Magma V2.19-8 Wed Aug 21 2013 01:02:36 on localhost [Seed = 2034197126] Type ? for help. Type -D to quit. Loading file "L14n15455__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15455 geometric_solution 12.39014398 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 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 0.509334684750 0.955824044209 0 5 7 6 0132 0132 0132 0132 0 1 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 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 0.425056907978 0.828017795789 7 0 6 8 0132 0132 0132 0132 0 1 1 1 0 1 -1 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 -1 0 1 0 0 0 0 8 0 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425056907978 0.828017795789 5 9 7 0 0213 0132 0213 0132 0 1 1 1 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 1 -1 -9 9 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364182316033 0.730070263323 6 9 0 5 0132 0321 0132 0213 0 1 1 1 0 0 -1 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 0 1 -1 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 0 0 0.656157961277 0.922060035394 3 1 10 4 0213 0132 0132 0213 0 1 1 1 0 1 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 0 0 0 0 0 -1 1 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452876856320 1.096808713636 4 11 1 2 0132 0132 0132 0132 0 1 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 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 0.509334684750 0.955824044209 2 3 10 1 0132 0213 0321 0132 0 1 1 1 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 -1 1 1 -1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487671973482 0.719944321555 12 11 2 10 0132 0321 0132 0321 0 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 0 -1 1 0 0 0 0 -1 1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.217377140224 0.839536111668 12 3 11 4 1302 0132 0321 0321 0 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 -8 0 9 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116495360637 0.820622154410 12 8 7 5 3201 0321 0321 0132 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 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 0.607636815400 0.564388923766 12 6 9 8 2103 0132 0321 0321 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 0 0 1 0 -9 8 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.289037017384 1.116294995197 8 9 11 10 0132 2031 2103 2310 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 -1 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 0.837484104469 0.427430268913 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_5'], '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'], 'c_1100_12' : d['c_0011_10'], '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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_1'], '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_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 768*c_1001_5^5 - 55521/55*c_1001_5^4 - 308391/55*c_1001_5^3 - 305523/55*c_1001_5^2 - 56821/55*c_1001_5 + 28079/55, c_0011_0 - 1, c_0011_10 - 10*c_1001_5^5 + 214/11*c_1001_5^4 + 651/11*c_1001_5^3 + 421/11*c_1001_5^2 - 20/11*c_1001_5 - 28/11, c_0011_11 - 195/11*c_1001_5^5 + 318/11*c_1001_5^4 + 1302/11*c_1001_5^3 + 1044/11*c_1001_5^2 + 58/11*c_1001_5 - 11, c_0011_3 - 90/11*c_1001_5^5 + 61/11*c_1001_5^4 + 801/11*c_1001_5^3 + 911/11*c_1001_5^2 + 193/11*c_1001_5 - 134/11, c_0101_0 - 195/11*c_1001_5^5 + 318/11*c_1001_5^4 + 1302/11*c_1001_5^3 + 1044/11*c_1001_5^2 + 58/11*c_1001_5 - 12, c_0101_1 - 5/11*c_1001_5^5 - 43/11*c_1001_5^4 + 150/11*c_1001_5^3 + 288/11*c_1001_5^2 + 115/11*c_1001_5 - 41/11, c_0101_10 + 195/11*c_1001_5^5 - 318/11*c_1001_5^4 - 1302/11*c_1001_5^3 - 1044/11*c_1001_5^2 - 58/11*c_1001_5 + 11, c_1001_0 - 1, c_1001_1 - 40/11*c_1001_5^5 + 61/11*c_1001_5^4 + 273/11*c_1001_5^3 + 248/11*c_1001_5^2 + 26/11*c_1001_5 - 3, c_1001_10 + 45/11*c_1001_5^5 - 18/11*c_1001_5^4 - 423/11*c_1001_5^3 - 536/11*c_1001_5^2 - 141/11*c_1001_5 + 74/11, c_1001_11 - 85/11*c_1001_5^5 + 79/11*c_1001_5^4 + 696/11*c_1001_5^3 + 784/11*c_1001_5^2 + 167/11*c_1001_5 - 107/11, c_1001_3 + 65/11*c_1001_5^5 - 106/11*c_1001_5^4 - 434/11*c_1001_5^3 - 348/11*c_1001_5^2 - 23/11*c_1001_5 + 3, c_1001_5^6 - 2/5*c_1001_5^5 - 42/5*c_1001_5^4 - 71/5*c_1001_5^3 - 42/5*c_1001_5^2 - 2/5*c_1001_5 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 51416899/2370210944*c_1001_3^9 - 301375809/2370210944*c_1001_3^8 + 33728907/296276368*c_1001_3^7 - 1616397715/2370210944*c_1001_3^6 + 2923309265/2370210944*c_1001_3^5 - 2312989303/1185105472*c_1001_3^4 + 482438965/296276368*c_1001_3^3 - 215631961/148138184*c_1001_3^2 + 35861660/18517273*c_1001_3 - 73470899/74069092, c_0011_0 - 1, c_0011_10 + 75537/497108*c_1001_3^9 + 1711055/1988432*c_1001_3^8 - 1913777/1988432*c_1001_3^7 + 4885731/994216*c_1001_3^6 - 20141949/1988432*c_1001_3^5 + 33033717/1988432*c_1001_3^4 - 8569127/497108*c_1001_3^3 + 2331622/124277*c_1001_3^2 - 5720331/248554*c_1001_3 + 1600458/124277, c_0011_11 - 94187/3976864*c_1001_3^9 - 512567/3976864*c_1001_3^8 + 372791/1988432*c_1001_3^7 - 3022559/3976864*c_1001_3^6 + 6588139/3976864*c_1001_3^5 - 2704065/994216*c_1001_3^4 + 1328523/497108*c_1001_3^3 - 1136741/497108*c_1001_3^2 + 954407/248554*c_1001_3 - 203666/124277, c_0011_3 - 502161/3976864*c_1001_3^9 - 2822779/3976864*c_1001_3^8 + 105640/124277*c_1001_3^7 - 15742853/3976864*c_1001_3^6 + 34705427/3976864*c_1001_3^5 - 27042617/1988432*c_1001_3^4 + 14720405/994216*c_1001_3^3 - 4064651/248554*c_1001_3^2 + 2463356/124277*c_1001_3 - 1438801/124277, c_0101_0 + 1, c_0101_1 + 14553/994216*c_1001_3^9 + 198461/1988432*c_1001_3^8 + 90993/1988432*c_1001_3^7 + 654779/994216*c_1001_3^6 - 723163/1988432*c_1001_3^5 + 3693507/1988432*c_1001_3^4 - 1053491/994216*c_1001_3^3 + 1145837/497108*c_1001_3^2 - 176612/124277*c_1001_3 + 142771/124277, c_0101_10 + 94187/3976864*c_1001_3^9 + 512567/3976864*c_1001_3^8 - 372791/1988432*c_1001_3^7 + 3022559/3976864*c_1001_3^6 - 6588139/3976864*c_1001_3^5 + 2704065/994216*c_1001_3^4 - 1328523/497108*c_1001_3^3 + 1136741/497108*c_1001_3^2 - 954407/248554*c_1001_3 + 203666/124277, c_1001_0 - 1, c_1001_1 - 1987/994216*c_1001_3^9 - 21691/994216*c_1001_3^8 - 74627/994216*c_1001_3^7 - 97189/497108*c_1001_3^6 - 252417/994216*c_1001_3^5 - 291485/994216*c_1001_3^4 - 239197/994216*c_1001_3^3 - 60445/497108*c_1001_3^2 - 80394/124277*c_1001_3 + 42009/124277, c_1001_10 - 6283/497108*c_1001_3^9 - 155079/1988432*c_1001_3^8 + 58261/1988432*c_1001_3^7 - 460401/994216*c_1001_3^6 + 1227997/1988432*c_1001_3^5 - 3110537/1988432*c_1001_3^4 + 161586/124277*c_1001_3^3 - 271348/124277*c_1001_3^2 + 257006/124277*c_1001_3 - 184780/124277, c_1001_11 - 6283/497108*c_1001_3^9 - 155079/1988432*c_1001_3^8 + 58261/1988432*c_1001_3^7 - 460401/994216*c_1001_3^6 + 1227997/1988432*c_1001_3^5 - 3110537/1988432*c_1001_3^4 + 161586/124277*c_1001_3^3 - 271348/124277*c_1001_3^2 + 257006/124277*c_1001_3 - 184780/124277, c_1001_3^10 + 5*c_1001_3^9 - 10*c_1001_3^8 + 37*c_1001_3^7 - 89*c_1001_3^6 + 156*c_1001_3^5 - 192*c_1001_3^4 + 208*c_1001_3^3 - 240*c_1001_3^2 + 192*c_1001_3 - 64, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB