Magma V2.19-8 Tue Aug 20 2013 23:49:23 on localhost [Seed = 964645830] Type ? for help. Type -D to quit. Loading file "L12n1681__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1681 geometric_solution 11.86661207 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3012 2 2 2 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 -1 1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584129780362 0.619554271453 0 4 5 4 0132 0132 0132 0213 1 2 0 2 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584129780362 0.619554271453 6 0 8 7 0132 0132 0132 0132 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 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 0.726028605173 0.859238923733 9 5 0 0 0132 2031 1230 0132 2 2 0 2 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 1 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 0.584129780362 0.619554271453 9 1 6 1 2310 0132 0321 0213 1 0 2 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 -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 0.584129780362 0.619554271453 3 7 7 1 1302 2103 2031 0132 1 2 2 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 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 0.194364974576 0.854492679562 2 10 4 10 0132 0132 0321 0213 1 0 2 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 1 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562809832877 0.981454371958 11 5 2 5 0132 2103 0132 1302 2 0 1 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 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 0.584129780362 0.619554271453 11 10 11 2 2103 1230 0213 0132 2 0 2 1 0 0 0 0 0 0 0 0 1 -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 0 2 -3 0 1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562809832877 0.981454371958 3 11 4 10 0132 1302 3201 2310 0 2 2 0 0 -1 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 -1 1 0 0 0 0 0 -1 -2 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726028605173 0.859238923733 9 6 8 6 3201 0132 3012 0213 1 2 0 2 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 -1 1 -3 0 0 3 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562809832877 0.981454371958 7 8 8 9 0132 0213 2103 2031 2 0 0 1 0 0 -1 1 -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 -2 2 0 0 -1 1 0 1 0 -1 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560307426067 0.766756680136 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(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_0011_3']), 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_1001_4'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_1001_4'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_4']), 'c_0110_10' : negation(d['c_0101_2']), 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(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_11'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(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' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_11'], '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_11, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 3883/70*c_1001_4^5 + 19867/70*c_1001_4^4 + 1964/7*c_1001_4^3 - 1845/7*c_1001_4^2 + 8429/35*c_1001_4 - 3503/70, c_0011_0 - 1, c_0011_11 - 2/7*c_1001_4^5 - 13/7*c_1001_4^4 - 23/7*c_1001_4^3 - 5/7*c_1001_4^2 - 5/7*c_1001_4 - 3/7, c_0011_3 + 3/35*c_1001_4^5 + 16/35*c_1001_4^4 + 31/35*c_1001_4^3 - 3/35*c_1001_4^2 - 24/35*c_1001_4 - 13/35, c_0011_5 - 13/35*c_1001_4^5 - 81/35*c_1001_4^4 - 146/35*c_1001_4^3 - 22/35*c_1001_4^2 - 1/35*c_1001_4 - 2/35, c_0011_8 + 4/35*c_1001_4^5 + 33/35*c_1001_4^4 + 88/35*c_1001_4^3 + 66/35*c_1001_4^2 + 3/35*c_1001_4 + 41/35, c_0101_0 - c_1001_4 - 1, c_0101_1 - 1, c_0101_10 + 4/35*c_1001_4^5 + 33/35*c_1001_4^4 + 88/35*c_1001_4^3 + 66/35*c_1001_4^2 - 32/35*c_1001_4 + 41/35, c_0101_2 - 9/35*c_1001_4^5 - 48/35*c_1001_4^4 - 58/35*c_1001_4^3 + 9/35*c_1001_4^2 - 33/35*c_1001_4 - 31/35, c_0101_4 + c_1001_4^2, c_1001_1 - 1, c_1001_4^6 + 6*c_1001_4^5 + 10*c_1001_4^4 + 2*c_1001_4^3 + 3*c_1001_4^2 + 2*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB