Magma V2.19-8 Tue Aug 20 2013 23:26:33 on localhost [Seed = 3120552090] Type ? for help. Type -D to quit. Loading file "K7a3__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K7a3 geometric_solution 6.44353738 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -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 8 0 0 -8 9 -1 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612379976303 1.028696654536 0 0 4 4 0132 0213 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -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 -1 1 -9 0 0 9 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320753744735 0.851241638634 4 0 5 3 0213 0132 0132 0213 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 1 0 0 -1 -1 1 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510131858765 0.485607673806 6 5 0 2 0132 0132 0132 0213 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 -1 1 0 0 0 0 0 0 -1 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570496512712 0.261235679414 2 1 1 6 0213 0213 0132 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 -1 0 1 1 0 -1 0 -1 1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572726172862 0.717749066847 6 3 6 2 3120 0132 2310 0132 0 0 0 0 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 1 -1 0 0 0 0 0 9 0 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814039941491 0.689114598133 3 5 4 5 0132 3201 0132 3120 0 0 0 0 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 -1 1 0 0 0 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814039941491 0.689114598133 ==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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_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_3, c_0011_4, c_0101_5, c_0101_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 42*c_1001_2^7 + 779/8*c_1001_2^6 - 226*c_1001_2^5 + 1547/4*c_1001_2^4 - 1149/8*c_1001_2^3 + 33/8*c_1001_2^2 - 141/8*c_1001_2 + 503/8, c_0011_0 - 1, c_0011_3 - 7/8*c_1001_2^7 + 2*c_1001_2^6 - 19/4*c_1001_2^5 + 65/8*c_1001_2^4 - 29/8*c_1001_2^3 + 9/8*c_1001_2^2 - 11/8*c_1001_2 + 1, c_0011_4 - 1/8*c_1001_2^6 - 1/4*c_1001_2^4 - 1/8*c_1001_2^3 + 13/8*c_1001_2^2 - 1/8*c_1001_2 - 5/8, c_0101_5 - c_1001_2, c_0101_6 + 3/8*c_1001_2^7 - 5/8*c_1001_2^6 + 7/4*c_1001_2^5 - 23/8*c_1001_2^4 + 1/2*c_1001_2^3 - 3/2*c_1001_2^2 + 1/4*c_1001_2 - 1/8, c_1001_0 + 3/8*c_1001_2^7 - 9/8*c_1001_2^6 + 11/4*c_1001_2^5 - 39/8*c_1001_2^4 + 4*c_1001_2^3 - c_1001_2^2 - 1/4*c_1001_2 - 5/8, c_1001_2^8 - 3*c_1001_2^7 + 7*c_1001_2^6 - 13*c_1001_2^5 + 10*c_1001_2^4 - 3*c_1001_2^3 + c_1001_2^2 - 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB