Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 2429619359] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s558 geometric_solution 4.99485640 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 1230 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 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465477568848 1.193992809181 0 3 5 4 0132 1230 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 1 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 0.765458968393 0.211107162452 0 0 5 5 3012 0132 0321 3201 0 0 0 0 0 1 -1 0 -1 0 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 0 0 2 -2 0 -1 0 1 0 -1 -1 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312342725293 0.697697507655 4 5 1 0 3201 2031 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 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 1.021564251113 0.621200357572 4 4 1 3 1302 2031 0132 2310 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 0.760588420106 0.264290431512 3 2 2 1 1302 2310 0321 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 -2 2 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716567670565 0.727030013654 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : 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_4, c_0011_5, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 4643/1309*c_0110_2^8 - 10662/1309*c_0110_2^7 - 12629/1309*c_0110_2^6 + 58171/1309*c_0110_2^5 - 16391/1309*c_0110_2^4 - 109635/1309*c_0110_2^3 + 91202/1309*c_0110_2^2 + 68652/1309*c_0110_2 - 85672/1309, c_0011_0 - 1, c_0011_3 - 4/17*c_0110_2^8 + 6/17*c_0110_2^7 + 13/17*c_0110_2^6 - 28/17*c_0110_2^5 - 11/17*c_0110_2^4 + 38/17*c_0110_2^3 + 6/17*c_0110_2^2 - 12/17*c_0110_2 - 16/17, c_0011_4 - 1/17*c_0110_2^8 - 7/17*c_0110_2^7 + 16/17*c_0110_2^6 + 10/17*c_0110_2^5 - 58/17*c_0110_2^4 + 18/17*c_0110_2^3 + 61/17*c_0110_2^2 - 37/17*c_0110_2 - 4/17, c_0011_5 - 4/17*c_0110_2^8 + 6/17*c_0110_2^7 + 13/17*c_0110_2^6 - 28/17*c_0110_2^5 - 11/17*c_0110_2^4 + 55/17*c_0110_2^3 - 11/17*c_0110_2^2 - 46/17*c_0110_2 + 18/17, c_0101_3 + 6/17*c_0110_2^8 - 9/17*c_0110_2^7 - 11/17*c_0110_2^6 + 42/17*c_0110_2^5 - 9/17*c_0110_2^4 - 57/17*c_0110_2^3 + 42/17*c_0110_2^2 + 18/17*c_0110_2 - 27/17, c_0110_2^9 - 3*c_0110_2^8 - c_0110_2^7 + 14*c_0110_2^6 - 12*c_0110_2^5 - 20*c_0110_2^4 + 34*c_0110_2^3 + c_0110_2^2 - 26*c_0110_2 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB