Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 3937105452] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0310 geometric_solution 4.34828281 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.118146269247 0.922236828093 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048658709685 0.137407919400 0 0 2 2 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.229415712356 0.484426232807 4 5 1 6 1230 0132 0132 0132 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 1 -1 0 1 0 -1 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 -0.242407837641 1.559817080928 6 3 5 1 1302 3012 1230 0132 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 0 0 -1 0 0 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 -0.242407837641 1.559817080928 6 3 6 4 3012 0132 2103 3012 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 -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 -0.106860859813 0.825170662113 5 4 3 5 2103 2031 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154350523676 1.191881892419 ==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' : negation(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' : negation(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' : d['c_0110_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), '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' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_0']})} 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_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 151189716257863477754561120/4710957433233371200386001*c_0110_5^14 - 2483021812655110444135889179/9421914866466742400772002*c_0110_5^13 - 2231131588144690383817488177/4710957433233371200386001*c_0110_5^12 + 8714568457544414772313826307/4710957433233371200386001*c_0110_5^11 + 136249476913809673616092866/66351513144131988737831*c_0110_5^10 - 62440277529526411045089192191/9421914866466742400772002*c_0110_5^9 - 31087696776608190925478732736/4710957433233371200386001*c_0110_5^8 + 52953483011946005197131488069/4710957433233371200386001*c_0110_5^7 + 109642530899584515175577191725/9421914866466742400772002*c_0110_5^6 - 72040231716482286252947721983/4710957433233371200386001*c_0110_5^\ 5 - 281068111224704849757215980499/9421914866466742400772002*c_0110\ _5^4 - 160932458449997262248255848473/9421914866466742400772002*c_0\ 110_5^3 - 5754953261763920584363053101/4710957433233371200386001*c_\ 0110_5^2 + 23751313140109356649653105811/9421914866466742400772002*\ c_0110_5 + 7768915371751199214715360333/9421914866466742400772002, c_0011_0 - 1, c_0011_3 - 26537312541881058414535/265406052576527954951324*c_0110_5^14 + 277637071071969101232091/265406052576527954951324*c_0110_5^13 - 39395088419177703813013/66351513144131988737831*c_0110_5^12 - 465993639265250771354444/66351513144131988737831*c_0110_5^11 + 2006033270677849945564865/265406052576527954951324*c_0110_5^10 + 5697295527051217260039925/265406052576527954951324*c_0110_5^9 - 1679965313689875507898338/66351513144131988737831*c_0110_5^8 - 10030240481444404852677439/265406052576527954951324*c_0110_5^7 + 11150704707330406284499243/265406052576527954951324*c_0110_5^6 + 15019060163435288435531889/265406052576527954951324*c_0110_5^5 - 2566220700511684413104647/132703026288263977475662*c_0110_5^4 - 13527472602126668744332737/265406052576527954951324*c_0110_5^3 - 5110379636765990486775073/265406052576527954951324*c_0110_5^2 + 277230158114936226642728/66351513144131988737831*c_0110_5 + 869465551906477450279737/265406052576527954951324, c_0011_4 - 26537312541881058414535/265406052576527954951324*c_0110_5^14 + 277637071071969101232091/265406052576527954951324*c_0110_5^13 - 39395088419177703813013/66351513144131988737831*c_0110_5^12 - 465993639265250771354444/66351513144131988737831*c_0110_5^11 + 2006033270677849945564865/265406052576527954951324*c_0110_5^10 + 5697295527051217260039925/265406052576527954951324*c_0110_5^9 - 1679965313689875507898338/66351513144131988737831*c_0110_5^8 - 10030240481444404852677439/265406052576527954951324*c_0110_5^7 + 11150704707330406284499243/265406052576527954951324*c_0110_5^6 + 15019060163435288435531889/265406052576527954951324*c_0110_5^5 - 2566220700511684413104647/132703026288263977475662*c_0110_5^4 - 13527472602126668744332737/265406052576527954951324*c_0110_5^3 - 5110379636765990486775073/265406052576527954951324*c_0110_5^2 + 277230158114936226642728/66351513144131988737831*c_0110_5 + 869465551906477450279737/265406052576527954951324, c_0011_6 + 32248903544673648328975/66351513144131988737831*c_0110_5^14 - 270486528464130330008050/66351513144131988737831*c_0110_5^13 - 423793786532735332474836/66351513144131988737831*c_0110_5^12 + 1891291931963355370267006/66351513144131988737831*c_0110_5^11 + 1708672954217721512247959/66351513144131988737831*c_0110_5^10 - 6682097624854325553577540/66351513144131988737831*c_0110_5^9 - 5460780591781830375318973/66351513144131988737831*c_0110_5^8 + 11369262855459966091324199/66351513144131988737831*c_0110_5^7 + 9694283761938017595883917/66351513144131988737831*c_0110_5^6 - 15629945944819252336555197/66351513144131988737831*c_0110_5^5 - 27112743877766112582530096/66351513144131988737831*c_0110_5^4 - 14444335232479694569310154/66351513144131988737831*c_0110_5^3 - 711419061933034157659461/66351513144131988737831*c_0110_5^2 + 2067632907021250130478936/66351513144131988737831*c_0110_5 + 587700086436921282554284/66351513144131988737831, c_0101_0 + 151387478372736719577455/132703026288263977475662*c_0110_5^1\ 4 - 1248882990226700158368043/132703026288263977475662*c_0110_5^13 - 1092684047730588330468339/66351513144131988737831*c_0110_5^12 + 4398044600459255698738452/66351513144131988737831*c_0110_5^11 + 9361231572598460081842515/132703026288263977475662*c_0110_5^10 - 31574168921215972474725135/132703026288263977475662*c_0110_5^9 - 15003682945084855176237147/66351513144131988737831*c_0110_5^8 + 54208549020399397478351461/132703026288263977475662*c_0110_5^7 + 52875770292527934424218491/132703026288263977475662*c_0110_5^6 - 74595168866022844913192275/132703026288263977475662*c_0110_5^5 - 68775798994399762979701712/66351513144131988737831*c_0110_5^4 - 74735941676876539548552785/132703026288263977475662*c_0110_5^3 - 3980393137821523169040733/132703026288263977475662*c_0110_5^2 + 5409016900616936569472811/66351513144131988737831*c_0110_5 + 3138375188383295532485571/132703026288263977475662, c_0101_2 - 58320999505995357344230/66351513144131988737831*c_0110_5^14 + 473435379157769103416258/66351513144131988737831*c_0110_5^13 + 913055085796691641645663/66351513144131988737831*c_0110_5^12 - 3350254055745676760317909/66351513144131988737831*c_0110_5^11 - 4082390304305546617477833/66351513144131988737831*c_0110_5^10 + 12177652505101142031727179/66351513144131988737831*c_0110_5^9 + 13074207230985059136363761/66351513144131988737831*c_0110_5^8 - 20900976123420334789815299/66351513144131988737831*c_0110_5^7 - 22824795130325106593292100/66351513144131988737831*c_0110_5^6 + 28520176611804697280306487/66351513144131988737831*c_0110_5^5 + 56477161381708837239464891/66351513144131988737831*c_0110_5^4 + 32355328041012976995491424/66351513144131988737831*c_0110_5^3 + 2438478779918250418835304/66351513144131988737831*c_0110_5^2 - 4565241668937041204864825/66351513144131988737831*c_0110_5 - 1366735042126577615081484/66351513144131988737831, c_0110_5^15 - 38/5*c_0110_5^14 - 99/5*c_0110_5^13 + 244/5*c_0110_5^12 + 497/5*c_0110_5^11 - 844/5*c_0110_5^10 - 1661/5*c_0110_5^9 + 1149/5*c_0110_5^8 + 2886/5*c_0110_5^7 - 1326/5*c_0110_5^6 - 6107/5*c_0110_5^5 - 5427/5*c_0110_5^4 - 1772/5*c_0110_5^3 + 257/5*c_0110_5^2 + 341/5*c_0110_5 + 71/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB