| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 14.0.654...984.1 |
$x^{14} + 37 x^{12} + 470 x^{10} + 2787 x^{8} + 8570 x^{6} + 13714 x^{4} + 10241 x^{2} + 2401$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 43^{12}$ |
$2$ |
$50.251127978$ |
$50.25112797804721$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[43]$ |
$4$ |
$6$ |
$35991.6418506$ |
| 14.14.312...125.1 |
$x^{14} - 5 x^{13} - 34 x^{12} + 135 x^{11} + 470 x^{10} - 1207 x^{9} - 3159 x^{8} + 3921 x^{7} + 9113 x^{6} - 3280 x^{5} - 7200 x^{4} + 698 x^{3} + 529 x^{2} - 62 x + 1$ |
$14$ |
[14,0] |
$5^{7}\cdot 43^{12}$ |
$2$ |
$56.1824690525$ |
$56.18246905247756$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
trivial |
$2$ |
$13$ |
$32204571.9144$ |
| 14.14.838...952.1 |
$x^{14} - 2 x^{13} - 49 x^{12} + 130 x^{11} + 690 x^{10} - 2164 x^{9} - 3225 x^{8} + 13320 x^{7} + 86 x^{6} - 26074 x^{5} + 20214 x^{4} - 1996 x^{3} - 1359 x^{2} + 78 x + 7$ |
$14$ |
[14,0] |
$2^{21}\cdot 43^{12}$ |
$2$ |
$71.0658267111$ |
$71.06582671110044$ |
|
✓ |
|
$C_{14}$ (as 14T1) |
trivial |
$2$ |
$13$ |
$1198577302.5055304$ |
| 14.0.778...571.1 |
$x^{14} - 5 x^{13} - 6 x^{12} + 15 x^{11} + 242 x^{10} - 7 x^{9} + 149 x^{8} - 135 x^{7} + 11005 x^{6} + 13904 x^{5} + 39776 x^{4} + 35930 x^{3} + 201521 x^{2} + 257594 x + 376249$ |
$14$ |
[0,7] |
$-\,11^{7}\cdot 43^{12}$ |
$2$ |
$83.3320683977$ |
$83.3320683976566$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[743]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.14.143...008.1 |
$x^{14} - 2 x^{13} - 56 x^{12} + 142 x^{11} + 933 x^{10} - 2564 x^{9} - 5897 x^{8} + 17156 x^{7} + 11025 x^{6} - 39508 x^{5} + 11022 x^{4} + 9342 x^{3} - 1266 x^{2} - 328 x + 37$ |
$14$ |
[14,0] |
$2^{14}\cdot 3^{7}\cdot 43^{12}$ |
$3$ |
$87.0375067956$ |
$87.03750679562367$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
trivial |
$2$ |
$13$ |
$919677785.0789944$ |
| 14.0.682...375.1 |
$x^{14} - 5 x^{13} + x^{12} - 15 x^{11} + 290 x^{10} - 82 x^{9} + 1576 x^{8} - 399 x^{7} + 22358 x^{6} + 20590 x^{5} + 123285 x^{4} + 99663 x^{3} + 589214 x^{2} + 602483 x + 1228891$ |
$14$ |
[0,7] |
$-\,3^{7}\cdot 5^{7}\cdot 43^{12}$ |
$3$ |
$97.3108908936$ |
$97.31089089355721$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[1766]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.0.136...247.1 |
$x^{14} - 5 x^{13} + 15 x^{12} - 75 x^{11} + 512 x^{10} - 682 x^{9} + 6620 x^{8} - 4227 x^{7} + 79540 x^{6} + 24230 x^{5} + 605069 x^{4} + 323699 x^{3} + 3152636 x^{2} + 2157359 x + 7742617$ |
$14$ |
[0,7] |
$-\,23^{7}\cdot 43^{12}$ |
$2$ |
$120.49797182$ |
$120.49797181957028$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[7899]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.14.539...312.1 |
$x^{14} - 2 x^{13} - 84 x^{12} + 190 x^{11} + 2325 x^{10} - 4764 x^{9} - 28285 x^{8} + 40900 x^{7} + 162801 x^{6} - 90084 x^{5} - 404606 x^{4} - 53186 x^{3} + 289086 x^{2} + 111328 x - 15043$ |
$14$ |
[14,0] |
$2^{14}\cdot 7^{7}\cdot 43^{12}$ |
$3$ |
$132.95198773$ |
$132.95198773039291$ |
|
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2]$ |
$2$ |
$13$ |
$5440439847.047538$ |
| 14.0.257...875.1 |
$x^{14} - 5 x^{13} + 36 x^{12} - 165 x^{11} + 1160 x^{10} - 2707 x^{9} + 22811 x^{8} - 27219 x^{7} + 328903 x^{6} - 89140 x^{5} + 3204020 x^{4} + 602378 x^{3} + 19889249 x^{2} + 7744478 x + 58736881$ |
$14$ |
[0,7] |
$-\,5^{7}\cdot 7^{7}\cdot 43^{12}$ |
$3$ |
$148.644841154$ |
$148.6448411544383$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 2, 2, 2, 1486]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.0.690...936.1 |
$x^{14} - 2 x^{13} + 63 x^{12} - 62 x^{11} + 2514 x^{10} - 3924 x^{9} + 80327 x^{8} - 162296 x^{7} + 1808214 x^{6} - 3652314 x^{5} + 26185174 x^{4} - 42685580 x^{3} + 216370161 x^{2} - 217576562 x + 770198807$ |
$14$ |
[0,7] |
$-\,2^{21}\cdot 7^{7}\cdot 43^{12}$ |
$3$ |
$188.022504193$ |
$188.022504192783$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 2, 2, 2, 8516]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 14.0.117...344.1 |
$x^{14} - 2 x^{13} + 112 x^{12} - 146 x^{11} + 6693 x^{10} - 9524 x^{9} + 276271 x^{8} - 461308 x^{7} + 7907601 x^{6} - 13385716 x^{5} + 147472662 x^{4} - 207970434 x^{3} + 1594403790 x^{2} - 1379805112 x + 7521613141$ |
$14$ |
[0,7] |
$-\,2^{14}\cdot 3^{7}\cdot 7^{7}\cdot 43^{12}$ |
$4$ |
$230.279597716$ |
$230.27959771631453$ |
✓ |
✓ |
? |
$C_{14}$ (as 14T1) |
$[2, 2, 2, 2, 2, 2, 2, 21982]$ |
$2$ |
$6$ |
$35991.64185055774$ |
| 16.16.377...184.1 |
$x^{16} - 37 x^{14} + 552 x^{12} - 4307 x^{10} + 18972 x^{8} - 47068 x^{6} + 60627 x^{4} - 31221 x^{2} + 676$ |
$16$ |
[16,0] |
$2^{14}\cdot 7^{8}\cdot 43^{12}$ |
$3$ |
$81.4801102367$ |
$223.5976997666865$ |
|
|
? |
$C_2^4:F_8$ (as 16T1077) |
trivial |
$2$ |
$15$ |
$93213011602.4$ |
| 16.0.377...184.1 |
$x^{16} + 35 x^{14} + 419 x^{12} + 2268 x^{10} + 5856 x^{8} + 6811 x^{6} + 3100 x^{4} + 301 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{14}\cdot 7^{8}\cdot 43^{12}$ |
$3$ |
$81.4801102367$ |
$223.5976997666865$ |
✓ |
|
? |
$C_2^4:F_8$ (as 16T1077) |
$[2, 2, 464]$ |
$2$ |
$7$ |
$1670503.69395$ |
| 16.0.377...184.4 |
$x^{16} + 8 x^{14} - 17 x^{12} - 110 x^{10} + 476 x^{8} - 635 x^{6} + 249 x^{4} + 71 x^{2} + 36$ |
$16$ |
[0,8] |
$2^{14}\cdot 7^{8}\cdot 43^{12}$ |
$3$ |
$81.4801102367$ |
|
|
|
? |
$C_2^7:F_8$ (as 16T1694) |
$[2, 2, 2]$ |
$2$ |
$7$ |
$129721418.511$ |
| 21.15.727...336.1 |
$x^{21} - 3 x^{19} - 2 x^{18} - 162 x^{17} - 216 x^{16} + 873 x^{15} + 1890 x^{14} + 4338 x^{13} + 8488 x^{12} - 17064 x^{11} - 80592 x^{10} - 106609 x^{9} - 54468 x^{8} + 116223 x^{7} + 527006 x^{6} + 1015308 x^{5} + 1115352 x^{4} + 741328 x^{3} + 296352 x^{2} + 65856 x + 6272$ |
$21$ |
[15,3] |
$-\,2^{14}\cdot 3^{21}\cdot 7^{5}\cdot 43^{18}$ |
$4$ |
$190.168051486$ |
|
|
|
? |
$C_3^7:C_2\wr C_7$ (as 21T123) |
trivial |
$2$ |
$17$ |
$65917490471100000$ |
| 28.0.205...064.1 |
$x^{28} - 37 x^{26} + 899 x^{24} - 11816 x^{22} + 109211 x^{20} - 689424 x^{18} + 3252533 x^{16} - 11374748 x^{14} + 30588386 x^{12} - 61574116 x^{10} + 93616839 x^{8} - 99291934 x^{6} + 71950767 x^{4} - 24588641 x^{2} + 5764801$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 43^{24}$ |
$3$ |
$87.0375067956$ |
$87.03750679562367$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[8729]$ |
$12$ |
$13$ |
$3767000207683.561$ |
| 28.0.466...625.1 |
$x^{28} - 5 x^{27} + 59 x^{26} - 100 x^{25} + 1361 x^{24} - 1097 x^{23} + 21852 x^{22} + 1090 x^{21} + 228116 x^{20} + 113321 x^{19} + 1783360 x^{18} + 1397646 x^{17} + 9302966 x^{16} + 7143500 x^{15} + 33359623 x^{14} + 23886766 x^{13} + 71237549 x^{12} + 23786690 x^{11} + 70217616 x^{10} + 13166733 x^{9} + 48825618 x^{8} - 2116445 x^{7} + 4110870 x^{6} - 526838 x^{5} + 330317 x^{4} - 34194 x^{3} + 3315 x^{2} - 62 x + 1$ |
$28$ |
[0,14] |
$3^{14}\cdot 5^{14}\cdot 43^{24}$ |
$3$ |
$97.3108908936$ |
$97.31089089355721$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[179249]$ |
$6$ |
$13$ |
$263819853122.8475$ |
| 28.0.115...736.1 |
$x^{28} + 429 x^{24} + 31802 x^{20} + 705923 x^{16} + 6451930 x^{12} + 25926230 x^{8} + 39023453 x^{4} + 5764801$ |
$28$ |
[0,14] |
$2^{56}\cdot 43^{24}$ |
$2$ |
$100.502255956$ |
$100.50225595609442$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[8729]$ |
$8$ |
$13$ |
$9818745262125.305$ |
| 28.0.261...000.1 |
$x^{28} + 93 x^{26} + 3446 x^{24} + 68573 x^{22} + 819038 x^{20} + 6151863 x^{18} + 29394033 x^{16} + 87861145 x^{14} + 156457033 x^{12} + 150950266 x^{10} + 66540320 x^{8} + 8493298 x^{6} + 351993 x^{4} + 2786 x^{2} + 1$ |
$28$ |
[0,14] |
$2^{28}\cdot 5^{14}\cdot 43^{24}$ |
$3$ |
$112.364938105$ |
$112.36493810495512$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[619759]$ |
$4$ |
$13$ |
$263819853122.8475$ |
| 28.0.290...344.1 |
$x^{28} + 51 x^{26} + 1091 x^{24} + 10637 x^{22} + 95342 x^{20} + 451872 x^{18} + 2864388 x^{16} + 7192183 x^{14} + 48724576 x^{12} + 35505214 x^{10} + 530228711 x^{8} - 179378483 x^{6} + 3193266360 x^{4} - 1524811855 x^{2} + 7248989881$ |
$28$ |
[0,14] |
$2^{28}\cdot 7^{14}\cdot 43^{24}$ |
$3$ |
$132.95198773$ |
$132.95198773039291$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[2, 2, 2, 4, 4, 1204]$ |
$4$ |
$13$ |
$22284041613506.715$ |
| 28.0.394...813.1 |
$x^{28} - 3 x^{27} - 58 x^{26} + 116 x^{25} + 1594 x^{24} - 795 x^{23} - 23368 x^{22} - 17754 x^{21} + 193405 x^{20} + 401282 x^{19} - 792241 x^{18} - 3862175 x^{17} - 1930312 x^{16} + 17054968 x^{15} + 39893003 x^{14} - 1649719 x^{13} - 116881197 x^{12} + 63433416 x^{11} + 1291212236 x^{10} + 3819503261 x^{9} + 6041597518 x^{8} + 4727512891 x^{7} - 146884005 x^{6} - 3263634817 x^{5} + 232980895 x^{4} + 10099795978 x^{3} + 12411637718 x^{2} + 3395089494 x + 3242219171$ |
$28$ |
[0,14] |
$13^{21}\cdot 43^{24}$ |
$2$ |
$172.017777933$ |
$172.01777793300474$ |
✓ |
✓ |
? |
$C_{28}$ (as 28T1) |
$[139, 27383]$ |
$2$ |
$13$ |
$9345489237529.041$ |
| 28.0.476...096.2 |
$x^{28} - 10 x^{27} - 29 x^{26} + 480 x^{25} + 477 x^{24} - 11374 x^{23} - 4507 x^{22} + 154882 x^{21} + 51628 x^{20} - 1291566 x^{19} - 364080 x^{18} + 5602052 x^{17} + 1490872 x^{16} - 5091542 x^{15} + 18310947 x^{14} - 55585664 x^{13} - 70806550 x^{12} + 41797244 x^{11} + 302709874 x^{10} + 1164629208 x^{9} + 4635426663 x^{8} + 4233600464 x^{7} + 20360485629 x^{6} + 5411873026 x^{5} + 48852889302 x^{4} - 1242090906 x^{3} + 63271135781 x^{2} - 5581944270 x + 34633810687$ |
$28$ |
[0,14] |
$2^{42}\cdot 7^{14}\cdot 43^{24}$ |
$3$ |
$188.022504193$ |
$188.022504192783$ |
✓ |
✓ |
|
$C_2\times C_{14}$ (as 28T2) |
$[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 29806]$ |
$2$ |
$13$ |
$9818745262125.305$ |
| 28.28.110...817.1 |
$x^{28} - 3 x^{27} - 114 x^{26} + 223 x^{25} + 5535 x^{24} - 6010 x^{23} - 149120 x^{22} + 58379 x^{21} + 2444732 x^{20} + 340173 x^{19} - 25346459 x^{18} - 13354269 x^{17} + 169056841 x^{16} + 134786716 x^{15} - 732134080 x^{14} - 716759092 x^{13} + 2062586584 x^{12} + 2258517213 x^{11} - 3746021136 x^{10} - 4345218399 x^{9} + 4265308265 x^{8} + 5031189671 x^{7} - 2863566510 x^{6} - 3285125294 x^{5} + 1000439862 x^{4} + 1023063388 x^{3} - 145707997 x^{2} - 87914762 x + 12967769$ |
$28$ |
[28,0] |
$17^{21}\cdot 43^{24}$ |
$2$ |
$210.354840516$ |
$210.3548405157275$ |
|
✓ |
? |
$C_{28}$ (as 28T1) |
trivial |
$2$ |
$27$ |
$289496465205602050000000$ |
| 28.0.139...336.1 |
$x^{28} + 149 x^{26} + 9134 x^{24} + 308389 x^{22} + 6401614 x^{20} + 85726663 x^{18} + 752329489 x^{16} + 4297494913 x^{14} + 15575681777 x^{12} + 34389917530 x^{10} + 43949277664 x^{8} + 29577009066 x^{6} + 8219682265 x^{4} + 214571826 x^{2} + 305809$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 7^{14}\cdot 43^{24}$ |
$4$ |
$230.279597716$ |
$230.27959771631453$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
$4$ |
$13$ |
|
| 28.28.139...336.1 |
$x^{28} - 4 x^{27} - 101 x^{26} + 482 x^{25} + 3788 x^{24} - 22092 x^{23} - 63973 x^{22} + 512910 x^{21} + 369914 x^{20} - 6644120 x^{19} + 3084895 x^{18} + 49249330 x^{17} - 61409433 x^{16} - 203935960 x^{15} + 397367433 x^{14} + 423223360 x^{13} - 1298967627 x^{12} - 242059394 x^{11} + 2289303002 x^{10} - 538717844 x^{9} - 2198131174 x^{8} + 1012357326 x^{7} + 1113075706 x^{6} - 646966282 x^{5} - 274009155 x^{4} + 167667916 x^{3} + 30046156 x^{2} - 13061900 x - 2214071$ |
$28$ |
[28,0] |
$2^{28}\cdot 3^{14}\cdot 7^{14}\cdot 43^{24}$ |
$4$ |
$230.279597716$ |
$230.27959771631453$ |
|
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
$[2, 2, 2]$ |
$2$ |
$27$ |
$320634865070724750000000$ |
| 28.0.139...336.2 |
$x^{28} - 2 x^{27} + 88 x^{26} - 212 x^{25} + 5111 x^{24} - 11424 x^{23} + 165302 x^{22} - 261132 x^{21} + 3608444 x^{20} - 3909034 x^{19} + 53561191 x^{18} - 18607624 x^{17} + 548629476 x^{16} + 98588896 x^{15} + 4001016504 x^{14} + 3247220408 x^{13} + 18560326653 x^{12} + 18037632452 x^{11} + 60372442409 x^{10} + 62297370092 x^{9} + 120532456871 x^{8} + 91112472192 x^{7} + 124925521378 x^{6} + 76067759152 x^{5} + 83405318346 x^{4} + 30583212212 x^{3} + 16742644282 x^{2} - 1674707104 x + 226291849$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 7^{14}\cdot 43^{24}$ |
$4$ |
$230.279597716$ |
$230.27959771631453$ |
✓ |
✓ |
|
$C_2\times C_{14}$ (as 28T2) |
not computed |
$6$ |
$13$ |
|
| 28.0.139...336.3 |
$x^{28} - 10 x^{27} - 43 x^{26} + 610 x^{25} + 893 x^{24} - 17554 x^{23} - 8109 x^{22} + 291248 x^{21} - 454 x^{20} - 2971706 x^{19} + 1197718 x^{18} + 17202888 x^{17} - 15210244 x^{16} - 36820778 x^{15} + 110539645 x^{14} - 156061822 x^{13} - 202873846 x^{12} + 622964416 x^{11} - 484499442 x^{10} + 2312441592 x^{9} + 8657703531 x^{8} - 6776431972 x^{7} + 59753862165 x^{6} - 47772420448 x^{5} + 153731528528 x^{4} - 92245206546 x^{3} + 204770237163 x^{2} - 77069421028 x + 113665576837$ |
$28$ |
[0,14] |
$2^{28}\cdot 3^{14}\cdot 7^{14}\cdot 43^{24}$ |
$4$ |
$230.279597716$ |
$230.27959771631453$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
$2$ |
$13$ |
|
| 28.0.780...864.1 |
$x^{28} - 4 x^{27} - 10 x^{26} + 144 x^{25} - 4 x^{24} - 3148 x^{23} + 13082 x^{22} - 1788 x^{21} - 119511 x^{20} + 399792 x^{19} - 425772 x^{18} - 1265600 x^{17} + 18122215 x^{16} - 124823336 x^{15} + 593505876 x^{14} - 2082914376 x^{13} + 6107812161 x^{12} - 15606049560 x^{11} + 34698785748 x^{10} - 64842470604 x^{9} + 115763499742 x^{8} - 243736383856 x^{7} + 563096966750 x^{6} - 1045057825320 x^{5} + 1444510043862 x^{4} - 1665093676676 x^{3} + 2087121838604 x^{2} - 2243482700476 x + 1376055833177$ |
$28$ |
[0,14] |
$2^{56}\cdot 7^{14}\cdot 43^{24}$ |
$3$ |
$265.903975461$ |
$265.90397546078583$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
$2$ |
$13$ |
|
| 28.28.780...864.1 |
$x^{28} - 4 x^{27} - 122 x^{26} + 560 x^{25} + 5740 x^{24} - 30156 x^{23} - 133606 x^{22} + 832036 x^{21} + 1613337 x^{20} - 13147792 x^{19} - 8688764 x^{18} + 125036352 x^{17} - 7814969 x^{16} - 726699816 x^{15} + 356655764 x^{14} + 2559887736 x^{13} - 1910434015 x^{12} - 5310316312 x^{11} + 4799544228 x^{10} + 6076973940 x^{9} - 6256996930 x^{8} - 3291954288 x^{7} + 4126182942 x^{6} + 449529304 x^{5} - 1199722586 x^{4} + 155758844 x^{3} + 107849004 x^{2} - 32385052 x + 2483257$ |
$28$ |
[28,0] |
$2^{56}\cdot 7^{14}\cdot 43^{24}$ |
$3$ |
$265.903975461$ |
$265.90397546078583$ |
|
✓ |
|
$C_2\times C_{14}$ (as 28T2) |
not computed |
$2$ |
$27$ |
|
| 28.0.780...864.2 |
$x^{28} + 74 x^{26} - 28 x^{25} + 2652 x^{24} - 4872 x^{23} + 47998 x^{22} - 172228 x^{21} + 788209 x^{20} - 2938208 x^{19} + 8349556 x^{18} - 36234184 x^{17} + 98819023 x^{16} - 179763136 x^{15} + 518076908 x^{14} - 1840181224 x^{13} + 2323325297 x^{12} + 7058831192 x^{11} + 4919738436 x^{10} - 86885555568 x^{9} - 131297334426 x^{8} + 635661938184 x^{7} + 1080385844202 x^{6} - 3164312799368 x^{5} - 5586921994290 x^{4} + 15234819629680 x^{3} + 5573446457348 x^{2} - 33002149222756 x + 20492148671897$ |
$28$ |
[0,14] |
$2^{56}\cdot 7^{14}\cdot 43^{24}$ |
$3$ |
$265.903975461$ |
$265.90397546078583$ |
✓ |
✓ |
? |
$C_2\times C_{14}$ (as 28T2) |
not computed |
$4$ |
$13$ |
|
| 42.0.129...104.1 |
$x^{42} + 144 x^{40} + 9032 x^{38} + 329212 x^{36} + 7830640 x^{34} + 129125274 x^{32} + 1528042650 x^{30} + 13235305378 x^{28} + 84740092130 x^{26} + 402083313739 x^{24} + 1409339985025 x^{22} + 3620279286722 x^{20} + 6736182888909 x^{18} + 8945040347804 x^{16} + 8320849769953 x^{14} + 5289780841307 x^{12} + 2220831567535 x^{10} + 587365306806 x^{8} + 91914310951 x^{6} + 7769654984 x^{4} + 296971164 x^{2} + 3087049$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 7^{28}\cdot 43^{36}$ |
$3$ |
$183.884239545$ |
$183.88423954516324$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$4$ |
$20$ |
|
| 42.42.106...472.1 |
$x^{42} - 6 x^{41} - 142 x^{40} + 1010 x^{39} + 7964 x^{38} - 71454 x^{37} - 208832 x^{36} + 2802438 x^{35} + 1531056 x^{34} - 67565142 x^{33} + 60489108 x^{32} + 1043685852 x^{31} - 2085874292 x^{30} - 10279939062 x^{29} + 32495818692 x^{28} + 59117029866 x^{27} - 306640672074 x^{26} - 110840778018 x^{25} + 1849493017007 x^{24} - 1021424941472 x^{23} - 6966545520125 x^{22} + 9185470135158 x^{21} + 14376518419076 x^{20} - 34530378115564 x^{19} - 6669059936907 x^{18} + 67509634304194 x^{17} - 34983826806808 x^{16} - 60125784229422 x^{15} + 70223721142115 x^{14} + 7021979813678 x^{13} - 44745848699873 x^{12} + 16129981905954 x^{11} + 9390441862305 x^{10} - 7251177605322 x^{9} + 216741012040 x^{8} + 947753551724 x^{7} - 202938614879 x^{6} - 27405440202 x^{5} + 9838244990 x^{4} + 127405096 x^{3} - 103817280 x^{2} - 5601680 x - 74039$ |
$42$ |
[42,0] |
$2^{42}\cdot 7^{35}\cdot 43^{36}$ |
$3$ |
$254.328003141$ |
$254.3280031410407$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.42.135...112.1 |
$x^{42} - 8 x^{41} - 175 x^{40} + 1364 x^{39} + 13898 x^{38} - 103396 x^{37} - 665506 x^{36} + 4618552 x^{35} + 21502625 x^{34} - 135872998 x^{33} - 496378429 x^{32} + 2788629532 x^{31} + 8448403774 x^{30} - 41291855876 x^{29} - 107846908056 x^{28} + 450373302470 x^{27} + 1041301958050 x^{26} - 3665990103790 x^{25} - 7627406651421 x^{24} + 22447848893070 x^{23} + 42355242532223 x^{22} - 103833126046058 x^{21} - 177663383299465 x^{20} + 363190828255474 x^{19} + 559249256442942 x^{18} - 958953878386018 x^{17} - 1307813000524015 x^{16} + 1902343681599416 x^{15} + 2238545249800209 x^{14} - 2812192296129834 x^{13} - 2744178062363272 x^{12} + 3056642356227006 x^{11} + 2331542111044679 x^{10} - 2389231312862352 x^{9} - 1301941352177435 x^{8} + 1293489073965668 x^{7} + 432256459150093 x^{6} - 454336589041184 x^{5} - 65124361830922 x^{4} + 91640837345302 x^{3} - 1726980615342 x^{2} - 7929867158028 x + 1197818409649$ |
$42$ |
[42,0] |
$2^{42}\cdot 3^{21}\cdot 7^{28}\cdot 43^{36}$ |
$4$ |
$318.496845603$ |
$318.49684560338886$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.111...816.1 |
$x^{42} - 6 x^{41} + 54 x^{40} - 110 x^{39} + 1524 x^{38} - 6774 x^{37} + 77020 x^{36} - 305226 x^{35} + 2030184 x^{34} - 6876710 x^{33} + 45342648 x^{32} - 183508620 x^{31} + 1161511920 x^{30} - 4998818238 x^{29} + 26445200664 x^{28} - 105002565326 x^{27} + 475166561742 x^{26} - 1841747363874 x^{25} + 8437856316007 x^{24} - 37006850242752 x^{23} + 178764051099639 x^{22} - 807395144383546 x^{21} + 3586539321336456 x^{20} - 14532115722512628 x^{19} + 55572146421969369 x^{18} - 194442668228740206 x^{17} + 637972768261666980 x^{16} - 1927769837294679142 x^{15} + 5462344701732848295 x^{14} - 14332232415770952882 x^{13} + 35432505451805479767 x^{12} - 81705951843349509942 x^{11} + 178745925718873011429 x^{10} - 366306635567315536002 x^{9} + 713338483006895370660 x^{8} - 1288101452411623725708 x^{7} + 2165624406975803313561 x^{6} - 3249745961976354748530 x^{5} + 4406945226656515201134 x^{4} - 5146946802899339721640 x^{3} + 5339333513353088067672 x^{2} - 4138167845674321755912 x + 2264163592950665459557$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 3^{21}\cdot 7^{35}\cdot 43^{36}$ |
$4$ |
$440.509023228$ |
$440.5090232278195$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
