| 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 |
| 2.256.acm_chc |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
|
|
|
✓ |
✓ |
✓ |
$( 1 - 16 x )^{4}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]$ |
$2$ |
$0$ |
$2$ |
$0$ |
$2$ |
$193$ |
$[193, 64513, 16760833, 4294705153, 1099507433473, 281474909601793, 72057592964186113, 18446744056529682433, 4722366482594767306753, 1208925819610231128195073]$ |
$50625$ |
$[50625, 4228250625, 281200199450625, 18445618199572250625, 1208921207935207812890625, 79228143624800094964756250625, 5192296781163575605539792301850625, 340282366604025813516997721482669850625, 22300745197232548926930345564412680417050625, 1461501637325586006220552422779585474791812890625]$ |
$None$ |
$None$ |
$19$ |
$12$ |
$1$ |
\(\Q\) |
Trivial |
1.256.abg 2 |
| 2.256.acl_cfw |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 16 x )^{2}( 1 - 31 x + 256 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$194$ |
$[194, 64576, 16763042, 4294765696, 1099508875874, 281474940914368, 72057593599175714, 18446744068735211776, 4722366482819171313122, 1208925819614200475834176]$ |
$50850$ |
$[50850, 4232347200, 281237242226850, 18445878221841820800, 1208922793868854295921250, 79228152438505363164788280000, 5192296826919398151796185684847650, 340282366829178089486626309886229715200, 22300745198292266885198135706553632988423650, 1461501637330384653068481681655718505866236680000]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-7}) \) |
Trivial, $C_2$ |
1.256.abg $\times$ 1.256.abf |
| 2.256.ack_cer |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 256 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$195$ |
$[195, 64639, 16765251, 4294826239, 1099510318275, 281474972226943, 72057594234165315, 18446744080940741119, 4722366483043575319491, 1208925819618169823473279]$ |
$51076$ |
$[51076, 4236447744, 281274289882756, 18446138247776845824, 1208924379804581299596676, 79228161252211611842173440000, 5192296872675221101264372445983876, 340282367054330365605229844832623591424, 22300745199351984843516283006769043752360836, 1461501637335183299916426696252531589500595113984]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$C_2$ |
1.256.abf 2 |
| 2.256.acj_cdk |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 16 x )^{2}( 1 - 29 x + 256 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$196$ |
$[196, 64696, 16766908, 4294859056, 1099510734676, 281474972228968, 72057594035929516, 18446744073188297056, 4722366482829270623428, 1208925819613179435895576]$ |
$51300$ |
$[51300, 4240150200, 281302071277500, 18446279187751786800, 1208924837639368840732500, 79228161252780618124711665000, 5192296858390826076353332372406700, 340282366911323013946937837899494607200, 22300745198339959529685902048275641048802500, 1461501637329150291523852651298084571015305055000]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-183}) \) |
Trivial, $C_2$ |
1.256.abg $\times$ 1.256.abd |
| 2.256.acj_cdl |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 61 x + 1441 x^{2} - 15616 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$196$ |
$[196, 64698, 16767091, 4294868178, 1099511068956, 281474982310143, 72057594300532876, 18446744079428907618, 4722366482964176679091, 1208925819615887872910698]$ |
$51301$ |
$[51301, 4240284155, 281305144678996, 18446318368618006355, 1208925205185227318292541, 79228164090379574766197209280, 5192296877457507729941155469231341, 340282367026441959893160996097997555555, 22300745198977035365295431583396183139205716, 1461501637332424590962235192915131290332224296875]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.97625.1 |
$D_{4}$ |
simple |
| 2.256.aci_ccf |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 60 x + 1409 x^{2} - 15360 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$197$ |
$[197, 64755, 16768757, 4294902079, 1099511555477, 281474985568371, 72057594223947557, 18446744075553808639, 4722366482858991730277, 1208925819613668169775475]$ |
$51526$ |
$[51526, 4243990516, 281333081669494, 18446463967581198144, 1208925740119460597608726, 79228165007488958077410126196, 5192296871938953862575586262672806, 340282366954959000764002818364063075584, 22300745198480313488514388188290966562693094, 1461501637329741134530184852188330654791123292276]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.553104.2 |
$D_{4}$ |
simple |
| 2.256.aci_cch |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 256 x^{2} )( 1 - 29 x + 256 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$197$ |
$[197, 64759, 16769117, 4294919599, 1099512177077, 281475003541543, 72057594670919117, 18446744085393826399, 4722366483053674629797, 1208925819617148783534679]$ |
$51528$ |
$[51528, 4244258304, 281339127473400, 18446539219339106304, 1208926423577776982271528, 79228170066487847342857920000, 5192296904146649303155641600755928, 340282367136475290119893635897809854464, 22300745199399677488006315674185281944078600, 1461501637333948938371793613032427942867584413184]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-183}) \) |
$C_2$, $C_2$ |
1.256.abf $\times$ 1.256.abd |
| 2.256.ach_cay |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 16 x )^{2}( 1 - 27 x + 256 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$198$ |
$[198, 64808, 16770078, 4294920208, 1099511528598, 281474975601848, 72057593865607758, 18446744066656407328, 4722366482680374610758, 1208925819610637278597448]$ |
$51750$ |
$[51750, 4247433000, 281355229086750, 18446541825576618000, 1208925710564174413593750, 79228162202161824397479843000, 5192296846117850074003925016156750, 340282366790830915872938048362603188000, 22300745197636817990040624128736126131751750, 1461501637326077011928629537952148728325508125000]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-295}) \) |
Trivial, $C_2$ |
1.256.abg $\times$ 1.256.abb |
| 2.256.ach_caz |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 59 x + 1377 x^{2} - 15104 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$198$ |
$[198, 64810, 16770255, 4294928626, 1099511818878, 281474983726207, 72057594060874158, 18446744070823698466, 4722366482761221803535, 1208925819612092821932730]$ |
$51751$ |
$[51751, 4247566827, 281358201468400, 18446577982334005875, 1208926029731150837928031, 79228164488965816687424107200, 5192296860188277101655497675123791, 340282366867703868977100332234272387875, 22300745198018608063440365321057209694047600, 1461501637327836655848217480211972777528731851387]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1665657.4 |
$D_{4}$ |
simple |
| 2.256.ach_cbb |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 59 x + 1379 x^{2} - 15104 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$198$ |
$[198, 64814, 16770609, 4294945450, 1099512397668, 281474999836535, 72057594443759850, 18446744078823247378, 4722366482910548740305, 1208925819614604803994974]$ |
$51753$ |
$[51753, 4247834487, 281364146256492, 18446650244354507643, 1208926666119019976288823, 79228169023620522107959715088, 5192296887778098980712502770093333, 340282367015269500477963383627393542323, 22300745198723784584629898212496897677051668, 1461501637330873455821670349694447059136022536007]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1915953.1 |
$D_{4}$ |
simple |
| 2.256.ach_cbd |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 59 x + 1381 x^{2} - 15104 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$198$ |
$[198, 64818, 16770963, 4294962258, 1099512974098, 281475015762423, 72057594816465918, 18446744086377871938, 4722366483043520541483, 1208925819616592609810698]$ |
$51755$ |
$[51755, 4248102155, 281370091077680, 18446722437716197955, 1208927299912111402734375, 79228173506360040919010914880, 5192296914634401684025985192958155, 340282367154627726345593598757978187555, 22300745199351726161686108619761770918660080, 1461501637333276565596680014260373870334113671875]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.472625.1 |
$D_{4}$ |
simple |
| 2.256.acg_bzt |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 58 x + 1345 x^{2} - 14848 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$199$ |
$[199, 64863, 16771591, 4294948479, 1099511896839, 281474978262879, 72057593855364295, 18446744066261410815, 4722366482688615290695, 1208925819611334757173343]$ |
$51976$ |
$[51976, 4251013088, 281380604689864, 18446663247467944832, 1208926115449815756054856, 79228162951175765410576885472, 5192296845379730883249147125384584, 340282366783544516310359738736423546368, 22300745197675733500772164343784568565580424, 1461501637326920211787655538758983881106089370848]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.237632.1 |
$D_{4}$ |
simple |
| 2.256.acg_bzv |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 58 x + 1347 x^{2} - 14848 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$199$ |
$[199, 64867, 16771939, 4294964623, 1099512435079, 281474992677427, 72057594182760259, 18446744072764650463, 4722366482803919066119, 1208925819613193912079427]$ |
$51978$ |
$[51978, 4251280620, 281386448471358, 18446732588498124000, 1208926707252173539280058, 79228167008510659839499805580, 5192296868971096393536151720157838, 340282366903508113737635702969604144000, 22300745198220240185173568724964982378966058, 1461501637329167792156279981520434356091653435500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6419520.1 |
$D_{4}$ |
simple |
| 2.256.acg_bzx |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 256 x^{2} )( 1 - 27 x + 256 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$199$ |
$[199, 64871, 16772287, 4294980751, 1099512970999, 281475006914423, 72057594500597359, 18446744078861936671, 4722366482904778617127, 1208925819614606626236551]$ |
$51980$ |
$[51980, 4251548160, 281392292285180, 18446801860866263040, 1208927296503727709019500, 79228171015869159229184064000, 5192296891873673192653689090467420, 340282367015983191966168674620574146560, 22300745198696535948327624892870249642332620, 1461501637330875658776560408980422547339665984000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-295}) \) |
$C_2$, $C_2$ |
1.256.abf $\times$ 1.256.abb |
| 2.256.acg_bzz |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 58 x + 1351 x^{2} - 14848 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$199$ |
$[199, 64875, 16772635, 4294996863, 1099513504599, 281475020973963, 72057594808895083, 18446744084555335359, 4722366482991346217383, 1208925819615581659246315]$ |
$51982$ |
$[51982, 4251815708, 281398136131378, 18446871064572620768, 1208927883204478915070782, 79228174973278286216762677148, 5192296914088865540202522940929058, 340282367121007860494572325030644065152, 22300745199105339882282243520522262839882798, 1461501637332054401357041105688503752611534070108]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1666112.1 |
$D_{4}$ |
simple |
| 2.256.acg_cab |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
|
✓ |
|
|
✓ |
✓ |
$( 1 - 29 x + 256 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$199$ |
$[199, 64879, 16772983, 4295012959, 1099514035879, 281475034856143, 72057595107672919, 18446744089846911679, 4722366483063773940103, 1208925819616127743596079]$ |
$51984$ |
$[51984, 4252083264, 281403980010000, 18446940199617456384, 1208928467354427809821584, 79228178880765063447715560000, 5192296935618077695800794316983184, 340282367218620214654387395473948795904, 22300745199447370132496450337670177013610000, 1461501637332714576827161572334880512526343672384]$ |
$None$ |
$None$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-183}) \) |
$C_2$ |
1.256.abd 2 |
| 2.256.acf_bym |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 16 x )^{2}( 1 - 25 x + 256 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$200$ |
$[200, 64912, 16772600, 4294954528, 1099511573000, 281474963930032, 72057593497554200, 18446744059713951808, 4722366482597961353000, 1208925819610457879065552]$ |
$52200$ |
$[52200, 4254195600, 281397520567800, 18446689224355860000, 1208925759384596592405000, 79228158916838079267562388400, 5192296819596796405022210204011800, 340282366662765215712021123687105960000, 22300745197247632383871474958124181983676200, 1461501637325860131202494079846835489815151490000]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-399}) \) |
Trivial, $C_2$ |
1.256.abg $\times$ 1.256.az |
| 2.256.acf_byn |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1313 x^{2} - 14592 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$200$ |
$[200, 64914, 16772771, 4294962274, 1099511823800, 281474970432063, 72057593640747320, 18446744062503605314, 4722366482647940617571, 1208925819611321234595954]$ |
$52201$ |
$[52201, 4254329299, 281400391948036, 18446722494498460899, 1208926035142562228890201, 79228160746997182833895417600, 5192296829914948102988565228519961, 340282366714225239976130758851790038339, 22300745197483652787713429872517925298829956, 1461501637326903863994702391455093457225671630259]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.91225.2 |
$D_{4}$ |
simple |
| 2.256.acf_byp |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1315 x^{2} - 14592 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$200$ |
$[200, 64918, 16773113, 4294977754, 1099512323690, 281474983307959, 72057593920396844, 18446744067804279730, 4722366482738258579849, 1208925819612758194615318]$ |
$52203$ |
$[52203, 4254596703, 281406134732148, 18446788983284614827, 1208926584778371253287933, 79228164371239899555327022032, 5192296850065819969568020106794647, 340282366812005424322566106116926126163, 22300745197910167305565079368070464598302092, 1461501637328641042063862296378461562517503940223]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.14994657.1 |
$D_{4}$ |
simple |
| 2.256.acf_byr |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1317 x^{2} - 14592 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$200$ |
$[200, 64922, 16773455, 4294993218, 1099512821300, 281474996013047, 72057594191080040, 18446744072735102818, 4722366482815842064055, 1208925819613815538300802]$ |
$52205$ |
$[52205, 4254864115, 281411877547820, 18446855403405581875, 1208927131907351124367625, 79228167947404481179410208960, 5192296869570599837079810195062645, 340282366902963055886432777798539831875, 22300745198276544950996059160172166648920380, 1461501637329919292145447938803799830291365362875]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.15360865.2 |
$D_{4}$ |
simple |
| 2.256.acf_byt |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1319 x^{2} - 14592 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$200$ |
$[200, 64926, 16773797, 4295008666, 1099513316630, 281475008547423, 72057594452816060, 18446744077298064466, 4722366482880834431117, 1208925819614501304845526]$ |
$52207$ |
$[52207, 4255131535, 281417620395100, 18446921754861614715, 1208927676529502458073437, 79228171475517950254211038000, 5192296888430667753621823298444947, 340282366987134841623310914325361609235, 22300745198583462726848339350794906148486900, 1461501637330748333027591315391913359785395978375]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.11282985.3 |
$D_{4}$ |
simple |
| 2.256.acf_byv |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1321 x^{2} - 14592 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$200$ |
$[200, 64930, 16774139, 4295024098, 1099513809680, 281475020911183, 72057594705624056, 18446744081495153794, 4722366482933378844971, 1208925819614823507309490]$ |
$52209$ |
$[52209, 4255398963, 281423363274036, 18446988037652966403, 1208928218644825872878169, 79228174955607329335718899968, 5192296906647403767307910986695249, 340282367064557474321704655225099615427, 22300745198831596705695498751371675142090644, 1461501637331137851905420932891069625929627121283]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.618033.2 |
$D_{4}$ |
simple |
| 2.256.acf_byx |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 57 x + 1323 x^{2} - 14592 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$200$ |
$[200, 64934, 16774481, 4295039514, 1099514300450, 281475033104423, 72057594949523180, 18446744085328359154, 4722366482973618272561, 1208925819614790132627254]$ |
$52211$ |
$[52211, 4255666399, 281429106184676, 18447054251779890379, 1208928758253321989787101, 79228178387699640987876883600, 5192296924222187926268004557127311, 340282367135267632603042426568863657299, 22300745199021622029842725405815230507099516, 1461501637331097504390346359179335248392861470159]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1006225.1 |
$D_{4}$ |
simple |
| 2.256.ace_bxh |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1281 x^{2} - 14336 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64963, 16773801, 4294970623, 1099511631081, 281474961280963, 72057593441185161, 18446744059886787583, 4722366482638581299721, 1208925819611852852240323]$ |
$52426$ |
$[52426, 4257515460, 281417663857066, 18446758351864930560, 1208925823246027437106666, 79228158171191753227986808260, 5192296815534979144729872482357386, 340282366665953473021388812661159592960, 22300745197439454658797173671405113601779466, 1461501637327546550291142122250039619675516162500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.12906000.2 |
$D_{4}$ |
simple |
| 2.256.ace_bxj |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1283 x^{2} - 14336 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64967, 16774137, 4294985455, 1099512094761, 281474972765687, 72057593680033113, 18446744064233517919, 4722366482711007032457, 1208925819613030945148327]$ |
$52428$ |
$[52428, 4257782736, 281423305653012, 18446822057152570176, 1208926333068277082769948, 79228161403854251035354712784, 5192296832745787864443969412491492, 340282366746136495057496171539430049024, 22300745197781475511556921932221564002717292, 1461501637328970777225531109582020890791229917776]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1818609.2 |
$D_{4}$ |
simple |
| 2.256.ace_bxl |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1285 x^{2} - 14336 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64971, 16774473, 4295000271, 1099512556201, 281474984086203, 72057593910479721, 18446744068243777311, 4722366482772223442313, 1208925819613886614084651]$ |
$52430$ |
$[52430, 4258050020, 281428947479750, 18446885693771958080, 1208926840427672387190750, 79228164590296342012940418500, 5192296849351215967318418806142870, 340282366820112723708281746854488433920, 22300745198070561833654140286697776662304750, 1461501637330005217495693490636320631866573150500]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.34741520.2 |
$D_{4}$ |
simple |
| 2.256.ace_bxn |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 256 x^{2} )( 1 - 25 x + 256 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64975, 16774809, 4295015071, 1099513015401, 281474995242607, 72057594132543801, 18446744071919481151, 4722366482822365359369, 1208925819614427226704655]$ |
$52432$ |
$[52432, 4258317312, 281434589337328, 18446949261723340800, 1208927345324213933319952, 79228167730545048624652723200, 5192296865352619289961792337272112, 340282366887917491720515405383244595200, 22300745198307350342139981857039489223596368, 1461501637330658778050424238776000921258364019712]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-399}) \) |
$C_2$, $C_2$ |
1.256.abf $\times$ 1.256.az |
| 2.256.ace_bxp |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1289 x^{2} - 14336 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64979, 16775145, 4295029855, 1099513472361, 281475006234995, 72057594346244169, 18446744075262544063, 4722366482861567420169, 1208925819614660125492499]$ |
$52434$ |
$[52434, 4258584612, 281440231225794, 18447012761006965248, 1208927847757902306575634, 79228170824627393341910805348, 5192296880751353668997287159117506, 340282366949586117673888202626290321408, 22300745198492476840117702716884850990343506, 1461501637330940335408404756646101185454445716132]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2816912.1 |
$D_{4}$ |
simple |
| 2.256.ace_bxr |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1291 x^{2} - 14336 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64983, 16775481, 4295044623, 1099513927081, 281475017063463, 72057594551599641, 18446744078274879903, 4722366482889964067721, 1208925819614592627768823]$ |
$52436$ |
$[52436, 4258851920, 281445873145196, 18447076191623078720, 1208928347728738094846916, 79228173872570398643673853520, 5192296895548774941062835925137116, 340282367005153905981012646949345342720, 22300745198626576216742662354720283121341876, 1461501637330858735667487427103734971468540450000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.988625.1 |
$D_{4}$ |
simple |
| 2.256.ace_bxt |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 56 x + 1293 x^{2} - 14336 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64987, 16775817, 4295059375, 1099514379561, 281475027728107, 72057594748629033, 18446744080958401759, 4722366482907689551497, 1208925819614232025698427]$ |
$52438$ |
$[52438, 4259119236, 281451515095582, 18447139553571928896, 1208928845236721888497798, 79228176874401087016470741924, 5192296909746238942811217225085582, 340282367054656146887422965541710169344, 22300745198710282447222324142473883759404342, 1461501637330422794513980164159027838086136004676]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6733584.3 |
$D_{4}$ |
simple |
| 2.256.ace_bxv |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 29 x + 256 x^{2} )( 1 - 27 x + 256 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$201$ |
$[201, 64991, 16776153, 4295074111, 1099514829801, 281475038229023, 72057594937351161, 18446744083315021951, 4722366482914877927433, 1208925819613585586297951]$ |
$52440$ |
$[52440, 4259386560, 281457157077000, 18447202846853763840, 1208929340281854280371000, 79228179830146480954429752000, 5192296923345101510910166436870760, 340282367098128116471575372198373084160, 22300745198744228592816255809319864274287000, 1461501637329641297231930963927006709153440184000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-183}) \), \(\Q(\sqrt{-295}) \) |
$C_2$, $C_2$ |
1.256.abd $\times$ 1.256.abb |
| 2.256.acd_bwa |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
|
✓ |
|
✓ |
✓ |
$( 1 - 16 x )^{2}( 1 - 23 x + 256 x^{2} )$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$1$ |
$1$ |
$202$ |
$[202, 65008, 16774522, 4294967008, 1099511131402, 281474946493648, 72057593168018842, 18446744056605358528, 4722366482621636089642, 1208925819612066687702448]$ |
$52650$ |
$[52650, 4260438000, 281429750633850, 18446742823911948000, 1208925273843386887466250, 79228154008932884017451298000, 5192296795851271534032910092221850, 340282366605421791073310399807017368000, 22300745197359433166677167781946632578340650, 1461501637327805061502453133181808780658448750000]$ |
$None$ |
$None$ |
$10$ |
$6$ |
$1$ |
\(\Q\), \(\Q(\sqrt{-55}) \) |
Trivial, $C_2$ |
1.256.abg $\times$ 1.256.ax |
| 2.256.acd_bwb |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1249 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65010, 16774687, 4294974114, 1099511347002, 281474951668671, 72057593273096122, 18446744058521171394, 4722366482655368945887, 1208925819612686586514450]$ |
$52651$ |
$[52651, 4260571571, 281432521031104, 18446773344930660899, 1208925510898320008823451, 79228155465572346498856752896, 5192296803422887482161809341609691, 340282366640762300689315650529640367299, 22300745197518732076376248135644482776982464, 1461501637328554473181830681726676088040334231251]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.20876009.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwd |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1251 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65014, 16775017, 4294988314, 1099511776552, 281474961900343, 72057593477341702, 18446744062122393394, 4722366482715365551897, 1208925819613716882793654]$ |
$52653$ |
$[52653, 4260838719, 281438061848100, 18446834335464510699, 1208925983194026518273403, 79228158345531974764319490000, 5192296818140332506309041433509553, 340282366707193121246268879717245382099, 22300745197802058037676408059741817237319900, 1461501637329800024955612734633395033476749971359]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.50319009.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwf |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1253 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65018, 16775347, 4295002498, 1099512203902, 281474971974263, 72057593673724042, 18446744065417946338, 4722366482765509048267, 1208925819614473480497698]$ |
$52655$ |
$[52655, 4261105875, 281443602695120, 18446895257327125875, 1208926453070853840633875, 79228161181088392748594904000, 5192296832291171388575870090139095, 340282366767985342960126555983144295875, 22300745198038854004261055546816108377636880, 1461501637330714695455091802409807703185463046875]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.2623305.2 |
$D_{4}$ |
simple |
| 2.256.acd_bwh |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1255 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65022, 16775677, 4295016666, 1099512629052, 281474981890527, 72057593862261622, 18446744068409672658, 4722366482805926107477, 1208925819614963122282102]$ |
$52657$ |
$[52657, 4261373039, 281449143572212, 18446956110518746811, 1208926920528802526722627, 79228163972268622836212105264, 5192296845876735754094326090652557, 340282366823172952703069258309002281875, 22300745198229718170004399621556937287048572, 1461501637331306636050618941721672455157029824679]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.69351401.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwj |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1257 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65026, 16776007, 4295030818, 1099513052002, 281474991649231, 72057594042972922, 18446744071099414018, 4722366482836743211927, 1208925819615192526573906]$ |
$52659$ |
$[52659, 4261640211, 281454684479424, 18447016895039614275, 1208927385567873129763179, 79228166719099687418808251136, 5192296858898357228009800717155219, 340282366872789923180196189995456734275, 22300745198375247831153247039384697791971264, 1461501637331583968822110182836950589233583414691]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.794025.3 |
$D_{4}$ |
simple |
| 2.256.acd_bwl |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1259 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65030, 16776337, 4295044954, 1099513472752, 281475001250471, 72057594215876422, 18446744073489011314, 4722366482858086653937, 1208925819615168387579350]$ |
$52661$ |
$[52661, 4261907391, 281460225416804, 18447077610889969419, 1208927848188066205388651, 79228169421608608895157438096, 5192296871357367435481149985048361, 340282366916870212929525420748118133459, 22300745198476039386327002695290212593095164, 1461501637331554786568331080456912176260495911151]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.53173329.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwn |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1261 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65034, 16776667, 4295059074, 1099513891302, 281475010694343, 72057594380990602, 18446744075580304674, 4722366482870082535747, 1208925819614897375291554]$ |
$52663$ |
$[52663, 4262174579, 281465766384400, 18447138258070053779, 1208928308389382311645603, 79228172079822409671199640000, 5192296883255098001680799278187023, 340282366955447766321994130486099740739, 22300745198532688336517670037429743810907600, 1461501637331227152816181264556851190537451670059]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.38626289.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwp |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1263 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65038, 16776997, 4295073178, 1099514307652, 281475019980943, 72057594538333942, 18446744077375133458, 4722366482872856769517, 1208925819614386135498198]$ |
$52665$ |
$[52665, 4262441775, 281471307382260, 18447198836580109275, 1208928766171822008997875, 79228174693768112160069692400, 5192296894592880551794848389495685, 340282366988556513561458854879558288275, 22300745198545789285089851485507158459221340, 1461501637330609101829978991236511445807777984375]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.23384025.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwq |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 55 x + 1264 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$202$ |
$[202, 65040, 16777162, 4295080224, 1099514515002, 281475024565296, 72057594614097322, 18446744078161948224, 4722366482870825063962, 1208925819614042500478800]$ |
$52666$ |
$[52666, 4262575376, 281474077892554, 18447229100083951904, 1208928994155963380141626, 79228175984148871052894286896, 5192296900052207453694194099922346, 340282367003070684188708837123845926464, 22300745198536194826875455890760405481625114, 1461501637330193672582505413593870250587671344976]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.63869.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwr |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1265 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65042, 16777327, 4295087266, 1099514721802, 281475029110367, 72057594687924922, 18446744078875336258, 4722366482866535077327, 1208925819613641289789202]$ |
$52667$ |
$[52667, 4262708979, 281476848410432, 18447259346420378211, 1208929221535385860330427, 79228177263472738782126322944, 5192296905372046711023176967686987, 340282367016230370684695732622738151875, 22300745198515935937780748853975126138043712, 1461501637329708638620745693580325482239868011379]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1129089.1 |
$D_{4}$ |
simple |
| 2.256.acd_bwt |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 55 x + 1267 x^{2} - 14080 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$202$ |
$[202, 65046, 16777657, 4295101338, 1099515133752, 281475038082711, 72057594829782022, 18446744080082750898, 4722366482851242991177, 1208925819612669435564406]$ |
$52669$ |
$[52669, 4262976191, 281482389468964, 18447319787591103275, 1208929674480074430953179, 79228179788963311964981227856, 5192296915593928104579550370728609, 340282367038503239561400754449021816275, 22300745198443721102700163780087343194797724, 1461501637328533738955490532527569201406814864191]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1681025.1 |
$D_{4}$ |
simple |
| 2.256.acc_buv |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1217 x^{2} - 13824 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65055, 16775435, 4294973311, 1099510997003, 281474942283807, 72057593146452683, 18446744058353411071, 4722366482690760638795, 1208925819613590274836255]$ |
$52876$ |
$[52876, 4263497632, 281445064084300, 18446769895982889600, 1208925126070961163281356, 79228152823968236180655498400, 5192296794297266023633725007028236, 340282366637667668946656343129134246400, 22300745197685864620733368862942618102130700, 1461501637329646965326943492871880815540626366112]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1991232.3 |
$D_{4}$ |
simple |
| 2.256.acc_bux |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1219 x^{2} - 13824 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65059, 16775759, 4294986895, 1099511394443, 281474951391475, 72057593321600495, 18446744061381968863, 4722366482742438301835, 1208925819614544132196099]$ |
$52878$ |
$[52878, 4263764652, 281450503931562, 18446828240506887648, 1208925563061167720110398, 79228155387548799915467493708, 5192296806917995883852851282405818, 340282366693534699422117091334047686528, 22300745197929905484582320228737603219592238, 1461501637330800108117488999565028100993253618732]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.80359488.2 |
$D_{4}$ |
simple |
| 2.256.acc_buz |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1221 x^{2} - 13824 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65063, 16776083, 4295000463, 1099511789723, 281474960347703, 72057593489396963, 18446744064133220383, 4722366482785464877163, 1208925819615265607338823]$ |
$52880$ |
$[52880, 4264031680, 281455943808080, 18446886516356750080, 1208925997676470576250000, 79228157908502818155389586880, 5192296819009005592493403996345680, 340282366744286332070112248876443438080, 22300745198133092741779466594451995671080080, 1461501637331672318045738364425340730499095000000]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.432625.1 |
$D_{4}$ |
simple |
| 2.256.acc_bvb |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1223 x^{2} - 13824 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65067, 16776407, 4295014015, 1099512182843, 281474969152587, 72057593649860231, 18446744066608936639, 4722366482819959244267, 1208925819615760862182827]$ |
$52882$ |
$[52882, 4264298716, 281461383713902, 18446944723532711136, 1208926429916870251244962, 79228160386857313210216654684, 5192296830571602563222885933826238, 340282366789955236222451958566189299584, 22300745198295987784834695475716994399282162, 1461501637332271044413943804064567641365866990876]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.1551424.1 |
$D_{4}$ |
simple |
| 2.256.acc_bvd |
$2$ |
$\F_{2^{8}}$ |
$2$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 31 x + 256 x^{2} )( 1 - 23 x + 256 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65071, 16776731, 4295027551, 1099512573803, 281474977806223, 72057593803008443, 18446744068810887871, 4722366482846040096011, 1208925819616036035341551]$ |
$52884$ |
$[52884, 4264565760, 281466823649076, 18447002862035005440, 1208926859782367266984404, 79228162822639307396459904000, 5192296841607094209720966733670004, 340282366830574067043862655008663388160, 22300745198419151124950987386614135583933716, 1461501637332603708350389678031738843754839424000]$ |
$None$ |
$None$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-55}) \) |
$C_2$, $C_2$ |
1.256.abf $\times$ 1.256.ax |
| 2.256.acc_bvf |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1227 x^{2} - 13824 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65075, 16777055, 4295041071, 1099512962603, 281474986308707, 72057593948859743, 18446744070740843551, 4722366482863825938635, 1208925819616097242131155]$ |
$52886$ |
$[52886, 4264832812, 281472263613650, 18447060931863868000, 1208927287272962147705606, 79228165215875823037375026700, 5192296852116787945679581479679586, 340282366866175465531987285849623792000, 22300745198503142392024416198685011921927350, 1461501637332677702818677039557370214227532103212]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.119597632.1 |
$D_{4}$ |
simple |
| 2.256.acc_bvh |
$2$ |
$\F_{2^{8}}$ |
$2$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 54 x + 1229 x^{2} - 13824 x^{3} + 65536 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$203$ |
$[203, 65079, 16777379, 4295054575, 1099513349243, 281474994660135, 72057594087432275, 18446744072400572383, 4722366482873435091755, 1208925819615950574578199]$ |
$52888$ |
$[52888, 4265099872, 281477703607672, 18447118933019534208, 1208927712388655419997848, 79228167566593882462990400608, 5192296862101991184803029686264568, 340282366896792058517385534650582711808, 22300745198548520334644149504297093192184728, 1461501637332500392627008186306150046316608328032]$ |
$None$ |
$None$ |
$2$ |
$2$ |
$1$ |
4.0.6493968.1 |
$D_{4}$ |
simple |
