Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 661044221] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1700 geometric_solution 5.41335267 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 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 0.675089330161 0.841437467791 0 2 3 4 0132 3012 3120 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.411948132867 1.336079329491 1 0 6 5 1230 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0.727060147092 1.072900500763 6 5 1 0 2310 1023 3120 0132 0 0 0 0 0 0 -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 -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 1.945692525707 0.926713987536 1 6 0 6 3201 2103 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.467015038189 0.165981578477 3 5 2 5 1023 1302 0132 2031 0 0 0 0 0 0 -1 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 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 0.063020125320 1.075388468899 4 4 3 2 3120 2103 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243337572741 0.366654511573 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_1_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2581166438/6080431*c_0110_5^10 + 58515501843/12160862*c_0110_5^9 + 95273901731/12160862*c_0110_5^8 - 31881576820/6080431*c_0110_5^7 - 893229625/35147*c_0110_5^6 - 18084428958/868633*c_0110_5^5 + 46230052579/12160862*c_0110_5^4 + 300318162479/12160862*c_0110_5^3 + 93344871579/6080431*c_0110_5^2 - 94924670549/12160862*c_0110_5 - 60964018551/12160862, c_0011_0 - 1, c_0011_3 + 27095/868633*c_0110_5^10 + 310079/868633*c_0110_5^9 + 499506/868633*c_0110_5^8 - 620139/868633*c_0110_5^7 - 10627/5021*c_0110_5^6 - 984205/868633*c_0110_5^5 + 874913/868633*c_0110_5^4 + 1512910/868633*c_0110_5^3 + 865443/868633*c_0110_5^2 - 441568/868633*c_0110_5 - 131401/868633, c_0011_4 - 1444983/3474532*c_0110_5^10 - 4241953/868633*c_0110_5^9 - 16818029/1737266*c_0110_5^8 + 841710/868633*c_0110_5^7 + 122952/5021*c_0110_5^6 + 103644431/3474532*c_0110_5^5 + 8587053/868633*c_0110_5^4 - 15292659/868633*c_0110_5^3 - 68625001/3474532*c_0110_5^2 + 446843/1737266*c_0110_5 + 2897605/868633, c_0011_6 - c_0110_5 - 1, c_0101_0 + 150963/868633*c_0110_5^10 + 3150629/1737266*c_0110_5^9 + 1156041/868633*c_0110_5^8 - 5468983/868633*c_0110_5^7 - 57360/5021*c_0110_5^6 - 45161/868633*c_0110_5^5 + 26002177/1737266*c_0110_5^4 + 16232788/868633*c_0110_5^3 + 3154925/868633*c_0110_5^2 - 18513393/1737266*c_0110_5 - 4383741/868633, c_0101_2 + 500017/3474532*c_0110_5^10 + 1472956/868633*c_0110_5^9 + 5880063/1737266*c_0110_5^8 - 499506/868633*c_0110_5^7 - 45550/5021*c_0110_5^6 - 37147629/3474532*c_0110_5^5 - 2015897/868633*c_0110_5^4 + 7125359/868633*c_0110_5^3 + 31449635/3474532*c_0110_5^2 - 230835/1737266*c_0110_5 - 1689901/868633, c_0110_5^11 + 12*c_0110_5^10 + 26*c_0110_5^9 - 68*c_0110_5^7 - 89*c_0110_5^6 - 24*c_0110_5^5 + 64*c_0110_5^4 + 75*c_0110_5^3 + 6*c_0110_5^2 - 24*c_0110_5 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB