Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 4071845415] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1232 geometric_solution 5.12924663 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 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 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 2.247302399107 0.764654861297 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.640338627740 0.105956308051 0 3 4 0 3201 0132 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 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 0.678188143380 0.887414455184 5 2 6 4 0132 0132 0132 3201 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 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 0.008632532026 0.797036731047 6 3 5 2 1023 2310 2310 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 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 0.008632532026 0.797036731047 3 4 5 5 0132 3201 2031 1302 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 0 1 -1 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287725938416 0.446912083719 6 4 6 3 2031 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783073939130 0.994207976915 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], '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_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' : negation(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_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : 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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 16558285/790356*c_0101_5^9 - 1197124/197589*c_0101_5^8 + 58210333/395178*c_0101_5^7 + 10646663/131726*c_0101_5^6 + 11083411/395178*c_0101_5^5 - 95506/65863*c_0101_5^4 + 364741/18818*c_0101_5^3 + 846679/790356*c_0101_5^2 + 15027755/790356*c_0101_5 + 18605903/790356, c_0011_0 - 1, c_0011_2 + 31185/18818*c_0101_5^9 + 19011/18818*c_0101_5^8 - 236891/18818*c_0101_5^7 - 202673/18818*c_0101_5^6 + 74691/18818*c_0101_5^5 + 119135/18818*c_0101_5^4 - 73285/18818*c_0101_5^3 - 39266/9409*c_0101_5^2 + 25797/18818*c_0101_5 - 2089/9409, c_0011_4 - 88085/37636*c_0101_5^9 + 4506/9409*c_0101_5^8 + 342063/18818*c_0101_5^7 + 8661/18818*c_0101_5^6 - 225613/18818*c_0101_5^5 - 10633/9409*c_0101_5^4 + 166099/18818*c_0101_5^3 + 45983/37636*c_0101_5^2 - 80309/37636*c_0101_5 + 26743/37636, c_0101_0 - 7795/9409*c_0101_5^9 - 4699/18818*c_0101_5^8 + 112177/18818*c_0101_5^7 + 54443/18818*c_0101_5^6 + 4505/18818*c_0101_5^5 + 47765/18818*c_0101_5^4 + 13855/18818*c_0101_5^3 - 20579/18818*c_0101_5^2 + 2075/9409*c_0101_5 + 16577/18818, c_0101_1 + 80655/37636*c_0101_5^9 + 339/18818*c_0101_5^8 - 159933/9409*c_0101_5^7 - 35997/9409*c_0101_5^6 + 118025/9409*c_0101_5^5 + 52923/18818*c_0101_5^4 - 61753/9409*c_0101_5^3 - 104043/37636*c_0101_5^2 + 64015/37636*c_0101_5 - 11259/37636, c_0101_3 - 173405/37636*c_0101_5^9 - 227/9409*c_0101_5^8 + 650427/18818*c_0101_5^7 + 164879/18818*c_0101_5^6 - 239621/18818*c_0101_5^5 - 65818/9409*c_0101_5^4 + 225329/18818*c_0101_5^3 + 173699/37636*c_0101_5^2 - 42661/37636*c_0101_5 + 45927/37636, c_0101_5^10 + 3/5*c_0101_5^9 - 38/5*c_0101_5^8 - 32/5*c_0101_5^7 + 12/5*c_0101_5^6 + 18/5*c_0101_5^5 - 2*c_0101_5^4 - 13/5*c_0101_5^3 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB