Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 576962282] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1056 geometric_solution 4.93040561 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 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 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 1.217841549323 0.197937846075 0 0 1 1 0132 2310 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.468276239921 0.138832614352 3 0 0 4 0132 0132 1023 0132 0 0 0 0 0 -1 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 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 1.008101334442 0.639303946924 2 5 4 4 0132 0132 3201 2031 0 0 0 0 0 0 -1 1 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315874005945 0.645229662672 3 3 2 5 2310 1302 0132 1023 0 0 0 0 0 0 -1 1 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 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 0.315874005945 0.645229662672 6 3 6 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661088957250 0.980883000540 5 5 6 6 0132 3201 1230 3012 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 -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 0.369076986290 0.226156328458 ==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' : d['c_0101_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], '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' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_3']), '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_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 128/9*c_0101_2, c_0011_0 - 1, c_0011_4 - c_0101_2, c_0101_0 - 1/2, c_0101_1 + c_0101_2, c_0101_2^2 - 3/4, c_0101_3 + 1/2, c_0101_5 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 125*c_0101_2*c_0101_5^12 + 556*c_0101_2*c_0101_5^11 + 496*c_0101_2*c_0101_5^10 - 5457*c_0101_2*c_0101_5^9 + 6361*c_0101_2*c_0101_5^8 + 3613*c_0101_2*c_0101_5^7 - 5473*c_0101_2*c_0101_5^6 - 4340*c_0101_2*c_0101_5^5 + 2128*c_0101_2*c_0101_5^4 + 3037*c_0101_2*c_0101_5^3 + 285*c_0101_2*c_0101_5^2 - 753*c_0101_2*c_0101_5 - 262*c_0101_2, c_0011_0 - 1, c_0011_4 - 12*c_0101_2*c_0101_5^12 + 53*c_0101_2*c_0101_5^11 + 50*c_0101_2*c_0101_5^10 - 525*c_0101_2*c_0101_5^9 + 590*c_0101_2*c_0101_5^8 + 392*c_0101_2*c_0101_5^7 - 535*c_0101_2*c_0101_5^6 - 451*c_0101_2*c_0101_5^5 + 199*c_0101_2*c_0101_5^4 + 314*c_0101_2*c_0101_5^3 + 38*c_0101_2*c_0101_5^2 - 76*c_0101_2*c_0101_5 - 28*c_0101_2, c_0101_0 - 17*c_0101_5^12 + 77*c_0101_5^11 + 63*c_0101_5^10 - 753*c_0101_5^9 + 912*c_0101_5^8 + 477*c_0101_5^7 - 799*c_0101_5^6 - 592*c_0101_5^5 + 324*c_0101_5^4 + 431*c_0101_5^3 + 35*c_0101_5^2 - 108*c_0101_5 - 36, c_0101_1 - 28*c_0101_2*c_0101_5^12 + 126*c_0101_2*c_0101_5^11 + 107*c_0101_2*c_0101_5^10 - 1236*c_0101_2*c_0101_5^9 + 1470*c_0101_2*c_0101_5^8 + 818*c_0101_2*c_0101_5^7 - 1294*c_0101_2*c_0101_5^6 - 1008*c_0101_2*c_0101_5^5 + 519*c_0101_2*c_0101_5^4 + 727*c_0101_2*c_0101_5^3 + 67*c_0101_2*c_0101_5^2 - 181*c_0101_2*c_0101_5 - 64*c_0101_2, c_0101_2^2 + 10*c_0101_5^12 - 45*c_0101_5^11 - 37*c_0101_5^10 + 437*c_0101_5^9 - 533*c_0101_5^8 - 247*c_0101_5^7 + 434*c_0101_5^6 + 318*c_0101_5^5 - 174*c_0101_5^4 - 230*c_0101_5^3 - 15*c_0101_5^2 + 58*c_0101_5 + 18, c_0101_3 + c_0101_5^12 - 4*c_0101_5^11 - 6*c_0101_5^10 + 42*c_0101_5^9 - 31*c_0101_5^8 - 53*c_0101_5^7 + 31*c_0101_5^6 + 56*c_0101_5^5 - c_0101_5^4 - 33*c_0101_5^3 - 14*c_0101_5^2 + 6*c_0101_5 + 4, c_0101_5^13 - 4*c_0101_5^12 - 6*c_0101_5^11 + 42*c_0101_5^10 - 31*c_0101_5^9 - 53*c_0101_5^8 + 31*c_0101_5^7 + 56*c_0101_5^6 - c_0101_5^5 - 33*c_0101_5^4 - 14*c_0101_5^3 + 5*c_0101_5^2 + 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB