Magma V2.19-8 Wed Aug 21 2013 00:48:57 on localhost [Seed = 2816586534] Type ? for help. Type -D to quit. Loading file "K14n9020__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n9020 geometric_solution 11.10788051 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 -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 1.404229281630 0.831235266592 0 2 6 5 0132 1230 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 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 0.278114341716 0.425723320424 4 0 1 7 1230 0132 3012 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 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 0.439720439949 1.346956900563 8 6 9 0 0132 1230 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716022206951 0.499314950229 10 2 0 10 0132 3012 0132 2103 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 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 0.930111094044 1.094449564974 8 10 1 9 2103 0132 0132 2031 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 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 0.314319733931 0.469832444652 9 11 3 1 2103 0132 3012 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 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 0 0.584350296965 1.825036444442 12 9 2 11 0132 1023 0132 3012 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 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487435003678 1.764115832156 3 12 5 11 0132 1302 2103 2310 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 -1 0 1 0 0 0 0 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.193371731532 0.753908064012 7 5 6 3 1023 1302 2103 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 0.999708938932 0.362478463482 4 5 12 4 0132 0132 0321 2103 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 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 0.930111094044 1.094449564974 8 6 7 12 3201 0132 1230 0321 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 -1 1 0 -2 0 0 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.223074039079 0.541706820588 7 11 10 8 0132 0321 0321 2031 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 -1 0 0 1 0 -1 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759807534208 1.107010816162 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_11' : d['c_0101_11'], '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_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_12'], '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' : negation(d['c_0011_12']), '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_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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_12']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), '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_0101_6'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 81362631457723919/1082777787940152*c_1001_3^11 + 166739919166608769/1082777787940152*c_1001_3^10 + 93074591081518645/360925929313384*c_1001_3^9 + 291803788909542229/360925929313384*c_1001_3^8 + 1465523736208782631/541388893970076*c_1001_3^7 + 693162704846269256/135347223492519*c_1001_3^6 + 3117294665929303523/541388893970076*c_1001_3^5 + 4335836211089273825/1082777787940152*c_1001_3^4 + 2811962992885441217/1082777787940152*c_1001_3^3 + 837030068364023299/360925929313384*c_1001_3^2 + 266100083868330209/1082777787940152*c_1001_3 + 58387931308050315/180462964656692, c_0011_0 - 1, c_0011_10 + 2869/7716*c_1001_3^11 + 1640/1929*c_1001_3^10 + 4073/2572*c_1001_3^9 + 10751/2572*c_1001_3^8 + 111673/7716*c_1001_3^7 + 111241/3858*c_1001_3^6 + 69722/1929*c_1001_3^5 + 194167/7716*c_1001_3^4 + 49163/3858*c_1001_3^3 + 18075/2572*c_1001_3^2 + 23809/7716*c_1001_3 - 193/2572, c_0011_11 - 1627/3858*c_1001_3^11 - 1965/2572*c_1001_3^10 - 11269/7716*c_1001_3^9 - 2683/643*c_1001_3^8 - 55963/3858*c_1001_3^7 - 33763/1286*c_1001_3^6 - 115183/3858*c_1001_3^5 - 22077/1286*c_1001_3^4 - 75919/7716*c_1001_3^3 - 33425/7716*c_1001_3^2 - 235/3858*c_1001_3 + 511/1929, c_0011_12 - 133/2572*c_1001_3^11 - 191/643*c_1001_3^10 - 1367/2572*c_1001_3^9 - 3207/2572*c_1001_3^8 - 9861/2572*c_1001_3^7 - 12941/1286*c_1001_3^6 - 10616/643*c_1001_3^5 - 43919/2572*c_1001_3^4 - 13555/1286*c_1001_3^3 - 16021/2572*c_1001_3^2 - 7159/2572*c_1001_3 - 1949/2572, c_0011_3 + 245/7716*c_1001_3^11 + 1279/3858*c_1001_3^10 + 4481/7716*c_1001_3^9 + 1543/1286*c_1001_3^8 + 7274/1929*c_1001_3^7 + 21209/1929*c_1001_3^6 + 24081/1286*c_1001_3^5 + 144865/7716*c_1001_3^4 + 13377/1286*c_1001_3^3 + 48667/7716*c_1001_3^2 + 15985/3858*c_1001_3 + 1126/1929, c_0101_0 + 3299/7716*c_1001_3^11 + 6811/7716*c_1001_3^10 + 2479/1286*c_1001_3^9 + 6463/1286*c_1001_3^8 + 31778/1929*c_1001_3^7 + 126113/3858*c_1001_3^6 + 87046/1929*c_1001_3^5 + 299795/7716*c_1001_3^4 + 212831/7716*c_1001_3^3 + 8390/643*c_1001_3^2 + 10640/1929*c_1001_3 + 1525/1286, c_0101_1 - 2171/7716*c_1001_3^11 - 2363/3858*c_1001_3^10 - 1707/1286*c_1001_3^9 - 8641/2572*c_1001_3^8 - 21617/1929*c_1001_3^7 - 86759/3858*c_1001_3^6 - 60478/1929*c_1001_3^5 - 208769/7716*c_1001_3^4 - 74233/3858*c_1001_3^3 - 5861/643*c_1001_3^2 - 29807/7716*c_1001_3 - 1255/1286, c_0101_10 - 664/1929*c_1001_3^11 - 2441/3858*c_1001_3^10 - 4865/3858*c_1001_3^9 - 2267/643*c_1001_3^8 - 23419/1929*c_1001_3^7 - 42802/1929*c_1001_3^6 - 17227/643*c_1001_3^5 - 34922/1929*c_1001_3^4 - 15003/1286*c_1001_3^3 - 23977/3858*c_1001_3^2 - 4210/1929*c_1001_3 - 680/1929, c_0101_11 - 1043/2572*c_1001_3^11 - 1820/1929*c_1001_3^10 - 13615/7716*c_1001_3^9 - 12425/2572*c_1001_3^8 - 41323/2572*c_1001_3^7 - 125497/3858*c_1001_3^6 - 81154/1929*c_1001_3^5 - 259351/7716*c_1001_3^4 - 81463/3858*c_1001_3^3 - 88445/7716*c_1001_3^2 - 9981/2572*c_1001_3 - 5513/7716, c_0101_2 - 4489/7716*c_1001_3^11 - 2168/1929*c_1001_3^10 - 2769/1286*c_1001_3^9 - 15147/2572*c_1001_3^8 - 79379/3858*c_1001_3^7 - 148429/3858*c_1001_3^6 - 86495/1929*c_1001_3^5 - 199675/7716*c_1001_3^4 - 21265/1929*c_1001_3^3 - 2935/643*c_1001_3^2 - 11281/7716*c_1001_3 + 706/643, c_0101_6 + 1343/7716*c_1001_3^11 + 211/643*c_1001_3^10 + 2819/3858*c_1001_3^9 + 5051/2572*c_1001_3^8 + 12332/1929*c_1001_3^7 + 15811/1286*c_1001_3^6 + 32015/1929*c_1001_3^5 + 36587/2572*c_1001_3^4 + 19393/1929*c_1001_3^3 + 9134/1929*c_1001_3^2 + 15377/7716*c_1001_3 + 3403/3858, c_1001_1 + 3851/7716*c_1001_3^11 + 9131/7716*c_1001_3^10 + 3950/1929*c_1001_3^9 + 7231/1286*c_1001_3^8 + 37325/1929*c_1001_3^7 + 150187/3858*c_1001_3^6 + 30125/643*c_1001_3^5 + 231199/7716*c_1001_3^4 + 31257/2572*c_1001_3^3 + 22811/3858*c_1001_3^2 + 4043/1929*c_1001_3 - 3757/3858, c_1001_3^12 + 2*c_1001_3^11 + 4*c_1001_3^10 + 11*c_1001_3^9 + 37*c_1001_3^8 + 71*c_1001_3^7 + 90*c_1001_3^6 + 69*c_1001_3^5 + 48*c_1001_3^4 + 28*c_1001_3^3 + 11*c_1001_3^2 + 3*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 16.360 Total time: 16.570 seconds, Total memory usage: 119.03MB