Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 678016273] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2365 geometric_solution 5.73423114 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 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 -1 1 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 -0.154240372596 0.711532104881 0 0 2 4 0132 0321 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 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 1.290982221547 1.342341107559 1 0 5 3 2031 0132 0132 3012 0 0 0 0 0 0 1 -1 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 1 0 -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 0.244357686050 0.485926345590 4 5 2 0 3120 1023 1230 0132 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 1 0 -1 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 -0.890494070620 0.691622346866 5 6 1 3 2103 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.151164516076 0.959227494430 3 6 4 2 1023 0321 2103 0132 0 0 0 0 0 0 1 -1 0 0 0 0 -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 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 0.517381002389 0.584666984340 6 4 6 5 2310 0132 3201 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160307137175 1.017242786359 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_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_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1721/4*c_1001_2^16 - 5440*c_1001_2^14 + 209585/8*c_1001_2^12 - 188689/2*c_1001_2^10 + 869565/4*c_1001_2^8 - 1882797/8*c_1001_2^6 + 990339/8*c_1001_2^4 - 61435/2*c_1001_2^2 + 23283/8, c_0011_0 - 1, c_0011_3 - 126*c_1001_2^17 + 1366*c_1001_2^15 - 5389*c_1001_2^13 + 19733*c_1001_2^11 - 34493*c_1001_2^9 + 30320*c_1001_2^7 - 14166*c_1001_2^5 + 3370*c_1001_2^3 - 320*c_1001_2, c_0011_4 + 105*c_1001_2^16 - 1136*c_1001_2^14 + 8933/2*c_1001_2^12 - 16354*c_1001_2^10 + 28412*c_1001_2^8 - 49505/2*c_1001_2^6 + 22817/2*c_1001_2^4 - 2662*c_1001_2^2 + 495/2, c_0101_0 - 2*c_1001_2^16 + 22*c_1001_2^14 - 89*c_1001_2^12 + 327*c_1001_2^10 - 598*c_1001_2^8 + 571*c_1001_2^6 - 306*c_1001_2^4 + 93*c_1001_2^2 - 13, c_0101_2 + 2*c_1001_2^17 - 22*c_1001_2^15 + 89*c_1001_2^13 - 327*c_1001_2^11 + 598*c_1001_2^9 - 571*c_1001_2^7 + 306*c_1001_2^5 - 93*c_1001_2^3 + 14*c_1001_2, c_0110_2 - c_1001_2, c_1001_2^18 - 11*c_1001_2^16 + 89/2*c_1001_2^14 - 327/2*c_1001_2^12 + 299*c_1001_2^10 - 571/2*c_1001_2^8 + 153*c_1001_2^6 - 93/2*c_1001_2^4 + 15/2*c_1001_2^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB