Magma V2.19-8 Wed Aug 21 2013 01:02:16 on localhost [Seed = 54859977] Type ? for help. Type -D to quit. Loading file "L14n14229__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14229 geometric_solution 12.49956020 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 -1 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 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 0.588808824070 0.838099547475 0 5 7 6 0132 0132 0132 0132 0 1 0 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 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 0.461510588277 0.778878775649 8 0 5 9 0132 0132 0132 0132 0 1 0 1 0 -1 0 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 -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 0.776304118251 0.653614429837 8 10 11 0 3201 0132 0132 0132 0 1 0 1 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 -1 0 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 0.415072790616 0.487243309453 12 7 0 8 0132 0132 0132 0132 0 1 0 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 1 -1 0 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008224780569 0.788698869070 9 1 12 2 3120 0132 0213 0132 0 1 1 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 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 0.485130471511 0.523287077101 8 10 1 9 1230 3201 0132 3201 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 0.420403921722 1.324660944588 12 4 10 1 3120 0132 1230 0132 0 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 -1 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 0.731457868380 0.581108540856 2 6 4 3 0132 3012 0132 2310 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 -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 0.743281500078 0.885106696286 11 6 2 5 0213 2310 0132 3120 0 1 1 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 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 0.687850411133 0.744701229255 11 3 6 7 2310 0132 2310 3012 0 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 0 0 0 0 0 0 0 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 0.447558619978 0.937330020177 9 12 10 3 0213 0213 3201 0132 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 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923364980216 1.245820529721 4 5 11 7 0132 0213 0213 3120 0 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 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 0.385129995769 0.621248828883 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_0'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : negation(d['1']), 's_3_10' : 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_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : 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' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_0']), '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' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_12'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), '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_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_11'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 305818595536658163/11014490693953600*c_1001_1^14 + 324412914167344981/629399468225920*c_1001_1^13 + 833326304664623303/234350865828800*c_1001_1^12 + 4347695357207984247/393374667641200*c_1001_1^11 + 46301636405533801997/3146997341129600*c_1001_1^10 + 100729858517108371351/22028981387907200*c_1001_1^9 - 1319872241798332207/93740346331520*c_1001_1^8 - 139999458631986239681/5507245346976800*c_1001_1^7 - 125232997093385556127/5507245346976800*c_1001_1^6 - 45180461384738273089/3146997341129600*c_1001_1^5 - 8920651364782823381/1101449069395360*c_1001_1^4 - 22070651731648674811/5507245346976800*c_1001_1^3 - 43004321851206870941/22028981387907200*c_1001_1^2 - 2292357885405953683/4405796277581440*c_1001_1 - 8190145240676374937/22028981387907200, c_0011_0 - 1, c_0011_10 - 398205/8724772*c_1001_1^14 - 619637/623198*c_1001_1^13 - 75719919/8724772*c_1001_1^12 - 12174778/311599*c_1001_1^11 - 61612529/623198*c_1001_1^10 - 1299962161/8724772*c_1001_1^9 - 1252391881/8724772*c_1001_1^8 - 399477559/4362386*c_1001_1^7 - 292924895/8724772*c_1001_1^6 - 364309/311599*c_1001_1^5 + 50015109/8724772*c_1001_1^4 + 5651137/2181193*c_1001_1^3 - 1445981/2181193*c_1001_1^2 + 834405/8724772*c_1001_1 + 1530173/8724772, c_0011_11 + 847447/17449544*c_1001_1^14 + 2632025/2492792*c_1001_1^13 + 161265101/17449544*c_1001_1^12 + 52785739/1246396*c_1001_1^11 + 283625501/2492792*c_1001_1^10 + 1752097327/8724772*c_1001_1^9 + 573048390/2181193*c_1001_1^8 + 1141976925/4362386*c_1001_1^7 + 3431729407/17449544*c_1001_1^6 + 285647097/2492792*c_1001_1^5 + 963834675/17449544*c_1001_1^4 + 207161765/8724772*c_1001_1^3 + 192868695/17449544*c_1001_1^2 + 14533821/4362386*c_1001_1 + 4078975/2181193, c_0011_12 + 94655/8724772*c_1001_1^14 + 662901/2492792*c_1001_1^13 + 44476249/17449544*c_1001_1^12 + 29536399/2492792*c_1001_1^11 + 8152056/311599*c_1001_1^10 + 322488127/17449544*c_1001_1^9 - 46505560/2181193*c_1001_1^8 - 503884135/8724772*c_1001_1^7 - 277229691/4362386*c_1001_1^6 - 118421909/2492792*c_1001_1^5 - 523637413/17449544*c_1001_1^4 - 319700531/17449544*c_1001_1^3 - 75539133/8724772*c_1001_1^2 - 68255391/17449544*c_1001_1 - 5534087/4362386, c_0011_6 - 87891/2492792*c_1001_1^14 - 1086887/1246396*c_1001_1^13 - 10876459/1246396*c_1001_1^12 - 113249521/2492792*c_1001_1^11 - 333668913/2492792*c_1001_1^10 - 595734497/2492792*c_1001_1^9 - 184018969/623198*c_1001_1^8 - 339038681/1246396*c_1001_1^7 - 474768615/2492792*c_1001_1^6 - 31924350/311599*c_1001_1^5 - 13630485/311599*c_1001_1^4 - 37736769/2492792*c_1001_1^3 - 17267625/2492792*c_1001_1^2 - 4261109/2492792*c_1001_1 - 1603173/1246396, c_0011_9 + 3796945/17449544*c_1001_1^14 + 10881391/2492792*c_1001_1^13 + 74796226/2181193*c_1001_1^12 + 338919153/2492792*c_1001_1^11 + 190390219/623198*c_1001_1^10 + 1970169615/4362386*c_1001_1^9 + 8627072205/17449544*c_1001_1^8 + 3744937601/8724772*c_1001_1^7 + 5365125845/17449544*c_1001_1^6 + 470503015/2492792*c_1001_1^5 + 857880729/8724772*c_1001_1^4 + 785464375/17449544*c_1001_1^3 + 155883075/8724772*c_1001_1^2 + 46356265/8724772*c_1001_1 + 31946561/17449544, c_0101_0 - 1362547/17449544*c_1001_1^14 - 4088303/2492792*c_1001_1^13 - 29982041/2181193*c_1001_1^12 - 148704481/2492792*c_1001_1^11 - 46676216/311599*c_1001_1^10 - 527937388/2181193*c_1001_1^9 - 4837811343/17449544*c_1001_1^8 - 534063142/2181193*c_1001_1^7 - 3131726279/17449544*c_1001_1^6 - 286910017/2492792*c_1001_1^5 - 569225827/8724772*c_1001_1^4 - 533701617/17449544*c_1001_1^3 - 91484215/8724772*c_1001_1^2 - 3073775/2181193*c_1001_1 + 4285021/17449544, c_0101_1 - 1, c_0101_10 + 607441/4362386*c_1001_1^14 + 897023/311599*c_1001_1^13 + 205877705/8724772*c_1001_1^12 + 123778327/1246396*c_1001_1^11 + 299639895/1246396*c_1001_1^10 + 3302963761/8724772*c_1001_1^9 + 3778957533/8724772*c_1001_1^8 + 838908449/2181193*c_1001_1^7 + 2408703055/8724772*c_1001_1^6 + 52473821/311599*c_1001_1^5 + 391233887/4362386*c_1001_1^4 + 382319519/8724772*c_1001_1^3 + 88825825/4362386*c_1001_1^2 + 57355331/8724772*c_1001_1 + 4844912/2181193, c_0101_2 + 633622/2181193*c_1001_1^14 + 7763937/1246396*c_1001_1^13 + 117348982/2181193*c_1001_1^12 + 304169227/1246396*c_1001_1^11 + 203171575/311599*c_1001_1^10 + 9885132191/8724772*c_1001_1^9 + 6041464665/4362386*c_1001_1^8 + 10902730837/8724772*c_1001_1^7 + 7592564415/8724772*c_1001_1^6 + 156289631/311599*c_1001_1^5 + 2249941447/8724772*c_1001_1^4 + 530001435/4362386*c_1001_1^3 + 436476141/8724772*c_1001_1^2 + 69308355/4362386*c_1001_1 + 49399199/8724772, c_0101_7 + 462463/2492792*c_1001_1^14 + 9520225/2492792*c_1001_1^13 + 77758689/2492792*c_1001_1^12 + 81816861/623198*c_1001_1^11 + 800171215/2492792*c_1001_1^10 + 644691365/1246396*c_1001_1^9 + 374651419/623198*c_1001_1^8 + 660437493/1246396*c_1001_1^7 + 910357363/2492792*c_1001_1^6 + 508688455/2492792*c_1001_1^5 + 245825563/2492792*c_1001_1^4 + 54481839/1246396*c_1001_1^3 + 43959971/2492792*c_1001_1^2 + 7038717/1246396*c_1001_1 + 848259/623198, c_1001_0 + 2163591/17449544*c_1001_1^14 + 6183755/2492792*c_1001_1^13 + 84513559/4362386*c_1001_1^12 + 188760723/2492792*c_1001_1^11 + 204365601/1246396*c_1001_1^10 + 968668815/4362386*c_1001_1^9 + 3573940901/17449544*c_1001_1^8 + 1188258923/8724772*c_1001_1^7 + 1133569525/17449544*c_1001_1^6 + 53626919/2492792*c_1001_1^5 + 12698923/4362386*c_1001_1^4 - 24383759/17449544*c_1001_1^3 - 15984651/8724772*c_1001_1^2 - 11833471/8724772*c_1001_1 - 9873081/17449544, c_1001_1^15 + 20*c_1001_1^14 + 157*c_1001_1^13 + 627*c_1001_1^12 + 1449*c_1001_1^11 + 2266*c_1001_1^10 + 2615*c_1001_1^9 + 2351*c_1001_1^8 + 1727*c_1001_1^7 + 1072*c_1001_1^6 + 575*c_1001_1^5 + 281*c_1001_1^4 + 119*c_1001_1^3 + 50*c_1001_1^2 + 13*c_1001_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB