Magma V2.19-8 Tue Aug 20 2013 17:56:38 on localhost [Seed = 2564369588] Type ? for help. Type -D to quit. Loading file "9^2_7__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_7 geometric_solution 10.39437266 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 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 0.392125106179 0.363114504511 0 5 4 4 0132 0132 2310 2103 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 0 0 0 0 0 0 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 0.328100667321 0.974926795528 6 0 4 6 0132 0132 3201 2103 1 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 -1 1 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 1.054165925212 1.117786235789 7 6 7 0 0132 2103 3120 0132 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 0 0 0 0 0 0 0 0 1 -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 0.605473595651 0.981596549575 2 1 0 1 2310 3201 0132 2103 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689924723104 0.921365684942 7 1 8 8 1230 0132 0132 0321 0 1 1 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 0 0 0 0 0 0 0 0 -1 1 0 -2 0 2 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 0.643961351265 0.651124353933 2 3 9 2 0132 2103 0132 2103 1 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 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 1.054165925212 1.117786235789 3 5 3 10 0132 3012 3120 0132 1 1 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 0 0 0 1 -1 0 0 0 -1 1 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605473595651 0.981596549575 9 5 10 5 1302 0321 2103 0132 0 1 1 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 0 0 0 0 0 0 0 0 1 -1 0 0 2 -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 0.232144509802 0.776396609807 10 8 10 6 3201 2031 0213 0132 1 0 1 1 0 0 0 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 0 0 0 -3 0 2 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644979399239 0.527935346263 8 9 7 9 2103 0213 0132 2310 1 1 0 1 0 0 0 0 -1 0 0 1 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 0 0 0 -2 0 -1 3 -1 -2 0 3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644979399239 0.527935346263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), '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_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_0011_10'], '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_9'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_5'], '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' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0011_4']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 81724887/1228889*c_1001_0^9 - 931874959/1228889*c_1001_0^8 + 4706593286/1228889*c_1001_0^7 - 13704233848/1228889*c_1001_0^6 + 25137573544/1228889*c_1001_0^5 - 29760881809/1228889*c_1001_0^4 + 22238824708/1228889*c_1001_0^3 - 9607619343/1228889*c_1001_0^2 + 1841529765/1228889*c_1001_0 + 3507435/1228889, c_0011_0 - 1, c_0011_10 - 2921913/1228889*c_1001_0^9 + 26970669/1228889*c_1001_0^8 - 105334851/1228889*c_1001_0^7 + 217344607/1228889*c_1001_0^6 - 234306971/1228889*c_1001_0^5 + 81633296/1228889*c_1001_0^4 + 84805418/1228889*c_1001_0^3 - 97298414/1228889*c_1001_0^2 + 29816716/1228889*c_1001_0 - 1501492/1228889, c_0011_3 - 222264/1228889*c_1001_0^9 + 594945/1228889*c_1001_0^8 + 3718064/1228889*c_1001_0^7 - 22805145/1228889*c_1001_0^6 + 49386510/1228889*c_1001_0^5 - 49346814/1228889*c_1001_0^4 + 15512044/1228889*c_1001_0^3 + 8164884/1228889*c_1001_0^2 - 4542182/1228889*c_1001_0 - 736342/1228889, c_0011_4 + 872730/1228889*c_1001_0^9 - 8490377/1228889*c_1001_0^8 + 36141981/1228889*c_1001_0^7 - 87712812/1228889*c_1001_0^6 + 133261609/1228889*c_1001_0^5 - 130061619/1228889*c_1001_0^4 + 77483163/1228889*c_1001_0^3 - 21166994/1228889*c_1001_0^2 - 2510447/1228889*c_1001_0 + 1422546/1228889, c_0011_9 + 374598/1228889*c_1001_0^9 - 2902467/1228889*c_1001_0^8 + 5905524/1228889*c_1001_0^7 + 13098771/1228889*c_1001_0^6 - 86457446/1228889*c_1001_0^5 + 179008647/1228889*c_1001_0^4 - 185104988/1228889*c_1001_0^3 + 91748014/1228889*c_1001_0^2 - 13984038/1228889*c_1001_0 - 393327/1228889, c_0101_0 + 338706/1228889*c_1001_0^9 - 2861926/1228889*c_1001_0^8 + 11507871/1228889*c_1001_0^7 - 31142598/1228889*c_1001_0^6 + 64505889/1228889*c_1001_0^5 - 97669952/1228889*c_1001_0^4 + 94538507/1228889*c_1001_0^3 - 48565038/1228889*c_1001_0^2 + 8454217/1228889*c_1001_0 - 436598/1228889, c_0101_1 - 534024/1228889*c_1001_0^9 + 5628451/1228889*c_1001_0^8 - 24634110/1228889*c_1001_0^7 + 56570214/1228889*c_1001_0^6 - 68755720/1228889*c_1001_0^5 + 32391667/1228889*c_1001_0^4 + 17055344/1228889*c_1001_0^3 - 27398044/1228889*c_1001_0^2 + 10964664/1228889*c_1001_0 - 1859144/1228889, c_0101_5 - 2699649/1228889*c_1001_0^9 + 26375724/1228889*c_1001_0^8 - 109052915/1228889*c_1001_0^7 + 240149752/1228889*c_1001_0^6 - 283693481/1228889*c_1001_0^5 + 130980110/1228889*c_1001_0^4 + 69293374/1228889*c_1001_0^3 - 105463298/1228889*c_1001_0^2 + 34358898/1228889*c_1001_0 - 765150/1228889, c_0101_6 - 713304/1228889*c_1001_0^9 + 5764393/1228889*c_1001_0^8 - 17413395/1228889*c_1001_0^7 + 18043827/1228889*c_1001_0^6 + 21951557/1228889*c_1001_0^5 - 81338695/1228889*c_1001_0^4 + 90566481/1228889*c_1001_0^3 - 43182976/1228889*c_1001_0^2 + 5529821/1228889*c_1001_0 + 829925/1228889, c_1001_0^10 - 104/9*c_1001_0^9 + 535/9*c_1001_0^8 - 532/3*c_1001_0^7 + 1007/3*c_1001_0^6 - 414*c_1001_0^5 + 982/3*c_1001_0^4 - 1396/9*c_1001_0^3 + 335/9*c_1001_0^2 - 8/3*c_1001_0 + 1/9, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB