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.ax_kx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 283 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12807, 1442461, 163018139, 18424193186, 2081954766519, 235260591880265, 26584442045269651, 3004041938109974383, 339456739037671169982]$ |
$10431$ |
$[10431, 163505925, 2081322808623, 26579677681099125, 339453816777935648496, 4334529375010992112418925, 55347535779099876436237472367, 706732555769046947473947978445125, 9024267965545904727133773347895646407, 115230877662661665878442982983827141664000]$ |
$144$ |
$144$ |
$2$ |
$2$ |
$1$ |
4.0.1809573773.1 |
$D_{4}$ |
simple |
2.113.ax_ky |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 284 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12809, 1442530, 163019121, 18424201811, 2081954869022, 235260593618099, 26584442062992289, 3004041938136487426, 339456739036339305209]$ |
$10432$ |
$[10432, 163532032, 2081422392064, 26579837774255104, 339453975685973140672, 4334529588417528700223488, 55347536187943697109447748288, 706732556240193388214186383921152, 9024267965625551019923909276557988608, 115230877662209555405782870007493933782272]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.357192.2 |
$D_{4}$ |
simple |
2.113.ax_kz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 285 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12811, 1442599, 163020099, 18424210206, 2081954965411, 235260595253215, 26584442079343203, 3004041938144296363, 339456739034743847646]$ |
$10433$ |
$[10433, 163558141, 2081521977209, 26579997215609141, 339454130356384853248, 4334529789094991520615517, 55347536572622023193580148049, 706732556674873312328903838583973, 9024267965649009393947791141198145753, 115230877661667966584206032299374544982016]$ |
$81$ |
$81$ |
$2$ |
$2$ |
$1$ |
4.0.1889794037.1 |
$D_{4}$ |
simple |
2.113.ax_la |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 20 x + 113 x^{2} )( 1 - 3 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12813, 1442668, 163021073, 18424218371, 2081955055698, 235260596786579, 26584442094359521, 3004041938134318204, 339456739032901742493]$ |
$10434$ |
$[10434, 163584252, 2081621564064, 26580156005168064, 339454280789173466274, 4334529977068364272233216, 55347536933362116279263059602, 706732557074073746947447605907200, 9024267965619034585702248262376808096, 115230877661042651576046926112339987979452]$ |
$80$ |
$80$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-443}) \) |
$C_2$, $C_2$ |
1.113.au $\times$ 1.113.ad |
2.113.ax_lb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 287 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12815, 1442737, 163022043, 18424226306, 2081955139895, 235260598219157, 26584442108078323, 3004041938107464991, 339456739030829685950]$ |
$10435$ |
$[10435, 163610365, 2081721152635, 26580314142938725, 339454426984341694000, 4334530152362630672509285, 55347537270391237961472476035, 706732557438780443145848591146725, 9024267965538366407603478365828702035, 115230877660339278018911948185258095136000]$ |
$116$ |
$116$ |
$2$ |
$2$ |
$1$ |
4.0.1954354725.1 |
$D_{4}$ |
simple |
2.113.ax_lc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 288 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12817, 1442806, 163023009, 18424234011, 2081955218014, 235260599551915, 26584442120536641, 3004041938064643798, 339456739028544125457]$ |
$10436$ |
$[10436, 163636480, 2081820742928, 26580471628928000, 339454568941892284996, 4334530315002774457876480, 55347537583936649839676463812, 706732557769977875946871394816000, 9024267965409729747987053500703362832, 115230877659563429107149051278358076038400]$ |
$135$ |
$135$ |
$2$ |
$2$ |
$1$ |
4.0.631688.1 |
$D_{4}$ |
simple |
2.113.ax_ld |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 289 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12819, 1442875, 163023971, 18424241486, 2081955290067, 235260600785819, 26584442131771459, 3004041938006756731, 339456739026061259934]$ |
$10437$ |
$[10437, 163662597, 2081920334949, 26580628463142789, 339454706661828022272, 4334530465013779383973893, 55347537874225613517981072453, 706732558068649244320065597313797, 9024267965235834571107926519086032933, 115230877658720603673317359834823857078272]$ |
$126$ |
$126$ |
$2$ |
$2$ |
$1$ |
4.0.40896557.2 |
$D_{4}$ |
simple |
2.113.ax_le |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 290 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12821, 1442944, 163024929, 18424248731, 2081955356066, 235260601921835, 26584442141819713, 3004041937934700928, 339456739023397040021]$ |
$10438$ |
$[10438, 163688716, 2082019928704, 26580784645590016, 339454840144151723398, 4334530602420629225853952, 55347538141485390605277690694, 706732558335776471181818286256128, 9024267965019375917140438128401108608, 115230877657816216269656785775139926715916]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.2023313292.1 |
$D_{4}$ |
simple |
2.113.ax_lf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 291 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12823, 1443013, 163025883, 18424255746, 2081955416023, 235260602960929, 26584442150718291, 3004041937849368559, 339456739020567168318]$ |
$10439$ |
$[10439, 163714837, 2082119524199, 26580940176276629, 339454969388866240624, 4334530727248307778190141, 55347538385943242715391854167, 706732558572340203395407838104325, 9024267964763033902178324528404704191, 115230877656855597249557644430833611089152]$ |
$87$ |
$87$ |
$2$ |
$2$ |
$1$ |
4.0.2039205341.1 |
$D_{4}$ |
simple |
2.113.ax_lg |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 292 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12825, 1443082, 163026833, 18424262531, 2081955469950, 235260603904067, 26584442158504033, 3004041937751646826, 339456739017587099625]$ |
$10440$ |
$[10440, 163740960, 2082219121440, 26581095055209600, 339455094395974461000, 4334530839521798855485440, 55347538607826431467233509640, 706732558779319811771058965721600, 9024267964469473718234725644577412640, 115230877655843992849030270624378948884000]$ |
$180$ |
$180$ |
$2$ |
$2$ |
$1$ |
4.0.512923400.1 |
$D_{4}$ |
simple |
2.113.ax_lh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 293 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12827, 1443151, 163027779, 18424269086, 2081955517859, 235260604752215, 26584442165213731, 3004041937642417963, 339456739014472041182]$ |
$10441$ |
$[10441, 163767085, 2082318720433, 26581249282395925, 339455215165479306496, 4334530939266086292281485, 55347538807362218484948740857, 706732558957693391065999043530725, 9024267964141345633242193969833213457, 115230877654786565268174634902149625548800]$ |
$123$ |
$123$ |
$2$ |
$2$ |
$1$ |
4.0.25442773.1 |
$D_{4}$ |
simple |
2.113.ax_li |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 294 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12829, 1443220, 163028721, 18424275411, 2081955559762, 235260605506339, 26584442170884129, 3004041937522559236, 339456739011236952909]$ |
$10442$ |
$[10442, 163793212, 2082418321184, 26581402857842624, 339455331697383734122, 4334531026506153943368448, 55347538984777865398072961018, 706732559108437759984515721985792, 9024267963781284991052704026565714208, 115230877653688392752649959927431768635772]$ |
$86$ |
$86$ |
$2$ |
$2$ |
$1$ |
4.0.2066805308.1 |
$D_{4}$ |
simple |
2.113.ax_lj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 295 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12831, 1443289, 163029659, 18424281506, 2081955595671, 235260606167405, 26584442175551923, 3004041937392942943, 339456739007896547646]$ |
$10443$ |
$[10443, 163819341, 2082517923699, 26581555781556741, 339455443991690736048, 4334531101266985683995637, 55347539140300633841685576939, 706732559232528461178015843111333, 9024267963391912211437662461158509963, 115230877652554469675144337040631801922816]$ |
$92$ |
$92$ |
$2$ |
$2$ |
$1$ |
4.0.2069602997.1 |
$D_{4}$ |
simple |
2.113.ax_lk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 296 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12833, 1443358, 163030593, 18424287371, 2081955625598, 235260606736379, 26584442179253761, 3004041937254436414, 339456739004465291393]$ |
$10444$ |
$[10444, 163845472, 2082617527984, 26581708053545344, 339455552048403339724, 4334531163573565410082816, 55347539274157785456566129932, 706732559330939761245085668902400, 9024267962975832790087918783192405936, 115230877651389706616844342993940009632352]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.517336344.2 |
$D_{4}$ |
simple |
2.113.ax_ll |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 297 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12835, 1443427, 163031523, 18424293006, 2081955649555, 235260607214227, 26584442182026243, 3004041937107902011, 339456739000957403550]$ |
$10445$ |
$[10445, 163871605, 2082717134045, 26581859673815525, 339455655867524608000, 4334531213450877038432245, 55347539386576581889351918445, 706732559404644650731552434419525, 9024267962535637298613776761688572445, 115230877650198930448904656867836977152000]$ |
$189$ |
$189$ |
$2$ |
$2$ |
$1$ |
4.0.860525.1 |
$D_{4}$ |
simple |
2.113.ax_lm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 298 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12837, 1443496, 163032449, 18424298411, 2081955667554, 235260607601915, 26584442183905921, 3004041936954197128, 339456738997386857157]$ |
$10446$ |
$[10446, 163897740, 2082816741888, 26582010642374400, 339455755449057639246, 4334531250923904506941440, 55347539477784284792697107502, 706732559454614844130547237452800, 9024267962073901384545006490833388032, 115230877648986884413917677176957654802700]$ |
$114$ |
$114$ |
$2$ |
$2$ |
$1$ |
4.0.2060016908.1 |
$D_{4}$ |
simple |
2.113.ax_ln |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 299 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12839, 1443565, 163033371, 18424303586, 2081955679607, 235260607900409, 26584442184929299, 3004041936794174191, 339456738993767379134]$ |
$10447$ |
$[10447, 163923877, 2082916351519, 26582160959229109, 339455850793005567472, 4334531276017631774816653, 55347539548008155825433329983, 706732559481820779882569276669637, 9024267961593185771330857137737776183, 115230877647758228207383139172956440022272]$ |
$106$ |
$106$ |
$2$ |
$2$ |
$1$ |
4.0.730197.1 |
$D_{4}$ |
simple |
2.113.ax_lo |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 300 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12841, 1443634, 163034289, 18424308531, 2081955685726, 235260608110675, 26584442185132833, 3004041936628680658, 339456738990112450521]$ |
$10448$ |
$[10448, 163950016, 2083015962944, 26582310624386816, 339455941899371562448, 4334531288757042822787072, 55347539597475456652731784784, 706732559487231620375551450201088, 9024267961096036258340070384891253568, 115230877646517538059177732352146394465216]$ |
$154$ |
$154$ |
$2$ |
$2$ |
$1$ |
4.0.127470572.1 |
$D_{4}$ |
simple |
2.113.ax_lp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 301 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12843, 1443703, 163035203, 18424313246, 2081955685923, 235260608233679, 26584442184552931, 3004041936458559019, 339456738986435306718]$ |
$10449$ |
$[10449, 163976157, 2083115576169, 26582459637854709, 339456028768158829824, 4334531289167121653319741, 55347539626413448946266836897, 706732559471815251944927326661925, 9024267960584983720860894580078683081, 115230877645269306815024718175816509591552]$ |
$104$ |
$104$ |
$2$ |
$2$ |
$1$ |
4.0.2025323861.1 |
$D_{4}$ |
simple |
2.113.ax_lq |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 19 x + 113 x^{2} )( 1 - 4 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12845, 1443772, 163036113, 18424317731, 2081955680210, 235260608270387, 26584442183225953, 3004041936284646796, 339456738982748937725]$ |
$10450$ |
$[10450, 164002300, 2083215191200, 26582607999640000, 339456111399370611250, 4334531277272852290835200, 55347539635049394384381124450, 706732559436538284873699500640000, 9024267960062544110101099606635863200, 115230877644017944017963548011262810957500]$ |
$144$ |
$144$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \), \(\Q(\sqrt{-109}) \) |
$C_2$, $C_2$ |
1.113.at $\times$ 1.113.ae |
2.113.ax_lr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 303 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12847, 1443841, 163037019, 18424321986, 2081955668599, 235260608221765, 26584442181188211, 3004041936107776543, 339456738979066088382]$ |
$10451$ |
$[10451, 164028445, 2083314808043, 26582755709749925, 339456189793010184496, 4334531253099218781923845, 55347539623610554652252177747, 706732559382366053392509344730725, 9024267959531218453187992487028586307, 115230877642767775989819481301702051257600]$ |
$80$ |
$80$ |
$2$ |
$2$ |
$1$ |
4.0.1989440453.1 |
$D_{4}$ |
simple |
2.113.ax_ls |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 304 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12849, 1443910, 163037921, 18424326011, 2081955651102, 235260608088779, 26584442178475969, 3004041935928775846, 339456738975399258609]$ |
$10452$ |
$[10452, 164054592, 2083414426704, 26582902768191744, 339456263949080863572, 4334531216671205195563008, 55347539592324191442060555348, 706732559310262615679708170232832, 9024267958993492853168433732848662608, 115230877641523045912673203973370788830272]$ |
$304$ |
$304$ |
$2$ |
$2$ |
$1$ |
4.0.30749117.1 |
$D_{4}$ |
simple |
2.113.ax_lt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 305 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12851, 1443979, 163038819, 18424329806, 2081955627731, 235260607872395, 26584442175125443, 3004041935748467323, 339456738971760703646]$ |
$10453$ |
$[10453, 164080741, 2083514047189, 26583049174972741, 339456333867585998848, 4334531168013795623334757, 55347539541417566453159502229, 706732559221190753861429808661893, 9024267958451838489008854454429633173, 115230877640287913910330447088247785455616]$ |
$76$ |
$76$ |
$2$ |
$2$ |
$1$ |
4.0.1944197757.1 |
$D_{4}$ |
simple |
2.113.ax_lu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 306 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12853, 1444048, 163039713, 18424333371, 2081955598498, 235260607573579, 26584442171172801, 3004041935567668624, 339456738968162434293]$ |
$10454$ |
$[10454, 164106892, 2083613669504, 26583194930100224, 339456399548528977174, 4334531107151974179644416, 55347539471117941392246135062, 706732559116111974011664626278400, 9024267957908711615595274243394485376, 115230877639066457129791605750973888474252]$ |
$50$ |
$50$ |
$2$ |
$2$ |
$1$ |
4.0.1918294796.1 |
$D_{4}$ |
simple |
2.113.ax_lv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 307 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12855, 1444117, 163040603, 18424336706, 2081955563415, 235260607193297, 26584442166654163, 3004041935387192431, 339456738964616217150]$ |
$10455$ |
$[10455, 164133045, 2083713293655, 26583340033581525, 339456460991913222000, 4334531034110725001939805, 55347539381652577973534159655, 706732558995986506152334983867525, 9024267957366553563733319841557636655, 115230877637862669822721358278680891168000]$ |
$152$ |
$152$ |
$2$ |
$2$ |
$1$ |
4.0.1890326525.1 |
$D_{4}$ |
simple |
2.113.ax_lw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 308 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12857, 1444186, 163041489, 18424339811, 2081955522494, 235260606732515, 26584442161605601, 3004041935207846458, 339456738961133574857]$ |
$10456$ |
$[10456, 164159200, 2083812919648, 26583484485424000, 339456518197742193496, 4334530948915032250931200, 55347539273248737918928125592, 706732558861773304253372154048000, 9024267956827790740148244609713768032, 115230877636680463426918285642579295596000]$ |
$144$ |
$144$ |
$2$ |
$2$ |
$1$ |
4.0.465096312.1 |
$D_{4}$ |
simple |
2.113.ax_lx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 309 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12859, 1444255, 163042371, 18424342686, 2081955475747, 235260606192199, 26584442156063139, 3004041935030433451, 339456738957725786334]$ |
$10457$ |
$[10457, 164185357, 2083912547489, 26583628285635029, 339456571166019388672, 4334530851589880110812013, 55347539146133682958199223113, 706732558714430046232794708427877, 9024267956294834627484948809956767233, 115230877635523666647784491190294437302272]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.1828563653.1 |
$D_{4}$ |
simple |
2.113.ax_ly |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 310 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12861, 1444324, 163043249, 18424345331, 2081955423186, 235260605573315, 26584442150062753, 3004041934855751188, 339456738954403887021]$ |
$10458$ |
$[10458, 164211516, 2084012177184, 26583771434222016, 339456619896748341498, 4334530742160252789480192, 55347539000534674829162627274, 706732558554913133956788386965248, 9024267955770081784308000715283082528, 115230877634396025539795220658081075131516]$ |
$124$ |
$124$ |
$2$ |
$2$ |
$1$ |
4.0.1794954812.1 |
$D_{4}$ |
simple |
2.113.ax_lz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 311 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12863, 1444393, 163044123, 18424347746, 2081955364823, 235260604876829, 26584442143640371, 3004041934684592479, 339456738951178669118]$ |
$10459$ |
$[10459, 164237677, 2084111808739, 26583913931192389, 339456664389932623024, 4334530620651134518760341, 55347538836678975277856394427, 706732558384177693239787461932325, 9024267955255913845101658560345192571, 115230877633301203587968482482188305437952]$ |
$104$ |
$104$ |
$2$ |
$2$ |
$1$ |
4.0.21724101.1 |
$D_{4}$ |
simple |
2.113.ax_ma |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 312 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12865, 1444462, 163044993, 18424349931, 2081955300670, 235260604103707, 26584442136831873, 3004041934517745166, 339456738948060681825]$ |
$10460$ |
$[10460, 164263840, 2084211442160, 26584055776553600, 339456704645575841500, 4334530487087509554626560, 55347538654793846058721916060, 706732558203177573844557608921600, 9024267954754697520269893347332664560, 115230877632242781789334668418789531876000]$ |
$198$ |
$198$ |
$2$ |
$2$ |
$1$ |
4.0.3559400.1 |
$D_{4}$ |
simple |
2.113.ax_mb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 313 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12867, 1444531, 163045859, 18424351886, 2081955230739, 235260603254915, 26584442129673091, 3004041934355992123, 339456738945060231582]$ |
$10461$ |
$[10461, 164290005, 2084311077453, 26584196970313125, 339456740663681642496, 4334530341494362177426005, 55347538455106548934785935037, 706732558012865349482280297373125, 9024267954268784596136412521070402957, 115230877631224258734406174482036213350400]$ |
$141$ |
$141$ |
$2$ |
$2$ |
$1$ |
4.0.1684341293.1 |
$D_{4}$ |
simple |
2.113.ax_mc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 314 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12869, 1444600, 163046721, 18424353611, 2081955155042, 235260602331419, 26584442122199809, 3004041934200111256, 339456738942187382309]$ |
$10462$ |
$[10462, 164316172, 2084410714624, 26584337512478464, 339456772444253709022, 4334530183896676692103168, 55347538237844345677844129278, 706732557814192317812638713142272, 9024267953800511934944684527536183808, 115230877630249050688647022209939227205772]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.1644521868.1 |
$D_{4}$ |
simple |
2.113.ax_md |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 315 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12871, 1444669, 163047579, 18424355106, 2081955073591, 235260601334185, 26584442114447763, 3004041934050875503, 339456738939451955646]$ |
$10463$ |
$[10463, 164342341, 2084510353679, 26584477403057141, 339456799987295761648, 4334530014319437428424877, 55347538003234498068646267919, 706732557608108500443905225667653, 9024267953352201474857964270112425383, 115230877629320491673942480267927925980416]$ |
$91$ |
$91$ |
$2$ |
$2$ |
$1$ |
4.0.9487493.1 |
$D_{4}$ |
simple |
2.113.ax_me |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 18 x + 113 x^{2} )( 1 - 5 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12873, 1444738, 163048433, 18424356371, 2081954986398, 235260600264179, 26584442106452641, 3004041933909052834, 339456738936863531193]$ |
$10464$ |
$[10464, 164368512, 2084609994624, 26584616642056704, 339456823292811558624, 4334529832787628741206016, 55347537751504267897082944992, 706732557395562642933030412339200, 9024267952926160229959319478000364416, 115230877628441833550068686400084337665152]$ |
$98$ |
$98$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-427}) \) |
$C_2$, $C_2$ |
1.113.as $\times$ 1.113.af |
2.113.ax_mf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 317 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12875, 1444807, 163049283, 18424357406, 2081954893475, 235260599122367, 26584442098250083, 3004041933775406251, 339456738934431446750]$ |
$10465$ |
$[10465, 164394685, 2084709637465, 26584755229484725, 339456842360804896000, 4334529639326235010535965, 55347537482880916962373895665, 706732557177502214785733652706725, 9024267952524680290251658001338388665, 115230877627616246096162269738198465024000]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.1517548725.1 |
$D_{4}$ |
simple |
2.113.ax_mg |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 318 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12877, 1444876, 163050129, 18424358211, 2081954794834, 235260597909715, 26584442089875681, 3004041933650693788, 339456738932164798557]$ |
$10466$ |
$[10466, 164420860, 2084809282208, 26584893165348800, 339456857191279607746, 4334529433960240642005760, 55347537197591707073257900082, 706732556954873409456595305209600, 9024267952150038821657756047680220832, 115230877626846817092189973478940282778300]$ |
$116$ |
$116$ |
$2$ |
$2$ |
$1$ |
4.0.1473038588.1 |
$D_{4}$ |
simple |
2.113.ax_mh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 319 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12879, 1444945, 163050971, 18424358786, 2081954690487, 235260596627189, 26584442081364979, 3004041933535668511, 339456738930072441534]$ |
$10467$ |
$[10467, 164447037, 2084908928859, 26585030449656549, 339456867784239565872, 4334529216714630066935973, 55347536895863900048184279843, 706732556728621144349150479148517, 9024267951804498066020287374602956083, 115230877626136552400418277939594815958272]$ |
$101$ |
$101$ |
$2$ |
$2$ |
$1$ |
4.0.1427596133.1 |
$D_{4}$ |
simple |
2.113.ax_mi |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 320 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12881, 1445014, 163051809, 18424359131, 2081954580446, 235260595275755, 26584442072753473, 3004041933431078518, 339456738928162989521]$ |
$10468$ |
$[10468, 164473216, 2085008577424, 26585167082415616, 339456874139688680548, 4334528987614387742605312, 55347536577924757715505992164, 706732556499689060815984414660608, 9024267951490305341101853453329625488, 115230877625488376046883024002958612114816]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.1065832.2 |
$D_{4}$ |
simple |
2.113.ax_mj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 321 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12883, 1445083, 163052643, 18424359246, 2081954464723, 235260593856379, 26584442064076611, 3004041933337666939, 339456738926444815518]$ |
$10469$ |
$[10469, 164499397, 2085108227909, 26585303063633669, 339456876257630900224, 4334528746684498152479941, 55347536244001541913674326757, 706732556269019524158829483499525, 9024267951209693040585014618365990661, 115230877624905130302859036962148997988352]$ |
$99$ |
$99$ |
$2$ |
$2$ |
$1$ |
4.0.1334302301.1 |
$D_{4}$ |
simple |
2.113.ax_mk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 322 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12885, 1445152, 163053473, 18424359131, 2081954343330, 235260592370027, 26584442055369793, 3004041933256171936, 339456738924926051925]$ |
$10470$ |
$[10470, 164525580, 2085207880320, 26585438393318400, 339456874138070211750, 4334528493949945806443520, 55347535894321514491435210470, 706732556037553623628663823462400, 9024267950964878634072322218266670720, 115230877624389575766329750776231741279500]$ |
$132$ |
$132$ |
$2$ |
$2$ |
$1$ |
4.0.1286645900.1 |
$D_{4}$ |
simple |
2.113.ax_ml |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 323 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12887, 1445221, 163054299, 18424358786, 2081954216279, 235260590817665, 26584442046668371, 3004041933187326703, 339456738923614590782]$ |
$10471$ |
$[10471, 164551765, 2085307534663, 26585573071477525, 339456867781010640496, 4334528229435715241027965, 55347535529111937308027124727, 706732555806231172425811619345925, 9024267950758064667086351782761461407, 115230877623944391443456832747728123987200]$ |
$112$ |
$112$ |
$2$ |
$2$ |
$1$ |
4.0.1238447133.1 |
$D_{4}$ |
simple |
2.113.ax_mm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 324 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12889, 1445290, 163055121, 18424358211, 2081954083582, 235260589200259, 26584442038007649, 3004041933131859466, 339456738922518084009]$ |
$10472$ |
$[10472, 164577952, 2085407190944, 26585707098118784, 339456857186456250472, 4334527953166791019644928, 55347535148600072233380640808, 706732555575990707700045043354112, 9024267950591438761069737221588827808, 115230877623572174830049808633218979002272]$ |
$144$ |
$144$ |
$2$ |
$2$ |
$1$ |
4.0.297451112.1 |
$D_{4}$ |
simple |
2.113.ax_mn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 325 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12891, 1445359, 163055939, 18424357406, 2081953945251, 235260587518775, 26584442029422883, 3004041933090493483, 339456738921643943646]$ |
$10473$ |
$[10473, 164604141, 2085506849169, 26585840473249941, 339456842354411144448, 4334527665168157732817997, 55347534753013181148319578009, 706732555347769490550687867920613, 9024267950467173613385206070500036593, 115230877623275441993035688198420949897216]$ |
$182$ |
$182$ |
$2$ |
$2$ |
$1$ |
4.0.9428237.2 |
$D_{4}$ |
simple |
2.113.ax_mo |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 326 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12893, 1445428, 163056753, 18424356371, 2081953801298, 235260585774179, 26584442020949281, 3004041933063947044, 339456738920999342093]$ |
$10474$ |
$[10474, 164630332, 2085606509344, 26585973196878784, 339456823284879464074, 4334527365464799998415616, 55347534342578525944763789722, 706732555122503506026720763948800, 9024267950387426997315615800014241056, 115230877623056627651928591229269108765052]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.1091583036.1 |
$D_{4}$ |
simple |
2.113.ax_mp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 327 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12895, 1445497, 163057563, 18424355106, 2081953651735, 235260583967437, 26584442012622003, 3004041933052933471, 339456738920591212350]$ |
$10475$ |
$[10475, 164656525, 2085706171475, 26586105269013125, 339456799977865390000, 4334527054081702461884725, 55347533917523368525933582475, 706732554901127463126888297513125, 9024267950354341762063991202622042475, 115230877622918085260299374010700112160000]$ |
$210$ |
$210$ |
$2$ |
$2$ |
$1$ |
4.0.1667525.1 |
$D_{4}$ |
simple |
2.113.ax_mq |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 17 x + 113 x^{2} )( 1 - 6 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12897, 1445566, 163058369, 18424353611, 2081953496574, 235260582099515, 26584442004476161, 3004041933058161118, 339456738920426248257]$ |
$10476$ |
$[10476, 164682720, 2085805835568, 26586236689660800, 339456772433373141996, 4334526731043849796485120, 55347533478074970806555772972, 706732554684574794799807638105600, 9024267950370045832753562874252624432, 115230877622862087087245256284991294309600]$ |
$108$ |
$108$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \), \(\Q(\sqrt{-26}) \) |
$C_2$, $C_2$ |
1.113.ar $\times$ 1.113.ag |
2.113.ax_mr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 329 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12899, 1445635, 163059171, 18424351886, 2081953335827, 235260580171379, 26584441996546819, 3004041933080333371, 339456738920510904734]$ |
$10477$ |
$[10477, 164708917, 2085905501629, 26586367458829669, 339456740651406979072, 4334526396376226703524533, 55347533024460594713071388173, 706732554473777657944078991551557, 9024267950436652210427806805937492733, 115230877622890824298859448701673493430272]$ |
$75$ |
$75$ |
$2$ |
$2$ |
$1$ |
4.0.11646973.1 |
$D_{4}$ |
simple |
2.113.ax_ms |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 330 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12901, 1445704, 163059969, 18424349931, 2081953169506, 235260578183995, 26584441988868993, 3004041933120148648, 339456738920851398021]$ |
$10478$ |
$[10478, 164735116, 2086005169664, 26586497576527616, 339456704631971199598, 4334526050103817912594432, 55347532556907502183845013454, 706732554269666933408397770759168, 9024267950556258972050485101722152448, 115230877623006407039700780771198984815116]$ |
$88$ |
$88$ |
$2$ |
$2$ |
$1$ |
4.0.894187532.1 |
$D_{4}$ |
simple |
2.113.ax_mt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 331 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12903, 1445773, 163060763, 18424347746, 2081952997623, 235260576138329, 26584441981477651, 3004041933178300399, 339456738921453705918]$ |
$10479$ |
$[10479, 164761317, 2086104839679, 26586627042762549, 339456664375070141424, 4334525692251608181806541, 55347532075642955169375793887, 706732554073172225991668517507525, 9024267950730949270505687838995715351, 115230877623210864514263329334710657002752]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.845226221.1 |
$D_{4}$ |
simple |
2.113.ax_mu |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 332 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12905, 1445842, 163061553, 18424345331, 2081952820190, 235260574035347, 26584441974407713, 3004041933255477106, 339456738922323568025]$ |
$10480$ |
$[10480, 164787520, 2086204511680, 26586755857542400, 339456619880708182000, 4334525322844582298030080, 55347531580894215632510093680, 706732553885221864443120588518400, 9024267950962791334597876087527455680, 115230877623506145068446047562424518408000]$ |
$176$ |
$176$ |
$2$ |
$2$ |
$1$ |
4.0.12447225.1 |
$D_{4}$ |
simple |