Magma V2.19-8 Tue Aug 20 2013 23:49:00 on localhost [Seed = 3717969737] Type ? for help. Type -D to quit. Loading file "L12n1319__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1319 geometric_solution 11.04124910 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 0 1 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 0 0 0 -1 -1 2 -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 0.919695053820 1.235754675737 0 5 5 6 0132 0132 1302 0132 0 1 1 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 -1 1 1 0 -1 0 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517289526221 0.968069576770 7 0 8 6 0132 0132 0132 2031 0 0 1 1 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 1 -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 0.849547999593 0.436029742134 9 8 10 0 0132 1230 0132 0132 0 1 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 -1 0 1 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961540558377 1.055036937407 7 9 0 11 1302 0321 0132 0132 0 1 0 1 0 0 1 -1 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 -2 1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.110274659075 0.561842903108 1 1 7 9 2031 0132 1023 2031 0 0 1 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 0 0 0 0 0 0 0 1 0 0 -1 -2 1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570623991779 0.803545847120 8 2 1 11 0213 1302 0132 3120 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 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 0.277670739228 0.635754396994 2 4 5 10 0132 2031 1023 2310 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 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 0.889725340925 0.561842903108 6 9 3 2 0213 0213 3012 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.086712580792 1.141981125194 3 5 8 4 0132 1302 0213 0321 0 1 0 1 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 0 -1 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947715255208 0.962844151935 7 11 11 3 3201 2103 0132 0132 0 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 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 -0.052284744792 0.962844151935 6 10 4 10 3120 2103 0132 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 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 0.350838064935 0.745256314132 ==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_0011_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_11'], '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' : 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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_6'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0011_8'], 'c_1100_9' : d['c_1001_2'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_10, c_0101_11, c_0101_7, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 21818/85*c_1100_0^6 - 58557/85*c_1100_0^5 - 45211/85*c_1100_0^4 - 561*c_1100_0^3 - 70952/85*c_1100_0^2 - 21106/17*c_1100_0 - 100549/170, c_0011_0 - 1, c_0011_10 - 3/5*c_1100_0^6 - 12/5*c_1100_0^5 - 16/5*c_1100_0^4 - 3*c_1100_0^3 - 22/5*c_1100_0^2 - 4*c_1100_0 - 7/5, c_0011_11 - 6/5*c_1100_0^6 - 14/5*c_1100_0^5 - 7/5*c_1100_0^4 - 2*c_1100_0^3 - 19/5*c_1100_0^2 - 5*c_1100_0 - 9/5, c_0011_3 - 2/5*c_1100_0^6 - 3/5*c_1100_0^5 + 1/5*c_1100_0^4 - c_1100_0^3 - 8/5*c_1100_0^2 - c_1100_0 + 2/5, c_0011_4 + 6/5*c_1100_0^6 + 14/5*c_1100_0^5 + 2/5*c_1100_0^4 + 14/5*c_1100_0^2 + 4*c_1100_0 + 4/5, c_0011_6 - 1, c_0011_8 + 6/5*c_1100_0^6 + 14/5*c_1100_0^5 + 7/5*c_1100_0^4 + 2*c_1100_0^3 + 14/5*c_1100_0^2 + 4*c_1100_0 + 9/5, c_0101_10 - 6/5*c_1100_0^6 - 14/5*c_1100_0^5 - 7/5*c_1100_0^4 - 2*c_1100_0^3 - 14/5*c_1100_0^2 - 4*c_1100_0 - 4/5, c_0101_11 + 3/5*c_1100_0^6 + 7/5*c_1100_0^5 + 1/5*c_1100_0^4 + 12/5*c_1100_0^2 + 3*c_1100_0 + 7/5, c_0101_7 - 4/5*c_1100_0^6 - 11/5*c_1100_0^5 - 8/5*c_1100_0^4 - c_1100_0^3 - 11/5*c_1100_0^2 - 4*c_1100_0 - 11/5, c_1001_2 + 6/5*c_1100_0^6 + 14/5*c_1100_0^5 + 7/5*c_1100_0^4 + 2*c_1100_0^3 + 14/5*c_1100_0^2 + 4*c_1100_0 + 4/5, c_1100_0^7 + 3*c_1100_0^6 + 3*c_1100_0^5 + 3*c_1100_0^4 + 4*c_1100_0^3 + 6*c_1100_0^2 + 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB