Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 1461111340] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3273 geometric_solution 6.39648416 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 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 1 1 -2 0 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776147388285 1.256032619421 0 3 4 2 0132 0132 0132 2031 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 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 0.403330495549 0.496166697252 5 1 0 3 0132 1302 0132 2310 0 0 0 0 0 0 -1 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 2 -1 1 0 -1 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 0.193413942418 0.630639170666 2 1 5 4 3201 0132 1230 1230 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 -1 0 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 -0.536937362240 0.945767042751 3 6 6 1 3012 0132 1023 0132 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 -1 0 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 0.837758828935 0.782043570974 2 6 6 3 0132 3012 1230 3012 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323694113638 0.801653148332 5 4 4 5 1230 0132 1023 3012 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 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 0.530351342980 0.569506113430 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], '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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], '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_0011_4'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_2'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 181/21*c_0101_4^8 + 54/7*c_0101_4^7 + 293/6*c_0101_4^6 - 138/7*c_0101_4^5 - 2867/28*c_0101_4^4 - 509/42*c_0101_4^3 + 993/14*c_0101_4^2 + 2213/42*c_0101_4 + 473/84, c_0011_0 - 1, c_0011_2 + 5/7*c_0101_4^8 - 16/7*c_0101_4^7 - 9/2*c_0101_4^6 + 65/7*c_0101_4^5 + 381/28*c_0101_4^4 - 44/7*c_0101_4^3 - 102/7*c_0101_4^2 - 71/7*c_0101_4 - 43/28, c_0011_4 + 29/21*c_0101_3*c_0101_4^8 - 16/7*c_0101_3*c_0101_4^7 - 49/6*c_0101_3*c_0101_4^6 + 51/7*c_0101_3*c_0101_4^5 + 535/28*c_0101_3*c_0101_4^4 - 34/21*c_0101_3*c_0101_4^3 - 102/7*c_0101_3*c_0101_4^2 - 206/21*c_0101_3*c_0101_4 - 115/84*c_0101_3, c_0101_0 - 74/21*c_0101_3*c_0101_4^8 - 6/7*c_0101_3*c_0101_4^7 + 47/3*c_0101_3*c_0101_4^6 + 69/7*c_0101_3*c_0101_4^5 - 209/14*c_0101_3*c_0101_4^4 - 715/42*c_0101_3*c_0101_4^3 - 143/14*c_0101_3*c_0101_4^2 - 11/42*c_0101_3*c_0101_4 + 10/21*c_0101_3, c_0101_1 - 67/21*c_0101_3*c_0101_4^8 - 6/7*c_0101_3*c_0101_4^7 + 83/6*c_0101_3*c_0101_4^6 + 62/7*c_0101_3*c_0101_4^5 - 341/28*c_0101_3*c_0101_4^4 - 575/42*c_0101_3*c_0101_4^3 - 129/14*c_0101_3*c_0101_4^2 - 151/42*c_0101_3*c_0101_4 - 121/84*c_0101_3, c_0101_3^2 - 3/7*c_0101_4^8 + 18/7*c_0101_4^7 + 7/2*c_0101_4^6 - 74/7*c_0101_4^5 - 363/28*c_0101_4^4 + 113/14*c_0101_4^3 + 106/7*c_0101_4^2 + 65/7*c_0101_4 + 23/28, c_0101_4^9 - c_0101_4^8 - 11/2*c_0101_4^7 + 5/2*c_0101_4^6 + 45/4*c_0101_4^5 + 7/4*c_0101_4^4 - 7*c_0101_4^3 - 7*c_0101_4^2 - 7/4*c_0101_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB