Magma V2.19-8 Tue Aug 20 2013 16:17:57 on localhost [Seed = 4290667322] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2193 geometric_solution 5.65038098 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2031 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 1 0 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948121351036 0.905462843199 0 4 5 2 0132 0132 0132 3012 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 0 0 0 0 0.258850193626 0.633393811694 3 0 1 5 2031 0132 1230 3120 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 -1 0 1 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 0.295665142560 0.277032189163 5 0 2 0 2310 1302 1302 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 1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448380861872 0.526800322160 6 1 5 6 0132 0132 3012 3201 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 0.986235173791 0.870736818422 2 4 3 1 3120 1230 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779754880892 0.666386082743 4 4 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.738962056833 0.340390351883 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], '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_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_0_6' : negation(d['1']), 's_0_4' : negation(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_6' : d['c_0101_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0011_3']})} 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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 243911280/16945579*c_0101_6^9 + 239110646/16945579*c_0101_6^8 + 2664770007/33891158*c_0101_6^7 - 682417038/16945579*c_0101_6^6 - 3198494815/16945579*c_0101_6^5 + 387371813/16945579*c_0101_6^4 + 6287979139/33891158*c_0101_6^3 + 2541979333/33891158*c_0101_6^2 - 146809009/16945579*c_0101_6 - 8963721/4841594, c_0011_0 - 1, c_0011_3 - 50536828/16945579*c_0101_6^9 + 109346421/33891158*c_0101_6^8 + 521466039/33891158*c_0101_6^7 - 307287683/33891158*c_0101_6^6 - 1198578231/33891158*c_0101_6^5 + 92028131/16945579*c_0101_6^4 + 1058110101/33891158*c_0101_6^3 + 540024565/33891158*c_0101_6^2 + 46715020/16945579*c_0101_6 + 8281921/16945579, c_0011_5 - 10894872/2420797*c_0101_6^9 + 12548901/2420797*c_0101_6^8 + 113032675/4841594*c_0101_6^7 - 78940447/4841594*c_0101_6^6 - 263467993/4841594*c_0101_6^5 + 77219943/4841594*c_0101_6^4 + 122402261/2420797*c_0101_6^3 + 71164201/4841594*c_0101_6^2 - 3300455/4841594*c_0101_6 + 3154195/2420797, c_0101_0 - 13049408/16945579*c_0101_6^9 + 28278228/16945579*c_0101_6^8 + 111447123/33891158*c_0101_6^7 - 123336593/16945579*c_0101_6^6 - 116146084/16945579*c_0101_6^5 + 226537172/16945579*c_0101_6^4 + 212841903/33891158*c_0101_6^3 - 265566857/33891158*c_0101_6^2 - 43434456/16945579*c_0101_6 - 3287985/33891158, c_0101_1 + 50536828/16945579*c_0101_6^9 - 109346421/33891158*c_0101_6^8 - 521466039/33891158*c_0101_6^7 + 307287683/33891158*c_0101_6^6 + 1198578231/33891158*c_0101_6^5 - 92028131/16945579*c_0101_6^4 - 1058110101/33891158*c_0101_6^3 - 540024565/33891158*c_0101_6^2 - 46715020/16945579*c_0101_6 - 8281921/16945579, c_0101_4 + 8463324/2420797*c_0101_6^9 - 17705789/4841594*c_0101_6^8 - 89835319/4841594*c_0101_6^7 + 52483295/4841594*c_0101_6^6 + 210682125/4841594*c_0101_6^5 - 20592934/2420797*c_0101_6^4 - 195760163/4841594*c_0101_6^3 - 66551811/4841594*c_0101_6^2 - 2293241/2420797*c_0101_6 - 5144515/2420797, c_0101_6^10 - 3/8*c_0101_6^9 - 6*c_0101_6^8 - 1/2*c_0101_6^7 + 29/2*c_0101_6^6 + 49/8*c_0101_6^5 - 105/8*c_0101_6^4 - 49/4*c_0101_6^3 - 25/8*c_0101_6^2 - 1/2*c_0101_6 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB