Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2463305393] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s319 geometric_solution 4.50041594 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 3201 2310 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 -1 1 0 0 0 1 -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 1.928236223816 1.275551248840 0 3 4 2 0132 0132 0132 2031 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.201522223600 0.699569038488 5 1 0 3 0132 1302 0132 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 0 0 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 -0.201522223600 0.699569038488 2 1 4 5 3201 0132 3201 1023 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 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 0.055888884219 0.348535166913 3 5 5 1 2310 1230 0213 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.280918612142 1.091882437091 2 4 4 3 0132 0213 3012 1023 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 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 -0.280918612142 1.091882437091 ==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' : negation(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' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0110_3'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : 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_2, c_0011_4, 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 + 1035/148*c_0110_3^6 + 1553/74*c_0110_3^5 + 5859/148*c_0110_3^4 + 8559/148*c_0110_3^3 + 9041/148*c_0110_3^2 + 5409/148*c_0110_3 + 3799/148, c_0011_0 - 1, c_0011_2 + c_0110_3, c_0011_4 - 55/74*c_0110_3^6 - 73/74*c_0110_3^5 + 6/37*c_0110_3^4 + 105/74*c_0110_3^3 + 6/37*c_0110_3^2 + 89/74*c_0110_3 + 3/37, c_0101_0 - 65/148*c_0110_3^6 + 83/74*c_0110_3^5 + 771/148*c_0110_3^4 + 891/148*c_0110_3^3 + 401/148*c_0110_3^2 + 381/148*c_0110_3 - 77/148, c_0101_1 - 395/148*c_0110_3^6 - 253/37*c_0110_3^5 - 1081/148*c_0110_3^4 - 699/148*c_0110_3^3 - 563/148*c_0110_3^2 + 27/148*c_0110_3 - 41/148, c_0110_3^7 + 13/5*c_0110_3^6 + 3*c_0110_3^5 + 12/5*c_0110_3^4 + 2*c_0110_3^3 + 2/5*c_0110_3 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB