Magma V2.19-8 Tue Aug 20 2013 16:16:48 on localhost [Seed = 3297073171] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1082 geometric_solution 4.95170343 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 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 1.308193980817 0.095796793136 2 0 0 2 0132 0132 1023 1023 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 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 1.549029735317 0.395807533838 1 3 4 1 0132 0132 0132 1023 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 0 0 0 0 -1 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 0.010773744575 0.629758935966 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 0 0 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 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 0.228178862538 0.721863168385 5 3 3 2 2310 1302 3201 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 -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 0.228178862538 0.721863168385 6 6 4 3 0132 2310 3201 0132 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350797154705 0.986016109113 5 6 6 5 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 -1 0 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 -0.404418124414 0.497687872501 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5*c_0101_2*c_0101_3^3 - 5*c_0101_2*c_0101_3^2 + 17*c_0101_2*c_0101_3 - 8*c_0101_2, c_0011_0 - 1, c_0011_4 - c_0101_2*c_0101_3^3 - 3*c_0101_2*c_0101_3^2 - c_0101_2*c_0101_3 + c_0101_2, c_0011_5 + c_0101_2*c_0101_3^3 + 2*c_0101_2*c_0101_3^2 - c_0101_2*c_0101_3 - c_0101_2, c_0101_0 + 2*c_0101_2*c_0101_3^3 + 5*c_0101_2*c_0101_3^2 - c_0101_2*c_0101_3 - 2*c_0101_2, c_0101_1 + c_0101_2*c_0101_3^3 + 3*c_0101_2*c_0101_3^2 - 2*c_0101_2, c_0101_2^2 + c_0101_3, c_0101_3^4 + 2*c_0101_3^3 - 2*c_0101_3^2 - c_0101_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 2522/3157*c_0101_2*c_0101_3^13 + 8335/451*c_0101_2*c_0101_3^12 - 318866/3157*c_0101_2*c_0101_3^11 + 349147/3157*c_0101_2*c_0101_3^10 + 12127/41*c_0101_2*c_0101_3^9 - 1817946/3157*c_0101_2*c_0101_3^8 - 272852/3157*c_0101_2*c_0101_3^7 + 2427367/3157*c_0101_2*c_0101_3^6 - 1410279/3157*c_0101_2*c_0101_3^5 - 1045999/3157*c_0101_2*c_0101_3^4 + 31959/77*c_0101_2*c_0101_3^3 - 214820/3157*c_0101_2*c_0101_3^2 - 311216/3157*c_0101_2*c_0101_3 + 171096/3157*c_0101_2, c_0011_0 - 1, c_0011_4 - 2*c_0101_2*c_0101_3^13 + 13*c_0101_2*c_0101_3^12 - 10*c_0101_2*c_0101_3^11 - 43*c_0101_2*c_0101_3^10 + 58*c_0101_2*c_0101_3^9 + 19*c_0101_2*c_0101_3^8 - 90*c_0101_2*c_0101_3^7 + 44*c_0101_2*c_0101_3^6 + 35*c_0101_2*c_0101_3^5 - 47*c_0101_2*c_0101_3^4 + 10*c_0101_2*c_0101_3^3 + 8*c_0101_2*c_0101_3^2 - 7*c_0101_2*c_0101_3 + c_0101_2, c_0011_5 - 804/451*c_0101_2*c_0101_3^13 + 5020/451*c_0101_2*c_0101_3^12 - 1147/451*c_0101_2*c_0101_3^11 - 28781/451*c_0101_2*c_0101_3^10 + 2836/41*c_0101_2*c_0101_3^9 + 33525/451*c_0101_2*c_0101_3^8 - 71928/451*c_0101_2*c_0101_3^7 + 19051/451*c_0101_2*c_0101_3^6 + 47501/451*c_0101_2*c_0101_3^5 - 39669/451*c_0101_2*c_0101_3^4 + 27/11*c_0101_2*c_0101_3^3 + 11865/451*c_0101_2*c_0101_3^2 - 4867/451*c_0101_2*c_0101_3 - 14/451*c_0101_2, c_0101_0 + 14830/451*c_0101_2*c_0101_3^13 - 104871/451*c_0101_2*c_0101_3^12 + 124834/451*c_0101_2*c_0101_3^11 + 303676/451*c_0101_2*c_0101_3^10 - 56903/41*c_0101_2*c_0101_3^9 + 9983/451*c_0101_2*c_0101_3^8 + 835734/451*c_0101_2*c_0101_3^7 - 638339/451*c_0101_2*c_0101_3^6 - 227926/451*c_0101_2*c_0101_3^5 + 523771/451*c_0101_2*c_0101_3^4 - 4729/11*c_0101_2*c_0101_3^3 - 75001/451*c_0101_2*c_0101_3^2 + 80761/451*c_0101_2*c_0101_3 - 17517/451*c_0101_2, c_0101_1 - 13522/451*c_0101_2*c_0101_3^13 + 96031/451*c_0101_2*c_0101_3^12 - 116829/451*c_0101_2*c_0101_3^11 - 273244/451*c_0101_2*c_0101_3^10 + 52955/41*c_0101_2*c_0101_3^9 - 35451/451*c_0101_2*c_0101_3^8 - 765190/451*c_0101_2*c_0101_3^7 + 628482/451*c_0101_2*c_0101_3^6 + 178792/451*c_0101_2*c_0101_3^5 - 499145/451*c_0101_2*c_0101_3^4 + 5075/11*c_0101_2*c_0101_3^3 + 63271/451*c_0101_2*c_0101_3^2 - 79985/451*c_0101_2*c_0101_3 + 18361/451*c_0101_2, c_0101_2^2 - 27536/2255*c_0101_3^13 + 194932/2255*c_0101_3^12 - 236938/2255*c_0101_3^11 - 535418/2255*c_0101_3^10 + 102384/205*c_0101_3^9 - 12852/451*c_0101_3^8 - 1441492/2255*c_0101_3^7 + 1143271/2255*c_0101_3^6 + 355001/2255*c_0101_3^5 - 896938/2255*c_0101_3^4 + 8452/55*c_0101_3^3 + 24103/451*c_0101_3^2 - 27525/451*c_0101_3 + 28481/2255, c_0101_3^14 - 15/2*c_0101_3^13 + 23/2*c_0101_3^12 + 33/2*c_0101_3^11 - 101/2*c_0101_3^10 + 39/2*c_0101_3^9 + 109/2*c_0101_3^8 - 67*c_0101_3^7 + 9/2*c_0101_3^6 + 41*c_0101_3^5 - 57/2*c_0101_3^4 + c_0101_3^3 + 15/2*c_0101_3^2 - 7/2*c_0101_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB