| 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 |
| 1.625.aby |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
|
|
✓ |
✓ |
✓ |
✓ |
$( 1 - 25 x )^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$576$ |
$[576, 389376, 244109376, 152587109376, 95367412109376, 59604644287109376, 37252902972412109376, 23283064365081787109376, 14551915228359222412109376, 9094947017729091644287109376]$ |
$576$ |
$[576, 389376, 244109376, 152587109376, 95367412109376, 59604644287109376, 37252902972412109376, 23283064365081787109376, 14551915228359222412109376, 9094947017729091644287109376]$ |
$1$ |
$0$ |
$4$ |
$6$ |
$1$ |
\(\Q\) |
Trivial |
simple |
| 1.625.abx |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 49 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$577$ |
$[577, 389475, 244114852, 152587347075, 95367421115377, 59604644599372800, 37252902982572547777, 23283064365396690982275, 14551915228368607603662052, 9094947017729362333147159875]$ |
$577$ |
$[577, 389475, 244114852, 152587347075, 95367421115377, 59604644599372800, 37252902982572547777, 23283064365396690982275, 14551915228368607603662052, 9094947017729362333147159875]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |
| 1.625.abw |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 48 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$578$ |
$[578, 389572, 244120034, 152587560960, 95367428686658, 59604644839641412, 37252902989549408354, 23283064365583459000320, 14551915228373202202575938, 9094947017729464388086726852]$ |
$578$ |
$[578, 389572, 244120034, 152587560960, 95367428686658, 59604644839641412, 37252902989549408354, 23283064365583459000320, 14551915228373202202575938, 9094947017729464388086726852]$ |
$5$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.625.abv |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 47 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$579$ |
$[579, 389667, 244124928, 152587752195, 95367434945619, 59604645017244672, 37252902993920660163, 23283064365672975530115, 14551915228374480950985984, 9094947017729462191034941827]$ |
$579$ |
$[579, 389667, 244124928, 152587752195, 95367434945619, 59604645017244672, 37252902993920660163, 23283064365672975530115, 14551915228374480950985984, 9094947017729462191034941827]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-291}) \) |
$C_2$ |
simple |
| 1.625.abu |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 46 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$580$ |
$[580, 389760, 244129540, 152587921920, 95367440008900, 59604645140772480, 37252902996196534660, 23283064365691159357440, 14551915228373608972842820, 9094947017729403086003932800]$ |
$580$ |
$[580, 389760, 244129540, 152587921920, 95367440008900, 59604645140772480, 37252902996196534660, 23283064365691159357440, 14551915228373608972842820, 9094947017729403086003932800]$ |
$14$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-6}) \) |
$C_2$ |
simple |
| 1.625.abs |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 44 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$582$ |
$[582, 389940, 244137942, 152588201280, 95367446986902, 59604645256468020, 37252902996195123462, 23283064365595632764160, 14551915228368798291803622, 9094947017729237605826603700]$ |
$582$ |
$[582, 389940, 244137942, 152588201280, 95367446986902, 59604645256468020, 37252902996195123462, 23283064365595632764160, 14551915228368798291803622, 9094947017729237605826603700]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-141}) \) |
$C_2$ |
simple |
| 1.625.abr |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 43 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$583$ |
$[583, 390027, 244141744, 152588313075, 95367449107183, 59604645262421952, 37252902994644889519, 23283064365513675514275, 14551915228366034356399408, 9094947017729168033400237627]$ |
$583$ |
$[583, 390027, 244141744, 152588313075, 95367449107183, 59604645262421952, 37252902994644889519, 23283064365513675514275, 14551915228366034356399408, 9094947017729168033400237627]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-651}) \) |
$C_2$ |
simple |
| 1.625.abq |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 42 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$584$ |
$[584, 390112, 244145288, 152588407680, 95367450443144, 59604645241937632, 37252902992462541128, 23283064365424793832960, 14551915228363538580904904, 9094947017729119579330531552]$ |
$584$ |
$[584, 390112, 244145288, 152588407680, 95367450443144, 59604645241937632, 37252902992462541128, 23283064365424793832960, 14551915228363538580904904, 9094947017729119579330531552]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-46}) \) |
$C_2$ |
simple |
| 1.625.abp |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 41 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$585$ |
$[585, 390195, 244148580, 152588486115, 95367451084425, 59604645200405760, 37252902989892386745, 23283064365337531522755, 14551915228361529341733540, 9094947017729095052694119475]$ |
$585$ |
$[585, 390195, 244148580, 152588486115, 95367451084425, 59604645200405760, 37252902989892386745, 23283064365337531522755, 14551915228361529341733540, 9094947017729095052694119475]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-91}) \) |
$C_2$ |
simple |
| 1.625.abn |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 39 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$587$ |
$[587, 390355, 244154432, 152588598435, 95367450616427, 59604645073066240, 37252902984368613947, 23283064365191145091395, 14551915228359371491644992, 9094947017729113032990080275]$ |
$587$ |
$[587, 390355, 244154432, 152588598435, 95367450616427, 59604645073066240, 37252902984368613947, 23283064365191145091395, 14551915228359371491644992, 9094947017729113032990080275]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-979}) \) |
$C_2$ |
simple |
| 1.625.abm |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$588$ |
$[588, 390432, 244157004, 152588634240, 95367449661708, 59604644995432992, 37252902981717574284, 23283064365139176890880, 14551915228359249417614028, 9094947017729148354617221152]$ |
$588$ |
$[588, 390432, 244157004, 152588634240, 95367449661708, 59604644995432992, 37252902981717574284, 23283064365139176890880, 14551915228359249417614028, 9094947017729148354617221152]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-66}) \) |
$C_2$ |
simple |
| 1.625.abl |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$589$ |
$[589, 390507, 244159348, 152588657715, 95367448321669, 59604644913158592, 37252902979290903493, 23283064365103713137955, 14551915228359701713999924, 9094947017729194856818104027]$ |
$589$ |
$[589, 390507, 244159348, 152588657715, 95367448321669, 59604644913158592, 37252902979290903493, 23283064365103713137955, 14551915228359701713999924, 9094947017729194856818104027]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1131}) \) |
$C_2$ |
simple |
| 1.625.abk |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$590$ |
$[590, 390580, 244161470, 152588669760, 95367446661950, 59604644829199540, 37252902977167934030, 23283064365085088881920, 14551915228360641346449710, 9094947017729247473838958900]$ |
$590$ |
$[590, 390580, 244161470, 152588669760, 95367446661950, 59604644829199540, 37252902977167934030, 23283064365085088881920, 14551915228360641346449710, 9094947017729247473838958900]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-301}) \) |
$C_2$ |
simple |
| 1.625.abi |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$592$ |
$[592, 390720, 244165072, 152588663040, 95367442623952, 59604644666064960, 37252902974037489232, 23283064365095515284480, 14551915228363556120152912, 9094947017729352480563649600]$ |
$592$ |
$[592, 390720, 244165072, 152588663040, 95367442623952, 59604644666064960, 37252902974037489232, 23283064365095515284480, 14551915228363556120152912, 9094947017729352480563649600]$ |
$28$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \) |
$C_2$ |
simple |
| 1.625.abh |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$593$ |
$[593, 390787, 244166564, 152588645955, 95367440355233, 59604644590892032, 37252902973084057649, 23283064365121616773635, 14551915228365304811640548, 9094947017729397169638507427]$ |
$593$ |
$[593, 390787, 244166564, 152588645955, 95367440355233, 59604644590892032, 37252902973084057649, 23283064365121616773635, 14551915228365304811640548, 9094947017729397169638507427]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1411}) \) |
$C_2$ |
simple |
| 1.625.abg |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$594$ |
$[594, 390852, 244167858, 152588620800, 95367437986194, 59604644522090052, 37252902972547542258, 23283064365158984601600, 14551915228367101250371794, 9094947017729432847780429252]$ |
$594$ |
$[594, 390852, 244167858, 152588620800, 95367437986194, 59604644522090052, 37252902972547542258, 23283064365158984601600, 14551915228367101250371794, 9094947017729432847780429252]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-41}) \) |
$C_2$ |
simple |
| 1.625.abf |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$595$ |
$[595, 390915, 244168960, 152588588355, 95367435561475, 59604644460856320, 37252902972418046515, 23283064365205312914435, 14551915228368846341198080, 9094947017729457740956791075]$ |
$595$ |
$[595, 390915, 244168960, 152588588355, 95367435561475, 59604644460856320, 37252902972418046515, 23283064365205312914435, 14551915228368846341198080, 9094947017729457740956791075]$ |
$17$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \) |
$C_2$ |
simple |
| 1.625.abd |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$597$ |
$[597, 391035, 244170612, 152588504595, 95367430704477, 59604644364511680, 37252902973288744317, 23283064365315180738915, 14551915228371851621934132, 9094947017729472237638721675]$ |
$597$ |
$[597, 391035, 244170612, 152588504595, 95367430704477, 59604644364511680, 37252902973288744317, 23283064365315180738915, 14551915228371851621934132, 9094947017729472237638721675]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1659}) \) |
$C_2$ |
simple |
| 1.625.abc |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$598$ |
$[598, 391092, 244171174, 152588454720, 95367428342758, 59604644330491572, 37252902974223134614, 23283064365373936631040, 14551915228372984575129718, 9094947017729462238080326452]$ |
$598$ |
$[598, 391092, 244171174, 152588454720, 95367428342758, 59604644330491572, 37252902974223134614, 23283064365373936631040, 14551915228372984575129718, 9094947017729462238080326452]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-429}) \) |
$C_2$ |
simple |
| 1.625.abb |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$599$ |
$[599, 391147, 244171568, 152588400435, 95367426066719, 59604644306264512, 37252902975436427423, 23283064365432233455395, 14551915228373813307641264, 9094947017729442045574427227]$ |
$599$ |
$[599, 391147, 244171568, 152588400435, 95367426066719, 59604644306264512, 37252902975436427423, 23283064365432233455395, 14551915228373813307641264, 9094947017729442045574427227]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1771}) \) |
$C_2$ |
simple |
| 1.625.aba |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$600$ |
$[600, 391200, 244171800, 152588342400, 95367423903000, 59604644291853600, 37252902976883194200, 23283064365488038924800, 14551915228374314750045400, 9094947017729413243157556000]$ |
$600$ |
$[600, 391200, 244171800, 152588342400, 95367423903000, 59604644291853600, 37252902976883194200, 23283064365488038924800, 14551915228374314750045400, 9094947017729413243157556000]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-114}) \) |
$C_2$ |
simple |
| 1.625.az |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 - 25 x + 625 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$601$ |
$[601, 391251, 244171876, 152588281251, 95367421875001, 59604644287109376, 37252902978515625001, 23283064365539550781251, 14551915228374481201171876, 9094947017729377746582031251]$ |
$601$ |
$[601, 391251, 244171876, 152588281251, 95367421875001, 59604644287109376, 37252902978515625001, 23283064365539550781251, 14551915228374481201171876, 9094947017729377746582031251]$ |
$2$ |
$0$ |
$4$ |
$6$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.625.ay |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$602$ |
$[602, 391300, 244171802, 152588217600, 95367420003002, 59604644291728900, 37252902980284774202, 23283064365585226675200, 14551915228374319116485402, 9094947017729337679721306500]$ |
$602$ |
$[602, 391300, 244171802, 152588217600, 95367420003002, 59604644291728900, 37252902980284774202, 23283064365585226675200, 14551915228374319116485402, 9094947017729337679721306500]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-481}) \) |
$C_2$ |
simple |
| 1.625.ax |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$603$ |
$[603, 391347, 244171584, 152588152035, 95367418304283, 59604644305274112, 37252902982141675179, 23283064365623804006595, 14551915228373847568212288, 9094947017729295255969058227]$ |
$603$ |
$[603, 391347, 244171584, 152588152035, 95367418304283, 59604644305274112, 37252902982141675179, 23283064365623804006595, 14551915228373847568212288, 9094947017729295255969058227]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-219}) \) |
$C_2$ |
simple |
| 1.625.aw |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$604$ |
$[604, 391392, 244171228, 152588085120, 95367416793244, 59604644327189472, 37252902984038328988, 23283064365654310755840, 14551915228373096466949084, 9094947017729252669261417952]$ |
$604$ |
$[604, 391392, 244171228, 152588085120, 95367416793244, 59604644327189472, 37252902984038328988, 23283064365654310755840, 14551915228373096466949084, 9094947017729252669261417952]$ |
$36$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-14}) \) |
$C_2$ |
simple |
| 1.625.av |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$605$ |
$[605, 391435, 244170740, 152588017395, 95367415481525, 59604644356818880, 37252902985928572085, 23283064365676068292515, 14551915228372104625418420, 9094947017729211997468543675]$ |
$605$ |
$[605, 391435, 244170740, 152588017395, 95367415481525, 59604644356818880, 37252902985928572085, 23283064365676068292515, 14551915228372104625418420, 9094947017729211997468543675]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2059}) \) |
$C_2$ |
simple |
| 1.625.at |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$607$ |
$[607, 391515, 244169392, 152587881555, 95367413489527, 59604644436189120, 37252902989518748887, 23283064365692056388835, 14551915228369586327943472, 9094947017729143651618764075]$ |
$607$ |
$[607, 391515, 244169392, 152587881555, 95367413489527, 59604644436189120, 37252902989518748887, 23283064365692056388835, 14551915228369586327943472, 9094947017729143651618764075]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2139}) \) |
$C_2$ |
simple |
| 1.625.as |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$608$ |
$[608, 391552, 244168544, 152587814400, 95367412819808, 59604644484257152, 37252902991141749344, 23283064365686328268800, 14551915228368163752999008, 9094947017729118890823482752]$ |
$608$ |
$[608, 391552, 244168544, 152587814400, 95367412819808, 59604644484257152, 37252902991141749344, 23283064365686328268800, 14551915228368163752999008, 9094947017729118890823482752]$ |
$28$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-34}) \) |
$C_2$ |
simple |
| 1.625.ar |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$609$ |
$[609, 391587, 244167588, 152587748355, 95367412370769, 59604644536722432, 37252902992605441953, 23283064365671897634435, 14551915228366704258956004, 9094947017729101786624871427]$ |
$609$ |
$[609, 391587, 244167588, 152587748355, 95367412370769, 59604644536722432, 37252902992605441953, 23283064365671897634435, 14551915228366704258956004, 9094947017729101786624871427]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2211}) \) |
$C_2$ |
simple |
| 1.625.aq |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$610$ |
$[610, 391620, 244166530, 152587683840, 95367412142050, 59604644592654660, 37252902993881975170, 23283064365649378222080, 14551915228365261180353890, 9094947017729092919547644100]$ |
$610$ |
$[610, 391620, 244166530, 152587683840, 95367412142050, 59604644592654660, 37252902993881975170, 23283064365649378222080, 14551915228365261180353890, 9094947017729092919547644100]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-561}) \) |
$C_2$ |
simple |
| 1.625.ao |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$612$ |
$[612, 391680, 244164132, 152587560960, 95367412334052, 59604644711139840, 37252902995786238372, 23283064365583459000320, 14551915228362623316085092, 9094947017729100370214054400]$ |
$612$ |
$[612, 391680, 244164132, 152587560960, 95367412334052, 59604644711139840, 37252902995786238372, 23283064365583459000320, 14551915228362623316085092, 9094947017729100370214054400]$ |
$38$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.625.an |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$613$ |
$[613, 391707, 244162804, 152587503315, 95367412744333, 59604644771808192, 37252902996382752109, 23283064365542128861155, 14551915228361516707080628, 9094947017729116044124530027]$ |
$613$ |
$[613, 391707, 244162804, 152587503315, 95367412744333, 59604644771808192, 37252902996382752109, 23283064365542128861155, 14551915228361516707080628, 9094947017729116044124530027]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-259}) \) |
$C_2$ |
simple |
| 1.625.am |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$614$ |
$[614, 391732, 244161398, 152587448640, 95367413354294, 59604644832195892, 37252902996729761318, 23283064365496787047680, 14551915228360600558592774, 9094947017729138724075657652]$ |
$614$ |
$[614, 391732, 244161398, 152587448640, 95367413354294, 59604644832195892, 37252902996729761318, 23283064365496787047680, 14551915228360600558592774, 9094947017729138724075657652]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-589}) \) |
$C_2$ |
simple |
| 1.625.al |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$615$ |
$[615, 391755, 244159920, 152587397235, 95367414154575, 59604644891413440, 37252902996824173455, 23283064365448703992995, 14551915228359902813248560, 9094947017729167352034097275]$ |
$615$ |
$[615, 391755, 244159920, 152587397235, 95367414154575, 59604644891413440, 37252902996824173455, 23283064365448703992995, 14551915228359902813248560, 9094947017729167352034097275]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2379}) \) |
$C_2$ |
simple |
| 1.625.aj |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$617$ |
$[617, 391795, 244156772, 152587305315, 95367416281577, 59604645002978560, 37252902996266837657, 23283064365349549705155, 14551915228359235277327012, 9094947017729237213627487475]$ |
$617$ |
$[617, 391795, 244156772, 152587305315, 95367416281577, 59604645002978560, 37252902996266837657, 23283064365349549705155, 14551915228359235277327012, 9094947017729237213627487475]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2419}) \) |
$C_2$ |
simple |
| 1.625.ai |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$618$ |
$[618, 391812, 244155114, 152587265280, 95367417582858, 59604645053769732, 37252902995632278474, 23283064365301081052160, 14551915228359281540777898, 9094947017729275493172530052]$ |
$618$ |
$[618, 391812, 244155114, 152587265280, 95367417582858, 59604645053769732, 37252902995632278474, 23283064365301081052160, 14551915228359281540777898, 9094947017729275493172530052]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-609}) \) |
$C_2$ |
simple |
| 1.625.ah |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$619$ |
$[619, 391827, 244153408, 152587229475, 95367419023819, 59604645100292352, 37252902994778957083, 23283064365255018027075, 14551915228359578307310144, 9094947017729313930194796627]$ |
$619$ |
$[619, 391827, 244153408, 152587229475, 95367419023819, 59604645100292352, 37252902994778957083, 23283064365255018027075, 14551915228359578307310144, 9094947017729313930194796627]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2451}) \) |
$C_2$ |
simple |
| 1.625.ag |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$620$ |
$[620, 391840, 244151660, 152587198080, 95367420589100, 59604645141922720, 37252902993725536940, 23283064365212518709760, 14551915228360113643859180, 9094947017729350977786743200]$ |
$620$ |
$[620, 391840, 244151660, 152587198080, 95367420589100, 59604645141922720, 37252902993725536940, 23283064365212518709760, 14551915228360113643859180, 9094947017729350977786743200]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-154}) \) |
$C_2$ |
simple |
| 1.625.ae |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$622$ |
$[622, 391860, 244148062, 152587149120, 95367424027102, 59604645208377780, 37252902991109541742, 23283064365142307523840, 14551915228361816684475982, 9094947017729415148265973300]$ |
$622$ |
$[622, 391860, 244148062, 152587149120, 95367424027102, 59604645208377780, 37252902991109541742, 23283064365142307523840, 14551915228361816684475982, 9094947017729415148265973300]$ |
$32$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-69}) \) |
$C_2$ |
simple |
| 1.625.ad |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$623$ |
$[623, 391867, 244146224, 152587131795, 95367425865383, 59604645232334272, 37252902989599498439, 23283064365116314185315, 14551915228362927136891568, 9094947017729439760581962827]$ |
$623$ |
$[623, 391867, 244146224, 152587131795, 95367425865383, 59604645232334272, 37252902989599498439, 23283064365116314185315, 14551915228362927136891568, 9094947017729439760581962827]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2491}) \) |
$C_2$ |
simple |
| 1.625.ac |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$624$ |
$[624, 391872, 244144368, 152587119360, 95367427759344, 59604645249669312, 37252902987993499248, 23283064365097287429120, 14551915228364163481578864, 9094947017729458049663708352]$ |
$624$ |
$[624, 391872, 244144368, 152587119360, 95367427759344, 59604645249669312, 37252902987993499248, 23283064365097287429120, 14551915228364163481578864, 9094947017729458049663708352]$ |
$32$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-39}) \) |
$C_2$ |
simple |
| 1.625.ab |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$625$ |
$[625, 391875, 244142500, 152587111875, 95367429690625, 59604645260160000, 37252902986322660625, 23283064365085685551875, 14551915228365485829302500, 9094947017729469311509771875]$ |
$625$ |
$[625, 391875, 244142500, 152587111875, 95367429690625, 59604645260160000, 37252902986322660625, 23283064365085685551875, 14551915228365485829302500, 9094947017729469311509771875]$ |
$18$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-51}) \) |
$C_2$ |
simple |
| 1.625.b |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 + x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$627$ |
$[627, 391875, 244138752, 152587111875, 95367433590627, 59604645260160000, 37252902982915620627, 23283064365085685551875, 14551915228368217783978752, 9094947017729469311509771875]$ |
$627$ |
$[627, 391875, 244138752, 152587111875, 95367433590627, 59604645260160000, 37252902982915620627, 23283064365085685551875, 14551915228368217783978752, 9094947017729469311509771875]$ |
$18$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-51}) \) |
$C_2$ |
simple |
| 1.625.c |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$628$ |
$[628, 391872, 244136884, 152587119360, 95367435521908, 59604645249669312, 37252902981244782004, 23283064365097287429120, 14551915228369540131702388, 9094947017729458049663708352]$ |
$628$ |
$[628, 391872, 244136884, 152587119360, 95367435521908, 59604645249669312, 37252902981244782004, 23283064365097287429120, 14551915228369540131702388, 9094947017729458049663708352]$ |
$32$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-39}) \) |
$C_2$ |
simple |
| 1.625.d |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$629$ |
$[629, 391867, 244135028, 152587131795, 95367437415869, 59604645232334272, 37252902979638782813, 23283064365116314185315, 14551915228370776476389684, 9094947017729439760581962827]$ |
$629$ |
$[629, 391867, 244135028, 152587131795, 95367437415869, 59604645232334272, 37252902979638782813, 23283064365116314185315, 14551915228370776476389684, 9094947017729439760581962827]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2491}) \) |
$C_2$ |
simple |
| 1.625.e |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$630$ |
$[630, 391860, 244133190, 152587149120, 95367439254150, 59604645208377780, 37252902978128739510, 23283064365142307523840, 14551915228371886928805270, 9094947017729415148265973300]$ |
$630$ |
$[630, 391860, 244133190, 152587149120, 95367439254150, 59604645208377780, 37252902978128739510, 23283064365142307523840, 14551915228371886928805270, 9094947017729415148265973300]$ |
$32$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-69}) \) |
$C_2$ |
simple |
| 1.625.g |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$632$ |
$[632, 391840, 244129592, 152587198080, 95367442692152, 59604645141922720, 37252902975512744312, 23283064365212518709760, 14551915228373589969422072, 9094947017729350977786743200]$ |
$632$ |
$[632, 391840, 244129592, 152587198080, 95367442692152, 59604645141922720, 37252902975512744312, 23283064365212518709760, 14551915228373589969422072, 9094947017729350977786743200]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-154}) \) |
$C_2$ |
simple |
| 1.625.h |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$633$ |
$[633, 391827, 244127844, 152587229475, 95367444257433, 59604645100292352, 37252902974459324169, 23283064365255018027075, 14551915228374125305971108, 9094947017729313930194796627]$ |
$633$ |
$[633, 391827, 244127844, 152587229475, 95367444257433, 59604645100292352, 37252902974459324169, 23283064365255018027075, 14551915228374125305971108, 9094947017729313930194796627]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2451}) \) |
$C_2$ |
simple |
| 1.625.i |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$634$ |
$[634, 391812, 244126138, 152587265280, 95367445698394, 59604645053769732, 37252902973606002778, 23283064365301081052160, 14551915228374422072503354, 9094947017729275493172530052]$ |
$634$ |
$[634, 391812, 244126138, 152587265280, 95367445698394, 59604645053769732, 37252902973606002778, 23283064365301081052160, 14551915228374422072503354, 9094947017729275493172530052]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-609}) \) |
$C_2$ |
simple |
| 1.625.j |
$1$ |
$\F_{5^{4}}$ |
$5$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 625 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$635$ |
$[635, 391795, 244124480, 152587305315, 95367446999675, 59604645002978560, 37252902972971443595, 23283064365349549705155, 14551915228374468335954240, 9094947017729237213627487475]$ |
$635$ |
$[635, 391795, 244124480, 152587305315, 95367446999675, 59604645002978560, 37252902972971443595, 23283064365349549705155, 14551915228374468335954240, 9094947017729237213627487475]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2419}) \) |
$C_2$ |
simple |