Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 3920131380] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1162 geometric_solution 5.03913605 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0.432771643260 0.301706020003 0 3 2 4 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445045140079 1.084034153756 3 0 4 1 3201 0132 0132 3012 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 -1 1 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 0.445045140079 1.084034153756 5 1 5 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372012431905 2.098066827900 4 4 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900067848413 1.170636136552 3 3 6 6 0132 3201 3201 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 -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 0.263646274858 0.151407343597 5 6 5 6 2310 2310 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 -1 1 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 -1.752347111113 0.467376866271 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(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' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), '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_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), '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_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 381539057652103077/205295889895409*c_0110_2^15 + 658061201940597/205295889895409*c_0110_2^13 - 488933887283137053/205295889895409*c_0110_2^11 + 359695429378526763/205295889895409*c_0110_2^9 + 964834605888012420/205295889895409*c_0110_2^7 + 743906080542489140/205295889895409*c_0110_2^5 - 1132161956558586805/205295889895409*c_0110_2^3 + 57944319218867612/205295889895409*c_0110_2, c_0011_0 - 1, c_0011_4 + 1321350986510343/12076228817377*c_0110_2^15 + 36251725993155/12076228817377*c_0110_2^13 + 1719287352683712/12076228817377*c_0110_2^11 - 1177300753224323/12076228817377*c_0110_2^9 - 3326677599484970/12076228817377*c_0110_2^7 - 2661127890099008/12076228817377*c_0110_2^5 + 3793102511856081/12076228817377*c_0110_2^3 - 176107309649298/12076228817377*c_0110_2, c_0011_6 - 176574004028055/12076228817377*c_0110_2^14 + 2020180713111/12076228817377*c_0110_2^12 - 225631186520490/12076228817377*c_0110_2^10 + 171567588775340/12076228817377*c_0110_2^8 + 448639627696451/12076228817377*c_0110_2^6 + 343215089698626/12076228817377*c_0110_2^4 - 527777869356511/12076228817377*c_0110_2^2 + 24887557998733/12076228817377, c_0101_0 - 323799817340340/205295889895409*c_0110_2^14 - 118327763920005/205295889895409*c_0110_2^12 - 420256047530583/205295889895409*c_0110_2^10 + 180815721400694/205295889895409*c_0110_2^8 + 922338913948484/205295889895409*c_0110_2^6 + 991534536614194/205295889895409*c_0110_2^4 - 763955585381019/205295889895409*c_0110_2^2 - 204971319616995/205295889895409, c_0101_1 + 1059391709228556/205295889895409*c_0110_2^14 + 118109947086009/205295889895409*c_0110_2^12 + 1468338408006399/205295889895409*c_0110_2^10 - 772667554229663/205295889895409*c_0110_2^8 - 2604781717066816/205295889895409*c_0110_2^6 - 2208625971663064/205295889895409*c_0110_2^4 + 2667840586467617/205295889895409*c_0110_2^2 - 54884390500473/205295889895409, c_0101_3 + 1254052698575661/12076228817377*c_0110_2^15 - 3007712464650/12076228817377*c_0110_2^13 + 1624739881189239/12076228817377*c_0110_2^11 - 1165896483865902/12076228817377*c_0110_2^9 - 3133693428708893/12076228817377*c_0110_2^7 - 2425723324483844/12076228817377*c_0110_2^5 + 3686386197400445/12076228817377*c_0110_2^3 - 260487493194865/12076228817377*c_0110_2, c_0110_2^16 + 35/27*c_0110_2^12 - 677/729*c_0110_2^10 - 608/243*c_0110_2^8 - 1418/729*c_0110_2^6 + 2138/729*c_0110_2^4 - 145/729*c_0110_2^2 + 1/729 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB