| 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 |
| 44.0.488...561.1 |
$x^{44} - x^{43} + x^{41} - x^{40} + x^{38} - x^{37} + x^{35} - x^{34} + x^{32} - x^{31} + x^{29} - x^{28} + x^{26} - x^{25} + x^{23} - x^{22} + x^{21} - x^{19} + x^{18} - x^{16} + x^{15} - x^{13} + x^{12} - x^{10} + x^{9} - x^{7} + x^{6} - x^{4} + x^{3} - x + 1$ |
$44$ |
[0,22] |
$3^{22}\cdot 23^{42}$ |
$2$ |
$34.5455207339$ |
$34.54552073394309$ |
✓ |
✓ |
✓ |
$C_2\times C_{22}$ (as 44T2) |
$[69]$ |
$138$ |
$21$ |
$5770465240890302.0$ |
| 44.0.274...664.1 |
$x^{44} - x^{42} + x^{40} - x^{38} + x^{36} - x^{34} + x^{32} - x^{30} + x^{28} - x^{26} + x^{24} - x^{22} + x^{20} - x^{18} + x^{16} - x^{14} + x^{12} - x^{10} + x^{8} - x^{6} + x^{4} - x^{2} + 1$ |
$44$ |
[0,22] |
$2^{44}\cdot 23^{42}$ |
$2$ |
$39.8897313901$ |
$39.88973139007569$ |
✓ |
✓ |
✓ |
$C_2\times C_{22}$ (as 44T2) |
$[201]$ |
$92$ |
$21$ |
$23864585134104340$ |
| 44.0.371...625.1 |
$x^{44} - x^{43} + 2 x^{42} - 3 x^{41} + 5 x^{40} - 8 x^{39} + 13 x^{38} - 21 x^{37} + 34 x^{36} - 55 x^{35} + 89 x^{34} - 144 x^{33} + 233 x^{32} - 377 x^{31} + 610 x^{30} - 987 x^{29} + 1597 x^{28} - 2584 x^{27} + 4181 x^{26} - 6765 x^{25} + 10946 x^{24} - 17711 x^{23} + 28657 x^{22} + 17711 x^{21} + 10946 x^{20} + 6765 x^{19} + 4181 x^{18} + 2584 x^{17} + 1597 x^{16} + 987 x^{15} + 610 x^{14} + 377 x^{13} + 233 x^{12} + 144 x^{11} + 89 x^{10} + 55 x^{9} + 34 x^{8} + 21 x^{7} + 13 x^{6} + 8 x^{5} + 5 x^{4} + 3 x^{3} + 2 x^{2} + x + 1$ |
$44$ |
[0,22] |
$5^{22}\cdot 23^{42}$ |
$2$ |
$44.5980754962$ |
$44.59807549620821$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.609...321.1 |
$x^{44} - x^{43} - x^{42} + 3 x^{41} - x^{40} - 5 x^{39} + 7 x^{38} + 3 x^{37} - 17 x^{36} + 11 x^{35} + 23 x^{34} - 45 x^{33} - x^{32} + 91 x^{31} - 89 x^{30} - 93 x^{29} + 271 x^{28} - 85 x^{27} - 457 x^{26} + 627 x^{25} + 287 x^{24} - 1541 x^{23} + 967 x^{22} - 3082 x^{21} + 1148 x^{20} + 5016 x^{19} - 7312 x^{18} - 2720 x^{17} + 17344 x^{16} - 11904 x^{15} - 22784 x^{14} + 46592 x^{13} - 1024 x^{12} - 92160 x^{11} + 94208 x^{10} + 90112 x^{9} - 278528 x^{8} + 98304 x^{7} + 458752 x^{6} - 655360 x^{5} - 262144 x^{4} + 1572864 x^{3} - 1048576 x^{2} - 2097152 x + 4194304$ |
$44$ |
[0,22] |
$7^{22}\cdot 23^{42}$ |
$2$ |
$52.7691545617$ |
$52.76915456165355$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.114...856.1 |
$x^{44} - 2 x^{42} + 4 x^{40} - 8 x^{38} + 16 x^{36} - 32 x^{34} + 64 x^{32} - 128 x^{30} + 256 x^{28} - 512 x^{26} + 1024 x^{24} - 2048 x^{22} + 4096 x^{20} - 8192 x^{18} + 16384 x^{16} - 32768 x^{14} + 65536 x^{12} - 131072 x^{10} + 262144 x^{8} - 524288 x^{6} + 1048576 x^{4} - 2097152 x^{2} + 4194304$ |
$44$ |
[0,22] |
$2^{66}\cdot 23^{42}$ |
$2$ |
$56.4125991313$ |
$56.412599131264805$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.114...856.2 |
$x^{44} + 2 x^{42} + 4 x^{40} + 8 x^{38} + 16 x^{36} + 32 x^{34} + 64 x^{32} + 128 x^{30} + 256 x^{28} + 512 x^{26} + 1024 x^{24} + 2048 x^{22} + 4096 x^{20} + 8192 x^{18} + 16384 x^{16} + 32768 x^{14} + 65536 x^{12} + 131072 x^{10} + 262144 x^{8} + 524288 x^{6} + 1048576 x^{4} + 2097152 x^{2} + 4194304$ |
$44$ |
[0,22] |
$2^{66}\cdot 23^{42}$ |
$2$ |
$56.4125991313$ |
$56.412599131264805$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.162...944.1 |
$x^{44} - 21 x^{42} + 251 x^{40} - 2052 x^{38} + 12691 x^{36} - 61778 x^{34} + 243629 x^{32} - 788303 x^{30} + 2113175 x^{28} - 4700059 x^{26} + 8677408 x^{24} - 13214290 x^{22} + 16492213 x^{20} - 16617826 x^{18} + 13339732 x^{16} - 8284333 x^{14} + 3900832 x^{12} - 1305733 x^{10} + 306592 x^{8} - 41184 x^{6} + 3641 x^{4} - 66 x^{2} + 1$ |
$44$ |
[0,22] |
$2^{44}\cdot 3^{22}\cdot 23^{40}$ |
$3$ |
$59.9135453394$ |
$59.91354533944697$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$12$ |
$21$ |
|
| 44.0.126...409.1 |
$x^{44} - x^{43} - 2 x^{42} + 5 x^{41} + x^{40} - 16 x^{39} + 13 x^{38} + 35 x^{37} - 74 x^{36} - 31 x^{35} + 253 x^{34} - 160 x^{33} - 599 x^{32} + 1079 x^{31} + 718 x^{30} - 3955 x^{29} + 1801 x^{28} + 10064 x^{27} - 15467 x^{26} - 14725 x^{25} + 61126 x^{24} - 16951 x^{23} - 166427 x^{22} - 50853 x^{21} + 550134 x^{20} - 397575 x^{19} - 1252827 x^{18} + 2445552 x^{17} + 1312929 x^{16} - 8649585 x^{15} + 4710798 x^{14} + 21237957 x^{13} - 35370351 x^{12} - 28343520 x^{11} + 134454573 x^{10} - 49424013 x^{9} - 353939706 x^{8} + 502211745 x^{7} + 559607373 x^{6} - 2066242608 x^{5} + 387420489 x^{4} + 5811307335 x^{3} - 6973568802 x^{2} - 10460353203 x + 31381059609$ |
$44$ |
[0,22] |
$11^{22}\cdot 23^{42}$ |
$2$ |
$66.1496360045$ |
$66.14963600447149$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.220...625.1 |
$x^{44} - x^{43} + 32 x^{42} - 21 x^{41} + 608 x^{40} - 302 x^{39} + 7441 x^{38} - 2334 x^{37} + 66293 x^{36} - 12644 x^{35} + 432280 x^{34} - 28161 x^{33} + 2141316 x^{32} + 33285 x^{31} + 8001765 x^{30} + 693375 x^{29} + 23077394 x^{28} + 2792911 x^{27} + 51292654 x^{26} + 7229970 x^{25} + 89635724 x^{24} + 12947356 x^{23} + 123068074 x^{22} + 17592284 x^{21} + 133953248 x^{20} + 17840654 x^{19} + 114270996 x^{18} + 13803865 x^{17} + 76240835 x^{16} + 7576064 x^{15} + 38619954 x^{14} + 2830121 x^{13} + 14698338 x^{12} + 489978 x^{11} + 3921204 x^{10} - 46901 x^{9} + 736586 x^{8} - 41505 x^{7} + 78482 x^{6} - 8849 x^{5} + 5761 x^{4} - 386 x^{3} + 117 x^{2} + 6 x + 1$ |
$44$ |
[0,22] |
$3^{22}\cdot 5^{22}\cdot 23^{40}$ |
$3$ |
$66.985380076$ |
$66.98538007600956$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.860...376.1 |
$x^{44} + 45 x^{42} + 944 x^{40} + 12258 x^{38} + 110332 x^{36} + 730456 x^{34} + 3683681 x^{32} + 14457937 x^{30} + 44741027 x^{28} + 109922933 x^{26} + 214871383 x^{24} + 333482657 x^{22} + 408408103 x^{20} + 390551177 x^{18} + 287137498 x^{16} + 158825372 x^{14} + 64156063 x^{12} + 18161627 x^{10} + 3397768 x^{8} + 384582 x^{6} + 22748 x^{4} + 528 x^{2} + 1$ |
$44$ |
[0,22] |
$2^{44}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$69.0910414679$ |
$69.09104146788619$ |
✓ |
✓ |
✓ |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$4$ |
$21$ |
|
| 44.44.860...376.1 |
$x^{44} - 43 x^{42} + 860 x^{40} - 10622 x^{38} + 90724 x^{36} - 568616 x^{34} + 2708289 x^{32} - 10016751 x^{30} + 29148711 x^{28} - 67217827 x^{26} + 123140835 x^{24} - 178931535 x^{22} + 205096155 x^{20} - 183670815 x^{18} + 126676230 x^{16} - 65934180 x^{14} + 25178895 x^{12} - 6781005 x^{10} + 1216380 x^{8} - 133210 x^{6} + 7700 x^{4} - 176 x^{2} + 1$ |
$44$ |
[44,0] |
$2^{44}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$69.0910414679$ |
$69.09104146788619$ |
|
✓ |
✓ |
$C_2\times C_{22}$ (as 44T2) |
trivial |
$2$ |
$43$ |
$396826934994876900000000000$ |
| 44.0.860...376.2 |
$x^{44} + 23 x^{42} + 299 x^{40} + 2668 x^{38} + 18055 x^{36} + 96646 x^{34} + 421245 x^{32} + 1516689 x^{30} + 4557519 x^{28} + 11467961 x^{26} + 24199128 x^{24} + 42662286 x^{22} + 62532561 x^{20} + 75392022 x^{18} + 73935156 x^{16} + 57768387 x^{14} + 35301228 x^{12} + 16195335 x^{10} + 5446584 x^{8} + 1210352 x^{6} + 180389 x^{4} + 11638 x^{2} + 529$ |
$44$ |
[0,22] |
$2^{44}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$69.0910414679$ |
$69.09104146788619$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.860...376.3 |
$x^{44} + 3 x^{42} + 9 x^{40} + 27 x^{38} + 81 x^{36} + 243 x^{34} + 729 x^{32} + 2187 x^{30} + 6561 x^{28} + 19683 x^{26} + 59049 x^{24} + 177147 x^{22} + 531441 x^{20} + 1594323 x^{18} + 4782969 x^{16} + 14348907 x^{14} + 43046721 x^{12} + 129140163 x^{10} + 387420489 x^{8} + 1162261467 x^{6} + 3486784401 x^{4} + 10460353203 x^{2} + 31381059609$ |
$44$ |
[0,22] |
$2^{44}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$69.0910414679$ |
$69.09104146788619$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.911...456.1 |
$x^{44} + 61 x^{40} + 1522 x^{36} + 20041 x^{32} + 150032 x^{28} + 642172 x^{24} + 1506232 x^{20} + 1760035 x^{16} + 860639 x^{12} + 127699 x^{8} + 2926 x^{4} + 1$ |
$44$ |
[0,22] |
$2^{88}\cdot 23^{40}$ |
$2$ |
$69.1822030597$ |
$69.1822030596691$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$8$ |
$21$ |
|
| 44.0.500...601.1 |
$x^{44} - x^{43} + 4 x^{42} - 7 x^{41} + 19 x^{40} - 40 x^{39} + 97 x^{38} - 217 x^{37} + 508 x^{36} - 1159 x^{35} + 2683 x^{34} - 6160 x^{33} + 14209 x^{32} - 32689 x^{31} + 75316 x^{30} - 173383 x^{29} + 399331 x^{28} - 919480 x^{27} + 2117473 x^{26} - 4875913 x^{25} + 11228332 x^{24} - 25856071 x^{23} + 59541067 x^{22} + 77568213 x^{21} + 101054988 x^{20} + 131649651 x^{19} + 171515313 x^{18} + 223433640 x^{17} + 291112299 x^{16} + 379188621 x^{15} + 494148276 x^{14} + 643417587 x^{13} + 839027241 x^{12} + 1091225520 x^{11} + 1425856203 x^{10} + 1847820357 x^{9} + 2429748252 x^{8} + 3113712819 x^{7} + 4175531937 x^{6} + 5165606520 x^{5} + 7360989291 x^{4} + 8135830269 x^{3} + 13947137604 x^{2} + 10460353203 x + 31381059609$ |
$44$ |
[0,22] |
$13^{22}\cdot 23^{42}$ |
$2$ |
$71.9122359457$ |
$71.91223594570167$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.116...625.1 |
$x^{44} - x^{43} + 43 x^{42} - 39 x^{41} + 856 x^{40} - 700 x^{39} + 10478 x^{38} - 7678 x^{37} + 88356 x^{36} - 57644 x^{35} + 545008 x^{34} - 314432 x^{33} + 2548537 x^{32} - 1290809 x^{31} + 9238279 x^{30} - 4075043 x^{29} + 26320891 x^{28} - 10020719 x^{27} + 59401115 x^{26} - 19318239 x^{25} + 106508095 x^{24} - 29235139 x^{23} + 151556799 x^{22} - 34552164 x^{21} + 170215728 x^{20} - 30533255 x^{19} + 148629623 x^{18} - 11758433 x^{17} + 94928616 x^{16} + 36112685 x^{15} + 30135721 x^{14} + 126072207 x^{13} - 23633656 x^{12} + 220881720 x^{11} - 44029406 x^{10} + 233441302 x^{9} - 35764283 x^{8} + 155778230 x^{7} - 8938748 x^{6} + 18093321 x^{5} + 18069001 x^{4} + 120313546 x^{3} - 192566274 x^{2} - 256263936 x + 1026529561$ |
$44$ |
[0,22] |
$3^{22}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$77.2461326792$ |
$77.24613267922518$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.44.116...625.1 |
$x^{44} - x^{43} - 67 x^{42} + 66 x^{41} + 2006 x^{40} - 1940 x^{39} - 35522 x^{38} + 33582 x^{37} + 415391 x^{36} - 381809 x^{35} - 3396482 x^{34} + 3014673 x^{33} + 20088042 x^{32} - 17073369 x^{31} - 87848856 x^{30} + 70775487 x^{29} + 288431096 x^{28} - 217655609 x^{27} - 718686410 x^{26} + 501030801 x^{25} + 1368730205 x^{24} - 867699404 x^{23} - 1999332041 x^{22} + 1131696716 x^{21} + 2238799988 x^{20} - 1107666220 x^{19} - 1911947202 x^{18} + 806431252 x^{17} + 1231950206 x^{16} - 430200535 x^{15} - 588270804 x^{14} + 164470157 x^{13} + 202516659 x^{12} - 43750410 x^{11} - 48240456 x^{10} + 7822102 x^{9} + 7480922 x^{8} - 908640 x^{7} - 688078 x^{6} + 65581 x^{5} + 31906 x^{4} - 2504 x^{3} - 504 x^{2} + 24 x + 1$ |
$44$ |
[44,0] |
$3^{22}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$77.2461326792$ |
$77.24613267922518$ |
|
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
trivial |
$2$ |
$43$ |
$4751041378621857000000000000$ |
| 44.0.116...625.2 |
$x^{44} - x^{43} - 23 x^{42} + 24 x^{41} + 298 x^{40} - 322 x^{39} - 2644 x^{38} + 2966 x^{37} + 17733 x^{36} - 20699 x^{35} - 93680 x^{34} + 114379 x^{33} + 400546 x^{32} - 514925 x^{31} - 1402310 x^{30} + 1917235 x^{29} + 4042594 x^{28} - 5959829 x^{27} - 9550726 x^{26} + 15510555 x^{25} + 18239299 x^{24} - 33749854 x^{23} - 27151731 x^{22} + 60965664 x^{21} + 28718628 x^{20} - 92631926 x^{19} - 11478724 x^{18} + 118848820 x^{17} - 33434940 x^{16} - 1406311 x^{15} - 22927136 x^{14} - 576983889 x^{13} + 635212253 x^{12} + 643308528 x^{11} - 1294716116 x^{10} + 1724346364 x^{9} - 424183664 x^{8} - 3407721010 x^{7} + 3830694322 x^{6} + 209294181 x^{5} - 4039808114 x^{4} + 4041269764 x^{3} - 1473288 x^{2} - 4104644424 x + 4106118241$ |
$44$ |
[0,22] |
$3^{22}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$77.2461326792$ |
$77.24613267922518$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.116...625.3 |
$x^{44} - x^{43} - 3 x^{42} + 7 x^{41} + 5 x^{40} - 33 x^{39} + 13 x^{38} + 119 x^{37} - 171 x^{36} - 305 x^{35} + 989 x^{34} + 231 x^{33} - 4187 x^{32} + 3263 x^{31} + 13485 x^{30} - 26537 x^{29} - 27403 x^{28} + 133551 x^{27} - 23939 x^{26} - 510265 x^{25} + 606021 x^{24} + 1435039 x^{23} - 3859123 x^{22} + 5740156 x^{21} + 9696336 x^{20} - 32656960 x^{19} - 6128384 x^{18} + 136756224 x^{17} - 112242688 x^{16} - 434782208 x^{15} + 883752960 x^{14} + 855375872 x^{13} - 4390387712 x^{12} + 968884224 x^{11} + 16592666624 x^{10} - 20468203520 x^{9} - 45902462976 x^{8} + 127775277056 x^{7} + 55834574848 x^{6} - 566935683072 x^{5} + 343597383680 x^{4} + 1924145348608 x^{3} - 3298534883328 x^{2} - 4398046511104 x + 17592186044416$ |
$44$ |
[0,22] |
$3^{22}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$77.2461326792$ |
$77.24613267922518$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.123...000.1 |
$x^{44} + 63 x^{42} + 1771 x^{40} + 29412 x^{38} + 322363 x^{36} + 2470134 x^{34} + 13694893 x^{32} + 56167749 x^{30} + 172989335 x^{28} + 404160705 x^{26} + 720751936 x^{24} + 983588334 x^{22} + 1025844301 x^{20} + 813203334 x^{18} + 484862836 x^{16} + 213849639 x^{14} + 68058536 x^{12} + 15071199 x^{10} + 2201056 x^{8} + 195624 x^{6} + 9361 x^{4} + 198 x^{2} + 1$ |
$44$ |
[0,22] |
$2^{44}\cdot 5^{22}\cdot 23^{40}$ |
$3$ |
$77.3480544373$ |
$77.34805443730704$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$4$ |
$21$ |
|
| 44.0.361...241.1 |
$x^{44} - x^{43} - 31 x^{42} + 18 x^{41} + 509 x^{40} - 128 x^{39} - 6323 x^{38} + 711 x^{37} + 64913 x^{36} - 2855 x^{35} - 548822 x^{34} - 30450 x^{33} + 3909507 x^{32} + 497028 x^{31} - 24053724 x^{30} - 3501489 x^{29} + 127000724 x^{28} + 22049413 x^{27} - 570173510 x^{26} - 120800376 x^{25} + 2191193723 x^{24} + 441547756 x^{23} - 7154579015 x^{22} - 1235011630 x^{21} + 19357719068 x^{20} + 3692553824 x^{19} - 42800540592 x^{18} - 8560769600 x^{17} + 77181753152 x^{16} + 8780862080 x^{15} - 109191557376 x^{14} - 4336701952 x^{13} + 115169783808 x^{12} + 13857435648 x^{11} - 86371995648 x^{10} - 18961448960 x^{9} + 47011856384 x^{8} + 1711374336 x^{7} - 14905901056 x^{6} + 3448373248 x^{5} + 3020947456 x^{4} - 373293056 x^{3} - 84934656 x^{2} - 12582912 x + 4194304$ |
$44$ |
[0,22] |
$3^{22}\cdot 7^{22}\cdot 23^{40}$ |
$3$ |
$79.2581705662$ |
$79.2581705661848$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.482...224.1 |
$x^{44} + 44 x^{42} + 901 x^{40} + 11400 x^{38} + 99790 x^{36} + 641208 x^{34} + 3131721 x^{32} + 11878176 x^{30} + 35442612 x^{28} + 83778736 x^{26} + 157236844 x^{24} + 233880352 x^{22} + 274130056 x^{20} + 250699168 x^{18} + 176290339 x^{16} + 93382192 x^{14} + 36217051 x^{12} + 9883588 x^{10} + 1792219 x^{8} + 197912 x^{6} + 11506 x^{4} + 264 x^{2} + 1$ |
$44$ |
[0,22] |
$2^{88}\cdot 23^{42}$ |
$2$ |
$79.7794627802$ |
$79.77946278015138$ |
✓ |
✓ |
✓ |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.44.482...224.1 |
$x^{44} - 44 x^{42} + 901 x^{40} - 11400 x^{38} + 99790 x^{36} - 641208 x^{34} + 3131721 x^{32} - 11878176 x^{30} + 35442612 x^{28} - 83778736 x^{26} + 157236844 x^{24} - 233880352 x^{22} + 274130056 x^{20} - 250699168 x^{18} + 176290339 x^{16} - 93382192 x^{14} + 36217051 x^{12} - 9883588 x^{10} + 1792219 x^{8} - 197912 x^{6} + 11506 x^{4} - 264 x^{2} + 1$ |
$44$ |
[44,0] |
$2^{88}\cdot 23^{42}$ |
$2$ |
$79.7794627802$ |
$79.77946278015138$ |
|
✓ |
✓ |
$C_2\times C_{22}$ (as 44T2) |
trivial |
$2$ |
$43$ |
$8626989567142591000000000000$ |
| 44.0.482...224.2 |
$x^{44} + 69 x^{40} + 1978 x^{36} + 30521 x^{32} + 274712 x^{28} + 1463260 x^{24} + 4481688 x^{20} + 7339875 x^{16} + 5623799 x^{12} + 1588587 x^{8} + 104742 x^{4} + 529$ |
$44$ |
[0,22] |
$2^{88}\cdot 23^{42}$ |
$2$ |
$79.7794627802$ |
$79.77946278015138$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$4$ |
$21$ |
|
| 44.0.182...881.1 |
$x^{44} - x^{43} + 5 x^{42} - 9 x^{41} + 29 x^{40} - 65 x^{39} + 181 x^{38} - 441 x^{37} + 1165 x^{36} - 2929 x^{35} + 7589 x^{34} - 19305 x^{33} + 49661 x^{32} - 126881 x^{31} + 325525 x^{30} - 833049 x^{29} + 2135149 x^{28} - 5467345 x^{27} + 14007941 x^{26} - 35877321 x^{25} + 91909085 x^{24} - 235418369 x^{23} + 603054709 x^{22} + 941673476 x^{21} + 1470545360 x^{20} + 2296148544 x^{19} + 3586032896 x^{18} + 5598561280 x^{17} + 8745570304 x^{16} + 13648674816 x^{15} + 21333606400 x^{14} + 33261092864 x^{13} + 52073332736 x^{12} + 80971038720 x^{11} + 127322292224 x^{10} + 196561862656 x^{9} + 312727306240 x^{8} + 473520144384 x^{7} + 777389080576 x^{6} + 1116691496960 x^{5} + 1992864825344 x^{4} + 2473901162496 x^{3} + 5497558138880 x^{2} + 4398046511104 x + 17592186044416$ |
$44$ |
[0,22] |
$17^{22}\cdot 23^{42}$ |
$2$ |
$82.2347879494$ |
$82.23478794939922$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.681...976.1 |
$x^{44} - 42 x^{42} + 1004 x^{40} - 16416 x^{38} + 203056 x^{36} - 1976896 x^{34} + 15592256 x^{32} - 100902784 x^{30} + 540972800 x^{28} - 2406430208 x^{26} + 8885665792 x^{24} - 27062865920 x^{22} + 67552104448 x^{20} - 136133230592 x^{18} + 218558169088 x^{16} - 271461023744 x^{14} + 255644925952 x^{12} - 171145035776 x^{10} + 80371253248 x^{8} - 21592276992 x^{6} + 3817865216 x^{4} - 138412032 x^{2} + 4194304$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{40}$ |
$3$ |
$84.7305483889$ |
$84.73054838890124$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.681...976.2 |
$x^{44} + 42 x^{42} + 1004 x^{40} + 16416 x^{38} + 203056 x^{36} + 1976896 x^{34} + 15592256 x^{32} + 100902784 x^{30} + 540972800 x^{28} + 2406430208 x^{26} + 8885665792 x^{24} + 27062865920 x^{22} + 67552104448 x^{20} + 136133230592 x^{18} + 218558169088 x^{16} + 271461023744 x^{14} + 255644925952 x^{12} + 171145035776 x^{10} + 80371253248 x^{8} + 21592276992 x^{6} + 3817865216 x^{4} + 138412032 x^{2} + 4194304$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{40}$ |
$3$ |
$84.7305483889$ |
$84.73054838890124$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.211...969.1 |
$x^{44} - x^{43} - 4 x^{42} + 9 x^{41} + 11 x^{40} - 56 x^{39} + x^{38} + 279 x^{37} - 284 x^{36} - 1111 x^{35} + 2531 x^{34} + 3024 x^{33} - 15679 x^{32} + 559 x^{31} + 77836 x^{30} - 80631 x^{29} - 308549 x^{28} + 711704 x^{27} + 831041 x^{26} - 4389561 x^{25} + 234356 x^{24} + 21713449 x^{23} - 22885229 x^{22} + 108567245 x^{21} + 5858900 x^{20} - 548695125 x^{19} + 519400625 x^{18} + 2224075000 x^{17} - 4821078125 x^{16} - 6299296875 x^{15} + 30404687500 x^{14} + 1091796875 x^{13} - 153115234375 x^{12} + 147656250000 x^{11} + 617919921875 x^{10} - 1356201171875 x^{9} - 1733398437500 x^{8} + 8514404296875 x^{7} + 152587890625 x^{6} - 42724609375000 x^{5} + 41961669921875 x^{4} + 171661376953125 x^{3} - 381469726562500 x^{2} - 476837158203125 x + 2384185791015625$ |
$44$ |
[0,22] |
$19^{22}\cdot 23^{42}$ |
$2$ |
$86.9376540072$ |
$86.93765400716107$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.44.653...000.1 |
$x^{44} - 69 x^{42} + 2139 x^{40} - 39468 x^{38} + 484495 x^{36} - 4193682 x^{34} + 26499197 x^{32} - 125010267 x^{30} + 447055439 x^{28} - 1224773115 x^{26} + 2588447416 x^{24} - 4235761650 x^{22} + 5369828745 x^{20} - 5258413410 x^{18} + 3950328660 x^{16} - 2250421545 x^{14} + 955257620 x^{12} - 294507525 x^{10} + 63543480 x^{8} - 9077640 x^{6} + 785565 x^{4} - 34914 x^{2} + 529$ |
$44$ |
[44,0] |
$2^{44}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$89.1961509924$ |
$89.19615099241642$ |
|
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
trivial |
$2$ |
$43$ |
$90452671457773850000000000000$ |
| 44.0.653...000.1 |
$x^{44} + 41 x^{42} + 784 x^{40} + 9282 x^{38} + 76180 x^{36} + 459888 x^{34} + 2114697 x^{32} + 7568133 x^{30} + 21358299 x^{28} + 47872465 x^{26} + 85431991 x^{24} + 121194085 x^{22} + 135920335 x^{20} + 119357605 x^{18} + 80900650 x^{16} + 41459620 x^{14} + 15683335 x^{12} + 3901015 x^{10} + 2054320 x^{8} - 6489250 x^{6} + 32853580 x^{4} - 164244624 x^{2} + 821223649$ |
$44$ |
[0,22] |
$2^{44}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$89.1961509924$ |
$89.19615099241642$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.0.653...000.2 |
$x^{44} - 47 x^{42} + 1036 x^{40} - 14238 x^{38} + 136828 x^{36} - 977616 x^{34} + 5391753 x^{32} - 23533371 x^{30} + 82732335 x^{28} - 237396295 x^{26} + 562190611 x^{24} - 1110544651 x^{22} + 1852435411 x^{20} - 2651394691 x^{18} + 3329083366 x^{16} - 3775046236 x^{14} + 3998027671 x^{12} - 4080345361 x^{10} + 4101904756 x^{8} - 4105687106 x^{6} + 4106094436 x^{4} - 4106117712 x^{2} + 4106118241$ |
$44$ |
[0,22] |
$2^{44}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$89.1961509924$ |
$89.19615099241642$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$4$ |
$21$ |
|
| 44.0.653...000.3 |
$x^{44} - 5 x^{42} + 25 x^{40} - 125 x^{38} + 625 x^{36} - 3125 x^{34} + 15625 x^{32} - 78125 x^{30} + 390625 x^{28} - 1953125 x^{26} + 9765625 x^{24} - 48828125 x^{22} + 244140625 x^{20} - 1220703125 x^{18} + 6103515625 x^{16} - 30517578125 x^{14} + 152587890625 x^{12} - 762939453125 x^{10} + 3814697265625 x^{8} - 19073486328125 x^{6} + 95367431640625 x^{4} - 476837158203125 x^{2} + 2384185791015625$ |
$44$ |
[0,22] |
$2^{44}\cdot 5^{22}\cdot 23^{42}$ |
$3$ |
$89.1961509924$ |
$89.19615099241642$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.191...489.1 |
$x^{44} - x^{43} + 46 x^{42} - 45 x^{41} + 1195 x^{40} - 1150 x^{39} + 21299 x^{38} - 20149 x^{37} + 287730 x^{36} - 267581 x^{35} + 3072523 x^{34} - 2804942 x^{33} + 26692099 x^{32} - 23887157 x^{31} + 191331250 x^{30} - 167444093 x^{29} + 1142837707 x^{28} - 975393614 x^{27} + 5704151939 x^{26} - 4728758325 x^{25} + 23804513458 x^{24} - 19075755133 x^{23} + 82643603403 x^{22} - 63567853467 x^{21} + 237057619920 x^{20} - 173490244577 x^{19} + 554044068881 x^{18} - 380558605544 x^{17} + 1037868132567 x^{16} - 657255020887 x^{15} + 1512341393536 x^{14} - 854306074281 x^{13} + 1655465958953 x^{12} - 799339188480 x^{11} + 1266628178647 x^{10} - 472858178519 x^{9} + 634019315968 x^{8} - 183040091689 x^{7} + 183593805097 x^{6} - 13681085952 x^{5} + 19238856919 x^{4} + 3193810729 x^{3} + 1973987328 x^{2} + 217790679 x + 27008809$ |
$44$ |
[0,22] |
$3^{22}\cdot 7^{22}\cdot 23^{42}$ |
$3$ |
$91.3988567732$ |
$91.39885677323893$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.44.191...489.1 |
$x^{44} - x^{43} - 86 x^{42} + 81 x^{41} + 3445 x^{40} - 3040 x^{39} - 85351 x^{38} + 70151 x^{37} + 1464534 x^{36} - 1113779 x^{35} - 18468767 x^{34} + 12899872 x^{33} + 177261061 x^{32} - 112761701 x^{31} - 1323060098 x^{30} + 759251593 x^{29} + 7780382701 x^{28} - 3984124736 x^{27} - 36301909279 x^{26} + 16381285599 x^{25} + 134698547590 x^{24} - 52792119595 x^{23} - 396744216375 x^{22} + 132783613203 x^{21} + 922279857882 x^{20} - 258361552805 x^{19} - 1675313579545 x^{18} + 383501034280 x^{17} + 2343182319195 x^{16} - 425622641659 x^{15} - 2471777086526 x^{14} + 343273729047 x^{13} + 1911152162483 x^{12} - 192962821056 x^{11} - 1040820630209 x^{10} + 70437336577 x^{9} + 377125555258 x^{8} - 13999395253 x^{7} - 83413545257 x^{6} + 289196448 x^{5} + 9759539347 x^{4} + 438024589 x^{3} - 453637806 x^{2} - 49033617 x - 368597$ |
$44$ |
[44,0] |
$3^{22}\cdot 7^{22}\cdot 23^{42}$ |
$3$ |
$91.3988567732$ |
$91.39885677323893$ |
|
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$43$ |
|
| 44.0.191...489.2 |
$x^{44} - 20 x^{43} + 189 x^{42} - 1124 x^{41} + 4865 x^{40} - 17456 x^{39} + 58421 x^{38} - 190050 x^{37} + 582353 x^{36} - 1651670 x^{35} + 4443991 x^{34} - 11616036 x^{33} + 29347307 x^{32} - 70941366 x^{31} + 165084544 x^{30} - 373261630 x^{29} + 819539932 x^{28} - 1741244694 x^{27} + 3587123034 x^{26} - 7185027240 x^{25} + 13992949317 x^{24} - 26465017896 x^{23} + 48644839484 x^{22} - 86902148486 x^{21} + 150906753803 x^{20} - 254398639764 x^{19} + 416538699753 x^{18} - 661207715179 x^{17} + 1018298320297 x^{16} - 1516385399452 x^{15} + 2187310150678 x^{14} - 3038199352295 x^{13} + 4080627086016 x^{12} - 5240849624589 x^{11} + 6499724444701 x^{10} - 7615237158361 x^{9} + 8625505710097 x^{8} - 9008819848319 x^{7} + 9179431123587 x^{6} - 8198182177669 x^{5} + 7374297175226 x^{4} - 5145387322896 x^{3} + 3993217874024 x^{2} - 1687064084492 x + 1104623059513$ |
$44$ |
[0,22] |
$3^{22}\cdot 7^{22}\cdot 23^{42}$ |
$3$ |
$91.3988567732$ |
$91.39885677323893$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.0.191...489.3 |
$x^{44} - x^{43} + 6 x^{42} - 11 x^{41} + 41 x^{40} - 96 x^{39} + 301 x^{38} - 781 x^{37} + 2286 x^{36} - 6191 x^{35} + 17621 x^{34} - 48576 x^{33} + 136681 x^{32} - 379561 x^{31} + 1062966 x^{30} - 2960771 x^{29} + 8275601 x^{28} - 23079456 x^{27} + 64457461 x^{26} - 179854741 x^{25} + 502142046 x^{24} - 1401415751 x^{23} + 3912125981 x^{22} + 7007078755 x^{21} + 12553551150 x^{20} + 22481842625 x^{19} + 40285913125 x^{18} + 72123300000 x^{17} + 129306265625 x^{16} + 231310234375 x^{15} + 415221093750 x^{14} + 741330078125 x^{13} + 1334775390625 x^{12} + 2371875000000 x^{11} + 4302001953125 x^{10} + 7557373046875 x^{9} + 13952636718750 x^{8} + 23834228515625 x^{7} + 45928955078125 x^{6} + 73242187500000 x^{5} + 156402587890625 x^{4} + 209808349609375 x^{3} + 572204589843750 x^{2} + 476837158203125 x + 2384185791015625$ |
$44$ |
[0,22] |
$3^{22}\cdot 7^{22}\cdot 23^{42}$ |
$3$ |
$91.3988567732$ |
$91.39885677323893$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.202...984.1 |
$x^{44} - 63 x^{42} + 1954 x^{40} - 39159 x^{38} + 564136 x^{36} - 6171204 x^{34} + 52905976 x^{32} - 362220741 x^{30} + 2002105655 x^{28} - 8980281297 x^{26} + 32710198942 x^{24} - 96439370415 x^{22} + 228524812948 x^{20} - 430395212448 x^{18} + 634098522688 x^{16} - 714985491456 x^{14} + 598979244032 x^{12} - 357650202624 x^{10} + 143735308288 x^{8} - 35340484608 x^{6} + 4755030016 x^{4} - 207618048 x^{2} + 4194304$ |
$44$ |
[0,22] |
$2^{44}\cdot 7^{22}\cdot 23^{40}$ |
$3$ |
$91.5194522237$ |
$91.51945222372814$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$4$ |
$21$ |
|
| 44.0.155...001.1 |
$x^{44} - x^{43} - x^{42} - 82 x^{41} + 77 x^{40} + 73 x^{39} + 2795 x^{38} - 2452 x^{37} - 2193 x^{36} - 51847 x^{35} + 42213 x^{34} + 35713 x^{33} + 576416 x^{32} - 432884 x^{31} - 345487 x^{30} - 3995639 x^{29} + 2790104 x^{28} + 2010938 x^{27} + 17436469 x^{26} - 11948291 x^{25} - 6590980 x^{24} - 47156450 x^{23} + 36319435 x^{22} + 9637447 x^{21} + 76421426 x^{20} - 81395780 x^{19} + 4175237 x^{18} - 78460015 x^{17} + 124870243 x^{16} - 45435254 x^{15} + 82436729 x^{14} - 106904257 x^{13} + 95684734 x^{12} - 78566744 x^{11} + 62868338 x^{10} - 89632848 x^{9} + 65796469 x^{8} - 36457247 x^{7} + 9020998 x^{6} - 24902176 x^{5} + 25739321 x^{4} + 13163316 x^{3} - 5336842 x^{2} + 199578 x + 1151329$ |
$44$ |
[0,22] |
$3^{22}\cdot 67^{42}$ |
$2$ |
$95.8588092539$ |
$95.85880925393877$ |
✓ |
✓ |
|
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.44.360...304.1 |
$x^{44} - 2 x^{43} - 87 x^{42} + 172 x^{41} + 3410 x^{40} - 6648 x^{39} - 79618 x^{38} + 152588 x^{37} + 1234084 x^{36} - 2315580 x^{35} - 13401948 x^{34} + 24488316 x^{33} + 104961853 x^{32} - 185435390 x^{31} - 601731627 x^{30} + 1018027864 x^{29} + 2540304305 x^{28} - 4062580746 x^{27} - 7896434331 x^{26} + 11730287916 x^{25} + 17992771017 x^{24} - 24255254118 x^{23} - 29825624347 x^{22} + 35395994578 x^{21} + 35614277321 x^{20} - 35832559098 x^{19} - 30276336483 x^{18} + 24720165848 x^{17} + 18072790000 x^{16} - 11424745542 x^{15} - 7446590576 x^{14} + 3470584546 x^{13} + 2072020799 x^{12} - 673172404 x^{11} - 377053085 x^{10} + 79340694 x^{9} + 42583622 x^{8} - 5241200 x^{7} - 2726550 x^{6} + 177538 x^{5} + 84232 x^{4} - 3668 x^{3} - 984 x^{2} + 48 x + 1$ |
$44$ |
[44,0] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
|
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$43$ |
|
| 44.0.360...304.1 |
$x^{44} + 86 x^{42} + 3440 x^{40} + 84976 x^{38} + 1451584 x^{36} + 18195712 x^{34} + 173330496 x^{32} + 1282144128 x^{30} + 7462070016 x^{28} + 34415527424 x^{26} + 126096215040 x^{24} + 366451783680 x^{22} + 840073850880 x^{20} + 1504631316480 x^{18} + 2075463352320 x^{16} + 2160531210240 x^{14} + 1650124062720 x^{12} + 888799887360 x^{10} + 318866718720 x^{8} + 69840404480 x^{6} + 8074035200 x^{4} + 369098752 x^{2} + 4194304$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.0.360...304.2 |
$x^{44} - 46 x^{42} + 1196 x^{40} - 21344 x^{38} + 288880 x^{36} - 3092672 x^{34} + 26959680 x^{32} - 194136192 x^{30} + 1166724864 x^{28} - 5871596032 x^{26} + 24779907072 x^{24} - 87372361728 x^{22} + 256133369856 x^{20} - 617611444224 x^{18} + 1211353595904 x^{16} - 1892954505216 x^{14} + 2313501278208 x^{12} - 2122754949120 x^{10} + 1427789316096 x^{8} - 634573029376 x^{6} + 189151576064 x^{4} - 24406654976 x^{2} + 2218786816$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.44.360...304.2 |
$x^{44} - 86 x^{42} + 3440 x^{40} - 84976 x^{38} + 1451584 x^{36} - 18195712 x^{34} + 173330496 x^{32} - 1282144128 x^{30} + 7462070016 x^{28} - 34415527424 x^{26} + 126096215040 x^{24} - 366451783680 x^{22} + 840073850880 x^{20} - 1504631316480 x^{18} + 2075463352320 x^{16} - 2160531210240 x^{14} + 1650124062720 x^{12} - 888799887360 x^{10} + 318866718720 x^{8} - 69840404480 x^{6} + 8074035200 x^{4} - 369098752 x^{2} + 4194304$ |
$44$ |
[44,0] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
|
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$43$ |
|
| 44.0.360...304.3 |
$x^{44} + 46 x^{42} + 1196 x^{40} + 21344 x^{38} + 288880 x^{36} + 3092672 x^{34} + 26959680 x^{32} + 194136192 x^{30} + 1166724864 x^{28} + 5871596032 x^{26} + 24779907072 x^{24} + 87372361728 x^{22} + 256133369856 x^{20} + 617611444224 x^{18} + 1211353595904 x^{16} + 1892954505216 x^{14} + 2313501278208 x^{12} + 2122754949120 x^{10} + 1427789316096 x^{8} + 634573029376 x^{6} + 189151576064 x^{4} + 24406654976 x^{2} + 2218786816$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.360...304.4 |
$x^{44} - 2 x^{43} + x^{42} + 4 x^{41} + 150 x^{40} - 312 x^{39} + 542 x^{38} - 148 x^{37} + 10492 x^{36} - 20540 x^{35} + 59284 x^{34} - 56948 x^{33} + 509181 x^{32} - 847518 x^{31} + 3165221 x^{30} - 3787888 x^{29} + 19028237 x^{28} - 26692810 x^{27} + 105670141 x^{26} - 131261852 x^{25} + 525362877 x^{24} - 656940198 x^{23} + 2435275925 x^{22} - 2899731254 x^{21} + 10236234869 x^{20} - 11773277034 x^{19} + 39267998773 x^{18} - 43216075824 x^{17} + 136381343684 x^{16} - 143117336230 x^{15} + 425588997760 x^{14} - 421782473222 x^{13} + 1177823357679 x^{12} - 1090649084292 x^{11} + 2847578340843 x^{10} - 2421646596474 x^{9} + 5860415317602 x^{8} - 4459787108112 x^{7} + 9896004307466 x^{6} - 6407408568958 x^{5} + 12768663644816 x^{4} - 6318592552612 x^{3} + 11065288394632 x^{2} - 3173834791936 x + 4760716702561$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.0.360...304.5 |
$x^{44} - 6 x^{42} + 36 x^{40} - 216 x^{38} + 1296 x^{36} - 7776 x^{34} + 46656 x^{32} - 279936 x^{30} + 1679616 x^{28} - 10077696 x^{26} + 60466176 x^{24} - 362797056 x^{22} + 2176782336 x^{20} - 13060694016 x^{18} + 78364164096 x^{16} - 470184984576 x^{14} + 2821109907456 x^{12} - 16926659444736 x^{10} + 101559956668416 x^{8} - 609359740010496 x^{6} + 3656158440062976 x^{4} - 21936950640377856 x^{2} + 131621703842267136$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.360...304.6 |
$x^{44} + 6 x^{42} + 36 x^{40} + 216 x^{38} + 1296 x^{36} + 7776 x^{34} + 46656 x^{32} + 279936 x^{30} + 1679616 x^{28} + 10077696 x^{26} + 60466176 x^{24} + 362797056 x^{22} + 2176782336 x^{20} + 13060694016 x^{18} + 78364164096 x^{16} + 470184984576 x^{14} + 2821109907456 x^{12} + 16926659444736 x^{10} + 101559956668416 x^{8} + 609359740010496 x^{6} + 3656158440062976 x^{4} + 21936950640377856 x^{2} + 131621703842267136$ |
$44$ |
[0,22] |
$2^{66}\cdot 3^{22}\cdot 23^{42}$ |
$3$ |
$97.7094878824$ |
$97.70948788236656$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$46$ |
$21$ |
|
| 44.0.752...089.1 |
$x^{44} - 9 x^{43} + 33 x^{42} - 66 x^{41} + 2 x^{40} + 884 x^{39} - 4067 x^{38} + 7960 x^{37} - 2091 x^{36} - 47258 x^{35} + 212106 x^{34} - 427068 x^{33} + 133877 x^{32} + 1843648 x^{31} - 6680727 x^{30} + 10975823 x^{29} - 2649652 x^{28} - 37098530 x^{27} + 132867064 x^{26} - 202667541 x^{25} - 31904797 x^{24} + 627530533 x^{23} - 1219296961 x^{22} + 1412285927 x^{21} - 1258501995 x^{20} - 2303360196 x^{19} + 17718449147 x^{18} - 18665466288 x^{17} - 46726330588 x^{16} + 59767659925 x^{15} + 202028476421 x^{14} - 221058504493 x^{13} - 1112134221209 x^{12} + 1458840167506 x^{11} + 4640342670082 x^{10} - 8586207965224 x^{9} - 13790122056591 x^{8} + 39975680532019 x^{7} + 18939616928510 x^{6} - 127628752102549 x^{5} + 36710422652936 x^{4} + 238788144466104 x^{3} - 193566148186513 x^{2} - 195321643693679 x + 235762850594041$ |
$44$ |
[0,22] |
$3^{22}\cdot 11^{22}\cdot 23^{40}$ |
$3$ |
$99.3553748754$ |
$99.35537487544602$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$6$ |
$21$ |
|
| 44.0.274...625.1 |
$x^{44} - 20 x^{43} + 171 x^{42} - 772 x^{41} + 1736 x^{40} - 982 x^{39} + 1882 x^{38} - 54351 x^{37} + 304481 x^{36} - 907985 x^{35} + 1919248 x^{34} - 4350751 x^{33} + 14189632 x^{32} - 49620116 x^{31} + 153334824 x^{30} - 425321046 x^{29} + 1116341180 x^{28} - 2860120792 x^{27} + 7240327802 x^{26} - 18112671782 x^{25} + 44521369741 x^{24} - 106517962746 x^{23} + 246586127268 x^{22} - 550154492220 x^{21} + 1181835533276 x^{20} - 2438900969514 x^{19} + 4828014476587 x^{18} - 9135329073638 x^{17} + 16485373921739 x^{16} - 28256053714606 x^{15} + 45909598954297 x^{14} - 70412496170814 x^{13} + 101797257992790 x^{12} - 138061365392372 x^{11} + 175469601338595 x^{10} - 207567082859903 x^{9} + 228338407371013 x^{8} - 230913746500775 x^{7} + 214641548152397 x^{6} - 179258210832874 x^{5} + 134953083634583 x^{4} - 86705627971197 x^{3} + 48485947343204 x^{2} - 19579250790709 x + 6447764911459$ |
$44$ |
[0,22] |
$5^{22}\cdot 7^{22}\cdot 23^{40}$ |
$3$ |
$102.321858218$ |
$102.3218582179002$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$21$ |
|
| 44.44.107...536.1 |
$x^{44} - 85 x^{42} + 3361 x^{40} - 82089 x^{38} + 1386817 x^{36} - 17197497 x^{34} + 162122289 x^{32} - 1187271081 x^{30} + 6844037217 x^{28} - 31279687001 x^{26} + 113631570577 x^{24} - 327608079881 x^{22} + 745527993793 x^{20} - 1326378465209 x^{18} + 1818601994737 x^{16} - 1883097361001 x^{14} + 1431629797153 x^{12} - 768135683609 x^{10} + 274716257617 x^{8} - 60026913481 x^{6} + 6928067713 x^{4} - 316835961 x^{2} + 935089$ |
$44$ |
[44,0] |
$2^{44}\cdot 7^{22}\cdot 23^{42}$ |
$3$ |
$105.538309123$ |
$105.5383091233071$ |
|
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$2$ |
$43$ |
|
| 44.0.107...536.1 |
$x^{44} + 91 x^{42} + 3865 x^{40} + 101751 x^{38} + 1859689 x^{36} + 25045527 x^{34} + 257459241 x^{32} + 2064667863 x^{30} + 13090266921 x^{28} + 66097680599 x^{26} + 266491698985 x^{24} + 856537374935 x^{22} + 2182247178025 x^{20} + 4362827243735 x^{18} + 6740424007465 x^{16} + 7872887316695 x^{14} + 6740424007465 x^{12} + 4049120256215 x^{10} + 1602545786665 x^{8} + 380494930135 x^{6} + 46621531945 x^{4} + 2191778007 x^{2} + 27008809$ |
$44$ |
[0,22] |
$2^{44}\cdot 7^{22}\cdot 23^{42}$ |
$3$ |
$105.538309123$ |
$105.5383091233071$ |
✓ |
✓ |
? |
$C_2\times C_{22}$ (as 44T2) |
not computed |
$4$ |
$21$ |
|
