Magma V2.19-8 Tue Aug 20 2013 16:19:16 on localhost [Seed = 1899031678] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3390 geometric_solution 6.55818168 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 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 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 0.868818479939 0.577904750167 0 4 5 0 0132 0132 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930755121558 1.002092286320 3 3 5 0 1302 1023 1302 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 0.713340476662 0.555684258304 2 2 0 4 1023 2031 0132 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713340476662 0.555684258304 6 1 3 5 0132 0132 2031 3201 0 0 0 0 0 0 0 0 1 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 0 0 1 -1 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 0.127561275175 0.679620015380 2 4 6 1 2031 2310 2310 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127561275175 0.679620015380 4 5 6 6 0132 3201 1230 3012 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 1 -1 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 0.306061672035 1.026870494767 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_4'], '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_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), '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_0'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0110_3']), '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_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 112847/4376*c_0101_6*c_0110_3^9 - 1425971/17504*c_0101_6*c_0110_3^8 + 22629/2188*c_0101_6*c_0110_3^7 + 1450607/8752*c_0101_6*c_0110_3^6 - 492977/8752*c_0101_6*c_0110_3^5 - 798405/4376*c_0101_6*c_0110_3^4 + 1591515/17504*c_0101_6*c_0110_3^3 + 212933/8752*c_0101_6*c_0110_3^2 + 57755/4376*c_0101_6*c_0110_3 + 6771/17504*c_0101_6, c_0011_0 - 1, c_0011_2 + 136/547*c_0101_6*c_0110_3^9 + 854/547*c_0101_6*c_0110_3^8 - 2160/547*c_0101_6*c_0110_3^7 - 2127/547*c_0101_6*c_0110_3^6 + 4886/547*c_0101_6*c_0110_3^5 + 3194/547*c_0101_6*c_0110_3^4 - 5075/547*c_0101_6*c_0110_3^3 - 1430/547*c_0101_6*c_0110_3^2 + 645/547*c_0101_6*c_0110_3 - 385/547*c_0101_6, c_0101_0 + 1752/547*c_0101_6*c_0110_3^9 - 2770/547*c_0101_6*c_0110_3^8 - 4691/547*c_0101_6*c_0110_3^7 + 6835/547*c_0101_6*c_0110_3^6 + 6023/547*c_0101_6*c_0110_3^5 - 6668/547*c_0101_6*c_0110_3^4 - 2119/547*c_0101_6*c_0110_3^3 + 1045/547*c_0101_6*c_0110_3^2 - 1923/547*c_0101_6*c_0110_3 + 92/547*c_0101_6, c_0101_1 + c_0110_3, c_0101_4 + 136/547*c_0110_3^9 + 854/547*c_0110_3^8 - 2160/547*c_0110_3^7 - 2127/547*c_0110_3^6 + 4886/547*c_0110_3^5 + 3194/547*c_0110_3^4 - 5075/547*c_0110_3^3 - 1430/547*c_0110_3^2 + 1192/547*c_0110_3 - 385/547, c_0101_6^2 - 1284/547*c_0110_3^9 + 2105/547*c_0110_3^8 + 3629/547*c_0110_3^7 - 6062/547*c_0110_3^6 - 5362/547*c_0110_3^5 + 7427/547*c_0110_3^4 + 3430/547*c_0110_3^3 - 3070/547*c_0110_3^2 - 700/547*c_0110_3 + 15/547, c_0110_3^10 - 9/4*c_0110_3^9 - 9/4*c_0110_3^8 + 13/2*c_0110_3^7 + 3*c_0110_3^6 - 17/2*c_0110_3^5 - 7/4*c_0110_3^4 + 15/4*c_0110_3^3 + 1/2*c_0110_3^2 + 1/4*c_0110_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB