Magma V2.19-8 Tue Aug 20 2013 16:19:16 on localhost [Seed = 1478083927] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3387 geometric_solution 6.55412437 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499862979210 1.347757862993 0 2 4 3 0132 3201 0132 0132 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 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 0.208436055646 0.807631227384 5 6 1 0 0132 0132 2310 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208436055646 0.807631227384 5 6 1 4 2103 0321 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.926712536879 1.128406417644 6 5 3 1 2031 0321 1230 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 0.442547688314 0.465274839003 2 6 3 4 0132 3012 2103 0321 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 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 0.926712536879 1.128406417644 5 2 4 3 1230 0132 1302 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442547688314 0.465274839003 ==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' : 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' : d['c_0101_4'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0110_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), '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' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_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_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 149*c_0110_3^4 - 207*c_0110_3^3 + 619*c_0110_3^2 + 80*c_0110_3 - 248, c_0011_0 - 1, c_0011_2 - c_0110_3, c_0011_4 - 2*c_0110_3^4 + 3*c_0110_3^3 - 9*c_0110_3^2 + 3, c_0101_0 - 2*c_0110_3^4 + 3*c_0110_3^3 - 8*c_0110_3^2 + 3, c_0101_1 - c_0110_3^4 + c_0110_3^3 - 4*c_0110_3^2 - 2*c_0110_3 + 2, c_0101_4 + 2*c_0110_3^4 - 3*c_0110_3^3 + 9*c_0110_3^2 - 3, c_0110_3^5 - 2*c_0110_3^4 + 5*c_0110_3^3 - 2*c_0110_3^2 - 2*c_0110_3 + 1 ], 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_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4787266120/273421*c_0110_3^7 + 4949749285/273421*c_0110_3^6 + 849149354/273421*c_0110_3^5 + 3100814981/273421*c_0110_3^4 - 318429293/273421*c_0110_3^3 - 1217215714/273421*c_0110_3^2 + 35720431/273421*c_0110_3 + 94096452/273421, c_0011_0 - 1, c_0011_2 + 139217221/273421*c_0110_3^7 + 1161443777/2187368*c_0110_3^6 + 35071645/546842*c_0110_3^5 + 328647383/1093684*c_0110_3^4 - 21324079/546842*c_0110_3^3 - 167801203/1093684*c_0110_3^2 + 9854023/2187368*c_0110_3 + 31018289/2187368, c_0011_4 - 32047080/273421*c_0110_3^7 - 23096177/273421*c_0110_3^6 + 4385685/273421*c_0110_3^5 - 18351591/273421*c_0110_3^4 + 9433321/273421*c_0110_3^3 + 7297461/273421*c_0110_3^2 - 1990149/273421*c_0110_3 - 493377/273421, c_0101_0 - 23068578/273421*c_0110_3^7 - 107537053/1093684*c_0110_3^6 - 3462447/273421*c_0110_3^5 - 24005513/546842*c_0110_3^4 + 350630/273421*c_0110_3^3 + 17675771/546842*c_0110_3^2 + 1368853/1093684*c_0110_3 - 3736985/1093684, c_0101_1 - 73308612/273421*c_0110_3^7 - 167589981/546842*c_0110_3^6 - 19164632/273421*c_0110_3^5 - 47452286/273421*c_0110_3^4 - 382382/273421*c_0110_3^3 + 20427628/273421*c_0110_3^2 + 1912579/546842*c_0110_3 - 3459189/546842, c_0101_4 + 177181628/273421*c_0110_3^7 + 373223955/546842*c_0110_3^6 + 29069989/273421*c_0110_3^5 + 109963831/273421*c_0110_3^4 - 10838868/273421*c_0110_3^3 - 50089484/273421*c_0110_3^2 + 1906309/546842*c_0110_3 + 8370071/546842, c_0110_3^8 + 5/8*c_0110_3^7 - 29/104*c_0110_3^6 + 29/52*c_0110_3^5 - 17/52*c_0110_3^4 - 1/4*c_0110_3^3 + 1/8*c_0110_3^2 + 1/52*c_0110_3 - 1/104 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB