Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 2193825718] 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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : 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 - 1949/23*c_0011_6*c_1100_1^7 + 5052/23*c_0011_6*c_1100_1^6 + 2095/23*c_0011_6*c_1100_1^5 - 10970/23*c_0011_6*c_1100_1^4 - 8343/23*c_0011_6*c_1100_1^3 + 32010/23*c_0011_6*c_1100_1^2 - 22028/23*c_0011_6*c_1100_1 + 7592/23*c_0011_6, c_0011_0 - 1, c_0011_2 - 13/23*c_0011_6*c_1100_1^7 + 25/23*c_0011_6*c_1100_1^6 + 34/23*c_0011_6*c_1100_1^5 - 52/23*c_0011_6*c_1100_1^4 - 105/23*c_0011_6*c_1100_1^3 + 151/23*c_0011_6*c_1100_1^2 - 13/23*c_0011_6*c_1100_1 + 11/23*c_0011_6, c_0011_3 - 35/46*c_1100_1^7 + 85/46*c_1100_1^6 + 21/23*c_1100_1^5 - 93/23*c_1100_1^4 - 75/23*c_1100_1^3 + 282/23*c_1100_1^2 - 190/23*c_1100_1 + 111/46, c_0011_5 - 38/23*c_0011_6*c_1100_1^7 + 89/23*c_0011_6*c_1100_1^6 + 64/23*c_0011_6*c_1100_1^5 - 198/23*c_0011_6*c_1100_1^4 - 222/23*c_0011_6*c_1100_1^3 + 567/23*c_0011_6*c_1100_1^2 - 268/23*c_0011_6*c_1100_1 + 87/23*c_0011_6, c_0011_6^2 - 39/184*c_1100_1^7 - 17/184*c_1100_1^6 + 51/92*c_1100_1^5 + 37/92*c_1100_1^4 - 77/92*c_1100_1^3 - 15/92*c_1100_1^2 + 15/92*c_1100_1 - 13/184, c_0101_4 + 15/46*c_1100_1^7 - 43/46*c_1100_1^6 - 9/23*c_1100_1^5 + 53/23*c_1100_1^4 + 42/23*c_1100_1^3 - 134/23*c_1100_1^2 + 65/23*c_1100_1 - 41/46, c_1100_1^8 - 3*c_1100_1^7 + 6*c_1100_1^5 + 2*c_1100_1^4 - 18*c_1100_1^3 + 18*c_1100_1^2 - 9*c_1100_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB