| 24.0.304383340063522342681884765625.1 |
x24 - x23 + x19 - x18 + x17 - x16 + x14 - x13 + x12 - x11 + x10 - x8 + x7 - x6 + x5 - x + 1 |
\( 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.572565594852444156646728515625.1 |
x24 - x21 + x15 - x12 + x9 - x3 + 1 |
\( 3^{36}\cdot 5^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.1706902865139206151939937338729.1 |
x24 - x23 + x21 - x20 + x18 - x17 + x15 - x14 + x12 - x10 + x9 - x7 + x6 - x4 + x3 - x + 1 |
\( 3^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2]$
(GRH)
|
| 24.0.53885714612646242347927893704704.1 |
x24 - x22 + x20 - x18 + x16 - x14 + x12 - x10 + x8 - x6 + x4 - x2 + 1 |
\( 2^{24}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3]$
(GRH)
|
| 24.0.67372672480923938907623291015625.1 |
x24 - x23 - 2x22 + 5x21 - 4x20 + 8x19 + 15x18 - 59x17 + 26x16 + 114x15 + 34x14 - 119x13 - 10x12 - 196x11 - 198x10 + 289x9 + 559x8 - 307x7 + 22x6 + 46x5 - 22x4 + 12x3 - x2 - 2x + 1 |
\( 3^{12}\cdot 5^{18}\cdot 7^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.784140351063197047157560791015625.1 |
x24 - x23 + 2x22 - 3x21 + 5x20 - 8x19 + 13x18 - 21x17 + 34x16 - 55x15 + 89x14 - 144x13 + 233x12 + 144x11 + 89x10 + 55x9 + 34x8 + 21x7 + 13x6 + 8x5 + 5x4 + 3x3 + 2x2 + x + 1 |
\( 5^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 2]$
(GRH)
|
| 24.0.2126907556454464000000000000000000.1 |
x24 - 5x22 + 19x20 - 66x18 + 221x16 - 358x14 + 530x12 - 723x10 + 793x8 - 157x6 + 31x4 - 6x2 + 1 |
\( 2^{24}\cdot 5^{18}\cdot 7^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3]$
(GRH)
|
| 24.0.44455984353110737022824200630534169.1 |
x24 - x23 - x22 + 3x21 - x20 - 5x19 + 7x18 + 3x17 - 17x16 + 11x15 + 23x14 - 45x13 - x12 - 90x11 + 92x10 + 88x9 - 272x8 + 96x7 + 448x6 - 640x5 - 256x4 + 1536x3 - 1024x2 - 2048x + 4096 |
\( 7^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[7]$
(GRH)
|
| 24.0.72498183345339963679508209228515625.1 |
x24 - x23 + 6x22 - 7x21 + 27x20 - 19x19 + 94x18 - 58x17 + 317x16 - 205x15 + 643x14 - 353x13 + 1114x12 - 86x11 + 1318x10 - 237x9 + 1501x8 - 593x7 + 614x6 - 193x5 + 250x4 + 59x3 + 15x2 + 3x + 1 |
\( 5^{18}\cdot 13^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 2, 2, 2]$
(GRH)
|
| 24.0.118593292086517824000000000000000000.1 |
x24 - 6x22 + 27x20 - 109x18 + 417x16 - 927x14 + 1918x12 - 3582x10 + 5157x8 - 622x6 + 75x4 - 9x2 + 1 |
\( 2^{24}\cdot 3^{32}\cdot 5^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3]$
(GRH)
|
| 24.0.156938077449417789520626992646455296.1 |
x24 + 117x16 + 650x8 + 1 |
\( 2^{72}\cdot 7^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3, 3]$
(GRH)
|
| 24.0.161761786626698377317203521728515625.1 |
x24 - x23 + 7x22 - 7x21 + 35x20 - 34x19 + 153x18 - 146x17 + 629x16 - 588x15 + 1618x14 - 1394x13 + 3557x12 - 2395x11 + 6504x10 - 4802x9 + 10534x8 - 8224x7 + 6187x6 - 3548x5 + 2534x4 - 378x3 + 56x2 - 8x + 1 |
\( 3^{12}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[26]$
(GRH)
|
| 24.24.161761786626698377317203521728515625.1 |
x24 - x23 - 23x22 + 23x21 + 230x20 - 229x19 - 1312x18 + 1294x17 + 4709x16 - 4573x15 - 11067x14 + 10506x13 + 17187x12 - 15810x11 - 17391x10 + 15333x9 + 11034x8 - 9189x7 - 4088x6 + 3142x5 + 784x4 - 528x3 - 64x2 + 32x + 1 |
\( 3^{12}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.161761786626698377317203521728515625.2 |
x24 - x23 + 5x22 - 5x21 + 20x20 - 19x19 + 74x18 - 99x17 + 299x16 - 380x15 + 1106x14 - 1331x13 + 3936x12 - 4456x11 + 5996x10 - 6745x9 + 8969x8 - 7509x7 + 10409x6 + 2176x5 + 455x4 + 95x3 + 20x2 + 4x + 1 |
\( 3^{12}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[26]$
(GRH)
|
| 24.0.161761786626698377317203521728515625.3 |
x24 - x23 + 13x22 - 10x21 + 101x20 - 67x19 + 500x18 - 254x17 + 1781x16 - 706x15 + 4524x14 - 1119x13 + 8400x12 - 1296x11 + 11097x10 - 456x9 + 10104x8 - 327x7 + 5722x6 + 151x5 + 1858x4 - 228x3 + 104x2 + 8x + 1 |
\( 3^{12}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[26]$
(GRH)
|
| 24.0.220715887053399008657112652614467584.1 |
x24 - 2x22 + 4x20 - 8x18 + 16x16 - 32x14 + 64x12 - 128x10 + 256x8 - 512x6 + 1024x4 - 2048x2 + 4096 |
\( 2^{36}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[9]$
(GRH)
|
| 24.0.220715887053399008657112652614467584.2 |
x24 + 2x22 + 4x20 + 8x18 + 16x16 + 32x14 + 64x12 + 128x10 + 256x8 + 512x6 + 1024x4 + 2048x2 + 4096 |
\( 2^{36}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[13]$
(GRH)
|
| 24.0.1348990128329918967746280670166015625.1 |
x24 - x23 - 4x22 + 15x21 - 16x20 + 62x19 + 163x18 - 809x17 + 670x16 + 3344x15 + 2796x14 - 2771x13 - 4594x12 - 11446x11 - 11444x10 + 8739x9 + 34835x8 + 8891x7 - 162x6 - 698x5 - 196x4 - 50x3 + x2 + 4x + 1 |
\( 3^{12}\cdot 5^{18}\cdot 13^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
$[4, 4]$
(GRH)
|
| 24.0.5106705043047168064000000000000000000.1 |
x24 + 25x22 + 274x20 + 1729x18 + 6936x16 + 18427x14 + 32745x12 + 38377x10 + 28468x8 + 12278x6 + 2556x4 + 144x2 + 1 |
\( 2^{24}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[78]$
(GRH)
|
| 24.24.5106705043047168064000000000000000000.1 |
x24 - 23x22 + 230x20 - 1311x18 + 4692x16 - 10949x14 + 16757x12 - 16511x10 + 10032x8 - 3498x6 + 628x4 - 48x2 + 1 |
\( 2^{24}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.5106705043047168064000000000000000000.2 |
x24 + 7x22 + 35x20 + 154x18 + 637x16 + 1666x14 + 3822x12 + 7889x10 + 13377x8 + 9947x6 + 7203x4 + 4802x2 + 2401 |
\( 2^{24}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[26]$
(GRH)
|
| 24.0.5106705043047168064000000000000000000.3 |
x24 + 5x22 + 20x20 + 75x18 + 275x16 + 1000x14 + 3625x12 + 5000x10 + 6875x8 + 9375x6 + 12500x4 + 15625x2 + 15625 |
\( 2^{24}\cdot 5^{18}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[26]$
(GRH)
|
| 24.0.5887630061813314259984772021002174464.1 |
x24 - 4x22 + 14x20 - 48x18 + 164x16 - 560x14 + 1912x12 - 1120x10 + 656x8 - 384x6 + 224x4 - 128x2 + 64 |
\( 2^{66}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3, 6]$
(GRH)
|
| 24.0.5887630061813314259984772021002174464.2 |
x24 + 4x22 + 14x20 + 48x18 + 164x16 + 560x14 + 1912x12 + 1120x10 + 656x8 + 384x6 + 224x4 + 128x2 + 64 |
\( 2^{66}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[52]$
(GRH)
|
| 24.0.8711813351237484544000000000000000000.1 |
x24 - 10x22 + 76x20 - 528x18 + 3536x16 - 11456x14 + 33920x12 - 92544x10 + 203008x8 - 80384x6 + 31744x4 - 12288x2 + 4096 |
\( 2^{36}\cdot 5^{18}\cdot 7^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3, 3]$
(GRH)
|
| 24.0.8711813351237484544000000000000000000.2 |
x24 + 10x22 + 76x20 + 528x18 + 3536x16 + 11456x14 + 33920x12 + 92544x10 + 203008x8 + 80384x6 + 31744x4 + 12288x2 + 4096 |
\( 2^{36}\cdot 5^{18}\cdot 7^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
$[73]$
(GRH)
|
| 24.0.8750640431914714140510423543328014336.1 |
x24 + 186x16 + 4725x8 + 1 |
\( 2^{72}\cdot 3^{32} \) |
$C_2\times C_{12}$ (as 24T2) |
$[39]$
(GRH)
|
| 24.0.8973071778116912219457090949865341129.1 |
x24 - x23 - x22 + 7x21 - 12x20 - 3x19 + 58x18 + 153x17 - 245x16 + 180x15 + 748x14 - 2547x13 + 2506x12 + 5040x11 + 4818x10 + 2767x9 + 239x8 - 1621x7 - 2243x6 - 1860x5 - 855x4 + 189x3 + 810x2 + 972x + 729 |
\( 7^{20}\cdot 13^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
$[4, 4]$
(GRH)
|
| 24.0.9606056659007943744000000000000000000.1 |
x24 + 24x22 + 252x20 + 1521x18 + 5832x16 + 14823x14 + 25298x12 + 28743x10 + 21087x8 + 9393x6 + 2250x4 + 216x2 + 1 |
\( 2^{24}\cdot 3^{36}\cdot 5^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
$[5, 30]$
(GRH)
|
| 24.24.9606056659007943744000000000000000000.1 |
x24 - 24x22 + 252x20 - 1519x18 + 5796x16 - 14553x14 + 24206x12 - 26169x10 + 17523x8 - 6623x6 + 1182x4 - 72x2 + 1 |
\( 2^{24}\cdot 3^{36}\cdot 5^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.9606056659007943744000000000000000000.2 |
x24 + 6x22 + 27x20 + 111x18 + 441x16 + 837x14 + 1386x12 + 2106x10 + 2673x8 + 1242x6 + 567x4 + 243x2 + 81 |
\( 2^{24}\cdot 3^{36}\cdot 5^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
$[5, 10]$
(GRH)
|
| 24.0.9606056659007943744000000000000000000.3 |
x24 + 50x18 + 2375x12 + 6250x6 + 15625 |
\( 2^{24}\cdot 3^{36}\cdot 5^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
$[5, 10]$
(GRH)
|
| 24.0.10080126276029253939999801345921207049.1 |
x24 - x23 - 2x22 + 5x21 + x20 - 16x19 + 13x18 + 35x17 - 74x16 - 31x15 + 253x14 - 160x13 - 599x12 - 480x11 + 2277x10 - 837x9 - 5994x8 + 8505x7 + 9477x6 - 34992x5 + 6561x4 + 98415x3 - 118098x2 - 177147x + 531441 |
\( 11^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[35]$
(GRH)
|
| 24.0.11075029296642060084083504797024518144.1 |
x24 - 40x18 + 1592x12 - 320x6 + 64 |
\( 2^{66}\cdot 3^{36} \) |
$C_2\times C_{12}$ (as 24T2) |
$[13]$
(GRH)
|
| 24.0.11075029296642060084083504797024518144.2 |
x24 + 40x18 + 1592x12 + 320x6 + 64 |
\( 2^{66}\cdot 3^{36} \) |
$C_2\times C_{12}$ (as 24T2) |
$[13]$
(GRH)
|
| 24.24.12252192985362453861836887359619140625.1 |
x24 - x23 - 24x22 + 23x21 + 252x20 - 229x19 - 1521x18 + 1292x17 + 5832x16 - 4540x15 - 14822x14 + 10282x13 + 25284x12 - 15001x11 - 28667x10 + 13653x9 + 20886x8 - 7168x7 - 9126x6 + 1802x5 + 2085x4 - 101x3 - 180x2 - 12x + 1 |
\( 5^{18}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.16878953293629664473677397903764439609.1 |
x24 - 17x21 + 218x18 - 1277x15 + 5609x12 + 3403x9 - 692x6 + 945x3 + 729 |
\( 3^{36}\cdot 13^{18} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3, 6]$
(GRH)
|
| 24.0.28637078059459331679625147758321598464.1 |
x24 + 3x22 + 9x20 + 27x18 + 81x16 + 243x14 + 729x12 + 2187x10 + 6561x8 + 19683x6 + 59049x4 + 177147x2 + 531441 |
\( 2^{24}\cdot 3^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 26]$
(GRH)
|
| 24.24.28637078059459331679625147758321598464.1 |
x24 - 23x22 + 230x20 - 1312x18 + 4709x16 - 11067x14 + 17187x12 - 17391x10 + 11033x8 - 4081x6 + 770x4 - 56x2 + 1 |
\( 2^{24}\cdot 3^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.28637078059459331679625147758321598464.2 |
x24 + 25x22 + 274x20 + 1728x18 + 6917x16 + 18277x14 + 32111x12 + 36841x10 + 26365x8 + 10815x6 + 2198x4 + 168x2 + 1 |
\( 2^{24}\cdot 3^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 78]$
(GRH)
|
| 24.0.28637078059459331679625147758321598464.3 |
x24 + 13x22 + 104x20 + 533x18 + 2015x16 + 5499x14 + 11349x12 + 16731x10 + 18083x8 + 12506x6 + 5915x4 + 1183x2 + 169 |
\( 2^{24}\cdot 3^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 52]$
(GRH)
|
| 24.0.42586662987723509824000000000000000000.1 |
x24 - 9x22 + 67x20 - 478x18 + 3373x16 - 6558x14 + 12278x12 - 22063x10 + 33233x8 - 2493x6 + 187x4 - 14x2 + 1 |
\( 2^{24}\cdot 5^{18}\cdot 13^{16} \) |
$C_2\times C_{12}$ (as 24T2) |
$[4, 12]$
(GRH)
|
| 24.0.97840059750173910974834598541259765625.1 |
x24 - 12x23 + 96x22 - 548x21 + 2526x20 - 9648x19 + 31555x18 - 89118x17 + 218325x16 - 461214x15 + 823281x14 - 1193121x13 + 1278473x12 - 705375x11 - 619155x10 + 2131658x9 - 2709069x8 + 1618335x7 + 600240x6 - 2358960x5 + 2561604x4 - 1563601x3 + 522033x2 - 47436x + 7541 |
\( 3^{32}\cdot 5^{18}\cdot 7^{12} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3, 3]$
(GRH)
|
| 24.0.143394368963416893742964176177978515625.1 |
x24 - x23 - x22 + 11x21 - 16x20 + 61x19 + 56x18 - 283x17 + 595x16 + 483x15 + 1068x14 + 1736x13 + 1610x12 + 2951x11 + 2205x10 + 2925x9 + 1727x8 - 7188x7 + 3314x6 - 3879x5 - 3407x4 + 1379x3 + 1568x2 - 1715x + 2401 |
\( 5^{18}\cdot 19^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[52]$
(GRH)
|
| 24.24.376808323956052112639025409344139165696.1 |
x24 - 24x22 + 252x20 - 1520x18 + 5813x16 - 14672x14 + 24648x12 - 27104x10 + 18646x8 - 7344x6 + 1400x4 - 96x2 + 1 |
\( 2^{72}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
| 24.0.376808323956052112639025409344139165696.1 |
x24 + 24x22 + 252x20 + 1520x18 + 5813x16 + 14672x14 + 24648x12 + 27104x10 + 18646x8 + 7344x6 + 1400x4 + 96x2 + 1 |
\( 2^{72}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[6, 78]$
(GRH)
|
| 24.0.376808323956052112639025409344139165696.2 |
x24 + 245x16 + 7546x8 + 2401 |
\( 2^{72}\cdot 7^{20} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 26]$
(GRH)
|
| 24.0.397869767537058122019418033599853515625.1 |
x24 - x23 - 3x22 + 4x21 - 18x20 - 73x19 + 153x18 + 160x17 + 166x16 + 640x15 + 1363x14 - 4490x13 - 19199x12 + 2486x11 + 33907x10 - 20248x9 + 355120x8 - 52357x7 - 937497x6 + 356623x5 + 2830245x4 + 91235x3 - 10298763x2 - 1431644x + 25411681 |
\( 5^{18}\cdot 7^{16}\cdot 11^{12} \) |
$C_2\times C_{12}$ (as 24T2) |
$[3, 6]$
(GRH)
|
| 24.0.416724332309376501938461264338134765625.1 |
x24 - x23 + 23x22 - 19x21 + 226x20 - 150x19 + 1248x18 - 648x17 + 4301x16 - 1709x15 + 9699x14 - 2863x13 + 14455x12 - 2482x11 + 13614x10 + 3087x9 + 5663x8 + 15854x7 - 1326x6 + 19186x5 - 869x4 + 18947x3 - 13105x2 - 15272x + 67861 |
\( 3^{12}\cdot 5^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
$[2, 2, 8, 8]$
(GRH)
|
| 24.24.416724332309376501938461264338134765625.1 |
x24 - x23 - 37x22 + 36x21 + 551x20 - 515x19 - 4277x18 + 3762x17 + 18936x16 - 15174x15 - 50091x14 + 34917x13 + 81925x12 - 46487x11 - 84021x10 + 34947x9 + 53243x8 - 13356x7 - 19591x6 + 1711x5 + 3541x4 + 172x3 - 180x2 - 12x + 1 |
\( 3^{12}\cdot 5^{12}\cdot 13^{22} \) |
$C_2\times C_{12}$ (as 24T2) |
Trivial
(GRH)
|
