Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2665415325] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s403 geometric_solution 4.65619477 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3201 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 0 1 -1 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 1.119310948542 0.662326442272 0 4 2 5 0132 0132 2031 0132 0 0 0 0 0 -1 1 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 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 1.338286193845 0.391553885543 0 0 4 1 2310 0132 1302 1302 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 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 0.338286193845 0.391553885543 4 5 0 5 2103 2103 0132 1023 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 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 0.877717068369 0.610003717751 2 1 3 5 2031 0132 2103 1230 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 -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 0.489784796043 0.656843217653 4 3 1 3 3012 2103 0132 1023 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 0 0 0 0 -1 0 0 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 0.726980525330 0.243110681288 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0110_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], '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_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_5']})} 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_0101_1, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 13/12*c_0110_3^6 + 7/3*c_0110_3^5 - 9/4*c_0110_3^4 - 1/6*c_0110_3^3 + 3*c_0110_3^2 + 221/12*c_0110_3 + 97/12, c_0011_0 - 1, c_0011_3 - 13/2*c_0110_3^6 + 3*c_0110_3^5 - 29/2*c_0110_3^4 - 26*c_0110_3^3 - 40*c_0110_3^2 + 23/2*c_0110_3 + 27/2, c_0011_5 + 11/2*c_0110_3^6 - 5/2*c_0110_3^5 + 12*c_0110_3^4 + 22*c_0110_3^3 + 34*c_0110_3^2 - 21/2*c_0110_3 - 12, c_0101_0 - 11/2*c_0110_3^6 + 5/2*c_0110_3^5 - 12*c_0110_3^4 - 22*c_0110_3^3 - 34*c_0110_3^2 + 21/2*c_0110_3 + 12, c_0101_1 + 8*c_0110_3^6 - 4*c_0110_3^5 + 18*c_0110_3^4 + 31*c_0110_3^3 + 48*c_0110_3^2 - 16*c_0110_3 - 17, c_0110_3^7 + 2*c_0110_3^5 + 5*c_0110_3^4 + 8*c_0110_3^3 + c_0110_3^2 - 3*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB