Magma V2.19-8 Tue Aug 20 2013 16:17:45 on localhost [Seed = 3920131336] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1984 geometric_solution 5.55126347 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149558529358 0.496988673120 0 4 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397728021646 0.732033249850 0 0 6 6 2310 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.026993090457 2.893898364324 1 5 0 4 2031 2310 0132 2310 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397728021646 0.732033249850 3 1 5 5 3201 0132 1302 2031 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874082403864 0.931327645152 4 4 1 3 2031 1302 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346474415867 0.587646902858 2 6 2 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.545938871945 0.277502290694 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 1039735677/15196160*c_0101_2*c_0110_4^15 - 54666698763/60784640*c_0101_2*c_0110_4^14 - 771325027047/243138560*c_0101_2*c_0110_4^13 + 114593709819/121569280*c_0101_2*c_0110_4^12 + 3755520360113/243138560*c_0101_2*c_0110_4^11 + 2191292763963/121569280*c_0101_2*c_0110_4^10 - 704904698367/48627712*c_0101_2*c_0110_4^9 - 12460286117313/243138560*c_0101_2*c_0110_4^8 - 2119386294309/60784640*c_0101_2*c_0110_4^7 + 819056506419/30392320*c_0101_2*c_0110_4^6 + 933237160713/15196160*c_0101_2*c_0110_4^5 + 130500139613/3799040*c_0101_2*c_0110_4^4 - 40906729131/3799040*c_0101_2*c_0110_4^3 - 48775030567/1899520*c_0101_2*c_0110_4^2 - 6740921289/474880*c_0101_2*c_0110_4 - 395423269/135680*c_0101_2, c_0011_0 - 1, c_0011_3 + 3428531/1899520*c_0101_2*c_0110_4^15 - 177030429/7598080*c_0101_2*c_0110_4^14 - 2673895681/30392320*c_0101_2*c_0110_4^13 - 81816729/7598080*c_0101_2*c_0110_4^12 + 10316858519/30392320*c_0101_2*c_0110_4^11 + 551628501/1085440*c_0101_2*c_0110_4^10 - 80968255/868352*c_0101_2*c_0110_4^9 - 29724000869/30392320*c_0101_2*c_0110_4^8 - 14151360529/15196160*c_0101_2*c_0110_4^7 + 1243723199/7598080*c_0101_2*c_0110_4^6 + 3808043663/3799040*c_0101_2*c_0110_4^5 + 1407258641/1899520*c_0101_2*c_0110_4^4 - 10961571/949760*c_0101_2*c_0110_4^3 - 166296227/474880*c_0101_2*c_0110_4^2 - 52604473/237440*c_0101_2*c_0110_4 - 727943/14840*c_0101_2, c_0011_5 - 310499/1085440*c_0101_2*c_0110_4^15 + 111553667/30392320*c_0101_2*c_0110_4^14 + 1763256063/121569280*c_0101_2*c_0110_4^13 - 50152061/60784640*c_0101_2*c_0110_4^12 - 8029731097/121569280*c_0101_2*c_0110_4^11 - 5143843757/60784640*c_0101_2*c_0110_4^10 + 1268990999/24313856*c_0101_2*c_0110_4^9 + 25842204277/121569280*c_0101_2*c_0110_4^8 + 1134334699/7598080*c_0101_2*c_0110_4^7 - 95935051/949760*c_0101_2*c_0110_4^6 - 905866141/3799040*c_0101_2*c_0110_4^5 - 493526099/3799040*c_0101_2*c_0110_4^4 + 10167403/237440*c_0101_2*c_0110_4^3 + 5458193/59360*c_0101_2*c_0110_4^2 + 22342967/474880*c_0101_2*c_0110_4 + 4132217/474880*c_0101_2, c_0011_6 + 2862753/1899520*c_0110_4^15 - 139236707/7598080*c_0110_4^14 - 2702326703/30392320*c_0110_4^13 - 1599574693/30392320*c_0110_4^12 + 9675266297/30392320*c_0110_4^11 + 19385055139/30392320*c_0110_4^10 + 483082249/6078464*c_0110_4^9 - 8284430103/7598080*c_0110_4^8 - 40074008419/30392320*c_0110_4^7 - 500272391/15196160*c_0110_4^6 + 9576771633/7598080*c_0110_4^5 + 4287245261/3799040*c_0110_4^4 + 27888097/271360*c_0110_4^3 - 464017917/949760*c_0110_4^2 - 169411513/474880*c_0110_4 - 20400329/237440, c_0101_0 - 669847/7598080*c_0110_4^15 + 5967399/4341760*c_0110_4^14 + 169533477/121569280*c_0110_4^13 - 781490439/60784640*c_0110_4^12 - 3132213443/121569280*c_0110_4^11 + 743211977/60784640*c_0110_4^10 + 2075784525/24313856*c_0110_4^9 + 10068934823/121569280*c_0110_4^8 - 67238531/1899520*c_0110_4^7 - 132725919/949760*c_0110_4^6 - 408996589/3799040*c_0110_4^5 + 2954377/542720*c_0110_4^4 + 32101359/474880*c_0110_4^3 + 432891/8480*c_0110_4^2 + 1083759/67840*c_0110_4 + 956083/474880, c_0101_2^2 - 2014489/1519616*c_0110_4^15 + 97698047/6078464*c_0110_4^14 + 1913317675/24313856*c_0110_4^13 + 609270975/12156928*c_0110_4^12 - 956049915/3473408*c_0110_4^11 - 6936294657/12156928*c_0110_4^10 - 2383194145/24313856*c_0110_4^9 + 3274756415/3473408*c_0110_4^8 + 901771809/759808*c_0110_4^7 + 118490361/1519616*c_0110_4^6 - 118068363/108544*c_0110_4^5 - 769293921/759808*c_0110_4^4 - 11265087/94976*c_0110_4^3 + 39817079/94976*c_0110_4^2 + 30065459/94976*c_0110_4 + 7369969/94976, c_0110_4^16 - 47/4*c_0110_4^15 - 1019/16*c_0110_4^14 - 251/4*c_0110_4^13 + 2921/16*c_0110_4^12 + 2025/4*c_0110_4^11 + 4429/16*c_0110_4^10 - 9959/16*c_0110_4^9 - 9405/8*c_0110_4^8 - 508*c_0110_4^7 + 702*c_0110_4^6 + 1098*c_0110_4^5 + 476*c_0110_4^4 - 224*c_0110_4^3 - 368*c_0110_4^2 - 176*c_0110_4 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB