Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 408519886] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1116 geometric_solution 4.98310853 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.697093088285 0.240237353192 0 0 3 2 0132 2310 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 1.448867294563 1.133230130311 4 3 1 5 0132 2031 0132 0132 0 0 0 0 0 -1 0 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 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 0.698060786507 0.781239828436 2 4 6 1 1302 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.698060786507 0.781239828436 2 5 6 3 0132 0321 0321 3201 0 0 0 0 0 -1 0 1 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 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 0.305418741302 0.182273126692 6 6 2 4 0213 3120 0132 0321 0 0 0 0 0 0 -1 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 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 0.346957966496 0.353470867520 5 5 4 3 0213 3120 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346957966496 0.353470867520 ==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' : negation(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' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : 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' : d['c_1001_4'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : d['c_1001_4'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_2']), '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' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_3']), '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_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 40/3*c_1001_4 - 64/3, c_0011_0 - 1, c_0011_2 + c_0011_3 - 1/2, c_0011_3^2 - 1/2*c_0011_3 + 3/4*c_1001_4 - 3/4, c_0011_5 + 1/2*c_1001_4, c_0101_0 + c_1001_4, c_0101_1 + 1, c_1001_4^2 + c_1001_4 - 1 ], 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_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 56849/35948*c_1001_4^9 - 7373/1892*c_1001_4^8 + 140583/17974*c_1001_4^7 + 72349/3268*c_1001_4^6 - 298301/17974*c_1001_4^5 - 54539/946*c_1001_4^4 + 6705/473*c_1001_4^3 + 766096/8987*c_1001_4^2 + 107154/8987*c_1001_4 - 150960/8987, c_0011_0 - 1, c_0011_2 - 17/1634*c_1001_4^9 - 9/344*c_1001_4^8 + 367/6536*c_1001_4^7 + 531/3268*c_1001_4^6 - 611/6536*c_1001_4^5 - 39/172*c_1001_4^4 - 7/172*c_1001_4^3 + 81/1634*c_1001_4^2 + 485/1634*c_1001_4 + 305/817, c_0011_3 - 17/1634*c_1001_4^9 - 9/344*c_1001_4^8 + 367/6536*c_1001_4^7 + 531/3268*c_1001_4^6 - 611/6536*c_1001_4^5 - 39/172*c_1001_4^4 - 7/172*c_1001_4^3 + 81/1634*c_1001_4^2 + 485/1634*c_1001_4 + 305/817, c_0011_5 - 45/817*c_1001_4^9 - 35/344*c_1001_4^8 + 1991/6536*c_1001_4^7 + 925/1634*c_1001_4^6 - 5109/6536*c_1001_4^5 - 63/43*c_1001_4^4 + 183/172*c_1001_4^3 + 1512/817*c_1001_4^2 - 1229/1634*c_1001_4 + 221/817, c_0101_0 + 329/6536*c_1001_4^9 + 29/344*c_1001_4^8 - 519/1634*c_1001_4^7 - 2519/6536*c_1001_4^6 + 1523/1634*c_1001_4^5 + 35/43*c_1001_4^4 - 245/172*c_1001_4^3 - 1293/1634*c_1001_4^2 + 683/817*c_1001_4 - 935/817, c_0101_1 - 107/6536*c_1001_4^9 - 11/344*c_1001_4^8 + 499/3268*c_1001_4^7 + 1599/6536*c_1001_4^6 - 383/817*c_1001_4^5 - 105/172*c_1001_4^4 + 173/172*c_1001_4^3 + 1389/1634*c_1001_4^2 - 910/817*c_1001_4 - 277/817, c_1001_4^10 + 3*c_1001_4^9 - 4*c_1001_4^8 - 17*c_1001_4^7 + 6*c_1001_4^6 + 44*c_1001_4^5 - 64*c_1001_4^3 - 16*c_1001_4^2 + 16*c_1001_4 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB