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.aw_me |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 316 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12918, 1445648, 163057478, 18424354192, 2081953555398, 235260576982012, 26584441872791806, 3004041932053230524, 339456738928439663718]$ |
$10578$ |
$[10578, 164953332, 2085924404754, 26586091339208784, 339456783141929466498, 4334526853513590163794516, 55347532274128211695304591586, 706732551183819703344178151347200, 9024267947351192186510814251713575426, 115230877625582294967554404888514313596052]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.1153138496.1 |
$D_{4}$ |
simple |
2.113.aw_mf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 317 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12920, 1445714, 163058148, 18424350232, 2081953384310, 235260575293864, 26584441869684868, 3004041932116324082, 339456738928856780600]$ |
$10579$ |
$[10579, 164979505, 2086019734156, 26586200586390025, 339456710181703265419, 4334526497316497282968720, 55347531876973545327200685451, 706732551101223486219894178214025, 9024267947540727880512319596176915404, 115230877625723888104083697639138136952625]$ |
$124$ |
$124$ |
$2$ |
$2$ |
$1$ |
4.0.1095566400.1 |
$D_{4}$ |
simple |
2.113.aw_mg |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 318 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12922, 1445780, 163058814, 18424346052, 2081953208314, 235260573565676, 26584441867104126, 3004041932197710860, 339456738929478362682]$ |
$10580$ |
$[10580, 165005680, 2086115065460, 26586309182048000, 339456633168238822900, 4334526130901197882858480, 55347531470399047228103688020, 706732551032615895943053764096000, 9024267947785217174519189406113991380, 115230877625934888330633735120216301788400]$ |
$192$ |
$192$ |
$2$ |
$2$ |
$1$ |
4.0.64898288.1 |
$D_{4}$ |
simple |
2.113.aw_mh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 319 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12924, 1445846, 163059476, 18424341652, 2081953027422, 235260571798372, 26584441865080804, 3004041932297932982, 339456738930306941484]$ |
$10581$ |
$[10581, 165031857, 2086210398672, 26586417126190329, 339456552101540163501, 4334525754292676585899008, 55347531054622098375817255197, 706732550978827005158734676217897, 9024267948086288631765143346047569872, 115230877626216154988728191925670786962497]$ |
$150$ |
$150$ |
$2$ |
$2$ |
$1$ |
4.0.61353488.1 |
$D_{4}$ |
simple |
2.113.aw_mi |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 320 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12926, 1445912, 163060134, 18424337032, 2081952841646, 235260569992876, 26584441863646078, 3004041932417527820, 339456738931344834446]$ |
$10582$ |
$[10582, 165058036, 2086305733798, 26586524418824656, 339456466981611349942, 4334525367515918041215892, 55347530629860079759213916422, 706732550940685610461890598253568, 9024267948445556540277232055166863206, 115230877626568474748992149728667301772116]$ |
$208$ |
$208$ |
$2$ |
$2$ |
$1$ |
4.0.11426112.1 |
$D_{4}$ |
simple |
2.113.aw_mj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 321 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12928, 1445978, 163060788, 18424332192, 2081952650998, 235260568150112, 26584441862831076, 3004041932557027994, 339456738932594145168]$ |
$10583$ |
$[10583, 165084217, 2086401070844, 26586631059958649, 339456377808456483223, 4334524970595906924854416, 55347530196330372378434042951, 706732550919019232397456356602025, 9024267948864620912875875527995416956, 115230877626992561692621724979412645106377]$ |
$76$ |
$76$ |
$2$ |
$2$ |
$1$ |
4.0.870049856.1 |
$D_{4}$ |
simple |
2.113.aw_mk |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 16 x + 113 x^{2} )( 1 - 6 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12930, 1446044, 163061438, 18424327132, 2081952455490, 235260566271004, 26584441862666878, 3004041932716961372, 339456738934056763650]$ |
$10584$ |
$[10584, 165110400, 2086496409816, 26586737049600000, 339456284582079702744, 4334524563557627940009600, 55347529754250357245086423896, 706732550914654115460454809600000, 9024267949345067487174902562320585304, 115230877627489057392853697083075026960000]$ |
$486$ |
$486$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-26}) \) |
$C_2$, $C_2$ |
1.113.aq $\times$ 1.113.ag |
2.113.aw_ml |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 323 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12932, 1446110, 163062084, 18424321852, 2081952255134, 235260564356476, 26584441863184516, 3004041932897851070, 339456738935734366532]$ |
$10585$ |
$[10585, 165136585, 2086591750720, 26586842387756425, 339456187302485186425, 4334524146426065817256960, 55347529303837415382450455065, 706732550928415228096105412553225, 9024267949888467725581591289846109760, 115230877628058530996435137069485500492425]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.47596608.1 |
$D_{4}$ |
simple |
2.113.aw_mm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 324 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12934, 1446176, 163062726, 18424316352, 2081952049942, 235260562407452, 26584441864414974, 3004041933100215452, 339456738937628417334]$ |
$10586$ |
$[10586, 165162772, 2086687093562, 26586947074435664, 339456085969677150826, 4334523719226205314783988, 55347528845308927825679945642, 706732550961126262699934471508992, 9024267950496378815296710805145438282, 115230877628701479305093036766437248312372]$ |
$104$ |
$104$ |
$2$ |
$2$ |
$1$ |
4.0.708707648.1 |
$D_{4}$ |
simple |
2.113.aw_mn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 325 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12936, 1446242, 163063364, 18424310632, 2081951839926, 235260560424856, 26584441866389188, 3004041933324568130, 339456738939740166696]$ |
$10587$ |
$[10587, 165188961, 2086782438348, 26587051109645481, 339455980583659851267, 4334523281983031218622352, 55347528378882275622008547747, 706732551013609635617887098732873, 9024267951170343668314563908609906316, 115230877629418326857003938488559225192641]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.656946752.1 |
$D_{4}$ |
simple |
2.113.aw_mo |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 326 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12938, 1446308, 163063998, 18424304692, 2081951625098, 235260558409612, 26584441869138046, 3004041933571417964, 339456738942070652618]$ |
$10588$ |
$[10588, 165215152, 2086877785084, 26587154493393664, 339455871144437581948, 4334522834721528342880816, 55347527904774839830956813916, 706732551086686487146440882892800, 9024267951911890921423030979202748636, 115230877630209426008263565253901584603952]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.37897776.1 |
$D_{4}$ |
simple |
2.113.aw_mp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 327 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12940, 1446374, 163064628, 18424298532, 2081951405470, 235260556362644, 26584441872692388, 3004041933841269062, 339456738944620700700]$ |
$10589$ |
$[10589, 165241345, 2086973133776, 26587257225688025, 339455757652014676069, 4334522377466681529978880, 55347527423204001524540887541, 706732551181176681532721286994025, 9024267952722534936203614992947121104, 115230877631075057014356451540532411928625]$ |
$164$ |
$164$ |
$2$ |
$2$ |
$1$ |
4.0.2176025.1 |
$D_{4}$ |
simple |
2.113.aw_mq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 328 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12942, 1446440, 163065254, 18424292152, 2081951181054, 235260554284876, 26584441877083006, 3004041934134620780, 339456738947390924382]$ |
$10590$ |
$[10590, 165267540, 2087068484430, 26587359306536400, 339455640106395505950, 4334521910243475650881140, 55347526934387141787482831310, 706732551297898806974618787148800, 9024267953603775799031487703193884590, 115230877632015428111625574595608556603700]$ |
$174$ |
$174$ |
$2$ |
$2$ |
$1$ |
4.0.509142848.1 |
$D_{4}$ |
simple |
2.113.aw_mr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 329 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12944, 1446506, 163065876, 18424285552, 2081950951862, 235260552177232, 26584441882340644, 3004041934451967722, 339456738950381725184]$ |
$10591$ |
$[10591, 165293737, 2087163837052, 26587460735946649, 339455518507584483151, 4334521433076895605332368, 55347526438541641717422598687, 706732551437670175620907765304937, 9024267954557099321075536998832839292, 115230877633030675598741986309547802377497]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.5712448.2 |
$D_{4}$ |
simple |
2.113.aw_ms |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 330 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12946, 1446572, 163066494, 18424278732, 2081950717906, 235260550040636, 26584441888495998, 3004041934793799740, 339456738953593292946]$ |
$10592$ |
$[10592, 165319936, 2087259191648, 26587561513926656, 339455392855586058592, 4334520945991926322093312, 55347525935884882425131653472, 706732551601306823571367169097728, 9024267955583977038298415456729396576, 115230877634120863918174445668095242972416]$ |
$180$ |
$180$ |
$2$ |
$2$ |
$1$ |
4.0.1632272.3 |
$D_{4}$ |
simple |
2.113.aw_mt |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 113 x^{2} )( 1 - 7 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12948, 1446638, 163067108, 18424271692, 2081950479198, 235260547876012, 26584441895579716, 3004041935160601934, 339456738957025606068]$ |
$10593$ |
$[10593, 165346137, 2087354548224, 26587661640484329, 339455263150404722673, 4334520449013552759177216, 55347525426634245034728242481, 706732551789623510876902952030025, 9024267956685866211456590104787337216, 115230877635285985737659051795243543358777]$ |
$120$ |
$120$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-227}) \), \(\Q(\sqrt{-403}) \) |
$C_2$, $C_2$ |
1.113.ap $\times$ 1.113.ah |
2.113.aw_mu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 332 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12950, 1446704, 163067718, 18424264432, 2081950235750, 235260545684284, 26584441903622398, 3004041935552854652, 339456738960678431750]$ |
$10594$ |
$[10594, 165372340, 2087449906786, 26587761115627600, 339455129392045005394, 4334519942166759904087060, 55347524911007110683894326386, 706732552003433721539672307225600, 9024267957864209826100393412157329554, 115230877636525962031668877600134768188500]$ |
$124$ |
$124$ |
$2$ |
$2$ |
$1$ |
4.0.333345600.1 |
$D_{4}$ |
simple |
2.113.aw_mv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 333 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12952, 1446770, 163068324, 18424256952, 2081949987574, 235260543466376, 26584441912654596, 3004041935971033490, 339456738964551326232]$ |
$10595$ |
$[10595, 165398545, 2087545267340, 26587859939364425, 339454991580511476475, 4334519425476532774053520, 55347524389220860524094173755, 706732552243549663513209708041225, 9024267959120436592574075523230268620, 115230877637840642162883604041240652342225]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.293883968.1 |
$D_{4}$ |
simple |
2.113.aw_mw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 334 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12954, 1446836, 163068926, 18424249252, 2081949734682, 235260541223212, 26584441922706814, 3004041936415609292, 339456738968643635034]$ |
$10596$ |
$[10596, 165424752, 2087640629892, 26587958111702784, 339454849715808745476, 4334518898967856416273648, 55347523861492875720794623332, 706732552510782268702554768863232, 9024267960455960946015857752174247652, 115230877639229803963659155021288577637872]$ |
$156$ |
$156$ |
$2$ |
$2$ |
$1$ |
4.0.16026608.1 |
$D_{4}$ |
simple |
2.113.aw_mx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 335 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12956, 1446902, 163069524, 18424241332, 2081949477086, 235260538955716, 26584441933809508, 3004041936887048150, 339456738972954493196]$ |
$10597$ |
$[10597, 165450961, 2087735994448, 26588055632650681, 339454703797941461917, 4334518362665715908150272, 55347523328040537453687019597, 706732552805941192964381939454633, 9024267961872183046357987354894086736, 115230877640693153817497332926572108161441]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.13817232.1 |
$D_{4}$ |
simple |
2.113.aw_my |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 336 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12958, 1446968, 163070118, 18424233192, 2081949214798, 235260536664812, 26584441945993086, 3004041937385811404, 339456738977482825518]$ |
$10598$ |
$[10598, 165477172, 2087831361014, 26588152502216144, 339454553826914315398, 4334517816595096357532116, 55347522789081226916910826646, 706732553129834816107132046259200, 9024267963370488778326793595412819446, 115230877642230326740515454824457728040852]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.187939136.1 |
$D_{4}$ |
simple |
2.113.aw_mz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 337 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12960, 1447034, 163070708, 18424224832, 2081948947830, 235260534351424, 26584441959287908, 3004041937912355642, 339456738982227346800]$ |
$10599$ |
$[10599, 165503385, 2087926729596, 26588248720407225, 339454399802732035719, 4334517260780982902954640, 55347522244832325319278925431, 706732553483270241891145694109225, 9024267964952249751442745123795377404, 115230877643840886462915989333073423419625]$ |
$82$ |
$82$ |
$2$ |
$2$ |
$1$ |
4.0.157121600.1 |
$D_{4}$ |
simple |
2.113.aw_na |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 113 x^{2} )( 1 - 8 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12962, 1447100, 163071294, 18424216252, 2081948676194, 235260532016476, 26584441973724286, 3004041938467132700, 339456738987186562082]$ |
$10600$ |
$[10600, 165529600, 2088022100200, 26588344287232000, 339454241725399393000, 4334516695248360713881600, 55347521695511213884504599400, 706732553867053298028798541824000, 9024267966618823300020508682855914600, 115230877645524325510456194177339958528000]$ |
$156$ |
$156$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-97}) \) |
$C_2$, $C_2$ |
1.113.ao $\times$ 1.113.ai |
2.113.aw_nb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 22 x + 339 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$92$ |
$[92, 12964, 1447166, 163071876, 18424207452, 2081948399902, 235260529660892, 26584441989332484, 3004041939050589662, 339456738992358766884]$ |
$10601$ |
$[10601, 165555817, 2088117472832, 26588439202698569, 339454079594921197801, 4334516120022214990947328, 55347521141335273851430213577, 706732554281988536184638465226377, 9024267968371552483169009161011778112, 115230877647280065285917754445682117723497]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.6429248.1 |
$D_{4}$ |
simple |
2.113.aw_nc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 340 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12966, 1447232, 163072454, 18424198432, 2081948118966, 235260527285596, 26584442006142718, 3004041939663168860, 339456738997742047446]$ |
$10602$ |
$[10602, 165582036, 2088212847498, 26588533466815056, 339453913411302301242, 4334515535127530966199732, 55347520582521886474257592122, 706732554728879231975524621145088, 9024267970211766084791491008769059546, 115230877649107456150576421561934824809716]$ |
$88$ |
$88$ |
$2$ |
$2$ |
$1$ |
4.0.79644992.1 |
$D_{4}$ |
simple |
2.113.aw_nd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 341 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12968, 1447298, 163073028, 18424189192, 2081947833398, 235260524891512, 26584442024185156, 3004041940305307874, 339456739003334280968]$ |
$10603$ |
$[10603, 165608257, 2088308224204, 26588627079589609, 339453743174547595123, 4334514940589293903344016, 55347520019288433022780099411, 706732555208527384970768426010825, 9024267972140778613585581036446952076, 115230877651005777505671652987137911470177]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.59167296.2 |
$D_{4}$ |
simple |
2.113.aw_ne |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 342 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12970, 1447364, 163073598, 18424179732, 2081947543210, 235260522479564, 26584442043489918, 3004041940977439532, 339456739009133135850]$ |
$10604$ |
$[10604, 165634480, 2088403602956, 26588720041030400, 339453568884662012044, 4334514336432489097987120, 55347519451852294782616429676, 706732555721733718692276462694400, 9024267974159890303043352610870791404, 115230877652974237873876252666093391902000]$ |
$150$ |
$150$ |
$2$ |
$2$ |
$1$ |
4.0.2596400.1 |
$D_{4}$ |
simple |
2.113.aw_nf |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 113 x^{2} )( 1 - 9 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12972, 1447430, 163074164, 18424170052, 2081947248414, 235260520050676, 26584442064087076, 3004041941679991910, 339456739015136071932]$ |
$10605$ |
$[10605, 165660705, 2088498983760, 26588812351145625, 339453390541650525525, 4334513722682101877882880, 55347518880430853055446110245, 706732556269297680614695329275625, 9024267976270387111451391268886675280, 115230877655011974980766012233740414331025]$ |
$144$ |
$144$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-283}) \), \(\Q(\sqrt{-371}) \) |
$C_2$, $C_2$ |
1.113.an $\times$ 1.113.aj |
2.113.aw_ng |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 344 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12974, 1447496, 163074726, 18424160152, 2081946949022, 235260517605772, 26584442086006654, 3004041942413388332, 339456739021340340734]$ |
$10606$ |
$[10606, 165686932, 2088594366622, 26588904009943504, 339453208145518150126, 4334513099363117603177908, 55347518305241489159246723422, 706732556852017442165558443471872, 9024267978473540721890861765673935422, 115230877657118055836289352996585605664372]$ |
$30$ |
$30$ |
$2$ |
$2$ |
$1$ |
4.0.90432.3 |
$D_{4}$ |
simple |
2.113.aw_nh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 345 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12976, 1447562, 163075284, 18424150032, 2081946645046, 235260515145776, 26584442109278628, 3004041943178047370, 339456739027742985696]$ |
$10607$ |
$[10607, 165713161, 2088689751548, 26588995017432281, 339453021696269941567, 4334512466500521666658192, 55347517726501584428532852047, 706732557470689898725434816495593, 9024267980770608542237576575955477756, 115230877659291476816236968704610306717241]$ |
$23$ |
$23$ |
$2$ |
$2$ |
$1$ |
4.0.6865472.2 |
$D_{4}$ |
simple |
2.113.aw_ni |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 12 x + 113 x^{2} )( 1 - 10 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12978, 1447628, 163075838, 18424139692, 2081946336498, 235260512671612, 26584442133932926, 3004041943974382844, 339456739034340842418]$ |
$10608$ |
$[10608, 165739392, 2088785138544, 26589085373620224, 339452831193910996848, 4334511824119299493996416, 55347517144428520214596753776, 706732558126110669628079810150400, 9024267983162833705162065866330111856, 115230877661531163743711469129261215866752]$ |
$64$ |
$64$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-77}) \), \(\Q(\sqrt{-22}) \) |
$C_2$, $C_2$ |
1.113.am $\times$ 1.113.ak |
2.113.aw_nj |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 11 x + 113 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$92$ |
$[92, 12980, 1447694, 163076388, 18424129132, 2081946023390, 235260510184204, 26584442159999428, 3004041944802803822, 339456739041130538900]$ |
$10609$ |
$[10609, 165765625, 2088880527616, 26589175078515625, 339452636638446454369, 4334511172244436544000000, 55347516559239677885750769121, 706732558819074098160587891015625, 9024267985651445068129648957075458304, 115230877663835971970597024463317222265625]$ |
$45$ |
$45$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-331}) \) |
$C_2$ |
1.113.al 2 |
2.113.av_in |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 221 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12771, 1440441, 162996787, 18424103238, 2081951866779, 235260516732201, 26584441302236803, 3004041935185713333, 339456738996218878686]$ |
$10597$ |
$[10597, 163034845, 2078409627733, 26576196774232725, 339452159541926129872, 4334523337882237938529165, 55347518099724751093966254733, 706732536015933489691737725593125, 9024267956761301905076561296933166797, 115230877648590406249832973317896364953600]$ |
$26$ |
$26$ |
$2$ |
$2$ |
$1$ |
4.0.101372517.1 |
$D_{4}$ |
simple |
2.113.av_io |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 222 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12773, 1440504, 162997665, 18424114893, 2081952091154, 235260520384269, 26584441345450945, 3004041935697383016, 339456739003798543013]$ |
$10598$ |
$[10598, 163060828, 2078500489688, 26576339907404224, 339452374278707120438, 4334523805020796168262656, 55347518958912250598710727174, 706732537164757324138090982446848, 9024267958298379091578599556909519512, 115230877651163374385204684215498218816988]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.5847772.1 |
$D_{4}$ |
simple |
2.113.av_ip |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 223 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12775, 1440567, 162998539, 18424126338, 2081952310255, 235260523939611, 26584441386913939, 3004041936176710641, 339456739010840914750]$ |
$10599$ |
$[10599, 163086813, 2078591352975, 26576482388476869, 339452585146288750704, 4334524261179129225616725, 55347519795343941411696254631, 706732538267027866810572048456549, 9024267959738299379402958685813485975, 115230877653553954930072713715498580329728]$ |
$66$ |
$66$ |
$2$ |
$2$ |
$1$ |
4.0.465619221.1 |
$D_{4}$ |
simple |
2.113.av_iq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 224 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12777, 1440630, 162999409, 18424137573, 2081952524094, 235260527399109, 26584441426657441, 3004041936624482070, 339456739017362599257]$ |
$10600$ |
$[10600, 163112800, 2078682217600, 26576624217456000, 339452792144672113000, 4334524706382220253132800, 55347520609227323219333986600, 706732539323586674807190647232000, 9024267961083423530961087468103580800, 115230877655767784685792613711601544124000]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.159667992.1 |
$D_{4}$ |
simple |
2.113.av_ir |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 225 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12779, 1440693, 163000275, 18424148598, 2081952732683, 235260530763645, 26584441464713059, 3004041937041478629, 339456739023379990814]$ |
$10601$ |
$[10601, 163138789, 2078773083569, 26576765394346981, 339452995273858326416, 4334525140655052402240181, 55347521400769895707515948881, 706732540335274029171858411539589, 9024267962336098682330110382993219801, 115230877657810428801191511822002805428224]$ |
$34$ |
$34$ |
$2$ |
$2$ |
$1$ |
4.0.805763725.1 |
$D_{4}$ |
simple |
2.113.av_is |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 21 x + 113 x^{2} )( 1 + 113 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$93$ |
$[93, 12781, 1440756, 163001137, 18424159413, 2081952936034, 235260534034101, 26584441501112353, 3004041937428477108, 339456739028909272861]$ |
$10602$ |
$[10602, 163164780, 2078863950888, 26576905919155200, 339453194533848536922, 4334525564022608833416960, 55347522170179158561688338618, 706732541302928934894394129920000, 9024267963498658343252821357539671592, 115230877659687380854037727092022180153900]$ |
$104$ |
$104$ |
$2$ |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-113}) \) |
$C_2$, $C_2$ |
1.113.av $\times$ 1.113.a |
2.113.av_it |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 227 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12783, 1440819, 163001995, 18424170018, 2081953134159, 235260537211359, 26584441535886835, 3004041937786249761, 339456739033966418238]$ |
$10603$ |
$[10603, 163190773, 2078954819563, 26577045791886069, 339453389924643917488, 4334525976509872716351661, 55347522917662611466925948299, 706732542227389120910529644276613, 9024267964573422397137677636416740547, 115230877661404062932510385656329989522688]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.1122324813.1 |
$D_{4}$ |
simple |
2.113.av_iu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 228 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12785, 1440882, 163002849, 18424180413, 2081953327070, 235260540296301, 26584441569067969, 3004041938115564306, 339456739038567189425]$ |
$10604$ |
$[10604, 163216768, 2079045689600, 26577185012545024, 339453581446245668204, 4334526378141827230105600, 55347523643427754108007723756, 706732543109491040101916407486464, 9024267965562697101058793774676281600, 115230877662965825716669036362511756755328]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.79495336.1 |
$D_{4}$ |
simple |
2.113.av_iv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 229 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12787, 1440945, 163003699, 18424190598, 2081953514779, 235260543289809, 26584441600687171, 3004041938417183925, 339456739042727138782]$ |
$10605$ |
$[10605, 163242765, 2079136561005, 26577323581137525, 339453769098655016400, 4334526768943455563275965, 55347524347682086169493461205, 706732543950069869296132710125925, 9024267966468775085755935759885295365, 115230877664377948559923266357782277427200]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.1415827413.1 |
$D_{4}$ |
simple |
2.113.av_iw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 230 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12789, 1441008, 163004545, 18424200573, 2081953697298, 235260546192765, 26584441630775809, 3004041938691867264, 339456739046461608789]$ |
$10606$ |
$[10606, 163268764, 2079227433784, 26577461497669056, 339453952881873216766, 4334527148939740914159616, 55347525030633107335801648366, 706732544749959509266691585443584, 9024267967293935355634515270107362936, 115230877665645639570502316640727557472924]$ |
$60$ |
$60$ |
$2$ |
$2$ |
$1$ |
4.0.2486556.1 |
$D_{4}$ |
simple |
2.113.av_ix |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 231 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12791, 1441071, 163005387, 18424210338, 2081953874639, 235260549006051, 26584441659365203, 3004041938940368433, 339456739049785732286]$ |
$10607$ |
$[10607, 163294765, 2079318307943, 26577598762145125, 339454132795901551472, 4334527518155666490917605, 55347525692488317291288454703, 706732545509992584733049401753125, 9024267968040443288765584074279553487, 115230877666774035692924697580021367123200]$ |
$38$ |
$38$ |
$2$ |
$2$ |
$1$ |
4.0.1686802597.1 |
$D_{4}$ |
simple |
2.113.av_iy |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 232 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12793, 1441134, 163006225, 18424219893, 2081954046814, 235260551730549, 26584441686486625, 3004041939163437006, 339456739052714432713]$ |
$10608$ |
$[10608, 163320768, 2079409183488, 26577735374571264, 339454308840741330288, 4334527876616215511740416, 55347526333455215720327875824, 706732546231000444360615151459328, 9024267968710550636885828581618674432, 115230877667768202789467804402132238909888]$ |
$210$ |
$210$ |
$2$ |
$2$ |
$1$ |
4.0.113375628.1 |
$D_{4}$ |
simple |
2.113.av_iz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 233 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12795, 1441197, 163007059, 18424229238, 2081954213835, 235260554367141, 26584441712171299, 3004041939361818021, 339456739055262424350]$ |
$10609$ |
$[10609, 163346773, 2079500060425, 26577871334953029, 339454481016393890704, 4334528224346371205013925, 55347526953741302307393037081, 706732546913813160760760445970629, 9024267969306495525397564546773833425, 115230877668633135721637532650106646908928]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.1935787581.1 |
$D_{4}$ |
simple |
2.113.av_ja |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 234 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12797, 1441260, 163007889, 18424238373, 2081954375714, 235260556916709, 26584441736450401, 3004041939536251980, 339456739057444212557]$ |
$10610$ |
$[10610, 163372780, 2079590938760, 26578006643296000, 339454649322860598050, 4334528561371116809486080, 55347527553554076737138661410, 706732547559259530490830225792000, 9024267969830502453368731937525743880, 115230877669373758431637893615584846233900]$ |
$40$ |
$40$ |
$2$ |
$2$ |
$1$ |
4.0.2052203308.1 |
$D_{4}$ |
simple |
2.113.av_jb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 235 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12799, 1441323, 163008715, 18424247298, 2081954532463, 235260559380135, 26584441759355059, 3004041939687474849, 339456739059274094014]$ |
$10611$ |
$[10611, 163398789, 2079681818499, 26578141299605781, 339454813760142845616, 4334528887715435574434301, 55347528133101038694484706451, 706732548168167074054154195132229, 9024267970284782293532889971917030971, 115230877669994924023840629746277430074624]$ |
$221$ |
$221$ |
$2$ |
$2$ |
$1$ |
4.0.2725.1 |
$D_{4}$ |
simple |
2.113.av_jc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 236 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12801, 1441386, 163009537, 18424256013, 2081954684094, 235260561758301, 26584441780916353, 3004041939816218058, 339456739060766156961]$ |
$10612$ |
$[10612, 163424800, 2079772699648, 26578275303888000, 339454974328242054772, 4334529203404310759833600, 55347528692589687864701175988, 706732548741362035900058990400000, 9024267970671532292289212331781983232, 115230877670501414846254830031203079924000]$ |
$144$ |
$144$ |
$2$ |
$2$ |
$1$ |
4.0.567305928.1 |
$D_{4}$ |
simple |
2.113.av_jd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 237 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12803, 1441449, 163010355, 18424264518, 2081954830619, 235260564052089, 26584441801165315, 3004041939923208501, 339456739061934281438]$ |
$10613$ |
$[10613, 163450813, 2079863582213, 26578408656148309, 339455131027159675088, 4334529508462725636525421, 55347529232227523933494110749, 706732549279669384423881092003493, 9024267970992936069702482559728745917, 115230877670897942571996545366061246681088]$ |
$42$ |
$42$ |
$2$ |
$2$ |
$1$ |
4.0.2369966533.1 |
$D_{4}$ |
simple |
2.113.av_je |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 238 x^{2} - 2373 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$93$ |
$[93, 12805, 1441512, 163011169, 18424272813, 2081954972050, 235260566262381, 26584441820132929, 3004041940009168536, 339456739062792139525]$ |
$10614$ |
$[10614, 163476828, 2079954466200, 26578541356392384, 339455283856897184454, 4334529802915663486387200, 55347529752222046587092763606, 706732549783912811966980488908544, 9024267971251163619503089646711866200, 115230877671189148280758403901187609688028]$ |
$112$ |
$112$ |
$2$ |
$2$ |
$1$ |
4.0.2465623836.1 |
$D_{4}$ |
simple |