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Loading file "K14n21798__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21798 geometric_solution 9.89737092 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 0 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638176959094 1.035463729363 0 5 6 3 0132 0132 0132 1302 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 2 0 -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 0.356041157078 1.159517020709 7 0 8 6 0132 0132 0132 2031 0 0 0 0 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 -1 1 0 0 0 -1 1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489532358083 0.601025005756 5 7 1 0 0132 0132 2031 0132 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 -1 1 -2 0 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 0.497185021714 0.813606506251 8 9 0 7 2310 0132 0132 0132 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489532358083 0.601025005756 3 1 7 9 0132 0132 1230 3120 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 0 0 0 0 0 0 0 0 -2 0 2 2 0 -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 0.366059852381 0.659130057921 9 2 8 1 2103 1302 3201 0132 0 0 0 0 0 1 -1 0 1 0 -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 -1 1 0 -1 0 1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546340879714 0.657907929337 2 3 4 5 0132 0132 0132 3012 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 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638176959094 1.035463729363 6 9 4 2 2310 0321 3201 0132 0 0 0 0 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 -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 0.506427689894 0.730544894632 5 4 6 8 3120 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -1 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710341372325 1.030155022772 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_1']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_9' : negation(d['c_0101_1']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), '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_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_2'], '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_7'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4*c_1001_5^3 + 181/10*c_1001_5^2 + 339/10*c_1001_5 + 221/10, c_0011_0 - 1, c_0011_4 - c_1001_5 - 1, c_0011_6 + c_1001_5^3 + 3*c_1001_5^2 + 4*c_1001_5 + 1, c_0011_8 - c_1001_5^3 - 3*c_1001_5^2 - 3*c_1001_5, c_0101_0 + c_1001_5^3 + 3*c_1001_5^2 + 4*c_1001_5 + 1, c_0101_1 - c_1001_5^2 - 3*c_1001_5 - 2, c_0101_2 + c_1001_5^3 + 4*c_1001_5^2 + 5*c_1001_5 + 1, c_0101_7 - c_1001_5^3 - 4*c_1001_5^2 - 6*c_1001_5 - 2, c_1001_2 + c_1001_5^2 + 2*c_1001_5 + 1, c_1001_5^4 + 4*c_1001_5^3 + 7*c_1001_5^2 + 4*c_1001_5 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 91907936773/5618419026*c_1001_2^12 - 340526458939/5618419026*c_1001_2^11 - 182905608293/936403171*c_1001_2^10 - 86071575805/255382683*c_1001_2^9 - 816736091841/936403171*c_1001_2^8 - 780470006189/936403171*c_1001_2^7 - 9898782425437/5618419026*c_1001_2^6 - 1055402294753/936403171*c_1001_2^5 - 140754669450/85127561*c_1001_2^4 - 512476660557/936403171*c_1001_2^3 - 62903349203/85127561*c_1001_2^2 + 161177777539/1872806342*c_1001_2 - 128334388321/2809209513, c_0011_0 - 1, c_0011_4 + 8670769/85127561*c_1001_2^12 + 37211721/85127561*c_1001_2^11 + 119609661/85127561*c_1001_2^10 + 226461962/85127561*c_1001_2^9 + 522971993/85127561*c_1001_2^8 + 624777636/85127561*c_1001_2^7 + 1003329102/85127561*c_1001_2^6 + 922695669/85127561*c_1001_2^5 + 881654155/85127561*c_1001_2^4 + 515527698/85127561*c_1001_2^3 + 258025829/85127561*c_1001_2^2 + 66781724/85127561*c_1001_2 - 65775592/85127561, c_0011_6 + 24659941/85127561*c_1001_2^12 + 101617801/85127561*c_1001_2^11 + 332982693/85127561*c_1001_2^10 + 627682613/85127561*c_1001_2^9 + 1511250689/85127561*c_1001_2^8 + 1749709804/85127561*c_1001_2^7 + 3094147733/85127561*c_1001_2^6 + 2582716909/85127561*c_1001_2^5 + 2977150975/85127561*c_1001_2^4 + 1535347949/85127561*c_1001_2^3 + 1247507587/85127561*c_1001_2^2 + 121872124/85127561*c_1001_2 + 29769250/85127561, c_0011_8 + 20928932/85127561*c_1001_2^12 + 89507815/85127561*c_1001_2^11 + 290090592/85127561*c_1001_2^10 + 553854359/85127561*c_1001_2^9 + 1297387667/85127561*c_1001_2^8 + 1571484857/85127561*c_1001_2^7 + 2581388077/85127561*c_1001_2^6 + 2348078204/85127561*c_1001_2^5 + 2452821843/85127561*c_1001_2^4 + 1370485257/85127561*c_1001_2^3 + 1034235099/85127561*c_1001_2^2 + 182270148/85127561*c_1001_2 - 18080221/85127561, c_0101_0 - 19351969/85127561*c_1001_2^12 - 68737107/85127561*c_1001_2^11 - 214363876/85127561*c_1001_2^10 - 344837595/85127561*c_1001_2^9 - 915304209/85127561*c_1001_2^8 - 754257961/85127561*c_1001_2^7 - 1716810613/85127561*c_1001_2^6 - 912515829/85127561*c_1001_2^5 - 1360836673/85127561*c_1001_2^4 - 298815954/85127561*c_1001_2^3 - 490774690/85127561*c_1001_2^2 + 207689607/85127561*c_1001_2 + 66781724/85127561, c_0101_1 + 1965011/85127561*c_1001_2^12 + 12820450/85127561*c_1001_2^11 + 39142000/85127561*c_1001_2^10 + 87995095/85127561*c_1001_2^9 + 167676410/85127561*c_1001_2^8 + 323180896/85127561*c_1001_2^7 + 324609829/85127561*c_1001_2^6 + 602706012/85127561*c_1001_2^5 + 394321211/85127561*c_1001_2^4 + 531284203/85127561*c_1001_2^3 + 283503999/85127561*c_1001_2^2 + 277293571/85127561*c_1001_2 + 38040949/85127561, c_0101_2 + 1965011/85127561*c_1001_2^12 + 12820450/85127561*c_1001_2^11 + 39142000/85127561*c_1001_2^10 + 87995095/85127561*c_1001_2^9 + 167676410/85127561*c_1001_2^8 + 323180896/85127561*c_1001_2^7 + 324609829/85127561*c_1001_2^6 + 602706012/85127561*c_1001_2^5 + 394321211/85127561*c_1001_2^4 + 531284203/85127561*c_1001_2^3 + 283503999/85127561*c_1001_2^2 + 277293571/85127561*c_1001_2 + 38040949/85127561, c_0101_7 - c_1001_2, c_1001_2^13 + 4*c_1001_2^12 + 13*c_1001_2^11 + 24*c_1001_2^10 + 59*c_1001_2^9 + 66*c_1001_2^8 + 121*c_1001_2^7 + 99*c_1001_2^6 + 118*c_1001_2^5 + 61*c_1001_2^4 + 52*c_1001_2^3 + 7*c_1001_2^2 + 1, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB