Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 3802365910] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2481 geometric_solution 5.81349590 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 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 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 0.578177476129 0.831432854220 0 2 6 5 0132 2310 0132 0132 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 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 0.222886374530 0.307207939872 2 0 2 1 2031 0132 1302 3201 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 0 0 0 0 0 0 0 0 0 0 -0.026072706985 2.773736567421 5 6 5 0 0132 2103 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 -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 0.692580922239 0.283444861674 5 4 0 4 1302 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 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 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 0.559371373031 0.437775933104 3 4 1 3 0132 2031 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.713109694713 1.287966356401 6 3 6 1 2310 2103 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 1 -1 -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 0.758212812406 1.621097789493 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), '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_3, c_0011_4, c_0011_6, c_0101_0, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 9813/4192*c_0110_2*c_1001_0^9 - 300927/16768*c_0110_2*c_1001_0^8 - 908739/16768*c_0110_2*c_1001_0^7 - 41319/524*c_0110_2*c_1001_0^6 - 333157/8384*c_0110_2*c_1001_0^5 + 616549/8384*c_0110_2*c_1001_0^4 + 2374385/16768*c_0110_2*c_1001_0^3 + 64311/16768*c_0110_2*c_1001_0^2 - 998627/8384*c_0110_2*c_1001_0 - 206607/4192*c_0110_2, c_0011_0 - 1, c_0011_3 + 63/1048*c_1001_0^9 + 465/1048*c_1001_0^8 + 1255/1048*c_1001_0^7 + 175/131*c_1001_0^6 + 17/262*c_1001_0^5 - 2209/1048*c_1001_0^4 - 2263/1048*c_1001_0^3 + 2787/1048*c_1001_0^2 + 1177/524*c_1001_0 - 321/262, c_0011_4 + 275/2096*c_1001_0^9 + 1643/2096*c_1001_0^8 + 1715/1048*c_1001_0^7 + 1207/1048*c_1001_0^6 - 989/1048*c_1001_0^5 - 7613/2096*c_1001_0^4 - 2459/2096*c_1001_0^3 + 604/131*c_1001_0^2 + 93/131*c_1001_0 - 423/262, c_0011_6 + 87/2096*c_0110_2*c_1001_0^9 + 293/1048*c_0110_2*c_1001_0^8 + 413/524*c_0110_2*c_1001_0^7 + 329/262*c_0110_2*c_1001_0^6 + 1201/1048*c_0110_2*c_1001_0^5 - 443/2096*c_0110_2*c_1001_0^4 - 1391/1048*c_0110_2*c_1001_0^3 - 967/1048*c_0110_2*c_1001_0^2 + 61/524*c_0110_2*c_1001_0 + 293/262*c_0110_2, c_0101_0 - 7/1048*c_0110_2*c_1001_0^9 + 115/2096*c_0110_2*c_1001_0^8 + 79/131*c_0110_2*c_1001_0^7 + 1955/1048*c_0110_2*c_1001_0^6 + 1379/524*c_0110_2*c_1001_0^5 + 785/524*c_0110_2*c_1001_0^4 - 4315/2096*c_0110_2*c_1001_0^3 - 1967/524*c_0110_2*c_1001_0^2 + 182/131*c_0110_2*c_1001_0 + 647/262*c_0110_2, c_0110_2^2 + c_1001_0 - 1, c_1001_0^10 + 7*c_1001_0^9 + 18*c_1001_0^8 + 18*c_1001_0^7 - 6*c_1001_0^6 - 43*c_1001_0^5 - 39*c_1001_0^4 + 40*c_1001_0^3 + 52*c_1001_0^2 - 16*c_1001_0 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB