Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 997893906] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0049 geometric_solution 3.61503109 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4.132121118511 1.843782251536 0 0 3 3 0132 3201 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341809099410 0.233688875983 0 0 4 4 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114588044295 0.028005214419 1 5 1 6 2310 0132 0132 0132 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 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 0.982268044633 0.521475955261 2 4 2 4 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.140216795281 2.031629228214 6 3 6 6 3120 0132 3012 1230 0 0 0 0 0 -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 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985369001029 1.009296723856 5 5 3 5 3012 1230 0132 3120 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985369001029 1.009296723856 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 59176605657852584877174/833791957434231776141*c_0101_4^18 - 407421363319223043338019/833791957434231776141*c_0101_4^17 - 181306716985590862159078/833791957434231776141*c_0101_4^16 - 1686782805654184588349351/833791957434231776141*c_0101_4^15 - 7637778335678397354878081/833791957434231776141*c_0101_4^14 + 11569728679393516162815313/833791957434231776141*c_0101_4^13 + 43143592475886960696879183/833791957434231776141*c_0101_4^12 + 1810319826302276492084891/833791957434231776141*c_0101_4^11 - 39710694313707390897360366/833791957434231776141*c_0101_4^10 + 2027033834751386480468919/833791957434231776141*c_0101_4^9 + 1768947980886982002361991/833791957434231776141*c_0101_4^8 - 27596914916845954241838404/833791957434231776141*c_0101_4^7 + 5529480508493686733907242/833791957434231776141*c_0101_4^6 + 23346134396022340918423395/833791957434231776141*c_0101_4^5 + 2233479291656689312020007/833791957434231776141*c_0101_4^4 - 5931059657557464967094463/833791957434231776141*c_0101_4^3 - 1760976346437881548702731/833791957434231776141*c_0101_4^2 + 36396854057703603433777/119113136776318825163*c_0101_4 + 88777996130738211110182/833791957434231776141, c_0011_0 - 1, c_0011_3 - 19778815010461717493/119113136776318825163*c_0101_4^18 - 113378812311673646188/119113136776318825163*c_0101_4^17 + 76561526617279547140/119113136776318825163*c_0101_4^16 - 609088205771199694780/119113136776318825163*c_0101_4^15 - 1837218054167658356020/119113136776318825163*c_0101_4^14 + 6201899956461163404596/119113136776318825163*c_0101_4^13 + 8066316408349614507043/119113136776318825163*c_0101_4^12 - 9999874071730618907958/119113136776318825163*c_0101_4^11 - 5455100804839354833819/119113136776318825163*c_0101_4^10 + 6750854644408425411106/119113136776318825163*c_0101_4^9 - 6095070747814986206348/119113136776318825163*c_0101_4^8 - 3317879145932759331162/119113136776318825163*c_0101_4^7 + 7267417909023077482882/119113136776318825163*c_0101_4^6 + 1965799223129017038651/119113136776318825163*c_0101_4^5 - 1740568013947860610293/119113136776318825163*c_0101_4^4 - 314981989510339705998/119113136776318825163*c_0101_4^3 + 9841124614332392261/119113136776318825163*c_0101_4^2 - 327383939010967430598/119113136776318825163*c_0101_4 + 2511719831317260975/119113136776318825163, c_0011_4 - 19016816038337820491/119113136776318825163*c_0101_4^18 - 107742135252886723772/119113136776318825163*c_0101_4^17 + 84366821883062194811/119113136776318825163*c_0101_4^16 - 569615226703234323746/119113136776318825163*c_0101_4^15 - 1735008936383822101981/119113136776318825163*c_0101_4^14 + 6185490107047981505807/119113136776318825163*c_0101_4^13 + 7703841875977124279360/119113136776318825163*c_0101_4^12 - 11118897161790510709891/119113136776318825163*c_0101_4^11 - 6323646012396686393832/119113136776318825163*c_0101_4^10 + 8016776299341110484592/119113136776318825163*c_0101_4^9 - 4677595573305389405924/119113136776318825163*c_0101_4^8 - 3281390822112940417766/119113136776318825163*c_0101_4^7 + 7615459231248962941628/119113136776318825163*c_0101_4^6 + 2282190980889138017878/119113136776318825163*c_0101_4^5 - 2756368377911789676742/119113136776318825163*c_0101_4^4 - 1461016473219475970533/119113136776318825163*c_0101_4^3 + 122163857290714024587/119113136776318825163*c_0101_4^2 + 187364677065522213335/119113136776318825163*c_0101_4 + 126477114086419787710/119113136776318825163, c_0011_6 - 21528535869655081466/119113136776318825163*c_0101_4^18 - 142591269251252007115/119113136776318825163*c_0101_4^17 - 21476830934659668452/119113136776318825163*c_0101_4^16 - 558358415700203561956/119113136776318825163*c_0101_4^15 - 2605316004612016938161/119113136776318825163*c_0101_4^14 + 5124393480757356791062/119113136776318825163*c_0101_4^13 + 15292211179325415742156/119113136776318825163*c_0101_4^12 - 4584729850544425397598/119113136776318825163*c_0101_4^11 - 18013907530603821937965/119113136776318825163*c_0101_4^10 + 4149082427894264586973/119113136776318825163*c_0101_4^9 + 2002930915826152697882/119113136776318825163*c_0101_4^8 - 10612227726936019023814/119113136776318825163*c_0101_4^7 + 5586092358781958490641/119113136776318825163*c_0101_4^6 + 10285542800488172966435/119113136776318825163*c_0101_4^5 - 1566690582659806279366/119113136776318825163*c_0101_4^4 - 3495455707431456114901/119113136776318825163*c_0101_4^3 - 44626662171907283886/119113136776318825163*c_0101_4^2 + 262510517294103390946/119113136776318825163*c_0101_4 - 89328847642180600650/119113136776318825163, c_0101_0 - 7363977310100962547/119113136776318825163*c_0101_4^18 - 63200679898943595773/119113136776318825163*c_0101_4^17 - 85650203322583836131/119113136776318825163*c_0101_4^16 - 107096588179562831411/119113136776318825163*c_0101_4^15 - 1335468866953734428634/119113136776318825163*c_0101_4^14 + 540460052437375325042/119113136776318825163*c_0101_4^13 + 10250405582223712831751/119113136776318825163*c_0101_4^12 + 3211815716815537125690/119113136776318825163*c_0101_4^11 - 16074853891488458504022/119113136776318825163*c_0101_4^10 - 1669612352412878064128/119113136776318825163*c_0101_4^9 + 7810584934658283533276/119113136776318825163*c_0101_4^8 - 8300672409875062979048/119113136776318825163*c_0101_4^7 + 496329537968853368845/119113136776318825163*c_0101_4^6 + 9773104583108544967899/119113136776318825163*c_0101_4^5 + 6721992067940590855/119113136776318825163*c_0101_4^4 - 3617953723193602294741/119113136776318825163*c_0101_4^3 - 1026541811923519180260/119113136776318825163*c_0101_4^2 + 432740404129657875972/119113136776318825163*c_0101_4 + 165272745135219325694/119113136776318825163, c_0101_1 + 32791997698457380031/119113136776318825163*c_0101_4^18 + 216485936473199534097/119113136776318825163*c_0101_4^17 + 29810656419251990797/119113136776318825163*c_0101_4^16 + 882444474491895348711/119113136776318825163*c_0101_4^15 + 4090444445767276572309/119113136776318825163*c_0101_4^14 - 7802591262147223158634/119113136776318825163*c_0101_4^13 - 22245306347952135069324/119113136776318825163*c_0101_4^12 + 9633608229502875888268/119113136776318825163*c_0101_4^11 + 21687767707111000533301/119113136776318825163*c_0101_4^10 - 19208806680419049676703/119113136776318825163*c_0101_4^9 - 1145292008383415535017/119113136776318825163*c_0101_4^8 + 22091071991451242051784/119113136776318825163*c_0101_4^7 - 12339201333529004378534/119113136776318825163*c_0101_4^6 - 9852156714454690607607/119113136776318825163*c_0101_4^5 + 9764960479762978851463/119113136776318825163*c_0101_4^4 + 2135914526688185406377/119113136776318825163*c_0101_4^3 - 2384042166452827085040/119113136776318825163*c_0101_4^2 - 589826707650393314873/119113136776318825163*c_0101_4 + 85079255435569424277/119113136776318825163, c_0101_4^19 + 6*c_0101_4^18 - 3*c_0101_4^17 + 26*c_0101_4^16 + 104*c_0101_4^15 - 309*c_0101_4^14 - 552*c_0101_4^13 + 610*c_0101_4^12 + 673*c_0101_4^11 - 632*c_0101_4^10 + 28*c_0101_4^9 + 492*c_0101_4^8 - 513*c_0101_4^7 - 293*c_0101_4^6 + 309*c_0101_4^5 + 117*c_0101_4^4 - 59*c_0101_4^3 - 26*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB