| 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 |
| 2.1024.aey_jci |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
|
|
|
✓ |
✓ |
✓ |
$( 1 - 32 x )^{4}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]$ |
$2$ |
$0$ |
$2$ |
$0$ |
$2$ |
$897$ |
$[897, 1044481, 1073610753, 1099507433473, 1125899772624897, 1152921500311879681, 1180591620579972349953, 1208925819610231128195073, 1237940039285239537410768897, 1267650600228224897897075834881]$ |
$923521$ |
$[923521, 1095222947841, 1152780773560811521, 1208921207935207812890625, 1267650449112508705067363205121, 1329227990833155722679814984029962241, 1393796574745904669523852578373111612702721, 1461501637325586006220552422779585474791812890625, 1532495540865714633786483514084656171531874968765726721, 1606938044258984566551191268509244272979694567707627896176641]$ |
$None$ |
$None$ |
$19$ |
$12$ |
$1$ |
\(\Q\) |
Trivial |
1.1024.acm 2 |
| 2.1024.aex_izw |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 32 x )^{2}( 1 - 63 x + 1024 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$898$ |
$[898, 1044608, 1073619778, 1099507937536, 1125899797236418, 1152921501413353856, 1180591620626310509122, 1208925819612091242144256, 1237940039285311473337833922, 1267650600228227595472541145728]$ |
$924482$ |
$[924482, 1095355857024, 1152790463489319746, 1208921762157280348320000, 1267650476822616254571456465602, 1329227992103068983441002677865490816, 1393796574800611111955059327269855856964162, 1461501637327834746001140995303076039656796480000, 1532495540865803686150860416321292237895023691212855746, 1606938044258987986134349030743589871334775685150679544715904]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-127}) \) |
Trivial, $C_2$ |
1.1024.acm $\times$ 1.1024.acl |
| 2.1024.aew_ixl |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 63 x + 1024 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$899$ |
$[899, 1044735, 1073628803, 1099508441599, 1125899821847939, 1152921502514828031, 1180591620672648668291, 1208925819613951356093439, 1237940039285383409264898947, 1267650600228230293048006456575]$ |
$925444$ |
$[925444, 1095488782336, 1152800153499278596, 1208922316379606963257344, 1267650504532724409802515659524, 1329227993372982245415435729892950016, 1393796574855317554388413301161771679996164, 1461501637330083485781733027850470549698086436864, 1532495540865892738515237323732705906962768724238235396, 1606938044258991405717506792985212383080903835299965529112576]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-127}) \) |
$C_2$ |
1.1024.acl 2 |
| 2.1024.aev_iuy |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
|
|
✓ |
|
✓ |
|
$( 1 - 32 x )^{2}( 1 - 61 x + 1024 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$900$ |
$[900, 1044856, 1073636700, 1099508828848, 1125899837464500, 1152921503039558056, 1180591620686407428300, 1208925819614136683748448, 1237940039285375383849064100, 1267650600228229396347157719256]$ |
$926404$ |
$[926404, 1095615396216, 1152808632239482204, 1208922742163319108750000, 1267650522115407331168052142004, 1329227993977954773010729652811272616, 1393796574871561031163407795909813873305804, 1461501637330307533168958172847762755572677500000, 1532495540865882803531643447114550576638493827173373604, 1606938044258990269014137665954783890189867353245477709261016]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-15}) \) |
Trivial, $C_2$ |
1.1024.acm $\times$ 1.1024.acj |
| 2.1024.aev_iuz |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 125 x + 5953 x^{2} - 128000 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$900$ |
$[900, 1044858, 1073637075, 1099508867538, 1125899840429500, 1152921503228563263, 1180591620697010916300, 1208925819614677489634658, 1237940039285400976663307475, 1267650600228230535584128555498]$ |
$926405$ |
$[926405, 1095617505275, 1152809034947817620, 1208922784703586848280275, 1267650525453700923264392560125, 1329227994195862941338804718669214400, 1393796574884079420247731634646587198882445, 1461501637330961327368198708122995915363073042275, 1532495540865914485901113316483485111635318800364188180, 1606938044258991713168567548709642114029173237990191603296875]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.400025.1 |
$D_{4}$ |
simple |
| 2.1024.aeu_isn |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 124 x + 5889 x^{2} - 126976 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$901$ |
$[901, 1044979, 1073644981, 1099509257023, 1125899856347221, 1152921503782699891, 1180591620713103933157, 1208925819615022674310399, 1237940039285402736321908773, 1267650600228230186642166925939]$ |
$927366$ |
$[927366, 1095744135156, 1152817523430853302, 1208923212946046562938688, 1267650543375460409381633831766, 1329227994834738974955799061949484404, 1393796574903078701099818055267181666934758, 1461501637331378630035236046529752290155152157952, 1532495540865916664252951335153370689501572525740711718, 1606938044258991270832080444182667648147402174596484246384756]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2285712.4 |
$D_{4}$ |
simple |
| 2.1024.aeu_isp |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 63 x + 1024 x^{2} )( 1 - 61 x + 1024 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$901$ |
$[901, 1044983, 1073645725, 1099509332911, 1125899862076021, 1152921504141032231, 1180591620732745587469, 1208925819615996797697631, 1237940039285447319776129125, 1267650600228232093922623030103]$ |
$927368$ |
$[927368, 1095748353024, 1152818322402162104, 1208923296386095001088000, 1267650549825516476473396268648, 1329227995247868036776384634415266816, 1393796574926267473599546550408166388980888, 1461501637332556272949554010149617462405855232000, 1532495540865971855896020359123426120248784657947077704, 1606938044258993688597295428201264397117765331367992245115904]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-127}) \), \(\Q(\sqrt{-15}) \) |
$C_2$, $C_2$ |
1.1024.acl $\times$ 1.1024.acj |
| 2.1024.aet_iqa |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 32 x )^{2}( 1 - 59 x + 1024 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$902$ |
$[902, 1045096, 1073652158, 1099509574288, 1125899867020022, 1152921504024541816, 1180591620713096226158, 1208925819614627268248608, 1237940039285373585940971302, 1267650600228228656956663845256]$ |
$928326$ |
$[928326, 1095866563176, 1152825229127557566, 1208923561781703617850000, 1267650555391964814215699520246, 1329227995113563729488002591815809656, 1393796574903069602279749350904453363737966, 1461501637330900613437903255218535073537222100000, 1532495540865880577829228417381822223222160866054405926, 1606938044258989331725334303533374560351395663449303519515016]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-615}) \) |
Trivial, $C_2$ |
1.1024.acm $\times$ 1.1024.ach |
| 2.1024.aet_iqb |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 123 x + 5825 x^{2} - 125952 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$902$ |
$[902, 1045098, 1073652527, 1099509611506, 1125899869789982, 1152921504194884671, 1180591620722253959918, 1208925819615071860776226, 1237940039285393481847489583, 1267650600228229489221051691578]$ |
$928327$ |
$[928327, 1095868671979, 1152825625390443376, 1208923602703473942554355, 1267650558510662829835012783327, 1329227995309955670707109622094992576, 1393796574913881146022344592084490066511407, 1461501637331438092823749357834982650227544994595, 1532495540865905207768525277438960148902221440608357616, 1606938044258990386745785105504204688429631251651199596789179]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6943545.3 |
$D_{4}$ |
simple |
| 2.1024.aet_iqd |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 123 x + 5827 x^{2} - 125952 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$902$ |
$[902, 1045102, 1073653265, 1099509685930, 1125899875326212, 1152921504534963127, 1180591620740498105642, 1208925819615954337482514, 1237940039285432736563697905, 1267650600228231115762540785502]$ |
$928329$ |
$[928329, 1095872889591, 1152826417916319852, 1208923684533821277095931, 1267650564743904294558070684599, 1329227995702039436965344786746789904, 1393796574935420031592848740252355253118709, 1461501637332504941699191455938210738813437596339, 1532495540865953802753450346324186333309554323398229652, 1606938044258992448632080051537164375424844306965330892732551]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.7983729.1 |
$D_{4}$ |
simple |
| 2.1024.aet_iqf |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 123 x + 5829 x^{2} - 125952 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$902$ |
$[902, 1045106, 1073654003, 1099509760338, 1125899880857522, 1152921504874231991, 1180591620758647190078, 1208925819616827877541698, 1237940039285471276397239627, 1267650600228232691811030426506]$ |
$928331$ |
$[928331, 1095877107211, 1152827210442336176, 1208923766346577526080195, 1267650570971606337270640360871, 1329227996093189807217401776662515776, 1393796574956846688603346914661550794465451, 1461501637333560986831208898715405191727482428195, 1532495540866001512756499040306694718716391808172927856, 1606938044258994446510893933753087972682859439768723031461891]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1968625.1 |
$D_{4}$ |
simple |
| 2.1024.aes_inp |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 122 x + 5761 x^{2} - 124928 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$903$ |
$[903, 1045215, 1073659719, 1099509932415, 1125899880939463, 1152921504481615839, 1180591620725657417991, 1208925819614898342951423, 1237940039285377124117418759, 1267650600228228627908040537055]$ |
$929288$ |
$[929288, 1095991115744, 1152833347268645576, 1208923955545968593714048, 1267650571063861667459848790088, 1329227995640534199629433188873406176, 1393796574917899240104359000073201516914312, 1461501637331228322645181652356353024541669764608, 1532495540865884957879518782469580380220606343708626312, 1606938044258989294901829531090527858867500826257910884971744]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.999488.2 |
$D_{4}$ |
simple |
| 2.1024.aes_inr |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 122 x + 5763 x^{2} - 124928 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$903$ |
$[903, 1045219, 1073660451, 1099510005391, 1125899886287943, 1152921504804213427, 1180591620742592027907, 1208925819615697139951071, 1237940039285411659885909959, 1267650600228230014605210152899]$ |
$929290$ |
$[929290, 1095995333100, 1152834133349126590, 1208924035784207482879200, 1267650577085715370318651819450, 1329227996012463897107521624543337100, 1393796574937892098672597884867850381350670, 1461501637332194008962688302242105962794437884800, 1532495540865927711090121530762361037613044905019346730, 1606938044258991052749328929402834054669544023038911096027500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.26989632.1 |
$D_{4}$ |
simple |
| 2.1024.aes_int |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 63 x + 1024 x^{2} )( 1 - 59 x + 1024 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$903$ |
$[903, 1045223, 1073661183, 1099510078351, 1125899891631543, 1152921505126015991, 1180591620759434385327, 1208925819616487382197791, 1237940039285445521868036327, 1267650600228231354532129156103]$ |
$929292$ |
$[929292, 1095999550464, 1152834919429745916, 1208924116004855258910720, 1267650583102074686927394015852, 1329227996383476994338591747854201856, 1393796574957776044717124815165979149673052, 1461501637333149353218500005063461780956095201280, 1532495540865969630193605329261363581399316569347920076, 1606938044258992751308492065777860505623735069053558804091904]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-127}) \), \(\Q(\sqrt{-615}) \) |
$C_2$, $C_2$ |
1.1024.acl $\times$ 1.1024.ach |
| 2.1024.aes_inv |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 122 x + 5767 x^{2} - 124928 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$903$ |
$[903, 1045227, 1073661915, 1099510151295, 1125899896970263, 1152921505447023627, 1180591620776184531243, 1208925819617269078909119, 1237940039285478711517444455, 1267650600228232647869333803627]$ |
$929294$ |
$[929294, 1096003767836, 1152835705510503602, 1208924196207911922915296, 1267650589112939617298113203774, 1329227996753573602003192665739317404, 1393796574977551126632751947387515055095714, 1461501637334094366555934026267221528371984171904, 1532495540866010716989497497180402788148435637273817902, 1606938044258994390808175834713927712146909998999279984170076]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6999104.2 |
$D_{4}$ |
simple |
| 2.1024.aes_inx |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 61 x + 1024 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$903$ |
$[903, 1045231, 1073662647, 1099510224223, 1125899902304103, 1152921505767236431, 1180591620792842506647, 1208925819618042239301823, 1237940039285511230287359303, 1267650600228233894797239603631]$ |
$929296$ |
$[929296, 1096007985216, 1152836491591399696, 1208924276393377476000000, 1267650595118310161442858276496, 1329227997122753830781873639035223616, 1393796574997217392814291439349248162161296, 1461501637335029060117379176280120534656016000000, 1532495540866050973276803398598699779237508846553831696, 1606938044258995971477084063420559560539245678925878391486016]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
1.1024.acj 2 |
| 2.1024.aer_ilc |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
|
|
✓ |
|
✓ |
|
$( 1 - 32 x )^{2}( 1 - 57 x + 1024 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$904$ |
$[904, 1045328, 1073666200, 1099510185376, 1125899887385704, 1152921504505059056, 1180591620716500893496, 1208925819614200475834176, 1237940039285341378160398600, 1267650600228227130789031530128]$ |
$930248$ |
$[930248, 1096109357904, 1152840305690007704, 1208924233678783668420000, 1267650578321682914084440710248, 1329227995667562387786429070824101616, 1393796574907089124010088438339208958721848, 1461501637330384653068481681655718505866236680000, 1532495540865840706528080954026754188503537671269028104, 1606938044258987397078019150369087600619233732875638292303504]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-7}) \) |
Trivial, $C_2$ |
1.1024.acm $\times$ 1.1024.acf |
| 2.1024.aer_ild |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 121 x + 5697 x^{2} - 123904 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$904$ |
$[904, 1045330, 1073666563, 1099510221154, 1125899889970264, 1152921504658285951, 1180591620724388970616, 1208925819614564822702914, 1237940039285356801984184707, 1267650600228227738510560145650]$ |
$930249$ |
$[930249, 1096111466451, 1152840695507517636, 1208924273017241894269539, 1267650581231639034226775345049, 1329227995844220970512637693628695296, 1393796574916401721762022784479130680512569, 1461501637330825121405395250115378643642070773059, 1532495540865859800297104658342794837453686803119433156, 1606938044258988167456579671452432289375425717402734860449651]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.387225.1 |
$D_{4}$ |
simple |
| 2.1024.aer_ilf |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 121 x + 5699 x^{2} - 123904 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$904$ |
$[904, 1045334, 1073667289, 1099510292698, 1125899895135754, 1152921504964154231, 1180591620740097971308, 1208925819615287371132594, 1237940039285387172688420777, 1267650600228228921372860142614]$ |
$930251$ |
$[930251, 1096115683551, 1152841475142640052, 1208924351680964989998123, 1267650587047464261641567802941, 1329227996196863088908341180280055504, 1393796574934947636349859037189139045629623, 1461501637331698628857958411808315572413544779347, 1532495540865897397407899784147115266591793412263399628, 1606938044258989666912684249947686763154183196642554191687231]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.63621537.2 |
$D_{4}$ |
simple |
| 2.1024.aer_ilh |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 121 x + 5701 x^{2} - 123904 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$904$ |
$[904, 1045338, 1073668015, 1099510364226, 1125899900296404, 1152921505269241911, 1180591620755717467816, 1208925819616001733365346, 1237940039285416908645824215, 1267650600228230060938700370178]$ |
$930253$ |
$[930253, 1096119900659, 1152842254777899244, 1208924430327096945344435, 1267650592857840138572971008073, 1329227996548605236795547661401657536, 1393796574953387883048096491535529709575573, 1461501637332562239805690983391281221699683675715, 1532495540865934208740175985461892195396913587817328764, 1606938044258991111484005614006063577206358824640340481811579]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.65148065.1 |
$D_{4}$ |
simple |
| 2.1024.aer_ilj |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 121 x + 5703 x^{2} - 123904 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$904$ |
$[904, 1045342, 1073668741, 1099510435738, 1125899905452214, 1152921505573549087, 1180591620771247500796, 1208925819616707918456658, 1237940039285446011269167789, 1267650600228231157381436844502]$ |
$930255$ |
$[930255, 1096124117775, 1152843034413295260, 1208924508955637761402875, 1267650598662766665032730330525, 1329227996899447524854802876055383600, 1393796574971722509854868493967760624411315, 1461501637333415965196006218951502695945153657875, 1532495540865970236042861238211996846442790997018490420, 1606938044258992501390298621565977612112150250400747826594375]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.47833065.2 |
$D_{4}$ |
simple |
| 2.1024.aer_ill |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 121 x + 5705 x^{2} - 123904 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$904$ |
$[904, 1045346, 1073669467, 1099510507234, 1125899910603184, 1152921505877075855, 1180591620786688110904, 1208925819617405935461250, 1237940039285474481970806091, 1267650600228232210874306919986]$ |
$930257$ |
$[930257, 1096128334899, 1152843814048828148, 1208924587566587439268227, 1267650604462243841032602086297, 1329227997249390063766652713552821504, 1393796574989951564768308392279046174875761, 1461501637334259815975388917555633522130541821123, 1532495540866005481064365841508478940166285214630716116, 1606938044258993836851167708914555814099936558265352980411459]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2618993.1 |
$D_{4}$ |
simple |
| 2.1024.aer_iln |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 121 x + 5707 x^{2} - 123904 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$904$ |
$[904, 1045350, 1073670193, 1099510578714, 1125899915749314, 1152921506179822311, 1180591620802039338796, 1208925819618095793433074, 1237940039285502322162675537, 1267650600228233221590429296950]$ |
$930259$ |
$[930259, 1096132552031, 1152844593684497956, 1208924666159945980035659, 1267650610256271666584353541149, 1329227997598432964211643213586638736, 1393796575008075095786549535608547830029999, 1461501637335093803089395423249777599924159183699, 1532495540866039945552582417648566889167970772699599036, 1606938044258995118086066900423193806052094667431399654039951]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.4262225.4 |
$D_{4}$ |
simple |
| 2.1024.aeq_iir |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 120 x + 5633 x^{2} - 122880 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045443, 1073673065, 1099510479103, 1125899897050025, 1152921504739224003, 1180591620719409286985, 1208925819614124410246143, 1237940039285334983296819145, 1267650600228226916547477405123]$ |
$931210$ |
$[931210, 1096229724100, 1152847676549117290, 1208924556634616993337600, 1267650589202740779222508110250, 1329227995937536190953445652709404100, 1393796574910522748993624909119469196175690, 1461501637330292695415125575809973657831271449600, 1532495540865832790070410180236596568659082602595608010, 1606938044258987125494584469978971055864150111168477442562500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.55299600.1 |
$D_{4}$ |
simple |
| 2.1024.aeq_iit |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 120 x + 5635 x^{2} - 122880 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045447, 1073673785, 1099510549231, 1125899902037225, 1152921505029093367, 1180591620733972677785, 1208925819614777631120223, 1237940039285361690787804745, 1267650600228227927155702434727]$ |
$931212$ |
$[931212, 1096233940944, 1152848449738917972, 1208924633741416941278016, 1267650594817829263530587225052, 1329227996271732814921497326521304784, 1393796574927716166142114602187880145098532, 1461501637331082390995712731976761842656771360000, 1532495540865865852342850107934864993028171155903957292, 1606938044258988406592707524341273338530598704726931664602704]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.865449.1 |
$D_{4}$ |
simple |
| 2.1024.aeq_iiv |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 120 x + 5637 x^{2} - 122880 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045451, 1073674505, 1099510619343, 1125899907019625, 1152921505318196411, 1180591620748449252905, 1208925819615423021334303, 1237940039285387800593778505, 1267650600228228897705906969131]$ |
$931214$ |
$[931214, 1096238157796, 1152849222928853894, 1208924710830625721915200, 1267650600427513433128114212254, 1329227996605045932098933142443255236, 1393796574944807089426295342845387121303894, 1461501637331862619889241368314470673068944467200, 1532495540865898174717082998338799220635769025026071214, 1606938044258989636911256854008905724430248227621980494260516]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.148733200.1 |
$D_{4}$ |
simple |
| 2.1024.aeq_iix |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 63 x + 1024 x^{2} )( 1 - 57 x + 1024 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045455, 1073675225, 1099510689439, 1125899911997225, 1152921505606533231, 1180591620762839052665, 1208925819616060589783359, 1237940039285413314087463625, 1267650600228229828364496840975]$ |
$931216$ |
$[931216, 1096242374656, 1152849996118925104, 1208924787902243336331264, 1267650606031793288026545428176, 1329227996937475653166295557364770816, 1393796574961795566447621668617760484179056, 1461501637332633392849077637618121722829985972224, 1532495540865929758892457863589398992476473178068594704, 1606938044258990816661176912609456593530688303408756796286976]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-127}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.1024.acl $\times$ 1.1024.acf |
| 2.1024.aeq_iiz |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 120 x + 5641 x^{2} - 122880 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045459, 1073675945, 1099510759519, 1125899916970025, 1152921505894103923, 1180591620777142117385, 1208925819616690345361599, 1237940039285438232641168585, 1267650600228230719297761288979]$ |
$931218$ |
$[931218, 1096246591524, 1152850769309131650, 1208924864956269785608704, 1267650611630668828237348052178, 1329227997269022088804127174814022500, 1393796574978681644807548118322731720169858, 1461501637333394720627659237661675077226665887744, 1532495540865960606567810317334614901093329335420664850, 1606938044258991946053264353417843548338083237768198259243684]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.12049296.1 |
$D_{4}$ |
simple |
| 2.1024.aeq_ijb |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 120 x + 5643 x^{2} - 122880 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045463, 1073676665, 1099510829583, 1125899921938025, 1152921506180908583, 1180591620791358487385, 1208925819617312296962463, 1237940039285462557626787145, 1267650600228231570671872965623]$ |
$931220$ |
$[931220, 1096250808400, 1152851542499473580, 1208924941992705070830400, 1267650617224140053772000090500, 1329227997599685349692970745087736400, 1393796574995465372107529232072132202692380, 1461501637334146613976495411198052386012017030400, 1532495540865990719441462574729348574655812021673416820, 1606938044258993025298168039091870024816274313390790265250000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.4227025.2 |
$D_{4}$ |
simple |
| 2.1024.aeq_ijd |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 120 x + 5645 x^{2} - 122880 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045467, 1073677385, 1099510899631, 1125899926901225, 1152921506466947307, 1180591620805488202985, 1208925819617926453478623, 1237940039285486290415798345, 1267650600228232382652887944827]$ |
$931222$ |
$[931222, 1096255025284, 1152852315689950942, 1208925019011549193079616, 1267650622812206964641990380102, 1329227997929465546513369165381139364, 1393796575012146795949019551274033770960462, 1461501637334889083646166945959159951552126240000, 1532495540866020099211223452435452861485836018008891382, 1606938044258994054606389051407781903310116914248593961230404]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.28778256.1 |
$D_{4}$ |
simple |
| 2.1024.aeq_ijf |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 61 x + 1024 x^{2} )( 1 - 59 x + 1024 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$905$ |
$[905, 1045471, 1073678105, 1099510969663, 1125899931859625, 1152921506752220191, 1180591620819531304505, 1208925819618532823801983, 1237940039285509432379266505, 1267650600228233155406745729631]$ |
$931224$ |
$[931224, 1096259242176, 1152853088880563784, 1208925096012802153440000, 1267650628394869560858818592504, 1329227998258362789945865479917950656, 1393796575028725963933473618634891128374184, 1461501637335622140386326174655911852207136640000, 1532495540866048747574388368621732015032446269192616024, 1606938044258995034188280700995824119473061965357890382990016]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-615}) \) |
$C_2$, $C_2$ |
1.1024.acj $\times$ 1.1024.ach |
| 2.1024.aep_ige |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 32 x )^{2}( 1 - 55 x + 1024 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$906$ |
$[906, 1045552, 1073678874, 1099510673248, 1125899899930986, 1152921504600164752, 1180591620704793946554, 1208925819613323587386048, 1237940039285301596560653066, 1267650600228225777790805504752]$ |
$932170$ |
$[932170, 1096343780400, 1152853913463294490, 1208924770098697393500000, 1267650592446413907299277375850, 1329227995777211789711192531945523600, 1393796574893268000546984411502451776186810, 1461501637329324559982619867313794171301971000000, 1532495540865791459292929135192228270552006218300619530, 1606938044258985681949005821574657304299783129639078675510000]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-119}) \) |
Trivial, $C_2$ |
1.1024.acm $\times$ 1.1024.acd |
| 2.1024.aep_igf |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5569 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045554, 1073679231, 1099510707618, 1125899902339546, 1152921504737736831, 1180591620711572514042, 1208925819613621562621634, 1237940039285313556813752063, 1267650600228226224696764135314]$ |
$932171$ |
$[932171, 1096345888691, 1152854296835502272, 1208924807889028811300003, 1267650595158211596630612968091, 1329227995935821598305635840155325184, 1393796574901270720524052956695323946529083, 1461501637329684789938525643845344588496961539267, 1532495540865806265369120370416660522183297169586341568, 1606938044258986248469612525178190393960884787547718553696531]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.90316457.1 |
$D_{4}$ |
simple |
| 2.1024.aep_igh |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5571 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045558, 1073679945, 1099510776346, 1125899907153096, 1152921505012316791, 1180591620725066484294, 1208925819614211891762226, 1237940039285337054593388345, 1267650600228227090627405674678]$ |
$932173$ |
$[932173, 1096350105279, 1152855063580018084, 1208924883456498250809195, 1267650600577787516087587187323, 1329227996252390739499153158697039056, 1393796574917201588734341569324800227835153, 1461501637330398454078658512039632694594817279955, 1532495540865835354211366428257500759160672989174901724, 1606938044258987346167110028567610122583182339601282317018079]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.217601505.1 |
$D_{4}$ |
simple |
| 2.1024.aep_igj |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5573 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045562, 1073680659, 1099510845058, 1125899911961886, 1152921505286144567, 1180591620738476268234, 1208925819614794733075938, 1237940039285359989849149931, 1267650600228227919516163620002]$ |
$932175$ |
$[932175, 1096354321875, 1152855830324667600, 1208924959006376496421875, 1267650605992004156612933305875, 1329227996568092671599294025296600000, 1393796574933033067290145318726381736798775, 1461501637331103065991543433503572592582077671875, 1532495540865863746682784946130141971937834761976125200, 1606938044258988396908441560388267156120225591523614208046875]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.31498265.1 |
$D_{4}$ |
simple |
| 2.1024.aep_igl |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5575 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045566, 1073681373, 1099510913754, 1125899916765916, 1152921505559220255, 1180591620751801905846, 1208925819615370095298770, 1237940039285382363914526069, 1267650600228228711522718580086]$ |
$932177$ |
$[932177, 1096358538479, 1152856597069450868, 1208925034538663549207867, 1267650611400861518217822106947, 1329227996882927505286597699313259824, 1393796574948765203396239934521259481246701, 1461501637331798636238356369806990640877693338003, 1532495540865891444434155656094841993656666240800289916, 1606938044258989400896026340230302749968581469368026388771559]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6115193.1 |
$D_{4}$ |
simple |
| 2.1024.aep_ign |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5577 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045570, 1073682087, 1099510982434, 1125899921565186, 1152921505831543951, 1180591620765043437114, 1208925819615937987165954, 1237940039285404178122594743, 1267650600228229466806636618450]$ |
$932179$ |
$[932179, 1096362755091, 1152857363814367936, 1208925110053359410237379, 1267650616804359600913435073899, 1329227997196895351241603583176343296, 1393796574964398044257401147572085529006579, 1461501637332485175379344827498183235678204326979, 1532495540865918449115749170039582055215314811008408256, 1606938044258990358332138384290913015993757098462013893012451]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.3429225.3 |
$D_{4}$ |
simple |
| 2.1024.aep_igp |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5579 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045574, 1073682801, 1099511051098, 1125899926359696, 1152921506103115751, 1180591620778200902022, 1208925819616498417411954, 1237940039285425433806022673, 1267650600228230185527369261014]$ |
$932181$ |
$[932181, 1096366971711, 1152858130559418852, 1208925185550464080581003, 1267650622202498404710964394091, 1329227997509996320144851222513673104, 1393796574979931637078404689985060481638793, 1461501637333162693973827858103938988687514807507, 1532495540865944762377326979680066959518198481068102908, 1606938044258991269418906515109905533367269281588002645066031]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.229544337.1 |
$D_{4}$ |
simple |
| 2.1024.aep_igr |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5581 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045578, 1073683515, 1099511119746, 1125899931149446, 1152921506373935751, 1180591620791274340554, 1208925819617051394770466, 1237940039285446132297065315, 1267650600228230867844253503778]$ |
$932183$ |
$[932183, 1096371188339, 1152858897304603664, 1208925261029977561309715, 1267650627595277929621612962723, 1329227997822230522676880306280040896, 1393796574995366029064026295112022746440303, 1461501637333831202580196058129560939215990381635, 1532495540865970385868141456559725256157367170591374544, 1606938044258992134358314371305255959407729244554769895823979]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.166673585.1 |
$D_{4}$ |
simple |
| 2.1024.aep_igt |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5583 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045582, 1073684229, 1099511188378, 1125899935934436, 1152921506644004047, 1180591620804263792694, 1208925819617596927974418, 1237940039285466274927566861, 1267650600228231513916511820502]$ |
$932185$ |
$[932185, 1096375404975, 1152859664049922420, 1208925336491899853494875, 1267650632982698175656594386675, 1329227998133598069518230666885724400, 1393796575010701267419041697552539607365605, 1461501637334490711755911569058888800677655529875, 1532495540865995321236935852049709416525850099971048540, 1606938044258992953352200417308664640425951787166499766824375]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.100858905.2 |
$D_{4}$ |
simple |
| 2.1024.aep_igv |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5585 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045586, 1073684943, 1099511256994, 1125899940714666, 1152921506913320735, 1180591620817169298426, 1208925819618135025755970, 1237940039285485863028960239, 1267650600228232123903252170386]$ |
$932187$ |
$[932187, 1096379621619, 1152860430795375168, 1208925411936230958208227, 1267650638364759142827132988347, 1329227998444099071349442280325050624, 1393796575025937399348226633156000095509931, 1461501637335141232057508077354321241514279023043, 1532495540866019570131944297348896009363621603820818496, 1606938044258993726602257953101113222574097990438324594740659]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.43810377.1 |
$D_{4}$ |
simple |
| 2.1024.aep_igx |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 119 x + 5587 x^{2} - 121856 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$906$ |
$[906, 1045590, 1073685657, 1099511325594, 1125899945490136, 1152921507181885911, 1180591620829990897734, 1208925819618665696846514, 1237940039285504897932267113, 1267650600228232697963468005750]$ |
$932189$ |
$[932189, 1096383838271, 1152861197540961956, 1208925487362970876521899, 1267650643741460831144463809499, 1329227998753733638851055266305005136, 1393796575041074472056356839023709659799809, 1461501637335782774040590814456838200575145457619, 1532495540866043134200891803483885876736818208697729436, 1606938044258994454310035123948421262698860643759454391418751]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.7244225.1 |
$D_{4}$ |
simple |
| 2.1024.aeo_idt |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5505 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045663, 1073685067, 1099510908031, 1125899905992907, 1152921504666149791, 1180591620701633461003, 1208925819613092962565631, 1237940039285293915560595723, 1267650600228225699290827519903]$ |
$933132$ |
$[933132, 1096459960224, 1152860562808730316, 1208925028245024039803520, 1267650599271530133712274072652, 1329227995853287360526763189642577056, 1393796574889536757788903509185948965544332, 1461501637329045751682574853612674492637439470080, 1532495540865781950675416397932589070159910640020456076, 1606938044258985582438461611178362913885124411105026383507104]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.8700480.3 |
$D_{4}$ |
simple |
| 2.1024.aeo_idv |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5507 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045667, 1073685775, 1099510975375, 1125899910637387, 1152921504926129267, 1180591620714130505647, 1208925819613626374758879, 1237940039285314612280012875, 1267650600228226444509854205827]$ |
$933134$ |
$[933134, 1096464176556, 1152861323107998122, 1208925102290755603946976, 1267650604500750112493321354174, 1329227996153023289638660607137591884, 1393796574904290663979727965159046376032954, 1461501637329690607455489656291931623951315443584, 1532495540865807571973064744986549579667972163319725742, 1606938044258986527115808091085534170542722135925854031295276]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.350965824.1 |
$D_{4}$ |
simple |
| 2.1024.aeo_idx |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5509 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045671, 1073686483, 1099511042703, 1125899915277147, 1152921505185370551, 1180591620726545934883, 1208925819614152629565983, 1237940039285334779811032107, 1267650600228227155493338866631]$ |
$933136$ |
$[933136, 1096468392896, 1152862083407398096, 1208925176318895947928320, 1267650609724655848127672820496, 1329227996451908141333777675583022016, 1393796574918948215703783444183149873657296, 1461501637330326810479494102506333267734394629120, 1532495540865832538167206981719411263112886931506789136, 1606938044258987428394449173710746464255390687700988896238016]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1888625.2 |
$D_{4}$ |
simple |
| 2.1024.aeo_idz |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5511 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045675, 1073687191, 1099511110015, 1125899919912187, 1152921505443873739, 1180591620738879788359, 1208925819614671735565503, 1237940039285354419448715691, 1267650600228227832394456806955]$ |
$933138$ |
$[933138, 1096472609244, 1152862843706930286, 1208925250329445072805088, 1267650614943247340626217122338, 1329227996749942026292650540392994396, 1393796574933509459769166868966661048538302, 1461501637330954371125430872667172563240473040768, 1532495540865856850861052548011877254568353283014937202, 1606938044258988286468557625921048133070359336499442881737244]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6769728.2 |
$D_{4}$ |
simple |
| 2.1024.aeo_ieb |
$2$ |
$\F_{2^{10}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 63 x + 1024 x^{2} )( 1 - 55 x + 1024 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045679, 1073687899, 1099511177311, 1125899924542507, 1152921505701638927, 1180591620751132105723, 1208925819615183701335231, 1237940039285373532487718091, 1267650600228228475366270815599]$ |
$933140$ |
$[933140, 1096476825600, 1152863604006594740, 1208925324322402979635200, 1267650620156524589999853487700, 1329227997047125055195815486525593600, 1393796574947974442983975163410221867832820, 1461501637331573299763214192163763147939396812800, 1532495540865880511657306041893146816700190801628837780, 1606938044258989101532163583811376482392102545967632029440000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-127}) \), \(\Q(\sqrt{-119}) \) |
$C_2$, $C_2$ |
1.1024.acl $\times$ 1.1024.acd |
| 2.1024.aeo_ied |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5515 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045683, 1073688607, 1099511244591, 1125899929168107, 1152921505958666211, 1180591620763302926623, 1208925819615688535452191, 1237940039285392120222285963, 1267650600228229084561731173203]$ |
$933142$ |
$[933142, 1096481041964, 1152864364306391506, 1208925398297769669476960, 1267650625364487596259491725702, 1329227997343457338723808938609812236, 1393796574962343212156305252608751468838242, 1461501637332183606761829831363460481767374227840, 1532495540865903522158167219540915505573041270568357686, 1606938044258989873779154562440114395741872241598626061461804]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.521407040.1 |
$D_{4}$ |
simple |
| 2.1024.aeo_ief |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5517 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045687, 1073689315, 1099511311855, 1125899933788987, 1152921506214955687, 1180591620775392290707, 1208925819616186246492639, 1237940039285410183946258155, 1267650600228229660133675659927]$ |
$933144$ |
$[933144, 1096485258336, 1152865124606320632, 1208925472255545143389056, 1267650630567136359416052230424, 1329227997638938987557167461072547424, 1393796574976615814094254062853484729725304, 1461501637332785302489335105611683204920644427264, 1532495540865925883965330995281375335872155186043468312, 1606938044258990603403275465564646945521034187872102838567776]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.28299024.1 |
$D_{4}$ |
simple |
| 2.1024.aeo_ieh |
$2$ |
$\F_{2^{10}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 118 x + 5519 x^{2} - 120832 x^{3} + 1048576 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$907$ |
$[907, 1045691, 1073690023, 1099511379103, 1125899938405147, 1152921506470507451, 1180591620787400237623, 1208925819616676843032063, 1237940039285427724953065707, 1267650600228230202234829563131]$ |
$933146$ |
$[933146, 1096489474716, 1152865884906382166, 1208925546195729402430560, 1267650635764470879480465984746, 1329227997933570112376427758265643356, 1393796574990792295605918521634012618544166, 1461501637333378397312858875231934529220950015360, 1532495540865947598679987441589214946540880562742314746, 1606938044258991290598128595376918003778217272612870979111516]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.362856000.1 |
$D_{4}$ |
simple |
