Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 509575802] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s902 geometric_solution 5.66024673 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 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 0.775632870480 0.984474306390 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 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 0.723832172196 0.666272473235 3 0 4 5 2310 0132 3201 2310 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 1 -1 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 0.723832172196 0.666272473235 3 1 2 3 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105938588899 0.713052120107 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784804261824 0.481247722481 2 5 5 1 3201 1230 3012 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 -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 0.797022312632 0.608089744731 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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_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_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' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], '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_4']), 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2330/17*c_0101_3^12 - 2145/34*c_0101_3^11 + 56981/34*c_0101_3^10 + 19458/17*c_0101_3^9 - 239053/34*c_0101_3^8 - 212945/34*c_0101_3^7 + 193905/17*c_0101_3^6 + 450485/34*c_0101_3^5 - 86420/17*c_0101_3^4 - 181776/17*c_0101_3^3 - 51039/34*c_0101_3^2 + 43995/17*c_0101_3 + 31519/34, c_0011_0 - 1, c_0011_4 - 5/2*c_0101_3^12 - 3/2*c_0101_3^11 + 31*c_0101_3^10 + 49/2*c_0101_3^9 - 263/2*c_0101_3^8 - 128*c_0101_3^7 + 431/2*c_0101_3^6 + 265*c_0101_3^5 - 97*c_0101_3^4 - 425/2*c_0101_3^3 - 30*c_0101_3^2 + 103/2*c_0101_3 + 18, c_0101_0 - 3*c_0101_3^12 - c_0101_3^11 + 37*c_0101_3^10 + 20*c_0101_3^9 - 158*c_0101_3^8 - 114*c_0101_3^7 + 267*c_0101_3^6 + 248*c_0101_3^5 - 140*c_0101_3^4 - 207*c_0101_3^3 - 13*c_0101_3^2 + 50*c_0101_3 + 15, c_0101_1 + 1/2*c_0101_3^12 - 1/2*c_0101_3^11 - 6*c_0101_3^10 + 9/2*c_0101_3^9 + 53/2*c_0101_3^8 - 13*c_0101_3^7 - 107/2*c_0101_3^6 + 12*c_0101_3^5 + 51*c_0101_3^4 + 3/2*c_0101_3^3 - 21*c_0101_3^2 - 7/2*c_0101_3 + 2, c_0101_2 - c_0101_3^2 + 1, c_0101_3^13 + c_0101_3^12 - 12*c_0101_3^11 - 15*c_0101_3^10 + 47*c_0101_3^9 + 74*c_0101_3^8 - 59*c_0101_3^7 - 144*c_0101_3^6 - 16*c_0101_3^5 + 101*c_0101_3^4 + 56*c_0101_3^3 - 13*c_0101_3^2 - 18*c_0101_3 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB