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.abb_nx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 361 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12763, 1443303, 163029523, 18424047342, 2081951297323, 235260586061007, 26584442418763171, 3004041939980759919, 339456738991147257118]$ |
$10053$ |
$[10053, 162949077, 2082535980669, 26581533731137989, 339451129707277909248, 4334522152309830917290341, 55347534410057908769748779181, 706732565698163843372783271536325, 9024267971165822942143967733349869381, 115230877646868810130834773416082622205952]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.6641901.1 |
$D_{4}$ |
simple |
2.113.abb_ny |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 362 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12765, 1443384, 163030993, 18424063407, 2081951438370, 235260587808879, 26584442445595873, 3004041940259697432, 339456738992007161325]$ |
$10054$ |
$[10054, 162975340, 2082652962016, 26581773399033600, 339451425690157452694, 4334522445962651811362560, 55347534821263280299349515606, 706732566411496258552903621401600, 9024267972003762929448200666279026144, 115230877647160710408761515470754708163500]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.555677100.1 |
$D_{4}$ |
simple |
2.113.abb_nz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 363 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12767, 1443465, 163032459, 18424079202, 2081951570639, 235260589373421, 26584442469610291, 3004041940502260275, 339456738992407067582]$ |
$10055$ |
$[10055, 163001605, 2082769945535, 26582012415551125, 339451716698563660400, 4334522721340085382908605, 55347535189338329244468758495, 706732567049906165840369724109125, 9024267972732431882666343111657253055, 115230877647296461282658803135795623558400]$ |
$46$ |
$46$ |
$2$ |
$2$ |
$1$ |
4.0.570467293.1 |
$D_{4}$ |
simple |
2.113.abb_oa |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 364 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12769, 1443546, 163033921, 18424094727, 2081951694142, 235260590755767, 26584442490859009, 3004041940710042042, 339456738992382623809]$ |
$10056$ |
$[10056, 163027872, 2082886931232, 26582250780699264, 339452002732501562376, 4334522978467116472762368, 55347535514549841203333752392, 706732567614791481494375188572672, 9024267973356617024993318401903075872, 115230877647288163679200388021939165722272]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.145617192.1 |
$D_{4}$ |
simple |
2.113.abb_ob |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 365 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12771, 1443627, 163035379, 18424109982, 2081951808891, 235260591957051, 26584442509394563, 3004041940884630495, 339456738991969127646]$ |
$10057$ |
$[10057, 163054141, 2083003919113, 26582488494486741, 339452283791976232192, 4334523217368729955493677, 55347535797164601788466821857, 706732568107548845724191101682853, 9024267973881088060051669505750227441, 115230877647147799620153374210935439036416]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.3501693.2 |
$D_{4}$ |
simple |
2.113.abb_oc |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 113 x^{2} )( 1 - 7 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12773, 1443708, 163036833, 18424124967, 2081951914898, 235260592978407, 26584442525269441, 3004041941027607564, 339456738991201526693]$ |
$10058$ |
$[10058, 163080412, 2083120909184, 26582725556922304, 339452559876992787098, 4334523438069910739670016, 55347536037449396626938423146, 706732568529573622689307453075200, 9024267974310597171891607657043159936, 115230877646887232303847844907905247490652]$ |
$26$ |
$26$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-403}) \) |
$C_2$, $C_2$ |
1.113.au $\times$ 1.113.ah |
2.113.abb_od |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 367 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12775, 1443789, 163038283, 18424139682, 2081952012175, 235260593820969, 26584442538536083, 3004041941140549347, 339456738990114418750]$ |
$10059$ |
$[10059, 163106685, 2083237901451, 26582961968014725, 339452830987556388144, 4334523640595643768118965, 55347536235671011360622030451, 706732568882259900499576682986725, 9024267974649879024991062450107977419, 115230877646518206186646489753579393824000]$ |
$136$ |
$136$ |
$2$ |
$2$ |
$1$ |
4.0.602788725.1 |
$D_{4}$ |
simple |
2.113.abb_oe |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 368 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12777, 1443870, 163039729, 18424154127, 2081952100734, 235260594485871, 26584442549246881, 3004041941225026110, 339456738988742052057]$ |
$10060$ |
$[10060, 163132960, 2083354895920, 26583197727772800, 339453097123672240300, 4334523824970914018191360, 55347536392096231646450861740, 706732569167000491215359367897600, 9024267974903650764255733421489235760, 115230877646052347064414232812667301888800]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.1866312.1 |
$D_{4}$ |
simple |
2.113.abb_of |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 369 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12779, 1443951, 163041171, 18424168302, 2081952180587, 235260594974247, 26584442557454179, 3004041941282602287, 339456738987118325534]$ |
$10061$ |
$[10061, 163159237, 2083471892597, 26583432836205349, 339453358285345592576, 4334523991220706502025173, 55347536506991843156676449237, 706732569385186930847672058694917, 9024267975076612015019143137975508157, 115230877645501162153987861254802740662272]$ |
$49$ |
$49$ |
$2$ |
$2$ |
$1$ |
4.0.604319533.1 |
$D_{4}$ |
simple |
2.113.abb_og |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 370 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12781, 1444032, 163042609, 18424182207, 2081952251746, 235260595287231, 26584442563210273, 3004041941314836480, 339456738985276789021]$ |
$10062$ |
$[10062, 163185516, 2083588891488, 26583667293321216, 339453614472581738142, 4334524139370006266810112, 55347536580624631579129059582, 706732569538209479358337286135808, 9024267975173444883042691810969428576, 115230877644876040174645654744719116438316]$ |
$130$ |
$130$ |
$2$ |
$2$ |
$1$ |
4.0.7429612.1 |
$D_{4}$ |
simple |
2.113.abb_oh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 371 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12783, 1444113, 163044043, 18424195842, 2081952314223, 235260595425957, 26584442566567411, 3004041941323281459, 339456738983250643518]$ |
$10063$ |
$[10063, 163211797, 2083705892599, 26583901099129269, 339453865685386014448, 4334524269443798395052941, 55347536613261382617479968711, 706732569627457120660135748427525, 9024267975198813954515713457391102391, 115230877644188251429577015558512817796352]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.12188349.2 |
$D_{4}$ |
simple |
2.113.abb_oi |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 372 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12785, 1444194, 163045473, 18424209207, 2081952368030, 235260595391559, 26584442567577793, 3004041941309484162, 339456738981072741425]$ |
$10064$ |
$[10064, 163238080, 2083822895936, 26584134253638400, 339454111923763803344, 4334524381467068004843520, 55347536605168881991505596496, 706732569654317562616960695782400, 9024267975157366296055533627437313344, 115230877643448947887352099443060449592000]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.36919900.1 |
$D_{4}$ |
simple |
2.113.abb_oj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 373 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12787, 1444275, 163046899, 18424222302, 2081952413179, 235260595185171, 26584442566293571, 3004041941274985695, 339456738978775586782]$ |
$10065$ |
$[10065, 163264365, 2083939901505, 26584366756857525, 339454353187720531200, 4334524475464800250121565, 55347536556613915437353506185, 706732569620177237043974526845925, 9024267975053731454707528719652858665, 115230877642669163263391447235864481075200]$ |
$152$ |
$152$ |
$2$ |
$2$ |
$1$ |
4.0.582374133.1 |
$D_{4}$ |
simple |
2.113.abb_ok |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 374 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12789, 1444356, 163048321, 18424235127, 2081952449682, 235260594807927, 26584442562766849, 3004041941221321332, 339456738976391335509]$ |
$10066$ |
$[10066, 163290652, 2084056909312, 26584598608795584, 339454589477261669026, 4334524551461980320944128, 55347536467863268707810273682, 706732569526421299707767611936512, 9024267974892521457945186903904609792, 115230877641859813101435617262811862943772]$ |
$44$ |
$44$ |
$2$ |
$2$ |
$1$ |
4.0.4729788.1 |
$D_{4}$ |
simple |
2.113.abb_ol |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 375 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12791, 1444437, 163049739, 18424247682, 2081952477551, 235260594260961, 26584442557049683, 3004041941150020515, 339456738973951795646]$ |
$10067$ |
$[10067, 163316941, 2084173919363, 26584829809461541, 339454820792392732592, 4334524609483593443753797, 55347536339183727572571231707, 706732569374433630326519358075813, 9024267974678330813670170672983524611, 115230877641031694855014818531541542313216]$ |
$34$ |
$34$ |
$2$ |
$2$ |
$1$ |
4.0.560617477.1 |
$D_{4}$ |
simple |
2.113.abb_om |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 376 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12793, 1444518, 163051153, 18424259967, 2081952496798, 235260593545407, 26584442549194081, 3004041941062606854, 339456738971488427593]$ |
$10068$ |
$[10068, 163343232, 2084290931664, 26585060358864384, 339455047133119282548, 4334524649554624881647616, 55347536170842077818512093876, 706732569165596832570161530828800, 9024267974415736510212381043694828496, 115230877640195487968918544738329526855552]$ |
$126$ |
$126$ |
$2$ |
$2$ |
$1$ |
4.0.34213896.2 |
$D_{4}$ |
simple |
2.113.abb_on |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 377 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12795, 1444599, 163052563, 18424271982, 2081952507435, 235260592662399, 26584442539252003, 3004041940960598127, 339456738969032344350]$ |
$10069$ |
$[10069, 163369525, 2084407946221, 26585290257013125, 339455268499446924544, 4334524671700059934646725, 55347535963105105249962463741, 706732568901292234060543848013125, 9024267974109298016330023428431935669, 115230877639361753960665209106614223360000]$ |
$162$ |
$162$ |
$2$ |
$2$ |
$1$ |
4.0.10525.1 |
$D_{4}$ |
simple |
2.113.abb_oo |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 113 x^{2} )( 1 - 8 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12797, 1444680, 163053969, 18424283727, 2081952509474, 235260591613071, 26584442527275361, 3004041940845506280, 339456738966614311757]$ |
$10070$ |
$[10070, 163395820, 2084524963040, 26585519503916800, 339455484891381309350, 4334524675944883939966720, 55347535716239595688981233830, 706732568582899886371601860377600, 9024267973763557281209675198365399520, 115230877638540936501971780075500205325100]$ |
$48$ |
$48$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-97}) \) |
$C_2$, $C_2$ |
1.113.at $\times$ 1.113.ai |
2.113.abb_op |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 379 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12799, 1444761, 163055371, 18424295202, 2081952502927, 235260590398557, 26584442513316019, 3004041940718837427, 339456738964264748734]$ |
$10071$ |
$[10071, 163422117, 2084641982127, 26585748099584469, 339455696308928132976, 4334524662314082272288733, 55347535430512334975633879727, 706732568211798565029527134389957, 9024267973383038734466354959514260527, 115230877637743361500223417856795352534272]$ |
$159$ |
$159$ |
$2$ |
$2$ |
$1$ |
4.0.2197.1 |
$C_4$ |
simple |
2.113.abb_oq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 380 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12801, 1444842, 163056769, 18424306407, 2081952487806, 235260589019991, 26584442497425793, 3004041940582091850, 339456738962013727521]$ |
$10072$ |
$[10072, 163448416, 2084759003488, 26585976044025216, 339455902752093136792, 4334524630832640344031232, 55347535106190108968271654232, 706732567789365769512939752314368, 9024267972972249286143593563103603296, 115230877636979237179943111879354456523616]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.120437208.1 |
$D_{4}$ |
simple |
2.113.abb_or |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 381 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12803, 1444923, 163058163, 18424317342, 2081952464123, 235260587478507, 26584442479656451, 3004041940436763999, 339456738959890973918]$ |
$10073$ |
$[10073, 163474717, 2084876027129, 26586203337248149, 339456104220882107648, 4334524581525543605622541, 55347534743539703543812686641, 706732567316977723253063144799525, 9024267972535678326713506871748940001, 115230877636258654164261319139721903050752]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.462658021.1 |
$D_{4}$ |
simple |
2.113.abb_os |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 382 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12805, 1445004, 163059553, 18424328007, 2081952431890, 235260585775239, 26584442460059713, 3004041940284342492, 339456738957925867525]$ |
$10074$ |
$[10074, 163501020, 2084993053056, 26586429979262400, 339456300715300877994, 4334524514417777545774080, 55347534342827904598024992186, 706732566796009373633901271238400, 9024267972077797727076870303145206144, 115230877635591585556385603478286929745500]$ |
$132$ |
$132$ |
$2$ |
$2$ |
$1$ |
4.0.442719900.1 |
$D_{4}$ |
simple |
2.113.abb_ot |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 383 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12807, 1445085, 163060939, 18424338402, 2081952391119, 235260583911321, 26584442438687251, 3004041940126310115, 339456738956147441982]$ |
$10075$ |
$[10075, 163527325, 2085110081275, 26586655970077125, 339456492235355326000, 4334524429534327691754325, 55347533904321498045811396675, 706732566227834391992418163201125, 9024267971603061838563195173075686075, 115230877634987887021070275800387217696000]$ |
$96$ |
$96$ |
$2$ |
$2$ |
$1$ |
4.0.422045973.1 |
$D_{4}$ |
simple |
2.113.abb_ou |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 384 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12809, 1445166, 163062321, 18424348527, 2081952341822, 235260581887887, 26584442415590689, 3004041939964143822, 339456738954584385209]$ |
$10076$ |
$[10076, 163553632, 2085227111792, 26586881309701504, 339456678781051375676, 4334524326900179609663488, 55347533428287269821496381372, 706732565613825173618719846282752, 9024267971115907492930806859694080112, 115230877634457296866086035262020213426272]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.827992.1 |
$D_{4}$ |
simple |
2.113.abb_ov |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 385 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12811, 1445247, 163063699, 18424358382, 2081952284011, 235260579706071, 26584442390821603, 3004041939799314735, 339456738953265039646]$ |
$10077$ |
$[10077, 163579941, 2085344144613, 26587105998144741, 339456860352394996992, 4334524206540318904708917, 55347532914992005879114853157, 706732564955352837756238655747973, 9024267970620754002366924811171182381, 115230877634009436123689611440046596182016]$ |
$144$ |
$144$ |
$2$ |
$2$ |
$1$ |
4.0.378938637.1 |
$D_{4}$ |
simple |
2.113.abb_ow |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 386 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12813, 1445328, 163065073, 18424367967, 2081952217698, 235260577367007, 26584442364431521, 3004041939633288144, 339456738952217402493]$ |
$10078$ |
$[10078, 163606252, 2085461179744, 26587330035416064, 339457036949392205998, 4334524068479731221481216, 55347532364702492192702845006, 706732564253787227601919961395200, 9024267970122003159487744418936258656, 115230877633653808632093407506996708289452]$ |
$54$ |
$54$ |
$2$ |
$2$ |
$1$ |
4.0.4404076.1 |
$D_{4}$ |
simple |
2.113.abb_ox |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 387 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12815, 1445409, 163066443, 18424377282, 2081952142895, 235260574871829, 26584442336471923, 3004041939467523507, 339456738951469125950]$ |
$10079$ |
$[10079, 163632565, 2085578217191, 26587553421524725, 339457208572049064944, 4334523912743402244231085, 55347531777685514756590151831, 706732563510496910306411317102725, 9024267969624039237338520778882196519, 115230877633399801116935144430818557216000]$ |
$70$ |
$70$ |
$2$ |
$2$ |
$1$ |
4.0.334235725.1 |
$D_{4}$ |
simple |
2.113.abb_oy |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 113 x^{2} )( 1 - 9 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12817, 1445490, 163067809, 18424386327, 2081952059614, 235260572221671, 26584442306994241, 3004041939303474450, 339456738951047517457]$ |
$10080$ |
$[10080, 163658880, 2085695256960, 26587776156480000, 339457375220371682400, 4334523739356317697146880, 55347531154207859585694906720, 706732562726849176974254050560000, 9024267969131228989393654363042846080, 115230877633256683272747506220135180470400]$ |
$224$ |
$224$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-371}) \) |
$C_2$, $C_2$ |
1.113.as $\times$ 1.113.aj |
2.113.abb_oz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 389 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12819, 1445571, 163069171, 18424395102, 2081951967867, 235260569417667, 26584442276049859, 3004041939142588767, 339456738950979539934]$ |
$10081$ |
$[10081, 163685197, 2085812299057, 26587998240291189, 339457536894366213376, 4334523548343463344632893, 55347530494536312715820102617, 706732561904210042664077308727397, 9024267968647921649556778624390678297, 115230877633233607844427786235809742262272]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.288843093.1 |
$D_{4}$ |
simple |
2.113.abb_pa |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 390 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12821, 1445652, 163070529, 18424403607, 2081951867666, 235260566460951, 26584442243690113, 3004041938986308420, 339456738951291812021]$ |
$10082$ |
$[10082, 163711516, 2085929343488, 26588219672967616, 339457693594038859442, 4334523339729824991588352, 55347529798937660203952064482, 706732561043944246388794574608128, 9024267968178448932160849557542959616, 115230877633339610708707534589848707525916]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.266172892.1 |
$D_{4}$ |
simple |
2.113.abb_pb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 391 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12823, 1445733, 163071883, 18424411842, 2081951759023, 235260563352657, 26584442209966291, 3004041938836069539, 339456738952010608318]$ |
$10083$ |
$[10083, 163737837, 2086046390259, 26588440454518629, 339457845319395868848, 4334523113540388483687141, 55347529067678688128560876971, 706732560147415251115802670956325, 9024267967727125031968237238305076211, 115230877633583610955622206652906818129152]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.243672741.1 |
$D_{4}$ |
simple |
2.113.abb_pc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 392 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12825, 1445814, 163073233, 18424419807, 2081951641950, 235260560093919, 26584442174929633, 3004041938693302422, 339456738953161859625]$ |
$10084$ |
$[10084, 163764160, 2086163439376, 26588660584953600, 339457992070443536644, 4334522869800139707658240, 55347528301026182589902772676, 706732559215985243767183266585600, 9024267967298246624170819365120438544, 115230877633974410969980812691892381464000]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.13841100.2 |
$D_{4}$ |
simple |
2.113.abb_pd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 393 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12827, 1445895, 163074579, 18424427502, 2081951516459, 235260556685871, 26584442138631331, 3004041938559431535, 339456738954771153182]$ |
$10085$ |
$[10085, 163790485, 2086280490845, 26588880064281925, 339458133847188204800, 4334522608534064591566885, 55347527499246929710324485965, 706732558251015135219906900982725, 9024267966896092864390076825637557285, 115230877634520696512835568659407576780800]$ |
$37$ |
$37$ |
$2$ |
$2$ |
$1$ |
4.0.199642813.1 |
$D_{4}$ |
simple |
2.113.abb_pe |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 394 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12829, 1445976, 163075921, 18424434927, 2081951382562, 235260553129647, 26584442101122529, 3004041938435875512, 339456738956863732909]$ |
$10086$ |
$[10086, 163816812, 2086397544672, 26589098892513024, 339458270649636262326, 4334522329767149105096448, 55347526662607715634569577462, 706732557253864560306039542971392, 9024267966524925388677191311746404832, 115230877635231036802951548156996093209772]$ |
$78$ |
$78$ |
$2$ |
$2$ |
$1$ |
4.0.178344108.1 |
$D_{4}$ |
simple |
2.113.abb_pf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 395 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12831, 1446057, 163077259, 18424442082, 2081951240271, 235260549426381, 26584442062454323, 3004041938324047155, 339456738959464499646]$ |
$10087$ |
$[10087, 163843141, 2086514600863, 26589317069656341, 339458402477794145392, 4334522033524379259831037, 55347525791375326530086734207, 706732556225891877812951699211333, 9024267966188988313513145006578062751, 115230877636113884598276335594409439042816]$ |
$80$ |
$80$ |
$2$ |
$2$ |
$1$ |
4.0.1946637.1 |
$D_{4}$ |
simple |
2.113.abb_pg |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 17 x + 113 x^{2} )( 1 - 10 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12833, 1446138, 163078593, 18424448967, 2081951089598, 235260545577207, 26584442022677761, 3004041938225353434, 339456738962598011393]$ |
$10088$ |
$[10088, 163869472, 2086631659424, 26589534595721344, 339458529331668337448, 4334521719830741109538816, 55347524885816548587340050536, 706732555168454170483530088358400, 9024267965892508235808822367103904416, 115230877637177576277409680567343708152352]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \), \(\Q(\sqrt{-22}) \) |
$C_2$, $C_2$ |
1.113.ar $\times$ 1.113.ak |
2.113.abb_ph |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 397 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12835, 1446219, 163079923, 18424455582, 2081950930555, 235260541583259, 26584441981843843, 3004041938141195487, 339456738966288483550]$ |
$10089$ |
$[10089, 163895805, 2086748720361, 26589751470717525, 339458651211265369344, 4334521388711220750456045, 55347523946198168020121294721, 706732554082907245016391896751525, 9024267965639694232905114026113173969, 115230877638430331921073153476340460032000]$ |
$165$ |
$165$ |
$2$ |
$2$ |
$1$ |
4.0.1525.1 |
$D_{4}$ |
simple |
2.113.abb_pi |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 398 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12837, 1446300, 163081249, 18424461927, 2081950763154, 235260537445671, 26584441940003521, 3004041938072968620, 339456738970559789157]$ |
$10090$ |
$[10090, 163922140, 2086865783680, 26589967694654400, 339458768116591819450, 4334521040190804321571840, 55347522972786971065864166410, 706732552970605632066101631532800, 9024267965434737862573022837490797440, 115230877639880255393579802409788668484700]$ |
$52$ |
$52$ |
$2$ |
$2$ |
$1$ |
4.0.100638108.1 |
$D_{4}$ |
simple |
2.113.abb_pj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 399 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12839, 1446381, 163082571, 18424468002, 2081950587407, 235260533165577, 26584441897207699, 3004041938022062307, 339456738975435459134]$ |
$10091$ |
$[10091, 163948477, 2086982849387, 26590183267541509, 339458880047654313776, 4334520674294478004913653, 55347521965849743985960549907, 706732551832902586243390587147237, 9024267965281813163013772088860599467, 115230877641535334424303811314209424086272]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.83669173.1 |
$D_{4}$ |
simple |
2.113.abb_pk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 400 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12841, 1446462, 163083889, 18424473807, 2081950403326, 235260528744111, 26584441853507233, 3004041937989860190, 339456738980938682521]$ |
$10092$ |
$[10092, 163974816, 2087099917488, 26590398189388416, 339458987004459526092, 4334520291047228025833472, 55347520925653273066078768332, 706732550671150086115378941209088, 9024267965185076652858915905802799536, 115230877643403440689150159475251240845216]$ |
$90$ |
$90$ |
$2$ |
$2$ |
$1$ |
4.0.16979688.2 |
$D_{4}$ |
simple |
2.113.abb_pl |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 401 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12843, 1446543, 163085203, 18424479342, 2081950210923, 235260524182407, 26584441808952931, 3004041937977740079, 339456738987092306718]$ |
$10093$ |
$[10093, 164001157, 2087216987989, 26590612460204709, 339459088987014178048, 4334519890474040653294741, 55347519852464344616483843701, 706732549486698834205800495761925, 9024267965148667331170451871998725021, 115230877645492329892024282333071421591552]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.53505261.1 |
$D_{4}$ |
simple |
2.113.abb_pm |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 16 x + 113 x^{2} )( 1 - 11 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12845, 1446624, 163086513, 18424484607, 2081950010210, 235260519481599, 26584441763595553, 3004041937987073952, 339456738993918837725]$ |
$10094$ |
$[10094, 164027500, 2087334060896, 26590826080000000, 339459185995325039294, 4334519472599902200160000, 55347518746549744972359767966, 706732548280898256995230080000000, 9024267965176706677440935889800104544, 115230877647809641846301733656027983187500]$ |
$27$ |
$27$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-331}) \) |
$C_2$, $C_2$ |
1.113.aq $\times$ 1.113.al |
2.113.abb_pn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 403 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12847, 1446705, 163087819, 18424489602, 2081949801199, 235260514642821, 26584441717485811, 3004041938019227955, 339456739001440440382]$ |
$10095$ |
$[10095, 164053845, 2087451136215, 26591039048783925, 339459278029398927600, 4334519037449799023479245, 55347517608176260494133790055, 706732547055096504921313630558725, 9024267965273298651593599305865094295, 115230877650362900556297849096857135289600]$ |
$66$ |
$66$ |
$2$ |
$2$ |
$1$ |
4.0.29164653.1 |
$D_{4}$ |
simple |
2.113.abb_po |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 404 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12849, 1446786, 163089121, 18424494327, 2081949583902, 235260509667207, 26584441670674369, 3004041938075562402, 339456739009678938609]$ |
$10096$ |
$[10096, 164080192, 2087568213952, 26591251366566144, 339459365089242708976, 4334518585048717524779008, 55347516437610677567802723952, 706732545810640452379000965522432, 9024267965442529693982468326648341952, 115230877653159514298737411155763248734272]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.3757.1 |
$D_{4}$ |
simple |
2.113.abb_pp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 405 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12851, 1446867, 163090419, 18424498782, 2081949358331, 235260504555891, 26584441623211843, 3004041938157431775, 339456739018655815646]$ |
$10097$ |
$[10097, 164106541, 2087685294113, 26591463033356341, 339459447174863297792, 4334518115421644150352157, 55347515235119782605261282857, 706732544548875697720781268337893, 9024267965688468725392485748677907721, 115230877656206775704224315575101645295616]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.11602357.1 |
$D_{4}$ |
simple |
2.113.abb_pq |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 113 x^{2} )( 1 - 12 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12853, 1446948, 163091713, 18424502967, 2081949124498, 235260499310007, 26584441575148801, 3004041938266184724, 339456739028392214293]$ |
$10098$ |
$[10098, 164132892, 2087802376704, 26591674049164224, 339459524286267656898, 4334517628593565391548416, 55347514000970362044632444466, 706732543271146563256921297862400, 9024267966015167147039635028697739776, 115230877659511861838711239190589393204252]$ |
$40$ |
$40$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-227}) \), \(\Q(\sqrt{-77}) \) |
$C_2$, $C_2$ |
1.113.ap $\times$ 1.113.am |
2.113.abb_pr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 407 x^{2} - 3051 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12855, 1447029, 163093003, 18424506882, 2081948882415, 235260493930689, 26584441526535763, 3004041938403164067, 339456739038908937150]$ |
$10099$ |
$[10099, 164159245, 2087919461731, 26591884413999525, 339459596423462797744, 4334517124589467785065605, 55347512735429202350599852411, 706732541978796095255706340815525, 9024267966426658840571066718900642019, 115230877663081834284969309264235606048000]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.1779525.1 |
$D_{4}$ |
simple |
2.113.abb_ps |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 14 x + 113 x^{2} )( 1 - 13 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$87$ |
$[87, 12857, 1447110, 163094289, 18424510527, 2081948632094, 235260488419071, 26584441477423201, 3004041938569706790, 339456739050226446857]$ |
$10100$ |
$[10100, 164185600, 2088036549200, 26592094127872000, 339459663586455780500, 4334516603434337913241600, 55347511438763090014742258900, 706732540673166063943683922944000, 9024267966926960168065227292623275600, 115230877666923639224057774324440520128000]$ |
$0$ |
$0$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-283}) \) |
$C_2$, $C_2$ |
1.113.ao $\times$ 1.113.an |
2.113.aba_mp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 327 x^{2} - 2938 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$88$ |
$[88, 12748, 1442014, 163006260, 18423839568, 2081949558814, 235260549034144, 26584441692069540, 3004041931594135486, 339456738934495376988]$ |
$10133$ |
$[10133, 162746113, 2080675524608, 26577741082581209, 339447301662524550013, 4334518532816667128037376, 55347525699096584799832776269, 706732546379419126873824930871913, 9024267945972051440438534202980298752, 115230877627637947646245930452302811569713]$ |
$10$ |
$10$ |
$2$ |
$2$ |
$1$ |
4.0.74273.1 |
$D_{4}$ |
simple |
2.113.aba_mq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 328 x^{2} - 2938 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$88$ |
$[88, 12750, 1442092, 163007654, 18423856988, 2081949799230, 235260553183016, 26584441756657534, 3004041932395510216, 339456738943502766750]$ |
$10134$ |
$[10134, 162772308, 2080788124950, 26577968346573264, 339447622610465247654, 4334519033351486349923700, 55347526675162613195437270086, 706732548096454905091823686185984, 9024267948379414734933068433565270950, 115230877630695566801477661582170789528628]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.97967936.1 |
$D_{4}$ |
simple |