closed_census_data.py

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# Data extracted from SnapPy 3.3.2 OrientableClosedCensus.
#
# The first 1000 by volume, of 11031. The generator beside this file
# proves each volume in arb from the triangulation here and never
# imports SnapPy: only this extraction needs it.
CLOSED_CENSUS_VOLUME_LT_ONE = [
    {
        'name': 'm003(-3,1)',
        'volume_key': '0.94270736277692772092129960309221164759032710576688315901450677',
        'homology': 'Z/5 + Z/5',
        'filling': [(-3, 1)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, -4], [-5, 1], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 5, 0, -4, -1, 0]],
        'shapes': [['0.547879104829110511789935094655461997116899798784516445920935057', '2.01505245955628078714133994659237276671773922767181592418176286'], ['0.359602207546569741141010436225057981355695611893557092356788497', '0.0369505857455089299441830555257850292604299450376171640603227837']],
    },
    {
        'name': 'm003(-2,3)',
        'volume_key': '0.98136882889223208809145218979442706823816432190631243864260420',
        'homology': 'Z/5',
        'filling': [(-2, 3)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, 2], [-1, 3], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 1, 0, 2, -3, 0]],
        'shapes': [['1.58807766432687476376235520858824850784129189875306705180326914', '0.537074212642491144755242533026738645380856583780875312530180051'], ['-0.368630192177599601749220460328400926575356333255592081675314675', '0.377399450325235311183373676825678501868750002906587341043908956']],
    },
    {
        'name': 'm003(-4,3)',
        'volume_key': '1.26370923865804365588471634680809110447941074848505493369058159',
        'homology': 'Z/5 + Z/5',
        'filling': [(-4, 3)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, -2], [-5, 3], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 5, 0, -2, -3, 0]],
        'shapes': [['1.71281673165384117322254669323034894979853154155232677081076076', '1.63132897086086845659317971739918070389201536487802849378944688'], ['0.0264159760458056969295100794357194017970150045160468911005200791', '0.235598441749682052601180069762835974937058397487031516589717486']],
    },
    {
        'name': 'm004(6,1)',
        'volume_key': '1.28448530046835444246033708486871125891241877318392809214943702',
        'homology': 'Z/6',
        'filling': [(6, 1)],
        'rect': [([2, -1], [-1, 2], 1), ([-2, 1], [1, -2], 1), ([6, -2], [0, 10], 1)],
        'log': [[2, 1, 0, 1, 0, 2], [0, 1, 2, 1, 2, 0], [6, 0, 0, 0, -8, 2]],
        'shapes': [['0.186743290487932847005241321037296635003404701029003422462289686', '0.427298372429305573402812921306416285293159164085252308848600873'], ['-0.293091665061309515970965790013518043749001201845191248508543948', '0.295959093563235747378442130783155510180820127224205387306467448']],
    },
    {
        'name': 'm004(1,2)',
        'volume_key': '1.39850888415080664050959432666300492027643394732582711854822187',
        'homology': '0',
        'filling': [(1, 2)],
        'rect': [([2, -1], [-1, 2], 1), ([-2, 1], [1, -2], 1), ([1, -4], [0, 9], 1)],
        'log': [[2, 1, 0, 1, 0, 2], [0, 1, 2, 1, 2, 0], [1, 0, 0, 0, -5, 4]],
        'shapes': [['0.581695343980831103749482337001132104216747222103771180879345606', '0.302408812463156375652888186324205119866088570206428257849710382'], ['0.331368297088926883631188035678558598729862679221640797372922737', '0.301335815904481142883785765561320693789310372014610373580635182']],
    },
    {
        'name': 'm003(-3,4)',
        'volume_key': '1.41406104416539158138194940463831747138549065865032473852176016',
        'homology': 'Z/10',
        'filling': [(-3, 4)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, 2], [-2, 4], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 2, 0, 2, -4, 0]],
        'shapes': [['1.39860627311124217272468080491557928233555808072419870661987071', '0.800120297601361170991265720517038040111566896066428155860842686'], ['-0.183526418610268805680380783975363606755456800288668816892236254', '0.507020981080684309501086852996727388626439191736180358179395364']],
    },
    {
        'name': 'm003(-4,1)',
        'volume_key': '1.42361190029282524980994915212965887563449887047117909050211134',
        'homology': 'Z/35',
        'filling': [(-4, 1)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, -6], [-7, 1], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 7, 0, -6, -1, 0]],
        'shapes': [['0.633450595031351726346625042876550249828910479581220311200567176', '1.77969783791494418367333383945866208533423147116221730917442123'], ['0.407163797276306445740103132542913030469595375498762936244500548', '0.217129150787985661821012364577374778185478387886341998900890962']],
    },
    {
        'name': 'm004(3,2)',
        'volume_key': '1.44069900672736487528237022316619469876814164783080823777573615',
        'homology': 'Z/3',
        'filling': [(3, 2)],
        'rect': [([2, -1], [-1, 2], 1), ([-2, 1], [1, -2], 1), ([3, -4], [0, 11], 1)],
        'log': [[2, 1, 0, 1, 0, 2], [0, 1, 2, 1, 2, 0], [3, 0, 0, 0, -7, 4]],
        'shapes': [['0.495465606407554688270074243500346917299631043898467772456649259', '0.318434402522425596210880006431925216414472405626801723434584280'], ['0.238462993264987177046670401606408415148341333331599298455782010', '0.314529905221421367673956279642315486476456347280408476709466902']],
    },
    {
        'name': 'm004(7,1)',
        'volume_key': '1.46377664492723877337569409113431018014145025613548231137079731',
        'homology': 'Z/7',
        'filling': [(7, 1)],
        'rect': [([2, -1], [-1, 2], 1), ([-2, 1], [1, -2], 1), ([7, -2], [0, 11], 1)],
        'log': [[2, 1, 0, 1, 0, 2], [0, 1, 2, 1, 2, 0], [7, 0, 0, 0, -9, 2]],
        'shapes': [['0.213640526637562118181689357297645696841303428281269757924336906', '0.465417715048843390286363334981252527651959904576530267097564807'], ['-0.290463867922938219206184950863119692264638013143375543123157068', '0.450797860237454522607464778372085895290915167096806087096381244']],
    },
    {
        'name': 'm004(5,2)',
        'volume_key': '1.52947732943002626282492862961913965377745460814177534214802441',
        'homology': 'Z/5',
        'filling': [(5, 2)],
        'rect': [([2, -1], [-1, 2], 1), ([-2, 1], [1, -2], 1), ([5, -4], [0, 13], 1)],
        'log': [[2, 1, 0, 1, 0, 2], [0, 1, 2, 1, 2, 0], [5, 0, 0, 0, -9, 4]],
        'shapes': [['0.410905309023602714651963410473435714328958196001005908450601789', '0.359235001126753341051970394749006768449745810078733610279446374'], ['0.133663276149852580854906442105888350430637527680228104425004537', '0.353595671381043733013904232403006375625769305606611178386437795']],
    },
    {
        'name': 'm003(-5,3)',
        'volume_key': '1.54356891147185507432847294312136129032494458596987660198161991',
        'homology': 'Z/35',
        'filling': [(-5, 3)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, -4], [-7, 3], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 7, 0, -4, -3, 0]],
        'shapes': [['1.05037709376015539064417520236910247580635087525236265935080346', '1.65160868619972136468360873708995687758501418708452036141847808'], ['0.210020470154760566002339149560217463101992312556269721594002837', '0.299680252888862076287256060127198281726151449000434127925840450']],
    },
    {
        'name': 'm007(4,1)',
        'volume_key': '1.58316666062481283616602885187919062839805259468511564120510037',
        'homology': 'Z/21',
        'filling': [(4, 1)],
        'rect': [([1, 2, 1], [0, 0, 0], 1), ([-1, -2, -1], [-1, 1, -1], 1), ([0, 0, 0], [1, -1, 1], 1), ([1, -3, -4], [-3, 0, 3], -1)],
        'log': [[1, 0, 0, 2, 0, 0, 1, 0, 0], [0, 2, 1, 0, 1, 2, 0, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [2, 4, 1, -4, -1, -1, -1, 0, 3]],
        'shapes': [['-1.25914542655820872162483030590948443301769091736382950135630723', '1.43224962263063002468391618106497610796875901596805420994212867'], ['-0.341163901914009663684741869855524128445594290948999288901864303', '1.16154139999725193608791768724717407484314725802151429063616621'], ['0.344032006791805380926980953588466622113713551229688072730987069', '0.0982811848484259991660208927760107981997020149645872648935087777']],
    },
    {
        'name': 'm003(-5,4)',
        'volume_key': '1.58864663930016298817691381247394270221498377681645743847377433',
        'homology': 'Z/30',
        'filling': [(-5, 4)],
        'rect': [([1, 1], [1, 1], 1), ([-1, -1], [-1, -1], 1), ([0, -2], [-6, 4], 1)],
        'log': [[2, 0, 1, 2, 0, 1], [0, 2, 1, 0, 2, 1], [0, 6, 0, -2, -4, 0]],
        'shapes': [['1.27184450634603818078542798590087399326260164882549196762040202', '1.32867878721067867427397179956880113868382123334515827552886949'], ['0.0803566223929194337240737176733566997879106269512038766106206803', '0.392754450036458054731135033774235932454527525509218040313498227']],
    },
    {
        'name': 'm006(-3,2)',
        'volume_key': '1.64960971580866412079839588191833216350816993555573769800344981',
        'homology': 'Z/15',
        'filling': [(-3, 2)],
        'rect': [([-1, 1, 1], [2, -2, -2], 1), ([0, -1, -1], [-2, 1, 1], 1), ([1, 0, 0], [0, 1, 1], 1), ([3, 2, -2], [0, 6, 0], 1)],
        'log': [[1, 0, 2, 1, 2, 0, 1, 2, 0], [0, 2, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1], [3, 0, 0, 2, -6, 0, -2, 0, 0]],
        'shapes': [['1.49371640315453960066692732244783219046655948920986602030396339', '1.81473821980190289228165344983639269819102014458493455849801107'], ['-0.117256024293597702154670244099359978833990237462794714409421602', '0.0995205315343905639083999850170527780874954770993869543294545502'], ['0.733915951839469638758310353072809384406701734532739536451894478', '0.270314477345966077780163975005783381972985310622596919582163548']],
    },
    {
        'name': 'm015(5,1)',
        'volume_key': '1.75712602918845136287474659357178716757675628873367042292613961',
        'homology': 'Z/7',
        'filling': [(5, 1)],
        'rect': [([1, 1, 1], [-1, 1, -1], -1), ([0, 0, 0], [1, -2, 1], 1), ([-1, -1, -1], [0, 1, 0], -1), ([3, 1, -1], [-5, 4, 0], -1)],
        'log': [[1, 1, 0, 2, 0, 1, 1, 1, 0], [1, 0, 1, 0, 2, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 1, 1], [3, 5, 0, 0, -5, -1, -1, 0, 0]],
        'shapes': [['1.47049006960623821253059122268569511153501656402107258203790649', '2.19439065869077895989458575645174290359339533523198787002689842'], ['0.314845685553522364614865137330714064142219562435062164599132436', '0.871407150560943477549689644413236815314034457683945313652296386'], ['0.452675320875919580363784405762828672086851053195665720927775645', '0.0147663593706472936477546861595046522666846242275326913183622140']],
    },
    {
        'name': 'm007(-3,2)',
        'volume_key': '1.82434432220291196127495721781187312910818810590623266739981850',
        'homology': 'Z/3 + Z/3',
        'filling': [(-3, 2)],
        'rect': [([1, 2, 1], [0, 0, 0], 1), ([-1, -2, -1], [-1, 1, -1], 1), ([0, 0, 0], [1, -1, 1], 1), ([2, 5, 3], [5, 0, -5], -1)],
        'log': [[1, 0, 0, 2, 0, 0, 1, 0, 0], [0, 2, 1, 0, 1, 2, 0, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [4, -3, 2, 3, -2, -2, -2, 0, -5]],
        'shapes': [['-0.162036091093698995555633214842361913245010456191797883132401362', '0.0178161708358419784064711710764881827746036800956916594069602930'], ['0.855953080767601626093810959923587822916409159980030747060808248', '1.70065209615499706495781668160669839776738307889769308321367978'], ['0.853635274732335460712787844814952162625700879055174492071766358', '1.46126652194348073061792869494618681768824748909456733267736343']],
    },
    {
        'name': 'm009(5,1)',
        'volume_key': '1.83193118835443803010920702986476822154829874856334426853299624',
        'homology': 'Z/2 + Z/4',
        'filling': [(5, 1)],
        'rect': [([2, 2, 2], [0, 0, 0], 1), ([0, -2, 0], [-1, 2, -1], 1), ([-2, 0, -2], [1, -2, 1], 1), ([-2, -8, -6], [-6, 4, 2], 1)],
        'log': [[2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 2, 0, 1, 0], [0, 1, 2, 0, 2, 0, 0, 1, 2], [-4, 4, -2, -3, 1, 5, -5, -1, 1]],
        'shapes': [['4.05817102727149225032198104758045042123873009967781948628154235', '1.48586827175664567818286387589453256219248598400237301095173841'], ['0.200000000000000000000000000000000000000000000000000000000000000', '0.400000000000000000000000000000000000000000000000000000000000000'], ['-0.0581710272714922503219810475804504212387300996778194862815423527', '0.514131728243354321817136124105467437807514015997626989048261588']],
    },
    {
        'name': 'm010(-2,3)',
        'volume_key': '1.83193118835443803010920702986476822154829874856334426853299624',
        'homology': 'Z/2 + Z/12',
        'filling': [(-2, 3)],
        'rect': [([2, 2, 2], [0, 0, 0], 1), ([0, -2, 0], [-1, 2, -1], 1), ([-2, 0, -2], [1, -2, 1], 1), ([0, -2, -4], [-4, 0, 4], 1)],
        'log': [[2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 2, 0, 1, 0], [0, 1, 2, 0, 2, 0, 0, 1, 2], [-4, 0, -4, 0, 2, 2, 0, 0, 4]],
        'shapes': [['4.05817102727149225032198104758045042123873009967781948628154235', '1.48586827175664567818286387589453256219248598400237301095173841'], ['0.200000000000000000000000000000000000000000000000000000000000000', '0.400000000000000000000000000000000000000000000000000000000000000'], ['-0.0581710272714922503219810475804504212387300996778194862815423527', '0.514131728243354321817136124105467437807514015997626989048261588']],
    },
    {
        'name': 'm009(-5,1)',
        'volume_key': '1.83193118835443803010920702986476822154829874856334426853299624',
        'homology': 'Z/2 + Z/6',
        'filling': [(-5, 1)],
        'rect': [([2, 2, 2], [0, 0, 0], 1), ([0, -2, 0], [-1, 2, -1], 1), ([-2, 0, -2], [1, -2, 1], 1), ([8, 12, 4], [4, -6, 2], 1)],
        'log': [[2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 2, 0, 1, 0], [0, 1, 2, 0, 2, 0, 0, 1, 2], [6, -6, -2, 7, 1, -5, 5, -1, 1]],
        'shapes': [['-0.529085513635746125160990523790225210619365049838909743140771176', '0.742934135878322839091431937947266281096242992001186505475869206'], ['0.500000000000000000000000000000000000000000000000000000000000000', '0.500000000000000000000000000000000000000000000000000000000000000'], ['1.52908551363574612516099052379022521061936504983890974314077118', '0.257065864121677160908568062052733718903757007998813494524130793']],
    },
    {
        'name': 'm011(1,3)',
        'volume_key': '1.83193118835443803010920702986476822154829874856334426853299624',
        'homology': 'Z/14',
        'filling': [(1, 3)],
        'rect': [([2, -1, 1], [-1, 2, 0], 1), ([-1, 1, -1], [0, -1, 2], -1), ([-1, 0, 0], [1, -1, -2], -1), ([5, 2, 0], [-3, -1, 4], -1)],
        'log': [[2, 1, 0, 1, 0, 2, 1, 0, 0], [0, 1, 1, 1, 1, 0, 1, 0, 2], [0, 0, 1, 0, 1, 0, 0, 2, 0], [2, 0, -3, 1, 0, -1, 3, -1, 3]],
        'shapes': [['-0.636009824757034482126211230868745745857804020920048124308320191', '0.893075688878711643034779292921479464761561028918861618832450985'], ['2.52908551363574612516099052379022521061936504983890974314077118', '0.742934135878322839091431937947266281096242992001186505475869207'], ['1.00000000000000000000000000000000000000000000000000000000000000', '1.00000000000000000000000000000000000000000000000000000000000000']],
    },
    {
        'name': 'm006(1,3)',
        'volume_key': '1.83193118835443803010920702986476822154829874856334426853299624',
        'homology': 'Z/5 + Z/10',
        'filling': [(1, 3)],
        'rect': [([-1, 1, 1], [2, -2, -2], 1), ([0, -1, -1], [-2, 1, 1], 1), ([1, 0, 0], [0, 1, 1], 1), ([-1, 3, -3], [0, -2, 0], 1)],
        'log': [[1, 0, 2, 1, 2, 0, 1, 2, 0], [0, 2, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1], [-1, 0, 0, 3, 2, 0, -3, 0, 0]],
        'shapes': [['1.00000000000000000000000000000000000000000000000000000000000000', '1.00000000000000000000000000000000000000000000000000000000000000'], ['-0.636009824757034482126211230868745745857804020920048124308320191', '0.893075688878711643034779292921479464761561028918861618832450985'], ['0.636009824757034482126211230868745745857804020920048124308320192', '0.106924311121288356965220707078520535238438971081138381167549015']],
    },
    {
        'name': 'm007(-5,1)',
        'volume_key': '1.84358597232667793872045475489702833698259553095567803508300167',
        'homology': 'Z/6',
        'filling': [(-5, 1)],
        'rect': [([1, 2, 1], [0, 0, 0], 1), ([-1, -2, -1], [-1, 1, -1], 1), ([0, 0, 0], [1, -1, 1], 1), ([1, 6, 5], [6, 0, -6], 1)],
        'log': [[1, 0, 0, 2, 0, 0, 1, 0, 0], [0, 2, 1, 0, 1, 2, 0, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [2, -5, 1, 5, -1, -1, -1, 0, -6]],
        'shapes': [['0.0506312618847101491936410106169061085455360758434629551574957167', '0.104606402599470125301407040158912287272211309706031659176082157'], ['-0.211397000096627233917945923346677566465639612498675736190170501', '2.04027904344680391665713382661117995420132427683873257392750822'], ['-0.494654323994983080307428916060099160651609060113623642774532097', '1.98440137730252975420662349884059461660890138146691830041818598']],
    },
    {
        'name': 'm009(1,2)',
        'volume_key': '1.84358597232667793872045475489702833698259553095567803508300167',
        'homology': 'Z/2',
        'filling': [(1, 2)],
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        'shapes': [['1.60761970885343975058992479619265129804963214690533920573555286', '0.237114948707071336333520679683886111416719488251452719225971016'], ['1.61678839078813652443422023551112098512922481633086690382418258', '0.805028088585450845319044763969927327801620809164581582377997741'], ['0.259075617709835939831406723694271068465926438733530652673128431', '1.08420394058036628990372713236874498174228167293800021099797675'], ['-0.293550940218013517310862342887253813966711215832958541644629013', '0.349673857608238471635165983148874301234135175747243841656712457'], ['0.400301891323469219688836497876003828321073871564444421573020090', '0.782721966506674645622078948457650226483394266961444439253776663'], ['-0.570345893214928818883862633164097662125382739554925219335506951', '0.628718242775387879754713488208779560959150534387317667810548514']],
    },
    {
        'name': 'm306(6,1)',
        'volume_key': '3.89742562147732399493082847332636649908126827836023944267139363',
        'homology': 'Z/2 + Z/14',
        'filling': [(6, 1)],
        'rect': [([0, 1, 2, 0, 0], [1, -1, 0, 0, -2], -1), ([0, -1, 0, -2, 0], [-1, 1, 0, 2, 0], -1), ([-1, 1, 0, 1, 0], [1, 0, -1, -2, 0], -1), ([0, -1, -2, 0, -2], [-1, 1, 2, 0, 2], -1), ([1, 0, 0, 1, 2], [0, -1, -1, 0, 0], 1), ([-8, 5, 5, 6, 10], [12, -1, -16, -12, -5], -1)],
        'log': [[1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0], [-1, -5, 7, -1, -5, -6, 0, 11, -5, 0, 6, -6, 5, 0, -5]],
        'shapes': [['0.490119826295639906248230034699588727873438450500211419219932841', '0.348569831787476810638924810612939274074352618386380786042294129'], ['0.570236019086164873385320766448814196837743694700900676385867250', '0.146978110843576708289811354389391352365109124961927997920444490'], ['1.11162725064687229392335987607042032656419048595266954650538725', '1.00272482438289870887170323882843645659472771919399564677611506'], ['0.555813625323436146961679938035210163282095242976334773252693626', '0.501362412191449354435851619414218228297363859596997823388057530'], ['0.111627250646872293923359876070420326564190485952669546505387251', '1.00272482438289870887170323882843645659472771919399564677611506']],
    },
    {
        'name': 'm304(6,1)',
        'volume_key': '3.89742562147732399493082847332636649908126827836023944267139363',
        'homology': 'Z/22',
        'filling': [(6, 1)],
        'rect': [([2, 2, 2, 2, 2], [0, 0, 0, 0, 0], 1), ([0, -1, 0, -2, 0], [-1, 1, 0, 1, -1], -1), ([-1, 0, 0, 0, -1], [1, -2, 0, 0, 1], 1), ([-1, 0, 0, 0, -1], [1, 0, -1, -1, 1], 1), ([0, -1, -2, 0, 0], [-1, 1, 1, 0, -1], -1), ([3, -7, -12, -2, 0], [-5, 12, 5, 0, -12], -1)],
        'log': [[2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0], [0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0], [-2, 0, -5, -1, -6, 6, -6, 1, 6, -2, 0, 0, 0, 12, 0]],
        'shapes': [['0.270636429181781561812656426153895663930068541860161191984074698', '0.195731324578590346734619068278418238068191520621556642915982095'], ['1.00799479682028533345063666539531446640316030073974896606019937', '0.894821751235826345569539024835662939530341085926230009779955118'], ['1.00799479682028533345063666539531446640316030073974896606019937', '0.894821751235826345569539024835662939530341085926230009779955119'], ['1.00799479682028533345063666539531446640316030073974896606019937', '0.894821751235826345569539024835662939530341085926230009779955118'], ['1.15370540203368212593254081794465027126282857326157482470750306', '0.404831534909372443351217367089481350992491423869348605309676306']],
    },
    {
        'name': 'm400(1,3)',
        'volume_key': '3.89858425115506994420608442699918595480470695558791686972813980',
        'homology': 'Z/58',
        'filling': [(1, 3)],
        'rect': [([2, 1, 1, 1, 0], [0, 0, 0, 0, 0], 1), ([0, -1, -2, -1, 0], [-2, 1, 2, 1, 0], 1), ([-1, 0, 0, 0, -1], [1, -1, 0, -1, 2], -1), ([-1, 1, 0, 1, 1], [1, 0, -2, 0, 0], -1), ([0, -1, 1, -1, 0], [0, 0, 0, 0, -2], 1), ([0, -1, -3, 4, 0], [-1, 4, 1, -3, 4], -1)],
        'log': [[2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2], [0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0], [0, 1, 0, 0, -3, 1, -3, -1, 0, 1, 0, -3, 3, -1, 3]],
        'shapes': [['-0.0190552899284836389034779058169300708172031748303063361275780352', '0.919793324835238512435063413367384718348886062585057948518399878'], ['0.312393414732803221131026498231507155988174216818747690424871214', '0.168179426245417921909395745986578406629424617244297199361148336'], ['0.555572874108784574864964435428138829977712328848307048012771901', '0.853723914226091194761238736553598664935480077130533906883116916'], ['-0.136044606664353592378316595912359311863552884480158912261426486', '3.26658234734846644050291607996478937400439020088712259908694849'], ['0.204163840250085768953606594913350154534109642180318452333880582', '0.494744264360330297078773983301566331096771897196753167668194348']],
    },
    {
        'name': 'm289(8,1)',
        'volume_key': '3.89967710948134127022908249028845809617653121176476106010746538',
        'homology': '0',
        'filling': [(8, 1)],
        'rect': [([0, 1, 1, 0, 1], [1, -1, 0, -1, 0], -1), ([0, -1, 0, -1, -1], [-1, 1, 0, 1, 1], -1), ([-1, 0, 1, 1, 0], [1, 0, -1, -1, -1], -1), ([0, 0, -1, 0, 0], [-1, -1, 0, 0, 1], 1), ([1, 0, -1, 0, 0], [0, 1, 1, 1, -1], -1), ([2, -1, -8, 1, 1], [-9, 0, 0, -1, 2], -1)],
        'log': [[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [1, 8, -1, -1, 0, 0, -8, 0, 0, 1, 1, 0, 1, -2, 0]],
        'shapes': [['1.53074913016904618064257355360995753975816647238912658435785627', '0.876450873889938754216930137965819699032331977320408432318143030'], ['0.318058682933982606597299804851435110403870008655896358565755244', '0.203592733077859981525222352757944685376244558746045697019924640'], ['0.160397955181249387944409524448055496194696110443104486078905748', '1.35448048897032133641095492771333973746858336681504347939769533'], ['1.19023635047738087072330587007542392669933439426020214575776059', '0.650888323457364025609451577943461235278161402628516446841502304'], ['0.423479478465970222943784522895170342646887792783790516779318142', '0.810468402197374626757960689082678316389543904931087765517299082']],
    },
    {
        'name': 'm288(-5,1)',
        'volume_key': '3.90025195199467934778285575822578933341306951251778567414312017',
        'homology': 'Z/33',
        'filling': [(-5, 1)],
        'rect': [([2, 2, 2, 1, 1], [0, 0, 0, 0, 0], 1), ([0, -2, 0, 0, 0], [-1, 2, 0, -1, -1], 1), ([-2, 0, 0, 0, 0], [2, -1, -1, 0, 0], 1), ([0, 0, -2, -1, -1], [-1, -1, 2, 0, 0], 1), ([0, 0, 0, 0, 0], [0, 0, -1, 1, 1], 1), ([5, 3, 3, 3, 0], [-2, 1, 1, -5, 5], -1)],
        'log': [[2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1], [4, 1, -1, 4, 0, 1, 0, -4, -3, -1, 1, -4, 4, -1, 4]],
        'shapes': [['0.480290777114712093003522026913886396221509145027592831893916424', '0.470114394518225019899398673165025717683365871453256583206504246'], ['0.480290777114712093003522026913886396221509145027592831893916424', '0.470114394518225019899398673165025717683365871453256583206504245'], ['2.01592171366444312923656944910142854099273693404476557989400682', '1.17261864676974185684127649266136089382324687024601634318088529'], ['1.42776238836261888091956463514291146585431216611712384226348751', '1.51779566823941654534553620557938606210256563201519742870927098'], ['0.109509576508034353362233347136882664518430535948935539842603342', '0.418372127806939263890552821355741579230905730999354952385383350']],
    },
    {
        'name': 'm342(3,2)',
        'volume_key': '3.90115618104943060832437603530161471253962662750110437989806028',
        'homology': 'Z/17',
        'filling': [(3, 2)],
        'rect': [([2, 1, 2, 1, 2], [0, 0, 0, 0, 0], 1), ([0, -2, -1, 0, 0], [-1, 2, 1, 0, -1], -1), ([-1, 1, 0, 0, -1], [1, -2, 0, -2, 1], 1), ([-1, 0, 0, 0, -1], [1, 0, -2, 0, 1], 1), ([0, 0, -1, -1, 0], [-1, 0, 1, 2, -1], -1), ([0, 1, -1, -1, -1], [-4, -2, 2, 0, 3], -1)],
        'log': [[2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0], [-4, 0, -4, 3, 4, 2, -1, -2, 0, -1, 0, 0, 2, 0, 3]],
        'shapes': [['1.66734908661801858618921644025499205284953416659784677700880887', '0.845283991537674094557253125817241088887089386826976794695347783'], ['0.407220630760141195593664567058670019134404551312512983930746125', '0.485662837440957568516339683723105493668530662670426670750454163'], ['1.51474715500018009913108430809222627357428418423877115744183422', '1.03268602385110778981806835394313599741161661388325901357681814'], ['0.264573949257246077781350749774055109800563922619847965383015949', '0.946608315277279031318566249669652653201447605450051862561365004'], ['0.203352848150750035445457051732629106640266487487772160653891070', '0.308748859171006408689297536398222641238941449138885695264855118']],
    },
    {
        'name': 's350(-5,1)',
        'volume_key': '3.90230756284113937543057097990638765174997939141167557663453861',
        'homology': 'Z/16',
        'filling': [(-5, 1)],
        'rect': [([1, 1, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0], 1), ([-1, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], 1), ([0, 0, 0, 2, -2, 2], [1, 1, -2, 0, 2, 0], 1), ([0, 0, -1, -2, 0, 0], [-1, -1, 1, 2, 0, -1], -1), ([0, 0, -1, 0, 0, 0], [0, 0, 1, 0, -2, -1], -1), ([0, 0, 0, 0, 1, -2], [0, 0, 0, -1, 0, 2], 1), ([-3, 1, 4, -7, 5, -5], [-5, -2, 1, 1, 5, 4], -1)],
        'log': [[1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2], [-3, 5, 0, 0, 1, -1, 0, -5, -4, -6, 0, 1, 5, -5, 0, 0, 1, 5]],
        'shapes': [['1.57166055254047713753263166591761237107342493767994215146405300', '0.437629226589447861546132793366468668573063188472393258860104714'], ['-0.345598988979504511621220156971164334948645102740112930197102883', '0.834613797467265763211566259031588762030641170295288428094418715'], ['-0.0311766439283694820436662995806110793031928256556343312933758710', '0.475063365509831269484463381981535309271914695149966655300386094'], ['1.41824979231741292695141253604870856094208449964224060802612400', '0.534306891069482681705410940795256385056553173311941597848904086'], ['2.13754977153791969067195091494537519853520560928341535901201012', '2.09595547044918959053251983645168409292686713677959046090384905'], ['0.799975381225648367467470277082782282985797300019911385078918109', '0.368548879736327842070657411093740332182869777726225268181349775']],
    },
    {
        'name': 'm336(2,3)',
        'volume_key': '3.90240241831074299209204363011894096606279862450784467113798148',
        'homology': 'Z/90',
        'filling': [(2, 3)],
        'rect': [([0, 1, 1, -1, 0], [1, 0, -1, -1, 0], 1), ([0, -1, -1, -1, 0], [-1, 2, 1, 1, 0], 1), ([-1, 0, 1, 0, 1], [1, -2, 0, 0, -2], -1), ([0, 0, -1, 0, -2], [-1, 0, 1, 0, 2], -1), ([1, 0, 0, 2, 1], [0, 0, -1, 0, 0], 1), ([-3, 0, -5, 0, -4], [-1, 4, -2, 0, 6], -1)],
        'log': [[1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0], [0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0], [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0], [-3, 1, 0, 2, -2, 2, -5, 2, 0, 0, 0, 0, -1, -3, 3]],
        'shapes': [['1.00999228217171237664079910683352753406479616492300574268798701', '0.305301940808227351460351635287567059789663999773463597966736819'], ['0.841862911531521424071711485497749633050626217311869694046731723', '0.729771258548281713043222176578767583466354568034865599435026675'], ['1.07868578988697317492781670870511970896753139247937202534565868', '0.371629253122743410919910152975022647872137797271207590944221717'], ['-0.158137088468478575928288514502250366949373782688130305953268277', '0.729771258548281713043222176578767583466354568034865599435026675'], ['0.517209426185961017429922232020877532210904169788127163550152923', '0.386540336829564041537272972506215285187412740291754318902261486']],
    },
    {
        'name': 'm304(5,2)',
        'volume_key': '3.90262823320446304443548399027909915420047217490204098349658473',
        'homology': 'Z/30',
        'filling': [(5, 2)],
        'rect': [([2, 2, 2, 2, 2], [0, 0, 0, 0, 0], 1), ([0, -1, 0, -2, 0], [-1, 1, 0, 1, -1], -1), ([-1, 0, 0, 0, -1], [1, -2, 0, 0, 1], 1), ([-1, 0, 0, 0, -1], [1, 0, -1, -1, 1], 1), ([0, -1, -2, 0, 0], [-1, 1, 1, 0, -1], -1), ([-1, -7, -10, -4, 0], [-3, 10, 3, 0, -10], -1)],
        'log': [[2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0], [0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0], [-4, 0, -3, -2, -5, 5, -5, 2, 5, -4, 0, 0, 0, 10, 0]],
        'shapes': [['0.395148904502270965356132591633171206554933843277446716280675310', '0.0868889207529876280194120917044313184290839596125102396654328009'], ['0.835282750496464518652762353976955595424174150352225097347939732', '0.867833700373966890315396608541106131635137905665292706926260087'], ['0.835282750496464518652762353976955595424174150352225097347939732', '0.867833700373966890315396608541106131635137905665292706926260088'], ['0.835282750496464518652762353976955595424174150352225097347939732', '0.867833700373966890315396608541106131635137905665292706926260088'], ['1.23325243702988942650294123585582534487152791436222513159929931', '0.692460582804731094688172966331465864665911086065010365211440227']],
    },
]
#
# 49 manifolds were passed over: no geometric triangulation was
# found for them within the retries, so their volume could not be
# certified the way this table certifies one.
#   m007
#   m009
#   m007
#   m007
#   m006
#   m006
#   m006
#   m149
#   m029
#   m030
#   m120
#   m140
#   m135
#   m140
#   m037
#   m221
#   m140
#   m140
#   m140
#   m120
#   m285
#   m162
#   m222
#   m151
#   m151
#   m140
#   m140
#   m249
#   m140
#   m157
#   m294
#   m162
#   m310
#   m157
#   m162
#   m235
#   m305
#   m175
#   s118
#   m234
#   s942
#   s595
#   s645
#   s480
#   s298
#   s645
#   s254
#   s478
#   s254