Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 3297073379] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s141 geometric_solution 4.19998491 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 1 2031 0132 1302 1023 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 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 -1 1 1 0 -1 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577483389067 0.049579506439 2 0 2 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 1 -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 0.504846862756 0.212217480755 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 1 -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 0 1 -1 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 0.813860849337 2.267035231671 5 2 5 4 0132 0132 1023 3120 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 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 0.540707516090 0.996909194492 3 5 2 5 3120 2310 0132 3201 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 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 0.540707516090 0.996909194492 3 4 3 4 0132 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467218417951 0.319178192054 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} 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_2, c_0101_3, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 85/16*c_0110_0^13 - 23/8*c_0110_0^12 - 945/16*c_0110_0^11 + 407/16*c_0110_0^10 + 511/2*c_0110_0^9 - 1039/16*c_0110_0^8 - 4391/8*c_0110_0^7 + 245/16*c_0110_0^6 + 1209/2*c_0110_0^5 + 1027/8*c_0110_0^4 - 4687/16*c_0110_0^3 - 965/8*c_0110_0^2 + 21*c_0110_0 + 271/16, c_0011_0 - 1, c_0011_4 + c_0110_0^3 - 2*c_0110_0, c_0101_2 + c_0110_0^2 - 1, c_0101_3 - c_0110_0^13 + 11*c_0110_0^11 - 46*c_0110_0^9 - 2*c_0110_0^8 + 91*c_0110_0^7 + 11*c_0110_0^6 - 86*c_0110_0^5 - 18*c_0110_0^4 + 34*c_0110_0^3 + 8*c_0110_0^2 - 3*c_0110_0 - 1, c_0101_5 + c_0110_0^4 - 3*c_0110_0^2 + 1, c_0110_0^14 - c_0110_0^13 - 11*c_0110_0^12 + 10*c_0110_0^11 + 47*c_0110_0^10 - 35*c_0110_0^9 - 101*c_0110_0^8 + 51*c_0110_0^7 + 117*c_0110_0^6 - 26*c_0110_0^5 - 69*c_0110_0^4 - c_0110_0^3 + 14*c_0110_0^2 + 3*c_0110_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB