Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 2118116020] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1681 geometric_solution 5.40675919 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785727672898 0.855822165305 0 3 2 4 0132 0132 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214335291260 0.877962703621 1 4 0 3 2310 1023 0132 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 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 0.214335291260 0.877962703621 5 1 5 2 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096385142214 0.924722315438 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 1 -1 0 0 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 -0.262421988137 1.074935988564 3 3 6 6 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372872446233 0.235335439470 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.446695047666 0.418356895209 ==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' : 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' : 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_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : 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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 235445/12071*c_0101_5^18 + 5104577/12071*c_0101_5^16 - 34616209/12071*c_0101_5^14 + 105479948/12071*c_0101_5^12 - 157162195/12071*c_0101_5^10 + 110954443/12071*c_0101_5^8 - 32582172/12071*c_0101_5^6 + 4610541/12071*c_0101_5^4 - 2365516/12071*c_0101_5^2 + 668728/12071, c_0011_0 - 1, c_0011_2 - 11749/12071*c_0101_5^18 + 258447/12071*c_0101_5^16 - 1807199/12071*c_0101_5^14 + 5791746/12071*c_0101_5^12 - 9382330/12071*c_0101_5^10 + 7620770/12071*c_0101_5^8 - 2752121/12071*c_0101_5^6 + 321627/12071*c_0101_5^4 - 121143/12071*c_0101_5^2 + 59027/12071, c_0011_6 + 63430/12071*c_0101_5^18 - 1370227/12071*c_0101_5^16 + 9223448/12071*c_0101_5^14 - 27797585/12071*c_0101_5^12 + 40784357/12071*c_0101_5^10 - 28246812/12071*c_0101_5^8 + 8164647/12071*c_0101_5^6 - 1082598/12071*c_0101_5^4 + 540522/12071*c_0101_5^2 - 163532/12071, c_0101_0 + 167114/12071*c_0101_5^19 - 3612973/12071*c_0101_5^17 + 24361172/12071*c_0101_5^15 - 73610176/12071*c_0101_5^13 + 108437790/12071*c_0101_5^11 - 75614924/12071*c_0101_5^9 + 22176510/12071*c_0101_5^7 - 3079599/12071*c_0101_5^5 + 1451273/12071*c_0101_5^3 - 422154/12071*c_0101_5, c_0101_1 - 116254/12071*c_0101_5^19 + 2505876/12071*c_0101_5^17 - 16789189/12071*c_0101_5^15 + 50209977/12071*c_0101_5^13 - 72757076/12071*c_0101_5^11 + 49476748/12071*c_0101_5^9 - 14209114/12071*c_0101_5^7 + 2224451/12071*c_0101_5^5 - 1032252/12071*c_0101_5^3 + 266678/12071*c_0101_5, c_0101_3 - 47278/12071*c_0101_5^19 + 1028398/12071*c_0101_5^17 - 7024512/12071*c_0101_5^15 + 21678447/12071*c_0101_5^13 - 33050983/12071*c_0101_5^11 + 24374827/12071*c_0101_5^9 - 7748398/12071*c_0101_5^7 + 1058142/12071*c_0101_5^5 - 501662/12071*c_0101_5^3 + 173992/12071*c_0101_5, c_0101_5^20 - 22*c_0101_5^18 + 154*c_0101_5^16 - 496*c_0101_5^14 + 817*c_0101_5^12 - 701*c_0101_5^10 + 307*c_0101_5^8 - 70*c_0101_5^6 + 16*c_0101_5^4 - 6*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB