| 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 |
| 1.337.abk |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$302$ |
$[302, 112948, 38262494, 12897758016, 4346595992222, 1464803593476916, 493638820419891182, 166356282569796304128, 56062067226025978063118, 18892916655141166322918068]$ |
$302$ |
$[302, 112948, 38262494, 12897758016, 4346595992222, 1464803593476916, 493638820419891182, 166356282569796304128, 56062067226025978063118, 18892916655141166322918068]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \) |
$C_2$ |
simple |
| 1.337.abj |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$303$ |
$[303, 113019, 38265264, 12897841299, 4346598133383, 1464803642644416, 493638821447904519, 166356282589468498275, 56062067226367787312688, 18892916655146402127464139]$ |
$303$ |
$[303, 113019, 38265264, 12897841299, 4346598133383, 1464803642644416, 493638821447904519, 166356282589468498275, 56062067226367787312688, 18892916655146402127464139]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
simple |
| 1.337.abi |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$304$ |
$[304, 113088, 38267824, 12897912576, 4346599770544, 1464803674439616, 493638821956772656, 166356282595288194048, 56062067226374219161648, 18892916655144219773842368]$ |
$304$ |
$[304, 113088, 38267824, 12897912576, 4346599770544, 1464803674439616, 493638821956772656, 166356282595288194048, 56062067226374219161648, 18892916655144219773842368]$ |
$8$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.337.abh |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$305$ |
$[305, 113155, 38270180, 12897972675, 4346600965025, 1464803692119040, 493638822085412945, 166356282592299651075, 56062067226206476525220, 18892916655139245174962275]$ |
$305$ |
$[305, 113155, 38270180, 12897972675, 4346600965025, 1464803692119040, 493638822085412945, 166356282592299651075, 56062067226206476525220, 18892916655139245174962275]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-259}) \) |
$C_2$ |
simple |
| 1.337.abg |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$306$ |
$[306, 113220, 38272338, 12898022400, 4346601774066, 1464803698571460, 493638821949323538, 166356282584365977600, 56062067225975680706226, 18892916655134254868492100]$ |
$306$ |
$[306, 113220, 38272338, 12898022400, 4346601774066, 1464803698571460, 493638821949323538, 166356282584365977600, 56062067225975680706226, 18892916655134254868492100]$ |
$9$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.337.abf |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$307$ |
$[307, 113283, 38274304, 12898062531, 4346602250947, 1464803696342016, 493638821643129427, 166356282574357025283, 56062067225753743875328, 18892916655130700151260643]$ |
$307$ |
$[307, 113283, 38274304, 12898062531, 4346602250947, 1464803696342016, 493638821643129427, 166356282574357025283, 56062067225753743875328, 18892916655130700151260643]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \) |
$C_2$ |
simple |
| 1.337.abe |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 30 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$308$ |
$[308, 113344, 38276084, 12898093824, 4346602445108, 1464803687655616, 493638821242962164, 166356282564317260800, 56062067225582569536308, 18892916655129122566147264]$ |
$308$ |
$[308, 113344, 38276084, 12898093824, 4346602445108, 1464803687655616, 493638821242962164, 166356282564317260800, 56062067225582569536308, 18892916655129122566147264]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$C_2$ |
simple |
| 1.337.abd |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$309$ |
$[309, 113403, 38277684, 12898117011, 4346602402269, 1464803674439616, 493638820808678301, 166356282555614924643, 56062067225481757441908, 18892916655129477121460043]$ |
$309$ |
$[309, 113403, 38277684, 12898117011, 4346602402269, 1464803674439616, 493638820808678301, 166356282555614924643, 56062067225481757441908, 18892916655129477121460043]$ |
$5$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.337.abc |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$310$ |
$[310, 113460, 38279110, 12898132800, 4346602164550, 1464803658345780, 493638820385921590, 166356282549073747200, 56062067225454977813590, 18892916655131377899525300]$ |
$310$ |
$[310, 113460, 38279110, 12898132800, 4346602164550, 1464803658345780, 493638820385921590, 166356282549073747200, 56062067225454977813590, 18892916655131377899525300]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-141}) \) |
$C_2$ |
simple |
| 1.337.abb |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$311$ |
$[311, 113515, 38280368, 12898141875, 4346601770591, 1464803640771520, 493638820008033983, 166356282545088451875, 56062067225495168469296, 18892916655134279102242075]$ |
$311$ |
$[311, 113515, 38280368, 12898141875, 4346601770591, 1464803640771520, 493638820008033983, 166356282545088451875, 56062067225495168469296, 18892916655134279102242075]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-619}) \) |
$C_2$ |
simple |
| 1.337.aba |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$312$ |
$[312, 113568, 38281464, 12898144896, 4346601255672, 1464803622880416, 493638819697820472, 166356282543725234688, 56062067225588697576888, 18892916655137603083063968]$ |
$312$ |
$[312, 113568, 38281464, 12898144896, 4346601255672, 1464803622880416, 493638819697820472, 166356282543725234688, 56062067225588697576888, 18892916655137603083063968]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-42}) \) |
$C_2$ |
simple |
| 1.337.az |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$313$ |
$[313, 113619, 38282404, 12898142499, 4346600651833, 1464803605622016, 493638819469172809, 166356282544808369475, 56062067225718624227428, 18892916655140825523629139]$ |
$313$ |
$[313, 113619, 38282404, 12898142499, 4346600651833, 1464803605622016, 493638819469172809, 166356282544808369475, 56062067225718624227428, 18892916655140825523629139]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-723}) \) |
$C_2$ |
simple |
| 1.337.ay |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$314$ |
$[314, 113668, 38283194, 12898135296, 4346599987994, 1464803589750916, 493638819328557146, 166356282547994047488, 56062067225867178861818, 18892916655143526625438468]$ |
$314$ |
$[314, 113668, 38283194, 12898135296, 4346599987994, 1464803589750916, 493638819328557146, 166356282547994047488, 56062067225867178861818, 18892916655143526625438468]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-193}) \) |
$C_2$ |
simple |
| 1.337.ax |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$315$ |
$[315, 113715, 38283840, 12898123875, 4346599290075, 1464803575845120, 493638819276370635, 166356282552832519875, 56062067226017575786560, 18892916655145415998953075]$ |
$315$ |
$[315, 113715, 38283840, 12898123875, 4346599290075, 1464803575845120, 493638819276370635, 166356282552832519875, 56062067226017575786560, 18892916655145415998953075]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \) |
$C_2$ |
simple |
| 1.337.aw |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$316$ |
$[316, 113760, 38284348, 12898108800, 4346598581116, 1464803564323680, 493638819308172028, 166356282558819571200, 56062067226155260579516, 18892916655146337840616800]$ |
$316$ |
$[316, 113760, 38284348, 12898108800, 4346598581116, 1464803564323680, 493638819308172028, 166356282558819571200, 56062067226155260579516, 18892916655146337840616800]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-6}) \) |
$C_2$ |
simple |
| 1.337.av |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$317$ |
$[317, 113803, 38284724, 12898090611, 4346597881397, 1464803555463616, 493638819415791317, 166356282565438311843, 56062067226268686114548, 18892916655146261988978043]$ |
$317$ |
$[317, 113803, 38284724, 12898090611, 4346597881397, 1464803555463616, 493638819415791317, 166356282565438311843, 56062067226268686114548, 18892916655146261988978043]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-907}) \) |
$C_2$ |
simple |
| 1.337.au |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$318$ |
$[318, 113844, 38284974, 12898069824, 4346597208558, 1464803549416116, 493638819588323454, 166356282572192236800, 56062067226349702224798, 18892916655145265540659764]$ |
$318$ |
$[318, 113844, 38284974, 12898069824, 4346597208558, 1464803549416116, 493638819588323454, 166356282572192236800, 56062067226349702224798, 18892916655145265540659764]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-237}) \) |
$C_2$ |
simple |
| 1.337.at |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$319$ |
$[319, 113883, 38285104, 12898046931, 4346596577719, 1464803546222016, 493638819813011191, 166356282578630458083, 56062067226393635678128, 18892916655143508881777643]$ |
$319$ |
$[319, 113883, 38285104, 12898046931, 4346596577719, 1464803546222016, 493638819813011191, 166356282578630458083, 56062067226393635678128, 18892916655143508881777643]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-987}) \) |
$C_2$ |
simple |
| 1.337.as |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$320$ |
$[320, 113920, 38285120, 12898022400, 4346596001600, 1464803545826560, 493638820076022080, 166356282584365977600, 56062067226399129154880, 18892916655141209246905600]$ |
$320$ |
$[320, 113920, 38285120, 12898022400, 4346596001600, 1464803545826560, 493638820076022080, 166356282584365977600, 56062067226399129154880, 18892916655141209246905600]$ |
$16$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.337.ar |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$321$ |
$[321, 113955, 38285028, 12897996675, 4346595490641, 1464803548093440, 493638820363124673, 166356282589087827075, 56062067226367800297636, 18892916655138614252206275]$ |
$321$ |
$[321, 113955, 38285028, 12897996675, 4346595490641, 1464803548093440, 493638820363124673, 166356282589087827075, 56062067226367800297636, 18892916655138614252206275]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1059}) \) |
$C_2$ |
simple |
| 1.337.aq |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$322$ |
$[322, 113988, 38284834, 12897970176, 4346595053122, 1464803552818116, 493638820660268962, 166356282592567861248, 56062067226303774645058, 18892916655135977258252868]$ |
$322$ |
$[322, 113988, 38284834, 12897970176, 4346595053122, 1464803552818116, 493638820660268962, 166356282592567861248, 56062067226303774645058, 18892916655135977258252868]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-273}) \) |
$C_2$ |
simple |
| 1.337.ap |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$323$ |
$[323, 114019, 38284544, 12897943299, 4346594695283, 1464803559740416, 493638820954076099, 166356282594662950275, 56062067226213139367168, 18892916655133535897739139]$ |
$323$ |
$[323, 114019, 38284544, 12897943299, 4346594695283, 1464803559740416, 493638820954076099, 166356282594662950275, 56062067226213139367168, 18892916655133535897739139]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1123}) \) |
$C_2$ |
simple |
| 1.337.ao |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$324$ |
$[324, 114048, 38284164, 12897916416, 4346594421444, 1464803568556416, 493638821232242436, 166356282595313276928, 56062067226103358187588, 18892916655131494650077568]$ |
$324$ |
$[324, 114048, 38284164, 12897916416, 4346594421444, 1464803568556416, 493638821232242436, 166356282595313276928, 56062067226103358187588, 18892916655131494650077568]$ |
$21$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.337.an |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$325$ |
$[325, 114075, 38283700, 12897889875, 4346594234125, 1464803578929600, 493638821483862925, 166356282594537403875, 56062067225982681709300, 18892916655130011955192875]$ |
$325$ |
$[325, 114075, 38283700, 12897889875, 4346594234125, 1464803578929600, 493638821483862925, 166356282594537403875, 56062067225982681709300, 18892916655130011955192875]$ |
$15$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
simple |
| 1.337.am |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$326$ |
$[326, 114100, 38283158, 12897864000, 4346594134166, 1464803590501300, 493638821699678918, 166356282592424736000, 56062067225859581554406, 18892916655129192029000500]$ |
$326$ |
$[326, 114100, 38283158, 12897864000, 4346594134166, 1464803590501300, 493638821699678918, 166356282592424736000, 56062067225859581554406, 18892916655129192029000500]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-301}) \) |
$C_2$ |
simple |
| 1.337.al |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$327$ |
$[327, 114123, 38282544, 12897839091, 4346594120847, 1464803602900416, 493638821872255407, 166356282589125962403, 56062067225742231285168, 18892916655129081269488443]$ |
$327$ |
$[327, 114123, 38282544, 12897839091, 4346594120847, 1464803602900416, 493638821872255407, 166356282589125962403, 56062067225742231285168, 18892916655129081269488443]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1227}) \) |
$C_2$ |
simple |
| 1.337.ak |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$328$ |
$[328, 114144, 38281864, 12897815424, 4346594192008, 1464803615752416, 493638821996092744, 166356282584842022400, 56062067225638051993288, 18892916655129668921367264]$ |
$328$ |
$[328, 114144, 38281864, 12897815424, 4346594192008, 1464803615752416, 493638821996092744, 166356282584842022400, 56062067225638051993288, 18892916655129668921367264]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-78}) \) |
$C_2$ |
simple |
| 1.337.aj |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$329$ |
$[329, 114163, 38281124, 12897793251, 4346594344169, 1464803628687616, 493638822067677881, 166356282579812099523, 56062067225553335726948, 18892916655130891495288243]$ |
$329$ |
$[329, 114163, 38281124, 12897793251, 4346594344169, 1464803628687616, 493638822067677881, 166356282579812099523, 56062067225553335726948, 18892916655130891495288243]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1267}) \) |
$C_2$ |
simple |
| 1.337.ai |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$330$ |
$[330, 114180, 38280330, 12897772800, 4346594572650, 1464803641348740, 493638822085480170, 166356282574301107200, 56062067225492955570570, 18892916655132640311024900]$ |
$330$ |
$[330, 114180, 38280330, 12897772800, 4346594572650, 1464803641348740, 493638822085480170, 166356282574301107200, 56062067225492955570570, 18892916655132640311024900]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-321}) \) |
$C_2$ |
simple |
| 1.337.ah |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$331$ |
$[331, 114195, 38279488, 12897754275, 4346594871691, 1464803653397760, 493638822049896763, 166356282568587089475, 56062067225460167200576, 18892916655134771449139475]$ |
$331$ |
$[331, 114195, 38279488, 12897754275, 4346594871691, 1464803653397760, 493638822049896763, 166356282568587089475, 56062067225460167200576, 18892916655134771449139475]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1299}) \) |
$C_2$ |
simple |
| 1.337.ag |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$332$ |
$[332, 114208, 38278604, 12897737856, 4346595234572, 1464803664522016, 493638821963152652, 166356282562948919808, 56062067225456503111628, 18892916655137117348884768]$ |
$332$ |
$[332, 114208, 38278604, 12897737856, 4346595234572, 1464803664522016, 493638821963152652, 166356282562948919808, 56062067225456503111628, 18892916655137117348884768]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-82}) \) |
$C_2$ |
simple |
| 1.337.af |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$333$ |
$[333, 114219, 38277684, 12897723699, 4346595653733, 1464803674439616, 493638821829160389, 166356282557654640675, 56062067225481757441908, 18892916655139499277794139]$ |
$333$ |
$[333, 114219, 38277684, 12897723699, 4346595653733, 1464803674439616, 493638821829160389, 166356282557654640675, 56062067225481757441908, 18892916655139499277794139]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.337.ae |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$334$ |
$[334, 114228, 38276734, 12897711936, 4346596120894, 1464803682904116, 493638821653344526, 166356282552950746368, 56062067225534056422958, 18892916655141739916959668]$ |
$334$ |
$[334, 114228, 38276734, 12897711936, 4346596120894, 1464803682904116, 493638821653344526, 166356282552950746368, 56062067225534056422958, 18892916655141739916959668]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-37}) \) |
$C_2$ |
simple |
| 1.337.ad |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$335$ |
$[335, 114235, 38275760, 12897702675, 4346596627175, 1464803689708480, 493638821442435815, 166356282549052671075, 56062067225610006939440, 18892916655143675351761675]$ |
$335$ |
$[335, 114235, 38275760, 12897702675, 4346596627175, 1464803689708480, 493638821442435815, 166356282549052671075, 56062067225610006939440, 18892916655143675351761675]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1339}) \) |
$C_2$ |
simple |
| 1.337.ac |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$336$ |
$[336, 114240, 38274768, 12897696000, 4346597163216, 1464803694688320, 493638821204240208, 166356282546136704000, 56062067225704913506896, 18892916655145165827163200]$ |
$336$ |
$[336, 114240, 38274768, 12897696000, 4346597163216, 1464803694688320, 493638821204240208, 166356282546136704000, 56062067225704913506896, 18892916655145165827163200]$ |
$28$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \) |
$C_2$ |
simple |
| 1.337.ab |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$337$ |
$[337, 114243, 38273764, 12897691971, 4346597719297, 1464803697724416, 493638820947387697, 166356282544333512963, 56062067225813052161188, 18892916655146104715991843]$ |
$337$ |
$[337, 114243, 38273764, 12897691971, 4346597719297, 1464803697724416, 493638820947387697, 166356282544333512963, 56062067225813052161188, 18892916655146104715991843]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1347}) \) |
$C_2$ |
simple |
| 1.337.a |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 + 337 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$338$ |
$[338, 114244, 38272754, 12897690624, 4346598285458, 1464803698744516, 493638820681066034, 166356282543723417600, 56062067225927988301778, 18892916655146425254269764]$ |
$338$ |
$[338, 114244, 38272754, 12897690624, 4346598285458, 1464803698744516, 493638820681066034, 166356282543723417600, 56062067225927988301778, 18892916655146425254269764]$ |
$8$ |
$0$ |
$1$ |
$1$ |
$2$ |
\(\Q(\sqrt{-337}) \) |
$C_2$ |
simple |
| 1.337.b |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$339$ |
$[339, 114243, 38271744, 12897691971, 4346598851619, 1464803697724416, 493638820414744371, 166356282544333512963, 56062067226042924442368, 18892916655146104715991843]$ |
$339$ |
$[339, 114243, 38271744, 12897691971, 4346598851619, 1464803697724416, 493638820414744371, 166356282544333512963, 56062067226042924442368, 18892916655146104715991843]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1347}) \) |
$C_2$ |
simple |
| 1.337.c |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$340$ |
$[340, 114240, 38270740, 12897696000, 4346599407700, 1464803694688320, 493638820157891860, 166356282546136704000, 56062067226151063096660, 18892916655145165827163200]$ |
$340$ |
$[340, 114240, 38270740, 12897696000, 4346599407700, 1464803694688320, 493638820157891860, 166356282546136704000, 56062067226151063096660, 18892916655145165827163200]$ |
$28$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \) |
$C_2$ |
simple |
| 1.337.d |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$341$ |
$[341, 114235, 38269748, 12897702675, 4346599943741, 1464803689708480, 493638819919696253, 166356282549052671075, 56062067226245969664116, 18892916655143675351761675]$ |
$341$ |
$[341, 114235, 38269748, 12897702675, 4346599943741, 1464803689708480, 493638819919696253, 166356282549052671075, 56062067226245969664116, 18892916655143675351761675]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1339}) \) |
$C_2$ |
simple |
| 1.337.e |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$342$ |
$[342, 114228, 38268774, 12897711936, 4346600450022, 1464803682904116, 493638819708787542, 166356282552950746368, 56062067226321920180598, 18892916655141739916959668]$ |
$342$ |
$[342, 114228, 38268774, 12897711936, 4346600450022, 1464803682904116, 493638819708787542, 166356282552950746368, 56062067226321920180598, 18892916655141739916959668]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-37}) \) |
$C_2$ |
simple |
| 1.337.f |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$343$ |
$[343, 114219, 38267824, 12897723699, 4346600917183, 1464803674439616, 493638819532971679, 166356282557654640675, 56062067226374219161648, 18892916655139499277794139]$ |
$343$ |
$[343, 114219, 38267824, 12897723699, 4346600917183, 1464803674439616, 493638819532971679, 166356282557654640675, 56062067226374219161648, 18892916655139499277794139]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.337.g |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$344$ |
$[344, 114208, 38266904, 12897737856, 4346601336344, 1464803664522016, 493638819398979416, 166356282562948919808, 56062067226399473491928, 18892916655137117348884768]$ |
$344$ |
$[344, 114208, 38266904, 12897737856, 4346601336344, 1464803664522016, 493638819398979416, 166356282562948919808, 56062067226399473491928, 18892916655137117348884768]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-82}) \) |
$C_2$ |
simple |
| 1.337.h |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$345$ |
$[345, 114195, 38266020, 12897754275, 4346601699225, 1464803653397760, 493638819312235305, 166356282568587089475, 56062067226395809402980, 18892916655134771449139475]$ |
$345$ |
$[345, 114195, 38266020, 12897754275, 4346601699225, 1464803653397760, 493638819312235305, 166356282568587089475, 56062067226395809402980, 18892916655134771449139475]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1299}) \) |
$C_2$ |
simple |
| 1.337.i |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$346$ |
$[346, 114180, 38265178, 12897772800, 4346601998266, 1464803641348740, 493638819276651898, 166356282574301107200, 56062067226363021032986, 18892916655132640311024900]$ |
$346$ |
$[346, 114180, 38265178, 12897772800, 4346601998266, 1464803641348740, 493638819276651898, 166356282574301107200, 56062067226363021032986, 18892916655132640311024900]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-321}) \) |
$C_2$ |
simple |
| 1.337.j |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$347$ |
$[347, 114163, 38264384, 12897793251, 4346602226747, 1464803628687616, 493638819294454187, 166356282579812099523, 56062067226302640876608, 18892916655130891495288243]$ |
$347$ |
$[347, 114163, 38264384, 12897793251, 4346602226747, 1464803628687616, 493638819294454187, 166356282579812099523, 56062067226302640876608, 18892916655130891495288243]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1267}) \) |
$C_2$ |
simple |
| 1.337.k |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 10 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$348$ |
$[348, 114144, 38263644, 12897815424, 4346602378908, 1464803615752416, 493638819366039324, 166356282584842022400, 56062067226217924610268, 18892916655129668921367264]$ |
$348$ |
$[348, 114144, 38263644, 12897815424, 4346602378908, 1464803615752416, 493638819366039324, 166356282584842022400, 56062067226217924610268, 18892916655129668921367264]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-78}) \) |
$C_2$ |
simple |
| 1.337.l |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 11 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$349$ |
$[349, 114123, 38262964, 12897839091, 4346602450069, 1464803602900416, 493638819489876661, 166356282589125962403, 56062067226113745318388, 18892916655129081269488443]$ |
$349$ |
$[349, 114123, 38262964, 12897839091, 4346602450069, 1464803602900416, 493638819489876661, 166356282589125962403, 56062067226113745318388, 18892916655129081269488443]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1227}) \) |
$C_2$ |
simple |
| 1.337.m |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 12 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$350$ |
$[350, 114100, 38262350, 12897864000, 4346602436750, 1464803590501300, 493638819662453150, 166356282592424736000, 56062067225996395049150, 18892916655129192029000500]$ |
$350$ |
$[350, 114100, 38262350, 12897864000, 4346602436750, 1464803590501300, 493638819662453150, 166356282592424736000, 56062067225996395049150, 18892916655129192029000500]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-301}) \) |
$C_2$ |
simple |
| 1.337.n |
$1$ |
$\F_{337}$ |
$337$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 13 x + 337 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$351$ |
$[351, 114075, 38261808, 12897889875, 4346602336791, 1464803578929600, 493638819878269143, 166356282594537403875, 56062067225873294894256, 18892916655130011955192875]$ |
$351$ |
$[351, 114075, 38261808, 12897889875, 4346602336791, 1464803578929600, 493638819878269143, 166356282594537403875, 56062067225873294894256, 18892916655130011955192875]$ |
$15$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
simple |