Magma V2.19-8 Wed Aug 21 2013 01:00:57 on localhost [Seed = 1713405319] Type ? for help. Type -D to quit. Loading file "L13n9898__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9898 geometric_solution 12.28861397 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 2 1 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 -1 2 -1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462205866374 0.589601873815 0 5 7 6 0132 0132 0132 0132 2 1 1 2 0 0 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 3 -3 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 0.331830921174 1.263856221361 7 0 9 8 1230 0132 0132 0132 0 2 1 2 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 1 -2 1 1 0 0 -1 0 0 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617531507713 0.813719112230 10 10 11 0 0132 0213 0132 0132 0 1 1 1 0 0 1 -1 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 0 2 -2 1 0 0 -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 1.300731005426 0.751695118287 6 5 0 8 1302 1302 0132 0213 0 1 2 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 0 0 0 0 0 1 -1 -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 0.574042186876 0.708905986491 12 1 11 4 0132 0132 3012 2031 2 0 2 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 0.617531507713 0.813719112230 7 4 1 9 0321 2031 0132 2310 2 1 2 1 0 0 1 -1 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 3 -4 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 0.101858890094 0.843310370562 6 2 12 1 0321 3012 3012 0132 2 1 2 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 3 0 -3 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 0.326927689167 0.618390774106 11 10 2 4 0321 0321 0132 0213 0 2 1 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 -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 0.300731005426 0.751695118287 6 12 11 2 3201 1230 0321 0132 0 2 2 1 0 0 -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 -2 2 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622756488307 1.036430813300 3 12 3 8 0132 1302 0213 0321 0 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 -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 0.423676684163 0.333058427348 8 5 9 3 0321 1230 0321 0132 0 1 1 2 0 0 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 2 -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 0.663428794670 0.713167879820 5 7 9 10 0132 1230 3012 2031 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462205866374 0.589601873815 ==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_0101_5'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_1001_9'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(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' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_1001_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_1001_9']), '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], '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_7'], 'c_0110_6' : negation(d['c_0011_7']), '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' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_10']), 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_12, c_0101_5, c_1001_0, c_1001_11, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 4603957/4096*c_1001_9^7 + 13130641/1024*c_1001_9^6 - 97980257/2048*c_1001_9^5 + 263850127/4096*c_1001_9^4 - 107616827/4096*c_1001_9^3 + 110162967/4096*c_1001_9^2 - 16179025/512*c_1001_9 - 3458477/1024, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 9/128*c_1001_9^7 + 13/16*c_1001_9^6 - 195/64*c_1001_9^5 + 495/128*c_1001_9^4 - 71/128*c_1001_9^3 + 55/128*c_1001_9^2 - 3/2*c_1001_9 - 17/32, c_0011_4 - 3/128*c_1001_9^7 + 1/4*c_1001_9^6 - 53/64*c_1001_9^5 + 125/128*c_1001_9^4 - 125/128*c_1001_9^3 + 197/128*c_1001_9^2 + 5/32, c_0011_6 - 1/128*c_1001_9^7 + 1/16*c_1001_9^6 - 3/64*c_1001_9^5 - 57/128*c_1001_9^4 + 33/128*c_1001_9^3 + 159/128*c_1001_9^2 - 1/8*c_1001_9 - 1/32, c_0011_7 - 9/128*c_1001_9^7 + 13/16*c_1001_9^6 - 195/64*c_1001_9^5 + 495/128*c_1001_9^4 - 71/128*c_1001_9^3 + 55/128*c_1001_9^2 - 3/2*c_1001_9 - 17/32, c_0011_8 + c_1001_9 - 1, c_0011_9 + 1/128*c_1001_9^7 - 1/16*c_1001_9^6 + 3/64*c_1001_9^5 + 57/128*c_1001_9^4 - 33/128*c_1001_9^3 - 159/128*c_1001_9^2 + 1/8*c_1001_9 + 1/32, c_0101_12 - 1/128*c_1001_9^7 + 1/16*c_1001_9^6 - 3/64*c_1001_9^5 - 57/128*c_1001_9^4 + 33/128*c_1001_9^3 + 159/128*c_1001_9^2 + 7/8*c_1001_9 - 1/32, c_0101_5 - 1, c_1001_0 - 1, c_1001_11 - 5/64*c_1001_9^7 + 13/16*c_1001_9^6 - 83/32*c_1001_9^5 + 171/64*c_1001_9^4 - 79/64*c_1001_9^3 + 119/64*c_1001_9^2 - 3/16*c_1001_9 + 1/16, c_1001_9^8 - 11*c_1001_9^7 + 38*c_1001_9^6 - 41*c_1001_9^5 + 4*c_1001_9^4 - 20*c_1001_9^3 + 21*c_1001_9^2 + 12*c_1001_9 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB