| Label |
Dimension |
Base field |
Base char. |
Simple |
Geom. simple |
Primitive |
Ordinary |
Almost ordinary |
Supersingular |
Princ. polarizable |
Jacobian |
L-polynomial |
Newton slopes |
Newton elevation |
$p$-rank |
$p$-corank |
Angle rank |
Angle corank |
$\mathbb{F}_q$ points on curve |
$\mathbb{F}_{q^k}$ points on curve |
$\mathbb{F}_q$ points on variety |
$\mathbb{F}_{q^k}$ points on variety |
Jacobians |
Hyperelliptic Jacobians |
Num. twists |
Max. twist degree |
End. degree |
Number fields |
Galois groups |
Isogeny factors |
| 2.243.ack_cdr |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$182$ |
$[182, 58100, 14334524, 3486569348, 847285438082, 205891086040550, 50031544441963574, 12157665449879954948, 2954312706426007289732, 717897987690212974740500]$ |
$45369$ |
$[45369, 3431030625, 205684817824656, 12156915630659765625, 717895300637162526680169, 42391148793086358941369760000, 2503155472120708839409367118052881, 147808829302775345318008410290253515625, 8727963567718936179939369684598850141779344, 515377520730834255423914383320821735466341390625]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
1.243.abf 2 |
| 2.243.aci_cbh |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 29 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$184$ |
$[184, 58220, 14338468, 3486668948, 847287583144, 205891127215910, 50031545160853048, 12157665461379173348, 2954312706593971455004, 717897987692414451871100]$ |
$45795$ |
$[45795, 3438059625, 205741381552560, 12157262903676515625, 717897118120360293788475, 42391157270726895599064096000, 2503155508087859742868364743199715, 147808829442578995613076279318584015625, 8727963568215154847637160371238875289218480, 515377520732414691425919952288551094452468365625]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-131}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.abd |
| 2.243.ach_cac |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 28 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$185$ |
$[185, 58277, 14340176, 3486706169, 847288218215, 205891135393814, 50031545217363797, 12157665460583872241, 2954312706551060180528, 717897987691300643393957]$ |
$46008$ |
$[46008, 3441398400, 205765877203488, 12157392681276480000, 717897656207777761980648, 42391158954484620007426406400, 2503155510915179811475315366858824, 147808829432909990818601869398831360000, 8727963568088381524201101333297070458472992, 515377520731615090561505778907107249149363472000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-47}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.abc |
| 2.243.ach_cad |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 59 x + 1355 x^{2} - 14337 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$185$ |
$[185, 58279, 14340353, 3486714675, 847288517640, 205891144032043, 50031545433188511, 12157665465400016339, 2954312706648817373099, 717897987693125115699814]$ |
$46009$ |
$[46009, 3441519209, 205768419749419, 12157422341643401581, 717897909908009564825264, 42391160733019685573177811281, 2503155521713223822604281070117839, 147808829491463059590241134594266978709, 8727963568377186840375478978525623212572501, 515377520732924875558480648929276428281528673024]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.143725.1 |
$D_{4}$ |
simple |
| 2.243.acg_byx |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
|
|
✓ |
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 27 x + 243 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$186$ |
$[186, 58332, 14341716, 3486735924, 847288618086, 205891137765414, 50031545157902130, 12157665457955226276, 2954312706488420494188, 717897987690185493145932]$ |
$46221$ |
$[46221, 3444620025, 205787963446128, 12157496427346895625, 717897995013287241115221, 42391159442775974272146566400, 2503155507940220756837344600103277, 147808829400951792577893508444275575625, 8727963567903324302916390190699106345481072, 515377520730814526442475475303464337023236587625]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$6$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-3}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.abb |
| 2.243.acg_byy |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 58 x + 1324 x^{2} - 14094 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$186$ |
$[186, 58334, 14341890, 3486744086, 847288896486, 205891145488862, 50031545342012574, 12157665461843927774, 2954312706562559085306, 717897987691476783066734]$ |
$46222$ |
$[46222, 3444740772, 205790462781574, 12157524888063167184, 717898230899122914498022, 42391161032965655205389768388, 2503155517151550796792615269832558, 147808829448229324470242683260393157632, 8727963568122352884701984570699936980713598, 515377520731741540878145190091703230585739419972]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.7488.1 |
$D_{4}$ |
simple |
| 2.243.acg_byz |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 58 x + 1325 x^{2} - 14094 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$186$ |
$[186, 58336, 14342064, 3486752244, 847289174306, 205891153167646, 50031545523687830, 12157665465627182948, 2954312706632844946848, 717897987692644869473296]$ |
$46223$ |
$[46223, 3444861521, 205792962124964, 12157553334846324841, 717898466293546771418023, 42391162613959427202505303952, 2503155526241044626498751702350799, 147808829494224875235693386605180829193, 8727963568329999298548145155024882380610308, 515377520732580107758866143272825684175651811041]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.634432.1 |
$D_{4}$ |
simple |
| 2.243.acg_bzb |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 29 x + 243 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$186$ |
$[186, 58340, 14342412, 3486768548, 847289728206, 205891168391270, 50031545879742522, 12157665472878391748, 2954312706761935620276, 717897987694615929001700]$ |
$46225$ |
$[46225, 3445103025, 205797960835600, 12157610186613425625, 717898935608159351880625, 42391165748369127667029561600, 2503155544055011163129438196343225, 147808829582382646040376172157813075625, 8727963568711373515363163018694420167491600, 515377520733995127427930367757837008248051700625]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
1.243.abd 2 |
| 2.243.acf_bxs |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 26 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$187$ |
$[187, 58385, 14343094, 3486758873, 847288820857, 205891135866530, 50031545030559979, 12157665454718338673, 2954312706431718774802, 717897987689497812129425]$ |
$46434$ |
$[46434, 3447724500, 205807726330776, 12157576443094500000, 717898166818524336562494, 42391159051812641521426008000, 2503155501569096227911411129153486, 147808829361598795986903247984362000000, 8727963567735809692854589590379286925552504, 515377520730320841624551776106258140859425612500]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-74}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.aba |
| 2.243.acf_bxu |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1294 x^{2} - 13851 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$187$ |
$[187, 58389, 14343436, 3486774521, 847289337277, 205891149605862, 50031545341577287, 12157665460889020529, 2954312706540937526452, 717897987691243702749909]$ |
$46436$ |
$[46436, 3447965872, 205812638597072, 12157631007105115584, 717898604376423493652876, 42391161880619582003967056128, 2503155517129772759686346425100252, 147808829436619881647820499566214678272, 8727963568058476038643466002677213504028112, 515377520731574212987725165117758998824283162672]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.749377.1 |
$D_{4}$ |
simple |
| 2.243.acf_bxv |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1295 x^{2} - 13851 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$187$ |
$[187, 58391, 14343607, 3486782339, 847289594632, 205891156411091, 50031545493662521, 12157665463830575123, 2954312706590475854185, 717897987691960932748646]$ |
$46437$ |
$[46437, 3448086561, 205815094741863, 12157658268209658621, 717898822430962619372592, 42391163281756061760073984377, 2503155524738832043239846934098627, 147808829472382318336651833710279524533, 8727963568204827749726063438803285078030281, 515377520732089110960530229791076943068149711616]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2354677.1 |
$D_{4}$ |
simple |
| 2.243.acf_bxx |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1297 x^{2} - 13851 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$187$ |
$[187, 58395, 14343949, 3486797963, 847290107632, 205891169892735, 50031545790998119, 12157665469427360483, 2954312706679501137517, 717897987693089113765350]$ |
$46439$ |
$[46439, 3448327945, 205820007054761, 12157712748617370525, 717899257091220340596944, 42391166057507394349605466105, 2503155539614991523926410512563981, 147808829540426162410567962737665197525, 8727963568467836275481698823561699507520779, 515377520732899029842174759352513861133497568000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.526525.1 |
$D_{4}$ |
simple |
| 2.243.acf_bxy |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 29 x + 243 x^{2} )( 1 - 28 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$187$ |
$[187, 58397, 14344120, 3486805769, 847290363277, 205891176569174, 50031545936253271, 12157665472083090641, 2954312706719024345800, 717897987693502120524557]$ |
$46440$ |
$[46440, 3448448640, 205822463222880, 12157739967920601600, 717899473696939086742200, 42391167432127188803533117440, 2503155546882331272361371443958360, 147808829572713641236756421114905651200, 8727963568584600191919896424354496317548640, 515377520733195526563513742352502864217620931200]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \), \(\Q(\sqrt{-47}) \) |
$C_2$, $C_2$ |
1.243.abd $\times$ 1.243.abc |
| 2.243.ace_bwn |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 25 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$188$ |
$[188, 58436, 14344316, 3486775652, 847288861388, 205891131005414, 50031544872384116, 12157665451685114948, 2954312706394075019588, 717897987689350493333636]$ |
$46647$ |
$[46647, 3450711825, 205825251907728, 12157634946045785625, 717898201159914696700647, 42391158050952076975170566400, 2503155493655313456617340638322303, 147808829324721876689796662825328515625, 8727963567624598268505929659770572943856272, 515377520730215081757505786812256216164847496625]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-347}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.az |
| 2.243.ace_bwo |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1262 x^{2} - 13608 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$188$ |
$[188, 58438, 14344484, 3486783150, 847289101068, 205891137141814, 50031545005406964, 12157665454210162910, 2954312706437180753756, 717897987690033002364838]$ |
$46648$ |
$[46648, 3450832448, 205827664835128, 12157661091180258304, 717898404238478971943288, 42391159314382514979785078336, 2503155500310652079961662628823544, 147808829355420565072952951878469173248, 8727963567751946086679926589490326560797112, 515377520730705053617586052157450786380413530688]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.116992.1 |
$D_{4}$ |
simple |
| 2.243.ace_bwq |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1264 x^{2} - 13608 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$188$ |
$[188, 58442, 14344820, 3486798134, 847289578748, 205891149290714, 50031545265036404, 12157665458998586846, 2954312706514463772380, 717897987691133634107882]$ |
$46650$ |
$[46650, 3451073700, 205832490712650, 12157713339645450000, 717898808972201175068250, 42391161815733507672953993700, 2503155513300314140635651507052650, 147808829413636621355812770982502400000, 8727963567980264290596194957534262562611450, 515377520731495194931105323089175433217355838500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.8241408.2 |
$D_{4}$ |
simple |
| 2.243.ace_bwr |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1265 x^{2} - 13608 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$188$ |
$[188, 58444, 14344988, 3486805620, 847289816748, 205891155303238, 50031545391647700, 12157665461262443684, 2954312706548675193764, 717897987691553646133564]$ |
$46651$ |
$[46651, 3451194329, 205834903662784, 12157739442976229641, 717899010627359245105091, 42391163053659003960203227136, 2503155519634872926581053427137611, 147808829441159835439349644095997523529, 8727963568081335527498747889877473559957696, 515377520731796720719148255198413612004624584649]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.445225.1 |
$D_{4}$ |
simple |
| 2.243.ace_bwt |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1267 x^{2} - 13608 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$188$ |
$[188, 58448, 14345324, 3486820580, 847290291068, 205891167204494, 50031545638475204, 12157665465530648900, 2954312706608323112276, 717897987692137773940688]$ |
$46653$ |
$[46653, 3451435593, 205839729585828, 12157791607834308249, 717899412514269678651213, 42391165504022350416193952016, 2503155531984034381234655685411669, 147808829493051246573470528180803363113, 8727963568257554131078156697704352369447172, 515377520732216064896437194503872931275661553513]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.3573648.4 |
$D_{4}$ |
simple |
| 2.243.ace_bwu |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1268 x^{2} - 13608 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$188$ |
$[188, 58450, 14345492, 3486828054, 847290527388, 205891173093250, 50031545758696116, 12157665467535477854, 2954312706633793673756, 717897987692303769567250]$ |
$46654$ |
$[46654, 3451556228, 205842142558750, 12157817669361667984, 717899612746022185225454, 42391166716465142186374602500, 2503155537998872398563921782748846, 147808829517425286306487798118454595584, 8727963568332802134503103494972943260158750, 515377520732335232822712101869977815827749778628]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1812736.3 |
$D_{4}$ |
simple |
| 2.243.ace_bwv |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 29 x + 243 x^{2} )( 1 - 27 x + 243 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$188$ |
$[188, 58452, 14345660, 3486835524, 847290763148, 205891178940774, 50031545876791604, 12157665469454444676, 2954312706656384659460, 717897987692386970276532]$ |
$46655$ |
$[46655, 3451676865, 205844555539280, 12157843716954615225, 717899812503306313963775, 42391167920418640719737053440, 2503155543907372174977034164409655, 147808829540755442965820686112536110825, 8727963568399542970624664059127534203772240, 515377520732394962444480983771091742136176981825]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$6$ |
\(\Q(\sqrt{-131}) \), \(\Q(\sqrt{-3}) \) |
$C_2$, $C_2$ |
1.243.abd $\times$ 1.243.abb |
| 2.243.ace_bww |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 243 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$188$ |
$[188, 58454, 14345828, 3486842990, 847290998348, 205891184747078, 50031545992764020, 12157665471287789534, 2954312706676113071324, 717897987692388312047414]$ |
$46656$ |
$[46656, 3451797504, 205846968527424, 12157869750613180416, 717900011786122136778816, 42391169115885316818150506496, 2503155549709651384786769444114496, 147808829563044636433769173922793652224, 8727963568457826868478471207491727076680256, 515377520732395925699098357516492475795943604224]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-47}) \) |
$C_2$ |
1.243.abc 2 |
| 2.243.acd_bvh |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1229 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58483, 14345223, 3486779691, 847288548944, 205891118787727, 50031544596106493, 12157665447221607683, 2954312706343672236939, 717897987689068910709478]$ |
$46859$ |
$[46859, 3453461441, 205838256504821, 12157649026909047181, 717897936429501708502864, 42391155535438784454686141201, 2503155479832717169370156422900081, 147808829270456048609817969716912366325, 8727963567475692687285283413445175430343559, 515377520730012934158254314145165385861457738496]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2598325.1 |
$D_{4}$ |
simple |
| 2.243.acd_bvj |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1231 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58487, 14345553, 3486794051, 847288993344, 205891129736243, 50031544823774703, 12157665451383812243, 2954312706413425248399, 717897987690201609874022]$ |
$46861$ |
$[46861, 3453702561, 205842995957119, 12157699099249617021, 717898312965197954478736, 42391157789641224895201089081, 2503155491223309460085146899905419, 147808829321058739201441373259191596725, 8727963567681764895354225591913987584988801, 515377520730826096609139083902752567493654602496]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.194725.1 |
$D_{4}$ |
simple |
| 2.243.acd_bvk |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1232 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58489, 14345718, 3486801225, 847289214719, 205891135150978, 50031544934604653, 12157665453345923729, 2954312706444370067634, 717897987690655434292489]$ |
$46862$ |
$[46862, 3453823124, 205845365694344, 12157724114516927776, 717898500534050271661282, 42391158904487199011598716096, 2503155496768303094966777629478578, 147808829344913434233279707612043821184, 8727963567773185568018890866381461066342696, 515377520731151896245921204704036847237125239124]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.18867544.1 |
$D_{4}$ |
simple |
| 2.243.acd_bvm |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1234 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58493, 14346048, 3486815561, 847289655819, 205891145861462, 50031545150267793, 12157665457033321553, 2954312706498476528064, 717897987691342357207853]$ |
$46864$ |
$[46864, 3454064256, 205850105190976, 12157774103245748736, 717898874273763630274864, 42391161109681008985381902336, 2503155507558263208617180023636336, 147808829389743583380040562876528486400, 8727963567933032971568638358482294859942464, 515377520731645036824559119405241214795459834496]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.4927725.3 |
$D_{4}$ |
simple |
| 2.243.acd_bvn |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1235 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58495, 14346213, 3486822723, 847289875544, 205891151157235, 50031545255105603, 12157665458759070323, 2954312706521670211599, 717897987691577180909350]$ |
$46865$ |
$[46865, 3454184825, 205852474950395, 12157799076707318125, 717899060444624806493200, 42391162200033786423547233425, 2503155512803460833323928451711455, 147808829410724659588674928270387543125, 8727963568001554365546030631377359260287485, 515377520731813616287325662120211917084304480000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.18115981.2 |
$D_{4}$ |
simple |
| 2.243.acd_bvp |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1237 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58499, 14346543, 3486837035, 847290313344, 205891161629903, 50031545458805253, 12157665461975823299, 2954312706560418502059, 717897987691833854419814]$ |
$46867$ |
$[46867, 3454425969, 205857214491469, 12157848981824922861, 717899431388356490831632, 42391164356263440157627257921, 2503155522994869083351571603235993, 147808829449832866133979923194705858869, 8727963568116028932407374082330677027952671, 515377520731997881683981007500378181832870241024]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.12537189.1 |
$D_{4}$ |
simple |
| 2.243.acd_bvq |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1238 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58501, 14346708, 3486844185, 847290531419, 205891166806822, 50031545557671713, 12157665463467289649, 2954312706576005080044, 717897987691857420321061]$ |
$46868$ |
$[46868, 3454546544, 205859584273136, 12157873913481017536, 717899616161227134627868, 42391165422145258036927421696, 2503155527941310854615344358153132, 147808829467965615062961449957283558144, 8727963568162076557800232738509225727015664, 515377520732014799597064373968580362439914647024]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2303041.2 |
$D_{4}$ |
simple |
| 2.243.acd_bvs |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 29 x + 243 x^{2} )( 1 - 26 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58505, 14347038, 3486858473, 847290965919, 205891177041890, 50031545749449453, 12157665466217557073, 2954312706599682940074, 717897987691699289260025]$ |
$46870$ |
$[46870, 3454787700, 205864323858760, 12157923734987940000, 717899984308978365777850, 42391167529455229781784196800, 2503155537536247554506168743041290, 147808829501402446337608748169473040000, 8727963568232028360553339601841558113480680, 515377520731901277626555770659854558050771192500]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \), \(\Q(\sqrt{-74}) \) |
$C_2$, $C_2$ |
1.243.abd $\times$ 1.243.aba |
| 2.243.acd_bvt |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1241 x^{2} - 13365 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$189$ |
$[189, 58507, 14347203, 3486865611, 847291182344, 205891182100063, 50031545842365353, 12157665467476820003, 2954312706607806121899, 717897987691519299282022]$ |
$46871$ |
$[46871, 3454908281, 205866693662729, 12157948624838827261, 717900167683859089698736, 42391168570888325233347995561, 2503155542184973629081056961683629, 147808829516712143774184602410000936725, 8727963568256026779839092935642207840207611, 515377520731772063183543499281525778690646090496]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1055725.1 |
$D_{4}$ |
simple |
| 2.243.acd_bvu |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 28 x + 243 x^{2} )( 1 - 27 x + 243 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$189$ |
$[189, 58509, 14347368, 3486872745, 847291398219, 205891187118678, 50031545933302353, 12157665468659143569, 2954312706613473384984, 717897987691273161799389]$ |
$46872$ |
$[46872, 3455028864, 205869063474144, 12157973500754704896, 717900350592743310476232, 42391169604176788129071568896, 2503155546734692284042208825607208, 147808829531086438164924003966299695104, 8727963568272769647185926791038391250761696, 515377520731595361580066840998880892078493047424]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$6$ |
\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-3}) \) |
$C_2$, $C_2$ |
1.243.abc $\times$ 1.243.abb |
| 2.243.acc_buc |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1198 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58530, 14346154, 3486786254, 847288373950, 205891111726770, 50031544468178890, 12157665446193813854, 2954312706358587195262, 717897987689806361467650]$ |
$47072$ |
$[47072, 3456214528, 205851608810336, 12157671910151798784, 717897788159473411425632, 42391154081650566923148121600, 2503155473432301586752464212948448, 147808829257960475082539034454710288384, 8727963567519756138175130222457105811023584, 515377520730542348573566794853170440622994544128]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.108664.1 |
$D_{4}$ |
simple |
| 2.243.acc_bud |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 23 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58532, 14346316, 3486793124, 847288579690, 205891116605414, 50031544565761102, 12157665447928180676, 2954312706387741577588, 717897987690306450144932]$ |
$47073$ |
$[47073, 3456335025, 205853935339728, 12157695865264145625, 717897962480854676711073, 42391155086120106401730566400, 2503155478314490404016321643236329, 147808829279046326676393718002701075625, 8727963567605887300329522224899021908760272, 515377520730901361228654721567956089135356212625]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-443}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.ax |
| 2.243.acc_buf |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1201 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58536, 14346640, 3486806852, 847288989550, 205891126248414, 50031544755307690, 12157665451180990148, 2954312706439147936960, 717897987691115847692136]$ |
$47075$ |
$[47075, 3456576025, 205858588420100, 12157743733680785625, 717898309751040639837875, 42391157071528319270901638800, 2503155487797799032171399716691275, 147808829318592896019083085740832515625, 8727963567757757761014197100844539272243300, 515377520731482426099034441842574514217719517625]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.36430912.1 |
$D_{4}$ |
simple |
| 2.243.acc_bug |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1202 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58538, 14346802, 3486813710, 847289193670, 205891131012794, 50031544847276602, 12157665452699877470, 2954312706461430024622, 717897987691426737992138]$ |
$47076$ |
$[47076, 3456696528, 205860914971092, 12157767646985136384, 717898482699845464421076, 42391158052471934222880534096, 2503155492399145786320873449268708, 147808829337059019941457546880391712768, 8727963567823586015720002203308686291088196, 515377520731705613619798374531019673767614737488]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2533648.3 |
$D_{4}$ |
simple |
| 2.243.acc_bui |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1204 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58542, 14347126, 3486827414, 847289600290, 205891140427374, 50031545025617002, 12157665455523728606, 2954312706499227204958, 717897987691864844259582]$ |
$47078$ |
$[47078, 3456937540, 205865568094718, 12157815431786043600, 717898827224879117562398, 42391159990850535068164851940, 2503155501321791532914857940553734, 147808829371390457345363107536835507200, 8727963567935250705854084967027820188817622, 515377520732020129227590770657953086324763033700]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.42104128.1 |
$D_{4}$ |
simple |
| 2.243.acc_buj |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1205 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58544, 14347288, 3486834260, 847289802790, 205891145077598, 50031545111993026, 12157665456829136804, 2954312706514772338264, 717897987691993632889664]$ |
$47079$ |
$[47079, 3457058049, 205867894667364, 12157839303282657801, 717898998801108073727439, 42391160948290462525315487376, 2503155505643317468622062288267479, 147808829387261173499032125203505236169, 8727963567981175890703270228661941904497476, 515377520732112586325963844715069309077822852849]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.40206400.2 |
$D_{4}$ |
simple |
| 2.243.acc_bul |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1207 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58548, 14347612, 3486847940, 847290206170, 205891154263974, 50031545279168062, 12157665459228029060, 2954312706539230705252, 717897987692074601843988]$ |
$47081$ |
$[47081, 3457299073, 205872547834352, 12157887004468351929, 717899340580990565347001, 42391162839683925421330360576, 2503155514007342823019231524287393, 147808829416426103013395222657373184233, 8727963568053433555074929414726130378611696, 515377520732170713775337958632894432860654797313]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2041408.2 |
$D_{4}$ |
simple |
| 2.243.acc_bum |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1208 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58550, 14347774, 3486854774, 847290407050, 205891158800150, 50031545359971610, 12157665460321957214, 2954312706548173909582, 717897987692028346067750]$ |
$47082$ |
$[47082, 3457419588, 205874874428706, 12157910834157489744, 717899510784644229275682, 42391163773642402426510347300, 2503155518050069184976384540015018, 147808829429725715544825482591728088064, 8727963568079854577263696507694807680375194, 515377520732137506846657400158640666184946753828]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.27662656.1 |
$D_{4}$ |
simple |
| 2.243.acc_buo |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1210 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58554, 14348098, 3486868430, 847290807190, 205891167758538, 50031545516022106, 12157665462299887454, 2954312706559563199054, 717897987691766252807514]$ |
$47084$ |
$[47084, 3457660624, 205879527639164, 12157958451728491776, 717899849819376715642364, 42391165618095201470107936336, 2503155525857516636581467911956844, 147808829453772729706271819592247332864, 8727963568113502099869570766486079037090956, 515377520731949350622546393228247684094641465424]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1051600.1 |
$D_{4}$ |
simple |
| 2.243.acc_bup |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 29 x + 243 x^{2} )( 1 - 25 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58556, 14348260, 3486875252, 847291006450, 205891172180774, 50031545591273590, 12157665463184333348, 2954312706562039184860, 717897987691551970464236]$ |
$47085$ |
$[47085, 3457781145, 205881854255280, 12157982239610414025, 717900018650455667423925, 42391166528594465077327453440, 2503155529622464669501135300644045, 147808829464525527005622460940603015625, 8727963568120816936198356869310621124056240, 515377520731795517759509457046892796341110033225]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \), \(\Q(\sqrt{-347}) \) |
$C_2$, $C_2$ |
1.243.abd $\times$ 1.243.az |
| 2.243.acc_bur |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1213 x^{2} - 13122 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58560, 14348584, 3486888884, 847291403350, 205891180911390, 50031545736240370, 12157665464745295844, 2954312706560628502792, 717897987690960811258800]$ |
$47087$ |
$[47087, 3458022193, 205886507509316, 12158029773567246249, 717900354940039312631207, 42391168326151074387735437200, 2503155536875376707759802564247503, 147808829483503186838163198351335579529, 8727963568116649340243556769781089890188324, 515377520731371125755522486121600179383444327553]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.3343936.1 |
$D_{4}$ |
simple |
| 2.243.acc_bus |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 243 x^{2} )( 1 - 26 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$190$ |
$[190, 58562, 14348746, 3486895694, 847291600990, 205891185219794, 50031545805960202, 12157665465422255966, 2954312706556771665598, 717897987690585480782882]$ |
$47088$ |
$[47088, 3458142720, 205888834147248, 12158053519642214400, 717900522398544136272048, 42391169213213361662227653120, 2503155540363567656375143071957744, 147808829491733441539286366317137100800, 8727963568105255037117035476796248936661872, 515377520731101676762142393832589463805002457600]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-74}) \) |
$C_2$, $C_2$ |
1.243.abc $\times$ 1.243.aba |
| 2.243.acc_but |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
|
|
|
✓ |
✓ |
|
$( 1 - 27 x + 243 x^{2} )^{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]$ |
$2$ |
$0$ |
$2$ |
$0$ |
$2$ |
$190$ |
$[190, 58564, 14348908, 3486902500, 847291798090, 205891189490278, 50031545873840686, 12157665466030497604, 2954312706550833698644, 717897987690158011551364]$ |
$47089$ |
$[47089, 3458263249, 205891160792464, 12158077251781589401, 717900689399524380990289, 42391170092468265064479191296, 2503155543759733186833338049518809, 147808829499128239902988613619116519209, 8727963568087712425897306104889829007438736, 515377520730794797461036568041344978580058891249]$ |
$None$ |
$None$ |
$9$ |
$24$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
1.243.abb 2 |
| 2.243.acb_bsy |
$2$ |
$\F_{3^{5}}$ |
$3$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 243 x^{2} )( 1 - 22 x + 243 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$191$ |
$[191, 58577, 14347106, 3486794969, 847288312061, 205891108713314, 50031544449630935, 12157665447495817841, 2954312706412989486998, 717897987691067647237457]$ |
$47286$ |
$[47286, 3458970900, 205865265295368, 12157702298182980000, 717897735722275794043146, 42391153461206884529324606400, 2503155472504318754552312003472282, 147808829273789803973518179055593360000, 8727963567680477519911753784750267964269352, 515377520731447823089614683959442743451147284500]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-122}) \) |
$C_2$, $C_2$ |
1.243.abf $\times$ 1.243.aw |
| 2.243.acb_bsz |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 53 x + 1169 x^{2} - 12879 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$191$ |
$[191, 58579, 14347265, 3486801531, 847288501536, 205891113003607, 50031544530940779, 12157665448866037379, 2954312706435275657921, 717897987691452440736934]$ |
$47287$ |
$[47287, 3459091337, 205867548643009, 12157725179238206269, 717897896262439068938672, 42391154344540148861718563273, 2503155476572375856249423870050133, 147808829290448474712435935271225644757, 8727963567746317837848118822396428252164443, 515377520731724065568566174775894739365997231872]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.51445933.1 |
$D_{4}$ |
simple |
| 2.243.acb_btb |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 53 x + 1171 x^{2} - 12879 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$191$ |
$[191, 58583, 14347583, 3486814643, 847288878896, 205891121474603, 50031544688322689, 12157665451411693331, 2954312706473852551469, 717897987692063152534118]$ |
$47289$ |
$[47289, 3459332217, 205872115359339, 12157770899538670989, 717898215995604564747024, 42391156088643084830061818721, 2503155484446435940064873477288367, 147808829321397708133213195226610813525, 8727963567860286044632589519361565439658261, 515377520732162494338824122192766553796637559552]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.72848061.4 |
$D_{4}$ |
simple |
| 2.243.acb_btc |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 53 x + 1172 x^{2} - 12879 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$191$ |
$[191, 58585, 14347742, 3486821193, 847289066781, 205891125655330, 50031544764399207, 12157665452587556753, 2954312706490171472426, 717897987692290510376425]$ |
$47290$ |
$[47290, 3459452660, 205874398728040, 12157793738783965600, 717898375188606905429750, 42391156949417698011552347840, 2503155488252661662768896021930790, 147808829335693462235586462949665321600, 8727963567908497240171279556178634415292040, 515377520732325714076302132273045141778210296500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.78652600.1 |
$D_{4}$ |
simple |
| 2.243.acb_bte |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 53 x + 1174 x^{2} - 12879 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$191$ |
$[191, 58589, 14348060, 3486834281, 847289440961, 205891133907302, 50031544911334499, 12157665454746421649, 2954312706516940672676, 717897987692592818276909]$ |
$47292$ |
$[47292, 3459693552, 205878965486544, 12157839375464819904, 717898692227451072830772, 42391158648425568635924406528, 2503155495604061321238807146032548, 147808829361940219398833437832947421952, 8727963567987581828610746996034300047586768, 515377520732542740309722535197482394823600565872]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.20510937.2 |
$D_{4}$ |
simple |
| 2.243.acb_btf |
$2$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 53 x + 1175 x^{2} - 12879 x^{3} + 59049 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$191$ |
$[191, 58591, 14348219, 3486840819, 847289627256, 205891137978571, 50031544982197725, 12157665455729849843, 2954312706527419081613, 717897987692669199454246]$ |
$47293$ |
$[47293, 3459814001, 205881248876359, 12157862172900435901, 717898850073293020162448, 42391159486663767626670806297, 2503155499149457997594439272854979, 147808829373896410378818337864043145333, 8727963568018538325276282453386745964948273, 515377520732597574203230063798100091944981071616]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.80261557.1 |
$D_{4}$ |
simple |
