Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 779072230] 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' : negation(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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(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: 4 Groebner basis: [ t - 16/3*c_0101_2*c_0101_5 + 16/3*c_0101_2, c_0011_0 - 1, c_0011_4 + 2/3*c_0101_2*c_0101_5 - 1/3*c_0101_2, c_0101_0 + c_0101_5, c_0101_1 - 2/3*c_0101_2*c_0101_5 + 1/3*c_0101_2, c_0101_2^2 - 3/2, c_0101_3 - c_0101_5 + 1, c_0101_5^2 - 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 - 47/25*c_0101_2*c_0101_5^12 - 24/5*c_0101_2*c_0101_5^11 + 688/25*c_0101_2*c_0101_5^10 - 961/25*c_0101_2*c_0101_5^9 + 1217/25*c_0101_2*c_0101_5^8 - 2103/25*c_0101_2*c_0101_5^7 + 83/25*c_0101_2*c_0101_5^6 + 812/5*c_0101_2*c_0101_5^5 - 1872/25*c_0101_2*c_0101_5^4 - 3209/25*c_0101_2*c_0101_5^3 + 913/25*c_0101_2*c_0101_5^2 + 1647/25*c_0101_2*c_0101_5 + 398/25*c_0101_2, c_0011_0 - 1, c_0011_4 - 2/5*c_0101_2*c_0101_5^12 + c_0101_2*c_0101_5^11 - 2/5*c_0101_2*c_0101_5^10 - 1/5*c_0101_2*c_0101_5^9 + 2/5*c_0101_2*c_0101_5^8 - 28/5*c_0101_2*c_0101_5^7 + 43/5*c_0101_2*c_0101_5^6 + 3*c_0101_2*c_0101_5^5 - 47/5*c_0101_2*c_0101_5^4 - 14/5*c_0101_2*c_0101_5^3 + 28/5*c_0101_2*c_0101_5^2 + 12/5*c_0101_2*c_0101_5 - 2/5*c_0101_2, c_0101_0 - 7*c_0101_5^12 + 33*c_0101_5^11 - 63*c_0101_5^10 + 79*c_0101_5^9 - 96*c_0101_5^8 + 37*c_0101_5^7 + 161*c_0101_5^6 - 212*c_0101_5^5 - 42*c_0101_5^4 + 157*c_0101_5^3 + 11*c_0101_5^2 - 50*c_0101_5 - 16, c_0101_1 + 12/5*c_0101_2*c_0101_5^12 - 6*c_0101_2*c_0101_5^11 + 27/5*c_0101_2*c_0101_5^10 - 44/5*c_0101_2*c_0101_5^9 + 68/5*c_0101_2*c_0101_5^8 + 48/5*c_0101_2*c_0101_5^7 - 98/5*c_0101_2*c_0101_5^6 - 26*c_0101_2*c_0101_5^5 + 137/5*c_0101_2*c_0101_5^4 + 159/5*c_0101_2*c_0101_5^3 - 83/5*c_0101_2*c_0101_5^2 - 97/5*c_0101_2*c_0101_5 - 28/5*c_0101_2, c_0101_2^2 - 4*c_0101_5^12 + 17*c_0101_5^11 - 29*c_0101_5^10 + 33*c_0101_5^9 - 37*c_0101_5^8 - 3*c_0101_5^7 + 102*c_0101_5^6 - 100*c_0101_5^5 - 44*c_0101_5^4 + 84*c_0101_5^3 + 9*c_0101_5^2 - 22*c_0101_5 - 8, c_0101_3 + c_0101_5^12 - 4*c_0101_5^11 + 6*c_0101_5^10 - 6*c_0101_5^9 + 7*c_0101_5^8 + 3*c_0101_5^7 - 25*c_0101_5^6 + 16*c_0101_5^5 + 21*c_0101_5^4 - 17*c_0101_5^3 - 12*c_0101_5^2 + 6*c_0101_5 + 4, c_0101_5^13 - 4*c_0101_5^12 + 6*c_0101_5^11 - 6*c_0101_5^10 + 7*c_0101_5^9 + 3*c_0101_5^8 - 25*c_0101_5^7 + 16*c_0101_5^6 + 21*c_0101_5^5 - 17*c_0101_5^4 - 12*c_0101_5^3 + 5*c_0101_5^2 + 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB