Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 3532869562] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3156 geometric_solution 6.31022509 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 1 0 0 -1 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 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 0.602436315466 0.945648681634 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0 0 0 0.581599310834 0.644015493644 3 0 4 5 3201 0132 3201 2310 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581599310834 0.644015493644 4 1 4 2 1302 0132 2031 2310 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 -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 0 0 0 0.387468933192 0.855254926889 2 3 1 3 2310 2031 0132 1302 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 0 0 0 0 0 0 0 0 1 -1 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 0.812554643440 0.720349078504 2 6 6 1 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767285120582 0.542945304154 6 5 5 6 3012 0132 1023 1230 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 1.616444033629 0.498445849582 ==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' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 3421085/2366*c_0101_5*c_0101_6^12 - 145711/2366*c_0101_5*c_0101_6^11 - 2297826/169*c_0101_5*c_0101_6^10 + 76119/182*c_0101_5*c_0101_6^9 + 4756299/169*c_0101_5*c_0101_6^8 + 10596099/2366*c_0101_5*c_0101_6^7 - 39619396/1183*c_0101_5*c_0101_6^6 - 12619388/1183*c_0101_5*c_0101_6^5 + 24302393/1183*c_0101_5*c_0101_6^4 + 11927641/2366*c_0101_5*c_0101_6^3 - 12337177/1183*c_0101_5*c_0101_6^2 - 1558523/2366*c_0101_5*c_0101_6 + 3557031/1183*c_0101_5, c_0011_0 - 1, c_0011_4 + 532/13*c_0101_5*c_0101_6^12 - 173/13*c_0101_5*c_0101_6^11 - 376*c_0101_5*c_0101_6^10 + 1477/13*c_0101_5*c_0101_6^9 + 720*c_0101_5*c_0101_6^8 - 490/13*c_0101_5*c_0101_6^7 - 11254/13*c_0101_5*c_0101_6^6 - 1335/13*c_0101_5*c_0101_6^5 + 6784/13*c_0101_5*c_0101_6^4 + 412/13*c_0101_5*c_0101_6^3 - 3281/13*c_0101_5*c_0101_6^2 + 382/13*c_0101_5*c_0101_6 + 714/13*c_0101_5, c_0101_0 + c_0101_6^2 - 1, c_0101_1 + 348/13*c_0101_6^12 - 107/13*c_0101_6^11 - 3203/13*c_0101_6^10 + 912/13*c_0101_6^9 + 6170/13*c_0101_6^8 - 231/13*c_0101_6^7 - 7406/13*c_0101_6^6 - 1003/13*c_0101_6^5 + 4462/13*c_0101_6^4 + 355/13*c_0101_6^3 - 2155/13*c_0101_6^2 + 212/13*c_0101_6 + 486/13, c_0101_2 - 22/13*c_0101_5*c_0101_6^12 - 23/13*c_0101_5*c_0101_6^11 + 18*c_0101_5*c_0101_6^10 + 202/13*c_0101_5*c_0101_6^9 - 51*c_0101_5*c_0101_6^8 - 393/13*c_0101_5*c_0101_6^7 + 790/13*c_0101_5*c_0101_6^6 + 608/13*c_0101_5*c_0101_6^5 - 551/13*c_0101_5*c_0101_6^4 - 361/13*c_0101_5*c_0101_6^3 + 280/13*c_0101_5*c_0101_6^2 + 123/13*c_0101_5*c_0101_6 - 126/13*c_0101_5, c_0101_5^2 - 8904/767*c_0101_6^12 + 2718/767*c_0101_6^11 + 81984/767*c_0101_6^10 - 23236/767*c_0101_6^9 - 158022/767*c_0101_6^8 + 6330/767*c_0101_6^7 + 188997/767*c_0101_6^6 + 24640/767*c_0101_6^5 - 1926/13*c_0101_6^4 - 8005/767*c_0101_6^3 + 54586/767*c_0101_6^2 - 5808/767*c_0101_6 - 12538/767, c_0101_6^13 - c_0101_6^12 - 9*c_0101_6^11 + 9*c_0101_6^10 + 16*c_0101_6^9 - 13*c_0101_6^8 - 21*c_0101_6^7 + 12*c_0101_6^6 + 15*c_0101_6^5 - 8*c_0101_6^4 - 7*c_0101_6^3 + 5*c_0101_6^2 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB