| 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 |
| 2.29.au_gc |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 10 x + 29 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$10$ |
$[10, 758, 24130, 707118, 20517050, 594887078, 17250342770, 500249228638, 14507160605290, 420707297939798]$ |
$400$ |
$[400, 640000, 588547600, 500131840000, 420828298810000, 353852708967040000, 297566279141999011600, 250247882215148912640000, 210457496596386121916736400, 176994603345457233984400000000]$ |
$1$ |
$1$ |
$16$ |
$12$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
1.29.ak 2 |
| 2.29.at_fr |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 147 x^{2} - 551 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$11$ |
$[11, 775, 24257, 707499, 20513886, 594826471, 17249765369, 500245167219, 14507138049203, 420707202040950]$ |
$419$ |
$[419, 653221, 591589871, 500399293829, 420763339919824, 353816656739478181, 297556318992829138199, 250245850503173201635589, 210457169371889034043151051, 176994563000117004873486443776]$ |
$1$ |
$1$ |
$2$ |
$2$ |
$1$ |
4.0.3725.1 |
$D_{4}$ |
simple |
| 2.29.at_fs |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 10 x + 29 x^{2} )( 1 - 9 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$11$ |
$[11, 777, 24314, 708353, 20522911, 594901062, 17250266779, 500247905953, 14507149497026, 420707229008577]$ |
$420$ |
$[420, 655200, 593011440, 501005232000, 420948531950100, 353861027422156800, 297564968288924957460, 250247220544860057792000, 210457335447097481685383280, 176994574345591731226477980000]$ |
$0$ |
$0$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-35}) \) |
$C_2$, $C_2$ |
1.29.ak $\times$ 1.29.aj |
| 2.29.as_fg |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 136 x^{2} - 522 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$12$ |
$[12, 790, 24336, 707350, 20507712, 594767734, 17249424204, 500243983198, 14507137600956, 420707223749830]$ |
$438$ |
$[438, 664884, 593479926, 500293295568, 420636717101238, 353781719907640596, 297550433988758793462, 250245258202086282482688, 210457162869116942467471302, 176994572133199529914999373844]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.7488.1 |
$D_{4}$ |
simple |
| 2.29.as_fh |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 137 x^{2} - 522 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$12$ |
$[12, 792, 24390, 708100, 20514912, 594821022, 17249746512, 500245667524, 14507145975870, 420707269604952]$ |
$439$ |
$[439, 666841, 594822172, 500824931481, 420784421475199, 353813416302797584, 297555993699219894679, 250246100777717194619049, 210457284365174170949887612, 176994591424781578680934462201]$ |
$3$ |
$3$ |
$6$ |
$24$ |
$6$ |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
$C_2^2$ |
simple |
| 2.29.as_fi |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 10 x + 29 x^{2} )( 1 - 8 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$12$ |
$[12, 794, 24444, 708846, 20521932, 594870122, 17250001788, 500246526046, 14507146057356, 420707245302074]$ |
$440$ |
$[440, 668800, 596165240, 501353881600, 420928448646200, 353842622602268800, 297560397165147843320, 250246530249390401126400, 210457285547277522676074680, 176994581200384301484151120000]$ |
$4$ |
$4$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \) |
$C_2$, $C_2$ |
1.29.ak $\times$ 1.29.ai |
| 2.29.as_fj |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 9 x + 29 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$12$ |
$[12, 796, 24498, 709588, 20528772, 594915046, 17250190788, 500246583268, 14507138388762, 420707160077356]$ |
$441$ |
$[441, 670761, 597509136, 501880149225, 421068799441521, 353869346072825856, 297563657441625535401, 250246558876320698553225, 210457174297932234983123856, 176994545345730979981784510841]$ |
$5$ |
$5$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-35}) \) |
$C_2$ |
1.29.aj 2 |
| 2.29.ar_ew |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 126 x^{2} - 493 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$13$ |
$[13, 805, 24424, 707505, 20506713, 594767674, 17249570701, 500245854273, 14507151281944, 420707290033005]$ |
$458$ |
$[458, 676924, 595625336, 500403882368, 420616263537538, 353781684352850176, 297552961005564431282, 250246194199174045603328, 210457361341197021038565752, 176994600019011834498332265244]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.95948.1 |
$D_{4}$ |
simple |
| 2.29.ar_ex |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 127 x^{2} - 493 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$13$ |
$[13, 807, 24475, 708155, 20512238, 594802287, 17249739443, 500246559859, 14507154569965, 420707310958902]$ |
$459$ |
$[459, 678861, 596889567, 500864324661, 420729588852624, 353802271981795389, 297555871738442042079, 250246547165173669837029, 210457409041004244158210427, 176994608822688918775495147776]$ |
$5$ |
$5$ |
$2$ |
$2$ |
$1$ |
4.0.118469.1 |
$D_{4}$ |
simple |
| 2.29.ar_ey |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 10 x + 29 x^{2} )( 1 - 7 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$13$ |
$[13, 809, 24526, 708801, 20517593, 594833222, 17249854397, 500246672161, 14507152649254, 420707294441249]$ |
$460$ |
$[460, 680800, 598154560, 501322057600, 420839437966300, 353820672445388800, 297557854654252633180, 250246603343100737318400, 210457381176952284543795520, 176994601873592250556814620000]$ |
$3$ |
$3$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-67}) \) |
$C_2$, $C_2$ |
1.29.ak $\times$ 1.29.ah |
| 2.29.ar_ez |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 129 x^{2} - 493 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$13$ |
$[13, 811, 24577, 709443, 20522778, 594860491, 17249916277, 500246212803, 14507145962593, 420707247339606]$ |
$461$ |
$[461, 682741, 599420321, 501777084245, 420945811577296, 353836892978425981, 297558922078611396041, 250246373550914869847045, 210457284172575820900943741, 176994582057589430870181769216]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.36125.1 |
$C_4$ |
simple |
| 2.29.ar_fa |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 9 x + 29 x^{2} )( 1 - 8 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$13$ |
$[13, 813, 24628, 710081, 20527793, 594884106, 17249925797, 500245203361, 14507134949092, 420707176370853]$ |
$462$ |
$[462, 684684, 600686856, 502229407680, 421048710399702, 353850940820272896, 297559086337985352342, 250245868582676224177920, 210457124398150484736248136, 176994552200522427108815081004]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-13}) \) |
$C_2$, $C_2$ |
1.29.aj $\times$ 1.29.ai |
| 2.29.aq_el |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 115 x^{2} - 464 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$14$ |
$[14, 816, 24422, 706724, 20499934, 594744750, 17249623174, 500246663620, 14507152072286, 420707250641136]$ |
$477$ |
$[477, 685449, 595565028, 499852030617, 420477251811597, 353768049390533904, 297553866161628778101, 250246599071751745341993, 210457372806786418930980036, 176994583446566922279260220009]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.182672.2 |
$D_{4}$ |
simple |
| 2.29.aq_em |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
|
✓ |
|
✓ |
✓ |
$1 - 16 x + 116 x^{2} - 464 x^{3} + 841 x^{4}$ |
$[0,\frac{1}{2},\frac{1}{2},1]$ |
$1$ |
$1$ |
$1$ |
$2$ |
$0$ |
$14$ |
$[14, 818, 24470, 707286, 20504254, 594769826, 17249754886, 500247472606, 14507157992750, 420707291300978]$ |
$478$ |
$[478, 687364, 596750974, 500249771920, 420565841187598, 353782963969011076, 297556138155418012558, 250247003764738555514880, 210457458695867285989365694, 176994600552457429524927528004]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.334080.7 |
$D_{4}$ |
simple |
| 2.29.aq_en |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 117 x^{2} - 464 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$14$ |
$[14, 820, 24518, 707844, 20508414, 594791686, 17249843366, 500247845124, 14507160366782, 420707307311700]$ |
$479$ |
$[479, 689281, 597937616, 500644779449, 420651155542399, 353795965823478016, 297557664400360176599, 250247190115568222420969, 210457493136314010418317776, 176994607288284503963392382401]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.23225.1 |
$D_{4}$ |
simple |
| 2.29.aq_eo |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 10 x + 29 x^{2} )( 1 - 6 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$14$ |
$[14, 822, 24566, 708398, 20512414, 594810342, 17249889286, 500247800158, 14507159554094, 420707303799702]$ |
$480$ |
$[480, 691200, 599124960, 501037056000, 420733195442400, 353807062158412800, 297558456493324374240, 250247167621141856256000, 210457481346524611472202720, 176994605810761422620100480000]$ |
$22$ |
$22$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) |
$C_2$, $C_2$ |
1.29.ak $\times$ 1.29.ag |
| 2.29.aq_ep |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 119 x^{2} - 464 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$14$ |
$[14, 824, 24614, 708948, 20516254, 594825806, 17249893318, 500247356644, 14507155910942, 420707285765864]$ |
$481$ |
$[481, 693121, 600313012, 501426604393, 420811961468041, 353816260182031504, 297558526031785217953, 250246945754415305198217, 210457428494765585497524628, 176994598223794570440788190481]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.235152.2 |
$D_{4}$ |
simple |
| 2.29.aq_eq |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 120 x^{2} - 464 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$14$ |
$[14, 826, 24662, 709494, 20519934, 594838090, 17249856134, 500246533470, 14507149790126, 420707258085786]$ |
$482$ |
$[482, 695044, 601501778, 501813427472, 420887454213922, 353823567106372804, 297557884613850678866, 250246533964404877426688, 210457339699172729402637026, 176994586578584497913644711684]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.127232.1 |
$D_{4}$ |
simple |
| 2.29.aq_er |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 9 x + 29 x^{2} )( 1 - 7 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$14$ |
$[14, 828, 24710, 710036, 20523454, 594847206, 17249778406, 500245349476, 14507141540990, 420707225510028]$ |
$483$ |
$[483, 696969, 602691264, 502197528105, 420959674288923, 353828990147383296, 297556543838290531683, 250245941676193296251145, 210457220027752022060723904, 176994572873726988958146898329]$ |
$6$ |
$6$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-67}) \) |
$C_2$, $C_2$ |
1.29.aj $\times$ 1.29.ah |
| 2.29.aq_es |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 8 x + 29 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$14$ |
$[14, 830, 24758, 710574, 20526814, 594853166, 17249660806, 500243823454, 14507131509422, 420707192664350]$ |
$484$ |
$[484, 698896, 603881476, 502578909184, 421028622316324, 353832536525003536, 297554515304565399364, 250245178290935893131264, 210457074498380565819081316, 176994559055314139713890140176]$ |
$5$ |
$5$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-13}) \) |
$C_2$ |
1.29.ai 2 |
| 2.29.ap_ea |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
|
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 104 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$15$ |
$[15, 825, 24390, 705889, 20495475, 594747366, 17249761215, 500246938849, 14507145975870, 420707192420625]$ |
$496$ |
$[496, 692416, 594785344, 499262402304, 420385823436976, 353769605437198336, 297556247322951060016, 250246736753209032858624, 210457284365185114179394624, 176994558952777265477797264576]$ |
$4$ |
$4$ |
$4$ |
$12$ |
$6$ |
\(\Q(\sqrt{-3}, \sqrt{41})\) |
$C_2^2$ |
simple |
| 2.29.ap_eb |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 105 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 827, 24435, 706371, 20498850, 594766667, 17249883855, 500247890563, 14507153047035, 420707235148502]$ |
$497$ |
$[497, 694309, 595893557, 499603232821, 420455022724352, 353781085327141549, 297558362859298428797, 250247212846105070413125, 210457386947634631797127457, 176994576928703430492283899904]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.642061.1 |
$D_{4}$ |
simple |
| 2.29.ap_ec |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 106 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 829, 24480, 706849, 20502075, 594783178, 17249972055, 500248520929, 14507157615840, 420707259865429]$ |
$498$ |
$[498, 696204, 597002400, 499941307584, 420521149074378, 353790905669280000, 297559884300454594218, 250247528185330298628864, 210457453227978946831293600, 176994587327293335295087891884]$ |
$10$ |
$10$ |
$2$ |
$2$ |
$1$ |
4.0.866844.2 |
$D_{4}$ |
simple |
| 2.29.ap_ed |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 107 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 831, 24525, 707323, 20505150, 594796911, 17250026445, 500248846483, 14507159971455, 420707270367606]$ |
$499$ |
$[499, 698101, 598111879, 500276629125, 420584202933904, 353799073644131941, 297560822515999692799, 250247691042979133629125, 210457487401244470110834139, 176994591745635434981747881216]$ |
$10$ |
$10$ |
$2$ |
$2$ |
$1$ |
4.0.37845.1 |
$D_{4}$ |
simple |
| 2.29.ap_ee |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 10 x + 29 x^{2} )( 1 - 5 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 833, 24570, 707793, 20508075, 594807878, 17250047655, 500248883713, 14507160399810, 420707270341673]$ |
$500$ |
$[500, 700000, 599222000, 500609200000, 420644184762500, 353805596435200000, 297561188375922114500, 250247709667169323200000, 210457493615456263768358000, 176994591734725528995437500000]$ |
$6$ |
$6$ |
$8$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-91}) \) |
$C_2$, $C_2$ |
1.29.ak $\times$ 1.29.af |
| 2.29.ap_ef |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 109 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 835, 24615, 708259, 20510850, 594816091, 17250036315, 500248649059, 14507159183595, 420707263364950]$ |
$501$ |
$[501, 701901, 600332769, 500939022789, 420701095032576, 353810481229047861, 297560992750640898801, 250247592282045909819429, 210457475971638511082243949, 176994588799567769195234635776]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.788949.1 |
$D_{4}$ |
simple |
| 2.29.ap_eg |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 110 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 837, 24660, 708721, 20513475, 594821562, 17249993055, 500248158913, 14507156602260, 420707252905677]$ |
$502$ |
$[502, 703804, 601444192, 501266100096, 420754934229502, 353813735215377664, 297560246511028670062, 250247347087785382080000, 210457438523815027120377952, 176994584399275674036152223004]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.613836.1 |
$D_{4}$ |
simple |
| 2.29.ap_eh |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 111 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 839, 24705, 709179, 20515950, 594824303, 17249918505, 500247429619, 14507152932015, 420707242323254]$ |
$503$ |
$[503, 705709, 602556275, 501590434549, 420805702851728, 353815365587108125, 297558960528435117203, 250246982260600018839909, 210457385279009811948275975, 176994579947173149312187465984]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.415909.1 |
$D_{4}$ |
simple |
| 2.29.ap_ei |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 9 x + 29 x^{2} )( 1 - 6 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 841, 24750, 709633, 20518275, 594824326, 17249813295, 500246477473, 14507148445830, 420707234868481]$ |
$504$ |
$[504, 707616, 603669024, 501912028800, 420853401410904, 353815379540453376, 297557145674711022744, 250246505952742430476800, 210457320197247648203533344, 176994576810895515931840797216]$ |
$12$ |
$12$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-5}) \) |
$C_2$, $C_2$ |
1.29.aj $\times$ 1.29.ag |
| 2.29.ap_ej |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 113 x^{2} - 435 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 843, 24795, 710083, 20520450, 594821643, 17249678055, 500245318723, 14507143413435, 420707233683798]$ |
$505$ |
$[505, 709525, 604782445, 502230885525, 420898030432000, 353813784275002525, 297554812822232846245, 250245926292510301659525, 210457247191554744878095705, 176994576312490545214144000000]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.78525.3 |
$D_{4}$ |
simple |
| 2.29.ap_ek |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
|
$( 1 - 8 x + 29 x^{2} )( 1 - 7 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$15$ |
$[15, 845, 24840, 710529, 20522475, 594816266, 17249513415, 500243969569, 14507138101320, 420707241803525]$ |
$506$ |
$[506, 711436, 605896544, 502547007424, 420939590453426, 353810586993799936, 297551972843927867186, 250245251384251340093184, 210457170127959429189763424, 176994579728519502212222402476]$ |
$0$ |
$0$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-67}) \) |
$C_2$, $C_2$ |
1.29.ai $\times$ 1.29.ah |
| 2.29.ao_dp |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 93 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 832, 24334, 705108, 20493636, 594765982, 17249866804, 500246330148, 14507137149766, 420707161799952]$ |
$515$ |
$[515, 697825, 593430380, 498711103625, 420348118639075, 353780677807382800, 297558068682649670795, 250246432252646222983625, 210457156323638860703253260, 176994546070439488109804820625]$ |
$2$ |
$2$ |
$2$ |
$2$ |
$1$ |
4.0.203840.5 |
$D_{4}$ |
simple |
| 2.29.ao_dq |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 94 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 834, 24376, 705518, 20496296, 594782226, 17249992832, 500247360094, 14507144089888, 420707199735714]$ |
$516$ |
$[516, 699696, 594461412, 499000796928, 420402654216516, 353790339944516784, 297560242682160784548, 250246947480450277404672, 210457257004984871416864068, 176994562030287409215500385456]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.62192.1 |
$D_{4}$ |
simple |
| 2.29.ao_dr |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 95 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 836, 24418, 705924, 20498816, 594796070, 17250091616, 500248150660, 14507149158154, 420707223104036]$ |
$517$ |
$[517, 701569, 595493008, 499287714937, 420454319741797, 353798574406841344, 297561946717229637421, 250247342959137902385513, 210457330531055500084876816, 176994571861508601990596404609]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.96912.2 |
$D_{4}$ |
simple |
| 2.29.ao_ds |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 96 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 838, 24460, 706326, 20501196, 594807526, 17250163744, 500248716126, 14507152584640, 420707234701878]$ |
$518$ |
$[518, 703444, 596525174, 499571859920, 420503115554998, 353805388356589876, 297563190931267558598, 250247625832171918791680, 210457380239592232385903894, 176994576740804286227571831604]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.1897280.1 |
$D_{4}$ |
simple |
| 2.29.ao_dt |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 97 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 840, 24502, 706724, 20503436, 594816606, 17250209804, 500249070724, 14507154596398, 420707237231400]$ |
$519$ |
$[519, 705321, 597557916, 499853234169, 420549042007599, 353810788958305296, 297563985467940841959, 250247803219018331942889, 210457409424467124496696956, 176994577804992593746096442601]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.2062400.2 |
$D_{4}$ |
simple |
| 2.29.ao_du |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 10 x + 29 x^{2} )( 1 - 4 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$16$ |
$[16, 842, 24544, 707118, 20505536, 594823322, 17250230384, 500249228638, 14507155417456, 420707233300202]$ |
$520$ |
$[520, 707200, 598591240, 500131840000, 420592099462600, 353814783378908800, 297564340471188249160, 250247882215148912640000, 210457421335683037833932680, 176994576151109550042910480000]$ |
$23$ |
$23$ |
$16$ |
$12$ |
$4$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-1}) \) |
$C_2$, $C_2$ |
1.29.ak $\times$ 1.29.ae |
| 2.29.ao_dv |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 99 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 844, 24586, 707508, 20507496, 594827686, 17250226072, 500249204004, 14507155268818, 420707225421564]$ |
$521$ |
$[521, 709081, 599625152, 500407679753, 420632288294641, 353817378787769344, 297564266085238996553, 250247869892043926412617, 210457419179373901036311488, 176994572836510059228989491081]$ |
$15$ |
$15$ |
$2$ |
$2$ |
$1$ |
4.0.122432.2 |
$D_{4}$ |
simple |
| 2.29.ao_dw |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 100 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 846, 24628, 707894, 20509316, 594829710, 17250197456, 500249010910, 14507154368464, 420707216014686]$ |
$522$ |
$[522, 710964, 600659658, 500680755792, 420669608890122, 353818582356773844, 297563772454631230986, 250247773297195014878208, 210457406117805000580715706, 176994568878968892560324755284]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.1746752.1 |
$D_{4}$ |
simple |
| 2.29.ao_dx |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 101 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 848, 24670, 708276, 20510996, 594829406, 17250145124, 500248663396, 14507152931350, 420707207404928]$ |
$523$ |
$[523, 712849, 601694764, 500951070505, 420704061647323, 353818401260398096, 297562869724230999523, 250247599454108233143945, 210457385269373301461373004, 176994565256781680883091712929]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.1465920.4 |
$D_{4}$ |
simple |
| 2.29.ao_dy |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 102 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 850, 24712, 708654, 20512536, 594826786, 17250069664, 500248175454, 14507151169408, 420707201824050]$ |
$524$ |
$[524, 714736, 602730476, 501218626304, 420735646976524, 353816842675778416, 297561568039251718124, 250247355362307247222784, 210457359708607799396533196, 176994562908865911328774635376]$ |
$18$ |
$18$ |
$2$ |
$2$ |
$1$ |
4.0.71600.1 |
$D_{4}$ |
simple |
| 2.29.ao_dz |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 9 x + 29 x^{2} )( 1 - 5 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 852, 24754, 709028, 20513936, 594821862, 17249971664, 500247561028, 14507149291546, 420707201410452]$ |
$525$ |
$[525, 716625, 603766800, 501483425625, 420764365300125, 353813913782784000, 297559877545274144325, 250247047997336695475625, 210457332466169906063091600, 176994562734861928609969040625]$ |
$24$ |
$24$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-91}) \) |
$C_2$, $C_2$ |
1.29.aj $\times$ 1.29.af |
| 2.29.ao_ea |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 104 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 854, 24796, 709398, 20515196, 594814646, 17249851712, 500246834014, 14507147503648, 420707208209414]$ |
$526$ |
$[526, 718516, 604803742, 501745470928, 420790217052766, 353809621764090004, 297557808388266858958, 250246684310765718131712, 210457306528853868895880158, 176994565595233941283097687956]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.505152.1 |
$D_{4}$ |
simple |
| 2.29.ao_eb |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 105 x^{2} - 406 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 856, 24838, 709764, 20516316, 594805150, 17249710396, 500246008260, 14507146008574, 420707224173336]$ |
$527$ |
$[527, 720409, 605841308, 502004764697, 420813202681447, 353803973805251344, 297555370714607261951, 250246271230191658979753, 210457284839587227024998396, 176994572311371033360155009209]$ |
$5$ |
$5$ |
$2$ |
$2$ |
$1$ |
4.0.245312.1 |
$D_{4}$ |
simple |
| 2.29.ao_ec |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 8 x + 29 x^{2} )( 1 - 6 x + 29 x^{2} )$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$16$ |
$[16, 858, 24880, 710126, 20517296, 594793386, 17249548304, 500245097566, 14507145006160, 420707251161978]$ |
$528$ |
$[528, 722304, 606879504, 502261309440, 420833322645648, 353796977094777216, 297552574671103087248, 250245815659243943362560, 210457270297431304961570064, 176994583665688181667842181504]$ |
$16$ |
$16$ |
$4$ |
$2$ |
$1$ |
\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-5}) \) |
$C_2$, $C_2$ |
1.29.ai $\times$ 1.29.ag |
| 2.29.ao_ed |
$2$ |
$\F_{29}$ |
$29$ |
|
|
✓ |
✓ |
|
|
✓ |
✓ |
$( 1 - 7 x + 29 x^{2} )^{2}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$1$ |
$1$ |
$16$ |
$[16, 860, 24922, 710484, 20518136, 594779366, 17249366024, 500244115684, 14507144693218, 420707290942700]$ |
$529$ |
$[529, 724201, 607918336, 502515107689, 420850577417449, 353788638824206336, 297549430405014441889, 250245324477588136648329, 210457265757581745679687936, 176994600401727279369074345401]$ |
$3$ |
$3$ |
$6$ |
$6$ |
$1$ |
\(\Q(\sqrt{-67}) \) |
$C_2$ |
1.29.ah 2 |
| 2.29.an_df |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 83 x^{2} - 377 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$17$ |
$[17, 839, 24299, 704811, 20496382, 594804647, 17250004243, 500246136691, 14507137145321, 420707205369974]$ |
$535$ |
$[535, 703525, 592598635, 498501633925, 420404419718800, 353803675692655525, 297560439503388563155, 250246335477629967128325, 210457156259150567015729695, 176994564400661741126889760000]$ |
$4$ |
$4$ |
$2$ |
$2$ |
$1$ |
4.0.1318797.1 |
$D_{4}$ |
simple |
| 2.29.an_dg |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 84 x^{2} - 377 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$17$ |
$[17, 841, 24338, 705153, 20498397, 594817606, 17250114353, 500246970273, 14507141795642, 420707226692481]$ |
$536$ |
$[536, 705376, 593553536, 498743154560, 420445732619896, 353811384255379456, 297562338916222293176, 250246752474241697000960, 210457223722006944273282176, 176994573371193988897424293216]$ |
$12$ |
$12$ |
$2$ |
$2$ |
$1$ |
4.0.591500.2 |
$D_{4}$ |
simple |
| 2.29.an_dh |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 85 x^{2} - 377 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$17$ |
$[17, 843, 24377, 705491, 20500282, 594828531, 17250203533, 500247633091, 14507145127373, 420707237541078]$ |
$537$ |
$[537, 707229, 594508941, 498981884805, 420484379299152, 353817882828787221, 297563877283980243837, 250247084046867354223845, 210457272055898072146978881, 176994577935276700701085691904]$ |
$8$ |
$8$ |
$2$ |
$2$ |
$1$ |
4.0.3144245.1 |
$D_{4}$ |
simple |
| 2.29.an_di |
$2$ |
$\F_{29}$ |
$29$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 86 x^{2} - 377 x^{3} + 841 x^{4}$ |
$[0,0,1,1]$ |
$0$ |
$2$ |
$0$ |
$2$ |
$0$ |
$17$ |
$[17, 845, 24416, 705825, 20502037, 594837434, 17250272329, 500248137313, 14507147319056, 420707239898405]$ |
$538$ |
$[538, 709084, 595464856, 499217826688, 420520360012738, 353823178563533056, 297565064024868794482, 250247336282447614483968, 210457303850956751832994072, 176994578927020925781291342844]$ |
$6$ |
$6$ |
$2$ |
$2$ |
$1$ |
4.0.3677868.2 |
$D_{4}$ |
simple |
