Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 475889970] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2583 geometric_solution 5.87951928 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -0.678408202379 1.782816458756 0 2 4 3 0132 3201 0132 0132 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 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 0.571869822525 0.588127605283 3 5 1 0 3201 0132 2310 0132 0 0 0 0 0 -1 0 1 -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 -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 0.571869822525 0.588127605283 6 6 1 2 0132 2310 0132 2310 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 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 0.739139870875 0.459941444508 5 6 5 1 2031 1230 1302 0132 0 0 0 0 0 1 0 -1 0 0 0 0 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 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 0.713745447002 0.346857840358 4 2 4 6 2031 0132 1302 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713745447002 0.346857840358 3 5 4 3 0132 0321 3012 3201 0 0 0 0 0 1 -1 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 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 0.932995697756 1.645032494560 ==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_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_1'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 203/13*c_1001_2^5 + 204/13*c_1001_2^4 + 1454/13*c_1001_2^3 - 3264/13*c_1001_2^2 + 201*c_1001_2 - 664/13, c_0011_0 - 1, c_0011_2 + 8/13*c_1001_2^5 - 9/13*c_1001_2^4 - 63/13*c_1001_2^3 + 131/13*c_1001_2^2 - 6*c_1001_2 + 14/13, c_0011_3 + 3/13*c_1001_2^5 - 5/13*c_1001_2^4 - 22/13*c_1001_2^3 + 67/13*c_1001_2^2 - 4*c_1001_2 + 15/13, c_0101_0 + 5/13*c_1001_2^5 - 4/13*c_1001_2^4 - 41/13*c_1001_2^3 + 64/13*c_1001_2^2 - 2*c_1001_2 - 1/13, c_0101_1 + 9/13*c_1001_2^5 - 2/13*c_1001_2^4 - 66/13*c_1001_2^3 + 97/13*c_1001_2^2 - 3*c_1001_2 - 7/13, c_0101_2 + c_1001_2, c_1001_2^6 - c_1001_2^5 - 7*c_1001_2^4 + 16*c_1001_2^3 - 14*c_1001_2^2 + 5*c_1001_2 - 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_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 49377/97*c_1001_2^9 + 11748/97*c_1001_2^8 - 145021/97*c_1001_2^7 + 163493/97*c_1001_2^6 + 680348/97*c_1001_2^5 - 479599/97*c_1001_2^4 - 1244566/97*c_1001_2^3 + 102019/97*c_1001_2^2 + 709809/97*c_1001_2 + 212599/97, c_0011_0 - 1, c_0011_2 - 99/97*c_1001_2^9 + 140/97*c_1001_2^8 + 294/97*c_1001_2^7 - 703/97*c_1001_2^6 - 674/97*c_1001_2^5 + 2877/97*c_1001_2^4 + 804/97*c_1001_2^3 - 2558/97*c_1001_2^2 - 709/97*c_1001_2 + 255/97, c_0011_3 + 115/97*c_1001_2^9 - 96/97*c_1001_2^8 - 318/97*c_1001_2^7 + 701/97*c_1001_2^6 + 1022/97*c_1001_2^5 - 2516/97*c_1001_2^4 - 1222/97*c_1001_2^3 + 2167/97*c_1001_2^2 + 658/97*c_1001_2 - 258/97, c_0101_0 + 115/97*c_1001_2^9 - 96/97*c_1001_2^8 - 318/97*c_1001_2^7 + 701/97*c_1001_2^6 + 1022/97*c_1001_2^5 - 2516/97*c_1001_2^4 - 1222/97*c_1001_2^3 + 2167/97*c_1001_2^2 + 658/97*c_1001_2 - 258/97, c_0101_1 + 140/97*c_1001_2^9 - 3/97*c_1001_2^8 - 307/97*c_1001_2^7 + 613/97*c_1001_2^6 + 1590/97*c_1001_2^5 - 1473/97*c_1001_2^4 - 1766/97*c_1001_2^3 + 677/97*c_1001_2^2 + 354/97*c_1001_2 - 196/97, c_0101_2 + c_1001_2, c_1001_2^10 - 3*c_1001_2^8 + 4*c_1001_2^7 + 13*c_1001_2^6 - 13*c_1001_2^5 - 23*c_1001_2^4 + 8*c_1001_2^3 + 14*c_1001_2^2 + c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB