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.az_nb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 25 x + 339 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$89$ |
$[89, 12823, 1444223, 163042971, 18424261794, 2081954057527, 235260606854243, 26584442419751763, 3004041937975659749, 339456738962369199678]$ |
$10259$ |
$[10259, 163723381, 2083865622731, 26583726243081941, 339455080789684297264, 4334527898920894040637661, 55347539301886537335831771371, 706732565724445009303722931163525, 9024267965142417940735323326936588699, 115230877637099904598858509714722008765696]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.1099142525.1 |
$D_{4}$ |
simple |
2.113.az_nc |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 113 x^{2} )( 1 - 6 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12825, 1444298, 163044113, 18424269169, 2081954044350, 235260606375793, 26584442416217953, 3004041937859781674, 339456738958999691625]$ |
$10260$ |
$[10260, 163749600, 2083973935680, 26583912437040000, 339455216666957469300, 4334527871486823335270400, 55347539189326113890121877620, 706732565630500642327310543040000, 9024267964794315344329831951294232640, 115230877635956102383281894120411666540000]$ |
$234$ |
$234$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-26}) \) |
$C_2$, $C_2$ |
1.113.at $\times$ 1.113.ag |
2.113.az_nd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 341 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12827, 1444373, 163045251, 18424276294, 2081954024003, 235260605777293, 26584442411499043, 3004041937739107049, 339456738955673869022]$ |
$10261$ |
$[10261, 163775821, 2084082250669, 26584097979528661, 339455347938237769936, 4334527829125153444599661, 55347539048522658381293683189, 706732565505051052789905325767525, 9024267964431803710544753081735292541, 115230877634827129488106124072509108228096]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.1061475525.1 |
$D_{4}$ |
simple |
2.113.az_ne |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 342 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12829, 1444448, 163046385, 18424283169, 2081953996498, 235260605059793, 26584442405638689, 3004041937614762224, 339456738952411328589]$ |
$10262$ |
$[10262, 163802044, 2084190567704, 26584282870556096, 339455474603529653782, 4334527771860869012636416, 55347538879723194530411016038, 706732565349256811077801332602624, 9024267964058266642010341475818290776, 115230877633719638151996310688778565526524]$ |
$52$ |
$52$ |
$2$ |
$2$ |
$1$ |
4.0.1040054204.1 |
$D_{4}$ |
simple |
2.113.az_nf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 343 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12831, 1444523, 163047515, 18424289794, 2081953961847, 235260604224343, 26584442398680499, 3004041937487868149, 339456738949231373886]$ |
$10263$ |
$[10263, 163828269, 2084298886791, 26584467110130501, 339455596662837616368, 4334527699718954713244181, 55347538683174746070639632847, 706732565164277211526912131272229, 9024267963677071519530682277159857959, 115230877632640181098479928623537901319424]$ |
$192$ |
$192$ |
$2$ |
$2$ |
$1$ |
4.0.8405309.1 |
$D_{4}$ |
simple |
2.113.az_ng |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 344 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12833, 1444598, 163048641, 18424296169, 2081953920062, 235260603271993, 26584442390668033, 3004041937359540374, 339456738946153015553]$ |
$10264$ |
$[10264, 163854496, 2084407207936, 26584650698260096, 339455714116166194264, 4334527612724395250384896, 55347538459124336747471057176, 706732564951270272422889724377600, 9024267963291569502083731017742280704, 115230877631595211617416441703282581281696]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.3063400.2 |
$D_{4}$ |
simple |
2.113.az_nh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 345 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12835, 1444673, 163049763, 18424302294, 2081953871155, 235260602203793, 26584442381644803, 3004041937230889049, 339456738943194971550]$ |
$10265$ |
$[10265, 163880725, 2084515531145, 26584833634953125, 339455826963519965200, 4334527510902175358365525, 55347538207818990318948141305, 706732564711392736001245347453125, 9024267962905095526821354849281936585, 115230877630591083646466929095328522240000]$ |
$95$ |
$95$ |
$2$ |
$2$ |
$1$ |
4.0.966653741.1 |
$D_{4}$ |
simple |
2.113.az_ni |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 346 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12837, 1444748, 163050881, 18424308169, 2081953815138, 235260601020793, 26584442371654273, 3004041937103018924, 339456738940375667397]$ |
$10266$ |
$[10266, 163906956, 2084623856424, 26585015920217856, 339455935204903548186, 4334527394277279802085376, 55347537929505730555892356794, 706732564445800068447472158489600, 9024267962520968309069375021160016296, 115230877629634051852563712023061534819596]$ |
$104$ |
$104$ |
$2$ |
$2$ |
$1$ |
4.0.939481100.1 |
$D_{4}$ |
simple |
2.113.az_nj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 347 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12839, 1444823, 163051995, 18424313794, 2081953752023, 235260599724043, 26584442360739859, 3004041936977029349, 339456738937713236414]$ |
$10267$ |
$[10267, 163933189, 2084732183779, 26585197554062581, 339456038840321603632, 4334527262874693377284141, 55347537624431581242132818803, 706732564155646459897169832771909, 9024267962142490342327610622541400851, 115230877628730271713379981041560916999424]$ |
$60$ |
$60$ |
$2$ |
$2$ |
$1$ |
4.0.911126349.1 |
$D_{4}$ |
simple |
2.113.az_nk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 348 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12841, 1444898, 163053105, 18424319169, 2081953681822, 235260598314593, 26584442348944929, 3004041936854014274, 339456738935225519961]$ |
$10268$ |
$[10268, 163959424, 2084840513216, 26585378536495616, 339456137869778833468, 4334527116719400910790656, 55347537292843566174737049212, 706732563842084824436171076921344, 9024267961772947898269923606432392384, 115230877627885799598799423887545840785024]$ |
$140$ |
$140$ |
$2$ |
$2$ |
$1$ |
4.0.55105784.1 |
$D_{4}$ |
simple |
2.113.az_nl |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 349 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12843, 1444973, 163054211, 18424324294, 2081953604547, 235260596793493, 26584442336312803, 3004041936735062249, 339456738932930067678]$ |
$10269$ |
$[10269, 163985661, 2084948844741, 26585558867525301, 339456232293279981264, 4334526955836387260772381, 55347536934988709164243483581, 706732563506266800100670076073125, 9024267961415611026744265113553190709, 115230877627106592852385853917775509917696]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.1362053.1 |
$D_{4}$ |
simple |
2.113.az_nm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 350 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12845, 1445048, 163055313, 18424329169, 2081953520210, 235260595161793, 26584442322886753, 3004041936621256424, 339456738930844137725]$ |
$10270$ |
$[10270, 164011900, 2085057178360, 26585738547160000, 339456322110829832350, 4334526780250637316985600, 55347536551114034034895726990, 706732563149342748877352888160000, 9024267961073733555772723114026564280, 115230877626398509872852839150217655997500]$ |
$100$ |
$100$ |
$2$ |
$2$ |
$1$ |
4.0.820001916.1 |
$D_{4}$ |
simple |
2.113.az_nn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 351 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12847, 1445123, 163056411, 18424333794, 2081953428823, 235260593420543, 26584442308710003, 3004041936513674549, 339456738928984697022]$ |
$10271$ |
$[10271, 164038141, 2085165514079, 26585917575408101, 339456407322433213936, 4334526589987136001026341, 55347536141466564624878563799, 706732562772461756703529799313125, 9024267960750553091551571385010083551, 115230877625767310195533331922484787236096]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.1260725.1 |
$D_{4}$ |
simple |
2.113.az_no |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 113 x^{2} )( 1 - 7 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12849, 1445198, 163057505, 18424338169, 2081953330398, 235260591570793, 26584442293825729, 3004041936413388974, 339456738927368421489]$ |
$10272$ |
$[10272, 164064384, 2085273851904, 26586095952278016, 339456487928094995232, 4334526385070868266582016, 55347535706293324786555726368, 706732562376771633467269654431744, 9024267960449291018451319842525566976, 115230877625218654573849299182223711901824]$ |
$70$ |
$70$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-403}) \) |
$C_2$, $C_2$ |
1.113.as $\times$ 1.113.ah |
2.113.az_np |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 353 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12851, 1445273, 163058595, 18424342294, 2081953224947, 235260589613593, 26584442278277059, 3004041936321466649, 339456738926011696286]$ |
$10273$ |
$[10273, 164090629, 2085382191841, 26586273677778181, 339456563927820087568, 4334526165526819099683781, 55347535245841338386709427777, 706732561963418913007536177013509, 9024267960173152499016766245866035009, 115230877624758105060781353424331231002624]$ |
$100$ |
$100$ |
$2$ |
$2$ |
$1$ |
4.0.8913229.1 |
$D_{4}$ |
simple |
2.113.az_nq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 354 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12853, 1445348, 163059681, 18424346169, 2081953112482, 235260587549993, 26584442262107073, 3004041936238969124, 339456738924930616053]$ |
$10274$ |
$[10274, 164116876, 2085490533896, 26586450751917056, 339456635321613444514, 4334525931379973518959616, 55347534760357629306781663586, 706732561533548853114326292377600, 9024267959925326473967049293087475464, 115230877624391125090338384290057535501196]$ |
$112$ |
$112$ |
$2$ |
$2$ |
$1$ |
4.0.14045900.1 |
$D_{4}$ |
simple |
2.113.az_nr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 355 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12855, 1445423, 163060763, 18424349794, 2081952993015, 235260585381043, 26584442245358803, 3004041936166952549, 339456738924140985150]$ |
$10275$ |
$[10275, 164143125, 2085598878075, 26586627174703125, 339456702109480062000, 4334525682655316575888125, 55347534250089221443117287675, 706732561088305435528810468453125, 9024267959708985662195703126220094475, 115230877624123079559027190843248756000000]$ |
$195$ |
$195$ |
$2$ |
$2$ |
$1$ |
4.0.654179741.1 |
$D_{4}$ |
simple |
2.113.az_ns |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 356 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12857, 1445498, 163061841, 18424353169, 2081952866558, 235260583107793, 26584442228075233, 3004041936106467674, 339456738923658317897]$ |
$10276$ |
$[10276, 164169376, 2085707224384, 26586802946144896, 339456764291424978436, 4334525419377833355053056, 55347533715283138707208867204, 706732560628831365943475088345600, 9024267959527286560770713264961461056, 115230877623959234907322114539171301000096]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.154967400.1 |
$D_{4}$ |
simple |
2.113.az_nt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 357 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12859, 1445573, 163062915, 18424356294, 2081952733123, 235260580731293, 26584442210299299, 3004041936058559849, 339456738923497838814]$ |
$10277$ |
$[10277, 164195629, 2085815572829, 26586978066250901, 339456821867453274832, 4334525141572508974398541, 55347533156186405025943321733, 706732560156268074002266868934629, 9024267959383369444934573987742049901, 115230877623904759201134672901553087156224]$ |
$67$ |
$67$ |
$2$ |
$2$ |
$1$ |
4.0.585425189.1 |
$D_{4}$ |
simple |
2.113.az_nu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 358 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12861, 1445648, 163063985, 18424359169, 2081952592722, 235260578252593, 26584442192073889, 3004041936024269024, 339456738923674482861]$ |
$10278$ |
$[10278, 164221884, 2085923923416, 26587152535029696, 339456874837570074918, 4334524849264328585485056, 55347532573046044341850351542, 706732559671755713300739339796224, 9024267959280358368104347179182146584, 115230877623964722213283193923670515049724]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.550953404.1 |
$D_{4}$ |
simple |
2.113.az_nv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 359 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12863, 1445723, 163065051, 18424361794, 2081952445367, 235260575672743, 26584442173441843, 3004041936004629749, 339456738924202895678]$ |
$10279$ |
$[10279, 164248141, 2086032276151, 26587326352489861, 339456923201780545264, 4334524542478277373746101, 55347531966109080613352660191, 706732559176433161386201396783525, 9024267959221361161871722663087901719, 115230877624144095504962451209505080509696]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.516561525.1 |
$D_{4}$ |
simple |
2.113.az_nw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 360 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12865, 1445798, 163066113, 18424364169, 2081952291070, 235260572992793, 26584442154445953, 3004041936000671174, 339456738925097433825]$ |
$10280$ |
$[10280, 164274400, 2086140631040, 26587499518640000, 339456966960089895400, 4334524221239340558745600, 55347531335622537815017976360, 706732558671438019757867944640000, 9024267959209469436003080040263505920, 115230877624447752507213299871189838060000]$ |
$216$ |
$216$ |
$2$ |
$2$ |
$1$ |
4.0.120589304.1 |
$D_{4}$ |
simple |
2.113.az_nx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 361 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12867, 1445873, 163067171, 18424366294, 2081952129843, 235260570213793, 26584442135128963, 3004041936013417049, 339456738926372165022]$ |
$10281$ |
$[10281, 164300661, 2086248988089, 26587672033488741, 339457006112503377936, 4334523885572503394436021, 55347530681833439937812880009, 706732558157906613867012643059525, 9024267959247758578439552050546005561, 115230877624880468602392313199163553284096]$ |
$94$ |
$94$ |
$2$ |
$2$ |
$1$ |
4.0.448448525.1 |
$D_{4}$ |
simple |
2.113.az_ny |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 17 x + 113 x^{2} )( 1 - 8 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12869, 1445948, 163068225, 18424368169, 2081951961698, 235260567336793, 26584442115533569, 3004041936043885724, 339456738928040868389]$ |
$10282$ |
$[10282, 164326924, 2086357347304, 26587843897044736, 339457040659026288682, 4334523535502751169417216, 55347530004988810989358437898, 706732557636973993117122770648064, 9024267959339287755297089478599190376, 115230877625446921205641420121649298410124]$ |
$32$ |
$32$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \), \(\Q(\sqrt{-97}) \) |
$C_2$, $C_2$ |
1.113.ar $\times$ 1.113.ai |
2.113.az_nz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 363 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12871, 1446023, 163069275, 18424369794, 2081951786647, 235260564362843, 26584442095702419, 3004041936093090149, 339456738930117034686]$ |
$10283$ |
$[10283, 164353189, 2086465708691, 26588015109316661, 339457070599663966768, 4334523171055069207195981, 55347529305335674994187653507, 706732557109773930864056221281989, 9024267959487099910866527623133257859, 115230877626151689846357543470274463853824]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.381952109.1 |
$D_{4}$ |
simple |
2.113.az_oa |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 364 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12873, 1446098, 163070321, 18424371169, 2081951604702, 235260561292993, 26584442075678113, 3004041936162037874, 339456738932613866553]$ |
$10284$ |
$[10284, 164379456, 2086574072256, 26588185670313216, 339457095934421794764, 4334522792254442866446336, 55347528583121055994004736396, 706732556577438924416200647398400, 9024267959694221767613654349347596224, 115230877626999256249662239068850681445696]$ |
$176$ |
$176$ |
$2$ |
$2$ |
$1$ |
4.0.5462225.1 |
$D_{4}$ |
simple |
2.113.az_ob |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 365 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12875, 1446173, 163071363, 18424372294, 2081951415875, 235260558128293, 26584442055503203, 3004041936251731049, 339456738935544278750]$ |
$10285$ |
$[10285, 164405725, 2086682438005, 26588355580043125, 339457116663305198800, 4334522399125857541270525, 55347527838591978047946196045, 706732556041100195034634764793125, 9024267959963663826179279744525027365, 115230877627994004417871335662534986240000]$ |
$112$ |
$112$ |
$2$ |
$2$ |
$1$ |
4.0.317944341.1 |
$D_{4}$ |
simple |
2.113.az_oc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 366 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12877, 1446248, 163072401, 18424373169, 2081951220178, 235260554869793, 26584442035220193, 3004041936363166424, 339456738938920898397]$ |
$10286$ |
$[10286, 164431996, 2086790805944, 26588524838515136, 339457132786319648686, 4334521991694298661460736, 55347527071995465232843765214, 706732555501887687933291833542400, 9024267960298420365379307396837213816, 115230877629140220711964575704797686785596]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.287147900.1 |
$D_{4}$ |
simple |
2.113.az_od |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 367 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12879, 1446323, 163073435, 18424373794, 2081951017623, 235260551518543, 26584442014871539, 3004041936497335349, 339456738942756065214]$ |
$10287$ |
$[10287, 164458269, 2086899176079, 26588693445738021, 339457144303470658032, 4334521569984751692761541, 55347526283578541643489157863, 706732554960930072279125329704549, 9024267960701469442204807317552659151, 115230877630442093933055257019827872161024]$ |
$65$ |
$65$ |
$2$ |
$2$ |
$1$ |
4.0.257303429.1 |
$D_{4}$ |
simple |
2.113.az_oe |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 368 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12881, 1446398, 163074465, 18424374169, 2081950808222, 235260548075593, 26584441994499649, 3004041936655223774, 339456738947061831761]$ |
$10288$ |
$[10288, 164484544, 2087007548416, 26588861401720576, 339457151214763784368, 4334521134022202137133056, 55347525473588231392900666672, 706732554419354741192276822498304, 9024267961175772891822090526970819584, 115230877631903715403859875358214261567424]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.14282604.3 |
$D_{4}$ |
simple |
2.113.az_of |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 369 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12883, 1446473, 163075491, 18424374294, 2081950591987, 235260544541993, 26584441974146883, 3004041936837812249, 339456738951849963678]$ |
$10289$ |
$[10289, 164510821, 2087115922961, 26589028706471621, 339457153520204629264, 4334520683831635533014821, 55347524642271558612591605201, 706732553878287811746246071694725, 9024267961724276327572785324538295729, 115230877633529079050167767863947202461696]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.200913725.2 |
$D_{4}$ |
simple |
2.113.az_og |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 16 x + 113 x^{2} )( 1 - 9 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12885, 1446548, 163076513, 18424374169, 2081950368930, 235260540918793, 26584441953855553, 3004041937046075924, 339456738957131939925]$ |
$10290$ |
$[10290, 164537100, 2087224299720, 26589195360000000, 339457151219798838450, 4334520219438037455590400, 55347523789875547452840599730, 706732553338854124968063360000000, 9024267962349909140973915263735887560, 115230877635322081482310757470997049727500]$ |
$112$ |
$112$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-371}) \) |
$C_2$, $C_2$ |
1.113.aq $\times$ 1.113.aj |
2.113.az_oh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 371 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12887, 1446623, 163077531, 18424373794, 2081950139063, 235260537207043, 26584441933667923, 3004041937280984549, 339456738962918953022]$ |
$10291$ |
$[10291, 164563381, 2087332678699, 26589361362314581, 339457144313552101936, 4334519740866393517052701, 55347522916647222082963735819, 706732552802177245838464075246725, 9024267963055584501717978852458472571, 115230877637286522076632798247934914852096]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.1847725.1 |
$D_{4}$ |
simple |
2.113.az_oi |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 372 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12889, 1446698, 163078545, 18424373169, 2081949902398, 235260533407793, 26584441913626209, 3004041937543502474, 339456738969221909289]$ |
$10292$ |
$[10292, 164589664, 2087441059904, 26589526713424256, 339457132801470154132, 4334519248141689366870016, 55347522022833606691588564628, 706732552269379463292065557251584, 9024267963844199357673030999743206976, 115230877639426103056959621709273864131424]$ |
$54$ |
$54$ |
$2$ |
$2$ |
$1$ |
4.0.31562456.1 |
$D_{4}$ |
simple |
2.113.az_oj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 373 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12891, 1446773, 163079555, 18424372294, 2081949658947, 235260529522093, 26584441893772579, 3004041937834588649, 339456738976051429086]$ |
$10293$ |
$[10293, 164615949, 2087549443341, 26589691413337941, 339457116683558773968, 4334518741288910692052781, 55347521108681725486929974037, 706732551741581790217546224237669, 9024267964718634434882766229835452509, 115230877641744429576068384112422072193024]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.104456069.1 |
$D_{4}$ |
simple |
2.113.az_ok |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 374 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12893, 1446848, 163080561, 18424371169, 2081949408722, 235260525550993, 26584441874149153, 3004041938155196624, 339456738983417847053]$ |
$10294$ |
$[10294, 164642236, 2087657829016, 26589855462064576, 339457095959823785014, 4334518220333043217421056, 55347520174438602697067929606, 706732551219903963457826993760000, 9024267965681754237566603684716096984, 115230877644245009797157314759354205235196]$ |
$50$ |
$50$ |
$2$ |
$2$ |
$1$ |
4.0.135036.1 |
$D_{4}$ |
simple |
2.113.az_ol |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 375 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12895, 1446923, 163081563, 18424369794, 2081949151735, 235260521495543, 26584441854798003, 3004041938506274549, 339456738991331212350]$ |
$10295$ |
$[10295, 164668525, 2087766216935, 26590018859613125, 339457070630271055600, 4334517685299072705872725, 55347519220351262570227090415, 706732550705464443810255013113125, 9024267966736407048119773936348565255, 115230877646931254975315365322323420960000]$ |
$76$ |
$76$ |
$2$ |
$2$ |
$1$ |
4.0.66187541.1 |
$D_{4}$ |
simple |
2.113.az_om |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 113 x^{2} )( 1 - 10 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12897, 1446998, 163082561, 18424368169, 2081948887998, 235260517356793, 26584441835761153, 3004041938888765174, 339456738999801288897]$ |
$10296$ |
$[10296, 164694816, 2087874607104, 26590181605992576, 339457040694906498936, 4334517136211984958652416, 55347518246666729375058304824, 706732550199380416026789714240000, 9024267967885424927113407630038808576, 115230877649806479538991860213153832856096]$ |
$90$ |
$90$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-227}) \), \(\Q(\sqrt{-22}) \) |
$C_2$, $C_2$ |
1.113.ap $\times$ 1.113.ak |
2.113.az_on |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 377 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12899, 1447073, 163083555, 18424366294, 2081948617523, 235260513135793, 26584441817080579, 3004041939303605849, 339456739008837555614]$ |
$10297$ |
$[10297, 164721109, 2087982999529, 26590343701211941, 339457006153736073232, 4334516573096765815621141, 55347517253632027400921991193, 706732549702767788814191208201669, 9024267969131623713294625980436914601, 115230877652873901171466148015872098893824]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.35769069.1 |
$D_{4}$ |
simple |
2.113.az_oo |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 378 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12901, 1447148, 163084545, 18424364169, 2081948340322, 235260508833593, 26584441798798209, 3004041939751728524, 339456739018449206661]$ |
$10298$ |
$[10298, 164747404, 2088091394216, 26590505145280256, 339456967006765781818, 4334515995978401155526656, 55347516241494180958173408602, 706732549216741194834211034307584, 9024267970477803023586633141844697384, 115230877656136640892317254002656962458124]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.23789324.1 |
$D_{4}$ |
simple |
2.113.az_op |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 379 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12903, 1447223, 163085531, 18424361794, 2081948056407, 235260504451243, 26584441780955923, 3004041940234059749, 339456739028645151678]$ |
$10299$ |
$[10299, 164773701, 2088199791171, 26590665938206581, 339456923254001673264, 4334515404881876896274541, 55347515210500214378449822611, 706732548742413990703785279046725, 9024267971926746253088810474629706739, 115230877659597723138893533753307100093696]$ |
$44$ |
$44$ |
$2$ |
$2$ |
$1$ |
4.0.14115725.1 |
$D_{4}$ |
simple |
2.113.az_oq |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 113 x^{2} )( 1 - 11 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12905, 1447298, 163086513, 18424359169, 2081947765790, 235260499989793, 26584441763595553, 3004041940751520674, 339456739039434016025]$ |
$10300$ |
$[10300, 164800000, 2088308190400, 26590826080000000, 339456874895449841500, 4334514799832178995200000, 55347514160897152014959571100, 706732548280898256995230080000000, 9024267973481220575076812729682539200, 115230877663260075847782327898650520000000]$ |
$45$ |
$45$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-331}) \) |
$C_2$, $C_2$ |
1.113.ao $\times$ 1.113.al |
2.113.az_or |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 381 x^{2} - 2825 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12907, 1447373, 163087491, 18424356294, 2081947468483, 235260495450293, 26584441746758883, 3004041941305027049, 339456739050824141022]$ |
$10301$ |
$[10301, 164826301, 2088416591909, 26590985570669621, 339456821931116425936, 4334514180854293449340381, 55347513092932018242773035229, 706732547833304798236439529954725, 9024267975143976941002666172991138581, 115230877667126530536279618008543010820096]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.2148725.2 |
$D_{4}$ |
simple |
2.113.az_os |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 13 x + 113 x^{2} )( 1 - 12 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$89$ |
$[89, 12909, 1447448, 163088465, 18424353169, 2081947164498, 235260490833793, 26584441730487649, 3004041941895489224, 339456739062823584189]$ |
$10302$ |
$[10302, 164852604, 2088524995704, 26591144410224576, 339456764361007611582, 4334513547973206295708416, 55347512006851837459115520558, 706732547400743142911085996482304, 9024267976917750080494868672542942776, 115230877671199822383859683645328765745724]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-283}) \), \(\Q(\sqrt{-77}) \) |
$C_2$, $C_2$ |
1.113.an $\times$ 1.113.am |
2.113.ay_kz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 285 x^{2} - 2712 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$90$ |
$[90, 12764, 1441458, 163000500, 18423927690, 2081951101118, 235260544576266, 26584441479705124, 3004041931836722514, 339456738971660776364]$ |
$10319$ |
$[10319, 162947329, 2079874690544, 26576802076930201, 339448925230580404439, 4334521743815461045770496, 55347524650333995569477728679, 706732540733829712076859317914089, 9024267946700793045391318179955274096, 115230877640253992920680976725196439294449]$ |
$20$ |
$20$ |
$2$ |
$2$ |
$1$ |
4.0.5556025.1 |
$D_{4}$ |
simple |
2.113.ay_la |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 286 x^{2} - 2712 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$90$ |
$[90, 12766, 1441530, 163001662, 18423941850, 2081951325214, 235260548560890, 26584441535460478, 3004041932465656410, 339456738979203336286]$ |
$10320$ |
$[10320, 162973440, 2079978590160, 26576991512064000, 339449186117268027600, 4334522210373120143374080, 55347525587758902519796437840, 706732542216054673228230451200000, 9024267948590136843151556630666694480, 115230877642814365715556351223055200147200]$ |
$156$ |
$156$ |
$2$ |
$2$ |
$1$ |
4.0.49392.1 |
$D_{4}$ |
simple |
2.113.ay_lb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 287 x^{2} - 2712 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$90$ |
$[90, 12768, 1441602, 163002820, 18423955770, 2081951542374, 235260552408762, 26584441588876420, 3004041933053977122, 339456738986048774688]$ |
$10321$ |
$[10321, 162999553, 2080082491492, 26577180295367049, 339449442582058182001, 4334522662490334723717136, 55347526493011458285504739153, 706732543636087672851843725328393, 9024267950357476933036623626379653476, 115230877645138095912550557593174334482113]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.310501008.1 |
$D_{4}$ |
simple |
2.113.ay_lc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 288 x^{2} - 2712 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$90$ |
$[90, 12770, 1441674, 163003974, 18423969450, 2081951752610, 235260556120890, 26584441639994494, 3004041933602834202, 339456738992222314850]$ |
$10322$ |
$[10322, 163025668, 2080186394546, 26577368426846224, 339449694624953456882, 4334523100192088347332100, 55347527366328805342319432978, 706732544995033134968248016830464, 9024267952006266617467211883183421394, 115230877647233745724040896617438714733828]$ |
$34$ |
$34$ |
$4$ |
$8$ |
$4$ |
\(\Q(i, \sqrt{82})\) |
$C_2^2$ |
simple |
2.113.ay_ld |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 113 x^{2} )( 1 - 3 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$90$ |
$[90, 12772, 1441746, 163005124, 18423982890, 2081951955934, 235260559698282, 26584441688856196, 3004041934113372018, 339456738997748903332]$ |
$10323$ |
$[10323, 163051785, 2080290299328, 26577555906508425, 339449942245956475923, 4334523523503364593192960, 55347528207948086169516574899, 706732546293994207544192347209225, 9024267953539943625910215385860391872, 115230877649109783427935816756263076532425]$ |
$95$ |
$95$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-443}) \) |
$C_2$, $C_2$ |
1.113.av $\times$ 1.113.ad |
2.113.ay_le |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 290 x^{2} - 2712 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$90$ |
$[90, 12774, 1441818, 163006270, 18423996090, 2081952152358, 235260563141946, 26584441735502974, 3004041934586729754, 339456739002653210214]$ |
$10324$ |
$[10324, 163077904, 2080394205844, 26577742734360576, 339450185445069897364, 4334523932449147058922256, 55347529018106443250074370644, 706732547534072762492670767529984, 9024267954961930114878731088495525076, 115230877650774583449144528175147369099024]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.147600.1 |
$D_{4}$ |
simple |