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 |
2.113.abi_th |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 501 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12616, 1443170, 163054212, 18424290900, 2081949261814, 235260516710180, 26584441790153028, 3004041940167855170, 339456739047476122536]$ |
$9395$ |
$[9395, 161096065, 2082343012460, 26585558757499625, 339455617089225114475, 4334517914479999790312080, 55347518094544030009224203915, 706732548986913928168642197415625, 9024267971727864926580949982990171180, 115230877665990023098810478035482085777825]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.18869312.2 |
$D_{4}$ |
simple |
2.113.abi_ti |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 502 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12618, 1443272, 163056830, 18424336120, 2081949844554, 235260522639712, 26584441842018430, 3004041940647461312, 339456739053225465738]$ |
$9396$ |
$[9396, 161122608, 2082490512372, 26585985662786304, 339456450239556708276, 4334519127715695325592496, 55347519489528797976400636788, 706732550365726679720483062591488, 9024267973168621890883114010019193716, 115230877667941676393704813484945254362288]$ |
$42$ |
$42$ |
$2$ |
$2$ |
$1$ |
4.0.1262768.1 |
$D_{4}$ |
simple |
2.113.abi_tj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 503 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12620, 1443374, 163059444, 18424381000, 2081950412510, 235260528131800, 26584441884026404, 3004041940947631502, 339456739056236659100]$ |
$9397$ |
$[9397, 161149153, 2082638015296, 26586411917760409, 339457277126274477757, 4334520310171963101414400, 55347520781600269316705288653, 706732551482485209257030321921769, 9024267974070345729743599715903297344, 115230877668963846272936069207210845411153]$ |
$30$ |
$30$ |
$2$ |
$2$ |
$1$ |
4.0.1285776.1 |
$D_{4}$ |
simple |
2.113.abi_tk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 504 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12622, 1443476, 163062054, 18424425540, 2081950965694, 235260533187872, 26584441916263806, 3004041941071957568, 339456739056622954782]$ |
$9398$ |
$[9398, 161175700, 2082785521238, 26586837522434000, 339458097749389271398, 4334521461873792451563700, 55347521971094398283999019494, 706732552339498535643094886528000, 9024267974443826445214216553222037062, 115230877669094976945433029278621322608500]$ |
$42$ |
$42$ |
$2$ |
$2$ |
$1$ |
4.0.410432.1 |
$D_{4}$ |
simple |
2.113.abi_tl |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 505 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12624, 1443578, 163064660, 18424469740, 2081951504118, 235260537809356, 26584441938817444, 3004041941024023994, 339456739054497032064]$ |
$9399$ |
$[9399, 161202249, 2082933030204, 26587262476819161, 339458912108911998039, 4334522582846172780260496, 55347523058347139183416057959, 706732552939074401716494931599849, 9024267974299831977672771888170595516, 115230877668373318152150756572413202121849]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.18958400.2 |
$D_{4}$ |
simple |
2.113.abi_tm |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 113 x^{2} )( 1 - 14 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12626, 1443680, 163067262, 18424513600, 2081952027794, 235260541997680, 26584441951774078, 3004041940807407920, 339456739049970997586]$ |
$9400$ |
$[9400, 161228800, 2083080542200, 26587686780928000, 339459720204853627000, 4334523673114093562521600, 55347524043694446371882399800, 706732553283519274288526131200000, 9024267973649108205823375803699052600, 115230877666836925247540360449884070144000]$ |
$78$ |
$78$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-1}) \) |
$C_2$, $C_2$ |
1.113.au $\times$ 1.113.ao |
2.113.abi_tn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 507 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12628, 1443782, 163069860, 18424557120, 2081952536734, 235260545754272, 26584441955220420, 3004041940425679142, 339456739043156385588]$ |
$9401$ |
$[9401, 161255353, 2083228057232, 26588110434772649, 339460522037225188201, 4334524732702544344523776, 55347524927472274258636746473, 706732553375138344144436188074953, 9024267972502378946696750558632950416, 115230877664523659281018768096457553425113]$ |
$30$ |
$30$ |
$2$ |
$2$ |
$1$ |
4.0.945728.1 |
$D_{4}$ |
simple |
2.113.abi_to |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 508 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12630, 1443884, 163072454, 18424600300, 2081953030950, 235260549080560, 26584441949243134, 3004041939882400112, 339456739034164158150]$ |
$9402$ |
$[9402, 161281908, 2083375575306, 26588533438365264, 339461317606037772282, 4334525761636514743967700, 55347525710016577305753988938, 706732553216235526043903678813184, 9024267970870345955650544742450925674, 115230877661471187078438499552625293124628]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.12735296.1 |
$D_{4}$ |
simple |
2.113.abi_tp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 509 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12632, 1443986, 163075044, 18424643140, 2081953510454, 235260551977972, 26584441933928836, 3004041939181125938, 339456739023104705432]$ |
$9403$ |
$[9403, 161308465, 2083523096428, 26588955791718025, 339462106911302530723, 4334526759940994450442640, 55347526391663310028671241699, 706732552809113458721521234732425, 9024267968763688926369652165578436012, 115230877657716981323557446490149873211825]$ |
$14$ |
$14$ |
$2$ |
$2$ |
$1$ |
4.0.10202688.2 |
$D_{4}$ |
simple |
2.113.abi_tq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 510 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12634, 1444088, 163077630, 18424685640, 2081953975258, 235260554447936, 26584441909364094, 3004041938325404384, 339456739010087845914]$ |
$9404$ |
$[9404, 161335024, 2083670620604, 26589377494843136, 339462889953030675964, 4334527727640973225791856, 55347526972748426996716432124, 706732552156073504887283078918144, 9024267966193065490866535525240223996, 115230877653298320639508654784319389901424]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.479600.2 |
$D_{4}$ |
simple |
2.113.abi_tr |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 113 x^{2} )( 1 - 15 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12636, 1444190, 163080212, 18424727800, 2081954425374, 235260556491880, 26584441875635428, 3004041937318775870, 339456738995222826636]$ |
$9405$ |
$[9405, 161361585, 2083818147840, 26589798547752825, 339463666731233481525, 4334528664761440904478720, 55347527453607882833639450085, 706732551259415751227076939875625, 9024267963169111219481554887098142720, 115230877648252289670270110933452921855425]$ |
$60$ |
$60$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-227}) \) |
$C_2$, $C_2$ |
1.113.at $\times$ 1.113.ap |
2.113.abi_ts |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 512 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12638, 1444292, 163082790, 18424769620, 2081954860814, 235260558111232, 26584441832829310, 3004041936164773472, 339456738978618323438]$ |
$9406$ |
$[9406, 161388148, 2083965678142, 26590218950459344, 339464437245922282126, 4334529571327387393953556, 55347527834577632218145862958, 706732550121439008403180362298368, 9024267959702439620883301023085309966, 115230877642615779162134532377266575743188]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.3187008.1 |
$D_{4}$ |
simple |
2.113.abi_tt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 513 x^{2} - 3842 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12640, 1444394, 163085364, 18424811100, 2081955281590, 235260559307420, 26584441781032164, 3004041934866922922, 339456738960382441200]$ |
$9407$ |
$[9407, 161414713, 2084113211516, 26590638702974969, 339465201497108473807, 4334530447363802675021200, 55347528115993629884433201023, 706732548744440811054761435495849, 9024267955803642142068933646032263804, 115230877636425486045179161766122041857353]$ |
$17$ |
$17$ |
$2$ |
$2$ |
$1$ |
4.0.1510976.2 |
$D_{4}$ |
simple |
2.113.abi_tu |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$80$ |
$[80, 12642, 1444496, 163087934, 18424852240, 2081955687714, 235260560081872, 26584441720330366, 3004041933428742608, 339456738940622714082]$ |
$9408$ |
$[9408, 161441280, 2084260747968, 26591057805312000, 339465959484803514048, 4334531292895676802209280, 55347528298191830622729818304, 706732547130717417798383960064000, 9024267951483288168364524581865861312, 115230877629717913514735565233593703462400]$ |
$36$ |
$36$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-1}) \) |
$C_2$, $C_2$ |
1.113.as $\times$ 1.113.aq |
2.113.abi_tv |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 17 x + 113 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$80$ |
$[80, 12644, 1444598, 163090500, 18424893040, 2081956079198, 235260560436016, 26584441650810244, 3004041931853743574, 339456738919446105764]$ |
$9409$ |
$[9409, 161467849, 2084408287504, 26591476257482761, 339466711209018921889, 4334532107947999904137216, 55347528381508189279836333889, 706732545282563811228517073422089, 9024267946751925023425405920347093776, 115230877622529371112859434725206305034249]$ |
$7$ |
$7$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-163}) \) |
$C_2$ |
1.113.ar 2 |
2.113.abh_si |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 476 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$81$ |
$[81, 12633, 1442898, 163040593, 18424038921, 2081946399198, 235260495068169, 26584441648788961, 3004041937984268274, 339456738996441180393]$ |
$9484$ |
$[9484, 161303872, 2081949075904, 26583338144242944, 339450974561057660524, 4334511954657519553417216, 55347513003033341412475576492, 706732545228829110137431369036800, 9024267965168278306210289154027376576, 115230877648665868062557900564902138476352]$ |
$8$ |
$8$ |
$4$ |
$12$ |
$6$ |
\(\Q(\sqrt{-3}, \sqrt{89})\) |
$C_2^2$ |
simple |
2.113.abh_sj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 477 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12635, 1442997, 163043043, 18424080006, 2081946936755, 235260501394797, 26584441728428323, 3004041939127478001, 339456739013187331550]$ |
$9485$ |
$[9485, 161330365, 2082092196485, 26583737636516725, 339451731521913794000, 4334513073823839331276285, 55347514491439148483475970685, 706732547345997107889701762914725, 9024267968602528273846427040246876485, 115230877654350461925510915491503131136000]$ |
$10$ |
$10$ |
$2$ |
$2$ |
$1$ |
4.0.14312725.1 |
$D_{4}$ |
simple |
2.113.abh_sk |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 113 x^{2} )( 1 - 12 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12637, 1443096, 163045489, 18424120761, 2081947460434, 235260507324105, 26584441799335201, 3004041940112244168, 339456739027415295757]$ |
$9486$ |
$[9486, 161356860, 2082235319928, 26584136478244800, 339452482403238905646, 4334514164096913739272960, 55347515886371235552986765022, 706732549231016889094411922169600, 9024267971560807141781949325954134072, 115230877659180240258185084563744124274300]$ |
$32$ |
$32$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-77}) \) |
$C_2$, $C_2$ |
1.113.av $\times$ 1.113.am |
2.113.abh_sl |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 479 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12639, 1443195, 163047931, 18424161186, 2081947970247, 235260512857479, 26584441861591219, 3004041940941833181, 339456739039224979134]$ |
$9487$ |
$[9487, 161383357, 2082378446239, 26584534669438629, 339453227205042601072, 4334515225501730925035653, 55347517188155675233534118743, 706732550886058382532924500857317, 9024267974052927330650520689628596143, 115230877663189116866275255262902839561472]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.28441413.2 |
$D_{4}$ |
simple |
2.113.abh_sm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 480 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12641, 1443294, 163050369, 18424201281, 2081948466206, 235260517996305, 26584441915277953, 3004041941619504318, 339456739048715749121]$ |
$9488$ |
$[9488, 161409856, 2082521575424, 26584932210109696, 339453965927334543248, 4334516258063279098888192, 55347518397118540179520860944, 706732552313290240952428533593088, 9024267976088679848280986273050554368, 115230877666410822696921463812018186961216]$ |
$22$ |
$22$ |
$2$ |
$2$ |
$1$ |
4.0.516913.1 |
$D_{4}$ |
simple |
2.113.abh_sn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 481 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12643, 1443393, 163052803, 18424241046, 2081948948323, 235260522741969, 26584441960476931, 3004041942148509729, 339456739055986434718]$ |
$9489$ |
$[9489, 161436357, 2082664707489, 26585329100269509, 339454698570124452624, 4334517261806546534194341, 55347519513585903087689382657, 706732553514879841066328012523525, 9024267977677834289697599924655018321, 115230877668878905920178651446913822359552]$ |
$22$ |
$22$ |
$2$ |
$2$ |
$1$ |
4.0.36283581.1 |
$D_{4}$ |
simple |
2.113.abh_so |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 482 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12645, 1443492, 163055233, 18424280481, 2081949416610, 235260527095857, 26584441997269633, 3004041942532094436, 339456739061135326725]$ |
$9490$ |
$[9490, 161462860, 2082807842440, 26585725339929600, 339455425133422107250, 4334518236756521567703040, 55347520537883836697586943090, 706732554492993283554634307481600, 9024267978830138837120256318879708040, 115230877670626732010486383466652715031500]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.38177100.1 |
$D_{4}$ |
simple |
2.113.abh_sp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 483 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12647, 1443591, 163057659, 18424319586, 2081949871079, 235260531059355, 26584442025737491, 3004041942773496333, 339456739064260177982]$ |
$9491$ |
$[9491, 161489365, 2082950980283, 26586120929101525, 339456145617237342896, 4334519182938192599894365, 55347521470338413792033395067, 706732555249795393064362448657925, 9024267979555320259964726987062934747, 115230877671687483828138571105242303059200]$ |
$19$ |
$19$ |
$2$ |
$2$ |
$1$ |
4.0.38895613.1 |
$D_{4}$ |
simple |
2.113.abh_sq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 484 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12649, 1443690, 163060081, 18424358361, 2081950311742, 235260534633849, 26584442045961889, 3004041942875946186, 339456739065458203609]$ |
$9492$ |
$[9492, 161515872, 2083094121024, 26586515867796864, 339456860021580053172, 4334520100376548095326208, 55347522311275707197591334708, 706732555787449718209931291162112, 9024267979863083914842900295621320768, 115230877672094161700753196266773088741472]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.9643032.3 |
$D_{4}$ |
simple |
2.113.abh_sr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 485 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12651, 1443789, 163062499, 18424396806, 2081950738611, 235260537820725, 26584442058024163, 3004041942842667633, 339456739064826081246]$ |
$9493$ |
$[9493, 161542381, 2083237264669, 26586910156027221, 339457568346460189648, 4334520989096576582981677, 55347523061021789785038680389, 706732556108118531573567580888293, 9024267979763113745563025407411854973, 115230877671879583504742039166538543599616]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.37340037.1 |
$D_{4}$ |
simple |
2.113.abh_ss |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 113 x^{2} )( 1 - 13 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12653, 1443888, 163064913, 18424434921, 2081951151698, 235260540621369, 26584442062005601, 3004041942676877184, 339456739062459951293]$ |
$9494$ |
$[9494, 161568892, 2083380411224, 26587303793804224, 339458270591887761974, 4334521849123266656617216, 55347523719902734469843686022, 706732556213962829705713941139200, 9024267979265072283129960262357688216, 115230877671076384746780408921050957416252]$ |
$18$ |
$18$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-283}) \) |
$C_2$, $C_2$ |
1.113.au $\times$ 1.113.an |
2.113.abh_st |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 487 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12655, 1443987, 163067323, 18424472706, 2081951551015, 235260543037167, 26584442057987443, 3004041942381784221, 339456739058455417150]$ |
$9495$ |
$[9495, 161595405, 2083523560695, 26587696781139525, 339458966757872838000, 4334522680481606975111445, 55347524288244614212642393695, 706732556107142333125440799503525, 9024267978378600645745423613592344295, 115230877669717018645276877130236381472000]$ |
$65$ |
$65$ |
$2$ |
$2$ |
$1$ |
4.0.403525.1 |
$D_{4}$ |
simple |
2.113.abh_su |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 488 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12657, 1444086, 163069729, 18424510161, 2081951936574, 235260545069505, 26584442046050881, 3004041941960590998, 339456739052907545457]$ |
$9496$ |
$[9496, 161621920, 2083666713088, 26588089118044800, 339459656844425543896, 4334523483196586262814720, 55347524766373502019718530712, 706732555789815486320862274521600, 9024267977113318538808251155552655872, 115230877667833756211843014495462086397600]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.7382952.2 |
$D_{4}$ |
simple |
2.113.abh_sv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 489 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12659, 1444185, 163072131, 18424547286, 2081952308387, 235260546719769, 26584442026277059, 3004041941416492641, 339456739045910866334]$ |
$9497$ |
$[9497, 161648437, 2083809868409, 26588480804531749, 339460340851556064272, 4334524257293193309899413, 55347525154615470943485856073, 706732555264139457749556041714757, 9024267975478824254914655780626731593, 115230877665458686332763130517421983465472]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.26006893.1 |
$D_{4}$ |
simple |
2.113.abh_sw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 490 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12661, 1444284, 163074529, 18424584081, 2081952666466, 235260547989345, 26584441998747073, 3004041940752677148, 339456739037559373621]$ |
$9498$ |
$[9498, 161674956, 2083953026664, 26588871840612096, 339461018779274642298, 4334525002796416972710912, 55347525453296594082972961434, 706732554532270139838987198594048, 9024267973484694673858492001139620328, 115230877662623715850464016318279248333516]$ |
$30$ |
$30$ |
$2$ |
$2$ |
$1$ |
4.0.22246092.1 |
$D_{4}$ |
simple |
2.113.abh_sx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 491 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12663, 1444383, 163076923, 18424620546, 2081953010823, 235260548879619, 26584441963541971, 3004041939972325389, 339456739027946525118]$ |
$9499$ |
$[9499, 161701477, 2084096187859, 26589262226297589, 339461690627591579824, 4334525719731246174119341, 55347525662742944584310531587, 706732553596362148986936148304325, 9024267971140485262631524573636061011, 115230877659360569644984690632840941853952]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.18385101.1 |
$D_{4}$ |
simple |
2.113.abh_sy |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 113 x^{2} )( 1 - 14 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12665, 1444482, 163079313, 18424656681, 2081953341470, 235260549391977, 26584441920742753, 3004041939078611106, 339456739017165242825]$ |
$9500$ |
$[9500, 161728000, 2084239352000, 26589651961600000, 339462356396517237500, 4334526408122669903872000, 55347525783280595641221069500, 706732552458568825561930521600000, 9024267968455730075423701362596792000, 115230877655700790715446149013916747200000]$ |
$30$ |
$30$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-1}) \) |
$C_2$, $C_2$ |
1.113.at $\times$ 1.113.ao |
2.113.abh_sz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 493 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12667, 1444581, 163081699, 18424692486, 2081953658419, 235260549527805, 26584441870430371, 3004041938074700913, 339456739005307913182]$ |
$9501$ |
$[9501, 161754525, 2084382519093, 26590041046531125, 339463016086062034896, 4334527067995677218946525, 55347525815235620495511090957, 706732551121042233903681156889125, 9024267965439941753623430480902342197, 115230877651675740261521116297393039872000]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.10907253.1 |
$D_{4}$ |
simple |
2.113.abh_ta |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 494 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12669, 1444680, 163084081, 18424727961, 2081953961682, 235260549288489, 26584441812685729, 3004041936963754296, 339456738992466387309]$ |
$9502$ |
$[9502, 161781052, 2084525689144, 26590429481102784, 339463669696236450622, 4334527699375257243904768, 55347525758934092437565793838, 706732549585933162323522158122752, 9024267962102611525817861744536037368, 115230877647316597764903802372934380750972]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.7563708.1 |
$D_{4}$ |
simple |
2.113.abh_tb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 495 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12671, 1444779, 163086459, 18424763106, 2081954251271, 235260548675415, 26584441747589683, 3004041935748923613, 339456738978731981246]$ |
$9503$ |
$[9503, 161807581, 2084668862159, 26590817265326821, 339464317227051022448, 4334528302286399171247397, 55347525614702084806846207079, 706732547855391123104855050346853, 9024267958453209207793172479196129183, 115230877642654361070779661306607175900416]$ |
$14$ |
$14$ |
$2$ |
$2$ |
$1$ |
4.0.4666597.2 |
$D_{4}$ |
simple |
2.113.abh_tc |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 113 x^{2} )( 1 - 15 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12673, 1444878, 163088833, 18424797921, 2081954527198, 235260547689969, 26584441675223041, 3004041934433354094, 339456738964195476193]$ |
$9504$ |
$[9504, 161834112, 2084812038144, 26591204399215104, 339464958678516347424, 4334528876754092261769216, 55347525382865670992388824352, 706732545931564352503597052774400, 9024267954501183202534857716665491456, 115230877637719846469295153862104683905152]$ |
$35$ |
$35$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-227}) \) |
$C_2$, $C_2$ |
1.113.as $\times$ 1.113.ap |
2.113.abh_td |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 497 x^{2} - 3729 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12675, 1444977, 163091203, 18424832406, 2081954789475, 235260546333537, 26584441595666563, 3004041933020183841, 339456738948947118750]$ |
$9505$ |
$[9505, 161860645, 2084955217105, 26591590882779525, 339465594050643082000, 4334529422803325844915205, 55347525063750924433307727505, 706732543816599810748633489275525, 9024267950255960500228024818966227905, 115230877632543688777027513467638775808000]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.762525.1 |
$D_{4}$ |
simple |
2.113.abh_te |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 17 x + 113 x^{2} )( 1 - 16 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$81$ |
$[81, 12677, 1445076, 163093569, 18424866561, 2081955038114, 235260544607505, 26584441509000961, 3004041931512543828, 339456738933076621157]$ |
$9506$ |
$[9506, 161887180, 2085098399048, 26591976716032000, 339466223343441942146, 4334529940459089319137280, 55347524657683918619299204802, 706732541512643182042274356224000, 9024267945726946678257692568505798472, 115230877627156341418454515675951867789900]$ |
$0$ |
$0$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-163}) \), \(\Q(\sqrt{-1}) \) |
$C_2$, $C_2$ |
1.113.ar $\times$ 1.113.aq |
2.113.abg_rn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 455 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12656, 1442962, 163036644, 18423976082, 2081946293606, 235260504732146, 26584441805189188, 3004041938785237810, 339456738987303926096]$ |
$9577$ |
$[9577, 161592721, 2082041370628, 26582694382938601, 339449816810281646617, 4334511734820332521921552, 55347515276585614371280872217, 706732549386641826270403212604233, 9024267967574424382706976528453328516, 115230877645564165515995046901156465843441]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.131472.1 |
$D_{4}$ |
simple |
2.113.abg_ro |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 456 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12658, 1443058, 163038918, 18424012242, 2081946746098, 235260510095602, 26584441877660286, 3004041939876373714, 339456739002913716018]$ |
$9578$ |
$[9578, 161619172, 2082180125834, 26583065167088144, 339450483029715439498, 4334512676885546273577316, 55347516538395123534696152426, 706732551313245536875036083814400, 9024267970852242402222152082411273386, 115230877650863013899551644185466314218852]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.24617216.1 |
$D_{4}$ |
simple |
2.113.abg_rp |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 113 x^{2} )( 1 - 11 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12660, 1443154, 163041188, 18424048082, 2081947185630, 235260515103794, 26584441942674628, 3004041940837744882, 339456739016514681300]$ |
$9579$ |
$[9579, 161645625, 2082318883776, 26583435300515625, 339451143353756928219, 4334513591968712133120000, 55347517716625024312207939611, 706732553041615547721107063015625, 9024267973740241712272252791740789184, 115230877655479953221602153514085409265625]$ |
$33$ |
$33$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-331}) \) |
$C_2$, $C_2$ |
1.113.av $\times$ 1.113.al |
2.113.abg_rq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 458 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12662, 1443250, 163043454, 18424083602, 2081947612214, 235260519758066, 26584442000308606, 3004041941672289490, 339456739028192932982]$ |
$9580$ |
$[9580, 161672080, 2082457644460, 26583804783232000, 339451797782414761900, 4334514480094817432955280, 55347518811591507960929389420, 706732554573782697655301842944000, 9024267976247248716778384438557676780, 115230877659444214454968320514190115072400]$ |
$44$ |
$44$ |
$2$ |
$2$ |
$1$ |
4.0.180288.2 |
$D_{4}$ |
simple |
2.113.abg_rr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 459 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12664, 1443346, 163045716, 18424118802, 2081948025862, 235260524059762, 26584442050638564, 3004041942382938802, 339456739038034077384]$ |
$9581$ |
$[9581, 161698537, 2082596407892, 26584173615248249, 339452446315697644501, 4334515341288849562173328, 55347519823610765773219062437, 706732555911776549485638179168297, 9024267978382069055727815750083436372, 115230877662784857241867260031593112186297]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.53974928.1 |
$D_{4}$ |
simple |
2.113.abg_rs |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 460 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12666, 1443442, 163047974, 18424153682, 2081948426586, 235260528010226, 26584442093740798, 3004041942972617170, 339456739046123216346]$ |
$9582$ |
$[9582, 161724996, 2082735174078, 26584541796575376, 339453088953614334942, 4334516175575795966878212, 55347520752998989077100452942, 706732557057625389981795916812288, 9024267980153487605174157114953384526, 115230877665530769975381143078786024803716]$ |
$52$ |
$52$ |
$2$ |
$2$ |
$1$ |
4.0.60000512.2 |
$D_{4}$ |
simple |
2.113.abg_rt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 461 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12668, 1443538, 163050228, 18424188242, 2081948814398, 235260531610802, 26584442129691556, 3004041943444242034, 339456739052544947468]$ |
$9583$ |
$[9583, 161751457, 2082873943024, 26584909327224409, 339453725696173647223, 4334516982980644150518016, 55347521600072369236683825991, 706732558013356229875450506078825, 9024267981570268477237542610276111216, 115230877667710669880926885990464741364177]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.4022361.1 |
$D_{4}$ |
simple |
2.113.abg_ru |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 462 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12670, 1443634, 163052478, 18424222482, 2081949189310, 235260534862834, 26584442158567038, 3004041943800723922, 339456739057383364350]$ |
$9584$ |
$[9584, 161777920, 2083012714736, 26585276207206400, 339454356543384450544, 4334517763528381674215680, 55347522365147097652590367856, 706732558780994803860610025062400, 9024267982641155020104815371759209584, 115230877669353103097725841822398795168000]$ |
$128$ |
$128$ |
$2$ |
$2$ |
$1$ |
4.0.1025.1 |
$D_{4}$ |
simple |
2.113.abg_rv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 463 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12672, 1443730, 163054724, 18424256402, 2081949551334, 235260537767666, 26584442180443396, 3004041944044966450, 339456739060722056832]$ |
$9585$ |
$[9585, 161804385, 2083151489220, 26585642436532425, 339454981495255669425, 4334518517243996157100560, 55347523048539365762378654865, 706732559362565570593955728377225, 9024267983374869818029716339382773060, 115230877670486444760273494029836628915425]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.68578448.1 |
$D_{4}$ |
simple |
2.113.abg_rw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 464 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12674, 1443826, 163056966, 18424290002, 2081949900482, 235260540326642, 26584442195396734, 3004041944179866322, 339456739062644111234]$ |
$9586$ |
$[9586, 161830852, 2083290266482, 26586008015213584, 339455600551796283826, 4334519244152475276640708, 55347523650565365040973445682, 706732559760091712695186140168192, 9024267983780114691333076411269079282, 115230877671138899079809152461970691775172]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.848128.2 |
$D_{4}$ |
simple |
2.113.abg_rx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 465 x^{2} - 3616 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12676, 1443922, 163059204, 18424323282, 2081950236766, 235260542541106, 26584442203503108, 3004041944208313330, 339456739063232110596]$ |
$9587$ |
$[9587, 161857321, 2083429046528, 26586372943261001, 339456213713015329267, 4334519944278806768975872, 55347524171541287001096802067, 706732559975595136747364710112393, 9024267983865570696403012038564167936, 115230877671338499425785651709320113363241]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.4228937.1 |
$D_{4}$ |
simple |
2.113.abg_ry |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 113 x^{2} )( 1 - 12 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$82$ |
$[82, 12678, 1444018, 163061438, 18424356242, 2081950560198, 235260544412402, 26584442204838526, 3004041944133190354, 339456739062568134918]$ |
$9588$ |
$[9588, 161883792, 2083567829364, 26586737220685824, 339456820978921896948, 4334520617647978429251216, 55347524611783323193701543156, 706732560011096473297271051059200, 9024267983639898125695124294314670196, 115230877671113108407339051841224169476752]$ |
$128$ |
$128$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-77}) \) |
$C_2$, $C_2$ |
1.113.au $\times$ 1.113.am |