Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 1696922031] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1682 geometric_solution 5.40711716 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 1 -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 0.436573482624 0.326299029740 0 3 0 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 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 1.516338857793 2.130041339109 5 0 5 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436573482624 0.326299029740 4 1 6 6 0132 0132 0132 1230 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 -1 0 0 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 -0.189283411982 1.058748914992 3 5 1 6 0132 0132 0132 3012 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 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 0.101375123820 0.446455556689 2 4 2 6 0132 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.516338857793 2.130041339109 3 5 4 3 3012 0321 1230 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469081620372 0.417595714872 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : d['c_1001_6'], 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_1001_6']), 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : 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_6, c_0101_1, c_0101_3, c_0101_5, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 429/22144*c_1001_3^8 + 3257/22144*c_1001_3^7 + 4721/22144*c_1001_3^6 + 8323/22144*c_1001_3^5 + 16769/11072*c_1001_3^4 + 2373/5536*c_1001_3^3 + 3729/2768*c_1001_3^2 + 101/1384*c_1001_3 + 431/692, c_0011_0 - 1, c_0011_6 + 85/5536*c_1001_3^8 + 605/5536*c_1001_3^7 + 837/5536*c_1001_3^6 + 2183/5536*c_1001_3^5 + 2491/2768*c_1001_3^4 + 671/1384*c_1001_3^3 + 1005/692*c_1001_3^2 - 105/346*c_1001_3 + 160/173, c_0101_1 - 63/5536*c_1001_3^8 - 367/5536*c_1001_3^7 - 311/5536*c_1001_3^6 - 2253/5536*c_1001_3^5 - 1081/2768*c_1001_3^4 - 1401/1384*c_1001_3^3 - 87/173*c_1001_3^2 - 431/346*c_1001_3 - 27/173, c_0101_3 - 55/2768*c_1001_3^8 - 249/2768*c_1001_3^7 + 69/2768*c_1001_3^6 - 1901/2768*c_1001_3^5 + 627/1384*c_1001_3^4 - 2405/1384*c_1001_3^3 + 867/692*c_1001_3^2 - 607/346*c_1001_3 + 200/173, c_0101_5 + 63/5536*c_1001_3^8 + 367/5536*c_1001_3^7 + 311/5536*c_1001_3^6 + 2253/5536*c_1001_3^5 + 1081/2768*c_1001_3^4 + 1401/1384*c_1001_3^3 + 87/173*c_1001_3^2 + 431/346*c_1001_3 + 27/173, c_1001_3^9 + 5*c_1001_3^8 + c_1001_3^7 + 35*c_1001_3^6 - 2*c_1001_3^5 + 88*c_1001_3^4 - 24*c_1001_3^3 + 96*c_1001_3^2 - 32*c_1001_3 + 64, c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB