Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 4223297231] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2479 geometric_solution 5.81243522 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2310 0132 3201 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 -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 -0.652904966116 0.923423024302 0 0 3 2 3201 0132 0132 0132 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 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 -0.260678474689 0.737128137011 4 4 1 5 0132 0321 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583317003636 1.230820733490 5 4 5 1 1230 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.652904966116 0.923423024302 2 3 6 2 0132 3120 0132 0321 0 0 0 0 0 0 -1 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 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 1.080993547365 0.976968703103 6 3 2 3 2310 3012 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 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 0.407355774343 0.723519267745 6 6 5 4 1302 2031 3201 0132 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 1 0 0 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510831383163 0.543049803929 ==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' : negation(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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0011_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0011_6, c_0101_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 107/8*c_0011_6*c_1100_1^7 - 895/8*c_0011_6*c_1100_1^6 + 1499/4*c_0011_6*c_1100_1^5 - 2671/4*c_0011_6*c_1100_1^4 + 3051/4*c_0011_6*c_1100_1^3 - 2469/4*c_0011_6*c_1100_1^2 + 1141/4*c_0011_6*c_1100_1 - 463/8*c_0011_6, c_0011_0 - 1, c_0011_2 + 9/17*c_0011_6*c_1100_1^7 - 65/17*c_0011_6*c_1100_1^6 + 182/17*c_0011_6*c_1100_1^5 - 260/17*c_0011_6*c_1100_1^4 + 239/17*c_0011_6*c_1100_1^3 - 9*c_0011_6*c_1100_1^2 + 55/17*c_0011_6*c_1100_1 - 3/17*c_0011_6, c_0011_3 + 2/17*c_1100_1^7 - 5/17*c_1100_1^6 - 20/17*c_1100_1^5 + 82/17*c_1100_1^4 - 98/17*c_1100_1^3 + 5*c_1100_1^2 - 35/17*c_1100_1 - 12/17, c_0011_5 + 2/17*c_0011_6*c_1100_1^7 - 5/17*c_0011_6*c_1100_1^6 - 20/17*c_0011_6*c_1100_1^5 + 82/17*c_0011_6*c_1100_1^4 - 98/17*c_0011_6*c_1100_1^3 + 5*c_0011_6*c_1100_1^2 - 52/17*c_0011_6*c_1100_1 + 5/17*c_0011_6, c_0011_6^2 - 11/17*c_1100_1^7 + 87/17*c_1100_1^6 - 264/17*c_1100_1^5 + 399/17*c_1100_1^4 - 362/17*c_1100_1^3 + 13*c_1100_1^2 - 37/17*c_1100_1 - 36/17, c_0101_4 - 9/17*c_1100_1^7 + 65/17*c_1100_1^6 - 182/17*c_1100_1^5 + 260/17*c_1100_1^4 - 239/17*c_1100_1^3 + 9*c_1100_1^2 - 38/17*c_1100_1 - 14/17, c_1100_1^8 - 8*c_1100_1^7 + 25*c_1100_1^6 - 40*c_1100_1^5 + 40*c_1100_1^4 - 28*c_1100_1^3 + 8*c_1100_1^2 + c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB