Magma V2.19-8 Tue Aug 20 2013 23:55:55 on localhost [Seed = 1292576113] Type ? for help. Type -D to quit. Loading file "L14n13418__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13418 geometric_solution 11.80771722 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 0 1 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543564920925 1.068746388019 0 4 5 0 0132 0132 0132 2103 0 1 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 0 0 1 0 -1 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 0.543564920925 1.068746388019 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 1 0 -1 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 -1 -1 0 2 -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 -0.074067439497 0.983681163727 9 10 9 0 0132 0132 3120 0132 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 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 0.488609983814 0.754892863813 6 1 5 7 1023 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212404753217 1.023691474294 8 4 8 1 1302 1230 0321 0132 0 1 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 -6 0 5 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 0.337961913935 0.791340524347 2 4 7 9 0132 1023 1302 2031 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 -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 0 0 0 0 0.323546979002 0.591747921271 6 11 2 4 2031 0132 0132 1023 0 0 0 0 0 1 -1 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 -2 1 1 -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 0.323546979002 0.591747921271 10 5 5 2 3201 2031 0321 0132 0 0 0 1 0 0 0 0 -1 0 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 2 0 0 -2 0 0 0 0 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543564920925 1.068746388019 3 6 3 11 0132 1302 3120 3120 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 -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 0.488609983814 0.754892863813 11 3 11 8 2103 0132 0132 2310 0 1 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 0 0 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488609983814 0.754892863813 9 7 10 10 3120 0132 2103 0132 0 1 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 2 -2 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 0.615107628765 0.907996528550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_1001_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_10'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : 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_11, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 29509/176*c_1001_0^3 - 27175/176*c_1001_0^2 - 3055/352*c_1001_0 + 9951/352, c_0011_0 - 1, c_0011_10 + 69/16*c_1001_0^3 + 25/16*c_1001_0^2 - 31/16*c_1001_0 - 7/16, c_0011_11 + 115/16*c_1001_0^3 + 103/16*c_1001_0^2 + 7/16*c_1001_0 - 25/16, c_0011_5 - 23/2*c_1001_0^3 - 8*c_1001_0^2 - 1/2*c_1001_0, c_0011_8 + 1, c_0101_0 - 1, c_0101_1 - 23*c_1001_0^3 - 55/2*c_1001_0^2 - 4*c_1001_0 + 7/2, c_0101_10 + 161/16*c_1001_0^3 + 181/16*c_1001_0^2 - 3/16*c_1001_0 - 43/16, c_0101_2 - c_1001_0, c_0101_4 - 23/2*c_1001_0^3 - 8*c_1001_0^2 + 3/2*c_1001_0 + 1, c_1001_0^4 + 16/23*c_1001_0^3 - 4/23*c_1001_0^2 - 4/23*c_1001_0 + 1/23, c_1001_5 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5395/11*c_1001_0^3 + 9848/33*c_1001_0^2 - 62/99*c_1001_0 - 5684/99, c_0011_0 - 1, c_0011_10 + c_1001_0^2 - 5/3*c_1001_0 - 2/3, c_0011_11 + 3*c_1001_0^3 - 4/3*c_1001_0 - 4/3, c_0011_5 - 3*c_1001_0^3 + 2*c_1001_0^2 + c_1001_0 - 1, c_0011_8 + 1, c_0101_0 - 1, c_0101_1 - 3*c_1001_0^2 + 2*c_1001_0 + 1, c_0101_10 + 6*c_1001_0^3 - 2*c_1001_0^2 - 7/3*c_1001_0 - 4/3, c_0101_2 - c_1001_0, c_0101_4 + c_1001_0 - 1, c_1001_0^4 - 1/3*c_1001_0^3 - 5/9*c_1001_0^2 - 1/9*c_1001_0 + 1/9, c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB