| 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 |
| 1.409.abo |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 40 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$370$ |
$[370, 166500, 68403010, 27982656000, 11445014604850, 4681012922878500, 1914534319141901890, 783044537079078144000, 320265215673567572070130, 130988473210593154952662500]$ |
$370$ |
$[370, 166500, 68403010, 27982656000, 11445014604850, 4681012922878500, 1914534319141901890, 783044537079078144000, 320265215673567572070130, 130988473210593154952662500]$ |
$3$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.409.abn |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 39 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$371$ |
$[371, 166579, 68406464, 27982773315, 11445018044411, 4681013014015744, 1914534321375244499, 783044537130298928835, 320265215674672487635136, 130988473210615556259686179]$ |
$371$ |
$[371, 166579, 68406464, 27982773315, 11445018044411, 4681013014015744, 1914534321375244499, 783044537130298928835, 320265215674672487635136, 130988473210615556259686179]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-115}) \) |
$C_2$ |
simple |
| 1.409.abm |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 38 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$372$ |
$[372, 166656, 68409684, 27982875648, 11445020775732, 4681013077488384, 1914534322664727828, 783044537152501198848, 320265215674958296512756, 130988473210616490254021376]$ |
$372$ |
$[372, 166656, 68409684, 27982875648, 11445020775732, 4681013077488384, 1914534322664727828, 783044537152501198848, 320265215674958296512756, 130988473210616490254021376]$ |
$8$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.409.abl |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 37 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$373$ |
$[373, 166731, 68412676, 27982963923, 11445022875493, 4681013117880384, 1914534323231590237, 783044537154827509923, 320265215674759842325924, 130988473210607064164422251]$ |
$373$ |
$[373, 166731, 68412676, 27982963923, 11445022875493, 4681013117880384, 1914534323231590237, 783044537154827509923, 320265215674759842325924, 130988473210607064164422251]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-267}) \) |
$C_2$ |
simple |
| 1.409.abk |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 36 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$374$ |
$[374, 166804, 68415446, 27983039040, 11445024415814, 4681013139314644, 1914534323264000966, 783044537144533551360, 320265215674320996547094, 130988473210594542576166804]$ |
$374$ |
$[374, 166804, 68415446, 27983039040, 11445024415814, 4681013139314644, 1914534323264000966, 783044537144533551360, 320265215674320996547094, 130988473210594542576166804]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-85}) \) |
$C_2$ |
simple |
| 1.409.abj |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 35 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$375$ |
$[375, 166875, 68418000, 27983101875, 11445025464375, 4681013145480000, 1914534322920261375, 783044537127254491875, 320265215673812105634000, 130988473210583304006046875]$ |
$375$ |
$[375, 166875, 68418000, 27983101875, 11445025464375, 4681013145480000, 1914534322920261375, 783044537127254491875, 320265215673812105634000, 130988473210583304006046875]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-411}) \) |
$C_2$ |
simple |
| 1.409.abi |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 34 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$376$ |
$[376, 166944, 68420344, 27983153280, 11445026084536, 4681013139657504, 1914534322331819704, 783044537107246072320, 320265215673345057748216, 130988473210575622188950304]$ |
$376$ |
$[376, 166944, 68420344, 27983153280, 11445026084536, 4681013139657504, 1914534322331819704, 783044537107246072320, 320265215673345057748216, 130988473210575622188950304]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-30}) \) |
$C_2$ |
simple |
| 1.409.abh |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 33 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$377$ |
$[377, 167011, 68422484, 27983194083, 11445026335457, 4681013124745984, 1914534321606104393, 783044537087601916803, 320265215672986192333556, 130988473210572295505180851]$ |
$377$ |
$[377, 167011, 68422484, 27983194083, 11445026335457, 4681013124745984, 1914534321606104393, 783044537087601916803, 320265215672986192333556, 130988473210572295505180851]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-547}) \) |
$C_2$ |
simple |
| 1.409.abg |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 32 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$378$ |
$[378, 167076, 68424426, 27983225088, 11445026272218, 4681013103286884, 1914534320829181002, 783044537070448493568, 320265215672767262767674, 130988473210573145789898276]$ |
$378$ |
$[378, 167076, 68424426, 27983225088, 11445026272218, 4681013103286884, 1914534320829181002, 783044537070448493568, 320265215672767262767674, 130988473210573145789898276]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-17}) \) |
$C_2$ |
simple |
| 1.409.abf |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$379$ |
$[379, 167139, 68426176, 27983247075, 11445025945939, 4681013077488384, 1914534320068237771, 783044537057119116675, 320265215672694649599424, 130988473210577405707120179]$ |
$379$ |
$[379, 167139, 68426176, 27983247075, 11445025945939, 4681013077488384, 1914534320068237771, 783044537057119116675, 320265215672694649599424, 130988473210577405707120179]$ |
$10$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.409.abe |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 30 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$380$ |
$[380, 167200, 68427740, 27983260800, 11445025403900, 4681013049248800, 1914534319373904860, 783044537048308339200, 320265215672757009546620, 130988473210584011936980000]$ |
$380$ |
$[380, 167200, 68427740, 27983260800, 11445025403900, 4681013049248800, 1914534319373904860, 783044537048308339200, 320265215672757009546620, 130988473210584011936980000]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-46}) \) |
$C_2$ |
simple |
| 1.409.abd |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$381$ |
$[381, 167259, 68429124, 27983266995, 11445024689661, 4681013020179264, 1914534318782412309, 783044537044208048355, 320265215672931533453796, 130988473210591819612753179]$ |
$381$ |
$[381, 167259, 68429124, 27983266995, 11445024689661, 4681013020179264, 1914534318782412309, 783044537044208048355, 320265215672931533453796, 130988473210591819612753179]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-795}) \) |
$C_2$ |
simple |
| 1.409.abc |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$382$ |
$[382, 167316, 68430334, 27983266368, 11445023843182, 4681012991625684, 1914534318317591758, 783044537044626532608, 320265215673188974797406, 130988473210599751749917076]$ |
$382$ |
$[382, 167316, 68430334, 27983266368, 11445023843182, 4681012991625684, 1914534318317591758, 783044537044626532608, 320265215673188974797406, 130988473210599751749917076]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-213}) \) |
$C_2$ |
simple |
| 1.409.abb |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 27 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$383$ |
$[383, 167371, 68431376, 27983259603, 11445022900943, 4681012964689984, 1914534317992726967, 783044537049091750563, 320265215673497599076624, 130988473210606895829571051]$ |
$383$ |
$[383, 167371, 68431376, 27983259603, 11445022900943, 4681012964689984, 1914534317992726967, 783044537049091750563, 320265215673497599076624, 130988473210606895829571051]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-907}) \) |
$C_2$ |
simple |
| 1.409.aba |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$384$ |
$[384, 167424, 68432256, 27983247360, 11445021896064, 4681012940250624, 1914534317812258176, 783044537056939991040, 320265215673826193541504, 130988473210612558229282304]$ |
$384$ |
$[384, 167424, 68432256, 27983247360, 11445021896064, 4681012940250624, 1914534317812258176, 783044537056939991040, 320265215673826193541504, 130988473210612558229282304]$ |
$16$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-15}) \) |
$C_2$ |
simple |
| 1.409.az |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$385$ |
$[385, 167475, 68432980, 27983230275, 11445020858425, 4681012918982400, 1914534317773345345, 783044537067391073475, 320265215674146266186740, 130988473210616285832211875]$ |
$385$ |
$[385, 167475, 68432980, 27983230275, 11445020858425, 4681012918982400, 1914534317773345345, 783044537067391073475, 320265215674146266186740, 130988473210616285832211875]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1011}) \) |
$C_2$ |
simple |
| 1.409.ay |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 24 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$386$ |
$[386, 167524, 68433554, 27983208960, 11445019814786, 4681012901375524, 1914534317867295314, 783044537079611197440, 320265215674433552778626, 130988473210617862886584804]$ |
$386$ |
$[386, 167524, 68433554, 27983208960, 11445019814786, 4681012901375524, 1914534317867295314, 783044537079611197440, 320265215674433552778626, 130988473210617862886584804]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-265}) \) |
$C_2$ |
simple |
| 1.409.ax |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$387$ |
$[387, 167571, 68433984, 27983184003, 11445018788907, 4681012887753984, 1914534318080857923, 783044537092764509763, 320265215674668940885056, 130988473210617290028570051]$ |
$387$ |
$[387, 167571, 68433984, 27983184003, 11445018788907, 4681012887753984, 1914534318080857923, 783044537092764509763, 320265215674668940885056, 130988473210617290028570051]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-123}) \) |
$C_2$ |
simple |
| 1.409.aw |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$388$ |
$[388, 167616, 68434276, 27983155968, 11445017801668, 4681012878293184, 1914534318397396132, 783044537106054417408, 320265215674838910443524, 130988473210614751318800576]$ |
$388$ |
$[388, 167616, 68434276, 27983155968, 11445017801668, 4681012878293184, 1914534318397396132, 783044537106054417408, 320265215674838910443524, 130988473210614751318800576]$ |
$21$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.409.av |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 21 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$389$ |
$[389, 167659, 68434436, 27983125395, 11445016871189, 4681012873036864, 1914534318797935181, 783044537118755633955, 320265215674935581330084, 130988473210610574172463179]$ |
$389$ |
$[389, 167659, 68434436, 27983125395, 11445016871189, 4681012873036864, 1914534318797935181, 783044537118755633955, 320265215674935581330084, 130988473210610574172463179]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1195}) \) |
$C_2$ |
simple |
| 1.409.au |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$390$ |
$[390, 167700, 68434470, 27983092800, 11445016012950, 4681012871913300, 1914534319262095830, 783044537130237907200, 320265215674956449683110, 130988473210605186181492500]$ |
$390$ |
$[390, 167700, 68434470, 27983092800, 11445016012950, 4681012871913300, 1914534319262095830, 783044537130237907200, 320265215674956449683110, 130988473210605186181492500]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-309}) \) |
$C_2$ |
simple |
| 1.409.at |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$391$ |
$[391, 167739, 68434384, 27983058675, 11445015239911, 4681012874750784, 1914534319768916719, 783044537139982335075, 320265215674903886389456, 130988473210599072031285179]$ |
$391$ |
$[391, 167739, 68434384, 27983058675, 11445015239911, 4681012874750784, 1914534319768916719, 783044537139982335075, 320265215674903886389456, 130988473210599072031285179]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-51}) \) |
$C_2$ |
simple |
| 1.409.as |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$392$ |
$[392, 167776, 68434184, 27983023488, 11445014562632, 4681012881292384, 1914534320297570888, 783044537147591136768, 320265215674784463157256, 130988473210592732999879776]$ |
$392$ |
$[392, 167776, 68434184, 27983023488, 11445014562632, 4681012881292384, 1914534320297570888, 783044537147591136768, 320265215674784463157256, 130988473210592732999879776]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-82}) \) |
$C_2$ |
simple |
| 1.409.ar |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$393$ |
$[393, 167811, 68433876, 27982987683, 11445013989393, 4681012891209984, 1914534320827981497, 783044537152791705603, 320265215674608163979124, 130988473210586650891096851]$ |
$393$ |
$[393, 167811, 68433876, 27982987683, 11445013989393, 4681012891209984, 1914534320827981497, 783044537152791705603, 320265215674608163979124, 130988473210586650891096851]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1347}) \) |
$C_2$ |
simple |
| 1.409.aq |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$394$ |
$[394, 167844, 68433466, 27982951680, 11445013526314, 4681012904117604, 1914534321341341786, 783044537155435729920, 320265215674387532531914, 130988473210581257691072804]$ |
$394$ |
$[394, 167844, 68433466, 27982951680, 11445013526314, 4681012904117604, 1914534321341341786, 783044537155435729920, 320265215674387532531914, 130988473210581257691072804]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-345}) \) |
$C_2$ |
simple |
| 1.409.ap |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$395$ |
$[395, 167875, 68432960, 27982915875, 11445013177475, 4681012919584000, 1914534321820544315, 783044537155494127875, 320265215674136799164480, 130988473210576911746321875]$ |
$395$ |
$[395, 167875, 68432960, 27982915875, 11445013177475, 4681012919584000, 1914534321820544315, 783044537155494127875, 320265215674136799164480, 130988473210576911746321875]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1411}) \) |
$C_2$ |
simple |
| 1.409.ao |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$396$ |
$[396, 167904, 68432364, 27982880640, 11445012945036, 4681012937144544, 1914534322250524524, 783044537153048501760, 320265215673871024593036, 130988473210573880837294304]$ |
$396$ |
$[396, 167904, 68432364, 27982880640, 11445012945036, 4681012937144544, 1914534322250524524, 783044537153048501760, 320265215673871024593036, 130988473210573880837294304]$ |
$30$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \) |
$C_2$ |
simple |
| 1.409.an |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$397$ |
$[397, 167931, 68431684, 27982846323, 11445012829357, 4681012956312384, 1914534322618523653, 783044537148279777123, 320265215673605291254756, 130988473210572332160736251]$ |
$397$ |
$[397, 167931, 68431684, 27982846323, 11445012829357, 4681012956312384, 1914534322618523653, 783044537148279777123, 320265215673605291254756, 130988473210572332160736251]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-163}) \) |
$C_2$ |
simple |
| 1.409.am |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$398$ |
$[398, 167956, 68430926, 27982813248, 11445012829118, 4681012976588884, 1914534322914276062, 783044537141454651648, 320265215673353967464174, 130988473210572328933369876]$ |
$398$ |
$[398, 167956, 68430926, 27982813248, 11445012829118, 4681012976588884, 1914534322914276062, 783044537141454651648, 320265215673353967464174, 130988473210572328933369876]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-373}) \) |
$C_2$ |
simple |
| 1.409.al |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$399$ |
$[399, 167979, 68430096, 27982781715, 11445012941439, 4681012997473344, 1914534323130125991, 783044537132910438435, 320265215673130064073744, 130988473210573833084871179]$ |
$399$ |
$[399, 167979, 68430096, 27982781715, 11445012941439, 4681012997473344, 1914534323130125991, 783044537132910438435, 320265215673130064073744, 130988473210573833084871179]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1515}) \) |
$C_2$ |
simple |
| 1.409.ak |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$400$ |
$[400, 168000, 68429200, 27982752000, 11445013162000, 4681013018472000, 1914534323261078800, 783044537123038848000, 320265215672944698259600, 130988473210576713316200000]$ |
$400$ |
$[400, 168000, 68429200, 27982752000, 11445013162000, 4681013018472000, 1914534323261078800, 783044537123038848000, 320265215672944698259600, 130988473210576713316200000]$ |
$30$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-6}) \) |
$C_2$ |
simple |
| 1.409.aj |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$401$ |
$[401, 168019, 68428244, 27982724355, 11445013485161, 4681013039106304, 1914534323304791729, 783044537112269212995, 320265215672806674336116, 130988473210580757656402179]$ |
$401$ |
$[401, 168019, 68428244, 27982724355, 11445013485161, 4681013039106304, 1914534323304791729, 783044537112269212995, 320265215672806674336116, 130988473210580757656402179]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1555}) \) |
$C_2$ |
simple |
| 1.409.ai |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$402$ |
$[402, 168036, 68427234, 27982699008, 11445013904082, 4681013058920484, 1914534323261509218, 783044537101051619328, 320265215672722187148306, 130988473210585689553429476]$ |
$402$ |
$[402, 168036, 68427234, 27982699008, 11445013904082, 4681013058920484, 1914534323261509218, 783044537101051619328, 320265215672722187148306, 130988473210585689553429476]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-393}) \) |
$C_2$ |
simple |
| 1.409.ah |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$403$ |
$[403, 168051, 68426176, 27982676163, 11445014410843, 4681013077488384, 1914534323133947827, 783044537089840367043, 320265215672694649599424, 130988473210591186478679651]$ |
$403$ |
$[403, 168051, 68426176, 27982676163, 11445014410843, 4681013077488384, 1914534323133947827, 783044537089840367043, 320265215672694649599424, 130988473210591186478679651]$ |
$9$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.409.ag |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$404$ |
$[404, 168064, 68425076, 27982656000, 11445014996564, 4681013094419584, 1914534322927135796, 783044537079078144000, 320265215672724642242324, 130988473210596900007218304]$ |
$404$ |
$[404, 168064, 68425076, 27982656000, 11445014996564, 4681013094419584, 1914534322927135796, 783044537079078144000, 320265215672724642242324, 130988473210596900007218304]$ |
$18$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.409.af |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$405$ |
$[405, 168075, 68423940, 27982638675, 11445015651525, 4681013109364800, 1914534322648212285, 783044537069181255075, 320265215672809979597220, 130988473210602476352376875]$ |
$405$ |
$[405, 168075, 68423940, 27982638675, 11445015651525, 4681013109364800, 1914534322648212285, 783044537069181255075, 320265215672809979597220, 130988473210602476352376875]$ |
$15$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-179}) \) |
$C_2$ |
simple |
| 1.409.ae |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$406$ |
$[406, 168084, 68422774, 27982624320, 11445016365286, 4681013122020564, 1914534322306191334, 783044537060526209280, 320265215672945884955446, 130988473210607576380998804]$ |
$406$ |
$[406, 168084, 68422774, 27982624320, 11445016365286, 4681013122020564, 1914534322306191334, 783044537060526209280, 320265215672945884955446, 130988473210607576380998804]$ |
$18$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-5}) \) |
$C_2$ |
simple |
| 1.409.ad |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$407$ |
$[407, 168091, 68421584, 27982613043, 11445017126807, 4681013132133184, 1914534321911695583, 783044537053437926883, 320265215673125262888656, 130988473210611894210399451]$ |
$407$ |
$[407, 168091, 68421584, 27982613043, 11445017126807, 4681013132133184, 1914534321911695583, 783044537053437926883, 320265215673125262888656, 130988473210611894210399451]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1627}) \) |
$C_2$ |
simple |
| 1.409.ac |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$408$ |
$[408, 168096, 68420376, 27982604928, 11445017924568, 4681013139501984, 1914534321476664792, 783044537048179788288, 320265215673339056505624, 130988473210615173586486176]$ |
$408$ |
$[408, 168096, 68420376, 27982604928, 11445017924568, 4681013139501984, 1914534321476664792, 783044537048179788288, 320265215673339056505624, 130988473210615173586486176]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-102}) \) |
$C_2$ |
simple |
| 1.409.ab |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$409$ |
$[409, 168099, 68419156, 27982600035, 11445018746689, 4681013143981824, 1914534321014044201, 783044537044945706115, 320265215673576674684404, 130988473210617221360824179]$ |
$409$ |
$[409, 168099, 68419156, 27982600035, 11445018746689, 4681013143981824, 1914534321014044201, 783044537044945706115, 320265215673576674684404, 130988473210617221360824179]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1635}) \) |
$C_2$ |
simple |
| 1.409.a |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 + 409 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$410$ |
$[410, 168100, 68417930, 27982598400, 11445019581050, 4681013145484900, 1914534320537457770, 783044537043854361600, 320265215673826473056090, 130988473210617917519102500]$ |
$410$ |
$[410, 168100, 68417930, 27982598400, 11445019581050, 4681013145484900, 1914534320537457770, 783044537043854361600, 320265215673826473056090, 130988473210617917519102500]$ |
$16$ |
$0$ |
$1$ |
$1$ |
$2$ |
\(\Q(\sqrt{-409}) \) |
$C_2$ |
simple |
| 1.409.b |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$411$ |
$[411, 168099, 68416704, 27982600035, 11445020415411, 4681013143981824, 1914534320060871339, 783044537044945706115, 320265215674076271427776, 130988473210617221360824179]$ |
$411$ |
$[411, 168099, 68416704, 27982600035, 11445020415411, 4681013143981824, 1914534320060871339, 783044537044945706115, 320265215674076271427776, 130988473210617221360824179]$ |
$8$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1635}) \) |
$C_2$ |
simple |
| 1.409.c |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$412$ |
$[412, 168096, 68415484, 27982604928, 11445021237532, 4681013139501984, 1914534319598250748, 783044537048179788288, 320265215674313889606556, 130988473210615173586486176]$ |
$412$ |
$[412, 168096, 68415484, 27982604928, 11445021237532, 4681013139501984, 1914534319598250748, 783044537048179788288, 320265215674313889606556, 130988473210615173586486176]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-102}) \) |
$C_2$ |
simple |
| 1.409.d |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$413$ |
$[413, 168091, 68414276, 27982613043, 11445022035293, 4681013132133184, 1914534319163219957, 783044537053437926883, 320265215674527683223524, 130988473210611894210399451]$ |
$413$ |
$[413, 168091, 68414276, 27982613043, 11445022035293, 4681013132133184, 1914534319163219957, 783044537053437926883, 320265215674527683223524, 130988473210611894210399451]$ |
$7$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1627}) \) |
$C_2$ |
simple |
| 1.409.e |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$414$ |
$[414, 168084, 68413086, 27982624320, 11445022796814, 4681013122020564, 1914534318768724206, 783044537060526209280, 320265215674707061156734, 130988473210607576380998804]$ |
$414$ |
$[414, 168084, 68413086, 27982624320, 11445022796814, 4681013122020564, 1914534318768724206, 783044537060526209280, 320265215674707061156734, 130988473210607576380998804]$ |
$18$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-5}) \) |
$C_2$ |
simple |
| 1.409.f |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$415$ |
$[415, 168075, 68411920, 27982638675, 11445023510575, 4681013109364800, 1914534318426703255, 783044537069181255075, 320265215674842966514960, 130988473210602476352376875]$ |
$415$ |
$[415, 168075, 68411920, 27982638675, 11445023510575, 4681013109364800, 1914534318426703255, 783044537069181255075, 320265215674842966514960, 130988473210602476352376875]$ |
$15$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-179}) \) |
$C_2$ |
simple |
| 1.409.g |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$416$ |
$[416, 168064, 68410784, 27982656000, 11445024165536, 4681013094419584, 1914534318147779744, 783044537079078144000, 320265215674928303869856, 130988473210596900007218304]$ |
$416$ |
$[416, 168064, 68410784, 27982656000, 11445024165536, 4681013094419584, 1914534318147779744, 783044537079078144000, 320265215674928303869856, 130988473210596900007218304]$ |
$18$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
| 1.409.h |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$417$ |
$[417, 168051, 68409684, 27982676163, 11445024751257, 4681013077488384, 1914534317940967713, 783044537089840367043, 320265215674958296512756, 130988473210591186478679651]$ |
$417$ |
$[417, 168051, 68409684, 27982676163, 11445024751257, 4681013077488384, 1914534317940967713, 783044537089840367043, 320265215674958296512756, 130988473210591186478679651]$ |
$9$ |
$0$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.409.i |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$418$ |
$[418, 168036, 68408626, 27982699008, 11445025258018, 4681013058920484, 1914534317813406322, 783044537101051619328, 320265215674930758963874, 130988473210585689553429476]$ |
$418$ |
$[418, 168036, 68408626, 27982699008, 11445025258018, 4681013058920484, 1914534317813406322, 783044537101051619328, 320265215674930758963874, 130988473210585689553429476]$ |
$12$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-393}) \) |
$C_2$ |
simple |
| 1.409.j |
$1$ |
$\F_{409}$ |
$409$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 409 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$419$ |
$[419, 168019, 68407616, 27982724355, 11445025676939, 4681013039106304, 1914534317770123811, 783044537112269212995, 320265215674846271776064, 130988473210580757656402179]$ |
$419$ |
$[419, 168019, 68407616, 27982724355, 11445025676939, 4681013039106304, 1914534317770123811, 783044537112269212995, 320265215674846271776064, 130988473210580757656402179]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-1555}) \) |
$C_2$ |
simple |