Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 678016345] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2871 geometric_solution 6.08754805 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663415283290 0.523174704561 0 5 5 2 0132 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287848581712 0.716471946987 1 0 5 6 3201 0132 3120 0132 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 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 -0.731065761930 1.329700167549 6 3 3 0 1023 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885687079670 0.485079855710 6 4 0 4 0132 1302 0132 2031 0 0 0 0 0 1 -1 0 1 0 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098292767630 0.522087558029 1 1 2 6 2310 0132 3120 0213 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 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 0.517185572285 1.201753335036 4 3 2 5 0132 1023 0132 0213 0 0 0 0 0 0 0 0 -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 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 0.663415283290 0.523174704561 ==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' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0101_6']})} 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 62008671/2471755*c_0101_6^7 - 32433936/2471755*c_0101_6^6 + 139720132/2471755*c_0101_6^5 - 748417166/2471755*c_0101_6^4 - 635446486/2471755*c_0101_6^3 - 748443677/2471755*c_0101_6^2 + 196335989/494351*c_0101_6 + 654487838/2471755, c_0011_0 - 1, c_0011_3 + 6690/3457*c_0101_6^7 + 3491/3457*c_0101_6^6 - 14839/3457*c_0101_6^5 + 81082/3457*c_0101_6^4 + 67790/3457*c_0101_6^3 + 82999/3457*c_0101_6^2 - 103512/3457*c_0101_6 - 68114/3457, c_0101_0 + 13626/3457*c_0101_6^7 + 6636/3457*c_0101_6^6 - 30574/3457*c_0101_6^5 + 165902/3457*c_0101_6^4 + 133050/3457*c_0101_6^3 + 163649/3457*c_0101_6^2 - 216563/3457*c_0101_6 - 135688/3457, c_0101_1 + 27829/3457*c_0101_6^7 + 14203/3457*c_0101_6^6 - 62294/3457*c_0101_6^5 + 336693/3457*c_0101_6^4 + 279362/3457*c_0101_6^3 + 340043/3457*c_0101_6^2 - 441939/3457*c_0101_6 - 284359/3457, c_0101_3 - 6867/3457*c_0101_6^7 - 3495/3457*c_0101_6^6 + 15568/3457*c_0101_6^5 - 83097/3457*c_0101_6^4 - 69258/3457*c_0101_6^3 - 79749/3457*c_0101_6^2 + 109996/3457*c_0101_6 + 71857/3457, c_0101_5 + 1, c_0101_6^8 + c_0101_6^7 - 2*c_0101_6^6 + 11*c_0101_6^5 + 16*c_0101_6^4 + 17*c_0101_6^3 - 10*c_0101_6^2 - 18*c_0101_6 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB