| 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 |
| 2.163.aby_bkp |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$114$ |
$[114, 25972, 4323948, 705839236, 115062912294, 18755363780998, 3057125211164418, 498311414511757828, 81224760543592981524, 13239635967230078250772]$ |
$19321$ |
$[19321, 690165441, 18725940713104, 498260220088499001, 13239554876288343679561, 351763779282648898653686016, 9346014648606910149640314343249, 248314265736217549195510067913275625, 6597461724572951880052841378186437791376, 175287960541966610007672298774685592764750721]$ |
$2$ |
$2$ |
$24$ |
$12$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
1.163.az 2 |
| 2.163.abx_bjq |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 25 x + 163 x^{2} )( 1 - 24 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$115$ |
$[115, 26021, 4325260, 705866137, 115063380325, 18755370981254, 3057125310580015, 498311415739115953, 81224760556748015860, 13239635967340870081061]$ |
$19460$ |
$[19460, 691452720, 18731618193680, 498279208845297600, 13239608729463169976300, 351763914326090364952439040, 9346014952532839615073533084220, 248314266347824112457928153937760000, 6597461725641466393873125064533019681040, 175287960543433453508830054567761006770343600]$ |
$0$ |
$0$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.ay |
| 2.163.abw_biq |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 900 x^{2} - 7824 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$116$ |
$[116, 26066, 4326284, 705881814, 115063529156, 18755370777026, 3057125262158300, 498311414352315358, 81224760528362714708, 13239635966855815968146]$ |
$19598$ |
$[19598, 692632516, 18736047682094, 498290274138211216, 13239625854229675403198, 351763910495670195532738372, 9346014804501584527563610313534, 248314265656765545408547646052569088, 6597461723335877104962330886684919111918, 175287960537011513629511765257251771310835716]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.55552.1 |
$D_{4}$ |
simple |
| 2.163.abw_bir |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )( 1 - 23 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$116$ |
$[116, 26068, 4326428, 705887428, 115063688996, 18755374494598, 3057125336771804, 498311415684461956, 81224760549897535844, 13239635967174192988468]$ |
$19599$ |
$[19599, 692687457, 18736672536144, 498294237640546809, 13239644246156138621199, 351763980220145356187740416, 9346015032604418486017794062247, 248314266320589401909428295115928425, 6597461725085037794998215278150226367056, 175287960541226709478840094655054316090446177]$ |
$8$ |
$8$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-123}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.ax |
| 2.163.abw_bis |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 24 x + 163 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$116$ |
$[116, 26070, 4326572, 705893038, 115063848356, 18755378181510, 3057125409995612, 498311416966474078, 81224760569903050196, 13239635967451661911350]$ |
$19600$ |
$[19600, 692742400, 18737297395600, 498298198325760000, 13239662582857049290000, 351764049369583674937657600, 9346015256458778963967678691600, 248314266959430677226754206965760000, 6597461726709980907866463679260940531600, 175287960544900297010000085190495207353760000]$ |
$14$ |
$14$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-19}) \) |
$C_2$ |
1.163.ay 2 |
| 2.163.abv_bhr |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 47 x + 875 x^{2} - 7661 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$117$ |
$[117, 26111, 4327317, 705898339, 115063720632, 18755372102051, 3057125257530531, 498311414026616563, 81224760522461796855, 13239635966795733549446]$ |
$19737$ |
$[19737, 693814761, 18740517929523, 498301938808875981, 13239647886122274397392, 351763935347013921976933377, 9346014790353919039236765904647, 248314265494466119028624314701773973, 6597461722856576465525022944935875402741, 175287960536216044277910335954612167420598016]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.40053.1 |
$D_{4}$ |
simple |
| 2.163.abv_bhs |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )( 1 - 22 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$117$ |
$[117, 26113, 4327458, 705903673, 115063866567, 18755375328898, 3057125318367237, 498311415032988721, 81224760537295546614, 13239635966991965188993]$ |
$19738$ |
$[19738, 693869652, 18741129704584, 498305704588028064, 13239664678055109160198, 351763995867747776897927616, 9346014976339352433214833392566, 248314265995952852723102043008476800, 6597461724061444237479894470714188442536, 175287960538814079750701002976819841202234452]$ |
$6$ |
$6$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-42}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.aw |
| 2.163.abv_bht |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 47 x + 877 x^{2} - 7661 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$117$ |
$[117, 26115, 4327599, 705909003, 115064012032, 18755378526495, 3057125377918869, 498311415994666563, 81224760550822403187, 13239635967154889210950]$ |
$19739$ |
$[19739, 693924545, 18741741484901, 498309467549648525, 13239681415912501372944, 351764055839889423733380305, 9346015158396154635379748719841, 248314266475167898927031879757569525, 6597461725160159923451262826973078849879, 175287960540971134491693680969485250854368000]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.173525.1 |
$D_{4}$ |
simple |
| 2.163.abv_bhu |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 24 x + 163 x^{2} )( 1 - 23 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$117$ |
$[117, 26117, 4327740, 705914329, 115064157027, 18755381694854, 3057125436187401, 498311416911820081, 81224760563052570180, 13239635967284984818757]$ |
$19740$ |
$[19740, 693979440, 18742353270480, 498313227693758400, 13239698099694485531700, 351764115263663963149175040, 9346015336530360438784279602660, 248314266932195966611174320862252800, 6597461726153552308901435593049585388240, 175287960542693552979991658817632889078913200]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-123}) \) |
$C_2$, $C_2$ |
1.163.ay $\times$ 1.163.ax |
| 2.163.abu_bgr |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 46 x + 849 x^{2} - 7498 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$118$ |
$[118, 26152, 4328080, 705905284, 115063672198, 18755368716094, 3057125177055634, 498311412684194116, 81224760505236766720, 13239635966630813006632]$ |
$19875$ |
$[19875, 694889625, 18743818270500, 498306840625745625, 13239642313044741961875, 351763871842138011168474000, 9346014544332082720784570524875, 248314264825521691677280610111075625, 6597461721457477517793056403453748426500, 175287960534032556327597431329248589783685625]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.571968.5 |
$D_{4}$ |
simple |
| 2.163.abu_bgs |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 46 x + 850 x^{2} - 7498 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$118$ |
$[118, 26154, 4328218, 705910350, 115063805598, 18755371534458, 3057125227573570, 498311413478906334, 81224760516505231654, 13239635966779193306314]$ |
$19876$ |
$[19876, 694944464, 18744416964244, 498310417152102656, 13239657662621701104916, 351763924701610325593522256, 9346014698771740603393140190756, 248314265221535860602831836758052864, 6597461722372755883485648672745615183876, 175287960535997057480030111929678805751622224]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.83600.1 |
$D_{4}$ |
simple |
| 2.163.abu_bgt |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )( 1 - 21 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$118$ |
$[118, 26156, 4328356, 705915412, 115063938538, 18755374324934, 3057125276903326, 498311414233715428, 81224760526651375708, 13239635966900146962236]$ |
$19877$ |
$[19877, 694999305, 18745015663088, 498313990860510825, 13239672959273330652797, 351763977038034823876373760, 9346014849578984138620167745493, 248314265597665847584185700429535625, 6597461723196874004506798373211405278192, 175287960537598439853291467606869972049864025]$ |
$24$ |
$24$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-211}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.av |
| 2.163.abu_bgu |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 46 x + 852 x^{2} - 7498 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$118$ |
$[118, 26158, 4328494, 705920470, 115064071018, 18755377087534, 3057125325046834, 498311414948783710, 81224760535684673686, 13239635966994105402238]$ |
$19878$ |
$[19878, 695054148, 18745614367038, 498317561750990544, 13239688202999662862238, 351764028851636602829476836, 9346014996759719715956816285574, 248314265953992534556905732024972288, 6597461723930601469548592797805709926422, 175287960538842415394931453502414310626585188]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.1159488.4 |
$D_{4}$ |
simple |
| 2.163.abu_bgv |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 46 x + 853 x^{2} - 7498 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$118$ |
$[118, 26160, 4328632, 705925524, 115064203038, 18755379822270, 3057125372006026, 498311415624273444, 81224760543614590456, 13239635967061498988800]$ |
$19879$ |
$[19879, 695108993, 18746213076100, 498321129823562249, 13239703393800730092079, 351764080142640759472499600, 9346015140319853725165280767831, 248314266290596779537866711079097289, 6597461724574707060254092702599905808100, 175287960539734681947521569950486895658203953]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.666176.1 |
$D_{4}$ |
simple |
| 2.163.abu_bgw |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 24 x + 163 x^{2} )( 1 - 22 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$118$ |
$[118, 26162, 4328770, 705930574, 115064334598, 18755382529154, 3057125417782834, 498311416260346846, 81224760550450580950, 13239635967102757019282]$ |
$19880$ |
$[19880, 695163840, 18746811790280, 498324695078246400, 13239718531676564803400, 351764130911272391032943040, 9346015280265292556280303101480, 248314266607559416625257100557516800, 6597461725129958751217335184590995262440, 175287960540280923251832377787965042067403200]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-42}) \) |
$C_2$, $C_2$ |
1.163.ay $\times$ 1.163.aw |
| 2.163.abu_bgx |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 23 x + 163 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$118$ |
$[118, 26164, 4328908, 705935620, 115064465698, 18755385208198, 3057125462379190, 498311416857166084, 81224760556202090164, 13239635967118307726164]$ |
$19881$ |
$[19881, 695218689, 18747410509584, 498328257515063481, 13239733616627199559641, 351764181157756594946754816, 9346015416601942599610691534241, 248314266904961255998581494146821609, 6597461725597123709983336583287845605136, 175287960540486808950011013697965826299530049]$ |
$12$ |
$12$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
1.163.ax 2 |
| 2.163.abt_bfs |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 45 x + 824 x^{2} - 7335 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26193, 4328858, 705913561, 115063685669, 18755367337122, 3057125147239583, 498311412391264753, 81224760506321124254, 13239635966737146917553]$ |
$20014$ |
$[20014, 695966836, 18747185129896, 498312683291570976, 13239643863120727830514, 351763845979029885856517056, 9346014453180684556209980781826, 248314264679551646851613806487068800, 6597461721545554198792882623305611608904, 175287960535440378599122587675251444444958196]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.2395800.1 |
$D_{4}$ |
simple |
| 2.163.abt_bft |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 45 x + 825 x^{2} - 7335 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26195, 4328993, 705918363, 115063806944, 18755369768135, 3057125188150523, 498311412990880003, 81224760514255585769, 13239635966836934121350]$ |
$20015$ |
$[20015, 696021625, 18747770750345, 498316073399828125, 13239657817526454753200, 351763891573583642346909625, 9346014578250550963865693903405, 248314264978346769555751525146703125, 6597461722190028935173450538665221753635, 175287960536761524851540487092839794114400000]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.3785341.1 |
$D_{4}$ |
simple |
| 2.163.abt_bfu |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )( 1 - 20 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26197, 4329128, 705923161, 115063927769, 18755372172598, 3057125227966523, 498311413555096753, 81224760521236925144, 13239635966914544781397]$ |
$20016$ |
$[20016, 696076416, 18748356375744, 498319460689752576, 13239671720157033432336, 351763936670183926379452416, 9346014699973049198232486573264, 248314265259502415796543573699840000, 6597461722757086553997142721319137240256, 175287960537789061737703592015738351538900096]$ |
$40$ |
$40$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.au |
| 2.163.abt_bfv |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 45 x + 827 x^{2} - 7335 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26199, 4329263, 705927955, 115064048144, 18755374550523, 3057125266689473, 498311414084069779, 81224760527273917109, 13239635966970365500614]$ |
$20017$ |
$[20017, 696131209, 18748942006099, 498322845161364141, 13239685571012494055632, 351763981269055831372392241, 9346014818353957245962706905383, 248314265523095712231987826940917269, 6597461723247439780611397357092470088541, 175287960538528107739538009441206723894061824]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.4017069.1 |
$D_{4}$ |
simple |
| 2.163.abt_bfw |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 45 x + 828 x^{2} - 7335 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26201, 4329398, 705932745, 115064168069, 18755376901922, 3057125304321263, 498311414577953809, 81224760532375326674, 13239635967004781865161]$ |
$20018$ |
$[20018, 696186004, 18749527641416, 498326226814682656, 13239699370092866909918, 351764025370424450938238656, 9346014933399053093952717762062, 248314265769203761601356854097785984, 6597461723661800550859138088487784759784, 175287960538983767877437671295768516538663124]$ |
$14$ |
$14$ |
$2$ |
$2$ |
$1$ |
4.0.3299224.1 |
$D_{4}$ |
simple |
| 2.163.abt_bfx |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 45 x + 829 x^{2} - 7335 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26203, 4329533, 705937531, 115064287544, 18755379226807, 3057125340863783, 498311415036903523, 81224760536549909129, 13239635967018178444678]$ |
$20019$ |
$[20019, 696240801, 18750113281701, 498329605649727981, 13239713117398182381264, 351764068974514878884359041, 9346015045114114729344318591681, 248314265997903642725200118289777525, 6597461724000880011078776504730587400159, 175287960539161133713441849274374643549181696]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.2319525.8 |
$D_{4}$ |
simple |
| 2.163.abt_bfy |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 24 x + 163 x^{2} )( 1 - 21 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26205, 4329668, 705942313, 115064406569, 18755381525190, 3057125376318923, 498311415461073553, 81224760539806410044, 13239635967010938792525]$ |
$20020$ |
$[20020, 696295600, 18750698926960, 498332981666520000, 13239726812928470955100, 351764112081552209213574400, 9346015153504920139526171434540, 248314266209272410505346187719520000, 6597461724265388518104214653341529869680, 175287960539065283354412669708618874452190000]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-211}) \) |
$C_2$, $C_2$ |
1.163.ay $\times$ 1.163.av |
| 2.163.abt_bfz |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 45 x + 831 x^{2} - 7335 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26207, 4329803, 705947091, 115064525144, 18755383797083, 3057125410688573, 498311415850618483, 81224760542153565269, 13239635966983445446022]$ |
$20021$ |
$[20021, 696350401, 18751284577199, 498336354865078621, 13239740456683763216336, 351764154691761536124755881, 9346015258577247312135231101819, 248314266403387095924904958631868725, 6597461724456035639264847573343393464761, 175287960538701281455212628464234749067364096]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.458725.1 |
$D_{4}$ |
simple |
| 2.163.abt_bga |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 23 x + 163 x^{2} )( 1 - 22 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$119$ |
$[119, 26209, 4329938, 705951865, 115064643269, 18755386042498, 3057125443974623, 498311416205692849, 81224760543600100934, 13239635966936079926689]$ |
$20022$ |
$[20022, 696405204, 18751870232424, 498339725245423776, 13239754048664089849482, 351764196805367954013422016, 9346015360336874235058179532698, 248314266580324706048269890073355904, 6597461724573530152385565850211217707016, 175287960538074179221882105868104092499808724]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \), \(\Q(\sqrt{-42}) \) |
$C_2$, $C_2$ |
1.163.ax $\times$ 1.163.aw |
| 2.163.abs_bes |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 798 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26230, 4329384, 705913774, 115063524600, 18755363155750, 3057125083076520, 498311411768505694, 81224760504261240312, 13239635966787143560150]$ |
$20152$ |
$[20152, 696936768, 18749460156856, 498312833339802624, 13239625329965910743032, 351763767555872267152814400, 9346014257026169818746359834488, 248314264369223700075655286061809664, 6597461721378240618923441780956970336824, 175287960536102315946672385571852437840043328]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.39744.5 |
$D_{4}$ |
simple |
| 2.163.abs_bet |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 799 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26232, 4329516, 705918324, 115063635040, 18755365271214, 3057125117133312, 498311412254357796, 81224760510823322388, 13239635966878278506632]$ |
$20153$ |
$[20153, 696991505, 18750032701988, 498316045500751625, 13239638037633233537073, 351763807232181126348139280, 9346014361142046131566951283369, 248314264611329347518462135381847625, 6597461721911244164043119996177194363652, 175287960537308909461962135815904512255153025]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.6491408.1 |
$D_{4}$ |
simple |
| 2.163.abs_beu |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 800 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26234, 4329648, 705922870, 115063745040, 18755367361418, 3057125150181096, 498311412708741214, 81224760516570400824, 13239635966951191063514]$ |
$20154$ |
$[20154, 697046244, 18750605251914, 498319254842977296, 13239650694675594215514, 351763846434730614714341796, 9346014462173258990602600942314, 248314264837753790602568041152528384, 6597461722378049233674707942468928393786, 175287960538274245172496395495092430197553124]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.8966400.1 |
$D_{4}$ |
simple |
| 2.163.abs_bev |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )( 1 - 19 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26236, 4329780, 705927412, 115063854600, 18755369426374, 3057125182221720, 498311413131803428, 81224760521510597580, 13239635967006227806636]$ |
$20155$ |
$[20155, 697100985, 18751177806640, 498322461366498825, 13239663301093020866275, 351763885163745822325259520, 9346014560125457979843103457035, 248314265048570520303390913653335625, 6597461722779315532077291816161722454320, 175287960539002911616232604806683739363272425]$ |
$40$ |
$40$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-291}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.at |
| 2.163.abs_bew |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 802 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26238, 4329912, 705931950, 115063963720, 18755371466094, 3057125213257032, 498311413523691870, 81224760525652025112, 13239635967043734342238]$ |
$20156$ |
$[20156, 697155728, 18751750366172, 498325665071335424, 13239675856885541673276, 351763923419451839435862416, 9346014655004292683495701109468, 248314265243853003677588645263474688, 6597461723115701991549958461823964276156, 175287960539499484493977236503820760258297488]$ |
$28$ |
$28$ |
$2$ |
$2$ |
$1$ |
4.0.161792.1 |
$D_{4}$ |
simple |
| 2.163.abs_bex |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 803 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26240, 4330044, 705936484, 115064072400, 18755373480590, 3057125243288880, 498311413884553924, 81224760529002786372, 13239635967064055307200]$ |
$20157$ |
$[20157, 697210473, 18752322930516, 498328865957506329, 13239688362053184916557, 351763961202073756482829200, 9346014746815412685986411240373, 248314265423674683863061078771340329, 6597461723387866772431797494276617886004, 175287960539768526672563310304678046306228553]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.9697296.3 |
$D_{4}$ |
simple |
| 2.163.abs_bey |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 804 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26242, 4330176, 705941014, 115064180640, 18755375469874, 3057125272319112, 498311414214536926, 81224760531570974808, 13239635967067534369282]$ |
$20158$ |
$[20158, 697265220, 18752895499678, 498332064025030800, 13239700816595978972398, 351763998511836664085124420, 9346014835564467571961357708974, 248314265588108980078951986647961600, 6597461723596467263101903439924705975902, 175287960539814588188027907326529411168356100]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.8425728.1 |
$D_{4}$ |
simple |
| 2.163.abs_bez |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 805 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26244, 4330308, 705945540, 115064288440, 18755377433958, 3057125300349576, 498311414513788164, 81224760533364674364, 13239635967054514227364]$ |
$20159$ |
$[20159, 697319969, 18753468073664, 498335259273928121, 13239713220513952313439, 351764035348965653044576256, 9346014921257106926288106394679, 248314265737229287625651061316740329, 6597461723742160079979377897507574286016, 175287960539642206248789684544930545089716449]$ |
$30$ |
$30$ |
$2$ |
$2$ |
$1$ |
4.0.422225.1 |
$D_{4}$ |
simple |
| 2.163.abs_bfa |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 24 x + 163 x^{2} )( 1 - 20 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26246, 4330440, 705950062, 115064395800, 18755379372854, 3057125327382120, 498311414782454878, 81224760534391959480, 13239635967025336611686]$ |
$20160$ |
$[20160, 697374720, 18754040652480, 498338451704217600, 13239725573807133508800, 351764071713685814346455040, 9346015003898980334057004745920, 248314265871108977884795916451840000, 6597461723825601067523331718369267266240, 175287960539255905238826389278224271165593600]$ |
$90$ |
$90$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.163.ay $\times$ 1.163.au |
| 2.163.abs_bfb |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 807 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26248, 4330572, 705954580, 115064502720, 18755381286574, 3057125353418592, 498311415020684260, 81224760534660895092, 13239635966980342284088]$ |
$20161$ |
$[20161, 697429473, 18754613236132, 498341641315918569, 13239737876475551224201, 351764107606222239160052496, 9346015083495737380582525381153, 248314265989821398319274099337622153, 6597461723847445298232887206350635674756, 175287960538660196720852373697576524415955313]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.3084048.5 |
$D_{4}$ |
simple |
| 2.163.abs_bfc |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 808 x^{2} - 7172 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26250, 4330704, 705959094, 115064609200, 18755383175130, 3057125378460840, 498311415228623454, 81224760534179536632, 13239635966919871038250]$ |
$20162$ |
$[20162, 697484228, 18755185824626, 498344828109050384, 13239750128519234222082, 351764143026800018839261700, 9346015160053027651404613747058, 248314266093439872473225114321567744, 6597461723808347072647180337405088527234, 175287960537859579439496109362752171464073028]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.1515776.1 |
$D_{4}$ |
simple |
| 2.163.abs_bfd |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 23 x + 163 x^{2} )( 1 - 21 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$120$ |
$[120, 26252, 4330836, 705963604, 115064715240, 18755385038534, 3057125402510712, 498311415406419556, 81224760532955930028, 13239635966844261699932]$ |
$20163$ |
$[20163, 697538985, 18755758417968, 498348012083632425, 13239762329938211361723, 351764177975644244923157760, 9346015233576500732290039838979, 248314266182037699972042457393161225, 6597461723708959919345362999040193928752, 175287960536858539324477701783840826443706425]$ |
$18$ |
$18$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \), \(\Q(\sqrt{-211}) \) |
$C_2$, $C_2$ |
1.163.ax $\times$ 1.163.av |
| 2.163.abs_bfe |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 22 x + 163 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$120$ |
$[120, 26254, 4330968, 705968110, 115064820840, 18755386876798, 3057125425570056, 498311415554219614, 81224760530998111704, 13239635966753852127214]$ |
$20164$ |
$[20164, 697593744, 18756331016164, 498351193239684096, 13239774480732511599364, 351764212452980009136579216, 9346015304071806209233753988644, 248314266255688156522375661921255424, 6597461723549936594946605249687625801796, 175287960535661549493786405009143859510363024]$ |
$32$ |
$32$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-42}) \) |
$C_2$ |
1.163.aw 2 |
| 2.163.abr_bds |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 772 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26265, 4329802, 705911433, 115063337931, 18755359303170, 3057125037700897, 498311411551609233, 81224760507406380046, 13239635966863229242825]$ |
$20290$ |
$[20290, 697854260, 18751268000440, 498311180689949600, 13239603851228302684750, 351763695299335694989288640, 9346014118307211732706004205790, 248314264261141718132981620834601600, 6597461721633703840598094361800562988440, 175287960537109662687564594846850091671216500]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.236600.1 |
$D_{4}$ |
simple |
| 2.163.abr_bdt |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 773 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26267, 4329931, 705915739, 115063438336, 18755361143399, 3057125066250145, 498311411956337251, 81224760513175135303, 13239635966952406107782]$ |
$20291$ |
$[20291, 697908945, 18751827473333, 498314220556214925, 13239615404212376661296, 351763729813505754321128145, 9346014205585835766048898284977, 248314264462822308637197680052556725, 6597461722102269604879099422419500554287, 175287960538290331916284594414524812309241600]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.8383413.1 |
$D_{4}$ |
simple |
| 2.163.abr_bdu |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 774 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26269, 4330060, 705920041, 115063538311, 18755362959622, 3057125093871109, 498311412333141649, 81224760518247734836, 13239635967026583175309]$ |
$20292$ |
$[20292, 697963632, 18752386950864, 498317257603379904, 13239626907721710336972, 351763763877435395334336768, 9346014290026579591660408387548, 248314264650588240593719661136268032, 6597461722514290287178463869579678891728, 175287960539272409287448688902285197849362672]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.3616137.2 |
$D_{4}$ |
simple |
| 2.163.abr_bdv |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 775 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26271, 4330189, 705924339, 115063637856, 18755364751851, 3057125120565595, 498311412682162803, 81224760522631684123, 13239635967086070499846]$ |
$20293$ |
$[20293, 698018321, 18752946433039, 498320291831463101, 13239638361756329771248, 351763797491349705006361817, 9346014371634964391281386721339, 248314264824509464971621049581816053, 6597461722870375518151378133417817560233, 175287960540059999808972877133718159794716416]$ |
$33$ |
$33$ |
$2$ |
$2$ |
$1$ |
4.0.18688277.1 |
$D_{4}$ |
simple |
| 2.163.abr_bdw |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 163 x^{2} )( 1 - 18 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26273, 4330318, 705928633, 115063736971, 18755366520098, 3057125146335409, 498311413003541041, 81224760526334479354, 13239635967131177212193]$ |
$20294$ |
$[20294, 698073012, 18753505919864, 498323323240483104, 13239649766316261116474, 351763830655473770483092416, 9346014450416511346845463886762, 248314264984655908821184568129308800, 6597461723171134174037553863939687982296, 175287960540657196260115840290226984583849652]$ |
$16$ |
$16$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-82}) \) |
$C_2$, $C_2$ |
1.163.az $\times$ 1.163.as |
| 2.163.abr_bdx |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 777 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26275, 4330447, 705932923, 115063835656, 18755368264375, 3057125171182357, 498311413297416643, 81224760529363607431, 13239635967162211519750]$ |
$20295$ |
$[20295, 698127705, 18754065411345, 498326351830458525, 13239661121401530618000, 351763863370032679079417145, 9346014526376741640480285017445, 248314265131097475273903930044997525, 6597461723417174376661225725449764048395, 175287960541068079194656455956363662704992000]$ |
$56$ |
$56$ |
$2$ |
$2$ |
$1$ |
4.0.276525.1 |
$D_{4}$ |
simple |
| 2.163.abr_bdy |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 778 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26277, 4330576, 705937209, 115063933911, 18755369984694, 3057125195108245, 498311413563929841, 81224760531726545968, 13239635967179480706757]$ |
$20296$ |
$[20296, 698182400, 18754624907488, 498329377601408000, 13239672427012164614296, 351763895635251518279782400, 9346014599521176454508749826872, 248314265263904043542485602622976000, 6597461723609103493431153208241146815712, 175287960541296716944071312186371191860192000]$ |
$48$ |
$48$ |
$2$ |
$2$ |
$1$ |
4.0.5575877.1 |
$D_{4}$ |
simple |
| 2.163.abr_bdz |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 779 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26279, 4330705, 705941491, 115064031736, 18755371681067, 3057125218114879, 498311413803220819, 81224760533430763291, 13239635967183291134534]$ |
$20297$ |
$[20297, 698237097, 18755184408299, 498332400553350189, 13239683683148189537072, 351763927451355375738751473, 9346014669855336971450256566063, 248314265383145468920850580937731477, 6597461723747528137340622457640005383653, 175287960541347165620712221592120331290876672]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.21188013.2 |
$D_{4}$ |
simple |
| 2.163.abr_bea |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 780 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26281, 4330834, 705945769, 115064129131, 18755373353506, 3057125240204065, 498311414015429713, 81224760534483718438, 13239635967173948241721]$ |
$20298$ |
$[20298, 698291796, 18755743913784, 498335420686303776, 13239694889809631911398, 351763958818569339281564352, 9346014737384744374021949897334, 248314265488891582784136171878855808, 6597461723833054166967448120499057624088, 175287960541223469120983735452626244733879316]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.19262232.1 |
$D_{4}$ |
simple |
| 2.163.abr_beb |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 781 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26283, 4330963, 705950043, 115064226096, 18755375002023, 3057125261377609, 498311414200696611, 81224760534892861159, 13239635967151756544518]$ |
$20299$ |
$[20299, 698346497, 18756303423949, 498338438000287469, 13239706046996518355824, 351763989737118496904698241, 9346014802114919845139972689177, 248314265581212192588697788499265525, 6597461723866286686473975209234896401991, 175287960540929659128520657845331432652228352]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.16736741.1 |
$D_{4}$ |
simple |
| 2.163.abr_bec |
$2$ |
$\F_{163}$ |
$163$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 24 x + 163 x^{2} )( 1 - 19 x + 163 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26285, 4331092, 705954313, 115064322631, 18755376626630, 3057125281637317, 498311414359161553, 81224760534665631916, 13239635967117019636925]$ |
$20300$ |
$[20300, 698401200, 18756862938800, 498341452495320000, 13239717154708875582500, 351764020207227936776428800, 9346014864051384567920721737300, 248314265660177081872110754708320000, 6597461723847830045607080983504249242800, 175287960540469755117365559799342320381630000]$ |
$32$ |
$32$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-291}) \) |
$C_2$, $C_2$ |
1.163.ay $\times$ 1.163.at |
| 2.163.abr_bed |
$2$ |
$\F_{163}$ |
$163$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 783 x^{2} - 7009 x^{3} + 26569 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$121$ |
$[121, 26287, 4331221, 705958579, 115064418736, 18755378227339, 3057125300984995, 498311414490964531, 81224760533809461883, 13239635967070040190982]$ |
$20301$ |
$[20301, 698455905, 18757422458343, 498344464171420125, 13239728212946730397296, 351764050229122747237392105, 9346014923199659725682107416867, 248314265725856010253172120341267125, 6597461723778287839698176849614542086337, 175287960539847764355146293470807837655238400]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.10730853.1 |
$D_{4}$ |
simple |
