Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 4223297489] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0079 geometric_solution 3.62579642 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.721570927379 0.024866463305 0 0 2 2 0132 2310 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 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 1.913792940219 0.132061435108 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.495255430449 0.215275728945 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.300410643867 1.007186130873 5 3 6 6 2310 0132 0132 3120 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 -1 1 -1 0 2 -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 0.204845607027 0.405973130549 6 6 4 3 1023 0213 3201 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 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204845607027 0.405973130549 4 5 5 4 3120 1023 0213 0132 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 -1 0 1 1 0 1 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.997578301979 0.509322453352 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_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_2'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_4'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 49877/704*c_0101_4^8 + 30615/352*c_0101_4^7 + 95401/352*c_0101_4^6 + 673987/352*c_0101_4^5 - 7129/8*c_0101_4^4 + 1743869/352*c_0101_4^3 - 282113/352*c_0101_4^2 + 583081/352*c_0101_4 - 345699/704, c_0011_0 - 1, c_0011_2 - 1/64*c_0101_4^8 + 3/32*c_0101_4^7 - 1/32*c_0101_4^6 + 3/32*c_0101_4^5 - 35/16*c_0101_4^4 + 73/32*c_0101_4^3 - 135/32*c_0101_4^2 + 17/32*c_0101_4 - 35/64, c_0011_5 - 85/704*c_0101_3*c_0101_4^8 + 21/176*c_0101_3*c_0101_4^7 + 89/176*c_0101_3*c_0101_4^6 + 591/176*c_0101_3*c_0101_4^5 - 25/32*c_0101_3*c_0101_4^4 + 1383/176*c_0101_3*c_0101_4^3 + 185/176*c_0101_3*c_0101_4^2 + 405/176*c_0101_3*c_0101_4 - 141/704*c_0101_3, c_0101_0 + 85/704*c_0101_3*c_0101_4^8 - 53/352*c_0101_3*c_0101_4^7 - 167/352*c_0101_3*c_0101_4^6 - 1149/352*c_0101_3*c_0101_4^5 + 27/16*c_0101_3*c_0101_4^4 - 2799/352*c_0101_3*c_0101_4^3 + 719/352*c_0101_3*c_0101_4^2 - 799/352*c_0101_3*c_0101_4 + 1527/704*c_0101_3, c_0101_1 + 65/352*c_0101_3*c_0101_4^8 - 105/352*c_0101_3*c_0101_4^7 - 225/352*c_0101_3*c_0101_4^6 - 1657/352*c_0101_3*c_0101_4^5 + 139/32*c_0101_3*c_0101_4^4 - 4627/352*c_0101_3*c_0101_4^3 + 2573/352*c_0101_3*c_0101_4^2 - 1387/352*c_0101_3*c_0101_4 + 557/176*c_0101_3, c_0101_3^2 + 3/64*c_0101_4^8 - 1/16*c_0101_4^7 - 3/16*c_0101_4^6 - 5/4*c_0101_4^5 + 23/32*c_0101_4^4 - 45/16*c_0101_4^3 + 31/16*c_0101_4^2 - 3/8*c_0101_4 - 1/64, c_0101_4^9 - c_0101_4^8 - 4*c_0101_4^7 - 28*c_0101_4^6 + 6*c_0101_4^5 - 70*c_0101_4^4 - 4*c_0101_4^3 - 28*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB