Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 1360055686] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1553 geometric_solution 5.34272228 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 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 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 0 0 0 0.219954229530 1.596713105672 3 0 5 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 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 0.422887629334 0.140130630240 4 5 0 3 1230 0132 0132 3201 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 1 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 0.446379879544 0.565921914553 1 2 6 6 0132 2310 0132 2031 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 -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 1.011394853494 1.874872886097 6 2 1 5 0132 3012 0132 3120 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.253553514094 1.369377285870 4 2 6 1 3120 0132 0321 0132 0 0 0 0 0 -1 1 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 -1 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 0.656784223754 0.749056968650 4 3 5 3 0132 1302 0321 0132 0 0 0 0 0 1 -1 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 -1 1 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 -0.699039427900 0.597295012771 ==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' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_1001_1']})} 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_1, c_0101_3, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 587101/410428*c_1001_3^8 - 2537313/205214*c_1001_3^7 + 2496455/102607*c_1001_3^6 + 5509343/410428*c_1001_3^5 - 994781/410428*c_1001_3^4 - 13515243/205214*c_1001_3^3 - 4234079/205214*c_1001_3^2 - 12281653/205214*c_1001_3 + 6980531/410428, c_0011_0 - 1, c_0011_2 - 22447/102607*c_1001_3^8 + 197048/102607*c_1001_3^7 - 402237/102607*c_1001_3^6 - 226493/102607*c_1001_3^5 + 358303/102607*c_1001_3^4 + 412076/102607*c_1001_3^3 + 906766/102607*c_1001_3^2 + 380716/102607*c_1001_3 + 51018/102607, c_0011_4 + 2545/102607*c_1001_3^8 - 25335/102607*c_1001_3^7 + 72268/102607*c_1001_3^6 - 29265/102607*c_1001_3^5 - 70834/102607*c_1001_3^4 - 33638/102607*c_1001_3^3 + 23400/102607*c_1001_3^2 + 154196/102607*c_1001_3 + 77615/102607, c_0101_1 - 4311/102607*c_1001_3^8 + 31828/102607*c_1001_3^7 - 25090/102607*c_1001_3^6 - 149191/102607*c_1001_3^5 + 8429/102607*c_1001_3^4 + 210225/102607*c_1001_3^3 + 211538/102607*c_1001_3^2 + 233416/102607*c_1001_3 + 54389/102607, c_0101_3 - 5137/102607*c_1001_3^8 + 54968/102607*c_1001_3^7 - 185462/102607*c_1001_3^6 + 181836/102607*c_1001_3^5 + 68833/102607*c_1001_3^4 - 122722/102607*c_1001_3^3 + 147701/102607*c_1001_3^2 - 171299/102607*c_1001_3 - 11925/102607, c_1001_1 + 22447/102607*c_1001_3^8 - 197048/102607*c_1001_3^7 + 402237/102607*c_1001_3^6 + 226493/102607*c_1001_3^5 - 358303/102607*c_1001_3^4 - 412076/102607*c_1001_3^3 - 906766/102607*c_1001_3^2 - 483323/102607*c_1001_3 - 51018/102607, c_1001_3^9 - 9*c_1001_3^8 + 20*c_1001_3^7 + 5*c_1001_3^6 - 16*c_1001_3^5 - 15*c_1001_3^4 - 34*c_1001_3^3 - 10*c_1001_3^2 - c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB