Magma V2.19-8 Tue Aug 20 2013 23:55:41 on localhost [Seed = 3381633413] Type ? for help. Type -D to quit. Loading file "L14n1255__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1255 geometric_solution 11.39388178 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 1 1 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 0 0 0 1 0 -1 -16 0 0 16 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680154173740 1.082473226620 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 -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 0 -1 16 0 -16 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 0.457341036072 0.570214329076 7 0 8 6 0132 0132 0132 3120 1 1 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 -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 0.393241579452 1.223960164436 9 0 10 0 0132 0321 0132 0132 1 1 1 1 0 0 0 0 -1 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 1 -1 0 17 0 -17 0 0 1 0 -1 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583840150446 0.662323209250 10 1 8 11 1023 0132 3120 0132 0 1 1 1 0 1 -1 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 -1 0 1 17 0 -17 0 -16 -1 0 17 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207474860972 1.278428561139 9 11 1 8 2103 0132 0132 3120 0 1 1 1 0 0 -1 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 0 -1 1 0 -17 0 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586683510061 0.887825481537 2 8 11 1 3120 3120 0132 0132 0 1 1 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 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696620789726 0.611980082218 2 10 9 9 0132 1023 0213 2103 1 1 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 0 0 0 0 0 0 0 0.457341036072 0.570214329076 5 6 4 2 3120 3120 3120 0132 1 1 1 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 1 -1 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381031816523 0.370287184824 3 7 5 7 0132 0213 2103 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643083040963 0.785839705900 7 4 11 3 1023 1023 1302 0132 1 1 1 1 0 1 -1 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 -17 16 1 0 0 -17 17 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603737430486 0.639214280570 10 5 4 6 2031 0132 0132 0132 0 1 1 1 0 0 0 0 1 0 0 -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 1 -1 0 -16 0 0 16 0 0 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123686490316 0.762137355371 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0101_4'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_1001_4']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0101_4']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : 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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1423039/219232*c_1001_4^4 - 1265493/109616*c_1001_4^3 - 2104057/219232*c_1001_4^2 - 2882111/219232*c_1001_4 + 1284917/109616, c_0011_0 - 1, c_0011_11 - 3/25*c_1001_4^4 + 2/25*c_1001_4^3 + 19/25*c_1001_4^2 + 1/25*c_1001_4 + 33/25, c_0011_3 + 7/50*c_1001_4^4 + 6/25*c_1001_4^3 + 39/50*c_1001_4^2 + 31/50*c_1001_4 + 24/25, c_0011_6 + 1/5*c_1001_4^4 + 1/5*c_1001_4^3 + 2/5*c_1001_4^2 + 3/5*c_1001_4 - 1/5, c_0011_8 + 1, c_0101_0 - 1/25*c_1001_4^4 + 9/25*c_1001_4^3 - 2/25*c_1001_4^2 - 8/25*c_1001_4 - 14/25, c_0101_11 - 3/50*c_1001_4^4 + 1/25*c_1001_4^3 + 19/50*c_1001_4^2 + 1/50*c_1001_4 + 4/25, c_0101_2 + 13/50*c_1001_4^4 + 4/25*c_1001_4^3 + 1/50*c_1001_4^2 + 29/50*c_1001_4 - 34/25, c_0101_3 + 21/50*c_1001_4^4 + 18/25*c_1001_4^3 + 17/50*c_1001_4^2 + 43/50*c_1001_4 - 3/25, c_0101_4 - 4/25*c_1001_4^4 - 14/25*c_1001_4^3 - 8/25*c_1001_4^2 - 32/25*c_1001_4 - 6/25, c_0101_8 - c_1001_4, c_1001_4^5 + 2*c_1001_4^4 + 3*c_1001_4^3 + 5*c_1001_4^2 + 2*c_1001_4 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12287/6048*c_1001_4^5 + 103745/6048*c_1001_4^4 + 28595/864*c_1001_4^3 + 56713/3024*c_1001_4^2 + 43189/2016*c_1001_4 + 77729/3024, c_0011_0 - 1, c_0011_11 + 6*c_1001_4^5 + 11*c_1001_4^4 + 6*c_1001_4^3 + 31*c_1001_4^2 - 5*c_1001_4 + 21, c_0011_3 - 7/2*c_1001_4^5 - 13/2*c_1001_4^4 - 7/2*c_1001_4^3 - 18*c_1001_4^2 + 5/2*c_1001_4 - 12, c_0011_6 + 1/2*c_1001_4^5 + c_1001_4^4 + 1/2*c_1001_4^3 + 5/2*c_1001_4^2 + 1, c_0011_8 + 1, c_0101_0 + 4*c_1001_4^5 + 7*c_1001_4^4 + 3*c_1001_4^3 + 20*c_1001_4^2 - 4*c_1001_4 + 14, c_0101_11 - 3*c_1001_4^5 - 11/2*c_1001_4^4 - 3*c_1001_4^3 - 31/2*c_1001_4^2 + 5/2*c_1001_4 - 10, c_0101_2 + 5/2*c_1001_4^5 + 9/2*c_1001_4^4 + 5/2*c_1001_4^3 + 13*c_1001_4^2 - 5/2*c_1001_4 + 10, c_0101_3 - 9/2*c_1001_4^5 - 15/2*c_1001_4^4 - 5/2*c_1001_4^3 - 22*c_1001_4^2 + 13/2*c_1001_4 - 15, c_0101_4 - 7/2*c_1001_4^5 - 6*c_1001_4^4 - 5/2*c_1001_4^3 - 35/2*c_1001_4^2 + 5*c_1001_4 - 12, c_0101_8 + c_1001_4, c_1001_4^6 + 3*c_1001_4^5 + 3*c_1001_4^4 + 6*c_1001_4^3 + 5*c_1001_4^2 + 2*c_1001_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB