Magma V2.19-8 Tue Aug 20 2013 23:39:00 on localhost [Seed = 3220823000] Type ? for help. Type -D to quit. Loading file "K12n519__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n519 geometric_solution 10.59468665 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 -1 -3 1 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603158383351 0.793060791788 0 5 7 6 0132 0132 0132 0132 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 -2 2 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812849046806 1.044246741108 4 0 7 3 0321 0132 3201 1230 0 0 0 0 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 0 0 0 0 1 0 -1 -2 0 0 2 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504612334997 1.008433191353 2 8 9 0 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 -2 0 0 2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719880926691 0.528991843257 2 5 0 10 0321 1302 0132 0132 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 0 -1 1 -1 0 1 0 -2 2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790058965638 0.671818831811 10 1 9 4 0213 0132 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435033011360 0.814180953905 7 8 1 9 1302 1023 0132 0132 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 0 0 -3 3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689502299961 0.451045241607 2 6 10 1 2310 2031 0132 0132 0 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 -1 -2 0 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 0 0 0.535826444483 0.596312100706 6 3 9 10 1023 0132 1302 2031 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 0 0 0 0 0 0 0 -3 3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913094243710 0.821414136204 8 5 6 3 2031 1230 0132 0132 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913094243710 0.821414136204 5 8 4 7 0213 1302 0132 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 -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 0.575276915150 0.829038717224 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_9'], 'c_1001_10' : d['c_0110_8'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_4' : 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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_0011_9, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1669030459438/292193116213*c_1100_0^7 - 15692927215079/1460965581065*c_1100_0^6 + 23083278891513/1460965581065*c_1100_0^5 + 97304707390501/1460965581065*c_1100_0^4 + 14931165940526/1460965581065*c_1100_0^3 - 122180278665348/1460965581065*c_1100_0^2 - 176709335758288/1460965581065*c_1100_0 - 163836251699184/1460965581065, c_0011_0 - 1, c_0011_10 - 2596930/438070639*c_1100_0^7 + 13746128/438070639*c_1100_0^6 - 10588620/438070639*c_1100_0^5 - 59565458/438070639*c_1100_0^4 + 157403935/438070639*c_1100_0^3 + 159632300/438070639*c_1100_0^2 - 241977477/438070639*c_1100_0 - 186145267/438070639, c_0011_3 - 41867580/438070639*c_1100_0^7 + 39203763/438070639*c_1100_0^6 - 60621817/438070639*c_1100_0^5 - 682362715/438070639*c_1100_0^4 - 451871988/438070639*c_1100_0^3 - 5970724/438070639*c_1100_0^2 + 163051484/438070639*c_1100_0 + 126423153/438070639, c_0011_7 - 4106135/438070639*c_1100_0^7 + 32176466/438070639*c_1100_0^6 - 83304747/438070639*c_1100_0^5 + 131051852/438070639*c_1100_0^4 + 81749123/438070639*c_1100_0^3 + 1634516/438070639*c_1100_0^2 + 281115917/438070639*c_1100_0 - 10272521/438070639, c_0011_9 + 23771515/438070639*c_1100_0^7 + 2712256/438070639*c_1100_0^6 + 52467345/438070639*c_1100_0^5 + 305203082/438070639*c_1100_0^4 + 942278732/438070639*c_1100_0^3 + 395108315/438070639*c_1100_0^2 + 161592597/438070639*c_1100_0 - 77796670/438070639, c_0101_1 - 3653745/438070639*c_1100_0^7 + 28154027/438070639*c_1100_0^6 + 1456655/438070639*c_1100_0^5 - 25672271/438070639*c_1100_0^4 + 376028679/438070639*c_1100_0^3 + 698688254/438070639*c_1100_0^2 + 489964525/438070639*c_1100_0 + 285901216/438070639, c_0101_3 - 88293685/438070639*c_1100_0^7 + 114606431/438070639*c_1100_0^6 - 289309783/438070639*c_1100_0^5 - 1076949455/438070639*c_1100_0^4 - 1116274409/438070639*c_1100_0^3 - 707360670/438070639*c_1100_0^2 - 477771001/438070639*c_1100_0 - 53599952/438070639, c_0101_7 - 6703065/438070639*c_1100_0^7 + 45922594/438070639*c_1100_0^6 - 93893367/438070639*c_1100_0^5 + 71486394/438070639*c_1100_0^4 + 239153058/438070639*c_1100_0^3 + 161266816/438070639*c_1100_0^2 + 39138440/438070639*c_1100_0 + 241652851/438070639, c_0101_9 - 15951525/438070639*c_1100_0^7 + 32192330/438070639*c_1100_0^6 - 82327254/438070639*c_1100_0^5 - 160870052/438070639*c_1100_0^4 + 38723253/438070639*c_1100_0^3 - 467548447/438070639*c_1100_0^2 - 80297689/438070639*c_1100_0 - 61401987/438070639, c_0110_8 + 705350/6170009*c_1100_0^7 - 1458545/6170009*c_1100_0^6 + 3200441/6170009*c_1100_0^5 + 5919141/6170009*c_1100_0^4 + 4061602/6170009*c_1100_0^3 + 38052/6170009*c_1100_0^2 - 4045249/6170009*c_1100_0 - 1491241/6170009, c_1100_0^8 - 3/5*c_1100_0^7 + 13/5*c_1100_0^6 + 72/5*c_1100_0^5 + 109/5*c_1100_0^4 + 106/5*c_1100_0^3 + 78/5*c_1100_0^2 + 6*c_1100_0 + 29/5 ], 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_0011_9, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1314487/31150*c_1100_0^9 - 5545681/31150*c_1100_0^8 + 177969/2225*c_1100_0^7 + 5730457/15575*c_1100_0^6 - 678357/15575*c_1100_0^5 - 9178296/15575*c_1100_0^4 - 15166/445*c_1100_0^3 + 2165741/4450*c_1100_0^2 - 486237/3115*c_1100_0 - 2279159/15575, c_0011_0 - 1, c_0011_10 - 106/89*c_1100_0^9 + 438/89*c_1100_0^8 - 184/89*c_1100_0^7 - 881/89*c_1100_0^6 + 96/89*c_1100_0^5 + 1295/89*c_1100_0^4 + 80/89*c_1100_0^3 - 1012/89*c_1100_0^2 + 463/89*c_1100_0 + 205/89, c_0011_3 - c_1100_0, c_0011_7 + 26/89*c_1100_0^9 - 94/89*c_1100_0^8 - 17/89*c_1100_0^7 + 248/89*c_1100_0^6 + 94/89*c_1100_0^5 - 321/89*c_1100_0^4 - 159/89*c_1100_0^3 + 218/89*c_1100_0^2 - 38/89*c_1100_0 - 57/89, c_0011_9 + 43/89*c_1100_0^9 - 176/89*c_1100_0^8 + 78/89*c_1100_0^7 + 328/89*c_1100_0^6 - 2/89*c_1100_0^5 - 548/89*c_1100_0^4 - 61/89*c_1100_0^3 + 429/89*c_1100_0^2 - 56/89*c_1100_0 - 84/89, c_0101_1 - 41/89*c_1100_0^9 + 203/89*c_1100_0^8 - 182/89*c_1100_0^7 - 350/89*c_1100_0^6 + 242/89*c_1100_0^5 + 626/89*c_1100_0^4 - 184/89*c_1100_0^3 - 556/89*c_1100_0^2 + 279/89*c_1100_0 + 107/89, c_0101_3 - 47/89*c_1100_0^9 + 211/89*c_1100_0^8 - 137/89*c_1100_0^7 - 373/89*c_1100_0^6 + 56/89*c_1100_0^5 + 659/89*c_1100_0^4 + 17/89*c_1100_0^3 - 442/89*c_1100_0^2 + 233/89*c_1100_0 + 127/89, c_0101_7 - 1, c_0101_9 - 43/89*c_1100_0^9 + 176/89*c_1100_0^8 - 78/89*c_1100_0^7 - 328/89*c_1100_0^6 + 2/89*c_1100_0^5 + 548/89*c_1100_0^4 + 61/89*c_1100_0^3 - 429/89*c_1100_0^2 + 56/89*c_1100_0 + 84/89, c_0110_8 - 57/89*c_1100_0^9 + 254/89*c_1100_0^8 - 151/89*c_1100_0^7 - 530/89*c_1100_0^6 + 191/89*c_1100_0^5 + 892/89*c_1100_0^4 - 93/89*c_1100_0^3 - 786/89*c_1100_0^2 + 275/89*c_1100_0 + 190/89, c_1100_0^10 - 4*c_1100_0^9 + c_1100_0^8 + 9*c_1100_0^7 + c_1100_0^6 - 14*c_1100_0^5 - 4*c_1100_0^4 + 11*c_1100_0^3 - c_1100_0^2 - 4*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.670 seconds, Total memory usage: 32.09MB