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Loading file "K13n2527__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2527 geometric_solution 8.81282036 oriented_manifold CS_known 0.0000000000000003 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 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 -1 1 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 0.689907169758 0.855515924539 0 5 6 3 0132 0132 0132 2031 0 0 0 0 0 -1 0 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 1 0 -1 -1 0 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 -0.268005627282 1.136098508129 7 0 8 6 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427403563859 1.053148682258 9 1 4 0 0132 1302 2103 0132 0 0 0 0 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 -1 0 1 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 0.704841356846 0.876859895078 3 7 0 8 2103 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.172614776074 0.790135649114 9 1 7 8 2103 0132 3120 3012 0 0 0 0 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 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 0.204778400449 0.406596456049 9 8 2 1 3120 3120 2031 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 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 0.483954881834 1.040498012644 2 9 5 4 0132 2103 3120 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757556891024 0.638840871799 4 6 5 2 3201 3120 1230 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 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394099750466 0.247949381909 3 7 5 6 0132 2103 2103 3120 0 0 0 0 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 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 -0.320369069319 1.071833590807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_7'], 's_2_8' : d['1'], 's_2_9' : 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_2_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_6'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : 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' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_8'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_8']), '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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_2, c_0101_6, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 151527113/222868268*c_1001_0^11 + 1417130348/278585335*c_1001_0^10 + 3553306865/222868268*c_1001_0^9 + 34757226101/1114341340*c_1001_0^8 + 3351379713/79595810*c_1001_0^7 + 34410794497/1114341340*c_1001_0^6 + 6977109719/1114341340*c_1001_0^5 - 34329940853/1114341340*c_1001_0^4 - 7121963833/159191620*c_1001_0^3 - 1304712121/31838324*c_1001_0^2 - 23160174721/1114341340*c_1001_0 - 5605442251/557170670, c_0011_0 - 1, c_0011_3 + 201485/1137083*c_1001_0^11 + 1100500/1137083*c_1001_0^10 + 1683839/1137083*c_1001_0^9 + 280060/1137083*c_1001_0^8 - 2285931/1137083*c_1001_0^7 - 5752444/1137083*c_1001_0^6 - 1888571/1137083*c_1001_0^5 - 1636263/1137083*c_1001_0^4 + 1203769/1137083*c_1001_0^3 + 2888322/1137083*c_1001_0^2 + 2861759/1137083*c_1001_0 + 1413177/1137083, c_0011_4 - 56085/1137083*c_1001_0^11 - 515256/1137083*c_1001_0^10 - 1797701/1137083*c_1001_0^9 - 2914245/1137083*c_1001_0^8 - 1799545/1137083*c_1001_0^7 + 1763378/1137083*c_1001_0^6 + 5301888/1137083*c_1001_0^5 + 4210914/1137083*c_1001_0^4 + 1014059/1137083*c_1001_0^3 + 303664/1137083*c_1001_0^2 - 2849873/1137083*c_1001_0 - 1901993/1137083, c_0011_6 + 11592/1137083*c_1001_0^11 + 282396/1137083*c_1001_0^10 + 1530661/1137083*c_1001_0^9 + 3290704/1137083*c_1001_0^8 + 3178003/1137083*c_1001_0^7 + 343451/1137083*c_1001_0^6 - 4354472/1137083*c_1001_0^5 - 4035133/1137083*c_1001_0^4 - 2615622/1137083*c_1001_0^3 - 764233/1137083*c_1001_0^2 + 1362757/1137083*c_1001_0 + 2130277/1137083, c_0011_8 - 677405/1137083*c_1001_0^11 - 4395935/1137083*c_1001_0^10 - 9868832/1137083*c_1001_0^9 - 9477419/1137083*c_1001_0^8 - 179724/1137083*c_1001_0^7 + 17423281/1137083*c_1001_0^6 + 17109017/1137083*c_1001_0^5 + 9805693/1137083*c_1001_0^4 + 2270512/1137083*c_1001_0^3 - 5546849/1137083*c_1001_0^2 - 11166491/1137083*c_1001_0 - 4934292/1137083, c_0101_1 - 174746/1137083*c_1001_0^11 - 982332/1137083*c_1001_0^10 - 1674701/1137083*c_1001_0^9 - 776177/1137083*c_1001_0^8 + 1654328/1137083*c_1001_0^7 + 5652135/1137083*c_1001_0^6 + 3186790/1137083*c_1001_0^5 + 2312421/1137083*c_1001_0^4 - 2118525/1137083*c_1001_0^3 - 2771619/1137083*c_1001_0^2 - 3472988/1137083*c_1001_0 - 1376943/1137083, c_0101_2 + 538840/1137083*c_1001_0^11 + 3286240/1137083*c_1001_0^10 + 6703653/1137083*c_1001_0^9 + 5825513/1137083*c_1001_0^8 + 200654/1137083*c_1001_0^7 - 10424998/1137083*c_1001_0^6 - 6794814/1137083*c_1001_0^5 - 6448734/1137083*c_1001_0^4 - 787179/1137083*c_1001_0^3 + 1734058/1137083*c_1001_0^2 + 5855528/1137083*c_1001_0 + 830839/1137083, c_0101_6 + 205564/1137083*c_1001_0^11 + 1361133/1137083*c_1001_0^10 + 2989823/1137083*c_1001_0^9 + 2095604/1137083*c_1001_0^8 - 2248922/1137083*c_1001_0^7 - 8174038/1137083*c_1001_0^6 - 7163233/1137083*c_1001_0^5 - 1412812/1137083*c_1001_0^4 + 983171/1137083*c_1001_0^3 + 4113247/1137083*c_1001_0^2 + 4977364/1137083*c_1001_0 + 2195641/1137083, c_0101_7 - 498659/1137083*c_1001_0^11 - 3092508/1137083*c_1001_0^10 - 6390756/1137083*c_1001_0^9 - 5212309/1137083*c_1001_0^8 + 1314653/1137083*c_1001_0^7 + 12601415/1137083*c_1001_0^6 + 9334850/1137083*c_1001_0^5 + 5197655/1137083*c_1001_0^4 + 560194/1137083*c_1001_0^3 - 4290595/1137083*c_1001_0^2 - 7424155/1137083*c_1001_0 - 2175641/1137083, c_1001_0^12 + 7*c_1001_0^11 + 18*c_1001_0^10 + 22*c_1001_0^9 + 8*c_1001_0^8 - 26*c_1001_0^7 - 40*c_1001_0^6 - 31*c_1001_0^5 - 11*c_1001_0^4 + 7*c_1001_0^3 + 23*c_1001_0^2 + 18*c_1001_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB