Magma V2.19-8 Tue Aug 20 2013 23:47:31 on localhost [Seed = 442265666] Type ? for help. Type -D to quit. Loading file "L10n61__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n61 geometric_solution 11.08216662 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 -1 1 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 -1 1 0 -6 5 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369459428659 0.651364464171 0 5 3 6 0132 0132 2103 0132 0 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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767214384062 0.792551992515 7 0 9 8 0132 0132 0132 0132 1 1 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767214384062 0.792551992515 1 10 9 0 2103 0132 0321 0132 1 0 0 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108378285976 1.954093392513 10 5 0 6 0132 1302 0132 2031 1 0 0 1 0 0 0 0 1 0 -1 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 0 1 -1 5 0 -5 0 0 -5 0 5 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369459428659 0.651364464171 11 1 8 4 0132 0132 2103 2031 0 1 1 0 0 0 -1 1 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 -5 5 0 0 0 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369459428659 0.651364464171 7 4 1 11 2310 1302 0132 0213 0 0 1 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 -1 1 -1 1 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369459428659 0.651364464171 2 11 6 8 0132 0132 3201 2103 0 1 1 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 6 -6 0 -1 0 1 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108378285976 1.954093392513 5 10 2 7 2103 0213 0132 2103 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 0 0 0 0 0 0 0 -1 1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573949517852 0.368989407482 10 11 3 2 3201 1230 0321 0132 1 1 1 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 -1 0 0 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341163901914 1.161541399997 4 3 8 9 0132 0132 0213 2310 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 0 0 0 0 0 -5 0 5 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 -0.232785615938 0.792551992515 5 7 9 6 0132 0132 3012 0213 0 1 0 1 0 -1 1 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 -6 6 0 0 0 0 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369459428659 0.651364464171 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_5']), 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_9']), 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_1001_9']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_1001_0, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 479/32*c_1001_0^2 + 923/16*c_1001_0 + 2275/32, c_0011_0 - 1, c_0011_10 - c_1001_0, c_0011_6 - c_1001_0, c_0011_8 - 1/2*c_1001_0^2 + 2*c_1001_0 + 1/2, c_0011_9 + c_1001_0, c_0101_0 - 1, c_0101_1 - 1/2*c_1001_0^2 + 2*c_1001_0 - 1/2, c_0101_11 - 1/2*c_1001_0^2 + 1/2, c_0101_2 - 1/2*c_1001_0^2 + c_1001_0 - 1/2, c_0101_5 + 1/2*c_1001_0^2 - 2*c_1001_0 + 1/2, c_1001_0^3 - 5*c_1001_0^2 + c_1001_0 - 1, c_1001_9 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_1001_0, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 2/27*c_1001_0^2 + 1/3*c_1001_0 - 19/27, c_0011_0 - 1, c_0011_10 + c_1001_0 - 1, c_0011_6 + c_1001_0 - 1, c_0011_8 + c_1001_0^2 - c_1001_0, c_0011_9 + c_1001_0, c_0101_0 - 1, c_0101_1 - c_1001_0^2 + 2*c_1001_0 - 2, c_0101_11 - c_1001_0^2 + 2*c_1001_0 - 2, c_0101_2 - c_1001_0^2 + c_1001_0 - 2, c_0101_5 + c_1001_0^2 - 2*c_1001_0 + 2, c_1001_0^3 - 3*c_1001_0^2 + 4*c_1001_0 - 3, c_1001_9 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_1001_0, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 26/3*c_1001_0^4 - 167/6*c_1001_0^3 - 25/2*c_1001_0^2 + 24*c_1001_0 + 73/6, c_0011_0 - 1, c_0011_10 + 3*c_1001_0^4 - 11*c_1001_0^3 + 4*c_1001_0^2 - 2*c_1001_0 - 5, c_0011_6 - 3*c_1001_0^4 + 11*c_1001_0^3 - 4*c_1001_0^2 + 2*c_1001_0 + 5, c_0011_8 + c_1001_0^4 - 3*c_1001_0^3 - c_1001_0^2 - 2, c_0011_9 - c_1001_0, c_0101_0 - 1, c_0101_1 + 2*c_1001_0^4 - 7*c_1001_0^3 + 2*c_1001_0^2 - 2*c_1001_0 - 3, c_0101_11 - c_1001_0^4 + 4*c_1001_0^3 - 2*c_1001_0^2 + c_1001_0 + 1, c_0101_2 + 2*c_1001_0^4 - 7*c_1001_0^3 + 2*c_1001_0^2 - c_1001_0 - 3, c_0101_5 + 2*c_1001_0^4 - 7*c_1001_0^3 + 2*c_1001_0^2 - 2*c_1001_0 - 3, c_1001_0^5 - 3*c_1001_0^4 - c_1001_0^3 - 2*c_1001_0 - 1, c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB