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Loading file "K12n835__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n835 geometric_solution 10.95210212 oriented_manifold CS_known -0.0000000000000011 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -1 0 1 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 0.562857595854 0.954524436829 0 3 2 5 0132 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.620024479149 0.759365506972 6 0 7 1 0132 0132 0132 3012 0 0 0 0 0 -1 0 1 -1 0 1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 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 0.466741560412 0.980087025272 8 4 1 0 0132 3012 3012 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620024479149 0.759365506972 3 6 0 7 1230 0132 0132 0132 0 0 0 0 0 1 0 -1 1 0 0 -1 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 -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 0.466741560412 0.980087025272 9 10 1 8 0132 0132 0132 0321 0 0 0 0 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 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 0.520074123382 0.593561289258 2 4 9 10 0132 0132 3012 3012 0 0 0 0 0 -1 1 0 1 0 -1 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 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 0.518913615993 0.737624278924 9 10 4 2 2103 3012 0132 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 1 0 0 -1 -1 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518913615993 0.737624278924 3 5 9 10 0132 0321 0132 1023 0 0 0 0 0 -1 0 1 0 0 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520074123382 0.593561289258 5 6 7 8 0132 1230 2103 0132 0 0 0 0 0 1 -1 0 -1 0 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 -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 0.692309515955 0.817381971950 7 5 6 8 1230 0132 1230 1023 0 0 0 0 0 1 0 -1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616344174864 1.239503358543 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_10' : 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_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0011_7'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(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_10' : d['c_0011_7'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_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_6'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 22248/913*c_1001_1^11 + 51684/913*c_1001_1^10 - 19027/913*c_1001_1^9 - 120313/913*c_1001_1^8 + 411178/913*c_1001_1^7 + 211770/913*c_1001_1^6 - 282514/913*c_1001_1^5 + 437968/913*c_1001_1^4 + 192282/913*c_1001_1^3 - 118138/913*c_1001_1^2 + 27811/913*c_1001_1 + 8127/913, c_0011_0 - 1, c_0011_10 + 151/332*c_1001_1^11 - 349/332*c_1001_1^10 + 47/166*c_1001_1^9 + 435/166*c_1001_1^8 - 1381/166*c_1001_1^7 - 819/166*c_1001_1^6 + 583/83*c_1001_1^5 - 1139/166*c_1001_1^4 - 1507/332*c_1001_1^3 + 11/4*c_1001_1^2 + 79/83*c_1001_1 - 37/166, c_0011_3 + 26/83*c_1001_1^11 - 227/332*c_1001_1^10 + 101/332*c_1001_1^9 + 235/166*c_1001_1^8 - 911/166*c_1001_1^7 - 250/83*c_1001_1^6 + 193/166*c_1001_1^5 - 607/83*c_1001_1^4 - 127/83*c_1001_1^3 - 55/332*c_1001_1^2 - 409/332*c_1001_1 + 13/83, c_0011_7 - 39/332*c_1001_1^11 + 131/332*c_1001_1^10 - 24/83*c_1001_1^9 - 121/166*c_1001_1^8 + 471/166*c_1001_1^7 - 43/83*c_1001_1^6 - 364/83*c_1001_1^5 + 205/83*c_1001_1^4 + 55/332*c_1001_1^3 - 1093/332*c_1001_1^2 - 191/166*c_1001_1 + 4/83, c_0101_0 + 23/332*c_1001_1^11 + 93/332*c_1001_1^10 - 88/83*c_1001_1^9 + 165/166*c_1001_1^8 + 75/83*c_1001_1^7 - 1505/166*c_1001_1^6 - 145/83*c_1001_1^5 + 392/83*c_1001_1^4 - 3229/332*c_1001_1^3 - 577/332*c_1001_1^2 + 351/166*c_1001_1 - 96/83, c_0101_1 - 125/332*c_1001_1^11 + 231/332*c_1001_1^10 - 1/166*c_1001_1^9 - 331/166*c_1001_1^8 + 501/83*c_1001_1^7 + 1037/166*c_1001_1^6 - 239/166*c_1001_1^5 + 1137/166*c_1001_1^4 + 1783/332*c_1001_1^3 - 27/332*c_1001_1^2 + 177/166*c_1001_1 - 39/166, c_0101_10 + 13/83*c_1001_1^11 - 16/83*c_1001_1^10 - 19/166*c_1001_1^9 + 53/83*c_1001_1^8 - 148/83*c_1001_1^7 - 330/83*c_1001_1^6 - 385/166*c_1001_1^5 - 353/166*c_1001_1^4 - 295/83*c_1001_1^3 - 272/83*c_1001_1^2 - 11/83*c_1001_1 + 17/166, c_0101_2 - 97/332*c_1001_1^11 + 135/332*c_1001_1^10 + 61/166*c_1001_1^9 - 147/83*c_1001_1^8 + 325/83*c_1001_1^7 + 644/83*c_1001_1^6 - 171/166*c_1001_1^5 + 218/83*c_1001_1^4 + 2499/332*c_1001_1^3 + 11/332*c_1001_1^2 - 101/166*c_1001_1 + 99/166, c_0101_3 + 37/332*c_1001_1^11 - 103/332*c_1001_1^10 + 123/332*c_1001_1^9 + 87/332*c_1001_1^8 - 383/166*c_1001_1^7 + 105/166*c_1001_1^6 - 42/83*c_1001_1^5 - 452/83*c_1001_1^4 + 233/332*c_1001_1^3 - 423/332*c_1001_1^2 - 823/332*c_1001_1 + 21/332, c_0101_6 + 181/332*c_1001_1^11 - 90/83*c_1001_1^10 - 3/166*c_1001_1^9 + 1075/332*c_1001_1^8 - 1503/166*c_1001_1^7 - 751/83*c_1001_1^6 + 530/83*c_1001_1^5 - 1265/166*c_1001_1^4 - 3265/332*c_1001_1^3 + 267/166*c_1001_1^2 + 26/83*c_1001_1 - 303/332, c_1001_1^12 - 2*c_1001_1^11 + 6*c_1001_1^9 - 17*c_1001_1^8 - 16*c_1001_1^7 + 12*c_1001_1^6 - 16*c_1001_1^5 - 17*c_1001_1^4 + 6*c_1001_1^3 - 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB