Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 762098146] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0381 geometric_solution 4.44038098 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0 0 2.281192203573 0.400736368609 0 2 2 0 3201 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 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 -0.374029227846 0.798705131924 1 1 3 4 2310 0132 0132 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 -1 1 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 -0.276277223446 0.481439200476 4 5 4 2 1230 0132 2031 0132 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 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775202993726 0.797588617978 5 3 2 3 2310 3012 0132 1302 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 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 0.775202993726 0.797588617978 6 3 4 6 0132 0132 3201 1023 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 -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 0 0 0 1.178431800732 0.426896622356 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 -1 1 0 0 0 1 -1 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 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 1.556331656434 0.244229845149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 4671184363/5103225*c_0101_6^15 - 2828665422/567025*c_0101_6^14 + 12752047862/567025*c_0101_6^13 + 79588102753/1020645*c_0101_6^12 + 134921288648/5103225*c_0101_6^11 - 130943707264/1020645*c_0101_6^10 - 635882381293/5103225*c_0101_6^9 + 865997115847/5103225*c_0101_6^8 + 735226460312/5103225*c_0101_6^7 - 1035223935391/5103225*c_0101_6^6 - 71597318734/1701075*c_0101_6^5 + 71281113244/567025*c_0101_6^4 - 140156367661/5103225*c_0101_6^3 - 126062652382/5103225*c_0101_6^2 + 68119104914/5103225*c_0101_6 - 9652151218/5103225, c_0011_0 - 1, c_0011_1 + 8103083/22681*c_0101_6^15 + 46439687/22681*c_0101_6^14 - 185249214/22681*c_0101_6^13 - 737580277/22681*c_0101_6^12 - 457447402/22681*c_0101_6^11 + 929645644/22681*c_0101_6^10 + 1289809231/22681*c_0101_6^9 - 1080581334/22681*c_0101_6^8 - 1434452576/22681*c_0101_6^7 + 1343548275/22681*c_0101_6^6 + 595689275/22681*c_0101_6^5 - 874486939/22681*c_0101_6^4 + 78984494/22681*c_0101_6^3 + 187686468/22681*c_0101_6^2 - 76439599/22681*c_0101_6 + 8920202/22681, c_0011_3 - 31958373/22681*c_0101_6^15 - 177803904/22681*c_0101_6^14 + 762782209/22681*c_0101_6^13 + 2795537822/22681*c_0101_6^12 + 1285450497/22681*c_0101_6^11 - 4112599043/22681*c_0101_6^10 - 4596601889/22681*c_0101_6^9 + 5249955668/22681*c_0101_6^8 + 5217489367/22681*c_0101_6^7 - 6369241240/22681*c_0101_6^6 - 1759368714/22681*c_0101_6^5 + 4007119343/22681*c_0101_6^4 - 733709723/22681*c_0101_6^3 - 806322234/22681*c_0101_6^2 + 407096016/22681*c_0101_6 - 55872003/22681, c_0101_0 - 2968017/22681*c_0101_6^15 - 15647834/22681*c_0101_6^14 + 75884508/22681*c_0101_6^13 + 240293314/22681*c_0101_6^12 + 38332528/22681*c_0101_6^11 - 437832596/22681*c_0101_6^10 - 326975638/22681*c_0101_6^9 + 643468595/22681*c_0101_6^8 + 383556983/22681*c_0101_6^7 - 766516751/22681*c_0101_6^6 - 38865262/22681*c_0101_6^5 + 459767642/22681*c_0101_6^4 - 153102951/22681*c_0101_6^3 - 81931345/22681*c_0101_6^2 + 58408244/22681*c_0101_6 - 9690668/22681, c_0101_3 + 55238140/22681*c_0101_6^15 + 305708975/22681*c_0101_6^14 - 1328152207/22681*c_0101_6^13 - 4797891216/22681*c_0101_6^12 - 2064907473/22681*c_0101_6^11 + 7246006763/22681*c_0101_6^10 + 7801472852/22681*c_0101_6^9 - 9372095872/22681*c_0101_6^8 - 8890969049/22681*c_0101_6^7 + 11330025440/22681*c_0101_6^6 + 2867859157/22681*c_0101_6^5 - 7093940734/22681*c_0101_6^4 + 1392683566/22681*c_0101_6^3 + 1413646298/22681*c_0101_6^2 - 734951119/22681*c_0101_6 + 102768454/22681, c_0101_5 - 23913630/22681*c_0101_6^15 - 133514484/22681*c_0101_6^14 + 567957968/22681*c_0101_6^13 + 2101772609/22681*c_0101_6^12 + 1007239298/22681*c_0101_6^11 - 3038622913/22681*c_0101_6^10 - 3482909367/22681*c_0101_6^9 + 3842083178/22681*c_0101_6^8 + 3943506511/22681*c_0101_6^7 - 4672022266/22681*c_0101_6^6 - 1369296352/22681*c_0101_6^5 + 2949544411/22681*c_0101_6^4 - 511139216/22681*c_0101_6^3 - 597851525/22681*c_0101_6^2 + 295125831/22681*c_0101_6 - 39880008/22681, c_0101_6^16 + 5*c_0101_6^15 - 27*c_0101_6^14 - 74*c_0101_6^13 + 9*c_0101_6^12 + 151*c_0101_6^11 + 71*c_0101_6^10 - 245*c_0101_6^9 - 70*c_0101_6^8 + 291*c_0101_6^7 - 58*c_0101_6^6 - 156*c_0101_6^5 + 94*c_0101_6^4 + 12*c_0101_6^3 - 27*c_0101_6^2 + 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB