Magma V2.19-8 Wed Aug 21 2013 00:15:05 on localhost [Seed = 442267360] Type ? for help. Type -D to quit. Loading file "K13n4514__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4514 geometric_solution 11.54692485 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699596548539 0.725468287817 0 4 6 5 0132 1302 0132 0132 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 -2 0 2 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319793638203 0.501109980444 7 0 3 5 0132 0132 2103 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466276376045 0.558629825294 2 8 9 0 2103 0132 0132 0132 0 0 0 0 0 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 1 -2 1 1 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 0.690057937526 0.615593278192 9 10 0 1 0132 0132 0132 2031 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 1 -1 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 0 0.344301591097 0.773724642589 2 11 1 12 3120 0132 0132 0132 0 0 0 0 0 0 -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 -2 2 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 0 0.849659258716 0.970044405602 7 9 11 1 3120 1230 0132 0132 0 0 0 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 1 -1 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 1.794848785224 0.825254534583 2 10 8 6 0132 1230 0132 3120 0 0 0 0 0 1 -1 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 1 -1 0 -1 0 1 0 -1 -1 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349015430196 1.420412305798 12 3 11 7 0132 0132 2103 0132 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 -1 0 1 0 0 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 0.530161326981 0.435335569018 4 12 6 3 0132 0321 3012 0132 0 0 0 0 0 -1 0 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 -2 0 2 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631608159781 1.439066262786 11 4 7 12 2031 0132 3012 2031 0 0 0 0 0 0 0 0 1 0 -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 -1 1 0 1 0 -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 0.245165183385 0.522553896217 8 5 10 6 2103 0132 1302 0132 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 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 0.451021315781 0.344679155853 8 10 5 9 0132 1302 0132 0321 0 0 0 0 0 0 -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 -2 2 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 0 0.782681937228 0.431345600278 ==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_0110_10'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : 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' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_6']), '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_1100_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_12'], '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_0101_12'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_6'])})} 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_0101_0, c_0101_1, c_0101_12, c_0101_6, c_0101_9, c_0110_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 358231110210854608308576/1637686660805575038853*c_1001_5^18 + 1884061861226702404974424/8188433304027875194265*c_1001_5^17 - 3290501695314069098239756/8188433304027875194265*c_1001_5^16 + 8211300034724711318011/38085736297804070671*c_1001_5^15 - 5825495425257278145383078/8188433304027875194265*c_1001_5^14 + 8833989120690684405717514/8188433304027875194265*c_1001_5^13 + 12706397628876872115108331/8188433304027875194265*c_1001_5^12 + 2344386516617687690505486/1637686660805575038853*c_1001_5^11 + 2443075143987993710282978/1637686660805575038853*c_1001_5^10 + 5490607790251622522172112/8188433304027875194265*c_1001_5^9 - 3637143979397034608504398/8188433304027875194265*c_1001_5^8 - 18634389325697348268427812/8188433304027875194265*c_1001_5^7 - 31295779227300232693079426/8188433304027875194265*c_1001_5^6 - 28034819836557280655270083/8188433304027875194265*c_1001_5^5 - 43812665063537418409834758/8188433304027875194265*c_1001_5^4 - 12464426798162925569953388/8188433304027875194265*c_1001_5^3 - 5170649384086849223132217/1637686660805575038853*c_1001_5^2 - 103446603816787831538604/8188433304027875194265*c_1001_5 - 3913997301949156513405181/8188433304027875194265, c_0011_0 - 1, c_0011_10 - 721592/319343*c_1001_5^18 + 58093/319343*c_1001_5^17 - 1910772/319343*c_1001_5^16 - 1018591/319343*c_1001_5^15 - 4871749/319343*c_1001_5^14 - 2111729/319343*c_1001_5^13 - 837410/319343*c_1001_5^12 + 2325878/319343*c_1001_5^11 + 7144434/319343*c_1001_5^10 + 10281701/319343*c_1001_5^9 + 13490870/319343*c_1001_5^8 + 13354875/319343*c_1001_5^7 + 10575074/319343*c_1001_5^6 + 9054925/319343*c_1001_5^5 - 132640/319343*c_1001_5^4 + 4052313/319343*c_1001_5^3 - 4596071/319343*c_1001_5^2 + 1010591/319343*c_1001_5 - 1691108/319343, c_0011_11 - 923086/319343*c_1001_5^18 - 34519/319343*c_1001_5^17 - 2530317/319343*c_1001_5^16 - 2190724/319343*c_1001_5^15 - 6916803/319343*c_1001_5^14 - 4889594/319343*c_1001_5^13 - 3695503/319343*c_1001_5^12 - 1633705/319343*c_1001_5^11 + 5863195/319343*c_1001_5^10 + 14149621/319343*c_1001_5^9 + 21911293/319343*c_1001_5^8 + 26103866/319343*c_1001_5^7 + 27161339/319343*c_1001_5^6 + 28730182/319343*c_1001_5^5 + 17090238/319343*c_1001_5^4 + 18171993/319343*c_1001_5^3 + 5074267/319343*c_1001_5^2 + 5438409/319343*c_1001_5 + 1258689/319343, c_0011_12 + 185848/319343*c_1001_5^18 - 440270/319343*c_1001_5^17 + 452578/319343*c_1001_5^16 - 482303/319343*c_1001_5^15 + 525684/319343*c_1001_5^14 - 1725157/319343*c_1001_5^13 - 787956/319343*c_1001_5^12 + 839103/319343*c_1001_5^11 + 665991/319343*c_1001_5^10 + 933554/319343*c_1001_5^9 + 1398345/319343*c_1001_5^8 + 2218011/319343*c_1001_5^7 + 1781565/319343*c_1001_5^6 - 515786/319343*c_1001_5^5 + 1276434/319343*c_1001_5^4 - 3273495/319343*c_1001_5^3 + 851628/319343*c_1001_5^2 - 1942295/319343*c_1001_5 - 31008/319343, c_0011_6 - 206952/319343*c_1001_5^18 - 371168/319343*c_1001_5^17 - 678770/319343*c_1001_5^16 - 1181451/319343*c_1001_5^15 - 2372481/319343*c_1001_5^14 - 3286305/319343*c_1001_5^13 - 2298842/319343*c_1001_5^12 + 262513/319343*c_1001_5^11 + 3221048/319343*c_1001_5^10 + 6468825/319343*c_1001_5^9 + 10054120/319343*c_1001_5^8 + 12242527/319343*c_1001_5^7 + 12227738/319343*c_1001_5^6 + 10258844/319343*c_1001_5^5 + 7111997/319343*c_1001_5^4 + 3934868/319343*c_1001_5^3 + 1501854/319343*c_1001_5^2 + 328792/319343*c_1001_5 - 308334/319343, c_0101_0 + 378666/319343*c_1001_5^18 + 223398/319343*c_1001_5^17 + 618148/319343*c_1001_5^16 + 1095465/319343*c_1001_5^15 + 2253055/319343*c_1001_5^14 + 2050673/319343*c_1001_5^13 - 934432/319343*c_1001_5^12 - 2242945/319343*c_1001_5^11 - 3612580/319343*c_1001_5^10 - 5640642/319343*c_1001_5^9 - 7169829/319343*c_1001_5^8 - 6777369/319343*c_1001_5^7 - 4225757/319343*c_1001_5^6 - 3348815/319343*c_1001_5^5 - 682998/319343*c_1001_5^4 - 406434/319343*c_1001_5^3 - 285363/319343*c_1001_5^2 + 603741/319343*c_1001_5 - 680448/319343, c_0101_1 - 210463/319343*c_1001_5^18 - 318075/319343*c_1001_5^17 - 490028/319343*c_1001_5^16 - 1104128/319343*c_1001_5^15 - 1916278/319343*c_1001_5^14 - 2737022/319343*c_1001_5^13 - 1129264/319343*c_1001_5^12 + 483070/319343*c_1001_5^11 + 2468220/319343*c_1001_5^10 + 5094943/319343*c_1001_5^9 + 7710746/319343*c_1001_5^8 + 9413709/319343*c_1001_5^7 + 9194003/319343*c_1001_5^6 + 7990721/319343*c_1001_5^5 + 5856826/319343*c_1001_5^4 + 3389189/319343*c_1001_5^3 + 2705038/319343*c_1001_5^2 + 168446/319343*c_1001_5 + 710875/319343, c_0101_12 + 578120/319343*c_1001_5^18 + 748425/319343*c_1001_5^17 + 1446317/319343*c_1001_5^16 + 2856345/319343*c_1001_5^15 + 5262712/319343*c_1001_5^14 + 7105131/319343*c_1001_5^13 + 3426092/319343*c_1001_5^12 - 438182/319343*c_1001_5^11 - 6266250/319343*c_1001_5^10 - 13791498/319343*c_1001_5^9 - 21085184/319343*c_1001_5^8 - 25925937/319343*c_1001_5^7 - 25332017/319343*c_1001_5^6 - 23225995/319343*c_1001_5^5 - 16600506/319343*c_1001_5^4 - 10676431/319343*c_1001_5^3 - 6881233/319343*c_1001_5^2 - 1297830/319343*c_1001_5 - 1720115/319343, c_0101_6 + 175944/319343*c_1001_5^18 + 557016/319343*c_1001_5^17 + 145476/319343*c_1001_5^16 + 1572013/319343*c_1001_5^15 + 1642114/319343*c_1001_5^14 + 3656949/319343*c_1001_5^13 + 418645/319343*c_1001_5^12 - 1081477/319343*c_1001_5^11 - 2164889/319343*c_1001_5^10 - 5337714/319343*c_1001_5^9 - 8376374/319343*c_1001_5^8 - 9944950/319343*c_1001_5^7 - 9079487/319343*c_1001_5^6 - 7516031/319343*c_1001_5^5 - 7069639/319343*c_1001_5^4 - 2007266/319343*c_1001_5^3 - 4651317/319343*c_1001_5^2 + 770900/319343*c_1001_5 - 1633961/319343, c_0101_9 + 35563/319343*c_1001_5^18 + 300552/319343*c_1001_5^17 + 173917/319343*c_1001_5^16 + 758026/319343*c_1001_5^15 + 1014681/319343*c_1001_5^14 + 2154741/319343*c_1001_5^13 + 1592919/319343*c_1001_5^12 + 235947/319343*c_1001_5^11 - 996485/319343*c_1001_5^10 - 3396201/319343*c_1001_5^9 - 5741880/319343*c_1001_5^8 - 7507816/319343*c_1001_5^7 - 7315885/319343*c_1001_5^6 - 6508374/319343*c_1001_5^5 - 5410037/319343*c_1001_5^4 - 2136673/319343*c_1001_5^3 - 1896339/319343*c_1001_5^2 + 234265/319343*c_1001_5 - 73236/319343, c_0110_10 - 748604/319343*c_1001_5^18 - 311918/319343*c_1001_5^17 - 2150169/319343*c_1001_5^16 - 2256538/319343*c_1001_5^15 - 6302520/319343*c_1001_5^14 - 5631347/319343*c_1001_5^13 - 4174720/319343*c_1001_5^12 - 640249/319343*c_1001_5^11 + 6142125/319343*c_1001_5^10 + 13704755/319343*c_1001_5^9 + 21476444/319343*c_1001_5^8 + 26352811/319343*c_1001_5^7 + 26738049/319343*c_1001_5^6 + 26407790/319343*c_1001_5^5 + 16438169/319343*c_1001_5^4 + 14862688/319343*c_1001_5^3 + 4712693/319343*c_1001_5^2 + 3937518/319343*c_1001_5 + 514640/319343, c_1001_3 + 710875/319343*c_1001_5^18 - 210463/319343*c_1001_5^17 + 1814550/319343*c_1001_5^16 + 931722/319343*c_1001_5^15 + 4582872/319343*c_1001_5^14 + 1638097/319343*c_1001_5^13 + 817353/319343*c_1001_5^12 - 418389/319343*c_1001_5^11 - 4493055/319343*c_1001_5^10 - 8194905/319343*c_1001_5^9 - 11966057/319343*c_1001_5^8 - 12904629/319343*c_1001_5^7 - 11912541/319343*c_1001_5^6 - 12843122/319343*c_1001_5^5 - 4805029/319343*c_1001_5^4 - 9071549/319343*c_1001_5^3 + 545689/319343*c_1001_5^2 - 2981962/319343*c_1001_5 + 168446/319343, c_1001_5^19 + 3*c_1001_5^17 + 2*c_1001_5^16 + 8*c_1001_5^15 + 5*c_1001_5^14 + 5*c_1001_5^13 + c_1001_5^12 - 7*c_1001_5^11 - 15*c_1001_5^10 - 24*c_1001_5^9 - 29*c_1001_5^8 - 30*c_1001_5^7 - 31*c_1001_5^6 - 18*c_1001_5^5 - 21*c_1001_5^4 - 4*c_1001_5^3 - 8*c_1001_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.790 Total time: 7.000 seconds, Total memory usage: 64.12MB