Chars.jl W=complex_reflection_group(4);@Mvp x,y Chars.jl discriminant(W)(x,y) Cosets.jl W=complex_reflection_group(14) Cosets.jl R=reflection_subgroup(W,[2,4]) Cosets.jl RF=spets(R,W(1)) Cosets.jl degrees(RF) Cosets.jl W=coxgroup(:B,2) Cosets.jl W=coxgroup(:Bsym,2) Cosets.jl WF=spets(W,Perm(1,2)) Cosets.jl CharTable(WF) Cosets.jl W=coxgroup(:Bsym,2) Cosets.jl WF=spets(W,Perm(1,2)) Cosets.jl subspets(WF,Int[],W(1)) Cosets.jl W=coxgroup(:B,2) Cosets.jl twistings(W,[1]) Cosets.jl twistings(W,[2]) Cosets.jl W=coxgroup(:B,2) Cosets.jl twistings(W,[2,4]) Cosets.jl W=coxgroup(:E,6) Cosets.jl WF=spets(W,Perm(1,6)*Perm(3,5)) Cosets.jl twistings(W,2:5) Cosets.jl twistings(WF,2:5) Cosets.jl W=coxgroup(:D,4) Cosets.jl graph_automorphisms(refltype(W*W)) Cosets.jl twistings(coxgroup(:A,3)*coxgroup(:A,3)) Cosets.jl twistings(coxgroup(:D,4)) Cosets.jl W=rootdatum(:so,8) Cosets.jl twistings(W) Cosets.jl W=rootdatum(:gl,3) Cosets.jl gu3=spets(W,-reflrep(W,W())) Cosets.jl F4=coxgroup(:F,4);D4=reflection_subgroup(F4,[1,2,16,48]) Cosets.jl spets(D4,[1 0 0 0;0 1 2 0;0 0 0 1;0 0 -1 -1]) Cosets.jl W=coxgroup(:A,3) Cosets.jl spets(W,Perm(1,3)) Cosets.jl torus([0 -1;1 -1]) Cosets.jl W=coxgroup(:A,3) Cosets.jl twistings(W,Int[]) Cosets.jl torus(W,2) Cosets.jl WF=spets(W,Perm(1,3)) Cosets.jl twistings(WF,Int[]) Cosets.jl torus(WF,2) Cosets.jl W=coxgroup(:D,4) Cosets.jl WF=spets(W,Perm(1,2,4)) Cosets.jl u=unichar(W,2) Cosets.jl F=Frobenius(WF);F(u) Cosets.jl F(u,-1) Cosets.jl F(1) Cosets.jl W=coxgroup(:E,6) Cosets.jl WF=spets(W) Cosets.jl phi=W(6,5,4,2,3,1,4,3,5,4,2,6,5,4,3,1); Cosets.jl HF=subspets(WF,2:5,phi) Cosets.jl diagram(HF) Cosets.jl degrees(HF) Cosets.jl WF=spets(coxgroup(:F,4)) Cosets.jl w=transporting_elt(Group(WF),[1,2,9,16],[1,9,16,2],ontuples); Cosets.jl LF=subspets(WF,[1,2,9,16],w) Cosets.jl diagram(LF) Cosets.jl spets("3G422") ##### Warning: cartantypes for crg(4,2,2)=Cyc{Rational{Int64}}[-E(3,2)] exec="(ζ₃²(-1-√-1)/2)₄‚₂‚₂" manl="₄‚₂‚₂" Cosets.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:149 Expression: mytest("Cosets.jl", "spets(\"3G422\")", "³G₄‚₂‚₂") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:94 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:149 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Cosets.jl spets("2G5") Cosets.jl spets("3G333") Cosets.jl spets("3pG333") Cosets.jl spets("4G333") CoxGroups.jl W=coxsym(4) CoxGroups.jl p=W(1,3,2,1,3) CoxGroups.jl word(W,p) CoxGroups.jl word(W,longest(W)) CoxGroups.jl w0=longest(W) CoxGroups.jl length(W,w0) CoxGroups.jl map(w->word(W,w),refls(W,1:nref(W))) CoxGroups.jl [length(elements(W,i)) for i in 0:nref(W)] CoxGroups.jl W=coxsym(3) CoxGroups.jl firstleftdescent(W,Perm(2,3)) CoxGroups.jl W=coxsym(3) CoxGroups.jl leftdescents(W,Perm(1,3)) CoxGroups.jl W=coxgroup(:A,3) CoxGroups.jl w=perm"(1,11)(3,10)(4,9)(5,7)(6,12)" CoxGroups.jl w in W CoxGroups.jl word(W,w) CoxGroups.jl W=coxsym(4) CoxGroups.jl p=W(1,2,3,1,2,3) CoxGroups.jl length(W,p) CoxGroups.jl word(W,p) CoxGroups.jl W=coxgroup(:G,2) CoxGroups.jl H=reflection_subgroup(W,[2,6]) CoxGroups.jl word.(Ref(W),unique(reduced.(Ref(H),elements(W)))) CoxGroups.jl W=coxgroup(:G,2) CoxGroups.jl H=reflection_subgroup(W,[2,6]) CoxGroups.jl [word(W,w) for S in reduced(H,W) for w in S] CoxGroups.jl W=coxgroup(:H,3) CoxGroups.jl w=W(1,2,1,3); CoxGroups.jl b=filter(x->bruhatless(W,x,w),elements(W)); CoxGroups.jl word.(Ref(W),b) CoxGroups.jl W=coxsym(3) CoxGroups.jl bruhatless(W,Perm(1,3)) CoxGroups.jl W=coxsym(3) CoxGroups.jl bruhatPoset(W) CoxGroups.jl p=Poset((x,y)->bruhatless(W,x,y),elements(W)) CoxGroups.jl p.show_element=(io,x,n)->join(io,word(W,x.elements[n])); CoxGroups.jl p CoxGroups.jl W=coxsym(4) CoxGroups.jl bruhatPoset(W,W(1,3)) CoxGroups.jl W=coxgroup(:A,3) CoxGroups.jl words(W,longest(W)) CoxGroups.jl W=coxgroup(:A,3) CoxGroups.jl inversions(W,W(1,2,1)) CoxGroups.jl CoxGroups.standard_parabolic_class(coxgroup(:E,8),[7,8]) CoxGroups.jl C=cartan(:H,3) CoxGroups.jl coxmat(C) CoxGroups.jl W=coxsym(4) CoxGroups.jl coxmat(W) CoxGroups.jl W=complex_reflection_group(29) CoxGroups.jl braid_relations(W) CoxGroups.jl longest(coxsym(4)) CoxGroups.jl longest(coxsym(4)) CoxGroups.jl W=coxsym(3) CoxGroups.jl gens(W) CoxGroups.jl e=elements(W) CoxGroups.jl length.(Ref(W),e) CoxGroups.jl W=coxsym(3) CoxGroups.jl isleftdescent(W,Perm(1,2),1) CoxGroups.jl W=coxsym(3) CoxGroups.jl isrightdescent(W,Perm(1,2),1) CoxGroups.jl elements(coxhyp(2)) CoxGroups.jl W=coxgroup([2 -2;-2 2]) CoxGroups.jl gens(W) Diagrams.jl diagram(coxgroup(:E,8)) Diagrams.jl diagram(crg(33)) Eigenspaces.jl W=coxgroup(:E,8) Eigenspaces.jl relative_degrees(W,4) Eigenspaces.jl regular_eigenvalues(coxgroup(:G,2)) Eigenspaces.jl W=complex_reflection_group(6) Eigenspaces.jl L=twistings(W,[2])[4] Eigenspaces.jl regular_eigenvalues(L) Eigenspaces.jl W=coxgroup(:E,8) Eigenspaces.jl position_regular_class(W,30) Eigenspaces.jl W=complex_reflection_group(6) Eigenspaces.jl L=twistings(W,[2])[4] Eigenspaces.jl position_regular_class(L,7//12) Eigenspaces.jl W=coxgroup(:A,3) Eigenspaces.jl w=W(1:3...) Eigenspaces.jl p=eigenspace_projector(W,w,1//4) Eigenspaces.jl GenLinearAlgebra.rank(p) Eigenspaces.jl W=coxgroup(:A,3) Eigenspaces.jl split_levis(W,4) Eigenspaces.jl W=spets(coxgroup(:D,4),Perm(1,2,4)) Eigenspaces.jl split_levis(W,3) Eigenspaces.jl W=coxgroup(:E,8) Eigenspaces.jl split_levis(W,4,2) Eigenspaces.jl split_levis(complex_reflection_group(5)) FFfac.jl @Pol q FFfac.jl f=q^3*(q^4-1)^2*Z(3)^0 FFfac.jl factor(f) FFfac.jl factor(f,GF(9)) Fact.jl factor(Pol(:q)^24-1) Fact.jl Fact.LogInt(1024,2) Fact.jl Fact.LogInt(1,10) Families.jl W=coxgroup(:G,2) Families.jl uc=UnipotentCharacters(W); Families.jl uc.families Families.jl uc.families[1] Families.jl charnames(uc)[uc.families[1].charNumbers] Families.jl Family(:C2) Families.jl Family(:C2,4:7;signs=[1,-1,1,-1]) Families.jl f=UnipotentCharacters(complex_reflection_group(3,1,1)).families[2] Families.jl galois(f,-1) Families.jl f=UnipotentCharacters(complex_reflection_group(3,1,1)).families[2] Families.jl invpermute(f,Perm(1,2,3)) Families.jl Families.ndrinfeld_double(complex_reflection_group(5)) Families.jl family_imprimitive([[0,1],[1],[0]]) Families.jl FamiliesClassical(symbols(2,3)) exec="0112233,[4])\n Family(3,[9])\n Family(112,[2])\n Family(01123,[1, 3, 8, 11])\n Family(013,[5, 7, 10, 12])\n Family(022,[6])" manl="112,[2])\n Family(022,[6])\n Family(3,[9])\n Family(01123,[1, 3, 8, 11])\n Family(0112233,[4])\n Family(013,[5, 7, 10, 12])" Families.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:273 Expression: mytest("Families.jl", "FamiliesClassical(symbols(2,3))", "6-element Vector{Family}:\n Family(112,[2])\n Family(022,[6])\n Family(3,[9])\n Family(01123,[1, 3, 8, 11])\n Family(0112233,[4])\n Family(013,[5, 7, 10, 12])") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:260 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:273 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Families.jl W=complex_reflection_group(4) Families.jl uc=UnipotentCharacters(W);f=uc.families[4]; Families.jl A=Zbasedring(fourier(f),1) Families.jl b=basis(A) Families.jl b*permutedims(b) Families.jl CharTable(A) Format.jl s="E_6[\\zeta_3]:\\phi_{1,6}" Format.jl fromTeX(rio(),s) Format.jl fromTeX(stdout,s) Format.jl s="E_6[\\zeta_3]:\\phi_{1,6}" Format.jl fromTeX(rio(),s) Format.jl fromTeX(stdout,s) Format.jl ordinal(201) Format.jl ordinal(202) Format.jl ordinal(203) Format.jl ordinal(204) Format.jl joindigits([1,9,3,5]) Format.jl joindigits([1,10,3,5]) Format.jl joindigits([1,10,3,5],"[]";sep="-") Garside.jl W=coxgroup(:A,4) Garside.jl B=BraidMonoid(W) Garside.jl w=B(1,2,3,4) Garside.jl w*w Garside.jl w*W(1) Garside.jl W(1)*w Garside.jl w^3 Garside.jl B(1,2)\w Garside.jl w/B(3,4) Garside.jl w^B(1) Garside.jl w^W(1) Garside.jl word(α(w^3)) Garside.jl w^4 Garside.jl inv(w) Garside.jl B(-4,-3,-2,-1) Garside.jl xrepr(w^-1,greedy=true,limit=true) Garside.jl repr(w) Garside.jl repr(w^3) Garside.jl repr(w^-1) Garside.jl b=B(2,1,4,1,4) Garside.jl c=B(1,4,1,4,3) Garside.jl d=conjugating_elt(b,c) Garside.jl b^d Garside.jl centralizer_gens(b) exec="21.1\n 321432.213243\n 4" manl="321432.213243\n 21.1\n 4" Garside.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:320 Expression: mytest("Garside.jl", "centralizer_gens(b)", "3-element Vector{GarsideElt{Perm{Int16}, BraidMonoid{Perm{Int16}, FiniteCoxeterGroup{Perm{Int16},Int64}}}}:\n 321432.213243\n 21.1\n 4") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:297 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:320 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Garside.jl C=conjcat(b;ss=Val(:ss)) Garside.jl C.obj Garside.jl word(W,preferred_prefix(b)) Garside.jl b^B(preferred_prefix(b)) Garside.jl C=conjcat(b) Garside.jl C.obj Garside.jl W=coxgroup(:A,3) Garside.jl B=BraidMonoid(W) Garside.jl Pi=B(B.δ)^2 Garside.jl root(Pi,2) Garside.jl root(Pi,3) Garside.jl root(Pi,4) Garside.jl B=BraidMonoid(coxgroup(:A,3)) Garside.jl word(B,B.δ) Garside.jl W=coxgroup(:A,3) Garside.jl B=BraidMonoid(W) Garside.jl map(x->B.(x),left_divisors(B,W(1,3,2))) Garside.jl B=DualBraidMonoid(W) Garside.jl map(x->B.(x),left_divisors(B,W(1,3,2))) Garside.jl M=BraidMonoid(coxgroup(:A,2)) Garside.jl elements(M,4) Garside.jl B=DualBraidMonoid(coxsym(4)) Garside.jl left_divisors(B(1,5,4,3)) Garside.jl left_divisors(B(1,5,4,3),1) Garside.jl W=coxgroup(:E,8);B=BraidMonoid(W) Garside.jl w=B(2,3,4,2,3,4,5,4,2,3,4,5,6,5,4,2,3,4,5,6,7,6,5,4,2,3,4,5,6,7,8) Garside.jl Brieskorn_normal_form(w) Garside.jl Brieskorn_normal_form(w^2) Garside.jl B=BraidMonoid(coxgroup(:A,3)) Garside.jl b=B( 2, 1, -3, 1, 1) Garside.jl fraction(b) Garside.jl W=coxgroup(:A,3) Garside.jl b=BraidMonoid(W)(2,1,2,1,1) Garside.jl α(b) Garside.jl W=coxgroup(:A,4);B=BraidMonoid(W) Garside.jl w0=B(longest(W)) Garside.jl α(w0,[1,2,3]) Garside.jl B=BraidMonoid(coxgroup(:A,3)) Garside.jl b=B(2,1,2,1,1)*inv(B(2,2)) Garside.jl word(b) Garside.jl W=coxgroup(:A,3) Garside.jl B=BraidMonoid(W) Garside.jl leftgcdc(B(2,1,2)^2,B(3,2)^2) Garside.jl W=coxgroup(:A,3) Garside.jl B=BraidMonoid(W) Garside.jl rightgcdc(B(2,1,2)^2,B(3,2)^2) Garside.jl B=BraidMonoid(coxgroup(:A,3)) Garside.jl leftlcmc(B(2,1,2)^2,B(3,2)^2) Garside.jl B=BraidMonoid(coxgroup(:A,3)) Garside.jl rightlcmc(B(2,1,2)^2,B(3,2)^2) Garside.jl W=coxsym(4) Garside.jl b=BraidMonoid(W)(2,1,2,1,1) Garside.jl p=image(b) Garside.jl word(W,p) Garside.jl W=coxgroup(:A,2) Garside.jl pi=BraidMonoid(W)(longest(W))^2 Garside.jl words(pi) Garside.jl W=coxgroup(:A,3) Garside.jl D=DualBraidMonoid(W) Garside.jl D(2,1,2,1,1) Garside.jl D(-1,-2,-3,1,1) Garside.jl W=crg(4) Garside.jl D=DualBraidMonoid(W) Garside.jl left_divisors(D(D.δ)) Garside.jl W=coxgroup(:E,8);M=DualBraidMonoid(W) Garside.jl s4=left_divisors(M,M.δ,4); Garside.jl s=M(s4[findfirst(x->x*δad(M,x,8)==M.δ,s4)]) Garside.jl "the right-lcms of the `δⁱ`-orbits on `leftdescents(b)`" function satoms(b,i) M=b.M ld=M.atoms[leftdescents(b)] di=Perm(ld,δad.(Ref(M),ld,i)) if isnothing(di) error(b," is not δ^\$i-stable") end map(o->M(rightlcm(M,ld[o]...)),orbits(di,eachindex(ld))) end WARNING: Detected access to binding `Main.satoms` in a world prior to its definition world. Julia 1.12 has introduced more strict world age semantics for global bindings. !!! This code may malfunction under Revise. !!! This code will error in future versions of Julia. Hint: Add an appropriate `invokelatest` around the access to this binding. To make this warning an error, and hence obtain a stack trace, use `julia --depwarn=error`. exec=" (generic function with 1 method)" manl="" Garside.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:388 Expression: mytest("Garside.jl", "\"the right-lcms of the `δⁱ`-orbits on `leftdescents(b)`\"\n function satoms(b,i)\n M=b.M\n ld=M.atoms[leftdescents(b)]\n di=Perm(ld,δad.(Ref(M),ld,i))\n if isnothing(di) error(b,\" is not δ^\\\$i-stable\") end\n map(o->M(rightlcm(M,ld[o]...)),orbits(di,eachindex(ld)))\n end", "satoms") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:297 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:388 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Garside.jl Category(x->satoms(x,15),s;action=(o,m)->inv(m)*o*δad(m,8)) Garside.jl W=coxsym(4);M=BraidMonoid(W) Garside.jl endomorphisms(conjcat(M(1,1,2,2,3)),1) exec="12.213\n 213.1232" manl="213.1232\n 12.213" Garside.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:391 Expression: mytest("Garside.jl", "endomorphisms(conjcat(M(1,1,2,2,3)),1)", "2-element Vector{GarsideElt{Perm{Int16}, BraidMonoid{Perm{Int16}, CoxSym{Int16}}}}:\n 213.1232\n 12.213") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:297 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:391 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Garside.jl W=coxgroup(:A,4) Garside.jl w=BraidMonoid(W)(4,3,3,2,1) Garside.jl C=conjcat(w) Garside.jl C.obj Garside.jl conjcat(w;ss=Val(:ss)).obj Garside.jl W=coxgroup(:D,4) Garside.jl B=BraidMonoid(W) Garside.jl b=B(2,3,1,2,4,3) Garside.jl b1=B(1,4,3,2,2,2) Garside.jl conjugating_elt(b,b1) Garside.jl c=conjugating_elt(b,b1;ss=Val(:cyc)) Garside.jl b^c Garside.jl WF=spets(W,Perm(1,2,4)) Garside.jl F=Frobenius(WF); Garside.jl c=B(3,4,3,1,2,3) Garside.jl conjugating_elt(b,c,F) Garside.jl ^(b,B(1,2,4,3,1,2),F) Garside.jl W=coxgroup(:D,4) Garside.jl B=BraidMonoid(W) Garside.jl w=B(4,4,4) Garside.jl cc=centralizer_gens(w) exec="34.43\n 4\n (31432)⁻¹231432\n 1\n 2\n (2)⁻¹34.432\n (32431)⁻¹132431\n (1)⁻¹34.431" manl="1\n (31432)⁻¹231432\n (1)⁻¹34.431\n (2)⁻¹34.432\n (32431)⁻¹132431\n 4\n 34.43\n 2" Garside.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:412 Expression: mytest("Garside.jl", "cc=centralizer_gens(w)", "8-element Vector{GarsideElt{Perm{Int16}, BraidMonoid{Perm{Int16}, FiniteCoxeterGroup{Perm{Int16},Int64}}}}:\n 1\n (31432)⁻¹231432\n (1)⁻¹34.431\n (2)⁻¹34.432\n (32431)⁻¹132431\n 4\n 34.43\n 2") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:297 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:412 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Garside.jl shrink(cc) #I total length 41 maximal length 11 #I 8:<11÷5>..<10÷5><9÷4>.. eliminated #I 7:<11÷5>...<10÷5><9÷4>... #I 6:<6÷1>..<5÷1> eliminated #I 5:<6÷1>...<5÷1> eliminated #I 4:<4÷0>... #I 3:<1÷0>.. #I 2:<1÷0>. #I total length 16 maximal length 9 #I 5:<9÷4>.... #I 4:<4÷0>. #I 3:<1÷0>. #I 2:<1÷0>. Garside.jl centralizer_gens(w;ss=Val(:cyc)) Garside.jl F=Frobenius(spets(W,Perm(1,2,4))); Garside.jl centralizer_gens(w,F) exec="312343123\n 124" manl="124\n 312343123" Garside.jl: Test Failed at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:416 Expression: mytest("Garside.jl", "centralizer_gens(w,F)", "2-element Vector{GarsideElt{Perm{Int16}, BraidMonoid{Perm{Int16}, FiniteCoxeterGroup{Perm{Int16},Int64}}}}:\n 124\n 312343123") Stacktrace: [1] top-level scope @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:17 [2] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [3] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:297 [inlined] [4] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2244 [inlined] [5] macro expansion @ ~/.julia/packages/Chevie/cPrBA/test/runtests.jl:416 [inlined] [6] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:782 [inlined] Garside.jl M=DualBraidMonoid(coxgroup(:A,3)) Garside.jl p=Presentation(M,vars=Symbol.(collect("abcdef"))) Garside.jl B=BraidMonoid(coxsym(3)) Garside.jl b=[B(1)^3,B(2)^3,B(-2,-1,-1,2,2,2,2,1,1,2),B(1,1,1,2)] Garside.jl shrink(b) #I total length 20 maximal length 10 #I 4:<10÷3>..<6÷1>. #I 3:<4÷0>..<1÷0> #I 2:<3÷0>. #I total length 13 maximal length 6 #I 4:<6÷1>.<4÷0>..<1÷0> #I 3:<3÷0>...<2÷0> #I 2:<3÷0>.<2÷0> #I total length 6 maximal length 2 #I 4:<2÷0>.. eliminated #I 3:<2÷0>. eliminated #I 2:<1÷0>. #I total length 2 maximal length 1 #I 2:<1÷0>. Gt.jl W=coxgroup(:G,2) Gt.jl closed_subsystems(W) Gt.jl t=ClassTypes(rootdatum(:sl,3)) HeckeAlgebras.jl W=coxgroup(:A,2) HeckeAlgebras.jl H=hecke(W,0) HeckeAlgebras.jl T=Tbasis(H); HeckeAlgebras.jl b=T.(elements(W)) HeckeAlgebras.jl b*permutedims(b) HeckeAlgebras.jl H=hecke(W,Pol(:q)) HeckeAlgebras.jl T=Tbasis(H); HeckeAlgebras.jl h=T(1,2)^2 HeckeAlgebras.jl length(h) HeckeAlgebras.jl h[W(2,1)] HeckeAlgebras.jl collect(h) HeckeAlgebras.jl collect(values(h)) HeckeAlgebras.jl collect(keys(h)) HeckeAlgebras.jl h[W(2,1)]=Pol(3) HeckeAlgebras.jl h HeckeAlgebras.jl W=coxgroup(:B,2) HeckeAlgebras.jl @Pol q HeckeAlgebras.jl H=hecke(W,q) HeckeAlgebras.jl H.para HeckeAlgebras.jl H=hecke(W,q^2,rootpara=-q) HeckeAlgebras.jl H=hecke(W,q^2) HeckeAlgebras.jl rootpara(H) HeckeAlgebras.jl H HeckeAlgebras.jl H=hecke(W,[q^2,q^4],rootpara=[q,q^2]) HeckeAlgebras.jl H.para,H.rootpara HeckeAlgebras.jl H=hecke(W,9,rootpara=3) HeckeAlgebras.jl H.para,H.rootpara HeckeAlgebras.jl @Mvp x,y,z,t HeckeAlgebras.jl H=hecke(W,[[x,y]]) HeckeAlgebras.jl rootpara(H);H HeckeAlgebras.jl H=hecke(W,[[x,y],[z,t]]) HeckeAlgebras.jl rootpara(H);H HeckeAlgebras.jl hecke(coxgroup(:F,4),(q,q^2)).para HeckeAlgebras.jl hecke(complex_reflection_group(3,1,2),q).para HeckeAlgebras.jl H=hecke(crg(4),Pol()) HeckeAlgebras.jl CharTable(H) HeckeAlgebras.jl W=crg(24) HeckeAlgebras.jl H=hecke(W,Pol(:q)) HeckeAlgebras.jl representation(H,3) HeckeAlgebras.jl H=hecke(coxgroup(:D,5),Pol(:q)) HeckeAlgebras.jl representation(H,7) HeckeAlgebras.jl H=hecke(coxgroup(:F,4)) HeckeAlgebras.jl isrepresentation(H,reflrep(H)) HeckeAlgebras.jl isrepresentation(H,Tbasis(H).(1:4)) HeckeAlgebras.jl W=coxgroup(:B,2);H=hecke(W,Pol(:q)) HeckeAlgebras.jl reflrep(H) HeckeAlgebras.jl H=hecke(coxgroup(:H,3)) HeckeAlgebras.jl reflrep(H) HeckeAlgebras.jl W=coxgroup(:H,3) HeckeAlgebras.jl H=hecke(W,Pol(:q)^2) HeckeAlgebras.jl g=Wgraph(W,3) HeckeAlgebras.jl WGraphToRepresentation(H,g) HeckeAlgebras.jl H=hecke(coxgroup(:H,3),Pol(:q)) HeckeAlgebras.jl central_monomials(H) HeckeAlgebras.jl H=hecke(coxsym(4),Pol(:q));T=Tbasis(H); HeckeAlgebras.jl representation(T(1,2)^2,2) #I Initialized Murphy basis HeckeAlgebras.jl H=hecke(coxgroup(:A,2),Pol(:q)) HeckeAlgebras.jl T=Tbasis(H);T(longest(H.W))^2 HeckeAlgebras.jl W=crg(3,1,1) HeckeAlgebras.jl H=hecke(crg(3,1,1),Pol(:q)) HeckeAlgebras.jl T=Tbasis(H);T(1)^3 HeckeAlgebras.jl W=coxgroup(:G,2);H=hecke(W,Pol(:q)) HeckeAlgebras.jl T=Tbasis(H);h=T(1,2)*T(2,1) HeckeAlgebras.jl alt(h) HeckeAlgebras.jl W=coxsym(4) HeckeAlgebras.jl H=hecke(W,Pol(:q)) HeckeAlgebras.jl h=Tbasis(H,longest(W)) HeckeAlgebras.jl p=class_polynomials(h) HeckeAlgebras.jl W=coxgroup(:B,2) HeckeAlgebras.jl H=hecke(W,q^2;rootpara=q) HeckeAlgebras.jl char_values(Cpbasis(H)(1,2,1)) HeckeAlgebras.jl W=crg(4) HeckeAlgebras.jl H=hecke(W,Pol(:q)) HeckeAlgebras.jl char_values(H,[2,1,2]) HeckeAlgebras.jl H=hecke(complex_reflection_group(4),Pol(:q)) HeckeAlgebras.jl s=schur_elements(H) HeckeAlgebras.jl CycPol.(s) HeckeAlgebras.jl @Mvp x,y; W=crg(4); H=hecke(W,[[1,x,y]]) HeckeAlgebras.jl p=factorized_schur_element(H,[[2,5]]) HeckeAlgebras.jl q=p(;x=E(3)) HeckeAlgebras.jl q(;y=2//1) HeckeAlgebras.jl HeckeAlgebras.expand(p) HeckeAlgebras.jl W=complex_reflection_group(4) HeckeAlgebras.jl @Mvp x,y; H=hecke(W,[[1,x,y]]) HeckeAlgebras.jl factorized_schur_element(H,[[2,5]]) HeckeAlgebras.jl W=complex_reflection_group(4) HeckeAlgebras.jl @Mvp x,y; H=hecke(W,[[1,x,y]]) HeckeAlgebras.jl factorized_schur_elements(H) HeckeAlgebras.jl WF=rootdatum(:u,3) HeckeAlgebras.jl HF=hecke(WF,Pol(:v)^2;rootpara=Pol()) HeckeAlgebras.jl CharTable(HF) HeckeAlgebras.jl WF=rootdatum("2B2") HeckeAlgebras.jl H=hecke(WF,Pol(:x)^2;rootpara=Pol()) HeckeAlgebras.jl representations(H) KL.jl W=coxgroup(:H,3) KL.jl c=left_cells(W) KL.jl W=coxgroup(:F,4) KL.jl w=longest(W)*gens(W)[1];length(W,w) KL.jl y=W(1:4...);length(W,y) KL.jl cr=KL.critical_pair(W,y,w);length(W,cr) KL.jl Pol(:x);KLPol(W,y,w) KL.jl KLPol(W,cr,w) KL.jl W=coxgroup(:B,3) KL.jl map(i->map(x->KLPol(W,one(W),x),elements(W,i)),1:nref(W)) KL.jl W=coxgroup(:B,2);@Pol v;H=hecke(W,[v^4,v^2]) KL.jl Cp=Cpbasis(H);h=Cp(1)^2 KL.jl k=Tbasis(h) KL.jl Cp(k) KL.jl W=coxgroup(:B,3);H=hecke(W,Pol(:v)^2) KL.jl T=Tbasis(H);C=Cbasis(H);T(C(1)) KL.jl C(T(1)) KL.jl ref=reflrep(H) KL.jl W=coxgroup(:B,3) KL.jl @Pol v;H=hecke(W,v^2,rootpara=v) KL.jl C=Cpbasis(H); Tbasis(C(1,2)) KL.jl c=left_cells(coxgroup(:G,2))[3] KL.jl character(c) KL.jl W=coxgroup(:H,3) KL.jl c=left_cells(W)[3] KL.jl @Mvp q;H=hecke(W,q) KL.jl representation(c,H) KL.jl W=coxgroup(:G,2) KL.jl left_cells(W) KL.jl W=coxgroup(:G,2); KL.jl left_cells(W,1) KL.jl W=coxgroup(:E,8) KL.jl LeftCell(W,W((1:8)...)) KL.jl W=coxgroup(:G,2) KL.jl l=Lusztigaw(W,W(1)) KL.jl sum(l.*map(i->almostchar(W,i),eachindex(l))) KL.jl W=coxgroup(:G,2) KL.jl l=LusztigAw(W,W(1)) KL.jl sum(l.*map(i->almostchar(W,i),eachindex(l))) KL.jl W=coxgroup(:G,2) KL.jl A=AsymptoticAlgebra(W,1) KL.jl b=basis(A) KL.jl b*permutedims(b) KL.jl CharTable(A) Lusztig.jl W=coxgroup(:B,3) Lusztig.jl t=twistings(W,[1,3]) Lusztig.jl lusztig_induction_table(t[2],W) Murphy.jl W=coxgroup(:A,2) Murphy.jl H=hecke(W,Pol(:q)) Murphy.jl l=Tbasis(H).(elements(W)) Murphy.jl Murphy.SpechtModules(H,false);Murphybasis(H).(l) #I Initialized Murphy basis Nf.jl F=NF(E(5)) Nf.jl K=NF(root(5)) Nf.jl conductor(K) Nf.jl E(5)+E(5,-1) in NF(root(5)) Nf.jl elements(galois(F)) Nf.jl NF(root(3),root(5)) Nf.jl Nf.LenstraBase(24,Group([Mod(19,24)]),Group([Mod(19,24)])) Nf.jl Nf.LenstraBase(24,Group([Mod(19,24)]),Group([Mod(19,24),Mod(5,24)])) Nf.jl Nf.LenstraBase(15,Group([Mod(4,15)]),Group(Mod.(prime_residues(15),15))) Nf.jl NF(E(3),root(5)) Nf.jl NF([E(3),root(5)]) Nf.jl NF(15,[Mod(4,15)]) Nf.jl NF(15,[4]) Nf.jl F=NF(root(5)) Nf.jl s=Aut(F,3) Nf.jl root(5)^s Nf.jl K=CF(5) Nf.jl F=NF(root(5)) Nf.jl galois(K) Nf.jl elements(galois(K)) Nf.jl elements(galois(F)) PermRoot.jl W=complex_reflection_group(4) PermRoot.jl gens(W) PermRoot.jl length(unique(refls(W))) PermRoot.jl length(refls(W)) PermRoot.jl reflrep(W) PermRoot.jl braid_relations(W) PermRoot.jl diagram(W) PermRoot.jl cartan(W) PermRoot.jl simpleroots(W) PermRoot.jl simplecoroots(W) PermRoot.jl degrees(W) PermRoot.jl fakedegrees(W,Pol(:x)) PermRoot.jl reflectionMatrix([1,0,-E(3,2)]) PermRoot.jl asreflection([-1 0 0;1 1 0;0 0 1]) PermRoot.jl asreflection([-1 0 0;1 1 0;0 0 1],[1,0,0]) PermRoot.jl W=coxgroup(:A,3) PermRoot.jl cartan(W) PermRoot.jl rank(complex_reflection_group(31)) PermRoot.jl W=coxgroup(:D,3) PermRoot.jl t=refltype(W) PermRoot.jl indices(t) PermRoot.jl bipartite_decomposition(coxgroup(:E,8)) PermRoot.jl W=coxgroup(:B,3) PermRoot.jl reflchar(W,longest(W)) PermRoot.jl reflchar(coxgroup(:A,3)) PermRoot.jl refleigen(coxgroup(:B,2)) PermRoot.jl W=coxgroup(:A,4) PermRoot.jl reflength(W,longest(W)) PermRoot.jl reflength(W,W(1,2,3,4)) PermRoot.jl W=reflection_subgroup(coxgroup(:A,3),[1,3]) PermRoot.jl semisimplerank(W) PermRoot.jl rank(W) PermRoot.jl W=reflection_subgroup(rootdatum("E7sc"),1:6) PermRoot.jl PermX(W,reflrep(W,longest(W)))==longest(W) PermRoot.jl parabolic_reps(coxgroup(:A,4)) PermRoot.jl parabolic_reps(complex_reflection_group(3,3,3)) # Extending G₃‚₃‚₃₍₁₎=A₁Φ₁² 8 new subgroups*# changing inclusiongens to <2,22> for A₂₍₁₇₎<12 refs> **# changing inclusiongens to <5,8> for A₂₍₁₇₎<12 refs> *# changing inclusiongens to <6,13> for A₂₍₁₄₎<6 refs> *# changing inclusiongens to <9,29> for A₂₍₁₇₎<12 refs> *# changing inclusiongens to <12,38> for A₂₍₁₇₎<12 refs> **# changing inclusiongens to <20,39> for A₂₍₁₄₎<6 refs> # changing inclusiongens to <1,3> for A₂<6 refs> # changing inclusiongens to <1,10> for A₂₍₁₈₎<12 refs> # changing inclusiongens to <1,32> for A₂₍₁₆₎<12 refs> # changing inclusiongens to <1,15> for A₂<12 refs> # 4 to go # candidates for G₃‚₃‚₃₍₁₃₎=A₂Φ₁ to be conjugate:Any[] # new:G₃‚₃‚₃₍₁₃₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ # i=2 found:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁] # changing inclusiongens to <1,10> for A₂₍₁₇₎<12 refs> # ****** G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ is not conjugate to a standard parabolic # Extending G₃‚₃‚₃₍₁₎=A₁Φ₁² 8 new subgroups********# 4 to go # candidates for G₃‚₃‚₃₍₁₃₎=A₂Φ₁ to be conjugate:Any[] # new:G₃‚₃‚₃₍₁₃₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ # i=2 found:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁] # ****** G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ is not conjugate to a standard parabolic # Extending G₃‚₃‚₃₍₁₎=A₁Φ₁² 8 new subgroups********# 4 to go # candidates for G₃‚₃‚₃₍₁₃₎=A₂Φ₁ to be conjugate:Any[] # new:G₃‚₃‚₃₍₁₃₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ # i=2 found:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁] # ****** G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ is not conjugate to a standard parabolic # Extending G₃‚₃‚₃₍₁₎=A₁Φ₁² 8 new subgroups********# 4 to go # candidates for G₃‚₃‚₃₍₁₃₎=A₂Φ₁ to be conjugate:Any[] # new:G₃‚₃‚₃₍₁₃₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ # i=2 found:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁] # ****** G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ is not conjugate to a standard parabolic PermRoot.jl parabolic_reps(coxgroup(:A,4),2) PermRoot.jl parabolic_reps(complex_reflection_group(3,3,3),2) # Extending G₃‚₃‚₃₍₁₎=A₁Φ₁² 8 new subgroups*# changing inclusiongens to <2,22> for A₂₍₁₇₎<12 refs> **# changing inclusiongens to <5,8> for A₂₍₁₇₎<12 refs> *# changing inclusiongens to <6,13> for A₂₍₁₄₎<6 refs> *# changing inclusiongens to <9,29> for A₂₍₁₇₎<12 refs> *# changing inclusiongens to <12,38> for A₂₍₁₇₎<12 refs> **# changing inclusiongens to <20,39> for A₂₍₁₄₎<6 refs> # changing inclusiongens to <1,3> for A₂<6 refs> # changing inclusiongens to <1,10> for A₂₍₁₈₎<12 refs> # changing inclusiongens to <1,32> for A₂₍₁₆₎<12 refs> # changing inclusiongens to <1,15> for A₂<12 refs> # 4 to go # candidates for G₃‚₃‚₃₍₁₃₎=A₂Φ₁ to be conjugate:Any[] # new:G₃‚₃‚₃₍₁₃₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ # candidates for G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ to be conjugate:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁] # new:G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁ # i=2 found:Any[G₃‚₃‚₃₍₁₃₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₀₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁, G₃‚₃‚₃₍₁‚₁₅₎=A₂Φ₁] # changing inclusiongens to <1,10> for A₂₍₁₇₎<12 refs> # ****** G₃‚₃‚₃₍₁‚₃₂₎=A₂Φ₁ is not conjugate to a standard parabolic PermRoot.jl W=reflection_subgroup(rootdatum("E7sc"),1:6) PermRoot.jl reflrep(W,longest(W)) PermRoot.jl W=reflection_subgroup(rootdatum("E7sc"),1:6) PermRoot.jl YMatrix(W,longest(W)) PermRoot.jl W=reflection_subgroup(rootdatum("E7sc"),1:6) PermRoot.jl PermY(W,YMatrix(W,longest(W)))==longest(W) PermRoot.jl W=complex_reflection_group(7) PermRoot.jl isparabolic(reflection_subgroup(W,[1,2])) PermRoot.jl isparabolic(reflection_subgroup(W,[1])) PermRoot.jl W=complex_reflection_group(7) PermRoot.jl parabolic_closure(W,[1]) PermRoot.jl parabolic_closure(W,[1,2]) # changing inclusiongens to <1,2,3> for G₇<168 refs> PermRoot.jl catalan(coxgroup(:A,7)) PermRoot.jl catalan(complex_reflection_group(7),2) PermRoot.jl catalan(complex_reflection_group(7),2;q=Pol()) PermRoot.jl W=complex_reflection_group(4) PermRoot.jl invariant_form(W) PermRoot.jl PermRoot.generic_order(complex_reflection_group(4),Pol(:q)) PermRoot.jl W=coxgroup(:A,2) PermRoot.jl @Mvp x,y,z PermRoot.jl i=invariants(W); PermRoot.jl map(f->f(x,y),i) PermRoot.jl W=complex_reflection_group(24) PermRoot.jl p=invariants(W)[1](x,y,z) PermRoot.jl map(v->^(v,reflrep(W,1);vars=[:x,:y,:z]),(x,y,z)) PermRoot.jl p^reflrep(W,1)-p PermRoot.jl W=coxgroup(:B,2) PermRoot.jl hyperplane_orbits(W) Rootdata.jl W=rootdatum([-1 1 0;0 -1 1],[-1 1 0;0 -1 1]) Rootdata.jl reflrep(W,W(1)) Rootdata.jl rootdatum(:gl,3) Rootdata.jl torus(3) Rootdata.jl W=coxgroup(:A,4) Rootdata.jl SubTorus(W,[1 2 3 4;2 3 4 1;3 4 1 1]) Rootdata.jl weightinfo(coxgroup(:A,2)*coxgroup(:B,2)) Rootdata.jl W=coxgroup(:A,3) Rootdata.jl fundamental_group(W) Rootdata.jl W=rootdatum(:sl,4) Rootdata.jl fundamental_group(W) Rootdata.jl W=coxgroup(:A,3) Rootdata.jl fundamental_group(intermediate_group(W)) Rootdata.jl fundamental_group(intermediate_group(W,2)) Rootdata.jl fundamental_group(intermediate_group(W,1)) Semisimple.jl G=rootdatum(:sl,4) Semisimple.jl ss(G,[1//3,1//4,3//4,2//3]) Semisimple.jl SemisimpleElement(G,[E(3),E(4),E(4,3),E(3,2)]) Semisimple.jl L=reflection_subgroup(G,[1,3]) Semisimple.jl C=algebraic_center(L) Semisimple.jl T=torsion_subgroup(C.Z0,3) Semisimple.jl e=sort(elements(T)) Semisimple.jl e[3]^G(2) Semisimple.jl orbit(G,e[3]) Semisimple.jl G=rootdatum(:sl,4) Semisimple.jl s=SemisimpleElement(G,Z(4).^[1,2,1]) Semisimple.jl s^G(2) Semisimple.jl orbit(G,s) Semisimple.jl G=coxgroup(:A,3) Semisimple.jl s=ss(G,[0,1//2,0]) Semisimple.jl centralizer(G,s) Semisimple.jl ss(rootdatum(:sl,4),[1//3,1//4,3//4,2//3]) Semisimple.jl G=rootdatum(:sl,4) Semisimple.jl L=reflection_subgroup(G,[1,3]) Semisimple.jl C=algebraic_center(L) Semisimple.jl T=torsion_subgroup(C.Z0,3) Semisimple.jl sort(elements(T)) Semisimple.jl G=coxgroup(:A,3) Semisimple.jl s=ss(G,[0,1//2,0]) Semisimple.jl centralizer(G,s) Semisimple.jl W=coxgroup(:E,6);l=quasi_isolated_reps(W) Semisimple.jl map(s->isisolated(W,s),l) Semisimple.jl W=rootdatum(:E6sc);l=quasi_isolated_reps(W) Semisimple.jl map(s->isisolated(W,s),l) Semisimple.jl Semisimple.quasi_isolated_reps(W,3) Semisimple.jl l=twistings(rootdatum(:sl,4),Int[]) Semisimple.jl structure_rational_points_connected_centre.(l,3) Semisimple.jl W=coxgroup(:G,2) Semisimple.jl sscentralizer_reps(W) Semisimple.jl reflection_subgroup.(Ref(W),sscentralizer_reps(W)) Semisimple.jl sscentralizer_reps(W,2) Sscoset.jl WF=rootdatum(:u,6) Sscoset.jl l=quasi_isolated_reps(WF) Sscoset.jl centralizer.(Ref(WF),l) Sscoset.jl isisolated.(Ref(WF),l) Sscoset.jl WF=rootdatum(:u,6) Sscoset.jl s=ss(Group(WF),[1//4,0,0,0,0,3//4]) Sscoset.jl centralizer(WF,s) Sscoset.jl centralizer(WF,one(s)) Sscoset.jl WF=rootdatum("2E6sc") Sscoset.jl quasi_isolated_reps(WF) Sscoset.jl quasi_isolated_reps(WF,2) Sscoset.jl quasi_isolated_reps(WF,3) Sscoset.jl WF=rootdatum(:u,6) Sscoset.jl l=quasi_isolated_reps(WF) Sscoset.jl isisolated.(Ref(WF),l) SymFuncs.jl A=SymFuncAlgebra(10) SymFuncs.jl p=pbasis(A);h=hbasis(A);s=sbasis(A); SymFuncs.jl p(Partition(3,2,1)) SymFuncs.jl p([3,2,1]) SymFuncs.jl p(3,2,1) SymFuncs.jl s(p(3,2,1)) SymFuncs.jl h(p(3,2,1)) SymFuncs.jl s(2,1)*s(2,1) SymFuncs.jl s(2,1)⊗s(2,1) SymFuncs.jl plethysm(p(2,1),s(2,1)) SymFuncs.jl scalarproduct(p(1,1,1),s(2,1)) SymFuncs.jl s(2,1)+p(3) SymFuncs.jl Mvp(p(2)+p(3)) Symbols.jl symbols(3,3,0) Symbols.jl Partition([2,1,1]) Symbols.jl p=Partition(2,1,1) Symbols.jl length(p) Symbols.jl size(p) Symbols.jl union(p,p) Symbols.jl p' Symbols.jl p[1] Symbols.jl p[4] Symbols.jl core(Partition(3,3,1),3) Symbols.jl quotient(Partition(3,3,1),3) Symbols.jl βset([3,3,1]) Symbols.jl CharSymbol([[1],Int[],[2]]) Symbols.jl CharSymbol([[1],[1],[1]],3,2) Symbols.jl d=partition_tuples(3,2) Symbols.jl string_partition_tuple.(d) Symbols.jl shiftβ([2,3],2) Symbols.jl shiftβ([0,1,4,5],-2) Symbols.jl shiftβ([0,1,4,5]) Symbols.jl partβ([0,4,5]) Symbols.jl Symbol_partition_tuple([[2,1],[1]],1) Symbols.jl Symbol_partition_tuple([[2,1],[1]],0) Symbols.jl Symbol_partition_tuple([[2,1],[1]],-1) Symbols.jl rank(CharSymbol([[1,5,6],[1,2]])) Symbols.jl valuation_gendeg(CharSymbol([[1,5,6],[1,2]])) Symbols.jl degree_gendeg(CharSymbol([[1,5,6],[1,2]])) Symbols.jl defectsymbol([[1,5,6],[1,2]]) Symbols.jl defect(CharSymbol([[1,5,6],[1,2]])) Symbols.jl degree_feg(CharSymbol([[1,5,6],[1,2]])) Symbols.jl valuation_feg(CharSymbol([[1,5,6],[1,2]])) Symbols.jl symbols(2,4,0) Symbols.jl symbols(2,4,0,1) Symbols.jl fakedegree(CharSymbol([[1,5,6],[1,2]])) Symbols.jl gendeg(CharSymbol([[1,2],[1,5,6]])) Tools.jl valuation.(24,(2,3,5)) Tools.jl abelian_gens([Perm(1,2),Perm(3,4,5),Perm(6,7)]) Tools.jl abelian_invariants(Group(Perm(1,2),Perm(3,4,5),Perm(6,7))) Tools2.jl W=coxsym(5) Tools2.jl blocks(W,2) Tools2.jl blocks(W,3) Tools2.jl blocks(W,7) Tools2.jl @Mvp x,y Tools2.jl factor(x^2-y^2+x+3y-2) Tools2.jl factor(x^2+x+1) Tools2.jl factor(x*y-1) Truncs.jl @Pol x Truncs.jl p=(x+x^2)^5 Truncs.jl tp=Trunc(p,4) Truncs.jl inv(tp) Truncs.jl inv(tp)*tp Truncs.jl tp*2 Truncs.jl Truncs.varname=:q Truncs.jl tp Truncs.jl length(tp) Truncs.jl tp+1 Truncs.jl tp+Pol()^5 Truncs.jl tp-Trunc(Pol()^5,4) Truncs.jl tp[1] Truncs.jl tp[6] Truncs.jl a=(3Pol()^-2+1)/p Truncs.jl Trunc(a,4) Truncs.jl Trunc(a,4)*tp Truncs.jl @Mvp x,y Truncs.jl den=x-y Truncs.jl frac=(x+y)/den Truncs.jl Truncs.varname=:x Truncs.jl tden=Trunc(den,4,:x) Truncs.jl tfrac=Trunc(frac,4,:x) Truncs.jl tden*tfrac Truncs.jl pade(inv(Trunc(p,10))) Truncs.jl p=Pol([2,0,1],-1) Truncs.jl Trunc(p,4) Truncs.jl @Pol x Truncs.jl f=inv(Trunc(x^3+2x+1,6)) Truncs.jl Truncs.continued_fraction(f) Truncs.jl @Pol x Truncs.jl f=inv(Trunc(x^3+2x+1,6)) Truncs.jl pade(f) Uch.jl W=coxgroup(:G,2) Uch.jl uc=UnipotentCharacters(W) Uch.jl uc.families[1] Uch.jl W=coxgroup(:G,2) Uch.jl T=spets(reflection_subgroup(W,Int[]),W(1,2)) Uch.jl u=unipotent_character(T,1) Uch.jl T=torus(W,position_regular_class(W,6)) Uch.jl lusztig_induce(W,u) Uch.jl v=deligne_lusztig_character(W,[1,2]) Uch.jl degree(v) Uch.jl scalarproduct(v,v) Uch.jl UnipotentCharacters(complex_reflection_group(4)) Uch.jl W=coxgroup(:Bsym,2) Uch.jl WF=spets(W,Perm(1,2)) Uch.jl uc=UnipotentCharacters(WF) Uch.jl uc.families Uch.jl uc.families[3] Uch.jl uc=UnipotentCharacters(coxgroup(:G,2)); Uch.jl charnames(uc;limit=true) Uch.jl charnames(uc;TeX=true) Uch.jl W=coxgroup(:B,2) Uch.jl uc=UnipotentCharacters(W) Uch.jl W=coxgroup(:G,2) Uch.jl uc=UnipotentCharacters(W); Uch.jl degrees(uc) Uch.jl W=coxgroup(:G,2) Uch.jl CycPoldegrees(UnipotentCharacters(W)) Uch.jl W=coxgroup(:G,2) Uch.jl u=unichar(W,7) Uch.jl v=unichar(W,"G2[E3]") Uch.jl w=unichar(W,[1,0,0,-1,0,0,2,0,0,1]) Uch.jl unichar(W,fourier(UnipotentCharacters(W))[3,:]) Uch.jl coefficients(u) Uch.jl w-2u Uch.jl scalarproduct(w,w) Uch.jl degree(w) Uch.jl W=coxgroup(:G,2) Uch.jl WF=spets(W) Uch.jl T=subspets(WF,Int[],W(1)) Uch.jl u=unichar(T,1) Uch.jl lusztig_induce(WF,u) Uch.jl dlchar(W,W(1)) Uch.jl W=coxgroup(:G,2) Uch.jl WF=spets(W) Uch.jl T=subspets(WF,Int[],W(1)) Uch.jl u=dlchar(W,W(1)) Uch.jl lusztig_restrict(T,u) Uch.jl T=subspets(WF,Int[],W(2)) Uch.jl lusztig_restrict(T,u) Uch.jl dlCharTable(W) Uch.jl W=coxgroup(:G,2) Uch.jl dlchar(W,3) Uch.jl dlchar(W,W(1)) Uch.jl dlchar(W,[1]) Uch.jl dlchar(W,[1,2]) Uch.jl W=coxgroup(:B,2) Uch.jl almostchar(W,3) Uch.jl almostchar(W,1) Uch.jl W=coxgroup(:A,2) Uch.jl H=hecke(W,Pol(:q)) Uch.jl T=Tbasis(H); Uch.jl dllefschetz(T(1,2)) Uch.jl dllefschetz((T(1)+T())*(T(2)+T())) Uch.jl H=hecke(spets(W,Perm(1,2)),Pol(:q)^2) Uch.jl T=Tbasis(H);dllefschetz(T(1)) Uch.jl WF=rootdatum("3D4") Uch.jl on_unipotents(Group(WF),WF.phi) Uch.jl W=coxgroup(:D,4) Uch.jl cuspidal(UnipotentCharacters(W)) ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 16 running 1 of 1 signal (10): User defined signal 1 ios_getc at /source/src/support/ios.c:1084 unknown function (ip: 0x7ffe9c51f8ef) at (unknown file) jl_decode_value_memory at /source/src/ircode.c:600 jl_decode_value_array1d at /source/src/ircode.c:643 [inlined] jl_decode_value at /source/src/ircode.c:834 ijl_uncompress_ir at /source/src/ircode.c:1167 _uncompressed_ir at ./runtime_internals.jl:1617 ci_get_source at ./../usr/share/julia/Compiler/src/typeinfer.jl:1457 typeinf_edge at ./../usr/share/julia/Compiler/src/typeinfer.jl:1159 abstract_call_method at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:728 infercalls at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:166 abstract_call_gf_by_type at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:328 abstract_call_known at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:2822 abstract_call at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:2932 abstract_call at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:2925 [inlined] abstract_call at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:3085 abstract_eval_call at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:3103 [inlined] abstract_eval_statement_expr at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:3467 abstract_eval_basic_statement at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:3866 [inlined] abstract_eval_basic_statement at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:3823 [inlined] typeinf_local at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:4376 jfptr_typeinf_local_90210.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 typeinf at ./../usr/share/julia/Compiler/src/abstractinterpretation.jl:4568 typeinf_ext at ./../usr/share/julia/Compiler/src/typeinfer.jl:1532 typeinf_ext_toplevel at ./../usr/share/julia/Compiler/src/typeinfer.jl:1715 [inlined] typeinf_ext_toplevel at ./../usr/share/julia/Compiler/src/typeinfer.jl:1724 jfptr_typeinf_ext_toplevel_90036.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] jl_type_infer at /source/src/gf.c:467 jl_compile_method_internal at /source/src/gf.c:3640 _jl_invoke at /source/src/gf.c:4112 [inlined] ijl_apply_generic at /source/src/gf.c:4317 map at ./abstractarray.jl:3390 unknown function (ip: 0x7dacb6f02626) at (unknown file) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 #22 at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Chars.jl:514 get! at ./dict.jl:460 unknown function (ip: 0x7dacd10dcedd) at (unknown file) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 get! at /home/pkgeval/.julia/packages/PermGroups/FyIxU/src/Groups.jl:128 #fakedegrees#15 at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Chars.jl:513 fakedegrees at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Chars.jl:511 unknown function (ip: 0x7dacd10c8bfc) at (unknown file) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 degrees at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Uch.jl:789 degrees at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Uch.jl:785 [inlined] #CycPoldegrees##0 at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Uch.jl:820 get! at ./dict.jl:460 unknown function (ip: 0x7dacd108f89d) at (unknown file) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 get! at /home/pkgeval/.julia/packages/PermGroups/FyIxU/src/Groups.jl:128 CycPoldegrees at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Uch.jl:819 [inlined] cuspidal at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Uch.jl:1326 cuspidal at /home/pkgeval/.julia/packages/Chevie/cPrBA/src/Uch.jl:1325 unknown function (ip: 0x7dacb6f01fd2) at (unknown file) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] do_call at /source/src/interpreter.c:123 eval_value at /source/src/interpreter.c:243 eval_stmt_value at /source/src/interpreter.c:194 [inlined] eval_body at /source/src/interpreter.c:693 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884 ijl_eval_thunk at /source/src/toplevel.c:765 jl_toplevel_eval_flex at /source/src/toplevel.c:712 ijl_toplevel_eval at /source/src/toplevel.c:779 ijl_toplevel_eval_in at /source/src/toplevel.c:824 eval at ./boot.jl:489 EvalInto at ./boot.jl:494 [inlined] mytest at /home/pkgeval/.julia/packages/Chevie/cPrBA/test/runtests.jl:5 _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] jl_f__apply_iterate at /source/src/builtins.c:876 eval_test_function at /source/usr/share/julia/stdlib/v1.14/Test/src/Test.jl:402 unknown function (ip: 0x7dad0871ff69) at (unknown file) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] do_call at /source/src/interpreter.c:123 eval_value at /source/src/interpreter.c:243 eval_body at /source/src/interpreter.c:581 eval_body at /source/src/interpreter.c:558 eval_body at /source/src/interpreter.c:550 eval_body at /source/src/interpreter.c:558 eval_body at /source/src/interpreter.c:558 eval_body at /source/src/interpreter.c:558 eval_body at /source/src/interpreter.c:550 eval_body at /source/src/interpreter.c:558 eval_body at /source/src/interpreter.c:558 eval_body at /source/src/interpreter.c:558 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884 ijl_eval_thunk at /source/src/toplevel.c:765 jl_toplevel_eval_flex at /source/src/toplevel.c:712 jl_eval_toplevel_stmts at /source/src/toplevel.c:602 jl_toplevel_eval_flex at /source/src/toplevel.c:684 ijl_toplevel_eval at /source/src/toplevel.c:779 ijl_toplevel_eval_in at /source/src/toplevel.c:824 eval at ./boot.jl:489 include_string at ./loading.jl:3130 _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 _include at ./loading.jl:3190 include at ./Base.jl:310 IncludeInto at ./Base.jl:311 jfptr_IncludeInto_64181.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] do_call at /source/src/interpreter.c:123 eval_value at /source/src/interpreter.c:243 eval_stmt_value at /source/src/interpreter.c:194 [inlined] eval_body at /source/src/interpreter.c:693 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884 ijl_eval_thunk at /source/src/toplevel.c:765 jl_toplevel_eval_flex at /source/src/toplevel.c:712 jl_eval_toplevel_stmts at /source/src/toplevel.c:602 jl_toplevel_eval_flex at /source/src/toplevel.c:684 ijl_toplevel_eval at /source/src/toplevel.c:779 ijl_toplevel_eval_in at /source/src/toplevel.c:824 eval at ./boot.jl:489 exec_options at ./client.jl:310 _start at ./client.jl:585 jfptr__start_65189.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] true_main at /source/src/jlapi.c:971 jl_repl_entrypoint at /source/src/jlapi.c:1138 main at /source/cli/loader_exe.c:58 unknown function (ip: 0x7dad1e924249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== Uch.jl cuspidal(UnipotentCharacters(W),6) ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 1 running 0 of 1 signal (10): User defined signal 1 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430 ijl_task_get_next at /source/src/scheduler.c:457 wait at ./task.jl:1246 wait_forever at ./task.jl:1168 jfptr_wait_forever_54149.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4120 [inlined] ijl_apply_generic at /source/src/gf.c:4317 jl_apply at /source/src/julia.h:2285 [inlined] start_task at /source/src/task.c:1275 unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Uch.jlOverhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x00007dad043fc010 Total snapshots: 1. Utilization: 100% ╎1 @Base/client.jl:585 _start() ╎ 1 @Base/client.jl:310 exec_options(opts::Base.JLOptions) ╎ 1 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ 1 @Base/Base.jl:311 (::Base.IncludeInto)(fname::String) ╎ 1 @Base/Base.jl:310 include(mapexpr::Function, mod::Module, _path::Strin… ╎ 1 @Base/loading.jl:3190 _include(mapexpr::Function, mod::Module, _path:… ╎ ╎ 1 @Base/loading.jl:3130 include_string(mapexpr::typeof(identity), mod:… ╎ ╎ 1 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ 1 @Test/src/Test.jl:402 eval_test_function(func::Any, args::Any, kwa… ╎ ╎ 1 @Chevie/…t/runtests.jl:5 mytest(file::String, cmd::String, man::S… ╎ ╎ 1 @Base/boot.jl:494 EvalInto ╎ ╎ ╎ 1 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ ╎ 1 @Chevie/src/Uch.jl:1325 cuspidal(uc::UnipotentCharacters) ╎ ╎ ╎ 1 @Chevie/src/Uch.jl:1326 cuspidal(uc::UnipotentCharacters, d::… ╎ ╎ ╎ 1 @Chevie/src/Uch.jl:819 CycPoldegrees ╎ ╎ ╎ 1 @PermGroups/…ups.jl:128 get!(f::Function, o::UnipotentChara… ╎ ╎ ╎ ╎ 1 @Base/dict.jl:460 get!(default::Chevie.Uch.var"#CycPoldegr… ╎ ╎ ╎ ╎ 1 @Chevie/…rc/Uch.jl:820 (::Chevie.Uch.var"#CycPoldegrees##… ╎ ╎ ╎ ╎ 1 @Chevie/…rc/Uch.jl:785 degrees ╎ ╎ ╎ ╎ 1 @Chevie/…c/Uch.jl:789 degrees(uc::UnipotentCharacters, … ╎ ╎ ╎ ╎ 1 @Chevie/…Chars.jl:511 fakedegrees(W::Spets{FiniteCoxet… ╎ ╎ ╎ ╎ ╎ 1 @Chevie/…hars.jl:513 fakedegrees(W::Spets{FiniteCoxet… ╎ ╎ ╎ ╎ ╎ 1 @PermGroups/….jl:128 get!(f::Function, o::Spets{Fini… ╎ ╎ ╎ ╎ ╎ 1 @Base/dict.jl:460 get!(default::Chevie.Chars.var"#2… ╎ ╎ ╎ ╎ ╎ 1 @Chevie/…ars.jl:514 (::Chevie.Chars.var"#22#23"{Sp… ╎ ╎ ╎ ╎ ╎ 1 @Base/…rray.jl:3390 map(f::Function, A::Vector{Ve… ╎ ╎ ╎ ╎ ╎ ╎ 1 @Base/array.jl:763 collect_similar(cont::Vector{… ╎ ╎ ╎ ╎ ╎ ╎ 1 @Base/array.jl:848 _collect(c::Vector{Vector}, … ╎ ╎ ╎ ╎ ╎ ╎ 1 @Base/…ator.jl:48 iterate ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…jl:1724 typeinf_ext_toplevel(mi::C… ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:1715 typeinf_ext_toplevel ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:1532 typeinf_ext(interp::Compi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:4568 typeinf(interp::Compiler… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:4376 typeinf_local(interp::C… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:3823 abstract_eval_basic_st… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:3866 abstract_eval_basic_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:3467 abstract_eval_statem… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:3103 abstract_eval_call ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:3085 abstract_call(inte… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:2925 abstract_call ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 1 @Compiler/…l:2932 abstract_call(in… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 1 @Compiler/…l:2822 abstract_call_kn… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 1 @Compiler/…l:119 abstract_call_gf_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 1 @Compiler/…l:332 find_method_match… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 1 @Compiler/…l:338 #find_method_matc… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 1 @Compiler/…l:376 find_simple_metho… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 1 @Compiler/…l:102 findall ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Compiler/…l:105 findall(sig::Type… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 1 @Compiler/…l:70 findall ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Compiler/…l:70 #findall#5 ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Compiler/…l:97 _findall ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ls.jl:1603 _methods_by_ftype cuspidal(UnipotentCharacters(complex_reflection_group(4)),3) Uch.jl cuspidal_data(coxgroup(:F,4),1) ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x000078a287576590 Total snapshots: 409. Utilization: 0% ╎409 @Base/task.jl:1168 wait_forever() 408╎ 409 @Base/task.jl:1246 wait() PkgEval terminated after 2721.08s: test duration exceeded the time limit