Magma V2.19-8 Wed Aug 21 2013 01:05:13 on localhost [Seed = 930164647] Type ? for help. Type -D to quit. Loading file "L14n25299__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25299 geometric_solution 11.83992289 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 -1 1 0 0 0 1 -1 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760554183950 0.755053525827 0 2 6 5 0132 2031 0132 0132 0 1 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 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 0.598802292069 0.500766871809 1 0 8 7 1302 0132 0132 0132 1 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 1 -1 0 0 0 0 0 0 2 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598802292069 0.500766871809 9 10 11 0 0132 0132 0132 0132 1 1 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 1 -1 2 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 0.202835211221 0.574135037265 11 7 0 5 1023 0132 0132 2103 1 1 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 -1 0 1 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424791852054 1.095662122424 9 10 1 4 2103 3201 0132 2103 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 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 -0.109382195690 1.302341204464 9 12 10 1 1023 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880681545443 0.788471909833 12 4 2 8 2310 0132 0132 0321 1 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619017126194 0.700648275142 12 7 11 2 3120 0321 1302 0132 1 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 -1 1 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 0.962810690071 1.369730072707 3 6 5 11 0132 1023 2103 0132 1 1 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 -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 0.755457965958 0.947602106502 12 3 5 6 0132 0132 2310 1302 1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.493430026878 0.572228451759 8 4 9 3 2031 1023 0132 0132 1 1 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 1 0 -1 1 0 -2 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 0.017280167390 0.821829747413 10 6 7 8 0132 0132 3201 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631318163391 1.379657145062 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : d['c_0110_4'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0011_0'], 'c_0101_12' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_0'], '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_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_8']), '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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1831537523/2509481*c_1001_2^13 + 3787295726/2509481*c_1001_2^12 - 7097905358/2509481*c_1001_2^11 - 7705263968/2509481*c_1001_2^10 + 9105500695/2509481*c_1001_2^9 - 8750710591/2509481*c_1001_2^8 + 17439786734/2509481*c_1001_2^7 - 592970906/80951*c_1001_2^6 + 8466764209/2509481*c_1001_2^5 - 2670192530/2509481*c_1001_2^4 + 4379400099/2509481*c_1001_2^3 - 5970623792/2509481*c_1001_2^2 + 3889491962/2509481*c_1001_2 - 1889482779/2509481, c_0011_0 - 1, c_0011_10 + 3263/59396*c_1001_2^13 + 2266/14849*c_1001_2^12 - 4543/29698*c_1001_2^11 - 17103/29698*c_1001_2^10 - 24323/59396*c_1001_2^9 - 16603/59396*c_1001_2^8 + 17338/14849*c_1001_2^7 + 2087/1916*c_1001_2^6 + 31755/29698*c_1001_2^5 - 15881/59396*c_1001_2^4 - 23681/29698*c_1001_2^3 + 8043/59396*c_1001_2^2 - 9067/14849*c_1001_2 + 13087/59396, c_0011_11 + 329/59396*c_1001_2^13 - 3089/14849*c_1001_2^12 - 16513/29698*c_1001_2^11 + 25143/29698*c_1001_2^10 + 110187/59396*c_1001_2^9 - 55773/59396*c_1001_2^8 - 11499/14849*c_1001_2^7 - 5463/1916*c_1001_2^6 + 26101/29698*c_1001_2^5 + 137669/59396*c_1001_2^4 - 1787/29698*c_1001_2^3 + 44061/59396*c_1001_2^2 - 582/14849*c_1001_2 + 38417/59396, c_0011_5 - 5782/14849*c_1001_2^13 - 19802/14849*c_1001_2^12 + 3199/14849*c_1001_2^11 + 48262/14849*c_1001_2^10 + 14112/14849*c_1001_2^9 - 801/14849*c_1001_2^8 - 26980/14849*c_1001_2^7 + 352/479*c_1001_2^6 + 31018/14849*c_1001_2^5 - 1284/14849*c_1001_2^4 - 35445/14849*c_1001_2^3 - 5360/14849*c_1001_2^2 + 22905/14849*c_1001_2 + 1261/14849, c_0011_8 + 13087/59396*c_1001_2^13 + 10631/14849*c_1001_2^12 - 8555/29698*c_1001_2^11 - 56891/29698*c_1001_2^10 - 21119/59396*c_1001_2^9 - 24323/59396*c_1001_2^8 + 12208/14849*c_1001_2^7 + 1815/1916*c_1001_2^6 - 369/29698*c_1001_2^5 + 102771/59396*c_1001_2^4 - 1397/29698*c_1001_2^3 - 60449/59396*c_1001_2^2 - 1261/14849*c_1001_2 + 36215/59396, c_0101_0 - 1, c_0101_1 - 12294/14849*c_1001_2^13 - 47302/14849*c_1001_2^12 - 6573/14849*c_1001_2^11 + 122921/14849*c_1001_2^10 + 81348/14849*c_1001_2^9 - 16095/14849*c_1001_2^8 - 84866/14849*c_1001_2^7 - 1262/479*c_1001_2^6 + 66399/14849*c_1001_2^5 + 37600/14849*c_1001_2^4 - 50187/14849*c_1001_2^3 - 19887/14849*c_1001_2^2 + 20781/14849*c_1001_2 - 4638/14849, c_0101_11 + 3168/14849*c_1001_2^13 + 15385/14849*c_1001_2^12 + 17195/14849*c_1001_2^11 - 18261/14849*c_1001_2^10 - 50769/14849*c_1001_2^9 - 37508/14849*c_1001_2^8 + 17325/14849*c_1001_2^7 + 591/479*c_1001_2^6 - 4370/14849*c_1001_2^5 - 28147/14849*c_1001_2^4 - 17309/14849*c_1001_2^3 + 15495/14849*c_1001_2^2 - 572/14849*c_1001_2 - 6762/14849, c_0101_7 + 5532/14849*c_1001_2^13 + 30184/14849*c_1001_2^12 + 35482/14849*c_1001_2^11 - 51630/14849*c_1001_2^10 - 106371/14849*c_1001_2^9 - 34674/14849*c_1001_2^8 + 13548/14849*c_1001_2^7 + 2039/479*c_1001_2^6 - 14268/14849*c_1001_2^5 - 62256/14849*c_1001_2^4 + 15278/14849*c_1001_2^3 + 9340/14849*c_1001_2^2 + 1476/14849*c_1001_2 - 2696/14849, c_0110_4 - 6762/14849*c_1001_2^13 - 17118/14849*c_1001_2^12 + 28909/14849*c_1001_2^11 + 71291/14849*c_1001_2^10 - 25023/14849*c_1001_2^9 - 50769/14849*c_1001_2^8 - 71318/14849*c_1001_2^7 + 777/479*c_1001_2^6 + 52131/14849*c_1001_2^5 - 24656/14849*c_1001_2^4 - 34909/14849*c_1001_2^3 - 10547/14849*c_1001_2^2 + 22257/14849*c_1001_2 - 7334/14849, c_0110_5 + 1470/14849*c_1001_2^13 + 10823/14849*c_1001_2^12 + 20831/14849*c_1001_2^11 - 12270/14849*c_1001_2^10 - 67514/14849*c_1001_2^9 - 43840/14849*c_1001_2^8 + 21960/14849*c_1001_2^7 + 1997/479*c_1001_2^6 + 20302/14849*c_1001_2^5 - 24338/14849*c_1001_2^4 - 15653/14849*c_1001_2^3 + 30054/14849*c_1001_2^2 + 15821/14849*c_1001_2 - 9381/14849, c_1001_0 + 10420/14849*c_1001_2^13 + 31161/14849*c_1001_2^12 - 24569/14849*c_1001_2^11 - 93642/14849*c_1001_2^10 + 16095/14849*c_1001_2^9 + 23396/14849*c_1001_2^8 + 51416/14849*c_1001_2^7 - 159/479*c_1001_2^6 - 74482/14849*c_1001_2^5 + 37893/14849*c_1001_2^4 + 32181/14849*c_1001_2^3 - 8487/14849*c_1001_2^2 - 7656/14849*c_1001_2 + 12294/14849, c_1001_2^14 + 3*c_1001_2^13 - 2*c_1001_2^12 - 8*c_1001_2^11 + c_1001_2^10 + 5*c_1001_2^8 - c_1001_2^7 - 5*c_1001_2^6 + 3*c_1001_2^5 + c_1001_2^4 - c_1001_2^3 - c_1001_2^2 + c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB