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_mv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 333 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12907, 1445911, 163062339, 18424342686, 2081952637219, 235260571876015, 26584441967694051, 3004041933352362283, 339456738923466485982]$ |
$10481$ |
$[10481, 164813725, 2086304185673, 26586884020875125, 339456571148889738496, 4334524941907725077129725, 55347531072888545548655818817, 706732553706742901462425619097125, 9024267951253838469051926103618719657, 115230877623894116271022394493304764928000]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.748477973.1 |
$D_{4}$ |
simple |
2.113.ax_mw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 334 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12909, 1445980, 163063121, 18424339811, 2081952448722, 235260569661299, 26584441961371489, 3004041933469634476, 339456738924887723709]$ |
$10482$ |
$[10482, 164839932, 2086403861664, 26587011532768704, 339456518179619267922, 4334524549466021364204288, 55347530551853206905998407938, 706732553538661113699816777668352, 9024267951606129054513174715898344608, 115230877624376564995109965128878977859772]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.700895228.1 |
$D_{4}$ |
simple |
2.113.ax_mx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 335 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12911, 1446049, 163063899, 18424336706, 2081952254711, 235260567392165, 26584441955474803, 3004041933607967263, 339456738926592307646]$ |
$10483$ |
$[10483, 164866141, 2086503539659, 26587138393231141, 339456460972901267248, 4334524145544456033826117, 55347530018015461705718496499, 706732553381901001756209824572773, 9024267952021686547547465919409856803, 115230877624955197499640121094210559606016]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.653976837.1 |
$D_{4}$ |
simple |
2.113.ax_my |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 336 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12913, 1446118, 163064673, 18424333371, 2081952055198, 235260565069579, 26584441950038721, 3004041933768029254, 339456738928585026993]$ |
$10484$ |
$[10484, 164892352, 2086603219664, 26587264602270464, 339456399528740273524, 4334523730168013990281216, 55347529471602571962211259252, 706732553237385790183325988531200, 9024267952502519480641198694759193296, 115230877625631639510827621879216255733952]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.37989116.2 |
$D_{4}$ |
simple |
2.113.ax_mz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 337 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12915, 1446187, 163065443, 18424329806, 2081951850195, 235260562694507, 26584441945097923, 3004041933950484091, 339456738930870433950]$ |
$10485$ |
$[10485, 164918565, 2086702901685, 26587390159894725, 339456333847140864000, 4334523303361680167810085, 55347528912841799703307436085, 706732553106037427483816674222725, 9024267953050621462201376069212532085, 115230877626407436303640256673688559616000]$ |
$176$ |
$176$ |
$2$ |
$2$ |
$1$ |
4.0.11480525.2 |
$D_{4}$ |
simple |
2.113.ax_na |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 16 x + 113 x^{2} )( 1 - 7 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12917, 1446256, 163066209, 18424326011, 2081951639714, 235260560267915, 26584441940687041, 3004041934155990448, 339456738933452843957]$ |
$10486$ |
$[10486, 164944780, 2086802585728, 26587515066112000, 339456263928107656246, 4334522865150439530849280, 55347528341960406970496046262, 706732552988776586111390014464000, 9024267953667971176555655436755016832, 115230877627284052783268476809555953749900]$ |
$72$ |
$72$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-403}) \) |
$C_2$, $C_2$ |
1.113.aq $\times$ 1.113.ah |
2.113.ax_nb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 23 x + 339 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$91$ |
$[91, 12919, 1446325, 163066971, 18424321986, 2081951423767, 235260557790769, 26584441936840659, 3004041934385202031, 339456738936336335934]$ |
$10487$ |
$[10487, 164970997, 2086902271799, 26587639320930389, 339456189771645308272, 4334522415559277074273693, 55347527759185655819148796103, 706732552886522662470939280516997, 9024267954356532383952400154242727183, 115230877628262873566595028824088313558272]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.475013693.1 |
$D_{4}$ |
simple |
2.113.ax_nc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 340 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12921, 1446394, 163067729, 18424317731, 2081951202366, 235260555264035, 26584441933593313, 3004041934638767578, 339456738939524752521]$ |
$10488$ |
$[10488, 164997216, 2087001959904, 26587762924358016, 339456111377758518648, 4334521954613177823639552, 55347527164744808318746185144, 706732552800193776918673164092928, 9024267955118253920560732430902173408, 115230877629345203063664588157930388632416]$ |
$132$ |
$132$ |
$2$ |
$2$ |
$1$ |
4.0.108242648.1 |
$D_{4}$ |
simple |
2.113.ax_nd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 341 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12923, 1446463, 163068483, 18424313246, 2081950975523, 235260552688679, 26584441930979491, 3004041934917330859, 339456738943021700318]$ |
$10489$ |
$[10489, 165023437, 2087101650049, 26587885876403029, 339456028746452026624, 4334521482337126835428141, 55347526558865126553105315817, 706732552730706773762247944660325, 9024267955955069698470587528553884641, 115230877630532265559153393502023086641152]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.392215941.1 |
$D_{4}$ |
simple |
2.113.ax_ne |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 342 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12925, 1446532, 163069233, 18424308531, 2081950743250, 235260550065667, 26584441929033633, 3004041935221530676, 339456738946830550125]$ |
$10490$ |
$[10490, 165049660, 2087201342240, 26588008177073600, 339455941877730612250, 4334520998756109197290240, 55347525941773872620609411690, 706732552678977221260901555705600, 9024267956868898705692769290059313440, 115230877631825205293838881807650320101500]$ |
$76$ |
$76$ |
$2$ |
$2$ |
$1$ |
4.0.352855100.1 |
$D_{4}$ |
simple |
2.113.ax_nf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 343 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12927, 1446601, 163069979, 18424303586, 2081950505559, 235260547395965, 26584441927790131, 3004041935552000863, 339456738950954437182]$ |
$10491$ |
$[10491, 165075885, 2087301036483, 26588129826377925, 339455850771599096496, 4334520503895110028291285, 55347525313698308634439049307, 706732552645919411625589563634725, 9024267957861645006159007013613295707, 115230877633225086546069323974028439532800]$ |
$127$ |
$127$ |
$2$ |
$2$ |
$1$ |
4.0.314993813.1 |
$D_{4}$ |
simple |
2.113.ax_ng |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 344 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12929, 1446670, 163070721, 18424298411, 2081950262462, 235260544680539, 26584441927283329, 3004041935909370286, 339456738955396261409]$ |
$10492$ |
$[10492, 165102112, 2087400732784, 26588250824324224, 339455755428062341372, 4334519997779114479157248, 55347524674865696722805108668, 706732552632446361019123073044992, 9024267958935197739722013690627684208, 115230877634732893713233461228035771818272]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.69684552.1 |
$D_{4}$ |
simple |
2.113.ax_nh |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 345 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12931, 1446739, 163071459, 18424293006, 2081950013971, 235260541920355, 26584441927547523, 3004041936294262843, 339456738960158687646]$ |
$10493$ |
$[10493, 165128341, 2087500431149, 26588371170920741, 339455655847125250048, 4334519480433107732521237, 55347524025503299029183447389, 706732552639469809556308572136133, 9024267960091431122155545625075516013, 115230877636349531393230142210861513506816]$ |
$68$ |
$68$ |
$2$ |
$2$ |
$1$ |
4.0.244194797.1 |
$D_{4}$ |
simple |
2.113.ax_ni |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 15 x + 113 x^{2} )( 1 - 8 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12933, 1446808, 163072193, 18424287371, 2081949760098, 235260539116379, 26584441928616961, 3004041936707297464, 339456738965244145893]$ |
$10494$ |
$[10494, 165154572, 2087600131584, 26588490866175744, 339455552028792766974, 4334518951882075003170816, 55347523365838377712551303582, 706732552667900221304089732070400, 9024267961332204445154463452289179136, 115230877638075824465937960786536198931852]$ |
$60$ |
$60$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-227}) \), \(\Q(\sqrt{-97}) \) |
$C_2$, $C_2$ |
1.113.ap $\times$ 1.113.ai |
2.113.ax_nj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 347 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12935, 1446877, 163072923, 18424281506, 2081949500855, 235260536269577, 26584441930525843, 3004041937149088111, 339456738970654831550]$ |
$10495$ |
$[10495, 165180805, 2087699834095, 26588609910097525, 339455443973069878000, 4334518412151001538296045, 55347522696098194947625432495, 706732552718646784281691174131525, 9024267962659362076334794575330511495, 115230877639912518174684894587490176032000]$ |
$90$ |
$90$ |
$2$ |
$2$ |
$1$ |
4.0.2230525.1 |
$D_{4}$ |
simple |
2.113.ax_nk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 348 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12937, 1446946, 163073649, 18424275411, 2081949236254, 235260533380915, 26584441933308321, 3004041937620243778, 339456738976392705657]$ |
$10496$ |
$[10496, 165207040, 2087799538688, 26588728302694400, 339455331679961610496, 4334517861264872617738240, 55347522016510012925101981952, 706732552792617410460764218572800, 9024267964074733459233797037175596032, 115230877641860278207717944312471982259200]$ |
$138$ |
$138$ |
$2$ |
$2$ |
$1$ |
4.0.593393.1 |
$D_{4}$ |
simple |
2.113.ax_nl |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 349 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12939, 1447015, 163074371, 18424269086, 2081948966307, 235260530451359, 26584441936998499, 3004041938121368491, 339456738982459495134]$ |
$10497$ |
$[10497, 165233277, 2087899245369, 26588846043974709, 339455215149473033472, 4334517299248673554239453, 55347521327301093851898111633, 706732552890718735765534629084837, 9024267965580133113310024847082209433, 115230877643919690779672773792345222582272]$ |
$92$ |
$92$ |
$2$ |
$2$ |
$1$ |
4.0.125286773.1 |
$D_{4}$ |
simple |
2.113.ax_nm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 350 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12941, 1447084, 163075089, 18424262531, 2081948691026, 235260527481875, 26584441941630433, 3004041938653061308, 339456738988856693021]$ |
$10498$ |
$[10498, 165259516, 2087998954144, 26588963133946816, 339455094381609257698, 4334516726127389693692672, 55347520628698699951395361234, 706732553013856120072952366853888, 9024267967177360633943394779633438368, 115230877646091262713043350839470514966716]$ |
$46$ |
$46$ |
$2$ |
$2$ |
$1$ |
4.0.100915452.1 |
$D_{4}$ |
simple |
2.113.ax_nn |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 351 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12943, 1447153, 163075803, 18424255746, 2081948410423, 235260524473429, 26584441947238131, 3004041939215916319, 339456738995585558718]$ |
$10499$ |
$[10499, 165285757, 2088098665019, 26589079572619109, 339454969376375435824, 4334516141926006415392741, 55347519920930093463684772547, 706732553162933647212843368221925, 9024267968868200692435254665076896531, 115230877648375421519651588896568289463552]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.78903461.1 |
$D_{4}$ |
simple |
2.113.ax_no |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 14 x + 113 x^{2} )( 1 - 9 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12945, 1447222, 163076513, 18424248731, 2081948124510, 235260521426987, 26584441953855553, 3004041939810522646, 339456739002647118225]$ |
$10500$ |
$[10500, 165312000, 2088198378000, 26589195360000000, 339454840133776762500, 4334515546669509132288000, 55347519204222536645813770500, 706732553338854124968063360000000, 9024267970654423036008453189705258000, 115230877650772515482116989501148708800000]$ |
$120$ |
$120$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-371}) \) |
$C_2$, $C_2$ |
1.113.ao $\times$ 1.113.aj |
2.113.ax_np |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 353 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12947, 1447291, 163077219, 18424241486, 2081947833299, 235260518343515, 26584441961516611, 3004041940437464443, 339456739010042164382]$ |
$10501$ |
$[10501, 165338245, 2088298093093, 26589310496097925, 339454706653818474496, 4334514940382883291232645, 55347518478803291772034808197, 706732553542519085074653726526725, 9024267972537782487807411225150467557, 115230877653282813735326285581786724761600]$ |
$44$ |
$44$ |
$2$ |
$2$ |
$1$ |
4.0.42394653.1 |
$D_{4}$ |
simple |
2.113.ax_nq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 354 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12949, 1447360, 163077921, 18424234011, 2081947536802, 235260515223979, 26584441970255169, 3004041941097320896, 339456739017771257109]$ |
$10502$ |
$[10502, 165364492, 2088397810304, 26589424980921344, 339454568936505850822, 4334514323091114373239808, 55347517744899621134055780998, 706732553774828783221999442604032, 9024267974520018946898194705590996608, 115230877655906506347903085602713299317772]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.28117388.1 |
$D_{4}$ |
simple |
2.113.ax_nr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 355 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12951, 1447429, 163078619, 18424226306, 2081947235031, 235260512069345, 26584441980105043, 3004041941790666223, 339456739025834723646]$ |
$10503$ |
$[10503, 165390741, 2088497529639, 26589538814478741, 339454426981844212848, 4334513694819187893735357, 55347517002738787041292214679, 706732554036682199052989086482693, 9024267976602857388268589071998884223, 115230877658643704403677518573388105999616]$ |
$45$ |
$45$ |
$2$ |
$2$ |
$1$ |
4.0.16638557.1 |
$D_{4}$ |
simple |
2.113.ax_ns |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 13 x + 113 x^{2} )( 1 - 10 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12953, 1447498, 163079313, 18424218371, 2081946927998, 235260508880579, 26584441991100001, 3004041942518069674, 339456739034232658793]$ |
$10504$ |
$[10504, 165416992, 2088597251104, 26589651996778624, 339454280789838924424, 4334513055592089402812416, 55347516252548051821121232712, 706732554328977036164176947110400, 9024267978788007862828175302681036576, 115230877661494440083155879939914589118752]$ |
$36$ |
$36$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-283}) \), \(\Q(\sqrt{-22}) \) |
$C_2$, $C_2$ |
1.113.an $\times$ 1.113.ak |
2.113.ax_nt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 357 x^{2} - 2599 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12955, 1447567, 163080003, 18424210206, 2081946615715, 235260505658647, 26584442003273763, 3004041943280095531, 339456739042964925150]$ |
$10505$ |
$[10505, 165443245, 2088696974705, 26589764527829525, 339454130360495392000, 4334512405434804485486605, 55347515494554677819137307705, 706732554652609722105947239895525, 9024267981077165497408407549497354705, 115230877664458666744990278375355099648000]$ |
$26$ |
$26$ |
$2$ |
$2$ |
$1$ |
4.0.2519525.1 |
$D_{4}$ |
simple |
2.113.ax_nu |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 12 x + 113 x^{2} )( 1 - 11 x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$91$ |
$[91, 12957, 1447636, 163080689, 18424201811, 2081946298194, 235260502404515, 26584442016660001, 3004041944077303108, 339456739052031153357]$ |
$10506$ |
$[10506, 165469500, 2088796700448, 26589876407640000, 339453975693819064746, 4334511744372318761952000, 55347514728985927399409802042, 706732555008475408382680445280000, 9024267983472010494762692399266720032, 115230877667536259007448283486201950597500]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-77}) \), \(\Q(\sqrt{-331}) \) |
$C_2$, $C_2$ |
1.113.am $\times$ 1.113.al |
2.113.aw_ji |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 242 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$92$ |
$[92, 12770, 1440764, 162996798, 18424036732, 2081951752610, 235260525836764, 26584441302894718, 3004041933605912732, 339456738992222314850]$ |
$10504$ |
$[10504, 163022080, 2078874885256, 26576198567526400, 339450934228729425544, 4334523100187893491723520, 55347520241668939511359232776, 706732536033423792727409059430400, 9024267952015514650681070955032784904, 115230877647233745722890627213669621792000]$ |
$32$ |
$32$ |
$4$ |
$8$ |
$4$ |
\(\Q(i, \sqrt{105})\) |
$C_2^2$ |
simple |
2.113.aw_jj |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 243 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12772, 1440830, 162997764, 18424049052, 2081951978014, 235260529675676, 26584441350870276, 3004041934153767710, 339456738999908584932]$ |
$10505$ |
$[10505, 163048105, 2078970090560, 26576356046887625, 339451161216780990025, 4334523569468829095265280, 55347521144813493218244626345, 706732537308827213452563280159625, 9024267953661293980039209472315119680, 115230877649842901900224016702703483498025]$ |
$42$ |
$42$ |
$2$ |
$2$ |
$1$ |
4.0.12903488.1 |
$D_{4}$ |
simple |
2.113.aw_jk |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 244 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12774, 1440896, 162998726, 18424061152, 2081952197622, 235260533406172, 26584441396928254, 3004041934666611932, 339456739007001043734]$ |
$10506$ |
$[10506, 163074132, 2079065297322, 26576512874228304, 339451384151393953626, 4334524026682755038272308, 55347522022452041634661890522, 706732538533252840787326915433472, 9024267955201899530051764713564025722, 115230877652250484836847848634626906144372]$ |
$64$ |
$64$ |
$2$ |
$2$ |
$1$ |
4.0.361894208.1 |
$D_{4}$ |
simple |
2.113.aw_jl |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 245 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12776, 1440962, 162999684, 18424073032, 2081952411446, 235260537029176, 26584441441103428, 3004041935145339170, 339456739013518730696]$ |
$10507$ |
$[10507, 163100161, 2079160505548, 26576669049554281, 339451603032569850067, 4334524471854654553838992, 55347522874801965365249994547, 706732539707625175277640411009993, 9024267956640016229296015177599804556, 115230877654462957598977522790857814574241]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.511543872.1 |
$D_{4}$ |
simple |
2.113.aw_jm |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 246 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12778, 1441028, 163000638, 18424084692, 2081952619498, 235260540545612, 26584441483430526, 3004041935590838444, 339456739019480453418]$ |
$10508$ |
$[10508, 163126192, 2079255715244, 26576824572871424, 339451817860310242348, 4334524905009510886778416, 55347523702080645015100350476, 706732540832867441415296975974400, 9024267957978314731141754358522479756, 115230877656486704553178100247605615912752]$ |
$42$ |
$42$ |
$2$ |
$2$ |
$1$ |
4.0.40967216.1 |
$D_{4}$ |
simple |
2.113.aw_jn |
$2$ |
$\F_{113}$ |
$113$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 21 x + 113 x^{2} )( 1 - x + 113 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12780, 1441094, 163001588, 18424096132, 2081952821790, 235260543956404, 26584441523944228, 3004041936003994022, 339456739024904787900]$ |
$10509$ |
$[10509, 163152225, 2079350926416, 26576979444185625, 339452028634616722869, 4334525326172307293798400, 55347524504505461189850793221, 706732541909901587637957665435625, 9024267959219451413751285382455476304, 115230877658328031447833918243959343980625]$ |
$156$ |
$156$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-451}) \) |
$C_2$, $C_2$ |
1.113.av $\times$ 1.113.ab |
2.113.aw_jo |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 248 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12782, 1441160, 163002534, 18424107352, 2081953018334, 235260547262476, 26584441562679166, 3004041936385685420, 339456739029810078782]$ |
$10510$ |
$[10510, 163178260, 2079446139070, 26577133663502800, 339452235355490913550, 4334525735368027043678260, 55347525282293794495780795390, 706732542939648286329167284761600, 9024267960366068380079415864125721310, 115230877659993165494618205030648024493300]$ |
$84$ |
$84$ |
$2$ |
$2$ |
$1$ |
4.0.11437888.1 |
$D_{4}$ |
simple |
2.113.aw_jp |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 249 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12784, 1441226, 163003476, 18424118352, 2081953209142, 235260550464752, 26584441599669924, 3004041936736787402, 339456739034214439584]$ |
$10511$ |
$[10511, 163204297, 2079541353212, 26577287230828889, 339452438022934465951, 4334526132621653417446288, 55347526035663025539907921967, 706732543923026933818371125251817, 9024267961420793457873452991155675132, 115230877661488255449962694702367647365497]$ |
$45$ |
$45$ |
$2$ |
$2$ |
$1$ |
4.0.438848.1 |
$D_{4}$ |
simple |
2.113.aw_jq |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 250 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12786, 1441292, 163004414, 18424129132, 2081953394226, 235260553564156, 26584441634951038, 3004041937058169980, 339456739038135752946]$ |
$10512$ |
$[10512, 163230336, 2079636568848, 26577440146169856, 339452636636949061392, 4334526517958169708557952, 55347526764830534930085529872, 706732544860955650380932541186048, 9024267962386240199673198844032070416, 115230877662819371696527242016651733606016]$ |
$140$ |
$140$ |
$2$ |
$2$ |
$1$ |
4.0.18366368.1 |
$D_{4}$ |
simple |
2.113.aw_jr |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 251 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12788, 1441358, 163005348, 18424139692, 2081953573598, 235260556561612, 26584441668556996, 3004041937350698414, 339456739041591670868]$ |
$10513$ |
$[10513, 163256377, 2079731785984, 26577592409531689, 339452831197536411073, 4334526891402559223074816, 55347527470013703275101717441, 706732545754351280238151378228425, 9024267963265007882810945959805767936, 115230877663992506324669437202345979951577]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.5046336.2 |
$D_{4}$ |
simple |
2.113.aw_js |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 252 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12790, 1441424, 163006278, 18424150032, 2081953747270, 235260559458044, 26584441700522238, 3004041937615233212, 339456739044599614950]$ |
$10514$ |
$[10514, 163282420, 2079827004626, 26577744020920400, 339453021704698256194, 4334527252979805279844180, 55347528151429911184779528866, 706732546604129391557283263206400, 9024267964059681509411473147667132354, 115230877665013573213914220760831858180500]$ |
$148$ |
$148$ |
$2$ |
$2$ |
$1$ |
4.0.1402990400.2 |
$D_{4}$ |
simple |
2.113.aw_jt |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 253 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12792, 1441490, 163007204, 18424160152, 2081953915254, 235260562254376, 26584441730881156, 3004041937852630130, 339456739047176776632]$ |
$10515$ |
$[10515, 163308465, 2079922224780, 26577894980342025, 339453208158436368075, 4334527602714891210679440, 55347528809296539270078418635, 706732547411204276451559765324425, 9024267964772831806392041564631688140, 115230877665888408114423498263229341595825]$ |
$62$ |
$62$ |
$2$ |
$2$ |
$1$ |
4.0.1508906048.1 |
$D_{4}$ |
simple |
2.113.aw_ju |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 254 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12794, 1441556, 163008126, 18424170052, 2081954077562, 235260564951532, 26584441759668094, 3004041938063740172, 339456739049340117434]$ |
$10516$ |
$[10516, 163334512, 2080017446452, 26578045287802624, 339453390558752548276, 4334527940632800360541168, 55347529443830968143196981012, 706732548176488950980209438912512, 9024267965407015225462391059661535892, 115230877666622768728465755146895132101872]$ |
$144$ |
$144$ |
$2$ |
$2$ |
$1$ |
4.0.100605168.1 |
$D_{4}$ |
simple |
2.113.aw_jv |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 255 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12796, 1441622, 163009044, 18424179732, 2081954234206, 235260567550436, 26584441786917348, 3004041938249409590, 339456739051106369196]$ |
$10517$ |
$[10517, 163360561, 2080112669648, 26578194943308281, 339453568905648628717, 4334528266758516087718912, 55347530055250578417676949597, 706732548900895155148479757850153, 9024267965964773943124736794639092176, 115230877667222334791885671514619871247041]$ |
$126$ |
$126$ |
$2$ |
$2$ |
$1$ |
4.0.2175248.1 |
$D_{4}$ |
simple |
2.113.aw_jw |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 256 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12798, 1441688, 163009958, 18424189192, 2081954385198, 235260570052012, 26584441812663166, 3004041938410479884, 339456739052492034318]$ |
$10518$ |
$[10518, 163386612, 2080207894374, 26578343946865104, 339453743199126471798, 4334528581117021764013716, 55347530643772750708508472006, 706732549585333352907659951846400, 9024267966448635860673766150701161766, 115230877667692708155573736940015841197652]$ |
$72$ |
$72$ |
$2$ |
$2$ |
$1$ |
4.0.1796115776.1 |
$D_{4}$ |
simple |
2.113.aw_jx |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 257 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12800, 1441754, 163010868, 18424198432, 2081954530550, 235260572457184, 26584441836939748, 3004041938547787802, 339456739053513386000]$ |
$10519$ |
$[10519, 163412665, 2080303120636, 26578492298479225, 339453913439187970519, 4334528883733300774921360, 55347531209614865632236664711, 706732550230712732155104754797225, 9024267966861114604196635928533159804, 115230877668039412866935865282675600471625]$ |
$90$ |
$90$ |
$2$ |
$2$ |
$1$ |
4.0.23233600.1 |
$D_{4}$ |
simple |
2.113.aw_jy |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 258 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12802, 1441820, 163011774, 18424207452, 2081954670274, 235260574766876, 26584441859781246, 3004041938662165340, 339456739054186468482]$ |
$10520$ |
$[10520, 163438720, 2080398348440, 26578639998156800, 339454079625835048600, 4334529174632336519816320, 55347531752994303807069453080, 706732550837941204734259075481600, 9024267967204709524572969851315472920, 115230877668267895251363009516771858025600]$ |
$168$ |
$168$ |
$2$ |
$2$ |
$1$ |
4.0.30670112.1 |
$D_{4}$ |
simple |
2.113.aw_jz |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 259 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12804, 1441886, 163012676, 18424216252, 2081954804382, 235260576982012, 26584441881221764, 3004041938754439742, 339456739054527097284]$ |
$10521$ |
$[10521, 163464777, 2080493577792, 26578787045904009, 339454241759069660601, 4334529453839112412136448, 55347532274128445852986701657, 706732551407925406434683600898057, 9024267967481905697474856379106482752, 115230877668383523993700776576859671583497]$ |
$120$ |
$120$ |
$2$ |
$2$ |
$1$ |
4.0.127443008.1 |
$D_{4}$ |
simple |
2.113.aw_ka |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 260 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12806, 1441952, 163013574, 18424224832, 2081954932886, 235260579103516, 26584441901295358, 3004041938825433500, 339456739054550859446]$ |
$10522$ |
$[10522, 163490836, 2080588808698, 26578933441727056, 339454399838893792042, 4334529721378611879568372, 55347532773234672391850639722, 706732551941570696992081342583808, 9024267967695173923366846843539672586, 115230877668391590219719042224733765547316]$ |
$108$ |
$108$ |
$2$ |
$2$ |
$1$ |
4.0.2110600512.1 |
$D_{4}$ |
simple |
2.113.aw_kb |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 261 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12808, 1442018, 163014468, 18424233192, 2081955055798, 235260581132312, 26584441920036036, 3004041938875964354, 339456739054273113768]$ |
$10523$ |
$[10523, 163516897, 2080684041164, 26579079185632169, 339454553865309459523, 4334529977275818364233616, 55347533250530364047517587171, 706732552439781160088325136298825, 9024267967846970727505953911805497996, 115230877668297307577581565941286404070977]$ |
$46$ |
$46$ |
$2$ |
$2$ |
$1$ |
4.0.2177500736.1 |
$D_{4}$ |
simple |
2.113.aw_kc |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 262 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12810, 1442084, 163015358, 18424241332, 2081955173130, 235260583069324, 26584441937477758, 3004041938906845292, 339456739053708991050]$ |
$10524$ |
$[10524, 163542960, 2080779275196, 26579224277625600, 339454703838318710844, 4334530221555715322875440, 55347533706232901445950985756, 706732552903459603351486105497600, 9024267967939738359941650388982325404, 115230877668105812319315605847404829534000]$ |
$276$ |
$276$ |
$2$ |
$2$ |
$1$ |
4.0.139991600.1 |
$D_{4}$ |
simple |
2.113.aw_kd |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 263 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12812, 1442150, 163016244, 18424249252, 2081955284894, 235260584915476, 26584441953654436, 3004041938918884550, 339456739052873394332]$ |
$10525$ |
$[10525, 163569025, 2080874510800, 26579368717713625, 339454849757923625125, 4334530454243286227046400, 55347534140559665215335740725, 706732553333507558355863099051625, 9024267967975904795515868367874728400, 115230877667822163382281533658041789352625]$ |
$88$ |
$88$ |
$2$ |
$2$ |
$1$ |
4.0.8975673.1 |
$D_{4}$ |
simple |
2.113.aw_ke |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 264 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12814, 1442216, 163017126, 18424256952, 2081955391102, 235260586671692, 26584441968599934, 3004041938912885612, 339456739051780999134]$ |
$10526$ |
$[10526, 163595092, 2080969747982, 26579512505902544, 339454991624126312926, 4334530675363514563296628, 55347534553728035986193877902, 706732553730825280622013113725952, 9024267967957883733862998735611780462, 115230877667451342470642449673688128440372]$ |
$114$ |
$114$ |
$2$ |
$2$ |
$1$ |
4.0.2351298368.1 |
$D_{4}$ |
simple |
2.113.aw_kf |
$2$ |
$\F_{113}$ |
$113$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 265 x^{2} - 2486 x^{3} + 12769 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$92$ |
$[92, 12816, 1442282, 163018004, 18424264432, 2081955491766, 235260588338896, 26584441982348068, 3004041938889647210, 339456739050446253696]$ |
$10527$ |
$[10527, 163621161, 2081064986748, 26579655642198681, 339455129436928916367, 4334530884941383833362832, 55347534945955394391501521247, 706732554096311749616782711953513, 9024267967888074599409891046352694396, 115230877666998254136833797813572824306841]$ |
$110$ |
$110$ |
$2$ |
$2$ |
$1$ |
4.0.2400521792.1 |
$D_{4}$ |
simple |