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Unit roots of hypergeometric Calabi–Yau motives

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Numbers
$A$
$z$
$p$ 
$u_{A,z,p}$
2.2.2.2
1/2
5:
44323779463868198175941356821482968711163695283911378113807568001995765595912671005804825506977179308 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
7:
33672075155049407535986881203484316871974393393149368402062356350133916482979111823577334400744996385 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
11:
4392973499180755277637685397204696521593005065943660624018493091966970169594549226023215608225861064 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
13:
13951549917659897136851461303971322410527840499667612352007358387209424096917992377335020796729950162 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
17:
53381560353233400480704940412477490525666835268221681990372327963716057625053498171489560110319391057 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
23:
24263964697573139230749776633103028176712927147349471695632932021038644496194972758205307549672084079 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
29:
38266832015953715637543939427885491996129683060394817390262886177426880985258548982970209701884603852 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
1/2
31:
257262465795774420607019513194675322714516926721151068554850830863524165980699515149535307209995610688 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
-1
5:
20166888737101335553853166359195126875868243283986600642119734642354109550210830063111816484527742126 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
-1
13:
14672976672105364139346680865646760599748918040404875403364029158830885774706534499114928418302249189 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
-1
17:
42812940455584453654725431794619024717380323213645940545861070519247353914428471484768604027082559144 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
-1
29:
39870194886756292959715819820625573300923841142643583934113955948244420324127596303042484380056159058 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
5:
517771394525948093617989843794347489804686856137126582418617082477549050034868241767596520610711317 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
7:
33672075155049407535986881203484316871974393393149368402062356350133916482979111823577334400744996385 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
11:
99142806664773190508375366233821875801955689149221376439441142912202715852586575318981412113380845507 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
13:
4033088371301314734987495685218343479669290173245216851303717357809831861110934921685874376649266487 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
17:
53381560353233400480704940412477490525666835268221681990372327963716057625053498171489560110319391057 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
23:
24263964697573139230749776633103028176712927147349471695632932021038644496194972758205307549672084079 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
29:
42171277485411327237284508974326056693775169686497133514864587392237805554414509022543552816620014817 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.2.2
2
31:
257262465795774420607019513194675322714516926721151068554850830863524165980699515149535307209995610688 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
5:
28769143282725400753899580564475711266611105792422851800048191077686395694407392448442127858095094607 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
7:
22078316684813021519650374408081375073963732687567117646291164648748820081490640601035269275879672007 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
11:
85661926560462549341461260182106404685002026716028712675213990276834868560119803621097589937838631388 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
13:
5542663773454939888877591889705218807711167090304890724366770768120181409442900441985499458463025597 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
17:
22991163208723013530473640346430153077723630683041191079620888131366935483230150222232480510386637004 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
19:
52186168725665446428612124750159248804273645993779041386434375009957291335351057499469632016253309802 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
23:
38508189507233480366229842919585804209469882896400792411049706807914500168680958164222626005903353185 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
29:
4094189548705600289336055097206502447367642405910708082403003219516458311606530340262602797813548534 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
1/2
31:
95898024692920072207729734538231549540928064324506387431523309183248298402223357380156167289666683019 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
5:
41186600316727570794361097506415004230578638850252817921805426129616188630442855974175248388851749024 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
7:
31583931843680987816825859673596419971410007988782153734846309627127095118235318586196240802750567995 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
11:
36776182979760892213244036309894425291388892291990266026651202736569926672409950449716799708540681232 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
13:
9013943878495704735125181732660510558062677837203672183048699194870018562241431079581718698676790550 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
17:
44999723041427116659094570544077746983720297883435348813471003199015502328562639692849603548114119597 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
19:
8462196098743406832939302868555888462914892575028448625323963526184777376970597617528189977591474066 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
23:
14313349835295019093570445285242433652279003599357165198909009364660238920926352891417372661337311972 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
29:
52321292520463479906556083056988788298407690214891252025370272435669203205500985357594353039221606480 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
-1
31:
24652950350549997641873092291988590508540225521153707836799350233739356074240711249564081272697130501 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
7:
7962580350268219122251953065079652510195894554554060236968278251204361287981606897312296263202711486 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
11:
55173737215038353624767974589728759561476210055196692497247815689032183329541333274204425399724432177 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
13:
8825836762414573724811622848921775828714134902290856985470177108743242336651288452563058754390277089 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
17:
53994768825589609168324364280452224335301606208303132018467564252923409413604955860058785217032296434 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
23:
44493857650666370941622096909982389154852806369944019446310435478104699195569343147734730256550642663 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
29:
38584897088216327426630831208847677457226391433880611272980827185689195395402227099446871668858748563 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.3
2
31:
24652950350549997641873092291988590508540225521153707836799350233739356074240711249564081272697130501 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
3:
12564316069999988625336601909911376847065799713325996452908189167725582534800914973417203724410923381 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
5:
17961775787847687020531080640468555524938075426819505490061244388202653378457476353273682551032194382 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
7:
28293490102916286973742682410057769993852265358322511054925868941209535361615450169278275793536539560 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
11:
8956405914103055605663027819769650011637623284470400430974457223212648230819135118564385744527210208 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
13:
11078907495680738675421560916540719237170450722578290856245217145576987905265434176580260486996946973 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
17:
58946191555601769612900358482931749910359787644826396114813326081176472454466289585373454020782421558 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
19:
92113328333310062564589234716216650938798906838655123143392406419357687628792060263199769267217590677 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
23:
32758972733316635339234188962374068852835514229867569149417697632203358426197216478046747458834595743 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
29:
65179162496747634636531888473781483590946390905138286096540598475952615590506630281299420723105192112 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
1/2
31:
67339957655686211624293039564733429168789563517775490899021866019670749542993326436222585469911101121 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
3:
12564316069999988625336601909911376847065799713325996452908189167725582534800914973417203724410923381 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
5:
25622871254850029337936745700469910408096683734001371168775587688636576800535271071788921137107889514 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
7:
29922690405797076078486430650606160604808322727881107188916681621567343741081695894436598673470660539 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
11:
97026360892287314515318488566205005170304603745484409257708044216149867730494462175369672941303765905 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
13:
8952131706920992174577428840991954406574247978682173181598983172814207887288748282605485684304997387 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
17:
17650210615046020722290299480384788853749411499425990329211667376347961635635391742431991404366460466 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
19:
68904341548228980739241498142688055727801327504329356777876853881715065559560339879536317668424270564 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
23:
56990851304945057533869236431973678225398477556186090550057648745197122591837636487504424561536915176 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
29:
50129440418032814274949200431815785428641134769222902356383028190199327999917333568242086867756779583 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
-1
31:
79324102601898382847167111435819448395648877161870955773489069726583671267818999647909592735748950370 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
3:
12564316069999988625336601909911376847065799713325996452908189167725582534800914973417203724410923381 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
13:
13550813025032492134757776169884269231660113271366244236522794828926633082371482723181096543572457732 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
17:
69995348111905219097486048300119241407335044058831702094404592981942860746563021468498123365934162953 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
19:
48450999150621467349773717175405081257944871325513325123256469368971523649548742435368051162159491178 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
23:
13705678802832413380679358133364763509738112123803439578879847588261657672669016491888108851996013335 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
29:
46908975596332678760280338697703694582145582845741707016502297608336658272502014074823776654073227965 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.4
2
31:
257579431137027445987777633196694527840903956903022090442367773131399039898126629289479513611479961647 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
5:
608588318805222152313226056829078951376672029589307324002145078284233482441117922155390809346701196 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
7:
18476220152592521165378659831702399759291897763008825311792769465989106407519605587330568263301019270 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
11:
42223741349483230629147196613249886680823966377087045418574598888545485398090407920023971204022467852 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
13:
16018659276534495962063234907415896639397644959089578328601922661734445056063479041434240417201567641 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
17:
27673944578812977430723482425702121406017318827250344760895166358683075625371786679589333120759398846 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
19:
19127600556111895653469401758637034408228055474720132664560840285568871190348502989654668714958142888 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
23:
27953131317621388791335843025651514179721331958810320830205839263390534889257456970866765327861360785 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
29:
51625347567921665515363678978414733381857967708603108229089369947178374740814097074775030407004425527 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
1/2
31:
51611871616727330896849326957343503624654712644127044739910236727441746203628085296036704571967009326 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
5:
7295242173614752760490323518854589282186325127697278801957137795987932590925128391894044719887442796 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
7:
28682082220131866578111943754847389397234585055307160392531073059680401852343910929301506907286133260 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
11:
70897470681889858592284198115623579631010280388396553513449961953769422659140182652562529143230520241 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
13:
7795964435586882736625134088588437381929107103435398612056970968992216699898407254956042864461909674 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
17:
92750698961878281731433216366418311574045730982239978998435176438291794981086495597527214381580008 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
19:
49560275785665123948513976371482265325858107764088579855172022758746160175885388224412324304740775843 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
23:
52531239202068023329053462082025826060597403136044468045391595157961248085621931435628496590184277613 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
29:
62631941337324004473436313001968914089911053327238289008604826418545271629502237909037221466651560946 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
-1
31:
203217776394021680776699153618902734322796303891628891600696853444767134463672030043346152323593178894 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
5:
16494088462207429956923280729049595149693203377673846366547611644750416037676241749211932439870753076 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
13:
13215518790613641186244250430589904310993326589539537767077641571327905477292514821632341670887809104 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
17:
40942945588955394752398799758486593891019853290759786390103669670573776430947465217669985027896853076 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
19:
26192811843894883994321817410446195023089078170254692989048894303809100091827326424432650672073542897 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
23:
15978947807517092069218147682015784336000349236326881506090796393306345755825308423005379124489214756 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
29:
2714698923292220033948921112341418830703352579541064913695438765826109024261156072463452692211802519 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
2.2.6
2
31:
131368900217190658455721311659794930320915482657719352091881249197864441591045437844932631670513956580 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
1/2
5:
27260811965053387128584938628377702045142542025143661620868334892517099806009600630223831892657479128 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
1/2
11:
14273929986891922955780730028432554815828425666019756143660313712689918914809962842583810509518851791 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
1/2
17:
38377995022817091348027729400416489708630015875941138662717608383799835749560814119440192404103634309 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
1/2
23:
31215210220077916681212224239277187206127410556790339756834218066543579649017359664578297644521544778 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
1/2
29:
43255884712257028668109434371703749757061229829955685999310300937983232788791587092813167873739739920 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
1/2
31:
34735057015242041751785776385109788417747193745243424736828282407321731587178207470044222970185181707 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
5:
4214419126639411541752260767379192779877032183472467070073623681550990183628971840308038018038959637 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
7:
31778433863879494267464753960480585570259658722415663204626984081298778203182395820479360207708957740 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
11:
8107400148928092101023743277352627375703808626953530610748145084994096421157033055546406164848268039 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
13:
13933737443711534530094656902603372312780530840599571317780347888599527665821489431789311622732007850 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
17:
10061761519682691760822625914502317557695303684000202277209272151991831687434497083262146983743398652 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
19:
95257646211521138714392509735996186729831587429953571197252099775543639772000250901688632939711539177 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
23:
52808671865491736432264660806735578543451195920441005286852993521622882603115520245673673721307986841 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
29:
61651408543383975831563567145604312902415609116408102036571973103087655646452957943995174315943050887 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
-1
31:
208255002060764228250348419387553535289044326796450864335531785115038114922439568172788294802744983996 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
5:
14302227249204612795726632602314107090818354403617895800718073435275405309610536092826072798349070349 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
11:
53969268668045013567162692117520953093748645695049540512230285737583490235797112475136044597925070226 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
13:
6936854277055007827607795754397515629526450390904464380898285281059546792876085271871888625701768303 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
17:
70899350521978268803784838354365081535577704224219372934976935212244151778666643671527234521693951497 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
19:
91481209484010848692548927522710788318543671934402434601387310002186351809772875955739089109283208296 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
23:
22975848532132793856717267778974827753645129834763037686721302090597761551436482524147333563828506688 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
29:
49576854882741688509615891009817048204765487670895284728609311715050325711101861703087087334790872066 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.3
2
31:
43934507592169488042114283387363935908077576428405660290514539348774798319490158410700357028860224045 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
5:
32021055018176447988713850936135709613441286985781796926649458286331990095425292740227149692721397273 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
11:
97674719522682460391123982016806915962157562193653558620231210399496145216307400769300968153221672816 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
13:
15673735690275879653617883409143613387494339992696175634241126166456218215252409228016826121606827699 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
19:
11786843487236368117672070595362876126301649420335811594412474745068928410954963418197418170080408278 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
23:
38581432734287640199723980207318468946864925040602955792576412124940035080954446717553091282024518405 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
29:
28747923636745298116067049684846651882240560607427066075317070702252979898425492012292159748008287831 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
1/2
31:
17369932556612782854504163969104842002325651928865501135203370841604062500707017542792142824385007976 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
5:
20935849162024142170453160780689374169262284543610097797422387483529969809643282288486803600656011197 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
7:
7518267745633949387511563973342791176386028250988961269372024446256111920927482571955024129190503944 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
11:
74854314035035052733809112524809312841718941045761146965890706146363261052458270067395747043700126544 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
13:
15590651703728015447880845238194654014008805367456929609229097370967421883223811331172833846718495823 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
17:
42836045056013189699005924656798362883221427337534793368161657277142633410659497616300820705529532143 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
19:
21832871197281131201960805655119219430729755569737398831252568996862336920142408810195055496772266144 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
23:
14838455723288156740570022614082167423253719326402825150530182161312125071647289065290856422968496787 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
29:
38363587163400149599562048762240516055688571289300996265961439607961065588490221099258063407011410482 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
-1
31:
134516532954065023423942413491140051824169562460961410409476518133037947406985506984793434868384004061 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
5:
42788515109518037971047474932345267514451914333462239850195319380414263420914536282425798705745726129 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
7:
29190705762325011256004007395869632384765728770577728170610283760470716827255607058205408632200517527 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
11:
80059498459477805097284137776463980624646271960815413236794492168164393287747725497277539999705566806 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
13:
16434906288327003217272763641286721548197325265832846513560745083492279613962028654893744076238294542 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
17:
11531814908845328470509077098891642516926180117603587621482964504852066261291281509033084927109874171 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
19:
83437807722594547717833693615121075041224175156172332003922394137969021260029240079478263124378895799 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
23:
34127527112860376774198383377873538943440288580187353940732612030551648942333121168737536440328716445 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
29:
43698596787851604720196072425484535722537263683192495041344196955375691478488943789838940143826129611 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.4
2
31:
71740663320182437151410377464864086153360817794063880747996276888026680845235868816206153959803591081 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
5:
15074280838124114420684189803007541033230956583557509011183866126900950553337810744415117169383874346 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
11:
13728319239943141676974524343953776771444654851525907657450379755401333028679105204619122176929652281 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
13:
10194482891370207837068546361534086591294741511731705481588978260630310686717842800658458867259816621 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
17:
62757501637550358405160877947087339676896336582586945639686984656418604538816586110635264854516881789 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
19:
26143810737616766666462314804395259855781066884705040603893451307093196113664722766398056906166670244 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
23:
45055564379862212766436344726200072918607574898781356306640791062989536122944471945820573302953216270 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
29:
60135908774143062647080330322090826420606554484899943774835572771188441375789603420277808937753242342 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
1/2
31:
60608576403621590683428126885610440097340692421354038964547679906971196505279634098300736051577486124 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
5:
30059754047728278377067010520718883290172392031144218544848988806791122070784318217697984361137146386 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
7:
27701294771873272655394279109004106862200640570542240769424863354265346659982620145598064594569146458 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
11:
52162871932924589758796761149077899618179192746383822456099059128841336844292602470315010088006303846 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
13:
15270004880960263319490394736174373036785322611650928361310749392571282017897187274050472383411752253 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
17:
70880882341760711230033139019534682772724441638629808529479634363498292123416037218054520350076727973 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
19:
72087307831347643248798914359302872226175413784894782953441410956854169594165642273275679044970219448 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
23:
30594572414630478374163413659250110957034453038773225476121184728312501868220212785766143761457379453 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
29:
20345205382125759435026237288478363151039372298414037812699445291878909941354023991697689830391608203 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
-1
31:
157126913426677337400595012444557794519643849973040966303939885306026820901032468024375559427558612878 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
5:
29882987867526966434126987181866756009297053507253470424475133870226013921413016794074713852743913906 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
7:
32432344684775564107850084631246042138506896992722738078193977584694181354033335304352717736534269691 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
11:
53969268668045013567162692117520953093748645695049540512230285737583490235797112475136044597925070226 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
13:
10456342239997907405376016020829007057513638269145755294017807474944181808730495952215249083187586958 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
17:
71828577613658508708586204400345931512995978059172903466788098258807306538825313610909345605268174590 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
19:
23401492606543986334641413200253094547912672153249076969267072930600498492122983706723567675588134710 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
23:
23882750947670399618256537770859558705585214921443060806317192677214478366698334797851467517821029457 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
29:
3157789586415939334445903209525811578914515037028248386944448588622485959637590763228162311974321513 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
3.6
2
31:
11263512993661796216326154652469977793952503221448813765943989743433316586942218240228826537319339118 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
3:
5456524059380338977906832373656221126493808305187705404623280887127142078494521970795105766493557878 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
5:
5003299083580451310807356337577546248029975364157991747457311400380129604966730874826407664960928968 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
7:
17200007594775677644706005755146949738010028865194950203565253501165716941030045793896544762615732339 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
11:
39000072049906828920592419557663173177879256099813255893619570341133983107257404630535929292396684368 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
13:
4810324063324183901869876195607535156200303535621954817327179523620007048642426697666351620992908644 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
17:
26778337517663126624269875856601637306104249182625841663948440235491882344542984279619255499772194227 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
19:
30006066650823174046799282138523068430698714416674388402934468211874362238802247822325842624276741029 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
23:
42570694743546580692734149677772691303099617629384762431528287698420847023835902564633072280019209168 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
1/2
29:
79127577397808332235004470368001928420975013698951422545846173232567775335457667817881173269380402792 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
3:
5456524059380338977906832373656221126493808305187705404623280887127142078494521970795105766493557878 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
5:
28769143282725400753899580564475711266611105792422851800048191077686395694407392448442127858095094607 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
7:
29353744262019096164652731215151851565755668336318131657995350916919936247962589838342278881882621942 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
11:
51618536695482461348466079892248334238768817790641502076349695065383125636484005666600689656944294391 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
13:
2124232602200346993142964621702005993791081174034084872016064802038221866373540437349358512763765248 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
17:
30053629964802671121001514010679612778530717279324234627208793870404863216892766175922521632811184259 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
19:
36817627682651879210636036282600002103553543219870703047705514219914894564262666929560827104502500647 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
29:
55234770516612318759324742162882177376728903449287309856245071557731205256363986769752011225392445977 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
-1
31:
106626781975181778004114338484857642019042457607714362938656665218683670409348058574119528030954244280 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
3:
5456524059380338977906832373656221126493808305187705404623280887127142078494521970795105766493557878 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
5:
23355194354251315928474197038785106423512917182879833205949876265260797803009254199442181333775573659 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
7:
10267253505292272183087810594075869102178325801696736942245208464063645613774215136348944154221569264 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
11:
62667460124021664480358842440933895332891075136194171617541414481431661583912391732666927724694563790 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
13:
14835257091847210335750021205244453300612162011869496208113926594870282047539534367441105343997408976 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
17:
34066566563727611011388142341786869016724034923705292988894406430446898161359562690285877846946270271 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
19:
38789605802099125055845072801001738290591035501778963841782976801545662960704555092894734134779038340 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
23:
23753105783681629065646824782684127692037925587065320796436523586412403938134009649282958872617908570 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
29:
37842880014874665279849691695377723802696249912795148943167582135052426749178987948065333636605815731 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.4
2
31:
153407969004105415951188464027772286019720824887286778110971443410446722293862994418933177199156361827 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
5:
19726033268391904369025363027859603911349809535008993638343765819188633654482824130963787129232379846 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
7:
36751256259102662883272565432330689877818779088041477272080002800876994490104938017842248307173869337 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
11:
21437774465176389923274818755527687335303371784171699433453066982038433381434287428589487336011213898 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
13:
9290900248045008614243644492463400700205637498849682461141873919584594089505441113964941305378142845 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
17:
41255368084245078749287387003350945387500518428244336972846045098126958664547507280470153831685534426 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
19:
51681971009781270156859169628899956531568137747274439005543181526319195349530373489985817286931712129 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
23:
9969006393325369333435771373173363082769465071189347529742901112970326055095040918431770843627036323 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
1/2
29:
46186815901422416836450594302632567420037574563671560025559823478218651271530619900872270214819730181 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
5:
17720573912792082574934505154827615068734751801856717072897460627670738418488781418406024554566770161 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
7:
4817184453234688726097295578621425979532190867419144735611790019259887866263330271824806066730931367 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
13:
2228168381076117552120119899447544204803098610483476050081888412827289368156545921908444806620472710 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
17:
46801040086949737808068079647969903665012193172628156931877494836528096739930276981660690892057767121 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
19:
100234203461326705640681048870488190233447241526502014401299328368172100147900352020978855624881775160 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
23:
3090080690605039771720644253759334679919458887089712940806837296483118093847019354354681650766097206 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
29:
56693729474357648195081027217679483799637873496230632792360390840236470390390993003660926040421680784 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
-1
31:
38715473462880066465449904130269025537678274501981443737326694011885844611682580471230495972210766650 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
5:
42596760911485426018233693060379418121061473707254325254303356275582082940082818721017270356116666106 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
7:
2746475922476706315849294756148881278816541087508401908758015476514786004929890526939719505090663823 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
11:
86257448678274345853566099292149540990146543673413840497046135567619941218012591943338344061195917971 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
13:
2280010686579288303335565618070257038082274267680980187187148274525992808541970338483181849456101903 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
17:
41490887079141019705395327435408076831509336678545201174849792081456903674492046061191909667389073843 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
19:
66707252228435781344033097284481696871762186659281016156935107719768938289267980479704486490686991840 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
23:
19354474244167129208166158535145776572241894373884769347889342853793686782417454004349399700232899761 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
29:
44293387077295056138072182872886437659198543226182532127489149800308267128080189510200078475412617949 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
4.6
2
31:
243526961827342361287171515388464857757692769761335295188133142196877900420380579734063786088137340968 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
5:
29907736300367104728404233271070805086937400753256642505267288636152658524308836581905831671807931701 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
7:
32954344280106370306452696010587321962967748156731489702785747335449320948488871937143912432765909251 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
11:
96268920835716952330943812790316692533420876455321616626290059583352026816137060593100536939543215126 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
13:
2982810691377400840076663722203237864442363439688655392490410262415800295172520657907428182533303471 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
17:
13756924791832513408468143185873535707140340131917954471587395356523018750804746546766500603385223625 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
19:
58635990665398799754890861124968222013791300343336232449998012191368725939021581785118343161975363254 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
23:
3799860350111337931309079635077554306111841421586680411205613056041863253729749605241933793177005428 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
29:
29225653457544368988435661290029327546142225602462189616918956081594153422620185964081482142250160557 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
1/2
31:
143842723165876513534995454736104821800835803968803522281135559773118586406898981911146462352556307733 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
5:
35184432809239008753709655637253310263453918311297410614802037942403343807444909152087050963130843626 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
7:
35664806911573990386529466138293344528173318150253049992287698338788187681555915772289573848361625657 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
11:
18131763311156283014189243754733258113978849107003784660983922826560698361951524178104391145112162835 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
13:
15967017508614003425195050724780022120094688130222791667594852121421403363280732771314896911660598605 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
17:
48116247800990002212296389098957645392326364627783750271179507224094258888597774467444456238399747566 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
19:
91925917940418570148618379142586730887389328577222889633181112489376056885069705893893621499121238559 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
23:
56009007435836729453966908690888552812879932214631144361119073402250330669167678307366872110570920941 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
29:
24946334648760876406039709027552099609279093720366079371895487918134482800215736983550707313375477227 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
-1
31:
78311722163960593835956506247478077358017716277659864396240900449505894145639432084113486521706851875 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
5:
30539323609189533473832714062963209110150027736430608895508111649197909336337003154746349229238820276 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
7:
21536270719045263908851609739574410813592060829734711613009112765728752089256576767179474249312010232 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
11:
48901201074728053937959168433110324779538469129593723515802705770366864544220799033455558677053973454 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
13:
3942610679518749956930768160581480789056966348168198977139377721239751317469045332322307973703297522 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
17:
73001693230864534213385479307228676672447753767863919092131861378814315304753714754943080879354293988 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
19:
98354657311222561608399236145776697220362085486718879242025654335052959086951505408553204113812405383 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
23:
40274663597222696005286344268795380924476425504798428106812950138630340685660920480912211059795589251 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
29:
45030833966547669282060484019476628124351307292830128186181389457143845250070236396089893800113559886 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
6.6
2
31:
251830306806618153726957826772040828498680735295478167761723876364835765674291599158911494097866185998 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
3:
5638159657636895994447270095008256378099416477742565323485777446566129412645809473154035977429530710 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
11:
81887867299206608223842578909740190530983397709981158258927484668302187354645116161378817182820460669 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
13:
7942537351317754168377083302861043676879735807131061736681584400448184550083700210525380522715035683 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
17:
49748449577499546938412280126498684859324549468938421584882095858056089529060147806041074298648331528 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
19:
19408965809797993516043271395237882965107814451928362857355040606810562261753491275192235988120243641 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
23:
42160267136902669958251475444810443266385034085258551291385006770713341856716978673039379251062076274 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
29:
34331529424708116637440378248557164729133273936661000637611100377352370935004575614552245349879966822 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
1/2
31:
58468578357127505323823091240133859307189147999612224808681991794934202871173439296299186479797418062 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
3:
5638159657636895994447270095008256378099416477742565323485777446566129412645809473154035977429530710 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
7:
11578990541440891677848728241440489039966227488732832526102949232673904231755392142072336350598652981 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
11:
87262923287210973661931223563861561768350861379070594027071232237111696917634062474433982539442444624 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
13:
9954922327446055609827572854900176537937654656342289243127388983408126187151972732953408598691202378 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
17:
75621440553193984474371603442574928550202298243689895077688489040655799638823775470491683329357434560 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
19:
11069932989732009090878951993257249439749024463262142623665931198635776695166508381264997478111001325 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
23:
44507948401649237583061231167346508322025210811384899640613327307758813641682174274737510000136613660 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
29:
55610326083340074768681885723161423890162566725154901216101321557181156583074804588988321487528474390 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
-1
31:
110071627634122650274226343224794885271223369655173352032580684035358182590063792668748323486001943441 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
3:
5638159657636895994447270095008256378099416477742565323485777446566129412645809473154035977429530710 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
7:
31144484020061607996219785764783591652771416125499655723347761463841989282028825732383525593869454590 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
11:
79500530749545590321008120765061000393365591972012436145204160292637251500566901118551441068172400149 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
13:
16015633009095753965118109850262976277947736533572682167860233830215168377104776474148029654442348723 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
17:
45011058775923260070808156915968960973662823328262083020458320207152596205141290782106357296098621611 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
19:
86909333088182794392188735591224529484187265241318321922682930383169468730265335914808260268276735387 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
23:
8218532300617866223882710755260733870376836273097929661814712586294124549172254900409124582106309858 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
29:
53444140121602834532116504816092870306416702369952640841093180426040143942460209235762803068333760281 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
5
2
31:
110107326640453574095099678527575940213595107031465017715557476793521124174346463683726743771749968670 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
3:
2848059093598832429637131838386081805458481397677576307517049606364015451407646625244776789461845486 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
5:
17798840202985088796396363133123458861692324910537057289806097667020771525822393572293211492341876216 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
7:
36143330138300154215724755572382935569400476261703484215385500746282482572066437980170101575285419186 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
11:
4579057057143068074155046779330792010298061332168272566182603633998034394499424191366848626373344694 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
13:
5780967037761401693573701753083691292451510575043495547304832806530098410982889489078895934366545886 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
17:
564314527377555497649831191613427256943164320786240192166701085367153012407700201731820117301495996 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
19:
41492992297550900711626272950067854213324183362793174478513831643414273976635251246040916304438779207 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
23:
14889284965268834925930082400623854011013159814513313251436361397972337244690320885366993618482564272 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
29:
48814796443627099885899250025705987528185762965446242698798197939544348945781302620661785004977246910 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
1/2
31:
61889609349696614520791214600921273821675525439336650445903998461548702635676790605014700659343869425 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
3:
2848059093598832429637131838386081805458481397677576307517049606364015451407646625244776789461845486 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
5:
40585470477894058448063061265549208727993918896911783471930143230662144751547395294849619556540154071 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
7:
8872016109672152001048386302414860470413217241632648248570104754647313366636335374501667906676112641 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
11:
94600545330070292771643328254882138300454838794595328515418634773538626748057943699810580642597728566 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
17:
60903181979840097338355915764857051689702200235454037758962198004680563089092341891980028550680879353 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
19:
61558291991637558733167180262865007647713185871154012136531010562879833040600008612723224214236562048 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
23:
1372955348384797315927637146871017559209708716740732581417764739152987320777929656356580558285501976 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
29:
18098171232694165865020097191252590291048176959344379727339744203056739898241379428003691068291975064 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
-1
31:
65308992151343608113106338866566183246346432400694454274874955378023114433024914460014699756566690122 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
3:
2848059093598832429637131838386081805458481397677576307517049606364015451407646625244776789461845486 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
5:
35847472801453340350812674365750394983815779817526478771789186215212436963557134449374611611863334336 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
7:
34013103416072330810716341543145262309531864557387688926430797587551565234393125202384752649480628119 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
11:
54501051150332210927308926824105445221128741330731905697875946449374569340979143189715246395860531397 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
13:
11882523956225894688908365006435462211969634493486864278618271849139149387478065844712241902498167395 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
17:
78000060049738651826848118668720939749946433230543787675747803851974560542333220609156389492615438846 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
19:
72621203417632189079355850816224328655519437045916992693256019958063981657857951041298769786704544605 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
23:
7276712233340571410436200814781950815099748053037941262814134688212530876910262176433824131039003018 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
29:
10964340923613180061373308849684050109954666480867000233995481824136704851645130349783930255060743008 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
8
2
31:
252045405370994274810735409931930299456943076039306200091721764575018933485427119217651113048862241614 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
3:
1289456089402127270570729669438848683605545860586354312499992159712510213749557750788062029668195188 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
7:
9321273973674092448565556872179428176934902736303647105799520519023267220997171619676676308255645864 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
11:
21647912864747337562170472721286381792565296505183878804532151335867498667536008383625810538786245902 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
17:
5842290250672715312315147687569699372637140839576478259801622836447957375320820011718468489056107974 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
19:
21060423430880613236325372852534359735596001382657369042366148001702919296508186339113741985923751264 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
23:
15673740864224755073976109683938110795891646749745715826906900005586271606274409692487971672966636826 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
29:
29436615288487270683108390586531494198212650774445600917916988448080488458697950288831046347181957968 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
1/2
31:
43795552026244805884960721033376208993517673862292713641623174752784085069697241256554750774887468773 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
3:
1289456089402127270570729669438848683605545860586354312499992159712510213749557750788062029668195188 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
7:
36213659962408731011095070267538254024937029190410515492335829091680966760927643928900809029018981109 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
11:
23965906428936791833385308134605314361913019867230859203215461823515132668886221934040582013993126690 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
13:
17937475669485893241422944429103372976336228734761503650367645696769698870760949696400050749549127580 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
17:
31752377899888423113826158444134191549061950689533793294417368488342332404019690294714888869422797397 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
19:
47415684196197057457027725920557373790520065597657660965956341671518478734273483368897405700694977512 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
23:
14214490037296990738923935754685963307341572621423696219285327299067371841773354608893582611028092942 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
29:
25671992125966094274298290811673224351150999522559961133222522648239012949033420976088073135851854512 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
-1
31:
63569364923267332317684130371872370299755537692382609368735007491569014772285880219237803680915234103 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
3:
1289456089402127270570729669438848683605545860586354312499992159712510213749557750788062029668195188 + O(3^210)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
7:
33106823109774830461768570457753206817925446606424844609893309856779327332674211884359362482168173111 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
11:
60565788800787258851878830824421115873582887011698302824310514923223306732062050348155169935064633647 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
13:
17445579947908791121275264759237431436141685557810039512352324768237048726232920691707663498467771961 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
17:
57147995132303965764255670957318039563826122870518687350760809038847090573028692388311231233600678044 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
19:
14319195340009436223320776586319870730393495717858776164406612496993691884351402091870026919612730437 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
23:
9880730767554763716956514082178311877401497248830391958910850713434719056849329661977359223497300090 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
29:
37379247603328389646824144782687319970091709642018268515489949144597588850914172987351624604566652540 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
10
2
31:
28325509930537891704914851474701468767838318595571007162519943067607434651721649280028723652862842885 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
5:
24401635975657344359594764199373004387051615522945723738240426649393384532155544980727856090837231086 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
7:
12125348275378531523291940044168081736442972138944664641088185638871448542370453240047575500119639765 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
11:
17909933098517216591579692597362580957011597405990324891185399209664774918593780438022526147565971503 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
13:
5737812302835457919266912942195194452561974706599951724322149706423660517545077559971943916382685300 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
17:
49449697431112693941687102049280889200080859639854252597400847704111370795242433789815927785613284660 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
23:
3254203794609385117560715219496969044650651042615466625961173221532222270805878770372605402051426172 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
29:
74398295482878942839299212273008218217083532044812866936699315133030585936064638963434146220249792277 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
1/2
31:
33132481385097651835062863723789617288265484357610060015559286053765944911471203737189574949440774128 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
5:
10568750724037213278319058972979220428853220147177708975029819501405129360072276146616301183527792086 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
7:
23425088656529774155518082843487088853240155423483666991897740509260266554832840359027241128012439052 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
11:
29874142499863968723262036055705208678026135586075831447799251014515574654050655636045122630259461656 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
13:
6522292026594460726330620383010802015593629984601219318009279240855710501385688598513609426902966208 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
17:
78352126150313820993690091684162367226873800402076805471489337307059103855989636310681632974767694242 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
19:
82901920902971863665960290616674225281928159553292625554178331656676109993633544082059190506012876978 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
23:
50464997363142623629787093550751648940774967024783790464105972144932340860592894430431193818156315107 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
29:
60873407567435839051521365182920738874567477311616322769991464810654525919383510581793589558276179934 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
-1
31:
810812418435400142436767266953826354815056104065420922334637883602251877012369763958753689297499083 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
5:
19374725339491209833681051836404088241523579128030641252472361155341741886915624886883869910819967501 + O(5^144)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
7:
34013103416072330810716341543145262309531864557387688926430797587551565234393125202384752649480628119 + O(7^119)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
11:
23415634558116349714405226651348768641089470868286572955995722324418764371518517311232754004709257602 + O(11^97)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
13:
15264594404092247121949519854012755278999801631595104944583637647700600981852106378955783816994913092 + O(13^90)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
17:
48259662966527919613436306763670734255788892810183366819845317936922907051549412307467587244494624695 + O(17^82)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
19:
72368462062938497363598449405636975729025029515172989279738628960988041530515552703183462633296571522 + O(19^79)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
23:
37719466203081704089273614701219343327788101874812072384746294698112583068327570115660441919302884265 + O(23^74)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
29:
17114622408829167321430808128005396163621925105887721723351838377711760119779222079955894953407357086 + O(29^69)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
12
2
31:
256775966484581085867679628508409911334240897578459566199278556591552743949504366898147454332414603096 + O(31^68)
comment: The corresponding local factor is $P_{A,z,p}(T)$.
Definition
The unique $p$-adic unit eigenvalue $u_{A,z,p}\in\mathbb Z_p^\times$ of geometric Frobenius on the hypergeometric Calabi–Yau motive $H_{A,z}$, at a good prime $p$ where such an eigenvalue exists [1] [2].
Parameters
$A$
—   hypergeometric template ($A$ is one of the fourteen cyclotomic numerator multisets specified in (3))
$z$
—   rational fibre ($z\in\mathbb Q\setminus\{0,1\}$)
$p$
—   good rational prime ($p$ is prime and $p\nmid d u v(u-v)$, where $z=u/v$ is reduced and $d$ is the least common multiple of the indices in $A$, and $a_p=\operatorname{Tr}(\operatorname{Frob}_p\mid H_{A,z})$ is not divisible by $p$)
Formulas
(1)
Write $a_p=\operatorname{Tr}(\operatorname{Frob}_p\mid H_{A,z})$ and let $b_p$ be the coefficient of $T^2$ in $P_{A,z,p}(T)$. Then $Q_{A,z,p}(X)=X^4-a_pX^3+b_pX^2-p^3a_pX+p^6$, and $Q_{A,z,p}(u_{A,z,p})=P_{A,z,p}(u_{A,z,p}^{-1})=0$ with $u_{A,z,p}\equiv a_p\pmod p$.
(2)
Let $s_m=\operatorname{Tr}(\operatorname{Frob}_p^m\mid H_{A,z})$ for $m\geq1$. If $p\nmid a_p$, then $s_m$ is a $p$-adic unit and $u_{A,z,p}\equiv s_{m+1}/s_m\pmod{p^m}$. The other three eigenvalues have valuation at least one, which gives this congruence.
Comments
(3)
The motive $H_{A,z}$ has rank four, weight three and Hodge vector $(1,1,1,1)$, with no additional Tate twist. The template $A=(d_1,\ldots,d_k)$ denotes the cyclotomic quotient $\prod_j\Phi_{d_j}/\Phi_1^4$. Its upper multiset consists of all $a/d_j$ with $1\leq a<d_j$ and $\gcd(a,d_j)=1$, including multiplicities; its lower multiset is $(0,0,0,0)$ modulo integers. The fourteen keys are $2.2.2.2$, $2.2.3$, $2.2.4$, $2.2.6$, $3.3$, $3.4$, $3.6$, $4.4$, $4.6$, $6.6$, $5$, $8$, $10$ and $12$. Dots separate cyclotomic indices, not decimal places. This is the complete template class in Table 1 and Section 5 of [1].
(4)
The coordinate $z$ is the classical argument of ${}_4F_3(\alpha;1,1,1;z)$, with singular points $0$, $1$ and $\infty$. It agrees with Sage [3]; PARI and Magma use $t=1/z$ [4]. A mirror parameter or a rescaled factorial-series coordinate is not substituted for $z$.
(5)
The exact local factor $P_{A,z,p}(T)$ is in the Frobenius-polynomial table. The value here is an eigenvalue, so it is a zero of $Q_{A,z,p}(X)=X^4P_{A,z,p}(1/X)$; its reciprocal is a zero of $P_{A,z,p}$. The motive is the rank-four hypergeometric summand. The singular fibre $z=1$ is excluded.
(6)
The Newton-over-Hodge inequality for $(1,1,1,1)$ gives $p\mid b_p$ [2]. Thus $Q_{A,z,p}(X)\equiv X^3(X-a_p)\pmod p$. When $p\nmid a_p$, the nonzero root $a_p$ is simple and Hensel's lemma gives a unique lift in $\mathbb Z_p^\times$. When $p\mid a_p$, all four roots have positive valuation. Existence of a unit root does not assert that the full Newton polygon is ordinary.
(7)
The notation $r+O(p^{N_p})$ specifies a residue class modulo $p^{N_p}$ containing the eigenvalue. Here $N_p$ is the least integer with $p^{N_p}\geq10^{100}$, so the residue carries at least 100 decimal digits of information. This is $p$-adic precision, rather than real significant figures. A short integer residue is not a claim that the eigenvalue is that exact integer.
(8)
The fibre coordinate can be lifted from $\mathbb F_p^\times$ using Teichmüller representatives when studying $p$-adic periods. That lift of the coordinate is a different object from the Frobenius eigenvalue $u_{A,z,p}$.
(9)
Distinct rational fibres with the same reduction modulo $p$ have the same local factor and the same unit eigenvalue. Their global-fibre identities are retained.
Programs
(P1)
Sage
import numberdb.sage as numberdb
from sage.rings.integer_ring import ZZ
from sage.rings.rational_field import QQ
from sage.rings.padics.factory import Qp
from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
from sage.symbolic.ring import SR
from sage.modular.hypergeometric_motive import HypergeometricData
H = HypergeometricData(cyclotomic=([5], [1,1,1,1]))
z, p = QQ(2), ZZ(7)
P = H.euler_factor(z, p)
R = PolynomialRing(ZZ, 'X')
Q = R(list(reversed(P.list())))
a = -P[1]
assert a % p != 0
N = 1
while p**N < 10**100:
    N += 1
K = Qp(p, prec=N, print_mode='terse')
u = K(a)
for _ in range(N.bit_length()):
    u -= Q(u)/Q.derivative()(u)
print(u.add_bigoh(N))
References
[1]
Ling Long, Fang-Ting Tu, Noriko Yui and Wadim Zudilin, Supercongruences for rigid hypergeometric Calabi–Yau threefolds, Table 1 and Section 5. (arXiv)
[2]
David P. Roberts and Fernando Rodriguez Villegas, Hypergeometric Motives, Sections 10–11. (arXiv)
Links
Similar tables
Frobenius_polynomials_of_hypergeometric_Calabi_Yau_motives —   holds the exact local factors whose unique unit eigenvalues are tabulated here
Unit_roots_alpha_of_the_Frobenius_polynomials_x_2-ax_p —   holds the weight-one elliptic analogue, for quadratic Frobenius factors
Teichmueller_representatives_in_Zp —   holds canonical multiplicative lifts of nonzero residue classes, used as coordinates in p-adic period calculations
Data properties
Entries are of type: p-adic number
How well the digits are known: proven
Table is complete: no (it holds all 358 unit eigenvalues among the 390 factors for the fourteen templates at $z=1/2,-1,2$ and all good primes $p\leq31$. These fibres are all rational solutions of $z,1-z\in\mathbb Z[1/2]^\times$, so they introduce no potentially bad prime outside $2$ beyond the template wild primes. The allowed extra-prime set $\{2\}$ and prime cutoff are noncanonical coverage choices that give every template several reductions, including different splitting classes, before increasing prime depth. Exactly the 32 factors with $p\mid a_p$ are omitted because they have no unit eigenvalue; the attached argument-selection note explains the selection)
How they were obtained:

Exact integer Newton iteration lifts the simple root $a_p\bmod p$ of $Q_{A,z,p}$ modulo successively squared powers of $p$. The final residue $r$ satisfies $Q_{A,z,p}(r)\equiv0\pmod{p^{N_p}}$ and $Q_{A,z,p}^{\prime}(r)\not\equiv0\pmod p$, which certify by Hensel's lemma that the stated residue class contains a unique root. The actual modulus is retained in every stored value.

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The attached input is a frozen read of the exact factors in the polynomial companion. Every factor was independently recomputed with PARI at $1/z$, and every trace modulo $p$ was compared with the truncated classical hypergeometric series. Each unit root was compared at full precision with the power-sum ratio in (2), computed by integer Newton identities without root lifting. An exactly known root checks both methods before use. Exhaustive lifts through $p^4$, derivative certificates and the reciprocal-zero relation were also checked. The checks are repeated on values read from this draft. The attached numerical evidence records the controls, software versions and results.



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