Magma V2.19-8 Tue Aug 20 2013 17:57:20 on localhost [Seed = 2378971633] Type ? for help. Type -D to quit. Loading file "9^2_35__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_35 geometric_solution 11.37352243 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3120 0132 1 0 1 1 0 0 0 0 -1 0 1 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 1 -1 0 -3 0 2 1 6 -6 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426282959591 0.828049060196 0 4 0 5 0132 0132 3120 0132 1 0 1 1 0 0 -1 1 1 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 0 -6 6 3 0 -2 -1 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426282959591 0.828049060196 6 0 8 7 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 -6 6 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852948295391 0.709175835971 5 9 0 5 0132 0132 0132 2103 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 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 0.508540920599 0.954652818430 10 1 11 11 0132 0132 0132 2031 1 1 1 1 0 0 -1 1 -1 0 0 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 0 -5 5 -5 0 0 5 5 -5 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426282959591 0.828049060196 3 11 1 3 0132 1230 0132 2103 1 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 6 -6 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 0.508540920599 0.954652818430 2 10 8 10 0132 0132 0321 0213 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 0 -5 0 5 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429865668778 0.964978705718 8 11 2 9 0321 3012 0132 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 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231356835275 0.821419157561 7 9 6 2 0321 0321 0321 0132 1 1 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 0 0 -6 0 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.464440211358 0.500279174569 10 3 7 8 2031 0132 0132 0321 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 -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 0.453842949094 0.768150166782 4 6 9 6 0132 0132 1302 0213 1 1 1 1 0 0 0 0 1 0 0 -1 -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 1 -1 5 0 0 -5 -5 6 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429865668778 0.964978705718 7 4 5 4 1230 1302 3012 0132 1 1 1 1 0 -1 0 1 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 -5 0 5 6 0 -6 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508540920599 0.954652818430 ==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_0011_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_6'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_6'], 's_0_10' : 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' : d['c_0011_3'], '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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_1001_4']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_1001_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : 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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0101_6']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_2, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1771524/9253*c_1001_6^10 + 278748/9253*c_1001_6^9 - 6954471/9253*c_1001_6^8 + 12778624/9253*c_1001_6^7 - 10219673/9253*c_1001_6^6 + 3331456/9253*c_1001_6^5 - 3198572/9253*c_1001_6^4 + 3076450/9253*c_1001_6^3 - 546959/9253*c_1001_6^2 - 308592/9253*c_1001_6 + 229956/9253, c_0011_0 - 1, c_0011_11 - 3159/9253*c_1001_6^10 - 4320/9253*c_1001_6^9 + 6735/9253*c_1001_6^8 - 13279/9253*c_1001_6^7 + 11235/9253*c_1001_6^6 + 1378/9253*c_1001_6^5 - 6750/9253*c_1001_6^4 + 25478/9253*c_1001_6^3 + 2124/9253*c_1001_6^2 - 319/9253*c_1001_6 - 6543/9253, c_0011_3 + 3159/9253*c_1001_6^10 + 4320/9253*c_1001_6^9 - 6735/9253*c_1001_6^8 + 13279/9253*c_1001_6^7 - 11235/9253*c_1001_6^6 - 1378/9253*c_1001_6^5 + 6750/9253*c_1001_6^4 - 25478/9253*c_1001_6^3 - 2124/9253*c_1001_6^2 + 319/9253*c_1001_6 + 6543/9253, c_0011_7 + 90855/9253*c_1001_6^10 + 81540/9253*c_1001_6^9 - 324906/9253*c_1001_6^8 + 402159/9253*c_1001_6^7 - 109121/9253*c_1001_6^6 - 74588/9253*c_1001_6^5 - 133991/9253*c_1001_6^4 + 67343/9253*c_1001_6^3 + 66319/9253*c_1001_6^2 - 9015/9253*c_1001_6 - 21079/9253, c_0011_8 + 64872/9253*c_1001_6^10 + 85155/9253*c_1001_6^9 - 187024/9253*c_1001_6^8 + 222974/9253*c_1001_6^7 - 10860/9253*c_1001_6^6 - 30697/9253*c_1001_6^5 - 116198/9253*c_1001_6^4 + 12545/9253*c_1001_6^3 + 17120/9253*c_1001_6^2 + 4521/9253*c_1001_6 - 4905/9253, c_0101_0 - 1, c_0101_1 + 146682/9253*c_1001_6^10 + 107349/9253*c_1001_6^9 - 556468/9253*c_1001_6^8 + 713016/9253*c_1001_6^7 - 266941/9253*c_1001_6^6 - 97227/9253*c_1001_6^5 - 226098/9253*c_1001_6^4 + 162249/9253*c_1001_6^3 + 97350/9253*c_1001_6^2 - 16163/9253*c_1001_6 - 26924/9253, c_0101_11 - 1, c_0101_6 + 47979/9253*c_1001_6^10 + 63477/9253*c_1001_6^9 - 151878/9253*c_1001_6^8 + 143475/9253*c_1001_6^7 + 26048/9253*c_1001_6^6 - 75419/9253*c_1001_6^5 - 63323/9253*c_1001_6^4 - 5057/9253*c_1001_6^3 + 37494/9253*c_1001_6^2 + 8562/9253*c_1001_6 - 4543/9253, c_1001_2 - 90855/9253*c_1001_6^10 - 81540/9253*c_1001_6^9 + 324906/9253*c_1001_6^8 - 402159/9253*c_1001_6^7 + 109121/9253*c_1001_6^6 + 74588/9253*c_1001_6^5 + 133991/9253*c_1001_6^4 - 67343/9253*c_1001_6^3 - 66319/9253*c_1001_6^2 + 9015/9253*c_1001_6 + 21079/9253, c_1001_4 - 137799/9253*c_1001_6^10 - 176343/9253*c_1001_6^9 + 420562/9253*c_1001_6^8 - 469421/9253*c_1001_6^7 - 26108/9253*c_1001_6^6 + 120083/9253*c_1001_6^5 + 225861/9253*c_1001_6^4 - 60616/9253*c_1001_6^3 - 89799/9253*c_1001_6^2 + 4090/9253*c_1001_6 + 19699/9253, c_1001_6^11 + 1/3*c_1001_6^10 - 38/9*c_1001_6^9 + 19/3*c_1001_6^8 - 29/9*c_1001_6^7 - 8/9*c_1001_6^6 - 2/3*c_1001_6^5 + 5/3*c_1001_6^4 + 1/3*c_1001_6^3 - 5/9*c_1001_6^2 - 1/9*c_1001_6 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB