Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 240095957] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1753 geometric_solution 5.44399735 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 0 0 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 1.011308550615 0.798781158217 0 4 2 3 0132 3120 1302 2031 0 0 0 0 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 0 0 0 0 -1 0 1 1 0 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 0.391070093036 0.480962744814 1 0 5 5 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860725783988 1.400895523616 3 1 3 0 2031 1302 1302 0132 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 1 -1 0 1 0 -1 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611979840731 0.494429244118 6 1 0 6 0132 3120 0132 3201 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.224976008659 0.481786190647 2 5 2 5 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 -0.844004215584 0.697694177431 4 4 6 6 0132 2310 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 0 -1 0 1 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 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.979927778108 0.869471009400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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_0'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, 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 - c_0101_6^25 - 26*c_0101_6^24 + 35*c_0101_6^23 + 384*c_0101_6^22 - 367*c_0101_6^21 - 2524*c_0101_6^20 + 1946*c_0101_6^19 + 9804*c_0101_6^18 - 6224*c_0101_6^17 - 25184*c_0101_6^16 + 13044*c_0101_6^15 + 45333*c_0101_6^14 - 18711*c_0101_6^13 - 59163*c_0101_6^12 + 18861*c_0101_6^11 + 57218*c_0101_6^10 - 13673*c_0101_6^9 - 41465*c_0101_6^8 + 7254*c_0101_6^7 + 22345*c_0101_6^6 - 2742*c_0101_6^5 - 8578*c_0101_6^4 + 648*c_0101_6^3 + 2148*c_0101_6^2 - 105*c_0101_6 - 265, c_0011_0 - 1, c_0011_3 + c_0101_6^2 - 1, c_0011_5 + c_0101_6^16 - 10*c_0101_6^14 + 41*c_0101_6^12 - 90*c_0101_6^10 + 116*c_0101_6^8 - 91*c_0101_6^6 + 45*c_0101_6^4 - 14*c_0101_6^2 + 1, c_0101_0 + c_0101_6^5 - 3*c_0101_6^3 + 2*c_0101_6, c_0101_2 + c_0101_6^8 - 5*c_0101_6^6 + 8*c_0101_6^4 - 5*c_0101_6^2 + 1, c_0101_5 - c_0101_6^3 + 2*c_0101_6, c_0101_6^26 - 16*c_0101_6^24 - c_0101_6^23 + 114*c_0101_6^22 + 14*c_0101_6^21 - 479*c_0101_6^20 - 86*c_0101_6^19 + 1325*c_0101_6^18 + 307*c_0101_6^17 - 2552*c_0101_6^16 - 711*c_0101_6^15 + 3535*c_0101_6^14 + 1129*c_0101_6^13 - 3597*c_0101_6^12 - 1267*c_0101_6^11 + 2728*c_0101_6^10 + 1022*c_0101_6^9 - 1545*c_0101_6^8 - 594*c_0101_6^7 + 634*c_0101_6^6 + 241*c_0101_6^5 - 174*c_0101_6^4 - 61*c_0101_6^3 + 28*c_0101_6^2 + 7*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB