Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 2783197641] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s828 geometric_solution 5.39775213 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 3201 2310 0132 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 0 1 1 -2 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639569977933 0.856231386908 0 3 2 4 0132 0132 3201 0132 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 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300856332342 0.936207787478 1 4 0 3 2310 1023 0132 1023 0 0 0 0 0 -1 1 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 -1 2 -1 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 0.300856332342 0.936207787478 5 1 5 2 0132 0132 2310 1023 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 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918260600742 0.895198056430 2 4 1 4 1023 1302 0132 2031 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 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 0.224179249061 1.191772061592 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 0.515317648432 0.193736002534 ==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_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_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_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_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_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 358*c_0101_5^7 - 1221*c_0101_5^6 - 3792*c_0101_5^5 + 4771*c_0101_5^4 + 6962*c_0101_5^3 - 2482*c_0101_5^2 - 3955*c_0101_5 - 871, c_0011_0 - 1, c_0011_2 - 14*c_0101_5^7 + 46*c_0101_5^6 + 155*c_0101_5^5 - 171*c_0101_5^4 - 302*c_0101_5^3 + 77*c_0101_5^2 + 175*c_0101_5 + 44, c_0101_0 + 5*c_0101_5^7 - 16*c_0101_5^6 - 57*c_0101_5^5 + 57*c_0101_5^4 + 116*c_0101_5^3 - 20*c_0101_5^2 - 70*c_0101_5 - 20, c_0101_1 - 30*c_0101_5^7 + 102*c_0101_5^6 + 319*c_0101_5^5 - 397*c_0101_5^4 - 589*c_0101_5^3 + 204*c_0101_5^2 + 336*c_0101_5 + 76, c_0101_3 - 21*c_0101_5^7 + 72*c_0101_5^6 + 221*c_0101_5^5 - 283*c_0101_5^4 - 403*c_0101_5^3 + 148*c_0101_5^2 + 230*c_0101_5 + 51, c_0101_5^8 - 3*c_0101_5^7 - 12*c_0101_5^6 + 9*c_0101_5^5 + 25*c_0101_5^4 + c_0101_5^3 - 14*c_0101_5^2 - 7*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 31/17*c_0101_5^9 + 25/17*c_0101_5^8 - 148/17*c_0101_5^7 - 135/17*c_0101_5^6 + 90/17*c_0101_5^5 + 63/17*c_0101_5^4 + 84/17*c_0101_5^3 + 96/17*c_0101_5^2 - 12/17*c_0101_5 - 16/17, c_0011_0 - 1, c_0011_2 + 4/17*c_0101_5^9 - 5/17*c_0101_5^8 - 18/17*c_0101_5^7 + 10/17*c_0101_5^6 + 16/17*c_0101_5^5 + 18/17*c_0101_5^4 + 24/17*c_0101_5^3 - 9/17*c_0101_5^2 - 18/17*c_0101_5 - 7/17, c_0101_0 - 7/17*c_0101_5^9 - 4/17*c_0101_5^8 + 40/17*c_0101_5^7 + 25/17*c_0101_5^6 - 45/17*c_0101_5^5 - 23/17*c_0101_5^4 - 25/17*c_0101_5^3 - 14/17*c_0101_5^2 + 23/17*c_0101_5 + 8/17, c_0101_1 + 14/17*c_0101_5^9 + 8/17*c_0101_5^8 - 63/17*c_0101_5^7 - 50/17*c_0101_5^6 + 22/17*c_0101_5^5 + 29/17*c_0101_5^4 + 67/17*c_0101_5^3 + 45/17*c_0101_5^2 - 12/17*c_0101_5 - 16/17, c_0101_3 - 2/17*c_0101_5^9 - 6/17*c_0101_5^8 + 9/17*c_0101_5^7 + 29/17*c_0101_5^6 + 9/17*c_0101_5^5 - 26/17*c_0101_5^4 - 29/17*c_0101_5^3 - 4/17*c_0101_5^2 - 8/17*c_0101_5 + 12/17, c_0101_5^10 - 5*c_0101_5^8 - c_0101_5^7 + 5*c_0101_5^6 + c_0101_5^5 + c_0101_5^4 + c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB