| 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 |
| 3.11.as_fl_axo |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )^{3}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$1$ |
$2$ |
$-6$ |
$[-6, 80, 1278, 14780, 162474, 1778576, 19513614, 214440380, 2358145818, 25937716880]$ |
$216$ |
$[216, 1259712, 2268747144, 3168750108672, 4214318118039576, 5581968754419000000, 7410296971998791645256, 9853478099381345260142592, 13111095803211447966488930904, 17449598901666272811693707765952]$ |
$None$ |
$0$ |
$14$ |
$8$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
1.11.ag 3 |
| 3.11.ar_ey_avc |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 11 x + 51 x^{2} - 121 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-5$ |
$[-5, 89, 1303, 14689, 161130, 1770461, 19479805, 214335409, 2357913733, 25937462824]$ |
$246$ |
$[246, 1350540, 2306399814, 3148346435040, 4179274751901216, 5556461382098239500, 7397451961997088144126, 9848654078179185243296640, 13109805387201623446083283614, 17449427983357018525876560000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.ag $\times$ 2.11.al_bz |
| 3.11.ar_ez_avi |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 6 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-5$ |
$[-5, 91, 1336, 14967, 162725, 1777300, 19502135, 214388207, 2357984056, 25937415931]$ |
$252$ |
$[252, 1388016, 2368889712, 3209092992000, 4220866870857252, 5577953538155040000, 7405933879055373747372, 9851080156429017397248000, 13110196369485198477966674832, 17449396436707045459740886653936]$ |
$None$ |
$0$ |
$16$ |
$8$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-19}) \) |
$C_2$, $C_2$ |
1.11.ag 2 $\times$ 1.11.af |
| 3.11.aq_em_asw |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 10 x + 45 x^{2} - 110 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-4$ |
$[-4, 98, 1334, 14722, 161076, 1771280, 19491356, 214404034, 2358168194, 25938064978]$ |
$282$ |
$[282, 1456812, 2361378888, 3155955935328, 4177922312632602, 5559031135945425600, 7401838896556089732462, 9851807652998016288240000, 13111220218893013578817121688, 17449833087139019509072187916012]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-11 +4 \sqrt{2}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ak_bt |
| 3.11.aq_en_atd |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 11 x + 51 x^{2} - 121 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-4$ |
$[-4, 100, 1361, 14876, 161381, 1769185, 19468326, 214283236, 2357751971, 25937161875]$ |
$287$ |
$[287, 1488095, 2408204372, 3188429549375, 4185769049802032, 5552464513772202320, 7393096432039702835437, 9846257309200912727019375, 13108906041999147831913733012, 17449225520380929509044580000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.af $\times$ 2.11.al_bz |
| 3.11.aq_en_atc |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 4 x + 11 x^{2} )( 1 - 6 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-4$ |
$[-4, 100, 1364, 14940, 162076, 1774276, 19496116, 214400060, 2358122684, 25937935780]$ |
$288$ |
$[288, 1492992, 2417234400, 3203268083712, 4203934039866528, 5568437853216000000, 7403646096458768439648, 9851624936637438269325312, 13110967172879088971994093600, 17449746167746488620161164183552]$ |
$None$ |
$0$ |
$16$ |
$8$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.11.ag 2 $\times$ 1.11.ae |
| 3.11.aq_eo_ati |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 5 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-4$ |
$[-4, 102, 1394, 15154, 162976, 1776024, 19490656, 214336034, 2357822294, 25937114982]$ |
$294$ |
$[294, 1529388, 2473452576, 3249949500000, 4227425799974454, 5573941210112486400, 7401573355048140841314, 9848682797040213462000000, 13109296997460963836814159456, 17449193974096987274709084680748]$ |
$None$ |
$0$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-19}) \) |
$C_2$, $C_2$ |
1.11.ag $\times$ 1.11.af 2 |
| 3.11.ap_dz_aqk |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 9 x + 38 x^{2} - 99 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-3$ |
$[-3, 103, 1314, 14471, 160167, 1770520, 19495725, 214403855, 2358013734, 25937228503]$ |
$312$ |
$[312, 1505088, 2325611808, 3102311467008, 4154340757959912, 5556647549495577600, 7403498659859443910808, 9851799344685116613230592, 13110361394916624828365551968, 17449270344778098774861829700928]$ |
$None$ |
$0$ |
$8$ |
$12$ |
$6$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-3}, \sqrt{17})\) |
$C_2$, $C_2^2$ |
1.11.ag $\times$ 2.11.aj_bm |
| 3.11.ap_ea_aqq |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 9 x + 39 x^{2} - 99 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-3$ |
$[-3, 105, 1341, 14641, 160842, 1772613, 19503159, 214438769, 2358163827, 25937682600]$ |
$318$ |
$[318, 1539756, 2374722558, 3138798765024, 4171825565612448, 5563216585745102700, 7406323568281759240038, 9853404054619142247744384, 13111195936794203960314102422, 17449575838115732438710086890496]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-82 +18 \sqrt{13}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.aj_bn |
| 3.11.ap_eb_aqx |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 15 x + 105 x^{2} - 439 x^{3} + 1155 x^{4} - 1815 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-3$ |
$[-3, 107, 1365, 14747, 160827, 1769735, 19484112, 214364627, 2357959641, 25937219327]$ |
$323$ |
$[323, 1570103, 2415897557, 3161058537943, 4171399934792653, 5554184265401716727, 7399088933596202473408, 9849996737971517154033063, 13110060625941766333124234375, 17449264171265659608094307485703]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.4612383.1 |
$A_4\times C_2$ |
simple |
| 3.11.ap_eb_aqw |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 3 x + 11 x^{2} )( 1 - 6 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-3$ |
$[-3, 107, 1368, 14807, 161427, 1773716, 19503537, 214437167, 2358165528, 25937613227]$ |
$324$ |
$[324, 1574640, 2424140784, 3174575016960, 4187001208875804, 5566675689338400000, 7406466770100471046164, 9853330425475190171811840, 13111205395320499396483451664, 17449529168587183687915374006000]$ |
$None$ |
$0$ |
$16$ |
$8$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-35}) \) |
$C_2$, $C_2$ |
1.11.ag 2 $\times$ 1.11.ad |
| 3.11.ap_ec_are |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 4 x + 11 x^{2} )( 1 - 11 x + 51 x^{2} - 121 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-3$ |
$[-3, 109, 1389, 14849, 160732, 1766161, 19462307, 214295089, 2357890599, 25937681724]$ |
$328$ |
$[328, 1600640, 2457351400, 3182642147840, 4168977020568448, 5542992311720528000, 7390812615085830357608, 9846801822698305327319040, 13109676769529277216077482600, 17449575247994767399554560000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.ae $\times$ 2.11.al_bz |
| 3.11.ap_ec_ard |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 10 x + 45 x^{2} - 110 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-3$ |
$[-3, 109, 1392, 14909, 161327, 1770004, 19479877, 214351861, 2358006432, 25937764029]$ |
$329$ |
$[329, 1605191, 2465610224, 3196135929875, 4184414508938279, 5555032419146583296, 7397480783624865461269, 9849410116565608776796875, 13110320776631729204269650704, 17449630619462574846939784318391]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-11 +4 \sqrt{2}})\) |
$C_2$, $D_{4}$ |
1.11.af $\times$ 2.11.ak_bt |
| 3.11.ap_ec_arc |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 9 x + 41 x^{2} - 99 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-3$ |
$[-3, 109, 1395, 14969, 161922, 1773841, 19497237, 214404929, 2358078615, 25937462824]$ |
$330$ |
$[330, 1609740, 2473874370, 3209654147040, 4199877907500000, 5567066737264939500, 7404072869192276970330, 9851848788229557789651840, 13110722132111459976464687970, 17449427983357018525876560000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.ag $\times$ 2.11.aj_bp |
| 3.11.ap_ed_ari |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 5 x + 11 x^{2} )( 1 - 4 x + 11 x^{2} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-3$ |
$[-3, 111, 1422, 15127, 162327, 1773000, 19484637, 214347887, 2357960922, 25937634831]$ |
$336$ |
$[336, 1645056, 2523931200, 3244050432000, 4210466656559856, 5564432369986560000, 7399286919470169340176, 9849227444670893948928000, 13110067747977003449539588800, 17449543701078556036959822260736]$ |
$None$ |
$0$ |
$8$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$, $C_2$ |
1.11.ag $\times$ 1.11.af $\times$ 1.11.ae |
| 3.11.ap_ee_arn |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )^{3}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$1$ |
$2$ |
$-3$ |
$[-3, 113, 1452, 15341, 163227, 1774748, 19479177, 214283861, 2357660532, 25936814033]$ |
$343$ |
$[343, 1685159, 2582630848, 3291326171875, 4233994921204433, 5569931768213786624, 7397215398464534471843, 9846286021072917404296875, 13108397687134511225731882048, 17448991513836070999556906276039]$ |
$None$ |
$0$ |
$10$ |
$6$ |
$1$ |
\(\Q(\sqrt{-19}) \) |
$C_2$ |
1.11.af 3 |
| 3.11.ao_dn_aoe |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 8 x + 32 x^{2} - 88 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-2$ |
$[-2, 108, 1306, 14404, 160478, 1773900, 19505498, 214404284, 2357982046, 25937522028]$ |
$348$ |
$[348, 1566000, 2313872532, 3088152000000, 4162394387139708, 5567264082211950000, 7407212135589790254708, 9851819147328356352000000, 13110185198708392499889484572, 17449467812891781988407357150000]$ |
$None$ |
$0$ |
$12$ |
$24$ |
$4$ |
\(\Q(\sqrt{-2}) \), \(\Q(i, \sqrt{6})\) |
$C_2$, $C_2^2$ |
1.11.ag $\times$ 2.11.ai_bg |
| 3.11.ao_do_aol |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 14 x + 92 x^{2} - 375 x^{3} + 1012 x^{4} - 1694 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 110, 1327, 14474, 160358, 1771841, 19495292, 214364162, 2357803588, 25936732010]$ |
$353$ |
$[353, 1595207, 2349243593, 3102660067723, 4159230790999603, 5560792831378351367, 7403333932962076457113, 9849975362083673459044947, 13109193017918985425051840192, 17448936333570654521812839442367]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.31633587.1 |
$S_4\times C_2$ |
simple |
| 3.11.ao_do_aok |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
|
✓ |
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 8 x + 33 x^{2} - 88 x^{3} + 121 x^{4} )$ |
$[0,0,\frac{1}{2},\frac{1}{2},1,1]$ |
$1$ |
$2$ |
$1$ |
$3$ |
$0$ |
$-2$ |
$[-2, 110, 1330, 14530, 160878, 1775096, 19511098, 214429570, 2358046870, 25937536030]$ |
$354$ |
$[354, 1599372, 2356790400, 3115026472032, 4172746362504834, 5571022627031040000, 7409340673826909977254, 9852981256302341998891392, 13110545620169884270099670400, 17449477231839224547059495903052]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-58 +2 \sqrt{5}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ai_bh |
| 3.11.ao_dp_aor |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 14 x + 93 x^{2} - 381 x^{3} + 1023 x^{4} - 1694 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 112, 1351, 14596, 160683, 1772413, 19498134, 214385172, 2357894791, 25936981107]$ |
$359$ |
$[359, 1628783, 2392406156, 3128776499407, 4167652624327664, 5562592194686635472, 7404414418494749999401, 9850940839839779776909423, 13109700078781101300038026556, 17449103909118474912829997796608]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.62037703.1 |
$S_4\times C_2$ |
simple |
| 3.11.ao_dp_aoq |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 2 x + 11 x^{2} )( 1 - 6 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-2$ |
$[-2, 112, 1354, 14652, 161198, 1775536, 19512218, 214435772, 2358043294, 25937298352]$ |
$360$ |
$[360, 1632960, 2399968440, 3141135728640, 4181026450329000, 5572402721940600000, 7409766361514515019640, 9853266309353470175477760, 13110525746317059899073494760, 17449317334841144616690201144000]$ |
$None$ |
$0$ |
$16$ |
$8$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-10}) \) |
$C_2$, $C_2$ |
1.11.ag 2 $\times$ 1.11.ac |
| 3.11.ao_dq_aoy |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 9 x + 38 x^{2} - 99 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-2$ |
$[-2, 114, 1372, 14658, 160418, 1769244, 19484246, 214351682, 2357851972, 25936927554]$ |
$364$ |
$[364, 1658384, 2428264384, 3141808488000, 4160796310194524, 5552650547255791616, 7399139569679725554596, 9849401810274620569248000, 13109462011571487576054074944, 17449067883631065464897552341904]$ |
$None$ |
$0$ |
$8$ |
$12$ |
$6$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3}, \sqrt{17})\) |
$C_2$, $C_2^2$ |
1.11.af $\times$ 2.11.aj_bm |
| 3.11.ao_dq_aox |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 14 x + 94 x^{2} - 387 x^{3} + 1034 x^{4} - 1694 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 114, 1375, 14714, 160928, 1772241, 19496818, 214391154, 2357948500, 25937127374]$ |
$365$ |
$[365, 1662575, 2435836625, 3154139198075, 4174009280277875, 5562052815248264375, 7403914687828017042685, 9851215672838615019917075, 13109998683927496431864536000, 17449202308396969907023369109375]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.59264075.1 |
$A_4\times C_2$ |
simple |
| 3.11.ao_dq_aow |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 8 x + 35 x^{2} - 88 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 114, 1378, 14770, 161438, 1775232, 19509194, 214427426, 2358010342, 25937047794]$ |
$366$ |
$[366, 1666764, 2443414536, 3166491578976, 4187241531619806, 5571444015329860800, 7408617037465455461274, 9852882714726166846710144, 13110342536472274829531393496, 17449148773472555112920303024844]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-25 +8 \sqrt{3}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ai_bj |
| 3.11.ao_dr_apf |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 3 x + 11 x^{2} )( 1 - 11 x + 51 x^{2} - 121 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 116, 1393, 14716, 160083, 1765601, 19469728, 214332196, 2357933443, 25937359171]$ |
$369$ |
$[369, 1688175, 2464372404, 3154133836575, 4152184991334864, 5541238200229477200, 7393628399371374078819, 9848506476570552624992175, 13109914968524435938233985524, 17449358250960962865742500000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-35}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.ad $\times$ 2.11.al_bz |
| 3.11.ao_dr_ape |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 14 x + 95 x^{2} - 394 x^{3} + 1045 x^{4} - 1694 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 116, 1396, 14772, 160588, 1768472, 19480802, 214360988, 2357984782, 25937504016]$ |
$370$ |
$[370, 1692380, 2471954830, 3166436210480, 4165236927379250, 5550232090389737180, 7397832084685859743870, 9849829411460709265191680, 13110200414225233105162398730, 17449455696236035073865632889500]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.34608320.1 |
$S_4\times C_2$ |
simple |
| 3.11.ao_dr_apd |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 9 x + 39 x^{2} - 99 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 116, 1399, 14828, 161093, 1771337, 19491680, 214386596, 2358002065, 25937381651]$ |
$371$ |
$[371, 1696583, 2479542884, 3178760323375, 4178308288003696, 5559214858272634832, 7401962814830238177481, 9851006129686351637655375, 13110296496198694814725288676, 17449373373424107846345549955328]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-82 +18 \sqrt{13}})\) |
$C_2$, $D_{4}$ |
1.11.af $\times$ 2.11.aj_bn |
| 3.11.ao_dr_apc |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 8 x + 36 x^{2} - 88 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 116, 1402, 14884, 161598, 1774196, 19502362, 214409020, 2357985310, 25936992916]$ |
$372$ |
$[372, 1700784, 2487136572, 3191106184704, 4191399146410932, 5568186683287825200, 7406020776080204590908, 9852036735821877591146496, 13110203349394585193168206452, 17449111854549923398582228930224]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-26 +8 \sqrt{2}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ai_bk |
| 3.11.ao_ds_apk |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 4 x + 11 x^{2} )( 1 - 10 x + 45 x^{2} - 110 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 118, 1420, 14882, 160678, 1766980, 19473858, 214363714, 2358145060, 25938283878]$ |
$376$ |
$[376, 1726592, 2515928800, 3190334540288, 4167627913709656, 5545555836388198400, 7395195612291732009896, 9849954804418201616640000, 13111091587340037275848679200, 17449980355195646168542008874112]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-11 +4 \sqrt{2}})\) |
$C_2$, $D_{4}$ |
1.11.ae $\times$ 2.11.ak_bt |
| 3.11.ao_ds_apj |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 14 x + 96 x^{2} - 399 x^{3} + 1056 x^{4} - 1694 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 118, 1423, 14938, 161178, 1769713, 19483056, 214375938, 2358091108, 25937924778]$ |
$377$ |
$[377, 1730807, 2523532817, 3202652387467, 4180557855040307, 5554119060208014647, 7398687153153882015625, 9850516361083237324765267, 13110791588866530003071162432, 17449738766075509910920927334207]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.9380707.1 |
$A_4\times C_2$ |
simple |
| 3.11.ao_ds_api |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 5 x + 11 x^{2} )( 1 - 3 x + 11 x^{2} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 118, 1426, 14994, 161678, 1772440, 19492058, 214384994, 2358003766, 25937312278]$ |
$378$ |
$[378, 1735020, 2531142432, 3214992060000, 4193507513145258, 5562671473666944000, 7402105932333456681918, 9850932518460791934960000, 13110305954076126290290434912, 17449326704437058315563297195500]$ |
$None$ |
$0$ |
$8$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-35}) \) |
$C_2$, $C_2$, $C_2$ |
1.11.ag $\times$ 1.11.af $\times$ 1.11.ad |
| 3.11.ao_dt_apo |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 4 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-2$ |
$[-2, 120, 1450, 15100, 161678, 1769976, 19478618, 214359740, 2358099550, 25938154680]$ |
$384$ |
$[384, 1769472, 2575440000, 3238162071552, 4193575548057984, 5554939751424000000, 7397001190199816697984, 9849772122421444038623232, 13110838543808696379936240000, 17449893435069558118523922481152]$ |
$None$ |
$0$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.11.ag $\times$ 1.11.ae 2 |
| 3.11.ao_dt_apn |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 9 x + 41 x^{2} - 99 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-2$ |
$[-2, 120, 1453, 15156, 162173, 1772565, 19485758, 214352756, 2357916853, 25937161875]$ |
$385$ |
$[385, 1773695, 2583071260, 3250517799375, 4206404221250000, 5563062240305274320, 7399713440925070677335, 9849451241786478150819375, 13109822724019405745033009260, 17449225520380929509044580000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.af $\times$ 2.11.aj_bp |
| 3.11.ao_du_aps |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 4 x + 11 x^{2} )( 1 - 5 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-2$ |
$[-2, 122, 1480, 15314, 162578, 1771724, 19473158, 214295714, 2357799160, 25937333882]$ |
$392$ |
$[392, 1812608, 2635337600, 3285352000000, 4217009424478312, 5560429767977369600, 7394930309112088549912, 9846830536158121632000000, 13109168384776327428357430400, 17449341236759812446518301035648]$ |
$None$ |
$0$ |
$12$ |
$6$ |
$1$ |
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.11.af 2 $\times$ 1.11.ae |
| 3.11.an_cy_alf |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 76 x^{2} - 291 x^{3} + 836 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 105, 1226, 14117, 160339, 1773096, 19487705, 214336533, 2357974370, 25937919845]$ |
$367$ |
$[367, 1512407, 2178396028, 3027725383475, 4158835374916837, 5564732250376667888, 7400452781633010860183, 9848705743351045280314475, 13110142522400296216941219508, 17449735445916943529157064457567]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.2343728.1 |
$S_4\times C_2$ |
simple |
| 3.11.an_da_als |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 7 x + 25 x^{2} - 77 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 109, 1265, 14265, 160714, 1774897, 19496623, 214354241, 2357950181, 25937800744]$ |
$378$ |
$[378, 1571724, 2244302802, 3058612625376, 4168520769496608, 5570391311448648300, 7403839930515044019402, 9849519412573842587988864, 13110008037839783389644043698, 17449655321335045828037617234944]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-25 +2 \sqrt{37}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ah_z |
| 3.11.an_db_aly |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 7 x + 26 x^{2} - 77 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 111, 1286, 14359, 161029, 1776456, 19504855, 214383215, 2358020258, 25938014991]$ |
$384$ |
$[384, 1603584, 2281019904, 3078522077184, 4176699208201344, 5575298046411571200, 7406968087636782820224, 9850850807949927939833856, 13110397656412088165171129856, 17449799457834088098969972455424]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-13 +2 \sqrt{33}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ah_ba |
| 3.11.an_dc_amf |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 80 x^{2} - 317 x^{3} + 880 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 113, 1304, 14397, 160829, 1774844, 19497799, 214347317, 2357835704, 25937349873]$ |
$389$ |
$[389, 1631855, 2310964976, 3086263719155, 4171462217405179, 5570225925550488320, 7404286854219691858769, 9849201386810600120640395, 13109371568696073102909347216, 17449351996087422238032233201375]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.16537520.2 |
$S_4\times C_2$ |
simple |
| 3.11.an_dc_ame |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 7 x + 27 x^{2} - 77 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 113, 1307, 14449, 161274, 1777445, 19510049, 214398289, 2358023177, 25937911528]$ |
$390$ |
$[390, 1635660, 2317941990, 3097612908000, 4183049482716000, 5578410303754879500, 7408941997991615729310, 9851543525232829029168000, 13110413880450992321633581710, 17449729852153104431626656384000]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-98 -14 \sqrt{29}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ah_bb |
| 3.11.an_dd_amm |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 81 x^{2} - 324 x^{3} + 891 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 115, 1322, 14431, 160569, 1772908, 19490631, 214319919, 2357708858, 25936918275]$ |
$394$ |
$[394, 1660316, 2341108600, 3093241761904, 4164698578969294, 5564142906912161600, 7401563657852631349154, 9847942574399766457621504, 13108666354797185943780898600, 17449061641059486538116003479996]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.251429824.2 |
$S_4\times C_2$ |
simple |
| 3.11.an_dd_aml |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 81 x^{2} - 323 x^{3} + 891 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 115, 1325, 14483, 161009, 1775395, 19501656, 214362787, 2357860835, 25937386275]$ |
$395$ |
$[395, 1664135, 2348089745, 3104558667815, 4176130023943625, 5571961697896671935, 7405752543653767390720, 9849912225117183937385415, 13109511281148410851245991955, 17449376484479368605970901603375]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.343424015.1 |
$S_4\times C_2$ |
simple |
| 3.11.an_dd_amk |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - x + 11 x^{2} )( 1 - 6 x + 11 x^{2} )^{2}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-1$ |
$[-1, 115, 1328, 14535, 161449, 1777876, 19512499, 214402895, 2357984768, 25937637955]$ |
$396$ |
$[396, 1667952, 2355076944, 3115894459392, 4187575203146676, 5579766049572000000, 7409873167779616546716, 9851755237142869229617152, 13110200328368082527594077104, 17449545804474034197334210288752]$ |
$None$ |
$0$ |
$16$ |
$8$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-43}) \) |
$C_2$, $C_2$ |
1.11.ag 2 $\times$ 1.11.ab |
| 3.11.an_de_ams |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
|
$1 - 13 x + 82 x^{2} - 330 x^{3} + 902 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,\frac{1}{2},\frac{1}{2},1,1]$ |
$1$ |
$2$ |
$1$ |
$3$ |
$0$ |
$-1$ |
$[-1, 117, 1343, 14513, 160684, 1773033, 19493417, 214338321, 2357768117, 25937102972]$ |
$400$ |
$[400, 1692800, 2378443600, 3110750220800, 4167688334560000, 5564540830268700800, 7402622215673449240400, 9848788048888092229683200, 13108995802629252949856539600, 17449185894269004447078379520000]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.5910179.1 |
$S_4\times C_2$ |
simple |
| 3.11.an_de_amr |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 82 x^{2} - 329 x^{3} + 902 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 117, 1346, 14565, 161119, 1775400, 19503049, 214370741, 2357862458, 25937313657]$ |
$401$ |
$[401, 1696631, 2385435116, 3122053838019, 4178977468600411, 5571979389613552496, 7406281847411912937481, 9850277695137678031977099, 13109520296723840105533567364, 17449327630043840574870306343391]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.380456496.1 |
$S_4\times C_2$ |
simple |
| 3.11.an_de_amq |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 7 x + 29 x^{2} - 77 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 117, 1349, 14617, 161554, 1777761, 19512499, 214400417, 2357929349, 25937318952]$ |
$402$ |
$[402, 1700460, 2392432650, 3133376425440, 4190280502943712, 5579403547120087500, 7409873172991497980082, 9851641407925845940978560, 13109892206636867082884429850, 17449331194613322517763378304000]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-106 -14 \sqrt{21}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ah_bd |
| 3.11.an_df_amz |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 83 x^{2} - 337 x^{3} + 913 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 119, 1361, 14539, 160299, 1770371, 19485584, 214326979, 2357750261, 25937010799]$ |
$405$ |
$[405, 1721655, 2409010875, 3116197271655, 4157729688909375, 5556186788680110375, 7399646802705714626880, 9848266864767932173362855, 13108896537245525348720479125, 17449123886179266530194197159375]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.403627375.1 |
$S_4\times C_2$ |
simple |
| 3.11.an_df_amy |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 5 x + 11 x^{2} )( 1 - 8 x + 32 x^{2} - 88 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$2$ |
$1$ |
$-1$ |
$[-1, 119, 1364, 14591, 160729, 1772624, 19494019, 214352111, 2357820284, 25937221079]$ |
$406$ |
$[406, 1725500, 2416006936, 3127468750000, 4168862454145466, 5563259443298312000, 7402850858960619757646, 9849421608098688000000000, 13109285827450483843880118376, 17449265349453557126655824637500]$ |
$None$ |
$0$ |
$12$ |
$24$ |
$4$ |
\(\Q(\sqrt{-19}) \), \(\Q(i, \sqrt{6})\) |
$C_2$, $C_2^2$ |
1.11.af $\times$ 2.11.ai_bg |
| 3.11.an_df_amx |
$3$ |
$\F_{11}$ |
$11$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
|
$1 - 13 x + 83 x^{2} - 335 x^{3} + 913 x^{4} - 1573 x^{5} + 1331 x^{6}$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 119, 1367, 14643, 161159, 1774871, 19502272, 214374515, 2357863433, 25937236059]$ |
$407$ |
$[407, 1729343, 2423008973, 3138759274343, 4180009221724897, 5570317596937297127, 7405986445700293972928, 9850451069210305306846247, 13109525713904930607621113867, 17449275426000273468101886632543]$ |
$None$ |
$0$ |
$2$ |
$2$ |
$1$ |
6.0.409598903.1 |
$A_4\times C_2$ |
simple |
| 3.11.an_df_amw |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 6 x + 11 x^{2} )( 1 - 7 x + 30 x^{2} - 77 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 119, 1370, 14695, 161589, 1777112, 19510343, 214394191, 2357879726, 25937056519]$ |
$408$ |
$[408, 1733184, 2430016992, 3150068852736, 4191170058284808, 5577361391943244800, 7409053685774983111032, 9851355303391803069333504, 13109616311355365973025035168, 17449154643240059977423893985344]$ |
$None$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-94 +2 \sqrt{17}})\) |
$C_2$, $D_{4}$ |
1.11.ag $\times$ 2.11.ah_be |
| 3.11.an_dg_ang |
$3$ |
$\F_{11}$ |
$11$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 2 x + 11 x^{2} )( 1 - 11 x + 51 x^{2} - 121 x^{3} + 121 x^{4} )$ |
$[0,0,0,1,1,1]$ |
$0$ |
$3$ |
$0$ |
$3$ |
$0$ |
$-1$ |
$[-1, 121, 1379, 14561, 159854, 1767421, 19478409, 214330801, 2357811209, 25937044296]$ |
$410$ |
$[410, 1750700, 2439798890, 3120909864800, 4146259914764000, 5546939062575392300, 7396922271273113068690, 9848442391838513252899200, 13109235386413189760377623410, 17449146419289829121570000000000]$ |
$None$ |
$0$ |
$20$ |
$10$ |
$1$ |
\(\Q(\sqrt{-10}) \), \(\Q(\zeta_{5})\) |
$C_2$, $C_4$ |
1.11.ac $\times$ 2.11.al_bz |
