| 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 |
| 1.379.abm |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$342$ |
$[342, 142956, 54428274, 20632553568, 7819804733382, 2963706931108044, 1123244937134866818, 425709831208239059328, 161344026025336511721846, 61149385863491333256557676]$ |
$342$ |
$[342, 142956, 54428274, 20632553568, 7819804733382, 2963706931108044, 1123244937134866818, 425709831208239059328, 161344026025336511721846, 61149385863491333256557676]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.379.abl |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$343$ |
$[343, 143031, 54431356, 20632650843, 7819807347793, 2963706993518544, 1123244938480409227, 425709831234440372403, 161344026025788338281444, 61149385863497802943378551]$ |
$343$ |
$[343, 143031, 54431356, 20632650843, 7819807347793, 2963706993518544, 1123244938480409227, 425709831234440372403, 161344026025788338281444, 61149385863497802943378551]$ |
$3$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.379.abk |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$344$ |
$[344, 143104, 54434216, 20632734720, 7819809369464, 2963707034439424, 1123244939152152776, 425709831241838407680, 161344026025766213982104, 61149385863493433188443904]$ |
$344$ |
$[344, 143104, 54434216, 20632734720, 7819809369464, 2963707034439424, 1123244939152152776, 425709831241838407680, 161344026025766213982104, 61149385863493433188443904]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-55}) \) |
$C_2$ |
simple |
| 1.379.abj |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$345$ |
$[345, 143175, 54436860, 20632806075, 7819810866975, 2963707057717200, 1123244939323202565, 425709831237055410675, 161344026025492720417380, 61149385863484926369054375]$ |
$345$ |
$[345, 143175, 54436860, 20632806075, 7819810866975, 2963707057717200, 1123244939323202565, 425709831237055410675, 161344026025492720417380, 61149385863484926369054375]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-291}) \) |
$C_2$ |
simple |
| 1.379.abi |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$346$ |
$[346, 143244, 54439294, 20632865760, 7819811904586, 2963707066786284, 1123244939138903374, 425709831225233543040, 161344026025124148508666, 61149385863476401605067404]$ |
$346$ |
$[346, 143244, 54439294, 20632865760, 7819811904586, 2963707066786284, 1123244939138903374, 425709831225233543040, 161344026025124148508666, 61149385863476401605067404]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \) |
$C_2$ |
simple |
| 1.379.abh |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$347$ |
$[347, 143311, 54441524, 20632914603, 7819812542357, 2963707064694544, 1123244938719698183, 425709831210258328083, 161344026024764189247596, 61149385863470093320905151]$ |
$347$ |
$[347, 143311, 54441524, 20632914603, 7819812542357, 2963707064694544, 1123244938719698183, 425709831210258328083, 161344026024764189247596, 61149385863470093320905151]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-427}) \) |
$C_2$ |
simple |
| 1.379.abg |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$348$ |
$[348, 143376, 54443556, 20632953408, 7819812836268, 2963707054128144, 1123244938163810292, 425709831194959573248, 161344026024475629883644, 61149385863466912373586576]$ |
$348$ |
$[348, 143376, 54443556, 20632953408, 7819812836268, 2963707054128144, 1123244938163810292, 425709831194959573248, 161344026024475629883644, 61149385863466912373586576]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
simple |
| 1.379.abf |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$349$ |
$[349, 143439, 54445396, 20632982955, 7819812838339, 2963707037435664, 1123244937549754081, 425709831181291160595, 161344026024290254430284, 61149385863466889346537279]$ |
$349$ |
$[349, 143439, 54445396, 20632982955, 7819812838339, 2963707037435664, 1123244937549754081, 425709831181291160595, 161344026024290254430284, 61149385863466889346537279]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-555}) \) |
$C_2$ |
simple |
| 1.379.abe |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 30 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$350$ |
$[350, 143500, 54447050, 20633004000, 7819812596750, 2963707016651500, 1123244936938679450, 425709831170491056000, 161344026024217135025150, 61149385863469517663087500]$ |
$350$ |
$[350, 143500, 54447050, 20633004000, 7819812596750, 2963707016651500, 1123244936938679450, 425709831170491056000, 161344026024217135025150, 61149385863469517663087500]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-154}) \) |
$C_2$ |
simple |
| 1.379.abd |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$351$ |
$[351, 143559, 54448524, 20633017275, 7819812155961, 2963706993518544, 1123244936376554979, 425709831163222847475, 161344026024249488704596, 61149385863474012349290279]$ |
$351$ |
$[351, 143559, 54448524, 20633017275, 7819812155961, 2963706993518544, 1123244936376554979, 425709831163222847475, 161344026024249488704596, 61149385863474012349290279]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.379.abc |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$352$ |
$[352, 143616, 54449824, 20633023488, 7819811556832, 2963706969510144, 1123244935896194848, 425709831159700082688, 161344026024370262540896, 61149385863479498569349376]$ |
$352$ |
$[352, 143616, 54449824, 20633023488, 7819811556832, 2963706969510144, 1123244935896194848, 425709831159700082688, 161344026024370262540896, 61149385863479498569349376]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-183}) \) |
$C_2$ |
simple |
| 1.379.abb |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$353$ |
$[353, 143671, 54450956, 20633023323, 7819810836743, 2963706945851344, 1123244935519134557, 425709831159794635443, 161344026024556598841044, 61149385863485142464911351]$ |
$353$ |
$[353, 143671, 54450956, 20633023323, 7819810836743, 2963706945851344, 1123244935519134557, 425709831159794635443, 161344026024556598841044, 61149385863485142464911351]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-787}) \) |
$C_2$ |
simple |
| 1.379.aba |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$354$ |
$[354, 143724, 54451926, 20633017440, 7819810029714, 2963706923539404, 1123244935257360486, 425709831163130290560, 161344026024783321219714, 61149385863490235348119404]$ |
$354$ |
$[354, 143724, 54451926, 20633017440, 7819810029714, 2963706923539404, 1123244935257360486, 425709831163130290560, 161344026024783321219714, 61149385863490235348119404]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-210}) \) |
$C_2$ |
simple |
| 1.379.az |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$355$ |
$[355, 143775, 54452740, 20633006475, 7819809166525, 2963706903363600, 1123244935114898335, 425709831169162696275, 161344026025025571835420, 61149385863494240924019375]$ |
$355$ |
$[355, 143775, 54452740, 20633006475, 7819809166525, 2963706903363600, 1123244935114898335, 425709831169162696275, 161344026025025571835420, 61149385863494240924019375]$ |
$9$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |
| 1.379.ay |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$356$ |
$[356, 143824, 54453404, 20632991040, 7819808274836, 2963706885924304, 1123244935089265484, 425709831177246792960, 161344026025260719918276, 61149385863496813947021904]$ |
$356$ |
$[356, 143824, 54453404, 20632991040, 7819808274836, 2963706885924304, 1123244935089265484, 425709831177246792960, 161344026025260719918276, 61149385863496813947021904]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-235}) \) |
$C_2$ |
simple |
| 1.379.ax |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$357$ |
$[357, 143871, 54453924, 20632971723, 7819807379307, 2963706871651344, 1123244935172792313, 425709831186692786643, 161344026025469651919996, 61149385863497797545030351]$ |
$357$ |
$[357, 143871, 54453924, 20632971723, 7819807379307, 2963706871651344, 1123244935172792313, 425709831186692786643, 161344026025469651919996, 61149385863497797545030351]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-987}) \) |
$C_2$ |
simple |
| 1.379.aw |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$358$ |
$[358, 143916, 54454306, 20632949088, 7819806501718, 2963706860821644, 1123244935353817522, 425709831196811695488, 161344026025637544181894, 61149385863497205369912876]$ |
$358$ |
$[358, 143916, 54454306, 20632949088, 7819806501718, 2963706860821644, 1123244935353817522, 425709831196811695488, 161344026025637544181894, 61149385863497205369912876]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-258}) \) |
$C_2$ |
simple |
| 1.379.av |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$359$ |
$[359, 143959, 54454556, 20632923675, 7819805661089, 2963706853576144, 1123244935617762491, 425709831206951457075, 161344026025754209944644, 61149385863495193750600279]$ |
$359$ |
$[359, 143959, 54454556, 20632923675, 7819805661089, 2963706853576144, 1123244935617762491, 425709831206951457075, 161344026025754209944644, 61149385863495193750600279]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \) |
$C_2$ |
simple |
| 1.379.au |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$360$ |
$[360, 144000, 54454680, 20632896000, 7819804873800, 2963706849936000, 1123244935948089720, 425709831216524544000, 161344026025814103814440, 61149385863492028131600000]$ |
$360$ |
$[360, 144000, 54454680, 20632896000, 7819804873800, 2963706849936000, 1123244935948089720, 425709831216524544000, 161344026025814103814440, 61149385863492028131600000]$ |
$30$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-31}) \) |
$C_2$ |
simple |
| 1.379.at |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$361$ |
$[361, 144039, 54454684, 20632866555, 7819804153711, 2963706849818064, 1123244936327150389, 425709831225027994995, 161344026025816058453956, 61149385863488047271502279]$ |
$361$ |
$[361, 144039, 54454684, 20632866555, 7819804153711, 2963706849818064, 1123244936327150389, 425709831225027994995, 161344026025816058453956, 61149385863488047271502279]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1155}) \) |
$C_2$ |
simple |
| 1.379.as |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$362$ |
$[362, 144076, 54454574, 20632835808, 7819803512282, 2963706853049644, 1123244936736926078, 425709831232056728448, 161344026025762820283146, 61149385863483627949488076]$ |
$362$ |
$[362, 144076, 54454574, 20632835808, 7819803512282, 2963706853049644, 1123244936736926078, 425709831232056728448, 161344026025762820283146, 61149385863483627949488076]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-298}) \) |
$C_2$ |
simple |
| 1.379.ar |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$363$ |
$[363, 144111, 54454356, 20632804203, 7819802958693, 2963706859382544, 1123244937159669687, 425709831237310964883, 161344026025660443354444, 61149385863479152279301151]$ |
$363$ |
$[363, 144111, 54454356, 20632804203, 7819802958693, 2963706859382544, 1123244937159669687, 425709831237310964883, 161344026025660443354444, 61149385863479152279301151]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1227}) \) |
$C_2$ |
simple |
| 1.379.aq |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$364$ |
$[364, 144144, 54454036, 20632772160, 7819802499964, 2963706868506384, 1123244937578450596, 425709831240598544640, 161344026025517593309324, 61149385863474979155989904]$ |
$364$ |
$[364, 144144, 54454036, 20632772160, 7819802499964, 2963706868506384, 1123244937578450596, 425709831240598544640, 161344026025517593309324, 61149385863474979155989904]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \) |
$C_2$ |
simple |
| 1.379.ap |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$365$ |
$[365, 144175, 54453620, 20632740075, 7819802141075, 2963706880061200, 1123244937977609105, 425709831241832886675, 161344026025344806428460, 61149385863471420857329375]$ |
$365$ |
$[365, 144175, 54453620, 20632740075, 7819802141075, 2963706880061200, 1123244937977609105, 425709831241832886675, 161344026025344806428460, 61149385863471420857329375]$ |
$9$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1291}) \) |
$C_2$ |
simple |
| 1.379.ao |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$366$ |
$[366, 144204, 54453114, 20632708320, 7819801885086, 2963706893649324, 1123244938343125194, 425709831241027294080, 161344026025153742255886, 61149385863468725385571404]$ |
$366$ |
$[366, 144204, 54453114, 20632708320, 7819801885086, 2963706893649324, 1123244938343125194, 425709831241027294080, 161344026025153742255886, 61149385863468725385571404]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-330}) \) |
$C_2$ |
simple |
| 1.379.an |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$367$ |
$[367, 144231, 54452524, 20632677243, 7819801733257, 2963706908846544, 1123244938662906643, 425709831238286271603, 161344026024956462108596, 61149385863467064762412551]$ |
$367$ |
$[367, 144231, 54452524, 20632677243, 7819801733257, 2963706908846544, 1123244938662906643, 425709831238286271603, 161344026024956462108596, 61149385863467064762412551]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1347}) \) |
$C_2$ |
simple |
| 1.379.am |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$368$ |
$[368, 144256, 54451856, 20632647168, 7819801685168, 2963706925212544, 1123244938927001552, 425709831233794480128, 161344026024764759976944, 61149385863466529177186176]$ |
$368$ |
$[368, 144256, 54451856, 20632647168, 7819801685168, 2963706925212544, 1123244938927001552, 425709831233794480128, 161344026024764759976944, 61149385863466529177186176]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$C_2$ |
simple |
| 1.379.al |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$369$ |
$[369, 144279, 54451116, 20632618395, 7819801738839, 2963706942300624, 1123244939127740301, 425709831227803912755, 161344026024589566878004, 61149385863467126631648279]$ |
$369$ |
$[369, 144279, 54451116, 20632618395, 7819801738839, 2963706942300624, 1123244939127740301, 425709831227803912755, 161344026024589566878004, 61149385863467126631648279]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-155}) \) |
$C_2$ |
simple |
| 1.379.ak |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$370$ |
$[370, 144300, 54450310, 20632591200, 7819801890850, 2963706959666700, 1123244939259811990, 425709831220619836800, 161344026024440444643730, 61149385863468787520707500]$ |
$370$ |
$[370, 144300, 54450310, 20632591200, 7819801890850, 2963706959666700, 1123244939259811990, 425709831220619836800, 161344026024440444643730, 61149385863468787520707500]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-354}) \) |
$C_2$ |
simple |
| 1.379.aj |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$371$ |
$[371, 144319, 54449444, 20632565835, 7819802136461, 2963706976877584, 1123244939320280399, 425709831212586005715, 161344026024325180408316, 61149385863471373433419279]$ |
$371$ |
$[371, 144319, 54449444, 20632565835, 7819802136461, 2963706976877584, 1123244939320280399, 425709831212586005715, 161344026024325180408316, 61149385863471373433419279]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1435}) \) |
$C_2$ |
simple |
| 1.379.ai |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$372$ |
$[372, 144336, 54448524, 20632542528, 7819802469732, 2963706993518544, 1123244939308544508, 425709831204069604608, 161344026024249488704596, 61149385863474689348893776]$ |
$372$ |
$[372, 144336, 54448524, 20632542528, 7819802469732, 2963706993518544, 1123244939308544508, 425709831204069604608, 161344026024249488704596, 61149385863474689348893776]$ |
$18$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.379.ah |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$373$ |
$[373, 144351, 54447556, 20632521483, 7819802883643, 2963707009200144, 1123244939226248617, 425709831195446352723, 161344026024216824087644, 61149385863478498333827951]$ |
$373$ |
$[373, 144351, 54447556, 20632521483, 7819802883643, 2963707009200144, 1123244939226248617, 425709831195446352723, 161344026024216824087644, 61149385863478498333827951]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \) |
$C_2$ |
simple |
| 1.379.ag |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$374$ |
$[374, 144364, 54446546, 20632502880, 7819803370214, 2963707023564364, 1123244939077147106, 425709831187086145920, 161344026024228303574934, 61149385863482537818535404]$ |
$374$ |
$[374, 144364, 54446546, 20632502880, 7819803370214, 2963707023564364, 1123244939077147106, 425709831187086145920, 161344026024228303574934, 61149385863482537818535404]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-370}) \) |
$C_2$ |
simple |
| 1.379.af |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$375$ |
$[375, 144375, 54445500, 20632486875, 7819803920625, 2963707036290000, 1123244938866928875, 425709831179339581875, 161344026024282734926500, 61149385863486536532984375]$ |
$375$ |
$[375, 144375, 54445500, 20632486875, 7819803920625, 2963707036290000, 1123244938866928875, 425709831179339581875, 161344026024282734926500, 61149385863486536532984375]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1491}) \) |
$C_2$ |
simple |
| 1.379.ae |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$376$ |
$[376, 144384, 54444424, 20632473600, 7819804525336, 2963707047097344, 1123244938603006504, 425709831172525670400, 161344026024376743885496, 61149385863490231219835904]$ |
$376$ |
$[376, 144384, 54444424, 20632473600, 7819804525336, 2963707047097344, 1123244938603006504, 425709831172525670400, 161344026024376743885496, 61149385863490231219835904]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
simple |
| 1.379.ad |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$377$ |
$[377, 144391, 54443324, 20632463163, 7819805174207, 2963707055752144, 1123244938294275173, 425709831166920990963, 161344026024504990959396, 61149385863493382304171751]$ |
$377$ |
$[377, 144391, 54443324, 20632463163, 7819805174207, 2963707055752144, 1123244938294275173, 425709831166920990963, 161344026024504990959396, 61149385863493382304171751]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1507}) \) |
$C_2$ |
simple |
| 1.379.ac |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$378$ |
$[378, 144396, 54442206, 20632455648, 7819805856618, 2963707062068844, 1123244937950846382, 425709831162750519168, 161344026024660466144794, 61149385863495787785886476]$ |
$378$ |
$[378, 144396, 54442206, 20632455648, 7819805856618, 2963707062068844, 1123244937950846382, 425709831162750519168, 161344026024660466144794, 61149385863495787785886476]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-42}) \) |
$C_2$ |
simple |
| 1.379.ab |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$379$ |
$[379, 144399, 54441076, 20632451115, 7819806561589, 2963707065913104, 1123244937583761511, 425709831160180303635, 161344026024834848184364, 61149385863497294726961279]$ |
$379$ |
$[379, 144399, 54441076, 20632451115, 7819806561589, 2963707065913104, 1123244937583761511, 425709831160180303635, 161344026024834848184364, 61149385863497294726961279]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1515}) \) |
$C_2$ |
simple |
| 1.379.a |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 + 379 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$380$ |
$[380, 144400, 54439940, 20632449600, 7819807277900, 2963707067203600, 1123244937204690260, 425709831159312134400, 161344026025018913493020, 61149385863497807828410000]$ |
$380$ |
$[380, 144400, 54439940, 20632449600, 7819807277900, 2963707067203600, 1123244937204690260, 425709831159312134400, 161344026025018913493020, 61149385863497807828410000]$ |
$12$ |
$0$ |
$1$ |
$1$ |
$2$ |
\(\Q(\sqrt{-379}) \) |
$C_2$ |
simple |
| 1.379.b |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$381$ |
$[381, 144399, 54438804, 20632451115, 7819807994211, 2963707065913104, 1123244936825619009, 425709831160180303635, 161344026025202978801676, 61149385863497294726961279]$ |
$381$ |
$[381, 144399, 54438804, 20632451115, 7819807994211, 2963707065913104, 1123244936825619009, 425709831160180303635, 161344026025202978801676, 61149385863497294726961279]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1515}) \) |
$C_2$ |
simple |
| 1.379.c |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$382$ |
$[382, 144396, 54437674, 20632455648, 7819808699182, 2963707062068844, 1123244936458534138, 425709831162750519168, 161344026025377360841246, 61149385863495787785886476]$ |
$382$ |
$[382, 144396, 54437674, 20632455648, 7819808699182, 2963707062068844, 1123244936458534138, 425709831162750519168, 161344026025377360841246, 61149385863495787785886476]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-42}) \) |
$C_2$ |
simple |
| 1.379.d |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$383$ |
$[383, 144391, 54436556, 20632463163, 7819809381593, 2963707055752144, 1123244936115105347, 425709831166920990963, 161344026025532836026644, 61149385863493382304171751]$ |
$383$ |
$[383, 144391, 54436556, 20632463163, 7819809381593, 2963707055752144, 1123244936115105347, 425709831166920990963, 161344026025532836026644, 61149385863493382304171751]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1507}) \) |
$C_2$ |
simple |
| 1.379.e |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$384$ |
$[384, 144384, 54435456, 20632473600, 7819810030464, 2963707047097344, 1123244935806374016, 425709831172525670400, 161344026025661083100544, 61149385863490231219835904]$ |
$384$ |
$[384, 144384, 54435456, 20632473600, 7819810030464, 2963707047097344, 1123244935806374016, 425709831172525670400, 161344026025661083100544, 61149385863490231219835904]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
simple |
| 1.379.f |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$385$ |
$[385, 144375, 54434380, 20632486875, 7819810635175, 2963707036290000, 1123244935542451645, 425709831179339581875, 161344026025755092059540, 61149385863486536532984375]$ |
$385$ |
$[385, 144375, 54434380, 20632486875, 7819810635175, 2963707036290000, 1123244935542451645, 425709831179339581875, 161344026025755092059540, 61149385863486536532984375]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1491}) \) |
$C_2$ |
simple |
| 1.379.g |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$386$ |
$[386, 144364, 54433334, 20632502880, 7819811185586, 2963707023564364, 1123244935332233414, 425709831187086145920, 161344026025809523411106, 61149385863482537818535404]$ |
$386$ |
$[386, 144364, 54433334, 20632502880, 7819811185586, 2963707023564364, 1123244935332233414, 425709831187086145920, 161344026025809523411106, 61149385863482537818535404]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-370}) \) |
$C_2$ |
simple |
| 1.379.h |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$387$ |
$[387, 144351, 54432324, 20632521483, 7819811672157, 2963707009200144, 1123244935183131903, 425709831195446352723, 161344026025821002898396, 61149385863478498333827951]$ |
$387$ |
$[387, 144351, 54432324, 20632521483, 7819811672157, 2963707009200144, 1123244935183131903, 425709831195446352723, 161344026025821002898396, 61149385863478498333827951]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \) |
$C_2$ |
simple |
| 1.379.i |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$388$ |
$[388, 144336, 54431356, 20632542528, 7819812086068, 2963706993518544, 1123244935100836012, 425709831204069604608, 161344026025788338281444, 61149385863474689348893776]$ |
$388$ |
$[388, 144336, 54431356, 20632542528, 7819812086068, 2963706993518544, 1123244935100836012, 425709831204069604608, 161344026025788338281444, 61149385863474689348893776]$ |
$18$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.379.j |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$389$ |
$[389, 144319, 54430436, 20632565835, 7819812419339, 2963706976877584, 1123244935089100121, 425709831212586005715, 161344026025712646577724, 61149385863471373433419279]$ |
$389$ |
$[389, 144319, 54430436, 20632565835, 7819812419339, 2963706976877584, 1123244935089100121, 425709831212586005715, 161344026025712646577724, 61149385863471373433419279]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1435}) \) |
$C_2$ |
simple |
| 1.379.k |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 10 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$390$ |
$[390, 144300, 54429570, 20632591200, 7819812664950, 2963706959666700, 1123244935149568530, 425709831220619836800, 161344026025597382342310, 61149385863468787520707500]$ |
$390$ |
$[390, 144300, 54429570, 20632591200, 7819812664950, 2963706959666700, 1123244935149568530, 425709831220619836800, 161344026025597382342310, 61149385863468787520707500]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-354}) \) |
$C_2$ |
simple |
| 1.379.l |
$1$ |
$\F_{379}$ |
$379$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 11 x + 379 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$391$ |
$[391, 144279, 54428764, 20632618395, 7819812816961, 2963706942300624, 1123244935281640219, 425709831227803912755, 161344026025448260108036, 61149385863467126631648279]$ |
$391$ |
$[391, 144279, 54428764, 20632618395, 7819812816961, 2963706942300624, 1123244935281640219, 425709831227803912755, 161344026025448260108036, 61149385863467126631648279]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-155}) \) |
$C_2$ |
simple |