Magma V2.19-8 Wed Aug 21 2013 00:54:35 on localhost [Seed = 4173259437] Type ? for help. Type -D to quit. Loading file "L12n408__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n408 geometric_solution 12.01108668 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 1 -2 0 0 -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 1 0 -1 1 0 2 -3 0 -2 0 2 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080485597655 0.819154749666 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 -2 2 0 0 0 0 0 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 -1 1 0 -1 0 0 1 -3 0 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.566603970721 0.921818114167 5 0 9 8 0132 0132 0132 0132 0 1 1 1 0 -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 -1 1 0 -1 0 1 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238056662979 1.032542891834 4 10 9 0 0132 0132 3201 0132 0 1 1 1 0 2 -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 1 -1 0 0 0 2 -2 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192940600321 1.294804190075 3 7 0 11 0132 0132 0132 0132 0 1 1 1 0 -2 2 0 0 0 -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 -1 1 0 0 0 3 -3 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018947697376 0.983214860852 2 1 10 11 0132 0132 0132 2310 0 1 1 1 0 2 -2 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 1 0 -1 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 0.238056662979 1.032542891834 10 8 1 12 2103 2103 0132 0132 0 1 0 1 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 1 0 -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 0.222640414466 0.992529689672 10 4 12 1 0132 0132 0132 0132 0 1 1 1 0 2 0 -2 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 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.350409695603 1.112005210915 12 6 2 11 0132 2103 0132 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 0 0 0 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 0.787982442581 0.919601321453 3 11 12 2 2310 2310 0213 0132 0 1 1 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 1 0 -1 0 0 1 -1 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462708564440 0.627036704686 7 3 6 5 0132 0132 2103 0132 0 1 1 1 0 -2 0 2 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 -1 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117055587522 0.655880683057 5 8 4 9 3201 0321 0132 3201 0 1 0 1 0 0 0 0 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 0 0 0 -3 0 3 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 0.787982442581 0.919601321453 8 9 6 7 0132 0213 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 0 0 0 0 0 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 0.462708564440 0.627036704686 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : negation(d['c_0110_11']), 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : negation(d['c_0110_11']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : 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_0'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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_1100_9' : d['c_1001_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : negation(d['c_0110_11']), 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_1001_12']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_0'], '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_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_9, c_0101_0, c_0101_11, c_0101_5, c_0110_11, c_1001_11, c_1001_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 43321/4608*c_1100_1^3 - 790981/32256*c_1100_1^2 - 3674845/32256*c_1100_1 + 39955/10752, c_0011_0 - 1, c_0011_10 - 7/144*c_1100_1^3 + 5/48*c_1100_1^2 + 1/48*c_1100_1 + 493/144, c_0011_11 - 7/72*c_1100_1^3 - 3/8*c_1100_1^2 - 43/24*c_1100_1 + 19/72, c_0011_12 - 7/72*c_1100_1^3 - 3/8*c_1100_1^2 - 43/24*c_1100_1 + 19/72, c_0011_6 - 1, c_0011_9 - 7/36*c_1100_1^3 - 11/24*c_1100_1^2 - 5/3*c_1100_1 - 13/72, c_0101_0 - 7/24*c_1100_1^3 - 5/6*c_1100_1^2 - 83/24*c_1100_1 - 11/12, c_0101_11 + 7/18*c_1100_1^3 + 11/12*c_1100_1^2 + 29/6*c_1100_1 - 5/36, c_0101_5 - 7/12*c_1100_1^3 - 5/3*c_1100_1^2 - 83/12*c_1100_1 + 1/6, c_0110_11 - 7/72*c_1100_1^3 - 1/12*c_1100_1^2 - 7/8*c_1100_1 + 5/9, c_1001_11 - 1/2*c_1100_1 - 1/2, c_1001_12 - 5/24*c_1100_1^2 - 1/12*c_1100_1 - 5/24, c_1100_1^4 + 20/7*c_1100_1^3 + 90/7*c_1100_1^2 + 20/7*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB