Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 88381500] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2443 geometric_solution 5.78787645 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.692711931277 0.742182365660 0 0 3 2 0132 3201 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605268038042 1.688012120718 4 5 1 3 0132 0132 0132 3012 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812082867249 0.803273142649 5 4 2 1 3201 3201 1230 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812082867249 0.803273142649 2 6 3 6 0132 0132 2310 1023 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859567335954 1.212306442929 5 2 5 3 2031 0132 1302 2310 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 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 0.577669764780 0.390622034631 6 4 6 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579754642501 0.272818874337 ==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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t - 2495*c_0101_3*c_0101_6^17 + 823541/128*c_0101_3*c_0101_6^16 + 7070177/128*c_0101_3*c_0101_6^15 - 2269387/16*c_0101_3*c_0101_6^14 - 55879681/128*c_0101_3*c_0101_6^13 + 66755131/64*c_0101_3*c_0101_6^12 + 212829115/128*c_0101_3*c_0101_6^11 - 193399031/64*c_0101_3*c_0101_6^10 - 117346295/32*c_0101_3*c_0101_6^9 + 334650799/128*c_0101_3*c_0101_6^8 + 608644961/128*c_0101_3*c_0101_6^7 + 64483981/64*c_0101_3*c_0101_6^6 - 84195601/64*c_0101_3*c_0101_6^5 - 84461309/128*c_0101_3*c_0101_6^4 + 12669037/128*c_0101_3*c_0101_6^3 + 7166983/64*c_0101_3*c_0101_6^2 + 303221/128*c_0101_3*c_0101_6 - 934815/128*c_0101_3, c_0011_0 - 1, c_0011_2 - 9087/256*c_0101_3*c_0101_6^17 + 11783/128*c_0101_3*c_0101_6^16 + 200217/256*c_0101_3*c_0101_6^15 - 517685/256*c_0101_3*c_0101_6^14 - 1569775/256*c_0101_3*c_0101_6^13 + 3782265/256*c_0101_3*c_0101_6^12 + 5912837/256*c_0101_3*c_0101_6^11 - 5404457/128*c_0101_3*c_0101_6^10 - 12929089/256*c_0101_3*c_0101_6^9 + 1114903/32*c_0101_3*c_0101_6^8 + 16687635/256*c_0101_3*c_0101_6^7 + 513389/32*c_0101_3*c_0101_6^6 - 4102667/256*c_0101_3*c_0101_6^5 - 35423/4*c_0101_3*c_0101_6^4 + 218747/256*c_0101_3*c_0101_6^3 + 341935/256*c_0101_3*c_0101_6^2 + 6967/128*c_0101_3*c_0101_6 - 20079/256*c_0101_3, c_0101_0 - 1175/128*c_0101_6^17 + 713/32*c_0101_6^16 + 26519/128*c_0101_6^15 - 63029/128*c_0101_6^14 - 216605/128*c_0101_6^13 + 463813/128*c_0101_6^12 + 862399/128*c_0101_6^11 - 665807/64*c_0101_6^10 - 1950041/128*c_0101_6^9 + 524777/64*c_0101_6^8 + 2426761/128*c_0101_6^7 + 180565/32*c_0101_6^6 - 573423/128*c_0101_6^5 - 180579/64*c_0101_6^4 + 22705/128*c_0101_6^3 + 54195/128*c_0101_6^2 + 891/32*c_0101_6 - 3369/128, c_0101_1 + 13133/256*c_0101_3*c_0101_6^17 - 17493/128*c_0101_3*c_0101_6^16 - 287115/256*c_0101_3*c_0101_6^15 + 768943/256*c_0101_3*c_0101_6^14 + 2219485/256*c_0101_3*c_0101_6^13 - 5633611/256*c_0101_3*c_0101_6^12 - 8189999/256*c_0101_3*c_0101_6^11 + 8137275/128*c_0101_3*c_0101_6^10 + 17709747/256*c_0101_3*c_0101_6^9 - 1791281/32*c_0101_3*c_0101_6^8 - 23499705/256*c_0101_3*c_0101_6^7 - 528927/32*c_0101_3*c_0101_6^6 + 6672273/256*c_0101_3*c_0101_6^5 + 96941/8*c_0101_3*c_0101_6^4 - 538673/256*c_0101_3*c_0101_6^3 - 532317/256*c_0101_3*c_0101_6^2 - 2805/128*c_0101_3*c_0101_6 + 33581/256*c_0101_3, c_0101_3^2 - 809/128*c_0101_6^17 + 473/32*c_0101_6^16 + 18533/128*c_0101_6^15 - 42067/128*c_0101_6^14 - 155091/128*c_0101_6^13 + 312383/128*c_0101_6^12 + 637221/128*c_0101_6^11 - 454605/64*c_0101_6^10 - 1473319/128*c_0101_6^9 + 365067/64*c_0101_6^8 + 1831307/128*c_0101_6^7 + 134123/32*c_0101_6^6 - 485705/128*c_0101_6^5 - 150393/64*c_0101_6^4 + 25139/128*c_0101_6^3 + 49389/128*c_0101_6^2 + 761/32*c_0101_6 - 3379/128, c_0101_4 - 6511/256*c_0101_6^17 + 8359/128*c_0101_6^16 + 144057/256*c_0101_6^15 - 367749/256*c_0101_6^14 - 1137631/256*c_0101_6^13 + 2692121/256*c_0101_6^12 + 4328421/256*c_0101_6^11 - 3857257/128*c_0101_6^10 - 9524849/256*c_0101_6^9 + 796747/32*c_0101_6^8 + 12225491/256*c_0101_6^7 + 380953/32*c_0101_6^6 - 3036283/256*c_0101_6^5 - 26405/4*c_0101_6^4 + 165499/256*c_0101_6^3 + 259807/256*c_0101_6^2 + 5559/128*c_0101_6 - 15855/256, c_0101_6^18 - 3*c_0101_6^17 - 21*c_0101_6^16 + 66*c_0101_6^15 + 150*c_0101_6^14 - 488*c_0101_6^13 - 484*c_0101_6^12 + 1465*c_0101_6^11 + 945*c_0101_6^10 - 1591*c_0101_6^9 - 1445*c_0101_6^8 + 325*c_0101_6^7 + 653*c_0101_6^6 + 59*c_0101_6^5 - 133*c_0101_6^4 - 28*c_0101_6^3 + 15*c_0101_6^2 + 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.240 seconds, Total memory usage: 32.09MB