Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 896837706] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2954 geometric_solution 6.14329991 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610842005587 0.259363004323 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.002132574458 0.329566828108 1 4 3 5 0132 0132 3012 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 -1 1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825894661798 0.644933807135 6 2 4 1 0132 1230 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825894661798 0.644933807135 5 2 3 6 1302 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877816494550 0.866053838140 6 4 2 6 2103 2031 0132 0321 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 -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 0.578506171991 1.027362419791 3 5 5 4 0132 0321 2103 0213 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578506171991 1.027362419791 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_5']), '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_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 34859351/37691648*c_0101_3^15 - 519561737/37691648*c_0101_3^13 + 928834861/9422912*c_0101_3^11 - 16901934473/37691648*c_0101_3^9 + 1605590929/1177864*c_0101_3^7 - 49324044563/18845824*c_0101_3^5 + 13154670537/4711456*c_0101_3^3 - 732381063/588932*c_0101_3, c_0011_0 - 1, c_0011_1 + 4351/162464*c_0101_3^14 - 59105/162464*c_0101_3^12 + 94849/40616*c_0101_3^10 - 1552497/162464*c_0101_3^8 + 127812/5077*c_0101_3^6 - 3024675/81232*c_0101_3^4 + 464121/20308*c_0101_3^2 - 7305/5077, c_0011_3 - 19671/649856*c_0101_3^15 + 264429/649856*c_0101_3^13 - 106735/40616*c_0101_3^11 + 7010969/649856*c_0101_3^9 - 4645695/162464*c_0101_3^7 + 13977123/324928*c_0101_3^5 - 1101035/40616*c_0101_3^3 + 26193/20308*c_0101_3, c_0011_5 - 19671/649856*c_0101_3^15 + 264429/649856*c_0101_3^13 - 106735/40616*c_0101_3^11 + 7010969/649856*c_0101_3^9 - 4645695/162464*c_0101_3^7 + 13977123/324928*c_0101_3^5 - 1101035/40616*c_0101_3^3 + 26193/20308*c_0101_3, c_0101_0 - 4353/324928*c_0101_3^14 + 56075/324928*c_0101_3^12 - 10771/10154*c_0101_3^10 + 1352399/324928*c_0101_3^8 - 837117/81232*c_0101_3^6 + 2211701/162464*c_0101_3^4 - 124007/20308*c_0101_3^2 - 2995/10154, c_0101_1 - 52/5077*c_0101_3^14 + 4385/40616*c_0101_3^12 - 22287/40616*c_0101_3^10 + 17985/10154*c_0101_3^8 - 120703/40616*c_0101_3^6 + 1531/5077*c_0101_3^4 + 70147/20308*c_0101_3^2 + 376/5077, c_0101_3^16 - 15*c_0101_3^14 + 108*c_0101_3^12 - 495*c_0101_3^10 + 1520*c_0101_3^8 - 2970*c_0101_3^6 + 3288*c_0101_3^4 - 1632*c_0101_3^2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB