Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 812756234] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2438 geometric_solution 5.78500401 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 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 0.253640467895 0.299049072322 3 4 5 0 0132 0132 0132 0132 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.449092438764 0.671061266999 4 6 0 5 2310 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -2 1 1 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 0.350454327984 1.944859615911 1 6 5 6 0132 3201 0213 1230 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 -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 0.335892456404 0.748663326621 6 1 2 5 3201 0132 3201 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 0 0 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269181193413 0.890211405330 4 3 2 1 3012 0213 0132 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204153284163 0.781875888794 3 2 3 4 3012 0132 2310 2310 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 2 -1 -1 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 0.335892456404 0.748663326621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0101_2, c_0101_4, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/4*c_0101_6*c_1100_0 + 3/4*c_1100_0 - 1/4, c_0011_0 - 1, c_0011_1 + c_0101_6, c_0011_2 - c_0101_6*c_1100_0 - c_0101_6 + c_1100_0 + 2, c_0101_2 - c_1100_0, c_0101_4 + c_0101_6*c_1100_0 + c_0101_6 - c_1100_0 - 1, c_0101_6^2 - c_0101_6*c_1100_0 - 2*c_0101_6 + 2*c_1100_0 + 2, c_1100_0^2 + c_1100_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0101_2, c_0101_4, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 129/160*c_1100_0^6 - 203/160*c_1100_0^5 - 279/40*c_1100_0^4 - 87/16*c_1100_0^3 - 257/16*c_1100_0^2 - 549/160*c_1100_0 - 1299/160, c_0011_0 - 1, c_0011_1 - 5/32*c_1100_0^6 - 3/32*c_1100_0^5 - 7/8*c_1100_0^4 + 1/16*c_1100_0^3 - 13/16*c_1100_0^2 + 39/32*c_1100_0 + 37/32, c_0011_2 + 1/32*c_1100_0^6 + 7/32*c_1100_0^5 + 3/8*c_1100_0^4 + 19/16*c_1100_0^3 + 9/16*c_1100_0^2 + 37/32*c_1100_0 - 1/32, c_0101_2 + 1/8*c_1100_0^6 + 3/8*c_1100_0^5 + 3/2*c_1100_0^4 + 7/4*c_1100_0^3 + 13/4*c_1100_0^2 + 5/8*c_1100_0 + 3/8, c_0101_4 + 1/32*c_1100_0^6 + 7/32*c_1100_0^5 + 3/8*c_1100_0^4 + 19/16*c_1100_0^3 + 9/16*c_1100_0^2 + 37/32*c_1100_0 - 1/32, c_0101_6 - 1/32*c_1100_0^6 + 1/32*c_1100_0^5 - 3/8*c_1100_0^4 - 3/16*c_1100_0^3 - 17/16*c_1100_0^2 - 5/32*c_1100_0 + 9/32, c_1100_0^7 + 2*c_1100_0^6 + 9*c_1100_0^5 + 10*c_1100_0^4 + 20*c_1100_0^3 + 11*c_1100_0^2 + 6*c_1100_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB