| 17.1.133094720815439153.1 |
x17 - 2x16 + 7x15 - 12x14 + 22x13 - 34x12 + 46x11 - 61x10 + 65x9 - 65x8 + 53x7 - 36x6 + 20x5 - 5x4 - x3 + 4x2 - 2x + 1 |
\( 316968877\cdot 419898389 \) |
$S_{17}$ (as 17T10) |
Trivial
|
| 17.1.231494845017984433.1 |
x17 - x16 + 2x13 + x12 - 5x11 + x10 + 3x9 + 3x8 - x7 - 7x6 + 2x5 + 6x4 + x3 - 3x2 - 3x - 1 |
\( 59^{2}\cdot 1217\cdot 1579\cdot 34607051 \) |
$S_{17}$ (as 17T10) |
Trivial
|
| 17.1.142063412679164600644.1 |
x17 - 2x16 - x15 + 5x14 - x13 - 8x12 + 6x11 + 8x10 - 11x9 - 3x8 + 13x7 - 3x6 - 8x5 + 5x4 + 3x3 - 3x2 + 1 |
\( 2^{2}\cdot 1697\cdot 20928611178427313 \) |
$S_{17}$ (as 17T10) |
Trivial
|
| 17.1.463009808974713123841.1 |
x17 - x16 - x15 - x14 + x12 + 13x11 + 7x10 + 11x9 + 4x8 + x7 + 7x6 + 23x5 + 31x4 + 42x3 + 24x2 + 6x - 1 |
\( 383^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.808793517812627212561.1 |
x17 - x - 1 |
\( 808793517812627212561 \) |
$S_{17}$ (as 17T10) |
Trivial
|
| 17.1.1030463898345852385032.1 |
x17 - 2x16 - x15 + 5x14 - x13 - 8x12 + 6x11 + 8x10 - 11x9 - 3x8 + 12x7 - 3x6 - 7x5 + 5x4 + 3x3 - 3x2 + 1 |
\( 2^{3}\cdot 3^{2}\cdot 373\cdot 38369969405192597 \) |
$S_{17}$ (as 17T10) |
Trivial
|
| 17.1.17578609656292078845952.1 |
x17 - 4x - 4 |
\( 2^{16}\cdot 63535033\cdot 4221738529 \) |
$S_{17}$ (as 17T10) |
Trivial
|
| 17.1.124890250818288107857441.1 |
x17 - 4x16 + 6x15 - 5x14 + 7x13 - 17x12 + 24x11 - 16x10 + 42x9 - 83x8 + 82x7 - 72x6 + 37x5 + 24x4 - 10x3 + 14x2 - 2x + 1 |
\( 11^{8}\cdot 17^{12} \) |
$C_{17}:C_{4}$ (as 17T3) |
Trivial
|
| 17.1.239072435685151324847153.1 |
x17 - 34x12 + 17x11 + 85x10 + 102x9 - 170x8 - 272x7 - 68x6 + 255x5 + 255x4 + 68x3 + 17x2 + 17x + 4 |
\( 17^{19} \) |
$F_{17}$ (as 17T5) |
Trivial
|
| 17.1.604462909807314587353088.1 |
x17 - 2x16 + 8x13 + 16x12 - 16x11 + 64x9 - 32x8 - 80x7 + 32x6 + 40x5 + 80x4 + 16x3 - 128x2 - 2x + 68 |
\( 2^{79} \) |
$F_{17}$ (as 17T5) |
Trivial
|
| 17.1.930227631978098127294721.1 |
x17 - x16 + 4x15 - 18x14 + 11x13 + 14x12 + 21x11 - 62x10 + 14x9 + 50x8 + 54x7 - 121x6 - 7x5 + 36x4 + 64x3 - 23x2 + 43x + 1 |
\( 991^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.1837263966425479287178561.1 |
x17 - x16 + 5x15 - 19x14 + 26x13 - 30x12 + 44x11 - 48x10 + 39x9 - 62x8 + 30x7 + 112x6 - 4x5 + 16x4 - 62x3 + 180x2 + 35x + 49 |
\( 13^{8}\cdot 83^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.2007233999721653909999521.1 |
x17 - 2x16 + 4x15 - 18x14 + 10x13 - 16x12 + 44x11 + 10x10 + 72x9 + 18x8 + 134x7 + 88x6 + 275x5 + 200x4 + 220x3 + 240x2 + 80x + 64 |
\( 1091^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
(GRH)
|
| 17.1.2418678879491144686176529.1 |
x17 + 2x - 1 |
\( 71437\cdot 234281\cdot 144516666425357 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.6561080120160164763992064.1 |
x17 + 4x - 4 |
\( 2^{16}\cdot 3\cdot 33371379191895369283 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.10582983069512347410470401.1 |
x17 - 3x16 - 2x15 + 24x14 - 20x13 - 80x12 + 115x11 + 27x10 + 132x9 - 302x8 - 219x7 - 172x6 + 41x5 - 25x4 + 44x3 + 39x2 - 2x - 23 |
\( 17^{8}\cdot 79^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.16071318903145633687890625.1 |
x17 - 4x16 + x15 + 16x14 - 30x13 - 2x12 + 88x11 + 143x10 + 133x9 - 515x8 - 803x7 - 68x6 + 1252x5 + 2972x4 + 2855x3 + 1505x2 + 550x + 125 |
\( 5^{8}\cdot 283^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
(GRH)
|
| 17.1.34895459505131153638432321.1 |
x17 - 2x16 - 3x14 + 24x13 + 18x12 - 138x10 - 203x9 - 75x8 + 352x7 + 588x6 + 384x5 + 132x4 + 493x3 + 1015x2 + 874x + 337 |
\( 1559^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.37103038784156796454937761.1 |
x17 - x16 + 5x15 + 9x14 - 13x13 + 17x12 + 56x11 - 62x10 + 55x9 - 535x8 + 181x7 - 1027x6 + 661x5 - 1041x4 + 166x3 - 416x2 - 88x - 16 |
\( 1571^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
(GRH)
|
| 17.1.44542611246065932779454464.1 |
x17 - 4x9 - 18x6 - 12x3 + 4x - 2 |
\( 2^{16}\cdot 3\cdot 271\cdot 835997920414096373 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.51796166163753707827691520.1 |
x17 - 2x - 2 |
\( 2^{16}\cdot 3\cdot 5\cdot 379\cdot 139023179197698797 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.54213999356238892467552256.1 |
x17 - x - 2 |
\( 2^{16}\cdot 2387563\cdot 346478807223667 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.54214017802701491200393216.1 |
x17 - x - 4 |
\( 2^{16}\cdot 67\cdot 12346869580328982043 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.54214017802982966177103872.1 |
x17 - 2 |
\( 2^{16}\cdot 17^{17} \) |
$F_{17}$ (as 17T5) |
Trivial
|
| 17.1.56631869442212224526516224.1 |
x17 + 2x - 2 |
\( 2^{16}\cdot 23\cdot 37\cdot 67\cdot 15155721101316377 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.58497592625273225470725121.1 |
x17 - 2x16 + 9x15 - 23x14 + 59x13 - 112x12 + 156x11 - 49x10 + 221x9 - 25x8 - 162x7 - 4x6 + 553x5 + 1435x4 + 1716x3 + 1462x2 + 615x + 225 |
\( 1663^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.63885424359899999574753280.1 |
x17 + 4x9 - 18x6 + 12x3 + 4x - 2 |
\( 2^{16}\cdot 5\cdot 7\cdot 27851834699314662203 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.92267897090016343666010049.1 |
x17 - 34x14 - 68x13 + 17x12 + 323x11 + 884x10 + 1241x9 + 1394x8 + 1003x7 + 935x6 + 663x5 + 901x4 + 578x3 + 493x2 + 136x + 57 |
\( 3^{8}\cdot 17^{18} \) |
$C_{17}:C_{8}$ (as 17T4) |
Trivial
|
| 17.1.102143502423134353014546241.1 |
x17 - 7x16 + 30x15 - 61x14 + 115x13 - 158x12 + 94x11 - 111x10 + 268x9 - 411x8 + 465x7 - 473x6 + 314x5 - 109x4 + 446x3 - 498x2 + 175x + 1 |
\( 1783^{8} \) |
$D_{17}$ (as 17T2) |
Trivial
|
| 17.1.323140727299350298506640625.1 |
x17 + 17x15 + 119x13 + 442x11 + 935x9 + 1122x7 + 714x5 + 204x3 + 17x - 1 |
\( 5^{8}\cdot 17^{17} \) |
$F_{17}$ (as 17T5) |
Trivial
|
| 17.1.1519687851595448316396690681.1 |
x17 + 3x - 3 |
\( 3^{16}\cdot 35388253\cdot 997597133837 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.2382216363738397396683917585.1 |
x17 + 3x - 1 |
\( 5\cdot 90341351171\cdot 5273811677288927 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.2436429554301118476524257280.1 |
x17 + 3x - 2 |
\( 2^{16}\cdot 5\cdot 19\cdot 391336469839175330959 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.3469692417024426965689434112.1 |
x17 - 4x - 8 |
\( 2^{22}\cdot 83\cdot 9966736578149758091 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.3469701861757392704979861504.1 |
x17 + 4x - 8 |
\( 2^{22}\cdot 3\cdot 19919\cdot 40311581\cdot 343410553 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.13878788557563638241826963456.1 |
x17 - x - 8 |
\( 2^{24}\cdot 229\cdot 71347\cdot 50631461593807 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.28463334143893665868528653393.1 |
x17 - 9x - 9 |
\( 3^{16}\cdot 47\cdot 4547\cdot 88289\cdot 35044210933 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.33227765216889936889222960209.1 |
x17 - 3x - 3 |
\( 3^{16}\cdot 771900029665208109329 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.35607562901748843141220701265.1 |
x17 - 2x - 3 |
\( 5\cdot 11\cdot 211\cdot 84719\cdot 1328711\cdot 27257483264677 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.35609980734941328325860562001.1 |
x17 - x - 3 |
\( 1181\cdot 6719\cdot 4487631626231289499259 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.35609980753388072399570113617.1 |
x17 - 3 |
\( 3^{16}\cdot 17^{17} \) |
$F_{17}$ (as 17T5) |
Trivial
(GRH)
|
| 17.1.35609980771834816473279665233.1 |
x17 + x - 3 |
\( 79\cdot 101\cdot 13267\cdot 336395784580060614881 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.42756627362882478930611573841.1 |
x17 + 9x - 9 |
\( 3^{16}\cdot 89\cdot 421\cdot 811\cdot 827\cdot 39524364797 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.65533882524540008146301681664.1 |
x17 + 7x - 4 |
\( 2^{16}\cdot 3\cdot 31\cdot 10752340751490440474693 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.266353469466055312828111323136.1 |
x17 + 17x15 + 85x13 - 68x12 + 595x11 - 1496x10 + 3638x9 - 4420x8 - 952x7 - 816x6 + 9248x5 - 7616x4 + 10880x3 - 4352x2 - 4096 |
\( 2^{16}\cdot 17^{20} \) |
$C_{17}:C_{4}$ (as 17T3) |
Trivial
(GRH)
|
| 17.1.316966864074860333340352905216.1 |
x17 + 4x - 2 |
\( 2^{16}\cdot 3\cdot 7\cdot 872441\cdot 263984587017258421 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.352522630810445422773745914961.1 |
x17 + 4x - 3 |
\( 95435513140183\cdot 3693830726226967 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.544810062656250000000000000000.1 |
x17 - 5x16 + 40x15 - 140x14 + 610x13 - 1622x12 + 4870x11 - 10220x10 + 22720x9 - 38080x8 + 63500x7 - 84100x6 + 102200x5 - 102400x4 + 83000x3 - 55864x2 + 24080x - 9400 |
\( 2^{16}\cdot 3^{20}\cdot 5^{22} \) |
$\PSL(2,16):C_4$ (as 17T8) |
Trivial
(GRH)
|
| 17.1.633879514131917683714528706560.1 |
x17 + 8x - 4 |
\( 2^{16}\cdot 5\cdot 106879433\cdot 18099335907178549 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
| 17.1.888241863221163110531082485760.1 |
x17 - 2x - 4 |
\( 2^{30}\cdot 3\cdot 5\cdot 29\cdot 1901700457325019179 \) |
$S_{17}$ (as 17T10) |
Trivial
(GRH)
|
