| 18.4.3221287037577650765824.1 |
x18 - 4x16 + 10x14 - 16x12 + 4x10 + 20x8 - 26x6 + 14x4 - 5x2 + 1 |
\( -\,2^{18}\cdot 31^{6}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.0.3221287037577650765824.2 |
x18 + 2x16 + 3x14 - 2x12 - 13x10 + 6x6 + 3x2 + 1 |
\( -\,2^{18}\cdot 31^{6}\cdot 61^{4} \) |
18T632 |
Trivial
|
| 18.4.3221287037577650765824.2 |
x18 + x16 - 3x14 - 12x12 - 17x10 - 4x8 + 14x6 + 14x4 + 6x2 + 1 |
\( -\,2^{18}\cdot 31^{6}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.0.3435531027183254634496.1 |
x18 + 2x16 + 4x14 + 10x12 + 10x10 + 19x8 + 29x6 + 20x4 + 7x2 + 1 |
\( -\,2^{18}\cdot 23^{6}\cdot 97^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.2.99859898164907173740544.1 |
x18 + 9x16 + 36x14 + 82x12 + 110x10 + 69x8 - 32x6 - 106x4 - 91x2 - 31 |
\( 2^{18}\cdot 31^{7}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.6.99859898164907173740544.1 |
x18 - 11x16 + 55x14 - 153x12 + 245x10 - 206x8 + 39x6 + 32x4 + 30x2 - 31 |
\( 2^{18}\cdot 31^{7}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.2.99859898164907173740544.2 |
x18 + 5x16 + 7x14 - 5x12 + 2x10 + 3x8 - 45x6 - 48x4 - 88x2 - 31 |
\( 2^{18}\cdot 31^{7}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.6.99859898164907173740544.2 |
x18 - 2x16 - 5x14 - 8x12 + 66x10 - 75x8 + 34x6 - 59x4 + 78x2 - 31 |
\( 2^{18}\cdot 31^{7}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.12.70853239618582582520971264.1 |
x18 - 5x16 - 10x14 + 75x12 - 71x10 - 53x8 + 73x6 - 12x2 + 1 |
\( -\,2^{18}\cdot 37^{4}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.4.70853239618582582520971264.1 |
x18 + 4x16 - 10x14 - 54x12 - 32x10 + 66x8 + 99x6 + 52x4 + 12x2 + 1 |
\( -\,2^{18}\cdot 37^{4}\cdot 229^{6} \) |
18T632 |
$[2]$
(GRH)
|
| 18.8.70853239618582582520971264.1 |
x18 + 2x16 - 20x14 - 44x12 + 52x10 + 118x8 - x6 - 50x4 - 6x2 + 1 |
\( -\,2^{18}\cdot 37^{4}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.12.70853239618582582520971264.2 |
x18 + 3x16 - 13x14 - 15x12 + 59x10 - 10x8 - 62x6 + 47x4 - 12x2 + 1 |
\( -\,2^{18}\cdot 37^{4}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.4.70853239618582582520971264.2 |
x18 + 12x16 + 47x14 + 59x12 - 53x10 - 198x8 - 168x6 - 49x4 - x2 + 1 |
\( -\,2^{18}\cdot 37^{4}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.8.70853239618582582520971264.2 |
x18 + x16 - 18x14 - 8x12 + 89x10 + 15x8 - 118x6 + 25x4 + 13x2 + 1 |
\( -\,2^{18}\cdot 37^{4}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.10.246680598306314931248330713.1 |
x18 - 2x17 - 15x16 + 53x15 - 32x14 - 158x13 + 608x12 - 943x11 - 136x10 + 2859x9 - 4302x8 + 1564x7 + 3080x6 - 4559x5 + 2151x4 + 583x3 - 1336x2 + 819x - 227 |
\( 37^{4}\cdot 97^{3}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.6.1063111737017833294972635037.1 |
x18 - 3x17 + x16 - 4x15 - 2x14 + 212x13 - 778x12 + 916x11 + 585x10 - 2542x9 + 528x8 + 2845x7 - 667x6 - 1007x5 - 512x4 + 242x3 + 334x2 + 99x + 9 |
\( 11^{6}\cdot 37^{7}\cdot 43^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.10.15787558291604155599893165632.1 |
x18 - x17 - 15x16 + 12x15 + 28x14 - 25x13 + 181x12 + 67x11 - 226x10 - 628x9 - 1158x8 - 60x7 - 169x6 + 4198x5 + 6896x4 + 2488x3 - 5456x2 - 11584x - 4288 |
\( 2^{6}\cdot 37^{4}\cdot 97^{3}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.6.15787558291604155599893165632.1 |
x18 - 3x17 + x16 + 56x15 - 253x14 + 648x13 - 1168x12 + 1465x11 - 1866x10 + 2517x9 - 1947x8 - 1604x7 + 9058x6 - 22594x5 + 38645x4 - 42317x3 + 29732x2 - 11944x + 1997 |
\( 2^{6}\cdot 37^{4}\cdot 97^{3}\cdot 229^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.14.875566651877667550900431618048.1 |
x18 - 19x16 + 111x14 - 207x12 - 136x10 + 676x8 - 245x6 - 303x4 + 198x2 - 27 |
\( 2^{18}\cdot 3^{9}\cdot 7^{4}\cdot 643^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.14.875566651877667550900431618048.2 |
x18 - 23x16 + 164x14 - 477x12 + 375x10 + 878x8 - 1847x6 + 825x4 + 180x2 - 27 |
\( 2^{18}\cdot 3^{9}\cdot 7^{4}\cdot 643^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.0.1588991331185396666448931454976.1 |
x18 + 26x16 + 271x14 + 1473x12 + 4554x10 + 8187x8 + 8378x6 + 4526x4 + 1064x2 + 49 |
\( -\,2^{18}\cdot 3^{6}\cdot 7^{6}\cdot 643^{6} \) |
18T632 |
$[2, 2, 52]$
(GRH)
|
| 18.0.42902765942005709994121149284352.1 |
x18 + 36x16 + 484x14 + 3305x12 + 12769x10 + 28966x8 + 38380x6 + 28335x4 + 10332x2 + 1323 |
\( -\,2^{18}\cdot 3^{9}\cdot 7^{6}\cdot 643^{6} \) |
18T632 |
$[2, 2, 2, 240]$
(GRH)
|
| 18.18.42902765942005709994121149284352.1 |
x18 - 36x16 + 484x14 - 3305x12 + 12769x10 - 28966x8 + 38380x6 - 28335x4 + 10332x2 - 1323 |
\( 2^{18}\cdot 3^{9}\cdot 7^{6}\cdot 643^{6} \) |
18T632 |
Trivial
(GRH)
|
| 18.18.278688363188802891277306439139328.1 |
x18 - 54x16 + 1117x14 - 11754x12 + 69266x10 - 235727x8 + 459947x6 - 492914x4 + 260110x2 - 50653 |
\( 2^{18}\cdot 11^{6}\cdot 37^{7}\cdot 43^{6} \) |
18T632 |
Trivial
(GRH)
|
