Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 3836049440] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0453 geometric_solution 4.49351520 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352914220874 0.188685526696 2 0 3 0 0132 2310 0132 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443447110369 0.989489503580 1 4 3 3 0132 0132 3012 1230 0 0 0 0 0 -1 1 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 1 -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 1.537571675944 1.457340648742 2 2 4 1 3012 1230 3201 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 0 0 1 0 -1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.537571675944 1.457340648742 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 1 0 -1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.186690031793 0.435209583247 4 6 4 6 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.042841696400 2.131777251457 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362753976010 0.094812157549 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 11695784631789/313880251780*c_0110_6^15 - 204852816882007/156940125890*c_0110_6^13 + 997228231209596/78470062945*c_0110_6^11 - 1425065779533901/62776050356*c_0110_6^9 - 6499098437353983/156940125890*c_0110_6^7 - 140600089386437/313880251780*c_0110_6^5 + 3118757703522123/313880251780*c_0110_6^3 + 112421148746279/313880251780*c_0110_6, c_0011_0 - 1, c_0011_1 + 422638842/15694012589*c_0110_6^14 - 29920986687/31388025178*c_0110_6^12 + 149680092136/15694012589*c_0110_6^10 - 627615085723/31388025178*c_0110_6^8 - 341485957797/15694012589*c_0110_6^6 + 95247400587/15694012589*c_0110_6^4 + 93291397759/31388025178*c_0110_6^2 - 17969296033/31388025178, c_0011_3 + 413863609/31388025178*c_0110_6^14 - 7108826284/15694012589*c_0110_6^12 + 131120399641/31388025178*c_0110_6^10 - 74364748661/15694012589*c_0110_6^8 - 356351179670/15694012589*c_0110_6^6 - 108804579885/31388025178*c_0110_6^4 + 182663401591/31388025178*c_0110_6^2 + 869246147/15694012589, c_0011_5 + 493483317/31388025178*c_0110_6^14 - 17271586515/31388025178*c_0110_6^12 + 167641912327/31388025178*c_0110_6^10 - 290844907541/31388025178*c_0110_6^8 - 302120801090/15694012589*c_0110_6^6 + 84432950527/31388025178*c_0110_6^4 + 89267418450/15694012589*c_0110_6^2 - 3734844911/31388025178, c_0101_0 + 2503850260/15694012589*c_0110_6^15 - 176115110655/31388025178*c_0110_6^13 + 866336470869/15694012589*c_0110_6^11 - 3303516701165/31388025178*c_0110_6^9 - 2489534120469/15694012589*c_0110_6^7 + 160414957887/15694012589*c_0110_6^5 + 1136121120317/31388025178*c_0110_6^3 - 7394427493/31388025178*c_0110_6, c_0101_3 - 1678550127/31388025178*c_0110_6^15 + 29379932691/15694012589*c_0110_6^13 - 571254654583/31388025178*c_0110_6^11 + 507655092404/15694012589*c_0110_6^9 + 912937244223/15694012589*c_0110_6^7 + 201442399809/31388025178*c_0110_6^5 - 301775220907/31388025178*c_0110_6^3 - 38739726542/15694012589*c_0110_6, c_0110_6^16 - 35*c_0110_6^14 + 340*c_0110_6^12 - 599*c_0110_6^10 - 1129*c_0110_6^8 - 47*c_0110_6^6 + 264*c_0110_6^4 + 18*c_0110_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB