Magma V2.19-8 Tue Aug 20 2013 23:51:05 on localhost [Seed = 4004021736] Type ? for help. Type -D to quit. Loading file "L13a5050__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5050 geometric_solution 11.28895811 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 -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 0.426338573697 0.764673770799 0 4 5 0 0132 0132 0132 2031 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 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 0.627766479919 0.836794212355 6 6 7 0 0132 1230 0132 0132 1 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 0 0 0 0 -1 0 1 0 0 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597111458905 1.363811777545 7 4 0 8 1302 1302 0132 0132 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 0.562300881875 0.662745405150 9 1 9 3 0132 0132 3012 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 -4 0 5 -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 0.443778438206 0.997629736780 10 11 9 1 0132 0132 3120 0132 1 1 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 1 0 -1 0 0 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255638543721 0.877327692026 2 9 2 11 0132 1302 3012 3012 1 1 1 0 0 -1 0 1 0 0 0 0 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 4 0 -4 0 0 1 -1 0 -5 0 5 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730609151358 0.615292851380 11 3 8 2 3012 2031 2310 0132 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 0.366473263966 0.356265333211 8 7 3 8 3012 3201 0132 1230 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 0.997884830001 1.139959715526 4 4 5 6 0132 1230 3120 2031 1 1 0 1 0 1 0 -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 -5 0 5 4 0 0 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426338573697 0.764673770799 5 10 11 10 0132 2310 3201 3201 1 1 1 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 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001627664061 0.877220961051 10 5 6 7 2310 0132 1230 1230 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 5 0 -5 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.402888541095 1.363811777545 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : 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_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : negation(d['c_0011_2']), 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : d['c_0011_8'], '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' : 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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_2']), 'c_0110_8' : d['c_0011_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], '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_2, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/5*c_0101_2 - 1/2, c_0011_0 - 1, c_0011_10 + 1, c_0011_2 - 1/2*c_0101_2 - 1/2, c_0011_3 - 1/2*c_0101_2 + 1/2, c_0011_7 + 1, c_0011_8 + 1/2*c_0101_2 + 1/2, c_0101_0 + 1/2*c_0101_2 + 1/2, c_0101_11 + 1/2*c_0101_2 + 1/2, c_0101_2^2 - 5, c_0101_7 + 1, c_0101_8 - 1, c_0101_9 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB