| 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 |
| 30.0.182...875.1 |
$x^{30} - 10 x^{27} - 54 x^{25} + 90 x^{24} + 315 x^{23} + 15 x^{22} - 240 x^{21} + 504 x^{20} - 4740 x^{19} + 8375 x^{18} - 14580 x^{17} + 25140 x^{16} - 34179 x^{15} + 51465 x^{14} - 61710 x^{13} + 70215 x^{12} - 67800 x^{11} + 45276 x^{10} - 22840 x^{9} - 3240 x^{8} + 16350 x^{7} - 10730 x^{6} + 4956 x^{5} + 2280 x^{4} - 4065 x^{3} - 420 x^{2} + 780 x + 169$ |
$30$ |
[0,15] |
$-\,3^{35}\cdot 5^{38}$ |
$2$ |
$27.669637490247258$ |
$29.194595979271636$ |
|
|
? |
$D_{30}$ (as 30T14) |
trivial |
$6$ |
$14$ |
$17149795938.655872$ |
| 30.2.605...125.1 |
$x^{30} - 4 x^{29} - 4 x^{28} + 32 x^{27} + 29 x^{26} - 207 x^{25} - 80 x^{24} + 808 x^{23} + 324 x^{22} - 2807 x^{21} - 784 x^{20} + 6744 x^{19} + 2549 x^{18} - 11743 x^{17} - 5231 x^{16} + 15441 x^{15} + 10445 x^{14} - 10233 x^{13} - 7776 x^{12} + 6706 x^{11} + 5598 x^{10} - 2410 x^{9} - 2278 x^{8} + 1045 x^{7} + 940 x^{6} - 185 x^{5} - 176 x^{4} + 44 x^{3} + 30 x^{2} - 6 x - 1$ |
$30$ |
[2,14] |
$5^{15}\cdot 239^{14}$ |
$2$ |
$28.80076493748214$ |
$34.56877203488721$ |
|
|
? |
$D_{30}$ (as 30T14) |
trivial |
$2$ |
$15$ |
$5581738694.683278$ |
| 30.0.141...987.1 |
$x^{30} - 5 x^{29} + 14 x^{28} - 37 x^{27} + 83 x^{26} - 152 x^{25} + 241 x^{24} - 335 x^{23} + 465 x^{22} - 620 x^{21} + 812 x^{20} - 1084 x^{19} + 1348 x^{18} - 1578 x^{17} + 1736 x^{16} - 1826 x^{15} + 1986 x^{14} - 2009 x^{13} + 2111 x^{12} - 2179 x^{11} + 1810 x^{10} - 1551 x^{9} + 1376 x^{8} - 959 x^{7} + 887 x^{6} - 765 x^{5} + 462 x^{4} - 285 x^{3} + 146 x^{2} - 13 x + 1$ |
$30$ |
[0,15] |
$-\,3^{15}\cdot 439^{14}$ |
$2$ |
$29.628573118259904$ |
$36.29049462324811$ |
|
|
|
$D_{30}$ (as 30T14) |
$[2]$ |
$6$ |
$14$ |
$18103283853.50697$ |
| 30.2.140...000.1 |
$x^{30} - x^{29} + 11 x^{28} + 4 x^{27} + 44 x^{26} - 6 x^{25} - 74 x^{24} - 446 x^{23} - 1543 x^{22} + 183 x^{21} - 1721 x^{20} + 7116 x^{19} + 11884 x^{18} - 3168 x^{17} + 7664 x^{16} - 18756 x^{15} + 17109 x^{14} - 3363 x^{13} - 2431 x^{12} + 11594 x^{11} - 15080 x^{10} + 6868 x^{9} + 3884 x^{8} - 3768 x^{7} + 2512 x^{6} - 1864 x^{5} - 1696 x^{4} + 656 x^{3} + 448 x^{2} + 16 x - 16$ |
$30$ |
[2,14] |
$2^{20}\cdot 5^{15}\cdot 131^{14}$ |
$3$ |
$34.53278493432046$ |
$40.62630398353121$ |
|
|
|
$D_{30}$ (as 30T14) |
$[2]$ |
$2$ |
$15$ |
$145673548066.95038$ |
| 30.2.698...512.1 |
$x^{30} - 16 x^{28} + 152 x^{26} - 960 x^{24} + 4656 x^{22} - 18272 x^{20} + 59264 x^{18} - 161280 x^{16} + 368896 x^{14} - 701952 x^{12} + 1121280 x^{10} - 1376256 x^{8} + 1417216 x^{6} - 884736 x^{4} + 524288 x^{2} - 32768$ |
$30$ |
[2,14] |
$2^{45}\cdot 239^{14}$ |
$2$ |
$36.43040622302421$ |
$43.726422218150894$ |
|
|
? |
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.301...125.1 |
$x^{30} - 5 x^{29} + 8 x^{28} + 19 x^{27} - 63 x^{26} - 52 x^{25} + 265 x^{24} - 211 x^{23} - 393 x^{22} + 858 x^{21} - 86 x^{20} - 2380 x^{19} + 4186 x^{18} + 8272 x^{17} - 3336 x^{16} - 13036 x^{15} + 7176 x^{14} + 23259 x^{13} + 6583 x^{12} - 9115 x^{11} - 7328 x^{10} + 1279 x^{9} + 4440 x^{8} + 2429 x^{7} - 349 x^{6} - 1189 x^{5} - 88 x^{4} + 271 x^{3} + 100 x^{2} - 13 x - 1$ |
$30$ |
[2,14] |
$5^{15}\cdot 439^{14}$ |
$2$ |
$38.25032341963645$ |
$46.850827100489916$ |
|
|
|
$D_{30}$ (as 30T14) |
$[2]$ |
$2$ |
$15$ |
$748323688575.9082$ |
| 30.2.812...137.1 |
$x^{30} - 9 x^{29} + 29 x^{28} - 62 x^{27} + 140 x^{26} - 289 x^{25} + 749 x^{24} - 2505 x^{23} + 6556 x^{22} - 13979 x^{21} + 24020 x^{20} - 33363 x^{19} + 38542 x^{18} - 41923 x^{17} + 47672 x^{16} - 60161 x^{15} + 70650 x^{14} - 64907 x^{13} + 32243 x^{12} + 11892 x^{11} - 39347 x^{10} + 39493 x^{9} - 24068 x^{8} + 9526 x^{7} + 164 x^{6} - 4686 x^{5} + 4431 x^{4} - 2269 x^{3} + 729 x^{2} - 213 x + 43$ |
$30$ |
[2,14] |
$17^{15}\cdot 127^{14}$ |
$2$ |
$39.53661926232569$ |
$46.46504062195577$ |
|
|
? |
$D_{30}$ (as 30T14) |
trivial |
$2$ |
$15$ |
$1232398776399.036$ |
| 30.0.109...375.1 |
$x^{30} - 7 x^{29} + 48 x^{28} - 257 x^{27} + 1124 x^{26} - 4108 x^{25} + 12894 x^{24} - 35106 x^{23} + 82734 x^{22} - 166828 x^{21} + 288975 x^{20} - 424231 x^{19} + 515389 x^{18} - 443551 x^{17} + 184757 x^{16} + 79835 x^{15} - 29816 x^{14} - 348911 x^{13} + 993639 x^{12} - 2148173 x^{11} + 1765791 x^{10} + 384577 x^{9} - 1489368 x^{8} + 2068027 x^{7} - 1731374 x^{6} - 444980 x^{5} + 2213182 x^{4} - 1190713 x^{3} - 21588 x^{2} + 127306 x + 52081$ |
$30$ |
[0,15] |
$-\,3^{15}\cdot 5^{25}\cdot 47^{14}$ |
$3$ |
$39.93447365182815$ |
$45.40300106204512$ |
|
|
? |
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$14$ |
|
| 30.2.110...000.1 |
$x^{30} - 3 x^{29} + 21 x^{28} - 42 x^{27} + 225 x^{26} - 359 x^{25} + 651 x^{24} - 2808 x^{23} - 1822 x^{22} - 11536 x^{21} - 10414 x^{20} - 26496 x^{19} - 25330 x^{18} - 33066 x^{17} - 28312 x^{16} - 19700 x^{15} - 18200 x^{14} + 6446 x^{13} - 8210 x^{12} + 13412 x^{11} - 5750 x^{10} + 6200 x^{9} - 4422 x^{8} + 1276 x^{7} - 711 x^{6} + 161 x^{5} - 113 x^{4} - 42 x^{3} + 3 x^{2} - 3 x - 1$ |
$30$ |
[2,14] |
$2^{20}\cdot 5^{15}\cdot 179^{14}$ |
$3$ |
$39.94873948168138$ |
$47.489563898943345$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3, 3]$ |
$2$ |
$15$ |
$383760855207.4596$ |
| 30.0.607...847.1 |
$x^{30} - 6 x^{29} + 38 x^{28} - 178 x^{27} + 694 x^{26} - 2325 x^{25} + 6840 x^{24} - 17890 x^{23} + 42428 x^{22} - 92148 x^{21} + 185209 x^{20} - 348333 x^{19} + 617591 x^{18} - 1037914 x^{17} + 1659175 x^{16} - 2519432 x^{15} + 3620042 x^{14} - 4892313 x^{13} + 6168845 x^{12} - 7195888 x^{11} + 7698034 x^{10} - 7475970 x^{9} + 6524456 x^{8} - 5050948 x^{7} + 3416179 x^{6} - 1976201 x^{5} + 950326 x^{4} - 363451 x^{3} + 103267 x^{2} - 19350 x + 1849$ |
$30$ |
[0,15] |
$-\,17^{14}\cdot 127^{15}$ |
$2$ |
$42.277700430231675$ |
$46.46504062195577$ |
|
|
? |
$D_{30}$ (as 30T14) |
$[5]$ |
$2$ |
$14$ |
$588337897727.5111$ |
| 30.2.119...125.1 |
$x^{30} - 5 x^{29} + 11 x^{28} - 4 x^{27} - 19 x^{26} + 37 x^{25} + 129 x^{24} - 1314 x^{23} + 6565 x^{22} - 21133 x^{21} + 56331 x^{20} - 116407 x^{19} + 192164 x^{18} - 249788 x^{17} + 240591 x^{16} - 123362 x^{15} + 65684 x^{14} - 91823 x^{13} + 137991 x^{12} - 356197 x^{11} - 307772 x^{10} + 22452 x^{9} + 102955 x^{8} + 347102 x^{7} + 442668 x^{6} - 57105 x^{5} - 325253 x^{4} - 81893 x^{3} + 80109 x^{2} + 46065 x + 6845$ |
$30$ |
[2,14] |
$5^{15}\cdot 571^{14}$ |
$2$ |
$43.2429373044137$ |
$53.43220002957018$ |
|
|
|
$D_{30}$ (as 30T14) |
$[5]$ |
$2$ |
$15$ |
$9816173974474.957$ |
| 30.2.305...688.1 |
$x^{30} - 24 x^{28} + 342 x^{26} - 3240 x^{24} + 23571 x^{22} - 138753 x^{20} + 675054 x^{18} - 2755620 x^{16} + 9454401 x^{14} - 26985393 x^{12} + 64658655 x^{10} - 119042784 x^{8} + 183878586 x^{6} - 172186884 x^{4} + 153055008 x^{2} - 14348907$ |
$30$ |
[2,14] |
$2^{30}\cdot 3^{15}\cdot 239^{14}$ |
$3$ |
$44.61795318436113$ |
$53.55371135598354$ |
|
|
? |
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.515...625.1 |
$x^{30} - 10 x^{29} + 36 x^{28} - 34 x^{27} - 129 x^{26} + 673 x^{25} - 2345 x^{24} + 3400 x^{23} + 8195 x^{22} - 23985 x^{21} - 13829 x^{20} + 36240 x^{19} + 94321 x^{18} + 102411 x^{17} + 62946 x^{16} + 325659 x^{15} + 1299805 x^{14} + 3826146 x^{13} + 7335516 x^{12} + 9580506 x^{11} + 8499204 x^{10} + 5247290 x^{9} + 1937111 x^{8} + 388946 x^{7} - 47819 x^{6} - 74039 x^{5} - 43685 x^{4} - 5057 x^{3} + 3493 x^{2} + 123 x + 169$ |
$30$ |
[2,14] |
$3^{15}\cdot 5^{25}\cdot 47^{15}$ |
$3$ |
$45.40300106204512$ |
$45.40300106204512$ |
|
|
? |
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.0.675...203.1 |
$x^{30} - x^{29} + 12 x^{28} - 45 x^{27} + 210 x^{26} - 744 x^{25} + 2465 x^{24} - 6965 x^{23} + 19758 x^{22} - 48686 x^{21} + 121619 x^{20} - 306546 x^{19} + 810012 x^{18} - 2087415 x^{17} + 5002572 x^{16} - 11311375 x^{15} + 24424402 x^{14} - 49257771 x^{13} + 88022499 x^{12} - 134078913 x^{11} + 172501038 x^{10} - 188691174 x^{9} + 176841252 x^{8} - 141293241 x^{7} + 95362353 x^{6} - 55362204 x^{5} + 28414476 x^{4} - 12173571 x^{3} + 3774762 x^{2} - 708588 x + 59049$ |
$30$ |
[0,15] |
$-\,3^{15}\cdot 1117^{14}$ |
$2$ |
$45.81265290342043$ |
$57.88782255362521$ |
|
|
|
$D_{30}$ (as 30T14) |
trivial |
$6$ |
$14$ |
$3232250515402658.0$ |
| 30.2.114...125.1 |
$x^{30} - 3 x^{29} + 9 x^{28} + 14 x^{27} - 113 x^{26} + 370 x^{25} - 643 x^{24} - 15 x^{23} + 3880 x^{22} - 13302 x^{21} + 28770 x^{20} - 44390 x^{19} + 53641 x^{18} - 46319 x^{17} + 35868 x^{16} - 26390 x^{15} + 12095 x^{14} + 43878 x^{13} + 45313 x^{12} - 6914 x^{11} - 59831 x^{10} - 94496 x^{9} - 64150 x^{8} - 2932 x^{7} + 54993 x^{6} + 69070 x^{5} + 52989 x^{4} + 26576 x^{3} + 8569 x^{2} + 484 x - 121$ |
$30$ |
[2,14] |
$5^{15}\cdot 11^{14}\cdot 61^{14}$ |
$3$ |
$46.62535787186501$ |
$57.92236183029832$ |
|
|
|
$D_{30}$ (as 30T14) |
$[2]$ |
$2$ |
$15$ |
$16637349953072.254$ |
| 30.0.214...923.1 |
$x^{30} - 6 x^{29} + 7 x^{28} + 64 x^{27} - 269 x^{26} + 169 x^{25} + 1697 x^{24} - 5426 x^{23} + 2993 x^{22} + 23602 x^{21} - 68143 x^{20} + 32587 x^{19} + 255113 x^{18} - 722972 x^{17} + 638195 x^{16} + 912175 x^{15} - 3578530 x^{14} + 6806701 x^{13} - 13186196 x^{12} + 20272003 x^{11} - 4641245 x^{10} - 65229024 x^{9} + 170166391 x^{8} - 258098865 x^{7} + 369027093 x^{6} - 495862722 x^{5} + 471214449 x^{4} - 297134325 x^{3} + 130881204 x^{2} - 35973639 x + 5861241$ |
$30$ |
[0,15] |
$-\,3^{15}\cdot 1213^{14}$ |
$2$ |
$47.609724432602746$ |
$60.32412452742269$ |
|
|
|
$D_{30}$ (as 30T14) |
$[7]$ |
$6$ |
$14$ |
$828216417792195.4$ |
| 30.2.347...912.1 |
$x^{30} - 6 x^{28} + 68 x^{26} - 536 x^{24} + 1904 x^{22} - 4192 x^{20} + 2240 x^{18} + 23936 x^{16} - 82432 x^{14} + 138752 x^{12} + 235520 x^{10} - 1073152 x^{8} + 2486272 x^{6} - 2449408 x^{4} + 2015232 x^{2} - 32768$ |
$30$ |
[2,14] |
$2^{45}\cdot 439^{14}$ |
$2$ |
$48.38325729765269$ |
$59.262129560116215$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.553...125.1 |
$x^{30} - 5 x^{29} + 2 x^{28} + 21 x^{27} + 40 x^{26} - 46 x^{25} + 39 x^{24} - 296 x^{23} - 1612 x^{22} - 2561 x^{21} + 962 x^{20} + 4669 x^{19} + 19325 x^{18} + 55780 x^{17} + 98099 x^{16} + 110152 x^{15} + 94739 x^{14} + 50734 x^{13} + 40862 x^{12} + 44242 x^{11} + 25838 x^{10} + 20656 x^{9} + 3131 x^{8} + 2527 x^{7} + 6736 x^{6} + 1305 x^{5} + 3768 x^{4} - 512 x^{3} + 661 x^{2} - 25 x - 1$ |
$30$ |
[2,14] |
$5^{15}\cdot 751^{14}$ |
$2$ |
$49.14171468572467$ |
$61.27805479941412$ |
|
|
|
$D_{30}$ (as 30T14) |
$[4]$ |
$2$ |
$15$ |
$26934148162576.97$ |
| 30.2.493...181.1 |
$x^{30} - 9 x^{29} + 51 x^{28} - 225 x^{27} + 938 x^{26} - 3065 x^{25} + 9027 x^{24} - 23897 x^{23} + 55855 x^{22} - 110855 x^{21} + 206236 x^{20} - 276419 x^{19} + 363187 x^{18} - 228654 x^{17} - 26451 x^{16} + 1021780 x^{15} - 676090 x^{14} + 4072978 x^{13} + 297137 x^{12} + 7819653 x^{11} - 19045735 x^{10} + 54647605 x^{9} - 99924364 x^{8} + 139085676 x^{7} - 209111579 x^{6} + 87062190 x^{5} - 13968112 x^{4} - 6858710 x^{3} - 581573 x^{2} - 428582 x - 60395$ |
$30$ |
[2,14] |
$3^{15}\cdot 7^{25}\cdot 47^{14}$ |
$3$ |
$52.85929028008203$ |
$60.09770990472659$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.0.885...327.1 |
$x^{30} - 4 x^{29} - 32 x^{28} + 92 x^{27} + 588 x^{26} - 752 x^{25} - 6717 x^{24} - 805 x^{23} + 44049 x^{22} + 54263 x^{21} - 93757 x^{20} - 350454 x^{19} - 591742 x^{18} + 307201 x^{17} + 3600412 x^{16} + 5669890 x^{15} - 632841 x^{14} - 17605194 x^{13} - 34361042 x^{12} - 23087625 x^{11} + 45815379 x^{10} + 119941341 x^{9} + 85868062 x^{8} - 30516460 x^{7} - 62011703 x^{6} + 46150369 x^{5} + 155790202 x^{4} + 147686157 x^{3} + 67768188 x^{2} + 10788948 x + 751689$ |
$30$ |
[0,15] |
$-\,3^{14}\cdot 7^{25}\cdot 53^{14}$ |
$3$ |
$53.8973018694987$ |
$63.81854946060407$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$14$ |
$44958053496730.96$ |
| 30.2.251...917.1 |
$x^{30} - 12 x^{29} + 66 x^{28} - 256 x^{27} + 927 x^{26} - 3168 x^{25} + 9346 x^{24} - 23583 x^{23} + 49611 x^{22} - 69044 x^{21} - 38616 x^{20} + 636828 x^{19} - 2408644 x^{18} + 6315846 x^{17} - 13345053 x^{16} + 22777276 x^{15} - 29327226 x^{14} + 27072537 x^{13} - 21946829 x^{12} + 25814826 x^{11} - 24912486 x^{10} - 170752 x^{9} + 13080648 x^{8} + 4473753 x^{7} + 6062833 x^{6} - 18116487 x^{5} - 12966183 x^{4} + 1793340 x^{3} + 11859615 x^{2} + 14211126 x + 3518667$ |
$30$ |
[2,14] |
$3^{14}\cdot 1117^{15}$ |
$2$ |
$55.8062926339262$ |
$57.88782255362521$ |
|
|
|
$D_{30}$ (as 30T14) |
trivial |
$2$ |
$15$ |
$51161213986835160$ |
| 30.2.866...533.1 |
$x^{30} - 8 x^{29} + 43 x^{28} - 163 x^{27} + 446 x^{26} - 385 x^{25} - 2817 x^{24} + 21864 x^{23} - 95826 x^{22} + 323313 x^{21} - 894891 x^{20} + 2178948 x^{19} - 4695543 x^{18} + 9008829 x^{17} - 15016794 x^{16} + 20604987 x^{15} - 18291717 x^{14} - 5218266 x^{13} + 65252417 x^{12} - 159581317 x^{11} + 242005763 x^{10} - 224361122 x^{9} + 47652991 x^{8} + 233622619 x^{7} - 454603911 x^{6} + 464765022 x^{5} - 306287199 x^{4} + 111399003 x^{3} - 14270364 x^{2} - 456489 x - 204363$ |
$30$ |
[2,14] |
$3^{14}\cdot 1213^{15}$ |
$2$ |
$58.154990078339566$ |
$60.32412452742269$ |
|
|
|
$D_{30}$ (as 30T14) |
$[7]$ |
$2$ |
$15$ |
$15542059406474578$ |
| 30.0.232...507.1 |
$x^{30} - 10 x^{29} + 61 x^{28} - 237 x^{27} + 778 x^{26} - 3405 x^{25} + 15460 x^{24} - 60278 x^{23} + 192610 x^{22} - 510297 x^{21} + 1383385 x^{20} - 4041707 x^{19} + 9924143 x^{18} - 17842317 x^{17} + 24600828 x^{16} - 34908557 x^{15} + 63588094 x^{14} - 98506255 x^{13} + 76596775 x^{12} + 35322863 x^{11} - 158934807 x^{10} + 164450178 x^{9} - 32963823 x^{8} - 89872598 x^{7} + 100815527 x^{6} - 32611777 x^{5} - 29849456 x^{4} + 21874773 x^{3} + 4173593 x^{2} - 2833545 x + 511225$ |
$30$ |
[0,15] |
$-\,3^{15}\cdot 7^{25}\cdot 47^{15}$ |
$3$ |
$60.09770990472659$ |
$60.09770990472659$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$14$ |
|
| 30.2.369...192.1 |
$x^{30} + 21 x^{28} + 252 x^{26} + 2576 x^{24} + 21854 x^{22} + 141610 x^{20} + 778120 x^{18} + 3545248 x^{16} + 10363059 x^{14} + 12721870 x^{12} + 12233095 x^{10} + 61376763 x^{8} + 101689553 x^{6} + 46757074 x^{4} + 189314048 x^{2} - 8890903$ |
$30$ |
[2,14] |
$2^{30}\cdot 7^{25}\cdot 47^{14}$ |
$3$ |
$61.036650944755856$ |
$69.39485798234787$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.720...008.1 |
$x^{30} - 2 x^{29} - 23 x^{28} + 8 x^{27} + 345 x^{26} + 28 x^{25} - 2693 x^{24} + 1450 x^{23} + 7229 x^{22} - 38432 x^{21} + 58092 x^{20} + 356470 x^{19} - 723751 x^{18} - 1371492 x^{17} + 3863397 x^{16} + 1380230 x^{15} - 15352306 x^{14} + 15870788 x^{13} + 16422232 x^{12} - 38874240 x^{11} + 33529059 x^{10} - 4237632 x^{9} - 75433203 x^{8} + 71258490 x^{7} - 7676382 x^{6} - 36343910 x^{5} + 98404495 x^{4} - 12881288 x^{3} - 33737846 x^{2} + 23425100 x - 1170175$ |
$30$ |
[2,14] |
$2^{45}\cdot 7^{20}\cdot 47^{14}$ |
$3$ |
$62.41026412356096$ |
$70.95657033042767$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$15$ |
$423913812214801.06$ |
| 30.2.814...008.1 |
$x^{30} - 18 x^{26} - 81 x^{24} - 801 x^{22} - 2916 x^{20} + 3339 x^{18} + 24813 x^{16} - 9801 x^{14} - 132408 x^{12} - 50058 x^{10} + 330723 x^{8} + 326430 x^{6} - 910521 x^{4} - 123930 x^{2} - 87723$ |
$30$ |
[2,14] |
$2^{30}\cdot 3^{45}\cdot 47^{14}$ |
$3$ |
$62.664879869011486$ |
$71.2460525222275$ |
|
|
|
$D_{30}$ (as 30T14) |
$[6]$ |
$2$ |
$15$ |
$296194637771602.5$ |
| 30.2.140...993.1 |
$x^{30} - 14 x^{29} + 64 x^{28} + 24 x^{27} - 1274 x^{26} + 4221 x^{25} + 1520 x^{24} - 61714 x^{23} + 322788 x^{22} - 1268819 x^{21} + 4120918 x^{20} - 10329492 x^{19} + 18568131 x^{18} - 22295655 x^{17} + 17562709 x^{16} - 18552568 x^{15} + 47623554 x^{14} - 83848883 x^{13} + 48691904 x^{12} + 81669714 x^{11} - 168449267 x^{10} + 64324401 x^{9} + 123821725 x^{8} - 148517443 x^{7} + 3976996 x^{6} + 60227838 x^{5} + 57467829 x^{4} - 161872983 x^{3} + 122605362 x^{2} - 45901701 x + 11156643$ |
$30$ |
[2,14] |
$3^{15}\cdot 7^{25}\cdot 53^{15}$ |
$3$ |
$63.81854946060407$ |
$63.81854946060407$ |
|
|
|
$D_{30}$ (as 30T14) |
$[6]$ |
$2$ |
$15$ |
$636403510039271.4$ |
| 30.2.260...733.1 |
$x^{30} - 5 x^{29} + 10 x^{28} + 22 x^{27} - 308 x^{26} + 1144 x^{25} - 1516 x^{24} - 4606 x^{23} + 28293 x^{22} - 68184 x^{21} + 27144 x^{20} + 450990 x^{19} - 2006580 x^{18} + 4552692 x^{17} - 5271530 x^{16} - 2226410 x^{15} + 24214532 x^{14} - 55701478 x^{13} + 48008441 x^{12} + 89945909 x^{11} - 331510042 x^{10} + 381711875 x^{9} - 154794876 x^{8} + 347817573 x^{7} - 2019843810 x^{6} + 6632117271 x^{5} - 17143156467 x^{4} + 32496032304 x^{3} - 40410369045 x^{2} + 29356289082 x - 9829355589$ |
$30$ |
[2,14] |
$13^{25}\cdot 79^{14}$ |
$2$ |
$65.1396523175547$ |
$75.35284821191699$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$15$ |
$5125509873276984.0$ |
| 30.2.559...057.1 |
$x^{30} - 10 x^{28} - 58 x^{27} + 34 x^{26} + 500 x^{25} + 637 x^{24} + 8703 x^{23} - 44984 x^{22} + 99390 x^{21} - 379885 x^{20} + 1040807 x^{19} - 1771796 x^{18} + 2894747 x^{17} - 4678463 x^{16} + 2203794 x^{15} + 6924046 x^{14} - 5084361 x^{13} - 15900478 x^{12} + 51479540 x^{11} - 52379801 x^{10} - 18411358 x^{9} + 233382658 x^{8} - 161970837 x^{7} - 210803838 x^{6} + 465828381 x^{5} + 44095473 x^{4} - 239436324 x^{3} - 51080112 x^{2} + 186838326 x - 51009507$ |
$30$ |
[2,14] |
$3^{15}\cdot 11^{27}\cdot 29^{14}$ |
$3$ |
$72.15500199327482$ |
$80.725927390392$ |
|
|
|
$D_{30}$ (as 30T14) |
$[5]$ |
$2$ |
$15$ |
$7555286829407433.0$ |
| 30.0.890...024.1 |
$x^{30} - 15 x^{29} + 101 x^{28} - 399 x^{27} + 1242 x^{26} - 3998 x^{25} + 11455 x^{24} - 22529 x^{23} + 35437 x^{22} - 71143 x^{21} + 104316 x^{20} - 50700 x^{19} + 560519 x^{18} - 3151921 x^{17} + 8505751 x^{16} - 22733229 x^{15} + 61111370 x^{14} - 106644394 x^{13} + 112946117 x^{12} - 102148811 x^{11} + 1192199 x^{10} + 286913107 x^{9} + 441814736 x^{8} - 4500784224 x^{7} + 13057799604 x^{6} - 27624765600 x^{5} + 48593810448 x^{4} - 63365013072 x^{3} + 54649778112 x^{2} - 27905834880 x + 6570590400$ |
$30$ |
[0,15] |
$-\,2^{20}\cdot 3^{14}\cdot 31^{29}$ |
$3$ |
$73.28125302945203$ |
$76.01458494480502$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3, 15]$ |
$2$ |
$14$ |
$5987768223317770.0$ |
| 30.2.106...117.1 |
$x^{30} - 4 x^{29} + 25 x^{28} + 44 x^{27} + 142 x^{26} + 1753 x^{25} + 5070 x^{24} + 19051 x^{23} + 107761 x^{22} + 284642 x^{21} + 911400 x^{20} + 3646613 x^{19} + 9291740 x^{18} + 20715454 x^{17} + 65537175 x^{16} + 154308319 x^{15} + 245516194 x^{14} + 589626398 x^{13} + 1326230058 x^{12} + 1580601668 x^{11} + 3095212844 x^{10} + 6982635715 x^{9} + 6155828661 x^{8} + 4594494406 x^{7} + 7361686074 x^{6} - 1634263143 x^{5} - 14965578079 x^{4} - 24248921019 x^{3} - 33666020141 x^{2} - 23528546844 x - 5697890847$ |
$30$ |
[2,14] |
$13^{25}\cdot 103^{14}$ |
$2$ |
$73.72421638289202$ |
$86.04085933738696$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$15$ |
$36549021757019940$ |
| 30.2.109...408.1 |
$x^{30} - 36 x^{28} - 34 x^{27} + 519 x^{26} + 810 x^{25} - 4113 x^{24} - 5286 x^{23} + 28593 x^{22} + 1586 x^{21} - 234216 x^{20} + 59664 x^{19} + 1336211 x^{18} - 752292 x^{17} - 4337844 x^{16} + 8774890 x^{15} + 15227631 x^{14} - 52204146 x^{13} - 31821646 x^{12} + 157487712 x^{11} - 116798559 x^{10} - 181354796 x^{9} + 522821355 x^{8} - 139580268 x^{7} - 515090241 x^{6} + 214013628 x^{5} + 259309554 x^{4} - 80665514 x^{3} - 76010331 x^{2} + 9686802 x + 9742591$ |
$30$ |
[2,14] |
$2^{45}\cdot 3^{40}\cdot 47^{14}$ |
$3$ |
$73.79365137635298$ |
$83.89877029615896$ |
|
|
|
$D_{30}$ (as 30T14) |
$[6]$ |
$2$ |
$15$ |
$2869549097697064.0$ |
| 30.0.130...000.1 |
$x^{30} - 10 x^{29} + 50 x^{28} - 180 x^{27} + 880 x^{26} - 4860 x^{25} + 19940 x^{24} - 67780 x^{23} + 258450 x^{22} - 995040 x^{21} + 3195960 x^{20} - 9059420 x^{19} + 25126640 x^{18} - 67037140 x^{17} + 161122380 x^{16} - 334886124 x^{15} + 582940405 x^{14} - 821541110 x^{13} + 906110870 x^{12} - 747664000 x^{11} + 424548296 x^{10} - 149310960 x^{9} + 69874800 x^{8} - 112969920 x^{7} + 116857680 x^{6} - 57442144 x^{5} + 10887520 x^{4} - 2583040 x^{3} + 6750720 x^{2} - 6082560 x + 1982464$ |
$30$ |
[0,15] |
$-\,2^{28}\cdot 5^{38}\cdot 7^{25}$ |
$3$ |
$74.22867382033311$ |
$82.0237022727709$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$14$ |
$106243385101932900000$ |
| 30.2.176...000.1 |
$x^{30} + 5 x^{28} - 85 x^{26} - 88 x^{25} - 500 x^{24} - 660 x^{23} + 1075 x^{22} - 4300 x^{21} + 6219 x^{20} - 4650 x^{19} - 4070 x^{18} + 37800 x^{17} + 146685 x^{16} - 289256 x^{15} + 268975 x^{14} - 358670 x^{13} + 867200 x^{12} - 813850 x^{11} + 218327 x^{10} - 2217700 x^{9} + 1830055 x^{8} + 116800 x^{7} - 178035 x^{6} - 4110946 x^{5} + 3028300 x^{4} + 1354400 x^{3} + 1825300 x^{2} - 1620080 x + 3905924$ |
$30$ |
[2,14] |
$2^{20}\cdot 5^{51}\cdot 11^{14}$ |
$3$ |
$74.97542292382917$ |
$81.21420805520673$ |
|
|
|
$D_{30}$ (as 30T14) |
$[5]$ |
$2$ |
$15$ |
$37699446885485910$ |
| 30.2.267...072.1 |
$x^{30} - 12 x^{29} + 51 x^{28} - 54 x^{27} - 96 x^{26} - 398 x^{25} + 2296 x^{24} - 3310 x^{23} + 16129 x^{22} - 30860 x^{21} - 127633 x^{20} + 419254 x^{19} - 707757 x^{18} + 1778360 x^{17} - 1113719 x^{16} + 952166 x^{15} - 14425087 x^{14} + 25575888 x^{13} - 24462805 x^{12} - 3155214 x^{11} + 15469687 x^{10} + 154709904 x^{9} - 335686903 x^{8} - 277973922 x^{7} + 189883324 x^{6} + 555685968 x^{5} - 567785140 x^{4} - 435790804 x^{3} + 218982247 x^{2} + 384129450 x - 242341011$ |
$30$ |
[2,14] |
$2^{20}\cdot 3^{15}\cdot 31^{29}$ |
$3$ |
$76.01458494480502$ |
$76.01458494480502$ |
|
|
|
$D_{30}$ (as 30T14) |
$[15]$ |
$2$ |
$15$ |
$20155454417269376$ |
| 30.2.315...792.1 |
$x^{30} - 2 x^{29} - 38 x^{28} + 36 x^{27} + 784 x^{26} - 426 x^{25} - 9742 x^{24} + 8522 x^{23} + 71736 x^{22} - 161768 x^{21} - 240721 x^{20} + 1874928 x^{19} - 845390 x^{18} - 12583646 x^{17} + 15591269 x^{16} + 48883962 x^{15} - 102362105 x^{14} - 79660560 x^{13} + 324581346 x^{12} - 16411710 x^{11} - 410781827 x^{10} + 64288652 x^{9} + 3815648 x^{8} + 401545966 x^{7} - 267045532 x^{6} - 939122570 x^{5} + 1678147738 x^{4} + 798246796 x^{3} - 792360767 x^{2} + 370080920 x - 94268075$ |
$30$ |
[2,14] |
$2^{30}\cdot 3^{15}\cdot 7^{20}\cdot 47^{14}$ |
$4$ |
$76.43665090752576$ |
$86.90369560372788$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.336...125.1 |
$x^{30} - 40 x^{28} + 680 x^{26} - 95 x^{25} - 6300 x^{24} + 3895 x^{23} + 35550 x^{22} - 50060 x^{21} - 120356 x^{20} + 302025 x^{19} + 155855 x^{18} - 1018025 x^{17} + 355680 x^{16} + 1722307 x^{15} - 1227375 x^{14} - 2109050 x^{13} + 1247350 x^{12} + 3301035 x^{11} - 663316 x^{10} - 7561625 x^{9} + 4175640 x^{8} + 6766225 x^{7} - 3148570 x^{6} - 2921786 x^{5} - 7977250 x^{4} + 11644335 x^{3} - 1548900 x^{2} + 1853820 x - 3234249$ |
$30$ |
[2,14] |
$5^{51}\cdot 31^{14}$ |
$2$ |
$76.59806483915678$ |
$85.88747878779554$ |
|
|
|
$D_{30}$ (as 30T14) |
$[5]$ |
$2$ |
$15$ |
$22405872868524250$ |
| 30.0.194...643.1 |
$x^{30} - 18 x^{28} - 2 x^{27} + 129 x^{26} + 21 x^{25} - 560 x^{24} + 528 x^{23} - 3795 x^{22} - 9175 x^{21} + 65964 x^{20} + 6897 x^{19} - 125323 x^{18} - 249609 x^{17} + 374754 x^{16} - 1909 x^{15} + 7638627 x^{14} - 339714 x^{13} - 14480831 x^{12} + 14654157 x^{11} + 2731332 x^{10} - 31988576 x^{9} + 111800262 x^{8} - 44749935 x^{7} - 320305013 x^{6} + 143409867 x^{5} + 348862020 x^{4} - 132695187 x^{3} - 168409734 x^{2} + 74322612 x + 56896203$ |
$30$ |
[0,15] |
$-\,3^{35}\cdot 11^{24}\cdot 13^{14}$ |
$3$ |
$81.20744432409458$ |
$88.45599827588869$ |
|
|
|
$D_{30}$ (as 30T14) |
$[5, 5]$ |
$6$ |
$14$ |
$86155859678606430$ |
| 30.2.200...237.1 |
$x^{30} - x^{29} + 37 x^{28} - 19 x^{27} + 528 x^{26} - 1519 x^{25} + 1520 x^{24} - 15787 x^{23} + 41864 x^{22} + 77276 x^{21} + 550055 x^{20} + 1053221 x^{19} + 1658483 x^{18} + 4297883 x^{17} - 3126022 x^{16} + 11356886 x^{15} - 63797368 x^{14} - 20948104 x^{13} - 383967331 x^{12} - 221810632 x^{11} - 1131936874 x^{10} - 513431179 x^{9} - 1802309284 x^{8} - 691169194 x^{7} - 1693873010 x^{6} - 881793531 x^{5} - 949135100 x^{4} - 686071950 x^{3} - 387544399 x^{2} - 148638600 x - 22669425$ |
$30$ |
[2,14] |
$13^{25}\cdot 127^{14}$ |
$2$ |
$81.29450606807443$ |
$95.54060507126704$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$15$ |
$213947204008034300$ |
| 30.0.264...375.1 |
$x^{30} - 3 x^{29} + 22 x^{28} + x^{27} - 200 x^{26} + 701 x^{25} - 3101 x^{24} - 2861 x^{23} + 23117 x^{22} - 41505 x^{21} + 119130 x^{20} + 336234 x^{19} - 1289931 x^{18} - 144773 x^{17} + 1591015 x^{16} - 9659086 x^{15} + 22141057 x^{14} + 49729917 x^{13} - 131959949 x^{12} - 44783875 x^{11} + 234838614 x^{10} - 171466630 x^{9} + 222249120 x^{8} - 253243330 x^{7} + 124849840 x^{6} - 165097636 x^{5} + 114545943 x^{4} - 32634277 x^{3} + 189467569 x^{2} + 44037120 x + 73977201$ |
$30$ |
[0,15] |
$-\,5^{25}\cdot 7^{14}\cdot 11^{27}$ |
$3$ |
$82.05546399289324$ |
$87.55429195293927$ |
|
|
|
$D_{30}$ (as 30T14) |
$[20]$ |
$2$ |
$14$ |
$88623885288079840$ |
| 30.2.288...888.1 |
$x^{30} - 15 x^{29} + 147 x^{28} - 1023 x^{27} + 5811 x^{26} - 27519 x^{25} + 112559 x^{24} - 403035 x^{23} + 1280937 x^{22} - 3694065 x^{21} + 9835881 x^{20} - 24816525 x^{19} + 59725345 x^{18} - 135054981 x^{17} + 275335749 x^{16} - 485388873 x^{15} + 717772050 x^{14} - 838999836 x^{13} + 666006624 x^{12} + 38462688 x^{11} - 1306968048 x^{10} + 2872557216 x^{9} - 3651387984 x^{8} + 2000512080 x^{7} + 1506623328 x^{6} - 4661960832 x^{5} + 3711764736 x^{4} + 752467968 x^{3} - 1298903040 x^{2} + 429981696 x - 95551488$ |
$30$ |
[2,14] |
$2^{42}\cdot 3^{35}\cdot 11^{27}$ |
$3$ |
$82.288069619739$ |
$88.19416930177523$ |
|
|
|
$D_{30}$ (as 30T14) |
$[5]$ |
$2$ |
$15$ |
$679991591728579500000$ |
| 30.2.309...653.1 |
$x^{30} - 6 x^{29} - 18 x^{28} + 100 x^{27} + 378 x^{26} - 1910 x^{25} + 3691 x^{24} - 2390 x^{23} - 22709 x^{22} + 31506 x^{21} - 141708 x^{20} - 475848 x^{19} + 805098 x^{18} - 2230266 x^{17} + 771245 x^{16} + 6632814 x^{15} - 13764227 x^{14} + 14848870 x^{13} - 13009152 x^{12} - 134907848 x^{11} + 58625708 x^{10} - 54852162 x^{9} + 45691879 x^{8} + 414308090 x^{7} - 873708228 x^{6} - 933089088 x^{5} + 829858304 x^{4} + 837142784 x^{3} - 180037824 x^{2} - 751306880 x - 479618816$ |
$30$ |
[2,14] |
$13^{25}\cdot 131^{14}$ |
$2$ |
$82.4795086133739$ |
$97.03351744472174$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3]$ |
$2$ |
$15$ |
$859738294740544500$ |
| 30.2.359...781.1 |
$x^{30} - 90 x^{27} - 207 x^{26} - 2610 x^{25} - 405 x^{24} - 3888 x^{23} + 2574 x^{22} + 288252 x^{21} - 5670 x^{20} + 91260 x^{19} + 5022504 x^{18} - 18683946 x^{17} - 30932253 x^{16} - 33664572 x^{15} - 17108982 x^{14} - 13608891 x^{13} - 38156319 x^{12} - 16816572 x^{11} - 39146328 x^{10} - 2345193 x^{9} + 1056078 x^{8} + 6112665 x^{7} + 8337411 x^{6} - 393660 x^{5} - 1455084 x^{4} - 1874988 x^{3} - 747225 x^{2} + 277020 x - 87723$ |
$30$ |
[2,14] |
$3^{45}\cdot 7^{15}\cdot 47^{14}$ |
$3$ |
$82.89784403557111$ |
$94.24966843443005$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.0.674...311.1 |
$x^{30} - 10 x^{29} + 69 x^{28} - 287 x^{27} + 1072 x^{26} - 3063 x^{25} + 13735 x^{24} - 67414 x^{23} + 317237 x^{22} - 1081575 x^{21} + 2189752 x^{20} + 267449 x^{19} - 22260135 x^{18} + 94846878 x^{17} - 226526489 x^{16} + 268089611 x^{15} + 256215072 x^{14} - 2027746525 x^{13} + 5263028325 x^{12} - 8680080370 x^{11} + 9722377071 x^{10} - 7161753333 x^{9} + 3155881240 x^{8} - 2306326885 x^{7} + 5699059546 x^{6} - 7349210956 x^{5} + 3523770608 x^{4} + 2961058864 x^{3} - 5191891616 x^{2} + 34792512 x + 2250198272$ |
$30$ |
[0,15] |
$-\,11^{14}\cdot 31^{29}$ |
$2$ |
$84.6511554574516$ |
$91.69506864162155$ |
|
|
|
$D_{30}$ (as 30T14) |
$[3, 15]$ |
$2$ |
$14$ |
$251295042288680030$ |
| 30.2.843...229.1 |
$x^{30} - x^{29} + 48 x^{28} - 85 x^{27} + 1967 x^{26} - 1738 x^{25} + 33544 x^{24} - 23822 x^{23} + 400249 x^{22} - 212619 x^{21} + 2929256 x^{20} - 1368567 x^{19} + 15352897 x^{18} - 11733826 x^{17} + 52796860 x^{16} - 86397122 x^{15} + 133404123 x^{14} - 309011585 x^{13} + 343095188 x^{12} - 554839313 x^{11} + 907700745 x^{10} - 722402880 x^{9} + 773792380 x^{8} - 1083533472 x^{7} + 546182032 x^{6} - 261376128 x^{5} + 56059648 x^{4} + 187162624 x^{3} + 55521280 x^{2} + 5734400 x + 262144$ |
$30$ |
[2,14] |
$3^{15}\cdot 7^{25}\cdot 131^{14}$ |
$3$ |
$85.28426913466241$ |
$100.33319494700244$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.115...416.1 |
$x^{30} - 55 x^{28} + 1540 x^{26} - 27940 x^{24} + 346170 x^{22} - 3016794 x^{20} + 20879760 x^{18} - 123223980 x^{16} + 607336389 x^{14} - 2453237127 x^{12} + 8026753284 x^{10} - 19905360552 x^{8} + 33121509080 x^{6} - 31673966720 x^{4} + 14168718608 x^{2} - 2775316016$ |
$30$ |
[2,14] |
$2^{40}\cdot 11^{27}\cdot 19^{14}$ |
$3$ |
$86.17443102913165$ |
$95.06125524350325$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.2.121...456.1 |
$x^{30} + 42 x^{28} + 1008 x^{26} + 20608 x^{24} + 349664 x^{22} + 4531520 x^{20} + 49799680 x^{18} + 453791744 x^{16} + 2652943104 x^{14} + 6513597440 x^{12} + 12526689280 x^{10} + 125699610624 x^{8} + 416520409088 x^{6} + 383033950208 x^{4} + 3101721362432 x^{2} - 291337109504$ |
$30$ |
[2,14] |
$2^{45}\cdot 7^{25}\cdot 47^{14}$ |
$3$ |
$86.31885956790632$ |
$98.1391493175912$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
| 30.0.148...224.1 |
$x^{30} - 2 x^{29} + 25 x^{28} + 12 x^{27} + 787 x^{26} - 222 x^{25} + 11528 x^{24} + 34286 x^{23} + 92052 x^{22} + 460672 x^{21} + 1961882 x^{20} + 4601892 x^{19} + 18070831 x^{18} + 52381444 x^{17} + 196856051 x^{16} + 439130412 x^{15} + 1035011473 x^{14} + 4659184860 x^{13} + 8859661608 x^{12} + 20836310340 x^{11} + 50214905860 x^{10} + 149871468650 x^{9} + 337939397738 x^{8} + 371720319280 x^{7} + 1173202404167 x^{6} + 3070531595992 x^{5} + 3963996401947 x^{4} + 3691021714414 x^{3} + 11555434390480 x^{2} + 6461857988300 x + 18474079034125$ |
$30$ |
[0,15] |
$-\,2^{30}\cdot 3^{15}\cdot 7^{20}\cdot 47^{15}$ |
$4$ |
$86.90369560372788$ |
$86.90369560372788$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$14$ |
|
| 30.0.171...000.1 |
$x^{30} - 2 x^{29} + 6 x^{28} - 20 x^{27} + 203 x^{26} - 514 x^{25} + 2174 x^{24} - 4252 x^{23} + 20870 x^{22} - 41516 x^{21} + 165980 x^{20} - 181912 x^{19} + 943886 x^{18} - 759780 x^{17} + 5437908 x^{16} - 252952 x^{15} + 25068565 x^{14} + 12835270 x^{13} + 98218230 x^{12} + 25084220 x^{11} + 222350423 x^{10} - 36460186 x^{9} + 424742798 x^{8} + 77554100 x^{7} + 1030413684 x^{6} - 223810968 x^{5} + 696270024 x^{4} - 131308432 x^{3} + 369507520 x^{2} - 126354816 x + 11490304$ |
$30$ |
[0,15] |
$-\,2^{42}\cdot 5^{25}\cdot 11^{27}$ |
$3$ |
$87.33139835998935$ |
$93.59947520842213$ |
|
|
|
$D_{30}$ (as 30T14) |
$[20]$ |
$2$ |
$14$ |
$320590409850424850000$ |
| 30.2.217...592.1 |
$x^{30} - 7 x^{28} - 56 x^{26} + 595 x^{24} - 4165 x^{22} + 35035 x^{20} - 220402 x^{18} - 376271 x^{16} + 43094177 x^{14} - 155195495 x^{12} - 128417485 x^{10} + 528256015 x^{8} + 3989023801 x^{6} - 16264066672 x^{4} + 22012917829 x^{2} - 10622444175$ |
$30$ |
[2,14] |
$2^{30}\cdot 7^{25}\cdot 103^{14}$ |
$3$ |
$88.02426360694653$ |
$102.72992586245864$ |
|
|
|
$D_{30}$ (as 30T14) |
not computed |
$2$ |
$15$ |
|
