Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 4071845395] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2067 geometric_solution 5.58636161 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 1 0 -1 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 -0.730755554760 0.517807366499 0 1 0 1 0132 1302 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264244846927 1.241626132331 4 3 5 0 0132 2031 0132 0132 0 0 0 0 0 0 0 0 1 0 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 0 -1 0 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 0.299120595867 0.576155019435 2 4 0 5 1302 0132 0132 0132 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 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 0.299120595867 0.576155019435 2 3 4 4 0132 0132 1230 3012 0 0 0 0 0 1 -1 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 0 0 0 1 0 -1 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 0.353223889599 0.596084186509 6 6 3 2 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -1 1 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 -0.009005990339 2.649430281767 5 6 5 6 0132 1302 2310 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.412938342244 0.644727724074 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], '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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2564235/6559*c_1100_0^5 + 55424272/6559*c_1100_0^4 + 232436852/6559*c_1100_0^3 - 70171223/6559*c_1100_0^2 - 64643263/6559*c_1100_0 + 10142687/6559, c_0011_0 - 1, c_0011_2 + 63/1874*c_1100_0^5 + 709/937*c_1100_0^4 + 6987/1874*c_1100_0^3 + 4633/1874*c_1100_0^2 + 1297/1874*c_1100_0 - 633/937, c_0011_5 + 101/937*c_1100_0^5 + 4383/1874*c_1100_0^4 + 9372/937*c_1100_0^3 - 2829/1874*c_1100_0^2 - 1389/1874*c_1100_0 + 715/1874, c_0101_0 + 3727/6559*c_0101_5*c_1100_0^5 + 162405/13118*c_0101_5*c_1100_0^4 + 351857/6559*c_0101_5*c_1100_0^3 - 83983/13118*c_0101_5*c_1100_0^2 - 207317/13118*c_0101_5*c_1100_0 + 3655/13118*c_0101_5, c_0101_2 - 63/1874*c_1100_0^5 - 709/937*c_1100_0^4 - 6987/1874*c_1100_0^3 - 4633/1874*c_1100_0^2 - 1297/1874*c_1100_0 - 304/937, c_0101_5^2 - 64/937*c_1100_0^5 - 1500/937*c_1100_0^4 - 8258/937*c_1100_0^3 - 9689/937*c_1100_0^2 - 1972/937*c_1100_0 + 126/937, c_1100_0^6 + 22*c_1100_0^5 + 99*c_1100_0^4 + 8*c_1100_0^3 - 34*c_1100_0^2 - 6*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3979/26752*c_1100_0^7 - 35313/26752*c_1100_0^6 + 173363/26752*c_1100_0^5 - 505471/26752*c_1100_0^4 + 469671/13376*c_1100_0^3 - 294183/6688*c_1100_0^2 + 601/16*c_1100_0 - 26779/1672, c_0011_0 - 1, c_0011_2 - 21/304*c_1100_0^7 + 169/304*c_1100_0^6 - 795/304*c_1100_0^5 + 2179/304*c_1100_0^4 - 975/76*c_1100_0^3 + 302/19*c_1100_0^2 - 25/2*c_1100_0 + 97/19, c_0011_5 - 1/76*c_1100_0^7 + 17/152*c_1100_0^6 - 73/152*c_1100_0^5 + 165/152*c_1100_0^4 - 157/152*c_1100_0^3 - 35/76*c_1100_0^2 + 2*c_1100_0 - 34/19, c_0101_0 - 177/1216*c_0101_5*c_1100_0^7 + 1571/1216*c_0101_5*c_1100_0^6 - 7705/1216*c_0101_5*c_1100_0^5 + 22573/1216*c_0101_5*c_1100_0^4 - 21069/608*c_0101_5*c_1100_0^3 + 13485/304*c_0101_5*c_1100_0^2 - 301/8*c_0101_5*c_1100_0 + 1317/76*c_0101_5, c_0101_2 + 1, c_0101_5^2 + 3/152*c_1100_0^7 - 35/152*c_1100_0^6 + 195/152*c_1100_0^5 - 637/152*c_1100_0^4 + 645/76*c_1100_0^3 - 203/19*c_1100_0^2 + 8*c_1100_0 - 63/19, c_1100_0^8 - 10*c_1100_0^7 + 54*c_1100_0^6 - 180*c_1100_0^5 + 397*c_1100_0^4 - 610*c_1100_0^3 + 660*c_1100_0^2 - 472*c_1100_0 + 176 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB