| 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 |
| 2.197.ace_bti |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 28 x + 197 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$142$ |
$[142, 38030, 7634566, 1505989518, 296707238942, 58451700484190, 11514990100037846, 2268453118878404638, 446885265350215725742, 88036397286438581327150]$ |
$28900$ |
$[28900, 1476096400, 58369141600900, 2268228772096000000, 88035791463215122022500, 3416602915908709907819155600, 132595001343515347751262025696900, 5145879564051540605861576380416000000, 199706440417402397023868444378830287484900, 7750407247254677965035749226974698611282010000]$ |
$0$ |
$0$ |
$16$ |
$12$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
1.197.abc 2 |
| 2.197.acd_bsg |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 28 x + 197 x^{2} )( 1 - 27 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$143$ |
$[143, 38085, 7636244, 1506029393, 296708059483, 58451715804330, 11514990365947519, 2268453123228328513, 446885265417814756148, 88036397287440687536925]$ |
$29070$ |
$[29070, 1478209500, 58381961470560, 2268288826398000000, 88036034924507367601350, 3416603811397157704665888000, 132595004405462649955998144918390, 5145879573919138998017286362808000000, 199706440447611407666560458336211641264480, 7750407247342899785443158068639512954423237500]$ |
$0$ |
$0$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-59}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.abb |
| 2.197.acc_bre |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 26 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$144$ |
$[144, 38138, 7637760, 1506062094, 296708645664, 58451724803306, 11514990483035568, 2268453124422340126, 446885265423978079920, 88036397287331982029018]$ |
$29240$ |
$[29240, 1480245760, 58393543665080, 2268338076196864000, 88036208849251834734200, 3416604337402732719063708160, 132595005753730397086678685296760, 5145879576627698368531338364059648000, 199706440450365706246058706527373489696440, 7750407247333329744161784535301878781272076800]$ |
$2$ |
$2$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.aba |
| 2.197.acc_brf |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 27 x + 197 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$144$ |
$[144, 38140, 7637922, 1506069268, 296708880024, 58451731124470, 11514990631857192, 2268453127578252388, 446885265485413786554, 88036397288442793746700]$ |
$29241$ |
$[29241, 1480325625, 58394784155904, 2268348882290015625, 88036278386472900712881, 3416604706885840208202240000, 132595007467410022868688459106809, 5145879583786737409094834063495015625, 199706440477820418313822101205424307568896, 7750407247431121605851571127159996913870015625]$ |
$12$ |
$12$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-59}) \) |
$C_2$ |
1.197.abb 2 |
| 2.197.acb_bqc |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 25 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$145$ |
$[145, 38189, 7639120, 1506088257, 296709033725, 58451728964906, 11514990500220905, 2268453123837570913, 446885265402964694080, 88036397286881951955989]$ |
$29410$ |
$[29410, 1482205180, 58403934024280, 2268377479349296000, 88036323990155860385050, 3416604580655387352203964160, 132595005951619385745730713106570, 5145879575301176821994857906718400000, 199706440440975133738332172175680177585240, 7750407247293710717861556534055755381773383900]$ |
$1$ |
$1$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-163}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.az |
| 2.197.acb_bqd |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 53 x + 1095 x^{2} - 10441 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$145$ |
$[145, 38191, 7639279, 1506095115, 296709250230, 58451734562887, 11514990625521703, 2268453126342444819, 446885265448541491873, 88036397287645810315686]$ |
$29411$ |
$[29411, 1482284989, 58405151455991, 2268387809378515541, 88036388229550573403536, 3416604907867157438227170541, 132595007394456907283847146506871, 5145879580983365864206008261571245989, 199706440461342733117655545487755836711059, 7750407247360958055887115718581239543296647424]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.90725.1 |
$D_{4}$ |
simple |
| 2.197.acb_bqe |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 27 x + 197 x^{2} )( 1 - 26 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$145$ |
$[145, 38193, 7639438, 1506101969, 296709466205, 58451740123446, 11514990748945241, 2268453128772264001, 446885265491577110326, 88036397288334088238793]$ |
$29412$ |
$[29412, 1482364800, 58406368894272, 2268398133392832000, 88036452311698353389652, 3416605232891553088172236800, 132595008815677801134213821283156, 5145879586495296784802745687162624000, 199706440480574716893736984107651606612288, 7750407247421551564570088659357852390655664000]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-7}) \) |
$C_2$, $C_2$ |
1.197.abb $\times$ 1.197.aba |
| 2.197.aca_bpa |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 24 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$146$ |
$[146, 38238, 7640330, 1506108494, 296709256786, 58451729557806, 11514990455939242, 2268453122446256926, 446885265375872771090, 88036397286486953083518]$ |
$29580$ |
$[29580, 1484087760, 58413178387980, 2268407957566464000, 88036390174197010785900, 3416604615311408817983678160, 132595005441716466343512194206380, 5145879572145046265318173448552448000, 199706440428868152543180879572961529374540, 7750407247258936440196827001258147055472526800]$ |
$12$ |
$12$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-53}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.ay |
| 2.197.aca_bpb |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 52 x + 1067 x^{2} - 10244 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$146$ |
$[146, 38240, 7640486, 1506115044, 296709456466, 58451734502750, 11514990561085738, 2268453124427693764, 446885265409643759822, 88036397287015566495200]$ |
$29581$ |
$[29581, 1484167513, 58414372764100, 2268417823589269369, 88036449421385648571421, 3416604904352003898329568400, 132595006652477379781216217784949, 5145879576639842851614175851431009769, 199706440443959909805837483904926232344100, 7750407247305473660518900721889374704858420153]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.542736.2 |
$D_{4}$ |
simple |
| 2.197.aca_bpc |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 52 x + 1068 x^{2} - 10244 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$146$ |
$[146, 38242, 7640642, 1506121590, 296709655626, 58451739411826, 11514990664482122, 2268453126341370270, 446885265441202786802, 88036397287481026910562]$ |
$29582$ |
$[29582, 1484247268, 58415567146622, 2268427683596610704, 88036508514293560900462, 3416605191296057622730018276, 132595007843085772854100145879006, 5145879580980928302201230340930080768, 199706440458063173954237401529709613269998, 7750407247346451118567172584959220852001105188]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.428288.1 |
$D_{4}$ |
simple |
| 2.197.aca_bpd |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 27 x + 197 x^{2} )( 1 - 25 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$146$ |
$[146, 38244, 7640798, 1506128132, 296709854266, 58451744285046, 11514990766130578, 2268453128187494788, 446885265470563724486, 88036397287884058165764]$ |
$29583$ |
$[29583, 1484327025, 58416761535552, 2268437537588513625, 88036567452920799001503, 3416605476144271477607116800, 132595009013566794363013191157767, 5145879585168775235722563668827715625, 199706440471184144384589965247627124650048, 7750407247381932538269409680180961133513312625]$ |
$9$ |
$9$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-163}) \) |
$C_2$, $C_2$ |
1.197.abb $\times$ 1.197.az |
| 2.197.aca_bpe |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 26 x + 197 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$146$ |
$[146, 38246, 7640954, 1506134670, 296710052386, 58451749122422, 11514990866033290, 2268453129966275614, 446885265497740434098, 88036397288225382730886]$ |
$29584$ |
$[29584, 1484406784, 58417955930896, 2268447385565003776, 88036626237267414231184, 3416605758897346949711282176, 132595010163945593109350402085904, 5145879589203856161936321042809094144, 199706440483329015473689853569797405963664, 7750407247411981523288618008443157186280833024]$ |
$20$ |
$20$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$C_2$ |
1.197.aba 2 |
| 2.197.abz_bny |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 23 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38285, 7641396, 1506123393, 296709344967, 58451727653930, 11514990379617291, 2268453120898444513, 446885265354275949012, 88036397286303355567925]$ |
$29750$ |
$[29750, 1485893500, 58421322596000, 2268430396414000000, 88036416338228072618750, 3416604504026592619328224000, 132595004562869941781571711284750, 5145879568633906365685458671544000000, 199706440419216850977401024141863827716000, 7750407247242773176373196146021156994436337500]$ |
$4$ |
$4$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-259}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.ax |
| 2.197.abz_bnz |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 51 x + 1039 x^{2} - 10047 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38287, 7641549, 1506129643, 296709528822, 58451732011447, 11514990467617077, 2268453122464263571, 446885265379442969043, 88036397286678061103782]$ |
$29751$ |
$[29751, 1485973197, 58422493920051, 2268439810487647029, 88036470889928945624976, 3416604758731037158134508701, 132595005576186643925911706672163, 5145879572185893498297391707373997925, 199706440430463621403048013163113482223799, 7750407247275760901793457552918962859968721152]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.1720341.2 |
$D_{4}$ |
simple |
| 2.197.abz_boa |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 51 x + 1040 x^{2} - 10047 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38289, 7641702, 1506135889, 296709712167, 58451736334614, 11514990553987515, 2268453123969026113, 446885265402689307246, 88036397287000142034729]$ |
$29752$ |
$[29752, 1486052896, 58423665250336, 2268449218545284736, 88036525290315355654552, 3416605011427669252054669312, 132595006570741421432715227401816, 5145879575599376787219351523215149568, 199706440440852067420434052287258298818592, 7750407247304115746588825456760671328894608416]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.488988.1 |
$D_{4}$ |
simple |
| 2.197.abz_bob |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 51 x + 1041 x^{2} - 10047 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38291, 7641855, 1506142131, 296709895002, 58451740623443, 11514990638730747, 2268453125412931939, 446885265424027932207, 88036397287270255991366]$ |
$29753$ |
$[29753, 1486132597, 58424836586861, 2268458620586938069, 88036579539387351004928, 3416605262117190381376509853, 132595007546558939464897780846037, 5145879578874809469422733978184607877, 199706440450387984499577028698847893489257, 7750407247327895606188079856730902628794806272]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.1628653.1 |
$D_{4}$ |
simple |
| 2.197.abz_boc |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 27 x + 197 x^{2} )( 1 - 24 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38293, 7642008, 1506148369, 296710077327, 58451744877946, 11514990721848915, 2268453126796180801, 446885265443471801496, 88036397287489059293293]$ |
$29754$ |
$[29754, 1486212300, 58426007929632, 2268468016612632000, 88036633637144980098354, 3416605510800302026697836800, 132595008503663863185872144031378, 5145879582012644672993769280989024000, 199706440459077163187607284918950456005408, 7750407247347158260604284316560395494813851500]$ |
$18$ |
$18$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-53}) \) |
$C_2$, $C_2$ |
1.197.abb $\times$ 1.197.ay |
| 2.197.abz_bod |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 51 x + 1043 x^{2} - 10047 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38295, 7642161, 1506154603, 296710259142, 58451749098135, 11514990803344161, 2268453128118972403, 446885265461033861667, 88036397287657206949350]$ |
$29755$ |
$[29755, 1486292005, 58427179278655, 2268477406622391525, 88036687583588291482000, 3416605757477705668927208245, 132595009442080857759550628880055, 5145879585013335417133526450204283525, 199706440466925389108767625274190455223555, 7750407247361961374455914707274049362210592000]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.384525.1 |
$D_{4}$ |
simple |
| 2.197.abz_boe |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 26 x + 197 x^{2} )( 1 - 25 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$147$ |
$[147, 38297, 7642314, 1506160833, 296710440447, 58451753284022, 11514990883218627, 2268453129381506401, 446885265476727048258, 88036397287775352657857]$ |
$29756$ |
$[29756, 1486371712, 58428350633936, 2268486790616241664, 88036741378717333828076, 3416606002150102789284683776, 132595010361834588350347352698028, 5145879587877334612157917793227315200, 199706440473938442964413322409295043812944, 7750407247372362496987987950013927970885421952]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-163}) \) |
$C_2$, $C_2$ |
1.197.aba $\times$ 1.197.az |
| 2.197.aby_bmw |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 22 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38330, 7642324, 1506133518, 296709325508, 58451724146090, 11514990293020964, 2268453119593220638, 446885265343135751668, 88036397286345207498650]$ |
$29920$ |
$[29920, 1487622400, 58428412488160, 2268445645312000000, 88036410564582044197600, 3416604298987330790148409600, 132595003565714077359561196726240, 5145879565673067192298028900352000000, 199706440414238460930896526251624802938080, 7750407247246457669573725536102700762464160000]$ |
$28$ |
$28$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-19}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.aw |
| 2.197.aby_bmx |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 50 x + 1011 x^{2} - 9850 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38332, 7642474, 1506139476, 296709494508, 58451727977398, 11514990366547564, 2268453120833687268, 446885265362187230818, 88036397286623573237772]$ |
$29921$ |
$[29921, 1487702041, 58429560763664, 2268454619493482441, 88036460708611518419161, 3416604522933928432826653696, 132595004412372174498537735454049, 5145879568487007592082324745762929225, 199706440422752286246696243669846423771536, 7750407247270963986374093670970098262265698921]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.257600.5 |
$D_{4}$ |
simple |
| 2.197.aby_bmy |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 50 x + 1012 x^{2} - 9850 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38334, 7642624, 1506145430, 296709663008, 58451731775838, 11514990438559364, 2268453122019243934, 446885265379574790868, 88036397286858185766414]$ |
$29922$ |
$[29922, 1487781684, 58430709045234, 2268463587658425936, 88036510704292845406482, 3416604744959338366519452756, 132595005241587365638966166824578, 5145879571176387313006376657302139904, 199706440430522530633979482505652508668306, 7750407247291618428154064072822878922226954324]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.5359424.1 |
$D_{4}$ |
simple |
| 2.197.aby_bmz |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 50 x + 1013 x^{2} - 9850 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38336, 7642774, 1506151380, 296709831008, 58451735541422, 11514990509058464, 2268453123150082084, 446885265395310539518, 88036397287049641481936]$ |
$29923$ |
$[29923, 1487861329, 58431857332876, 2268472549806854761, 88036560551626070608243, 3416604965064262065751676176, 132595006053383832306642883453387, 5145879573741640645913917158126126729, 199706440437554604845490170458751413292524, 7750407247308473499588569647229012004922050049]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.5557824.2 |
$D_{4}$ |
simple |
| 2.197.aby_bna |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 50 x + 1014 x^{2} - 9850 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38338, 7642924, 1506157326, 296709998508, 58451739274162, 11514990578046964, 2268453124226393118, 446885265409406573668, 88036397287198535524578]$ |
$29924$ |
$[29924, 1487940976, 58433005626596, 2268481505938793216, 88036610250611239594564, 3416605183249401005340376816, 132595006847785756027815827542916, 5145879576183201772763436821698457600, 199706440443853914807611814244240488502244, 7750407247321581594680227859676302709498874096]$ |
$36$ |
$36$ |
$2$ |
$2$ |
$1$ |
4.0.311600.1 |
$D_{4}$ |
simple |
| 2.197.aby_bnb |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 27 x + 197 x^{2} )( 1 - 23 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38340, 7643074, 1506163268, 296710165508, 58451742974070, 11514990645526964, 2268453125248368388, 446885265421874979418, 88036397287305461777700]$ |
$29925$ |
$[29925, 1488020625, 58434153926400, 2268490456054265625, 88036659801248398057125, 3416605399515456660395520000, 132595007624817318329186627977725, 5145879578501504766628188334650515625, 199706440449425861620367505255529060243200, 7750407247330994996780469477112930426086140625]$ |
$72$ |
$72$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-259}) \) |
$C_2$, $C_2$ |
1.197.abb $\times$ 1.197.ax |
| 2.197.aby_bnc |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 50 x + 1016 x^{2} - 9850 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38342, 7643224, 1506169206, 296710332008, 58451746641158, 11514990711500564, 2268453126216199198, 446885265432727832068, 88036397287371012868022]$ |
$29926$ |
$[29926, 1488100276, 58435302232294, 2268499400153296336, 88036709203537591809286, 3416605613863130506320713236, 132595008384502700737912742525254, 5145879580696983591696190577269478400, 199706440454275841557419925266974950645366, 7750407247336765878610667309553897391744059796]$ |
$16$ |
$16$ |
$2$ |
$2$ |
$1$ |
4.0.2606400.5 |
$D_{4}$ |
simple |
| 2.197.aby_bnd |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 50 x + 1017 x^{2} - 9850 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38344, 7643374, 1506175140, 296710498008, 58451750275438, 11514990775969864, 2268453127130076804, 446885265441977196118, 88036397287395780165864]$ |
$29927$ |
$[29927, 1488179929, 58436450544284, 2268508338235909721, 88036758457478866786207, 3416605826293124018813936656, 132595009126866084781609605147143, 5145879582770072103270232721654398889, 199706440458409246066071352176396812199356, 7750407247338946302283264951753810039651789849]$ |
$15$ |
$15$ |
$2$ |
$2$ |
$1$ |
4.0.1338944.2 |
$D_{4}$ |
simple |
| 2.197.aby_bne |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 26 x + 197 x^{2} )( 1 - 24 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$148$ |
$[148, 38346, 7643524, 1506181070, 296710663508, 58451753876922, 11514990838936964, 2268453127990192414, 446885265449635125268, 88036397287380353785386]$ |
$29928$ |
$[29928, 1488259584, 58437598862376, 2268517270302130176, 88036807563072269044968, 3416606036806138673868274176, 132595009851931651988352778426152, 5145879584721204047767878347581292544, 199706440461831461767263665787624914850024, 7750407247337588219322905524946416984561089024]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-53}) \) |
$C_2$, $C_2$ |
1.197.aba $\times$ 1.197.ay |
| 2.197.aby_bnf |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 25 x + 197 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$148$ |
$[148, 38348, 7643674, 1506186996, 296710828508, 58451757445622, 11514990900403964, 2268453128796737188, 446885265455713662418, 88036397287325322584828]$ |
$29929$ |
$[29929, 1488339241, 58438747186576, 2268526196351982121, 88036856520317844764689, 3416606245402875947772645376, 132595010559723583886680111113721, 5145879586550813062721469576118175625, 199706440464547870455578353633253394167824, 7750407247332743470687560418651329242563245721]$ |
$7$ |
$7$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-163}) \) |
$C_2$ |
1.197.az 2 |
| 2.197.abx_blu |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 21 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38373, 7643120, 1506139409, 296709222889, 58451719764906, 11514990211482613, 2268453118739455681, 446885265343090218080, 88036397286553390356093]$ |
$30090$ |
$[30090, 1489274460, 58434493904280, 2268454517535024000, 88036380116677126650450, 3416604042899614902931964160, 132595002626800757456855560472610, 5145879563736341410637748955700928000, 199706440414218112641339256749175222905240, 7750407247264785338319896930982303760868034300]$ |
$10$ |
$10$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-347}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.av |
| 2.197.abx_blv |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 983 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38375, 7643267, 1506145083, 296709377974, 58451723126975, 11514990272899507, 2268453119729347123, 446885265357922866029, 88036397286774715091750]$ |
$30091$ |
$[30091, 1489354045, 58435619134759, 2268463063881073525, 88036426131949646437456, 3416604239418365588457793405, 132595003334015701577659347976999, 5145879565981863742061667836172687525, 199706440420846604456256888675713480708491, 7750407247284269970677631927216741711990688000]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.103525.1 |
$D_{4}$ |
simple |
| 2.197.abx_blw |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 984 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38377, 7643414, 1506150753, 296709532569, 58451726457622, 11514990332910101, 2268453120669950241, 446885265371317051358, 88036397286959719529457]$ |
$30092$ |
$[30092, 1489433632, 58436744371136, 2268471604210070144, 88036472001840386353852, 3416604434100449119847397376, 132595004025037115758713410253884, 5145879568115577821249530430703065600, 199706440426832268521490544441848606532544, 7750407247300557094855441922839087428978744352]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.2898044.1 |
$D_{4}$ |
simple |
| 2.197.abx_blx |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 49 x + 985 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$149$ |
$[149, 38379, 7643561, 1506156419, 296709686674, 58451729756859, 11514990391516453, 2268453121561448323, 446885265383284062785, 88036397287108943542854]$ |
$30093$ |
$[30093, 1489513221, 58437869613417, 2268480138522037461, 88036517726349389081808, 3416604626946566966223021597, 132595004699888697889457834255313, 5145879570137899428461454627683003973, 199706440432180149598791412768967753438349, 7750407247313694239383587320028503959917858816]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.13214957.1 |
$D_{4}$ |
simple |
| 2.197.abx_bly |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 986 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38381, 7643708, 1506162081, 296709840289, 58451733024698, 11514990448720621, 2268453122404024609, 446885265393835178444, 88036397287222925801141]$ |
$30094$ |
$[30094, 1489592812, 58438994861608, 2268488666816999104, 88036563305476697421574, 3416604817957420596981783808, 132595005358594145859741299689318, 5145879572049244235072247395494601472, 199706440436895287720077397769829324312168, 7750407247323728826757770415730245697849757772]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.13516668.1 |
$D_{4}$ |
simple |
| 2.197.abx_blz |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 987 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38383, 7643855, 1506167739, 296709993414, 58451736261151, 11514990504524663, 2268453123197862291, 446885265402981665885, 88036397287302203769318]$ |
$30095$ |
$[30095, 1489672405, 58440120115715, 2268497189094978725, 88036608739222354291600, 3416605007133711481796382805, 132595006001177157559823091589355, 5145879573850027803571408471455664325, 199706440440982718187433123880145488599895, 7750407247330708173460264142144706198568326400]$ |
$17$ |
$17$ |
$2$ |
$2$ |
$1$ |
4.0.12760493.1 |
$D_{4}$ |
simple |
| 2.197.abx_bma |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 27 x + 197 x^{2} )( 1 - 22 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38385, 7644002, 1506173393, 296710146049, 58451739466230, 11514990558930637, 2268453123943144513, 446885265410734782074, 88036397287347313708425]$ |
$30096$ |
$[30096, 1489752000, 58441245375744, 2268505705356000000, 88036654027586402728656, 3416605194476141090615808000, 132595006627661430880375117848144, 5145879575540665587563134067376000000, 199706440444447471573109940826304139023616, 7750407247334679489981040807274144789731800000]$ |
$60$ |
$60$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-19}) \) |
$C_2$, $C_2$ |
1.197.abb $\times$ 1.197.aw |
| 2.197.abx_bmb |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 989 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38387, 7644149, 1506179043, 296710298194, 58451742639947, 11514990611940601, 2268453124640054371, 446885265417105773393, 88036397287358790675782]$ |
$30097$ |
$[30097, 1489831597, 58442370641701, 2268514215600086629, 88036699170568885887952, 3416605379985410893666049701, 132595007238070663712483931720949, 5145879577121572931766320591765189925, 199706440447294573719525928629383289253849, 7750407247335689880838900835527476867796529152]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.9129141.1 |
$D_{4}$ |
simple |
| 2.197.abx_bmc |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 990 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38389, 7644296, 1506184689, 296710449849, 58451745782314, 11514990663556613, 2268453125288774913, 446885265422105875640, 88036397287337168525229]$ |
$30098$ |
$[30098, 1489911196, 58443495913592, 2268522719827262336, 88036744168169847043258, 3416605563662222361450810112, 132595007832428553947652759303338, 5145879578593165072014568388731616768, 199706440449529045739265902645611271310584, 7750407247333786344602601508383514336871241916]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.6782252.1 |
$D_{4}$ |
simple |
| 2.197.abx_bmd |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 991 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38391, 7644443, 1506190331, 296710601014, 58451748893343, 11514990713780731, 2268453125889489139, 446885265425746314029, 88036397287282979907366]$ |
$30099$ |
$[30099, 1489990797, 58444621191423, 2268531218037550869, 88036789020389329587024, 3416605745507276964752215053, 132595008410758799477803531988463, 5145879579955857135256185493612562277, 199706440451155904015081418643426449628803, 7750407247329015773911985705113044204763990272]$ |
$29$ |
$29$ |
$2$ |
$2$ |
$1$ |
4.0.4434053.1 |
$D_{4}$ |
simple |
| 2.197.abx_bme |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 26 x + 197 x^{2} )( 1 - 23 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38393, 7644590, 1506195969, 296710751689, 58451751973046, 11514990762615013, 2268453126442380001, 446885265428038303190, 88036397287196756269793]$ |
$30100$ |
$[30100, 1490070400, 58445746475200, 2268539710230976000, 88036833727227377030500, 3416605925521276174631526400, 132595008973085098195278923908900, 5145879581210064139554191405375232000, 199706440452180160199890777917290527249600, 7750407247321424955499110643560134916250672000]$ |
$32$ |
$32$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-259}) \) |
$C_2$, $C_2$ |
1.197.aba $\times$ 1.197.ax |
| 2.197.abx_bmf |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 993 x^{2} - 9653 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38395, 7644737, 1506201603, 296710901874, 58451755021435, 11514990810061517, 2268453126947630403, 446885265428993047169, 88036397287079027857350]$ |
$30101$ |
$[30101, 1490150005, 58446871764929, 2268548196407561525, 88036878288684033003856, 3416606103704921462429855245, 132595009519431147992844394368089, 5145879582356200994086320875828603525, 199706440452606821216779032438409878486341, 7750407247311060570209376620983061571937792000]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.794525.2 |
$D_{4}$ |
simple |
| 2.197.abx_bmg |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 25 x + 197 x^{2} )( 1 - 24 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$149$ |
$[149, 38397, 7644884, 1506207233, 296711051569, 58451758038522, 11514990856122301, 2268453127405423201, 446885265428621739428, 88036397286930323712357]$ |
$30102$ |
$[30102, 1490229612, 58447997060616, 2268556676567331264, 88036922704759341256302, 3416606280058914299768875776, 132595010049820646763690235266414, 5145879583394682499145027715686035200, 199706440452440889258997990042519701666504, 7750407247297969193022655754955242753026597452]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \), \(\Q(\sqrt{-53}) \) |
$C_2$, $C_2$ |
1.197.az $\times$ 1.197.ay |
| 2.197.abw_bks |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 28 x + 197 x^{2} )( 1 - 20 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38414, 7643790, 1506141582, 296709058950, 58451715095006, 11514990145012350, 2268453118407006238, 446885265352210111350, 88036397286842273661614]$ |
$30260$ |
$[30260, 1490849680, 58439612684180, 2268457790212096000, 88036331474621715101300, 3416603769935953841969430160, 132595001861396324539933092254420, 5145879562982195433952154347929600000, 199706440418293658565577720341505646236340, 7750407247290217583774292963839791375437696400]$ |
$16$ |
$16$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-97}) \) |
$C_2$, $C_2$ |
1.197.abc $\times$ 1.197.au |
| 2.197.abw_bkt |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 955 x^{2} - 9456 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38416, 7643934, 1506146980, 296709201030, 58451718040702, 11514990196396158, 2268453119207520964, 446885265364235686278, 88036397287032117448336]$ |
$30261$ |
$[30261, 1490929209, 58440714873156, 2268465920779182201, 88036373631149825973861, 3416603942116970912888791056, 132595002453080376948295003212381, 5145879564798125562524127627516445929, 199706440423667710808679044822640875567844, 7750407247306930746804681420540106984980276249]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.15296400.2 |
$D_{4}$ |
simple |
| 2.197.abw_bku |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 956 x^{2} - 9456 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38418, 7644078, 1506152374, 296709342630, 58451720956386, 11514990246476286, 2268453119963875486, 446885265375019956726, 88036397287191831883218]$ |
$30262$ |
$[30262, 1491008740, 58441817067862, 2268474045328717200, 88036415645262574319302, 3416604112543737197769296740, 132595003029752567404350292458886, 5145879566513880338548749726347366400, 199706440428487042369773582465969000739798, 7750407247320991430246459841678040862663457700]$ |
$32$ |
$32$ |
$2$ |
$2$ |
$1$ |
4.0.21788928.2 |
$D_{4}$ |
simple |
| 2.197.abw_bkv |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 957 x^{2} - 9456 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38420, 7644222, 1506157764, 296709483750, 58451723842070, 11514990295254750, 2268453120676245124, 446885265384573433254, 88036397287321904770100]$ |
$30263$ |
$[30263, 1491088273, 58442919268304, 2268482163860723929, 88036457516960000135543, 3416604281216954160679840000, 132595003591436110161895388198207, 5145879568129857467246461636137054249, 199706440432756350263264756798706207590096, 7750407247332442578592287399818886351713246353]$ |
$26$ |
$26$ |
$2$ |
$2$ |
$1$ |
4.0.1630681.1 |
$D_{4}$ |
simple |
| 2.197.abw_bkw |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 958 x^{2} - 9456 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38422, 7644366, 1506163150, 296709624390, 58451726697766, 11514990342733566, 2268453121344805150, 446885265392906616054, 88036397287422822759862]$ |
$30264$ |
$[30264, 1491167808, 58444021474488, 2268490276375225344, 88036499246242143535224, 3416604448137323265947382336, 132595004138154219475095034958712, 5145879569646454544952331323727822848, 199706440436480326870249854542960421021624, 7750407247341327034832378834335634807828801088]$ |
$112$ |
$112$ |
$2$ |
$2$ |
$1$ |
4.0.444672.1 |
$D_{4}$ |
simple |
| 2.197.abw_bkx |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 959 x^{2} - 9456 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38424, 7644510, 1506168532, 296709764550, 58451729523486, 11514990388914750, 2268453121969730788, 446885265400029994950, 88036397287495071350664]$ |
$30265$ |
$[30265, 1491247345, 58445123686420, 2268498382872244425, 88036540833109044745825, 3416604613305545978157642640, 132595004669930109598484185256905, 5145879571064069059116057068926295625, 199706440439663659938520029886139443233460, 7750407247347687540475633190987518914343636225]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.29150352.1 |
$D_{4}$ |
simple |
| 2.197.abw_bky |
$2$ |
$\F_{197}$ |
$197$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 960 x^{2} - 9456 x^{3} + 38809 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38426, 7644654, 1506173910, 296709904230, 58451732319242, 11514990433800318, 2268453122551197214, 446885265405954049398, 88036397287539134888186]$ |
$30266$ |
$[30266, 1491326884, 58446225904106, 2268506483351804176, 88036582277560744109786, 3416604776722323762155786596, 132595005186786994786969896084746, 5145879572383098388301970817965686784, 199706440442311032582560308784139023002874, 7750407247351566735570762561548773006040005924]$ |
$24$ |
$24$ |
$2$ |
$2$ |
$1$ |
4.0.28422400.1 |
$D_{4}$ |
simple |
| 2.197.abw_bkz |
$2$ |
$\F_{197}$ |
$197$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 27 x + 197 x^{2} )( 1 - 21 x + 197 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$150$ |
$[150, 38428, 7644798, 1506179284, 296710043430, 58451735085046, 11514990477392286, 2268453123089379556, 446885265410689248486, 88036397287555496565868]$ |
$30267$ |
$[30267, 1491406425, 58447328127552, 2268514577813927625, 88036623579597282084627, 3416604938388358083047116800, 132595005688748089295833230225291, 5145879573603939802189041552632279625, 199706440444427123283549593297454852714048, 7750407247353007158727420823487960122013779625]$ |
$105$ |
$105$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-347}) \) |
$C_2$, $C_2$ |
1.197.abb $\times$ 1.197.av |
