| 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 |
| 1.289.abi |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$( 1 - 17 x )^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$256$ |
$[256, 82944, 24127744, 6975590400, 2015991060736, 582622188954624, 168377825738723584, 48661191861715353600, 14063084451830549238016, 4064231406643540534600704]$ |
$256$ |
$[256, 82944, 24127744, 6975590400, 2015991060736, 582622188954624, 168377825738723584, 48661191861715353600, 14063084451830549238016, 4064231406643540534600704]$ |
$2$ |
$0$ |
$4$ |
$6$ |
$1$ |
\(\Q\) |
Trivial |
simple |
| 1.289.abh |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$257$ |
$[257, 83011, 24130244, 6975663363, 2015992913057, 582622231834624, 168377826666717953, 48661191880767525123, 14063084452205032040516, 4064231406650629565266051]$ |
$257$ |
$[257, 83011, 24130244, 6975663363, 2015992913057, 582622231834624, 168377826666717953, 48661191880767525123, 14063084452205032040516, 4064231406650629565266051]$ |
$1$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-67}) \) |
$C_2$ |
simple |
| 1.289.abg |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$258$ |
$[258, 83076, 24132546, 6975725568, 2015994332418, 582622260264324, 168377827171668162, 48661191888602431488, 14063084452304717777154, 4064231406651417913849476]$ |
$258$ |
$[258, 83076, 24132546, 6975725568, 2015994332418, 582622260264324, 168377827171668162, 48661191888602431488, 14063084452304717777154, 4064231406651417913849476]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-33}) \) |
$C_2$ |
simple |
| 1.289.abf |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$259$ |
$[259, 83139, 24134656, 6975777795, 2015995373539, 582622277013504, 168377827366974211, 48661191889204138755, 14063084452253991691264, 4064231406649434519000579]$ |
$259$ |
$[259, 83139, 24134656, 6975777795, 2015995373539, 582622277013504, 168377827366974211, 48661191889204138755, 14063084452253991691264, 4064231406649434519000579]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-195}) \) |
$C_2$ |
simple |
| 1.289.abe |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 30 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$260$ |
$[260, 83200, 24136580, 6975820800, 2015996087300, 582622284524800, 168377827346252420, 48661191885604147200, 14063084452138443271940, 4064231406646822197280000]$ |
$260$ |
$[260, 83200, 24136580, 6975820800, 2015996087300, 582622284524800, 168377827346252420, 48661191885604147200, 14063084452138443271940, 4064231406646822197280000]$ |
$8$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.289.abd |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$261$ |
$[261, 83259, 24138324, 6975855315, 2015996520861, 582622284936384, 168377827185594189, 48661191880039259235, 14063084452013554470996, 4064231406644737956393579]$ |
$261$ |
$[261, 83259, 24138324, 6975855315, 2015996520861, 582622284936384, 168377827185594189, 48661191880039259235, 14063084452013554470996, 4064231406644737956393579]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \) |
$C_2$ |
simple |
| 1.289.abc |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$262$ |
$[262, 83316, 24139894, 6975882048, 2015996717782, 582622280103924, 168377826945668518, 48661191874091728128, 14063084451911989728166, 4064231406643667150604276]$ |
$262$ |
$[262, 83316, 24139894, 6975882048, 2015996717782, 582622280103924, 168377826945668518, 48661191874091728128, 14063084451911989728166, 4064231406643667150604276]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-93}) \) |
$C_2$ |
simple |
| 1.289.abb |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$263$ |
$[263, 83371, 24141296, 6975901683, 2015996718143, 582622271621824, 168377826673673327, 48661191868812917283, 14063084451849643585904, 4064231406643665116360251]$ |
$263$ |
$[263, 83371, 24141296, 6975901683, 2015996718143, 582622271621824, 168377826673673327, 48661191868812917283, 14063084451849643585904, 4064231406643665116360251]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-427}) \) |
$C_2$ |
simple |
| 1.289.aba |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$264$ |
$[264, 83424, 24142536, 6975914880, 2015996558664, 582622260843744, 168377826405140616, 48661191864831659520, 14063084451830590788744, 4064231406644538408532704]$ |
$264$ |
$[264, 83424, 24142536, 6975914880, 2015996558664, 582622260843744, 168377826405140616, 48661191864831659520, 14063084451830590788744, 4064231406644538408532704]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-30}) \) |
$C_2$ |
simple |
| 1.289.az |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$265$ |
$[265, 83475, 24143620, 6975922275, 2015996272825, 582622248902400, 168377826165600505, 48661191862448465475, 14063084451851073238660, 4064231406645976347061875]$ |
$265$ |
$[265, 83475, 24143620, 6975922275, 2015996272825, 582622248902400, 168377826165600505, 48661191862448465475, 14063084451851073238660, 4064231406645976347061875]$ |
$9$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-59}) \) |
$C_2$ |
simple |
| 1.289.ay |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$266$ |
$[266, 83524, 24144554, 6975924480, 2015995890986, 582622236728644, 168377825972109194, 48661191861716689920, 14063084451902648017226, 4064231406647642276635204]$ |
$266$ |
$[266, 83524, 24144554, 6975924480, 2015995890986, 582622236728644, 168377825972109194, 48661191861716689920, 14063084451902648017226, 4064231406647642276635204]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-145}) \) |
$C_2$ |
simple |
| 1.289.ax |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$267$ |
$[267, 83571, 24145344, 6975922083, 2015995440507, 582622225069824, 168377825834645883, 48661191862511724483, 14063084451974610887616, 4064231406649232734639251]$ |
$267$ |
$[267, 83571, 24145344, 6975922083, 2015995440507, 582622225069824, 168377825834645883, 48661191862511724483, 14063084451974610887616, 4064231406649232734639251]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-627}) \) |
$C_2$ |
simple |
| 1.289.aw |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$268$ |
$[268, 83616, 24145996, 6975915648, 2015994945868, 582622214507424, 168377825757383692, 48661191864589244928, 14063084452055800254604, 4064231406650511611407776]$ |
$268$ |
$[268, 83616, 24145996, 6975915648, 2015994945868, 582622214507424, 168377825757383692, 48661191864589244928, 14063084452055800254604, 4064231406650511611407776]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-42}) \) |
$C_2$ |
simple |
| 1.289.av |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$269$ |
$[269, 83659, 24146516, 6975905715, 2015994428789, 582622205473984, 168377825739839621, 48661191867633500835, 14063084452135877488724, 4064231406651325368103579]$ |
$269$ |
$[269, 83659, 24146516, 6975905715, 2015994428789, 582622205473984, 168377825739839621, 48661191867633500835, 14063084452135877488724, 4064231406651325368103579]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-715}) \) |
$C_2$ |
simple |
| 1.289.au |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$270$ |
$[270, 83700, 24146910, 6975892800, 2015993908350, 582622198269300, 168377825777908590, 48661191871296595200, 14063084452206170811630, 4064231406651604447792500]$ |
$270$ |
$[270, 83700, 24146910, 6975892800, 2015993908350, 582622198269300, 168377825777908590, 48661191871296595200, 14063084452206170811630, 4064231406651604447792500]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-21}) \) |
$C_2$ |
simple |
| 1.289.at |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$271$ |
$[271, 83739, 24147184, 6975877395, 2015993401111, 582622193075904, 168377825864786599, 48661191875229661155, 14063084452260161593456, 4064231406651355170765579]$ |
$271$ |
$[271, 83739, 24147184, 6975877395, 2015993401111, 582622193075904, 168377825864786599, 48661191875229661155, 14063084452260161593456, 4064231406651355170765579]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-795}) \) |
$C_2$ |
simple |
| 1.289.as |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$272$ |
$[272, 83776, 24147344, 6975859968, 2015992921232, 582622189973824, 168377825991788048, 48661191879106802688, 14063084452293683929616, 4064231406650645642310976]$ |
$272$ |
$[272, 83776, 24147344, 6975859968, 2015992921232, 582622189973824, 168377825991788048, 48661191879106802688, 14063084452293683929616, 4064231406650645642310976]$ |
$14$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \) |
$C_2$ |
simple |
| 1.289.ar |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 - 17 x + 289 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$273$ |
$[273, 83811, 24147396, 6975840963, 2015992480593, 582622188954624, 168377826149062257, 48661191882642625923, 14063084452304900744004, 4064231406649588516302051]$ |
$273$ |
$[273, 83811, 24147396, 6975840963, 2015992480593, 582622188954624, 168377826149062257, 48661191882642625923, 14063084452304900744004, 4064231406649588516302051]$ |
$2$ |
$0$ |
$4$ |
$6$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.289.aq |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$274$ |
$[274, 83844, 24147346, 6975820800, 2015992088914, 582622189934724, 168377826326214226, 48661191885604147200, 14063084452294112407954, 4064231406648322847523204]$ |
$274$ |
$[274, 83844, 24147346, 6975820800, 2015992088914, 582622189934724, 168377826326214226, 48661191885604147200, 14063084452294112407954, 4064231406648322847523204]$ |
$13$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.289.ap |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$275$ |
$[275, 83875, 24147200, 6975799875, 2015991753875, 582622192768000, 168377826512834675, 48661191887817823875, 14063084452263446969600, 4064231406646996725971875]$ |
$275$ |
$[275, 83875, 24147200, 6975799875, 2015991753875, 582622192768000, 168377826512834675, 48661191887817823875, 14063084452263446969600, 4064231406646996725971875]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \) |
$C_2$ |
simple |
| 1.289.ao |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$276$ |
$[276, 83904, 24146964, 6975778560, 2015991481236, 582622197257664, 168377826698944404, 48661191889172413440, 14063084452216474556436, 4064231406645751913824704]$ |
$276$ |
$[276, 83904, 24146964, 6975778560, 2015991481236, 582622197257664, 168377826698944404, 48661191889172413440, 14063084452216474556436, 4064231406645751913824704]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
simple |
| 1.289.an |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$277$ |
$[277, 83931, 24146644, 6975757203, 2015991274957, 582622203167424, 168377826875358013, 48661191889618326243, 14063084452157782344916, 4064231406644711296709451]$ |
$277$ |
$[277, 83931, 24146644, 6975757203, 2015991274957, 582622203167424, 168377826875358013, 48661191889618326243, 14063084452157782344916, 4064231406644711296709451]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-987}) \) |
$C_2$ |
simple |
| 1.289.am |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$278$ |
$[278, 83956, 24146246, 6975736128, 2015991137318, 582622210231924, 168377827033972022, 48661191889164096768, 14063084452092540684854, 4064231406643969611753076]$ |
$278$ |
$[278, 83956, 24146246, 6975736128, 2015991137318, 582622210231924, 168377827033972022, 48661191889164096768, 14063084452092540684854, 4064231406643969611753076]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-253}) \) |
$C_2$ |
simple |
| 1.289.al |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$279$ |
$[279, 83979, 24145776, 6975715635, 2015991069039, 582622218166464, 168377827167982431, 48661191887870558115, 14063084452026085523184, 4064231406643587621951579]$ |
$279$ |
$[279, 83979, 24145776, 6975715635, 2015991069039, 582622218166464, 168377827167982431, 48661191887870558115, 14063084452026085523184, 4064231406643587621951579]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-115}) \) |
$C_2$ |
simple |
| 1.289.ak |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$280$ |
$[280, 84000, 24145240, 6975696000, 2015991069400, 582622226676000, 168377827272036760, 48661191885843264000, 14063084451963537191320, 4064231406643589666100000]$ |
$280$ |
$[280, 84000, 24145240, 6975696000, 2015991069400, 582622226676000, 168377827272036760, 48661191885843264000, 14063084451963537191320, 4064231406643589666100000]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-66}) \) |
$C_2$ |
simple |
| 1.289.aj |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$281$ |
$[281, 84019, 24144644, 6975677475, 2015991136361, 582622235463424, 168377827342325609, 48661191883223662275, 14063084451909470902916, 4064231406643964322202579]$ |
$281$ |
$[281, 84019, 24144644, 6975677475, 2015991136361, 582622235463424, 168377827342325609, 48661191883223662275, 14063084451909470902916, 4064231406643964322202579]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \) |
$C_2$ |
simple |
| 1.289.ai |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$282$ |
$[282, 84036, 24143994, 6975660288, 2015991266682, 582622244237124, 168377827376618778, 48661191880179483648, 14063084451867649954266, 4064231406644667776324676]$ |
$282$ |
$[282, 84036, 24143994, 6975660288, 2015991266682, 582622244237124, 168377827376618778, 48661191880179483648, 14063084451867649954266, 4064231406644667776324676]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-273}) \) |
$C_2$ |
simple |
| 1.289.ah |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$283$ |
$[283, 84051, 24143296, 6975644643, 2015991456043, 582622252717824, 168377827374250987, 48661191876894768963, 14063084451840828627904, 4064231406645629384620851]$ |
$283$ |
$[283, 84051, 24143296, 6975644643, 2015991456043, 582622252717824, 168377827374250987, 48661191876894768963, 14063084451840828627904, 4064231406645629384620851]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
simple |
| 1.289.ag |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$284$ |
$[284, 84064, 24142556, 6975630720, 2015991699164, 582622260644704, 168377827336062236, 48661191873559918080, 14063084451830628171164, 4064231406646758850148704]$ |
$284$ |
$[284, 84064, 24142556, 6975630720, 2015991699164, 582622260644704, 168377827336062236, 48661191873559918080, 14063084451830628171164, 4064231406646758850148704]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-70}) \) |
$C_2$ |
simple |
| 1.289.af |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$285$ |
$[285, 84075, 24141780, 6975618675, 2015991989925, 582622267780800, 168377827264297845, 48661191870362103075, 14063084451837485955540, 4064231406647954404426875]$ |
$285$ |
$[285, 84075, 24141780, 6975618675, 2015991989925, 582622267780800, 168377827264297845, 48661191870362103075, 14063084451837485955540, 4064231406647954404426875]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1131}) \) |
$C_2$ |
simple |
| 1.289.ae |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$286$ |
$[286, 84084, 24140974, 6975608640, 2015992321486, 582622273917684, 168377827162473214, 48661191867476348160, 14063084451860675019646, 4064231406649111382889204]$ |
$286$ |
$[286, 84084, 24140974, 6975608640, 2015992321486, 582622273917684, 168377827162473214, 48661191867476348160, 14063084451860675019646, 4064231406649111382889204]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-285}) \) |
$C_2$ |
simple |
| 1.289.ad |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$287$ |
$[287, 84091, 24140144, 6975600723, 2015992686407, 582622278879424, 168377827035208343, 48661191865057538403, 14063084451898388658416, 4064231406650130609796651]$ |
$287$ |
$[287, 84091, 24140144, 6975600723, 2015992686407, 582622278879424, 168377827035208343, 48661191865057538403, 14063084451898388658416, 4064231406650130609796651]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1147}) \) |
$C_2$ |
simple |
| 1.289.ac |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$288$ |
$[288, 84096, 24139296, 6975595008, 2015993076768, 582622282525824, 168377826888037152, 48661191863233579008, 14063084451947882543904, 4064231406650926058165376]$ |
$288$ |
$[288, 84096, 24139296, 6975595008, 2015993076768, 582622282525824, 168377826888037152, 48661191863233579008, 14063084451947882543904, 4064231406650926058165376]$ |
$21$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.289.ab |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$289$ |
$[289, 84099, 24138436, 6975591555, 2015993484289, 582622284754944, 168377826727196641, 48661191862099886595, 14063084452005665048644, 4064231406651431320224579]$ |
$289$ |
$[289, 84099, 24138436, 6975591555, 2015993484289, 582622284754944, 168377826727196641, 48661191862099886595, 14063084452005665048644, 4064231406651431320224579]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1155}) \) |
$C_2$ |
simple |
| 1.289.b |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$291$ |
$[291, 84099, 24136704, 6975591555, 2015994316611, 582622284754944, 168377826391605219, 48661191862099886595, 14063084452129784933376, 4064231406651431320224579]$ |
$291$ |
$[291, 84099, 24136704, 6975591555, 2015994316611, 582622284754944, 168377826391605219, 48661191862099886595, 14063084452129784933376, 4064231406651431320224579]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1155}) \) |
$C_2$ |
simple |
| 1.289.c |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$292$ |
$[292, 84096, 24135844, 6975595008, 2015994724132, 582622282525824, 168377826230764708, 48661191863233579008, 14063084452187567438116, 4064231406650926058165376]$ |
$292$ |
$[292, 84096, 24135844, 6975595008, 2015994724132, 582622282525824, 168377826230764708, 48661191863233579008, 14063084452187567438116, 4064231406650926058165376]$ |
$21$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.289.d |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$293$ |
$[293, 84091, 24134996, 6975600723, 2015995114493, 582622278879424, 168377826083593517, 48661191865057538403, 14063084452237061323604, 4064231406650130609796651]$ |
$293$ |
$[293, 84091, 24134996, 6975600723, 2015995114493, 582622278879424, 168377826083593517, 48661191865057538403, 14063084452237061323604, 4064231406650130609796651]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1147}) \) |
$C_2$ |
simple |
| 1.289.e |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$294$ |
$[294, 84084, 24134166, 6975608640, 2015995479414, 582622273917684, 168377825956328646, 48661191867476348160, 14063084452274774962374, 4064231406649111382889204]$ |
$294$ |
$[294, 84084, 24134166, 6975608640, 2015995479414, 582622273917684, 168377825956328646, 48661191867476348160, 14063084452274774962374, 4064231406649111382889204]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-285}) \) |
$C_2$ |
simple |
| 1.289.f |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$295$ |
$[295, 84075, 24133360, 6975618675, 2015995810975, 582622267780800, 168377825854504015, 48661191870362103075, 14063084452297964026480, 4064231406647954404426875]$ |
$295$ |
$[295, 84075, 24133360, 6975618675, 2015995810975, 582622267780800, 168377825854504015, 48661191870362103075, 14063084452297964026480, 4064231406647954404426875]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1131}) \) |
$C_2$ |
simple |
| 1.289.g |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$296$ |
$[296, 84064, 24132584, 6975630720, 2015996101736, 582622260644704, 168377825782739624, 48661191873559918080, 14063084452304821810856, 4064231406646758850148704]$ |
$296$ |
$[296, 84064, 24132584, 6975630720, 2015996101736, 582622260644704, 168377825782739624, 48661191873559918080, 14063084452304821810856, 4064231406646758850148704]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-70}) \) |
$C_2$ |
simple |
| 1.289.h |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$297$ |
$[297, 84051, 24131844, 6975644643, 2015996344857, 582622252717824, 168377825744550873, 48661191876894768963, 14063084452294621354116, 4064231406645629384620851]$ |
$297$ |
$[297, 84051, 24131844, 6975644643, 2015996344857, 582622252717824, 168377825744550873, 48661191876894768963, 14063084452294621354116, 4064231406645629384620851]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
simple |
| 1.289.i |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$298$ |
$[298, 84036, 24131146, 6975660288, 2015996534218, 582622244237124, 168377825742183082, 48661191880179483648, 14063084452267800027754, 4064231406644667776324676]$ |
$298$ |
$[298, 84036, 24131146, 6975660288, 2015996534218, 582622244237124, 168377825742183082, 48661191880179483648, 14063084452267800027754, 4064231406644667776324676]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-273}) \) |
$C_2$ |
simple |
| 1.289.j |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$299$ |
$[299, 84019, 24130496, 6975677475, 2015996664539, 582622235463424, 168377825776476251, 48661191883223662275, 14063084452225979079104, 4064231406643964322202579]$ |
$299$ |
$[299, 84019, 24130496, 6975677475, 2015996664539, 582622235463424, 168377825776476251, 48661191883223662275, 14063084452225979079104, 4064231406643964322202579]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-43}) \) |
$C_2$ |
simple |
| 1.289.k |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 10 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$300$ |
$[300, 84000, 24129900, 6975696000, 2015996731500, 582622226676000, 168377825846765100, 48661191885843264000, 14063084452171912790700, 4064231406643589666100000]$ |
$300$ |
$[300, 84000, 24129900, 6975696000, 2015996731500, 582622226676000, 168377825846765100, 48661191885843264000, 14063084452171912790700, 4064231406643589666100000]$ |
$24$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-66}) \) |
$C_2$ |
simple |
| 1.289.l |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 11 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$301$ |
$[301, 83979, 24129364, 6975715635, 2015996731861, 582622218166464, 168377825950819429, 48661191887870558115, 14063084452109364458836, 4064231406643587621951579]$ |
$301$ |
$[301, 83979, 24129364, 6975715635, 2015996731861, 582622218166464, 168377825950819429, 48661191887870558115, 14063084452109364458836, 4064231406643587621951579]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-115}) \) |
$C_2$ |
simple |
| 1.289.m |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 12 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$302$ |
$[302, 83956, 24128894, 6975736128, 2015996663582, 582622210231924, 168377826084829838, 48661191889164096768, 14063084452042909297166, 4064231406643969611753076]$ |
$302$ |
$[302, 83956, 24128894, 6975736128, 2015996663582, 582622210231924, 168377826084829838, 48661191889164096768, 14063084452042909297166, 4064231406643969611753076]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-253}) \) |
$C_2$ |
simple |
| 1.289.n |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 13 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$303$ |
$[303, 83931, 24128496, 6975757203, 2015996525943, 582622203167424, 168377826243443847, 48661191889618326243, 14063084451977667637104, 4064231406644711296709451]$ |
$303$ |
$[303, 83931, 24128496, 6975757203, 2015996525943, 582622203167424, 168377826243443847, 48661191889618326243, 14063084451977667637104, 4064231406644711296709451]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-987}) \) |
$C_2$ |
simple |
| 1.289.o |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 14 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$304$ |
$[304, 83904, 24128176, 6975778560, 2015996319664, 582622197257664, 168377826419857456, 48661191889172413440, 14063084451918975425584, 4064231406645751913824704]$ |
$304$ |
$[304, 83904, 24128176, 6975778560, 2015996319664, 582622197257664, 168377826419857456, 48661191889172413440, 14063084451918975425584, 4064231406645751913824704]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
simple |
| 1.289.p |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 15 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$305$ |
$[305, 83875, 24127940, 6975799875, 2015996047025, 582622192768000, 168377826605967185, 48661191887817823875, 14063084451872003012420, 4064231406646996725971875]$ |
$305$ |
$[305, 83875, 24127940, 6975799875, 2015996047025, 582622192768000, 168377826605967185, 48661191887817823875, 14063084451872003012420, 4064231406646996725971875]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-19}) \) |
$C_2$ |
simple |
| 1.289.q |
$1$ |
$\F_{17^{2}}$ |
$17$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 16 x + 289 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$306$ |
$[306, 83844, 24127794, 6975820800, 2015995711986, 582622189934724, 168377826792587634, 48661191885604147200, 14063084451841337574066, 4064231406648322847523204]$ |
$306$ |
$[306, 83844, 24127794, 6975820800, 2015995711986, 582622189934724, 168377826792587634, 48661191885604147200, 14063084451841337574066, 4064231406648322847523204]$ |
$13$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
