Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 3229703592] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3157 geometric_solution 6.31068277 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 0 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974316588610 0.569244770026 3 0 2 4 0132 0132 1302 0132 0 0 0 0 0 1 -1 0 1 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 0 0 0 -1 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 0.703703667726 0.803741777141 1 5 3 0 2031 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -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 1 -1 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 0.703703667726 0.803741777141 1 5 2 4 0132 3201 1023 3201 0 0 0 0 0 0 1 -1 -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 1 0 -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 0.638889078309 0.255735175827 6 3 1 5 0132 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703703667726 0.803741777141 4 2 3 6 3120 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703703667726 0.803741777141 4 6 6 5 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974316588610 0.569244770026 ==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' : negation(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' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), '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' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : 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_2, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 41/1184*c_1001_0^7 - 209/1184*c_1001_0^6 - 655/1184*c_1001_0^5 - 1335/1184*c_1001_0^4 - 1903/1184*c_1001_0^3 - 511/296*c_1001_0^2 - 1329/1184*c_1001_0 - 7/296, c_0011_0 - 1, c_0011_2 - 19/2516*c_1001_0^7 - 3/2516*c_1001_0^6 + 339/2516*c_1001_0^5 + 587/2516*c_1001_0^4 + 1367/2516*c_1001_0^3 + 135/629*c_1001_0^2 + 1633/2516*c_1001_0 + 346/629, c_0101_0 + 3/37*c_1001_0^7 + 35/148*c_1001_0^6 + 39/74*c_1001_0^5 + 83/148*c_1001_0^4 + 12/37*c_1001_0^3 + 101/148*c_1001_0^2 + 65/148*c_1001_0 - 16/37, c_0101_2 - 19/2516*c_1001_0^7 - 3/2516*c_1001_0^6 + 339/2516*c_1001_0^5 + 587/2516*c_1001_0^4 + 1367/2516*c_1001_0^3 + 135/629*c_1001_0^2 + 1633/2516*c_1001_0 + 346/629, c_0101_3 - 115/1258*c_1001_0^7 - 283/1258*c_1001_0^6 - 729/1258*c_1001_0^5 - 817/1258*c_1001_0^4 - 1459/1258*c_1001_0^3 - 948/629*c_1001_0^2 - 1107/1258*c_1001_0 - 347/629, c_0101_6 + 619/5032*c_1001_0^7 + 1753/5032*c_1001_0^6 + 4449/5032*c_1001_0^5 + 5043/5032*c_1001_0^4 + 5917/5032*c_1001_0^3 + 3883/2516*c_1001_0^2 + 3541/5032*c_1001_0 + 149/1258, c_1001_0^8 + 3*c_1001_0^7 + 7*c_1001_0^6 + 9*c_1001_0^5 + 11*c_1001_0^4 + 18*c_1001_0^3 + 11*c_1001_0^2 + 16 ], 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_2, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 16*c_1001_0^7 + 32*c_1001_0^6 + 4*c_1001_0^5 - 60*c_1001_0^4 - 76*c_1001_0^3 - 18*c_1001_0^2 + 50*c_1001_0 + 16, c_0011_0 - 1, c_0011_2 + 8*c_1001_0^7 + 20*c_1001_0^6 + 14*c_1001_0^5 - 16*c_1001_0^4 - 34*c_1001_0^3 - 16*c_1001_0^2 + 17*c_1001_0 + 9, c_0101_0 - 10*c_1001_0^7 - 26*c_1001_0^6 - 20*c_1001_0^5 + 16*c_1001_0^4 + 40*c_1001_0^3 + 22*c_1001_0^2 - 17*c_1001_0 - 10, c_0101_2 + 8*c_1001_0^7 + 20*c_1001_0^6 + 14*c_1001_0^5 - 16*c_1001_0^4 - 34*c_1001_0^3 - 16*c_1001_0^2 + 17*c_1001_0 + 9, c_0101_3 + c_1001_0, c_0101_6 + 10*c_1001_0^7 + 26*c_1001_0^6 + 20*c_1001_0^5 - 16*c_1001_0^4 - 40*c_1001_0^3 - 22*c_1001_0^2 + 17*c_1001_0 + 10, c_1001_0^8 + 3*c_1001_0^7 + 3*c_1001_0^6 - c_1001_0^5 - 5*c_1001_0^4 - 4*c_1001_0^3 + c_1001_0^2 + 2*c_1001_0 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB