Magma V2.19-8 Tue Aug 20 2013 23:44:03 on localhost [Seed = 896749790] Type ? for help. Type -D to quit. Loading file "L14n15788__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15788 geometric_solution 10.17500443 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 2031 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 1 0 -1 0 0 -9 0 9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636879742852 0.567373502253 0 2 5 4 0132 0213 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 -1 0 -9 10 1 0 0 -1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129198806007 0.925845882030 6 0 1 0 0132 0132 0213 1302 1 1 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 1 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572215124294 0.262889415711 7 5 0 6 0132 0132 0132 1302 1 1 1 1 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707125472081 0.445730874108 6 6 1 8 3012 0132 0132 0132 1 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 0 0 0 0 -10 10 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721391293670 0.854585973759 9 3 10 1 0132 0132 0132 0132 1 1 1 1 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 0 -9 9 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175552993044 0.612173961500 2 4 3 4 0132 0132 2031 1230 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 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 0.423220382963 0.683273800218 3 9 8 9 0132 0321 2310 0132 0 1 1 1 0 -1 -1 2 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 1 -1 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856222980737 0.888977879296 10 7 4 10 1230 3201 0132 0132 1 1 0 1 0 0 0 0 -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 10 0 -10 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 0.274493541079 1.194406990781 5 10 7 7 0132 3012 0132 0321 0 1 1 1 0 1 -2 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 -1 1 0 0 0 0 0 0 9 0 -9 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177293789422 1.096213134341 9 8 8 5 1230 3012 0132 0132 1 1 1 0 0 0 0 0 1 0 0 -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 -9 0 0 9 10 -10 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274493541079 1.194406990781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_8']), '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_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_7' : 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' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_8, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_0101_8, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 50304876555/530220482176*c_1100_1^9 - 13195959439/530220482176*c_1100_1^8 + 8648562667/48201862016*c_1100_1^7 + 617010178151/265110241088*c_1100_1^6 + 15310046261/4455634304*c_1100_1^5 + 919675181017/530220482176*c_1100_1^4 + 233198274033/265110241088*c_1100_1^3 - 783579558429/530220482176*c_1100_1^2 + 1011932707539/530220482176*c_1100_1 + 193818828617/530220482176, c_0011_0 - 1, c_0011_10 + 8083/104612*c_1100_1^9 + 787/26153*c_1100_1^8 + 3929/26153*c_1100_1^7 + 100961/52306*c_1100_1^6 + 214915/52306*c_1100_1^5 + 184559/52306*c_1100_1^4 + 46393/52306*c_1100_1^3 - 45911/26153*c_1100_1^2 + 8933/26153*c_1100_1 - 75259/104612, c_0011_3 + 307437/418448*c_1100_1^9 - 32599/418448*c_1100_1^8 + 648495/418448*c_1100_1^7 + 954389/52306*c_1100_1^6 + 12454167/418448*c_1100_1^5 + 9296299/418448*c_1100_1^4 + 450852/26153*c_1100_1^3 - 2247669/418448*c_1100_1^2 + 4942261/418448*c_1100_1 - 701119/418448, c_0011_8 - 1, c_0101_0 - 12193/209224*c_1100_1^9 + 2359/52306*c_1100_1^8 - 25037/209224*c_1100_1^7 - 284647/209224*c_1100_1^6 - 139793/104612*c_1100_1^5 - 15571/209224*c_1100_1^4 + 81227/209224*c_1100_1^3 + 130427/52306*c_1100_1^2 - 157183/209224*c_1100_1 + 45903/104612, c_0101_1 - 59787/836896*c_1100_1^9 + 16173/836896*c_1100_1^8 - 123697/836896*c_1100_1^7 - 361335/209224*c_1100_1^6 - 2197877/836896*c_1100_1^5 - 1336525/836896*c_1100_1^4 - 108947/209224*c_1100_1^3 + 732439/836896*c_1100_1^2 - 1867259/836896*c_1100_1 - 72387/836896, c_0101_6 - 193467/836896*c_1100_1^9 - 72387/836896*c_1100_1^8 - 446721/836896*c_1100_1^7 - 1241319/209224*c_1100_1^6 - 10252453/836896*c_1100_1^5 - 10748925/836896*c_1100_1^4 - 2144267/209224*c_1100_1^3 - 1115449/836896*c_1100_1^2 - 2492843/836896*c_1100_1 - 280979/836896, c_0101_7 + 412269/418448*c_1100_1^9 - 38745/418448*c_1100_1^8 + 852491/418448*c_1100_1^7 + 5114439/209224*c_1100_1^6 + 16823157/418448*c_1100_1^5 + 12201547/418448*c_1100_1^4 + 4338897/209224*c_1100_1^3 - 3528363/418448*c_1100_1^2 + 6996841/418448*c_1100_1 - 562013/418448, c_0101_8 + 674661/836896*c_1100_1^9 - 81371/836896*c_1100_1^8 + 1420687/836896*c_1100_1^7 + 4178891/209224*c_1100_1^6 + 27106211/836896*c_1100_1^5 + 19929123/836896*c_1100_1^4 + 3715763/209224*c_1100_1^3 - 5227777/836896*c_1100_1^2 + 12588677/836896*c_1100_1 - 1329851/836896, c_1001_1 + 6552/26153*c_1100_1^9 - 3073/209224*c_1100_1^8 + 50999/104612*c_1100_1^7 + 1296883/209224*c_1100_1^6 + 2184495/209224*c_1100_1^5 + 181578/26153*c_1100_1^4 + 732081/209224*c_1100_1^3 - 640347/209224*c_1100_1^2 + 409033/104612*c_1100_1 + 69553/209224, c_1100_1^10 + 2*c_1100_1^8 + 25*c_1100_1^7 + 43*c_1100_1^6 + 32*c_1100_1^5 + 21*c_1100_1^4 - 9*c_1100_1^3 + 14*c_1100_1^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB