Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 122067811] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s885 geometric_solution 5.57698818 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 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 1 -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 0.706208473005 1.020936581265 0 4 5 5 0132 0132 3012 0132 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 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 0.278616690805 0.637346141190 3 0 0 5 0213 0132 1230 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541733116873 0.662497609205 2 4 4 0 0213 0213 1302 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 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 0.861786165659 0.604908850979 3 1 3 5 2031 0132 0213 2103 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 -1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.293088087117 0.786872641876 2 1 1 4 3201 1230 0132 2103 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 -1 1 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 0.778523860073 0.687830133740 ==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' : 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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_5, c_0101_0, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3/8*c_0110_4^9 + 7/4*c_0110_4^8 + 91/8*c_0110_4^7 + 53/8*c_0110_4^6 - 183/4*c_0110_4^5 - 161/8*c_0110_4^4 + 349/8*c_0110_4^3 + 185/8*c_0110_4^2 - 117/8*c_0110_4 - 31/4, c_0011_0 - 1, c_0011_3 - 1/2*c_0110_4^9 - 1/2*c_0110_4^8 + 11/2*c_0110_4^7 + 21/2*c_0110_4^6 - 18*c_0110_4^5 - 23*c_0110_4^4 + 33/2*c_0110_4^3 + 17*c_0110_4^2 - 5*c_0110_4 - 5, c_0011_5 - 3/2*c_0110_4^9 - 9/2*c_0110_4^8 + 7/2*c_0110_4^7 + 47/2*c_0110_4^6 - 10*c_0110_4^5 - 31*c_0110_4^4 + 19/2*c_0110_4^3 + 20*c_0110_4^2 - 3*c_0110_4 - 5, c_0101_0 + 3/2*c_0110_4^9 + 15/2*c_0110_4^8 + 15/2*c_0110_4^7 - 45/2*c_0110_4^6 - 35*c_0110_4^5 + 17*c_0110_4^4 + 63/2*c_0110_4^3 - c_0110_4^2 - 9*c_0110_4 - 2, c_0110_4^10 + 4*c_0110_4^9 + c_0110_4^8 - 17*c_0110_4^7 - 10*c_0110_4^6 + 21*c_0110_4^5 + 15*c_0110_4^4 - 11*c_0110_4^3 - 9*c_0110_4^2 + 2*c_0110_4 + 2, c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB