Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 37985894] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s884 geometric_solution 5.57625963 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 0 -1 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 1.378770122762 1.043296222489 0 3 4 0 0132 0132 0132 3201 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036105500955 0.771946205097 0 4 3 0 3201 1023 1023 0132 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 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636166632050 0.516347013825 4 1 2 5 2310 0132 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269260884090 0.946548303344 2 5 3 1 1023 1023 3201 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 0.269260884090 0.946548303344 4 5 3 5 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627956618591 0.703750649155 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1128029216/2009289*c_0110_5^12 - 1390789661/4018578*c_0110_5^10 + 1322087108/669763*c_0110_5^8 - 7107100649/2679052*c_0110_5^6 + 748114334/669763*c_0110_5^4 - 788039331/2679052*c_0110_5^2 + 235972177/8037156, c_0011_0 - 1, c_0011_2 - 11846848/669763*c_0110_5^12 + 9871719/669763*c_0110_5^10 - 83238599/1339526*c_0110_5^8 + 129417185/1339526*c_0110_5^6 - 60666583/1339526*c_0110_5^4 + 6132023/669763*c_0110_5^2 - 1750513/1339526, c_0101_0 - 102312320/669763*c_0110_5^13 + 81279406/669763*c_0110_5^11 - 736180373/1339526*c_0110_5^9 + 545498962/669763*c_0110_5^7 - 559167039/1339526*c_0110_5^5 + 151365781/1339526*c_0110_5^3 - 9254617/669763*c_0110_5, c_0101_1 + 60406592/669763*c_0110_5^13 - 44055833/669763*c_0110_5^11 + 431206413/1339526*c_0110_5^9 - 618846371/1339526*c_0110_5^7 + 297461915/1339526*c_0110_5^5 - 42974889/669763*c_0110_5^3 + 12350357/1339526*c_0110_5, c_0101_3 - 71013376/669763*c_0110_5^13 + 54014096/669763*c_0110_5^11 - 252080038/669763*c_0110_5^9 + 739407753/1339526*c_0110_5^7 - 176519857/669763*c_0110_5^5 + 82318603/1339526*c_0110_5^3 - 9240287/1339526*c_0110_5, c_0110_5^14 - 61/64*c_0110_5^12 + 119/32*c_0110_5^10 - 189/32*c_0110_5^8 + 57/16*c_0110_5^6 - 75/64*c_0110_5^4 + 7/32*c_0110_5^2 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB