Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 3953817402] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1422 geometric_solution 5.25714778 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 -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 0.538167518437 0.152834783371 0 4 0 5 0132 0132 0213 0132 0 0 0 0 0 0 -1 1 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 0.742352668975 0.335482173086 5 4 3 0 0132 0321 2031 0132 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 1 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 0.618679778137 0.323798201373 4 5 0 2 0213 1302 0132 1302 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 -1 1 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 0.663057973734 0.976490761474 3 1 6 2 0213 0132 0132 0321 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.700556603515 0.851449276776 2 6 1 3 0132 3201 0132 2031 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454272945962 0.615113546646 6 6 5 4 1230 3012 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 -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 1.315765486629 0.915119090079 ==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_0101_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1603/59*c_1001_0^8 + 5457/59*c_1001_0^7 + 3754/59*c_1001_0^6 - 14382/59*c_1001_0^5 + 3486/59*c_1001_0^4 + 4397/59*c_1001_0^3 - 8360/59*c_1001_0^2 + 7385/59*c_1001_0 + 1162/59, c_0011_0 - 1, c_0011_2 + 20/59*c_1001_0^8 - 58/59*c_1001_0^7 - 74/59*c_1001_0^6 + 149/59*c_1001_0^5 - 10/59*c_1001_0^4 - 121/59*c_1001_0^3 + 141/59*c_1001_0^2 + 39/59*c_1001_0 - 23/59, c_0011_3 - 20/59*c_1001_0^8 + 58/59*c_1001_0^7 + 74/59*c_1001_0^6 - 149/59*c_1001_0^5 + 10/59*c_1001_0^4 + 121/59*c_1001_0^3 - 141/59*c_1001_0^2 - 39/59*c_1001_0 + 82/59, c_0101_0 - 7/59*c_1001_0^8 + 38/59*c_1001_0^7 - 39/59*c_1001_0^6 - 61/59*c_1001_0^5 + 92/59*c_1001_0^4 + 4/59*c_1001_0^3 + 48/59*c_1001_0^2 + 7/59*c_1001_0 - 48/59, c_0101_2 - 11/59*c_1001_0^8 + 26/59*c_1001_0^7 + 82/59*c_1001_0^6 - 138/59*c_1001_0^5 - 83/59*c_1001_0^4 + 158/59*c_1001_0^3 - 51/59*c_1001_0^2 + 11/59*c_1001_0 + 51/59, c_0101_6 - 28/59*c_1001_0^8 + 93/59*c_1001_0^7 + 80/59*c_1001_0^6 - 244/59*c_1001_0^5 - 45/59*c_1001_0^4 + 75/59*c_1001_0^3 - 44/59*c_1001_0^2 + 87/59*c_1001_0 + 44/59, c_1001_0^9 - 3*c_1001_0^8 - 4*c_1001_0^7 + 9*c_1001_0^6 + 2*c_1001_0^5 - 6*c_1001_0^4 + 5*c_1001_0^3 - 2*c_1001_0^2 - 4*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB