Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 54697927] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0422 geometric_solution 4.47867678 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416506271394 0.088544427214 0 3 0 3 0132 0132 1023 2310 0 0 0 0 0 -1 1 0 0 0 -1 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 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 -2.442420849813 2.769844337699 2 0 2 0 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565629425310 0.018509833761 1 1 4 5 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 -1 0 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 -1 1 1 0 -1 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 0.214529702841 0.505321717387 6 5 5 3 0132 3012 2031 0132 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 -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 0.864199433961 0.797904099359 4 6 3 4 1230 2310 0132 1302 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 -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 0.864199433961 0.797904099359 4 6 6 5 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726571453790 1.114401030501 ==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' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0110_2']})} 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_4, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 9423/88*c_0110_2^22 - 809/11*c_0110_2^21 - 184461/88*c_0110_2^20 + 14173/11*c_0110_2^19 + 1549477/88*c_0110_2^18 - 75731/8*c_0110_2^17 - 7292147/88*c_0110_2^16 + 1661831/44*c_0110_2^15 + 2631575/11*c_0110_2^14 - 7793311/88*c_0110_2^13 - 38347101/88*c_0110_2^12 + 5430043/44*c_0110_2^11 + 10896929/22*c_0110_2^10 - 8674711/88*c_0110_2^9 - 29384713/88*c_0110_2^8 + 1817689/44*c_0110_2^7 + 1314727/11*c_0110_2^6 - 344517/44*c_0110_2^5 - 811887/44*c_0110_2^4 + 43753/44*c_0110_2^3 + 56777/44*c_0110_2^2 - 33417/88*c_0110_2 - 4379/88, c_0011_0 - 1, c_0011_4 + 3*c_0110_2^22 - c_0110_2^21 - 60*c_0110_2^20 + 16*c_0110_2^19 + 516*c_0110_2^18 - 102*c_0110_2^17 - 2492*c_0110_2^16 + 316*c_0110_2^15 + 7402*c_0110_2^14 - 409*c_0110_2^13 - 13913*c_0110_2^12 - 206*c_0110_2^11 + 16383*c_0110_2^10 + 1311*c_0110_2^9 - 11517*c_0110_2^8 - 1562*c_0110_2^7 + 4362*c_0110_2^6 + 760*c_0110_2^5 - 740*c_0110_2^4 - 124*c_0110_2^3 + 59*c_0110_2^2 - 3*c_0110_2 - 5, c_0101_0 + c_0110_2^3 - 2*c_0110_2, c_0101_1 - c_0110_2^2 + 1, c_0101_4 - c_0110_2^8 + 7*c_0110_2^6 - 15*c_0110_2^4 + 10*c_0110_2^2 - 1, c_0101_5 - c_0110_2^4 + 3*c_0110_2^2 - 1, c_0110_2^23 - 2*c_0110_2^22 - 19*c_0110_2^21 + 38*c_0110_2^20 + 155*c_0110_2^19 - 309*c_0110_2^18 - 711*c_0110_2^17 + 1404*c_0110_2^16 + 2020*c_0110_2^15 - 3905*c_0110_2^14 - 3697*c_0110_2^13 + 6848*c_0110_2^12 + 4400*c_0110_2^11 - 7513*c_0110_2^10 - 3357*c_0110_2^9 + 4932*c_0110_2^8 + 1572*c_0110_2^7 - 1758*c_0110_2^6 - 414*c_0110_2^5 + 290*c_0110_2^4 + 50*c_0110_2^3 - 27*c_0110_2^2 + c_0110_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB