Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 2294879400] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s241 geometric_solution 4.40238024 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 2310 1023 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 -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 -2.244346652164 3.667518648423 0 0 4 3 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090894061957 0.366085385054 2 0 2 0 2031 0132 1302 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 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 0.303830380264 0.091516374557 4 4 1 5 1230 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671208212110 1.127188484712 3 3 5 1 1023 3012 2310 0132 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671208212110 1.127188484712 5 4 3 5 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671208212110 1.127188484712 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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_1_5' : d['1'], 's_1_4' : 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_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_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : 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_5'], 'c_0011_4' : 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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), '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_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0110_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 31/4*c_0110_2^19 - 257/2*c_0110_2^17 + 3525/4*c_0110_2^15 - 6457/2*c_0110_2^13 + 13629/2*c_0110_2^11 - 33357/4*c_0110_2^9 + 22585/4*c_0110_2^7 - 1855*c_0110_2^5 + 791/4*c_0110_2^3 + 1/2*c_0110_2, c_0011_0 - 1, c_0011_3 - c_0110_2^19 + 17*c_0110_2^17 - 120*c_0110_2^15 + 455*c_0110_2^13 - 1002*c_0110_2^11 + 1296*c_0110_2^9 - 953*c_0110_2^7 + 372*c_0110_2^5 - 73*c_0110_2^3 + 7*c_0110_2, c_0011_5 + c_0110_2^6 - 5*c_0110_2^4 + 6*c_0110_2^2 - 1, c_0101_0 + c_0110_2^3 - 2*c_0110_2, c_0101_1 + c_0110_2^2 - 1, c_0110_2^20 - 18*c_0110_2^18 + 137*c_0110_2^16 - 574*c_0110_2^14 + 1444*c_0110_2^12 - 2231*c_0110_2^10 + 2075*c_0110_2^8 - 1086*c_0110_2^6 + 279*c_0110_2^4 - 30*c_0110_2^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB