| 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 |
| 1.331.abk |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$296$ |
$[296, 108928, 36253784, 12003429888, 3973192839176, 1315127766870400, 435307305521909816, 144086718346331977728, 47692703775643094106344, 15786284949773773767046528]$ |
$296$ |
$[296, 108928, 36253784, 12003429888, 3973192839176, 1315127766870400, 435307305521909816, 144086718346331977728, 47692703775643094106344, 15786284949773773767046528]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$C_2$ |
simple |
| 1.331.abj |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$297$ |
$[297, 108999, 36256572, 12003514875, 3973195073727, 1315127819920464, 435307306685480757, 144086718370186213875, 47692703776102271436132, 15786284949782060378209479]$ |
$297$ |
$[297, 108999, 36256572, 12003514875, 3973195073727, 1315127819920464, 435307306685480757, 144086718370186213875, 47692703776102271436132, 15786284949782060378209479]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |
| 1.331.abi |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$298$ |
$[298, 109068, 36259150, 12003587808, 3973196797978, 1315127855141100, 435307307305660318, 144086718379139541888, 47692703776186971963850, 15786284949781628624034828]$ |
$298$ |
$[298, 109068, 36259150, 12003587808, 3973196797978, 1315127855141100, 435307307305660318, 144086718379139541888, 47692703776186971963850, 15786284949781628624034828]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-42}) \) |
$C_2$ |
simple |
| 1.331.abh |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$299$ |
$[299, 109135, 36261524, 12003649515, 3973198073429, 1315127875818640, 435307307524029239, 144086718378406524435, 47692703776067115757004, 15786284949777483276913375]$ |
$299$ |
$[299, 109135, 36261524, 12003649515, 3973198073429, 1315127875818640, 435307307524029239, 144086718378406524435, 47692703776067115757004, 15786284949777483276913375]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-235}) \) |
$C_2$ |
simple |
| 1.331.abg |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$300$ |
$[300, 109200, 36263700, 12003700800, 3973198957500, 1315127884870800, 435307307458577700, 144086718372002515200, 47692703775861198420300, 15786284949772700784330000]$ |
$300$ |
$[300, 109200, 36263700, 12003700800, 3973198957500, 1315127884870800, 435307307458577700, 144086718372002515200, 47692703775861198420300, 15786284949772700784330000]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.331.abf |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$301$ |
$[301, 109263, 36265684, 12003742443, 3973199503651, 1315127884870800, 435307307206256401, 144086718362932711443, 47692703775647303362444, 15786284949768965195051103]$ |
$301$ |
$[301, 109263, 36265684, 12003742443, 3973199503651, 1315127884870800, 435307307206256401, 144086718362932711443, 47692703775647303362444, 15786284949768965195051103]$ |
$5$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.331.abe |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 30 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$302$ |
$[302, 109324, 36267482, 12003775200, 3973199761502, 1315127878070764, 435307306845361322, 144086718353361148800, 47692703775472433066702, 15786284949766994220942604]$ |
$302$ |
$[302, 109324, 36267482, 12003775200, 3973199761502, 1315127878070764, 435307306845361322, 144086718353361148800, 47692703775472433066702, 15786284949766994220942604]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-106}) \) |
$C_2$ |
simple |
| 1.331.abd |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$303$ |
$[303, 109383, 36269100, 12003799803, 3973199776953, 1315127866424400, 435307306437757203, 144086718344760948723, 47692703775360336102900, 15786284949766871893042503]$ |
$303$ |
$[303, 109383, 36269100, 12003799803, 3973199776953, 1315127866424400, 435307306437757203, 144086718344760948723, 47692703775360336102900, 15786284949766871893042503]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-483}) \) |
$C_2$ |
simple |
| 1.331.abc |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$304$ |
$[304, 109440, 36270544, 12003816960, 3973199592304, 1315127851608960, 435307306030944784, 144086718338047088640, 47692703775317995006384, 15786284949768302544816000]$ |
$304$ |
$[304, 109440, 36270544, 12003816960, 3973199592304, 1315127851608960, 435307306030944784, 144086718338047088640, 47692703775317995006384, 15786284949768302544816000]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
simple |
| 1.331.abb |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$305$ |
$[305, 109495, 36271820, 12003827355, 3973199246375, 1315127835046480, 435307305659976845, 144086718333692924595, 47692703775340928900180, 15786284949770799244132375]$ |
$305$ |
$[305, 109495, 36271820, 12003827355, 3973199246375, 1315127835046480, 435307305659976845, 144086718333692924595, 47692703775340928900180, 15786284949770799244132375]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-595}) \) |
$C_2$ |
simple |
| 1.331.aba |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$306$ |
$[306, 109548, 36272934, 12003831648, 3973198774626, 1315127817924300, 435307305349228086, 144086718331831655808, 47692703775417453850194, 15786284949773818294792428]$ |
$306$ |
$[306, 109548, 36272934, 12003831648, 3973198774626, 1315127817924300, 435307305349228086, 144086718331831655808, 47692703775417453850194, 15786284949773818294792428]$ |
$9$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.331.az |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$307$ |
$[307, 109599, 36273892, 12003830475, 3973198209277, 1315127801214864, 435307305114023887, 144086718332343880275, 47692703775532033419772, 15786284949776850034774479]$ |
$307$ |
$[307, 109599, 36273892, 12003830475, 3973198209277, 1315127801214864, 435307305114023887, 144086718332343880275, 47692703775532033419772, 15786284949776850034774479]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-699}) \) |
$C_2$ |
simple |
| 1.331.ay |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$308$ |
$[308, 109648, 36274700, 12003824448, 3973197579428, 1315127785694800, 435307304962132988, 144086718334932350208, 47692703775667841729300, 15786284949779474868126928]$ |
$308$ |
$[308, 109648, 36274700, 12003824448, 3973197579428, 1315127785694800, 435307304962132988, 144086718334932350208, 47692703775667841729300, 15786284949779474868126928]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-187}) \) |
$C_2$ |
simple |
| 1.331.ax |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$309$ |
$[309, 109695, 36275364, 12003814155, 3973196911179, 1315127771963280, 435307304895129129, 144086718339184995795, 47692703775808651528764, 15786284949781392276987375]$ |
$309$ |
$[309, 109695, 36275364, 12003814155, 3973196911179, 1315127771963280, 435307304895129129, 144086718339184995795, 47692703775808651528764, 15786284949781392276987375]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-795}) \) |
$C_2$ |
simple |
| 1.331.aw |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$310$ |
$[310, 109740, 36275890, 12003800160, 3973196227750, 1315127760459660, 435307304909626690, 144086718344627245440, 47692703775940150356310, 15786284949782429465923500]$ |
$310$ |
$[310, 109740, 36275890, 12003800160, 3973196227750, 1315127760459660, 435307304909626690, 144086718344627245440, 47692703775940150356310, 15786284949782429465923500]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-210}) \) |
$C_2$ |
simple |
| 1.331.av |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$311$ |
$[311, 109783, 36276284, 12003783003, 3973195549601, 1315127751480400, 435307304998395371, 144086718350764630323, 47692703776050778783844, 15786284949782535289040503]$ |
$311$ |
$[311, 109783, 36276284, 12003783003, 3973195549601, 1315127751480400, 435307304998395371, 144086718350764630323, 47692703776050778783844, 15786284949782535289040503]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-883}) \) |
$C_2$ |
simple |
| 1.331.au |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$312$ |
$[312, 109824, 36276552, 12003763200, 3973194894552, 1315127745195264, 435307305151358952, 144086718357116620800, 47692703776132176041592, 15786284949781764197455104]$ |
$312$ |
$[312, 109824, 36276552, 12003763200, 3973194894552, 1315127745195264, 435307305151358952, 144086718357116620800, 47692703776132176041592, 15786284949781764197455104]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-231}) \) |
$C_2$ |
simple |
| 1.331.at |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$313$ |
$[313, 109863, 36276700, 12003741243, 3973194277903, 1315127741662800, 435307305356483173, 144086718363242601843, 47692703776179309967300, 15786284949780254117168103]$ |
$313$ |
$[313, 109863, 36276700, 12003741243, 3973194277903, 1315127741662800, 435307305356483173, 144086718363242601843, 47692703776179309967300, 15786284949780254117168103]$ |
$9$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-107}) \) |
$C_2$ |
simple |
| 1.331.as |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$314$ |
$[314, 109900, 36276734, 12003717600, 3973193712554, 1315127740845100, 435307305600557774, 144086718368760854400, 47692703776190360242394, 15786284949778201421447500]$ |
$314$ |
$[314, 109900, 36276734, 12003717600, 3973193712554, 1315127740845100, 435307305600557774, 144086718368760854400, 47692703776190360242394, 15786284949778201421447500]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \) |
$C_2$ |
simple |
| 1.331.ar |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$315$ |
$[315, 109935, 36276660, 12003692715, 3973193209125, 1315127742621840, 435307305869877735, 144086718373361369235, 47692703776166416256940, 15786284949775835493933375]$ |
$315$ |
$[315, 109935, 36276660, 12003692715, 3973193209125, 1315127742621840, 435307305869877735, 144086718373361369235, 47692703776166416256940, 15786284949775835493933375]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-115}) \) |
$C_2$ |
simple |
| 1.331.aq |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$316$ |
$[316, 109968, 36276484, 12003667008, 3973192776076, 1315127746803600, 435307306150828756, 144086718376813279488, 47692703776111043687644, 15786284949773394785165328]$ |
$316$ |
$[316, 109968, 36276484, 12003667008, 3973192776076, 1315127746803600, 435307306150828756, 144086718376813279488, 47692703776111043687644, 15786284949773394785165328]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-267}) \) |
$C_2$ |
simple |
| 1.331.ap |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$317$ |
$[317, 109999, 36276212, 12003640875, 3973192419827, 1315127753144464, 435307306430382017, 144086718378967657875, 47692703776029766978412, 15786284949771105742484479]$ |
$317$ |
$[317, 109999, 36276212, 12003640875, 3973192419827, 1315127753144464, 435307306430382017, 144086718378967657875, 47692703776029766978412, 15786284949771105742484479]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1099}) \) |
$C_2$ |
simple |
| 1.331.ao |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$318$ |
$[318, 110028, 36275850, 12003614688, 3973192144878, 1315127761353900, 435307306696503258, 144086718379756384128, 47692703775929508381150, 15786284949769165537646028]$ |
$318$ |
$[318, 110028, 36275850, 12003614688, 3973192144878, 1315127761353900, 435307306696503258, 144086718379756384128, 47692703775929508381150, 15786284949769165537646028]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-282}) \) |
$C_2$ |
simple |
| 1.331.an |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$319$ |
$[319, 110055, 36275404, 12003588795, 3973191953929, 1315127771107920, 435307306938481219, 144086718379187747955, 47692703775818018045524, 15786284949767729124366375]$ |
$319$ |
$[319, 110055, 36275404, 12003588795, 3973191953929, 1315127771107920, 435307306938481219, 144086718379187747955, 47692703775818018045524, 15786284949767729124366375]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1155}) \) |
$C_2$ |
simple |
| 1.331.am |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$320$ |
$[320, 110080, 36274880, 12003563520, 3973191848000, 1315127782059520, 435307307147180480, 144086718377339412480, 47692703775703323840320, 15786284949766900825792000]$ |
$320$ |
$[320, 110080, 36274880, 12003563520, 3973191848000, 1315127782059520, 435307307147180480, 144086718377339412480, 47692703775703323840320, 15786284949766900825792000]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-295}) \) |
$C_2$ |
simple |
| 1.331.al |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$321$ |
$[321, 110103, 36274284, 12003539163, 3973191826551, 1315127793848400, 435307307315223741, 144086718374349322803, 47692703775593224145844, 15786284949766730375886903]$ |
$321$ |
$[321, 110103, 36274284, 12003539163, 3973191826551, 1315127793848400, 435307307315223741, 144086718374349322803, 47692703775593224145844, 15786284949766730375886903]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1203}) \) |
$C_2$ |
simple |
| 1.331.ak |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$322$ |
$[322, 110124, 36273622, 12003516000, 3973191887602, 1315127806109964, 435307307437108582, 144086718370405104000, 47692703775494841776482, 15786284949767213115362604]$ |
$322$ |
$[322, 110124, 36273622, 12003516000, 3973191887602, 1315127806109964, 435307307437108582, 144086718370405104000, 47692703775494841776482, 15786284949767213115362604]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-34}) \) |
$C_2$ |
simple |
| 1.331.aj |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$323$ |
$[323, 110143, 36272900, 12003494283, 3973192027853, 1315127818483600, 435307307509263743, 144086718365732452563, 47692703775414252475100, 15786284949768293868390703]$ |
$323$ |
$[323, 110143, 36272900, 12003494283, 3973192027853, 1315127818483600, 435307307509263743, 144086718365732452563, 47692703775414252475100, 15786284949768293868390703]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1243}) \) |
$C_2$ |
simple |
| 1.331.ai |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$324$ |
$[324, 110160, 36272124, 12003474240, 3973192242804, 1315127830620240, 435307307530049964, 144086718360582984960, 47692703775356197066404, 15786284949769873897314000]$ |
$324$ |
$[324, 110160, 36272124, 12003474240, 3973192242804, 1315127830620240, 435307307530049964, 144086718360582984960, 47692703775356197066404, 15786284949769873897314000]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \) |
$C_2$ |
simple |
| 1.331.ah |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$325$ |
$[325, 110175, 36271300, 12003456075, 3973192526875, 1315127842189200, 435307307499710425, 144086718355221966675, 47692703775323882364700, 15786284949771820245279375]$ |
$325$ |
$[325, 110175, 36271300, 12003456075, 3973192526875, 1315127842189200, 435307307499710425, 144086718355221966675, 47692703775323882364700, 15786284949771820245279375]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-51}) \) |
$C_2$ |
simple |
| 1.331.ag |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$326$ |
$[326, 110188, 36270434, 12003439968, 3973192873526, 1315127852884300, 435307307420275826, 144086718349916304768, 47692703775318872302694, 15786284949773976727525228]$ |
$326$ |
$[326, 110188, 36270434, 12003439968, 3973192873526, 1315127852884300, 435307307420275826, 144086718349916304768, 47692703775318872302694, 15786284949773976727525228]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-322}) \) |
$C_2$ |
simple |
| 1.331.af |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$327$ |
$[327, 110199, 36269532, 12003426075, 3973193275377, 1315127862429264, 435307307295429147, 144086718344923146675, 47692703775341067482052, 15786284949776175817339479]$ |
$327$ |
$[327, 110199, 36269532, 12003426075, 3973193275377, 1315127862429264, 435307307295429147, 144086718344923146675, 47692703775341067482052, 15786284949776175817339479]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1299}) \) |
$C_2$ |
simple |
| 1.331.ae |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$328$ |
$[328, 110208, 36268600, 12003414528, 3973193724328, 1315127870582400, 435307307130335128, 144086718340479387648, 47692703775388768443400, 15786284949778250688832128]$ |
$328$ |
$[328, 110208, 36268600, 12003414528, 3973193724328, 1315127870582400, 435307307130335128, 144086718340479387648, 47692703775388768443400, 15786284949778250688832128]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-327}) \) |
$C_2$ |
simple |
| 1.331.ad |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$329$ |
$[329, 110215, 36267644, 12003405435, 3973194211679, 1315127877140560, 435307306931439509, 144086718336792348915, 47692703775458815413284, 15786284949780046722010375]$ |
$329$ |
$[329, 110215, 36267644, 12003405435, 3973194211679, 1315127877140560, 435307306931439509, 144086718336792348915, 47692703775458815413284, 15786284949780046722010375]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1315}) \) |
$C_2$ |
simple |
| 1.331.ac |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$330$ |
$[330, 110220, 36266670, 12003398880, 3973194728250, 1315127881942380, 435307306706243070, 144086718334031848320, 47692703775546795108330, 15786284949781431842575500]$ |
$330$ |
$[330, 110220, 36266670, 12003398880, 3973194728250, 1315127881942380, 435307306706243070, 144086718334031848320, 47692703775546795108330, 15786284949781431842575500]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-330}) \) |
$C_2$ |
simple |
| 1.331.ab |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$331$ |
$[331, 110223, 36265684, 12003394923, 3973195264501, 1315127884870800, 435307306463055511, 144086718332323844883, 47692703775647303362444, 15786284949782305155750303]$ |
$331$ |
$[331, 110223, 36265684, 12003394923, 3973195264501, 1315127884870800, 435307306463055511, 144086718332323844883, 47692703775647303362444, 15786284949782305155750303]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.331.a |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 + 331 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$332$ |
$[332, 110224, 36264692, 12003393600, 3973195810652, 1315127885854864, 435307306210734212, 144086718331745798400, 47692703775754250891372, 15786284949782603436665104]$ |
$332$ |
$[332, 110224, 36264692, 12003393600, 3973195810652, 1315127885854864, 435307306210734212, 144086718331745798400, 47692703775754250891372, 15786284949782603436665104]$ |
$12$ |
$0$ |
$1$ |
$1$ |
$2$ |
\(\Q(\sqrt{-331}) \) |
$C_2$ |
simple |
| 1.331.b |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$333$ |
$[333, 110223, 36263700, 12003394923, 3973196356803, 1315127884870800, 435307305958412913, 144086718332323844883, 47692703775861198420300, 15786284949782305155750303]$ |
$333$ |
$[333, 110223, 36263700, 12003394923, 3973196356803, 1315127884870800, 435307305958412913, 144086718332323844883, 47692703775861198420300, 15786284949782305155750303]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.331.c |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$334$ |
$[334, 110220, 36262714, 12003398880, 3973196893054, 1315127881942380, 435307305715225354, 144086718334031848320, 47692703775961706674414, 15786284949781431842575500]$ |
$334$ |
$[334, 110220, 36262714, 12003398880, 3973196893054, 1315127881942380, 435307305715225354, 144086718334031848320, 47692703775961706674414, 15786284949781431842575500]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-330}) \) |
$C_2$ |
simple |
| 1.331.d |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$335$ |
$[335, 110215, 36261740, 12003405435, 3973197409625, 1315127877140560, 435307305490028915, 144086718336792348915, 47692703776049686369460, 15786284949780046722010375]$ |
$335$ |
$[335, 110215, 36261740, 12003405435, 3973197409625, 1315127877140560, 435307305490028915, 144086718336792348915, 47692703776049686369460, 15786284949780046722010375]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1315}) \) |
$C_2$ |
simple |
| 1.331.e |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$336$ |
$[336, 110208, 36260784, 12003414528, 3973197896976, 1315127870582400, 435307305291133296, 144086718340479387648, 47692703776119733339344, 15786284949778250688832128]$ |
$336$ |
$[336, 110208, 36260784, 12003414528, 3973197896976, 1315127870582400, 435307305291133296, 144086718340479387648, 47692703776119733339344, 15786284949778250688832128]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-327}) \) |
$C_2$ |
simple |
| 1.331.f |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$337$ |
$[337, 110199, 36259852, 12003426075, 3973198345927, 1315127862429264, 435307305126039277, 144086718344923146675, 47692703776167434300692, 15786284949776175817339479]$ |
$337$ |
$[337, 110199, 36259852, 12003426075, 3973198345927, 1315127862429264, 435307305126039277, 144086718344923146675, 47692703776167434300692, 15786284949776175817339479]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1299}) \) |
$C_2$ |
simple |
| 1.331.g |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$338$ |
$[338, 110188, 36258950, 12003439968, 3973198747778, 1315127852884300, 435307305001192598, 144086718349916304768, 47692703776189629480050, 15786284949773976727525228]$ |
$338$ |
$[338, 110188, 36258950, 12003439968, 3973198747778, 1315127852884300, 435307305001192598, 144086718349916304768, 47692703776189629480050, 15786284949773976727525228]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-322}) \) |
$C_2$ |
simple |
| 1.331.h |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$339$ |
$[339, 110175, 36258084, 12003456075, 3973199094429, 1315127842189200, 435307304921757999, 144086718355221966675, 47692703776184619418044, 15786284949771820245279375]$ |
$339$ |
$[339, 110175, 36258084, 12003456075, 3973199094429, 1315127842189200, 435307304921757999, 144086718355221966675, 47692703776184619418044, 15786284949771820245279375]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-51}) \) |
$C_2$ |
simple |
| 1.331.i |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$340$ |
$[340, 110160, 36257260, 12003474240, 3973199378500, 1315127830620240, 435307304891418460, 144086718360582984960, 47692703776152304716340, 15786284949769873897314000]$ |
$340$ |
$[340, 110160, 36257260, 12003474240, 3973199378500, 1315127830620240, 435307304891418460, 144086718360582984960, 47692703776152304716340, 15786284949769873897314000]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \) |
$C_2$ |
simple |
| 1.331.j |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$341$ |
$[341, 110143, 36256484, 12003494283, 3973199593451, 1315127818483600, 435307304912204681, 144086718365732452563, 47692703776094249307644, 15786284949768293868390703]$ |
$341$ |
$[341, 110143, 36256484, 12003494283, 3973199593451, 1315127818483600, 435307304912204681, 144086718365732452563, 47692703776094249307644, 15786284949768293868390703]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1243}) \) |
$C_2$ |
simple |
| 1.331.k |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 10 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$342$ |
$[342, 110124, 36255762, 12003516000, 3973199733702, 1315127806109964, 435307304984359842, 144086718370405104000, 47692703776013660006262, 15786284949767213115362604]$ |
$342$ |
$[342, 110124, 36255762, 12003516000, 3973199733702, 1315127806109964, 435307304984359842, 144086718370405104000, 47692703776013660006262, 15786284949767213115362604]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-34}) \) |
$C_2$ |
simple |
| 1.331.l |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 11 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$343$ |
$[343, 110103, 36255100, 12003539163, 3973199794753, 1315127793848400, 435307305106244683, 144086718374349322803, 47692703775915277636900, 15786284949766730375886903]$ |
$343$ |
$[343, 110103, 36255100, 12003539163, 3973199794753, 1315127793848400, 435307305106244683, 144086718374349322803, 47692703775915277636900, 15786284949766730375886903]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1203}) \) |
$C_2$ |
simple |
| 1.331.m |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 12 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$344$ |
$[344, 110080, 36254504, 12003563520, 3973199773304, 1315127782059520, 435307305274287944, 144086718377339412480, 47692703775805177942424, 15786284949766900825792000]$ |
$344$ |
$[344, 110080, 36254504, 12003563520, 3973199773304, 1315127782059520, 435307305274287944, 144086718377339412480, 47692703775805177942424, 15786284949766900825792000]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-295}) \) |
$C_2$ |
simple |
| 1.331.n |
$1$ |
$\F_{331}$ |
$331$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 13 x + 331 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$345$ |
$[345, 110055, 36253980, 12003588795, 3973199667375, 1315127771107920, 435307305482987205, 144086718379187747955, 47692703775690483737220, 15786284949767729124366375]$ |
$345$ |
$[345, 110055, 36253980, 12003588795, 3973199667375, 1315127771107920, 435307305482987205, 144086718379187747955, 47692703775690483737220, 15786284949767729124366375]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1155}) \) |
$C_2$ |
simple |