Magma V2.19-8 Wed Aug 21 2013 01:01:44 on localhost [Seed = 2530250049] Type ? for help. Type -D to quit. Loading file "L14n13311__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13311 geometric_solution 11.94287245 oriented_manifold CS_known 0.0000000000000003 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 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 0.872000857186 1.442153300116 0 5 5 4 0132 0132 1302 0213 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 1 -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 0.319879078438 0.911063715717 4 0 6 3 0213 0132 0132 3120 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 1 -2 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 0.758918185996 0.654438071742 2 7 8 0 3120 0132 0132 0132 0 1 1 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 -1 1 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419084537039 0.370386340837 2 9 0 1 0213 0132 0132 0213 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 -1 1 1 0 -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 -0.040940902158 1.010708854244 1 1 8 10 2031 0132 0321 0132 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 0 0 0 0 0 0 0 -1 0 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 0.656914523496 0.977159026962 9 7 7 2 0321 0213 2103 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 0 1 -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 0.493875490711 0.555079918404 6 3 6 11 2103 0132 0213 0132 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 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 0.896945372888 0.983703328446 12 10 5 3 0132 2310 0321 0132 0 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 0 1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660292299299 1.184031834147 6 4 12 11 0321 0132 2031 0213 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 -1 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.276110128922 0.623554951671 11 12 5 8 1302 3120 0132 3201 0 0 0 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 -1 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.208599388346 1.049304344433 12 10 7 9 2103 2031 0132 0213 0 1 1 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 1 0 0 -1 1 1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880296151331 0.759111413258 8 10 11 9 0132 3120 2103 1302 1 1 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 -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 0.581351781892 0.852070338321 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_12']), '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' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0110_10']), '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_6']), '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_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0101_5']), '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_6']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_4']})} 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_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_5, c_0110_10, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 946231772422/24005198035*c_1001_5^9 - 921795961417/3429314005*c_1001_5^8 + 7004154133297/24005198035*c_1001_5^7 - 41692535107443/24005198035*c_1001_5^6 + 3246710830453/1846553695*c_1001_5^5 - 72838151309127/24005198035*c_1001_5^4 + 749521598962/369310739*c_1001_5^3 - 32698643114187/24005198035*c_1001_5^2 + 6336072103197/24005198035*c_1001_5 - 7610995196989/24005198035, c_0011_0 - 1, c_0011_10 - 1029875/16728361*c_1001_5^9 - 6262470/16728361*c_1001_5^8 + 13619767/16728361*c_1001_5^7 - 48161228/16728361*c_1001_5^6 + 4244047/1286797*c_1001_5^5 - 50560840/16728361*c_1001_5^4 + 473227/1286797*c_1001_5^3 + 47931628/16728361*c_1001_5^2 - 37432918/16728361*c_1001_5 + 1348408/16728361, c_0011_11 + 1563564/16728361*c_1001_5^9 + 9785405/16728361*c_1001_5^8 - 18773812/16728361*c_1001_5^7 + 65236013/16728361*c_1001_5^6 - 8396653/1286797*c_1001_5^5 + 143016879/16728361*c_1001_5^4 - 12227974/1286797*c_1001_5^3 + 115761811/16728361*c_1001_5^2 - 45285068/16728361*c_1001_5 + 12993816/16728361, c_0011_12 + 1197187/16728361*c_1001_5^9 + 5014112/16728361*c_1001_5^8 - 28339373/16728361*c_1001_5^7 + 93693362/16728361*c_1001_5^6 - 14184052/1286797*c_1001_5^5 + 250830759/16728361*c_1001_5^4 - 18588265/1286797*c_1001_5^3 + 138314636/16728361*c_1001_5^2 - 32458914/16728361*c_1001_5 - 431085/16728361, c_0011_3 + 1, c_0011_4 - 547275/16728361*c_1001_5^9 - 2410138/16728361*c_1001_5^8 + 12550248/16728361*c_1001_5^7 - 38039936/16728361*c_1001_5^6 + 6438007/1286797*c_1001_5^5 - 107494682/16728361*c_1001_5^4 + 9168590/1286797*c_1001_5^3 - 61926369/16728361*c_1001_5^2 - 4648496/16728361*c_1001_5 + 19398949/16728361, c_0011_6 + 498921/16728361*c_1001_5^9 + 2462572/16728361*c_1001_5^8 - 10285871/16728361*c_1001_5^7 + 28279946/16728361*c_1001_5^6 - 4637991/1286797*c_1001_5^5 + 51256801/16728361*c_1001_5^4 - 4398375/1286797*c_1001_5^3 - 13108928/16728361*c_1001_5^2 + 16362623/16728361*c_1001_5 - 14584322/16728361, c_0101_0 - 675080/16728361*c_1001_5^9 - 3871942/16728361*c_1001_5^8 + 10996519/16728361*c_1001_5^7 - 29466629/16728361*c_1001_5^6 + 3268997/1286797*c_1001_5^5 - 58031780/16728361*c_1001_5^4 + 3706687/1286797*c_1001_5^3 - 49706547/16728361*c_1001_5^2 + 40823681/16728361*c_1001_5 - 2847812/16728361, c_0101_11 - 547275/16728361*c_1001_5^9 - 2410138/16728361*c_1001_5^8 + 12550248/16728361*c_1001_5^7 - 38039936/16728361*c_1001_5^6 + 6438007/1286797*c_1001_5^5 - 107494682/16728361*c_1001_5^4 + 9168590/1286797*c_1001_5^3 - 61926369/16728361*c_1001_5^2 + 12079865/16728361*c_1001_5 + 2670588/16728361, c_0101_5 - 873512/16728361*c_1001_5^9 - 5435673/16728361*c_1001_5^8 + 10676186/16728361*c_1001_5^7 - 39364816/16728361*c_1001_5^6 + 3511739/1286797*c_1001_5^5 - 55707770/16728361*c_1001_5^4 + 1564113/1286797*c_1001_5^3 + 24897671/16728361*c_1001_5^2 - 43241885/16728361*c_1001_5 + 20559286/16728361, c_0110_10 + 675080/16728361*c_1001_5^9 + 3871942/16728361*c_1001_5^8 - 10996519/16728361*c_1001_5^7 + 29466629/16728361*c_1001_5^6 - 3268997/1286797*c_1001_5^5 + 58031780/16728361*c_1001_5^4 - 3706687/1286797*c_1001_5^3 + 49706547/16728361*c_1001_5^2 - 40823681/16728361*c_1001_5 + 2847812/16728361, c_1001_2 - 1385026/16728361*c_1001_5^9 - 7564926/16728361*c_1001_5^8 + 23061183/16728361*c_1001_5^7 - 77420532/16728361*c_1001_5^6 + 9800673/1286797*c_1001_5^5 - 173139228/16728361*c_1001_5^4 + 12351015/1286797*c_1001_5^3 - 99916090/16728361*c_1001_5^2 + 51213296/16728361*c_1001_5 - 17719376/16728361, c_1001_5^10 + 6*c_1001_5^9 - 13*c_1001_5^8 + 50*c_1001_5^7 - 81*c_1001_5^6 + 113*c_1001_5^5 - 116*c_1001_5^4 + 76*c_1001_5^3 - 37*c_1001_5^2 + 13*c_1001_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB