Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 2614757245] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1850 geometric_solution 5.49357116 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -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 -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 0.467779509859 0.593001125405 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 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 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 0 0 0 0.746638083821 0.881147097572 3 0 4 1 3201 0132 3201 3012 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 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 0.746638083821 0.881147097572 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.247933604462 0.964938982601 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 -1 1 0 0 1 -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 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.869636167922 0.478481600084 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 0 -1 1 0 0 1 -1 -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 0 1 -1 0 0 0 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 0.826381555650 0.469007699322 5 5 6 6 0132 3201 1230 3012 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 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 0.516166874380 0.212117308814 ==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' : 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' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 573120/21901*c_0101_5*c_0101_6^13 + 84530/21901*c_0101_5*c_0101_6^12 - 4576031/21901*c_0101_5*c_0101_6^11 + 1743672/21901*c_0101_5*c_0101_6^10 + 3058537/21901*c_0101_5*c_0101_6^9 - 429547/21901*c_0101_5*c_0101_6^8 + 18845617/21901*c_0101_5*c_0101_6^7 - 10546187/21901*c_0101_5*c_0101_6^6 - 31884261/21901*c_0101_5*c_0101_6^5 + 15761137/21901*c_0101_5*c_0101_6^4 + 9580083/21901*c_0101_5*c_0101_6^3 - 8993944/21901*c_0101_5*c_0101_6^2 + 5720115/21901*c_0101_5*c_0101_6 + 2557721/21901*c_0101_5, c_0011_0 - 1, c_0011_4 + 26530/21901*c_0101_5*c_0101_6^13 + 6892/21901*c_0101_5*c_0101_6^12 - 183181/21901*c_0101_5*c_0101_6^11 + 63631/21901*c_0101_5*c_0101_6^10 - 30835/21901*c_0101_5*c_0101_6^9 + 76706/21901*c_0101_5*c_0101_6^8 + 747713/21901*c_0101_5*c_0101_6^7 - 307288/21901*c_0101_5*c_0101_6^6 - 762368/21901*c_0101_5*c_0101_6^5 + 236716/21901*c_0101_5*c_0101_6^4 + 120600/21901*c_0101_5*c_0101_6^3 - 116273/21901*c_0101_5*c_0101_6^2 - 3449/21901*c_0101_5*c_0101_6 + 74317/21901*c_0101_5, c_0101_0 + 17120/21901*c_0101_6^13 + 21240/21901*c_0101_6^12 - 113799/21901*c_0101_6^11 - 70502/21901*c_0101_6^10 + 18803/21901*c_0101_6^9 - 2162/21901*c_0101_6^8 + 554050/21901*c_0101_6^7 + 268648/21901*c_0101_6^6 - 655926/21901*c_0101_6^5 - 196529/21901*c_0101_6^4 + 127124/21901*c_0101_6^3 - 117155/21901*c_0101_6^2 - 10724/21901*c_0101_6 + 21206/21901, c_0101_1 + 442/21901*c_0101_6^13 + 6847/21901*c_0101_6^12 - 2708/21901*c_0101_6^11 - 38309/21901*c_0101_6^10 + 30901/21901*c_0101_6^9 - 56543/21901*c_0101_6^8 + 31593/21901*c_0101_6^7 + 158678/21901*c_0101_6^6 - 123968/21901*c_0101_6^5 + 26833/21901*c_0101_6^4 + 110730/21901*c_0101_6^3 - 140984/21901*c_0101_6^2 - 28550/21901*c_0101_6 + 4663/21901, c_0101_2 - 21206/21901*c_0101_5*c_0101_6^13 - 17815/21901*c_0101_5*c_0101_6^12 + 149103/21901*c_0101_5*c_0101_6^11 + 33840/21901*c_0101_5*c_0101_6^10 - 43173/21901*c_0101_5*c_0101_6^9 - 14633/21901*c_0101_5*c_0101_6^8 - 659394/21901*c_0101_5*c_0101_6^7 - 104893/21901*c_0101_5*c_0101_6^6 + 909141/21901*c_0101_5*c_0101_6^5 + 24611/21901*c_0101_5*c_0101_6^4 - 274512/21901*c_0101_5*c_0101_6^3 + 223292/21901*c_0101_5*c_0101_6^2 - 10081/21901*c_0101_5*c_0101_6 - 98781/21901*c_0101_5, c_0101_5^2 + 190021/416119*c_0101_6^13 + 97120/416119*c_0101_6^12 - 1198985/416119*c_0101_6^11 + 209410/416119*c_0101_6^10 - 755770/416119*c_0101_6^9 + 404201/416119*c_0101_6^8 + 5354512/416119*c_0101_6^7 - 858215/416119*c_0101_6^6 - 3108516/416119*c_0101_6^5 + 395299/416119*c_0101_6^4 - 1452822/416119*c_0101_6^3 - 806779/416119*c_0101_6^2 + 257256/416119*c_0101_6 + 166927/416119, c_0101_6^14 - c_0101_6^13 - 7*c_0101_6^12 + 11*c_0101_6^11 - 6*c_0101_6^10 + 6*c_0101_6^9 + 25*c_0101_6^8 - 47*c_0101_6^7 - 7*c_0101_6^6 + 37*c_0101_6^5 - 16*c_0101_6^4 + 6*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB