| 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 |
| 36.0.771...893.1 |
$x^{36} - x^{35} + x^{34} - x^{33} + x^{32} - x^{31} + x^{30} - x^{29} + x^{28} - x^{27} + x^{26} - x^{25} + x^{24} - x^{23} + x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ |
$36$ |
[0,18] |
$37^{35}$ |
$1$ |
$33.468832656$ |
$33.46883265603228$ |
✓ |
✓ |
✓ |
$C_{36}$ (as 36T1) |
$[37]$ |
$74$ |
$17$ |
$3171872728760.222$ |
| 36.0.619...125.1 |
$x^{36} - x^{35} + 9 x^{34} - 10 x^{33} + 54 x^{32} - 49 x^{31} + 257 x^{30} - 206 x^{29} + 1100 x^{28} - 836 x^{27} + 3655 x^{26} - 2571 x^{25} + 10339 x^{24} - 5625 x^{23} + 24829 x^{22} - 12149 x^{21} + 52298 x^{20} - 24437 x^{19} + 84375 x^{18} - 31001 x^{17} + 114806 x^{16} - 20386 x^{15} + 122457 x^{14} - 26351 x^{13} + 111183 x^{12} - 31899 x^{11} + 59771 x^{10} - 9196 x^{9} + 26744 x^{8} + 4893 x^{7} + 5542 x^{6} + 509 x^{5} + 1260 x^{4} - 205 x^{3} + 35 x^{2} - 5 x + 1$ |
$36$ |
[0,18] |
$5^{27}\cdot 19^{32}$ |
$2$ |
$45.803363483$ |
$45.80336348303902$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
$[1417]$ |
$10$ |
$17$ |
$3431432369157.3267$ |
| 36.0.722...125.1 |
$x^{36} + 9 x^{34} + 54 x^{32} + 273 x^{30} + 1260 x^{28} - x^{27} + 4374 x^{26} - 18 x^{25} + 13050 x^{24} - 189 x^{23} + 34695 x^{22} - 153 x^{21} + 79785 x^{20} + 1935 x^{19} + 133435 x^{18} + 11664 x^{17} + 197460 x^{16} + 36792 x^{15} + 255879 x^{14} + 40932 x^{13} + 256629 x^{12} + 26649 x^{11} + 121878 x^{10} + 26 x^{9} + 55485 x^{8} - 19917 x^{7} + 22041 x^{6} - 4752 x^{5} + 6021 x^{4} - 699 x^{3} + 81 x^{2} - 9 x + 1$ |
$36$ |
[0,18] |
$3^{88}\cdot 5^{27}$ |
$2$ |
$49.0370012138$ |
$49.037001213832596$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
$[2053]$ |
$10$ |
$17$ |
$6550249244897.024$ |
| 36.36.650...125.1 |
$x^{36} - 36 x^{34} + 594 x^{32} - 5952 x^{30} + 40455 x^{28} - x^{27} - 197316 x^{26} + 27 x^{25} + 712530 x^{24} - 324 x^{23} - 1937520 x^{22} + 2277 x^{21} + 3996135 x^{20} - 10395 x^{19} - 6249100 x^{18} + 32319 x^{17} + 7354710 x^{16} - 69768 x^{15} - 6418656 x^{14} + 104652 x^{13} + 4056234 x^{12} - 107406 x^{11} - 1790712 x^{10} + 72931 x^{9} + 523260 x^{8} - 30897 x^{7} - 93024 x^{6} + 7398 x^{5} + 8721 x^{4} - 849 x^{3} - 324 x^{2} + 36 x + 1$ |
$36$ |
[36,0] |
$3^{90}\cdot 5^{27}$ |
$2$ |
$52.123148338$ |
$52.123148337972104$ |
|
✓ |
✓ |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$31157843880432600000$ |
| 36.36.223...125.1 |
$x^{36} - x^{35} - 36 x^{34} + 35 x^{33} + 594 x^{32} - 559 x^{31} - 5953 x^{30} + 5394 x^{29} + 40485 x^{28} - 35091 x^{27} - 197720 x^{26} + 162629 x^{25} + 715754 x^{24} - 553125 x^{23} - 1954471 x^{22} + 1401346 x^{21} + 4057888 x^{20} - 2656542 x^{19} - 6408680 x^{18} + 3752139 x^{17} + 7649116 x^{16} - 3896996 x^{15} - 6803518 x^{14} + 2906674 x^{13} + 4404908 x^{12} - 1498899 x^{11} - 2000649 x^{10} + 503479 x^{9} + 601194 x^{8} - 100432 x^{7} - 108458 x^{6} + 10534 x^{5} + 9885 x^{4} - 605 x^{3} - 340 x^{2} + 20 x + 1$ |
$36$ |
[36,0] |
$5^{27}\cdot 19^{34}$ |
$2$ |
$53.94351444$ |
$53.94351443998041$ |
|
✓ |
✓ |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$58714175232406490000$ |
| 36.36.298...677.1 |
$x^{36} - x^{35} - 36 x^{34} + 36 x^{33} + 593 x^{32} - 593 x^{31} - 5919 x^{30} + 5919 x^{29} + 39961 x^{28} - 39961 x^{27} - 192880 x^{26} + 192880 x^{25} + 685907 x^{24} - 685907 x^{23} - 1824913 x^{22} + 1824913 x^{21} + 3651272 x^{20} - 3651272 x^{19} - 5475703 x^{18} + 5475703 x^{17} + 6085132 x^{16} - 6085132 x^{15} - 4909788 x^{14} + 4909788 x^{13} + 2786656 x^{12} - 2786656 x^{11} - 1061566 x^{10} + 1061566 x^{9} + 253044 x^{8} - 253044 x^{7} - 33780 x^{6} + 33780 x^{5} + 2073 x^{4} - 2073 x^{3} - 36 x^{2} + 36 x + 1$ |
$36$ |
[36,0] |
$3^{18}\cdot 37^{35}$ |
$2$ |
$57.9697186303$ |
$57.969718630268325$ |
|
✓ |
✓ |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$181157165602858830000$ |
| 36.36.164...257.1 |
$x^{36} - x^{35} - 35 x^{34} + 34 x^{33} + 561 x^{32} - 528 x^{31} - 5456 x^{30} + 4960 x^{29} + 35960 x^{28} - 31465 x^{27} - 169911 x^{26} + 142506 x^{25} + 593775 x^{24} - 475020 x^{23} - 1560780 x^{22} + 1184040 x^{21} + 3108105 x^{20} - 2220075 x^{19} - 4686825 x^{18} + 3124550 x^{17} + 5311735 x^{16} - 3268760 x^{15} - 4457400 x^{14} + 2496144 x^{13} + 2704156 x^{12} - 1352078 x^{11} - 1144066 x^{10} + 497420 x^{9} + 319770 x^{8} - 116280 x^{7} - 54264 x^{6} + 15504 x^{5} + 4845 x^{4} - 969 x^{3} - 171 x^{2} + 18 x + 1$ |
$36$ |
[36,0] |
$73^{35}$ |
$1$ |
$64.798341716$ |
$64.79834171595418$ |
|
✓ |
✓ |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$1217682649213958000000$ |
| 36.36.529...248.1 |
$x^{36} - 37 x^{34} + 629 x^{32} - 6512 x^{30} + 45880 x^{28} - 232841 x^{26} + 878787 x^{24} - 2510820 x^{22} + 5476185 x^{20} - 9126975 x^{18} + 11560835 x^{16} - 10994920 x^{14} + 7696444 x^{12} - 3848222 x^{10} + 1314610 x^{8} - 286824 x^{6} + 35853 x^{4} - 2109 x^{2} + 37$ |
$36$ |
[36,0] |
$2^{36}\cdot 37^{35}$ |
$2$ |
$66.9376653121$ |
$66.93766531206457$ |
|
✓ |
✓ |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$2745123952948895000000$ |
| 36.0.294...125.1 |
$x^{36} - x^{35} + 38 x^{34} - 38 x^{33} + 667 x^{32} - 667 x^{31} + 7179 x^{30} - 7179 x^{29} + 53059 x^{28} - 53059 x^{27} + 285900 x^{26} - 285900 x^{25} + 1164687 x^{24} - 1164687 x^{23} + 3675507 x^{22} - 3675507 x^{21} + 9151692 x^{20} - 9151692 x^{19} + 18278667 x^{18} - 18278667 x^{17} + 29839502 x^{16} - 29839502 x^{15} + 40834422 x^{14} - 40834422 x^{13} + 48530866 x^{12} - 48530866 x^{11} + 52379088 x^{10} - 52379088 x^{9} + 53693698 x^{8} - 53693698 x^{7} + 53980522 x^{6} - 53980522 x^{5} + 54016375 x^{4} - 54016375 x^{3} + 54018484 x^{2} - 54018484 x + 54018521$ |
$36$ |
[0,18] |
$5^{18}\cdot 37^{35}$ |
$2$ |
$74.8385849465$ |
$74.83858494645301$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.240...125.1 |
$x^{36} - 5 x^{35} - 61 x^{34} + 341 x^{33} + 1498 x^{32} - 9923 x^{31} - 18344 x^{30} + 162163 x^{29} + 100187 x^{28} - 1651384 x^{27} + 151385 x^{26} + 11009448 x^{25} - 6014336 x^{24} - 49174374 x^{23} + 42405508 x^{22} + 148130790 x^{21} - 162961903 x^{20} - 299264731 x^{19} + 387680446 x^{18} + 399630129 x^{17} - 587870429 x^{16} - 346734395 x^{15} + 566539690 x^{14} + 194732689 x^{13} - 340300799 x^{12} - 73364329 x^{11} + 122941569 x^{10} + 19939192 x^{9} - 25143775 x^{8} - 3815281 x^{7} + 2601760 x^{6} + 414379 x^{5} - 101999 x^{4} - 16958 x^{3} + 222 x^{2} + 69 x + 1$ |
$36$ |
[36,0] |
$3^{18}\cdot 5^{27}\cdot 19^{32}$ |
$3$ |
$79.3337527102$ |
$79.33375271016855$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$57472811629290726000000$ |
| 36.0.113...125.1 |
$x^{36} - x^{35} + 17 x^{34} - 22 x^{33} + 217 x^{32} - 92 x^{31} + 2305 x^{30} - 548 x^{29} + 24025 x^{28} - 9791 x^{27} + 124680 x^{26} - 59713 x^{25} + 544902 x^{24} - 274866 x^{23} + 2154833 x^{22} - 1067627 x^{21} + 7334189 x^{20} - 3450543 x^{19} + 14127290 x^{18} - 3108766 x^{17} + 23851200 x^{16} + 13376744 x^{15} + 25175709 x^{14} + 9088911 x^{13} + 23034602 x^{12} + 232605 x^{11} + 2582197 x^{10} + 124075 x^{9} + 235179 x^{8} - 72948 x^{7} + 30848 x^{6} - 6008 x^{5} + 2425 x^{4} - 368 x^{3} + 56 x^{2} - 7 x + 1$ |
$36$ |
[0,18] |
$5^{27}\cdot 37^{32}$ |
$2$ |
$82.829414473$ |
$82.82941447304844$ |
✓ |
✓ |
|
$C_{36}$ (as 36T1) |
$[7, 66031]$ |
$10$ |
$17$ |
$1106493498513711.8$ |
| 36.36.125...957.1 |
$x^{36} - x^{35} - 73 x^{34} + 73 x^{33} + 2443 x^{32} - 2443 x^{31} - 49653 x^{30} + 49653 x^{29} + 684427 x^{28} - 684427 x^{27} - 6766485 x^{26} + 6766485 x^{25} + 49475883 x^{24} - 49475883 x^{23} - 271909077 x^{22} + 271909077 x^{21} + 1129994283 x^{20} - 1129994283 x^{19} - 3543016917 x^{18} + 3543016917 x^{17} + 8295278123 x^{16} - 8295278123 x^{15} - 14222318037 x^{14} + 14222318037 x^{13} + 17302316587 x^{12} - 17302316587 x^{11} - 14222318037 x^{10} + 14222318037 x^{9} + 7316252203 x^{8} - 7316252203 x^{7} - 2082396629 x^{6} + 2082396629 x^{5} + 267265579 x^{4} - 267265579 x^{3} - 9165269 x^{2} + 9165269 x + 534059$ |
$36$ |
[36,0] |
$7^{18}\cdot 37^{35}$ |
$2$ |
$88.5502078795$ |
$88.55020787949879$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$612451006629215400000000$ |
| 36.36.425...000.1 |
$x^{36} - 4 x^{35} - 71 x^{34} + 290 x^{33} + 2189 x^{32} - 9196 x^{31} - 38498 x^{30} + 168076 x^{29} + 426285 x^{28} - 1964424 x^{27} - 3089535 x^{26} + 15403666 x^{25} + 14704059 x^{24} - 82755920 x^{23} - 44357561 x^{22} + 305983704 x^{21} + 74837468 x^{20} - 772688098 x^{19} - 31268380 x^{18} + 1309519986 x^{17} - 130919914 x^{16} - 1451486164 x^{15} + 278371447 x^{14} + 1018460166 x^{13} - 250289952 x^{12} - 434207956 x^{11} + 116712776 x^{10} + 106401116 x^{9} - 28450501 x^{8} - 13608038 x^{7} + 3438912 x^{6} + 717016 x^{5} - 182615 x^{4} - 4420 x^{3} + 2410 x^{2} - 120 x + 1$ |
$36$ |
[36,0] |
$2^{36}\cdot 5^{27}\cdot 19^{32}$ |
$3$ |
$91.6067269661$ |
$91.60672696607804$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$747855044096060300000000$ |
| 36.36.527...568.1 |
$x^{36} - 68 x^{34} + 2018 x^{32} - 34520 x^{30} + 379376 x^{28} - 2832128 x^{26} + 14836664 x^{24} - 55646624 x^{22} + 151170256 x^{20} - 298819648 x^{18} + 428794592 x^{16} - 442226304 x^{14} + 321513984 x^{12} - 159622144 x^{10} + 51473664 x^{8} - 9968640 x^{6} + 1025280 x^{4} - 46080 x^{2} + 512$ |
$36$ |
[36,0] |
$2^{99}\cdot 19^{32}$ |
$2$ |
$92.1514886968$ |
$92.151488696787$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$990111643439917000000000$ |
| 36.0.527...568.1 |
$x^{36} + 68 x^{34} + 2018 x^{32} + 34520 x^{30} + 379376 x^{28} + 2832128 x^{26} + 14836664 x^{24} + 55646624 x^{22} + 151170256 x^{20} + 298819648 x^{18} + 428794592 x^{16} + 442226304 x^{14} + 321513984 x^{12} + 159622144 x^{10} + 51473664 x^{8} + 9968640 x^{6} + 1025280 x^{4} + 46080 x^{2} + 512$ |
$36$ |
[0,18] |
$2^{99}\cdot 19^{32}$ |
$2$ |
$92.1514886968$ |
$92.151488696787$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
$[37, 294409]$ |
$2$ |
$17$ |
$28122649019657.055$ |
| 36.0.866...125.1 |
$x^{36} - x^{35} + 59 x^{34} - 60 x^{33} + 1544 x^{32} - 1604 x^{31} + 23782 x^{30} - 25386 x^{29} + 241980 x^{28} - 267366 x^{27} + 1738095 x^{26} - 2005461 x^{25} + 9259294 x^{24} - 11264755 x^{23} + 38325434 x^{22} - 49590189 x^{21} + 129770818 x^{20} - 179361007 x^{19} + 381365075 x^{18} - 560976311 x^{17} + 1034017336 x^{16} - 1592813131 x^{15} + 2712046322 x^{14} - 4214492261 x^{13} + 6983906898 x^{12} - 10088647824 x^{11} + 17099968701 x^{10} - 19560482921 x^{9} + 36669453879 x^{8} - 24802862407 x^{7} + 61474246192 x^{6} - 10313272211 x^{5} + 71787766410 x^{4} + 17339912395 x^{3} + 54447870260 x^{2} + 22060436420 x + 32387434201$ |
$36$ |
[0,18] |
$3^{18}\cdot 5^{27}\cdot 19^{34}$ |
$3$ |
$93.4329077489$ |
$93.43290774887147$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.992...037.1 |
$x^{36} - 5 x^{35} - 7 x^{34} + 113 x^{33} - 134 x^{32} - 739 x^{31} + 2258 x^{30} + 1043 x^{29} - 6487 x^{28} + 10602 x^{27} - 7679 x^{26} + 70188 x^{25} + 151074 x^{24} - 206918 x^{23} + 1076336 x^{22} + 1250746 x^{21} + 1661905 x^{20} + 10847659 x^{19} + 5421194 x^{18} + 27598749 x^{17} + 52647189 x^{16} + 1626183 x^{15} + 113310286 x^{14} - 36566989 x^{13} - 148847787 x^{12} + 255532625 x^{11} - 43268279 x^{10} + 813479078 x^{9} + 1554079591 x^{8} - 1876566909 x^{7} - 578854318 x^{6} + 1586432839 x^{5} + 1043809061 x^{4} - 678416260 x^{3} + 674282638 x^{2} - 108094043 x + 315944957$ |
$36$ |
[0,18] |
$13^{27}\cdot 19^{32}$ |
$2$ |
$93.7837041044$ |
$93.78370410435187$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
$[5, 368285]$ |
$2$ |
$17$ |
$224157691393563.94$ |
| 36.0.138...712.1 |
$x^{36} + 74 x^{34} + 2516 x^{32} + 52096 x^{30} + 734080 x^{28} + 7450912 x^{26} + 56242368 x^{24} + 321384960 x^{22} + 1401903360 x^{20} + 4673011200 x^{18} + 11838295040 x^{16} + 22517596160 x^{14} + 31524634624 x^{12} + 31524634624 x^{10} + 21538570240 x^{8} + 9398648832 x^{6} + 2349662208 x^{4} + 276430848 x^{2} + 9699328$ |
$36$ |
[0,18] |
$2^{54}\cdot 37^{35}$ |
$2$ |
$94.6641541179$ |
$94.66415411791277$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.138...712.1 |
$x^{36} - 74 x^{34} + 2516 x^{32} - 52096 x^{30} + 734080 x^{28} - 7450912 x^{26} + 56242368 x^{24} - 321384960 x^{22} + 1401903360 x^{20} - 4673011200 x^{18} + 11838295040 x^{16} - 22517596160 x^{14} + 31524634624 x^{12} - 31524634624 x^{10} + 21538570240 x^{8} - 9398648832 x^{6} + 2349662208 x^{4} - 276430848 x^{2} + 9699328$ |
$36$ |
[36,0] |
$2^{54}\cdot 37^{35}$ |
$2$ |
$94.6641541179$ |
$94.66415411791277$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.0.204...349.1 |
$x^{36} - x^{35} + 2 x^{34} + 68 x^{33} - 61 x^{32} + 115 x^{31} + 1837 x^{30} - 1467 x^{29} + 2590 x^{28} + 25554 x^{27} - 17945 x^{26} + 29347 x^{25} + 199142 x^{24} - 121616 x^{23} + 182604 x^{22} + 887126 x^{21} - 454935 x^{20} + 640151 x^{19} + 2238405 x^{18} - 784527 x^{17} + 1198241 x^{16} + 3146481 x^{15} - 49640 x^{14} + 987382 x^{13} + 2721446 x^{12} + 1177166 x^{11} + 220271 x^{10} + 132851 x^{9} + 1926836 x^{8} - 897617 x^{7} - 2756219 x^{6} + 675039 x^{5} - 330453 x^{4} - 565945 x^{3} + 873358 x^{2} - 52981 x + 103177$ |
$36$ |
[0,18] |
$109^{35}$ |
$1$ |
$95.682236362$ |
$95.68223636204812$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
$[17153]$ |
$2$ |
$17$ |
$26453170924052510$ |
| 36.36.496...000.1 |
$x^{36} - 81 x^{34} + 2889 x^{32} - 59832 x^{30} + 799020 x^{28} - 4 x^{27} - 7227216 x^{26} - 162 x^{25} + 45285660 x^{24} + 6804 x^{23} - 197837730 x^{22} - 84042 x^{21} + 599479200 x^{20} + 488160 x^{19} - 1241952110 x^{18} - 1460934 x^{17} + 1720942785 x^{16} + 1973988 x^{15} - 1551012606 x^{14} + 585108 x^{13} + 878655639 x^{12} - 5409414 x^{11} - 299222487 x^{10} + 6111114 x^{9} + 57031200 x^{8} - 2685978 x^{7} - 5288694 x^{6} + 445752 x^{5} + 162621 x^{4} - 18696 x^{3} - 369 x^{2} + 54 x + 1$ |
$36$ |
[36,0] |
$2^{36}\cdot 3^{88}\cdot 5^{27}$ |
$3$ |
$98.0740024277$ |
$98.07400242766519$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$2134359545650035000000000$ |
| 36.36.614...768.1 |
$x^{36} - 72 x^{34} + 2268 x^{32} - 41280 x^{30} + 483804 x^{28} - 3859488 x^{26} + 21644784 x^{24} - 87049728 x^{22} + 253983600 x^{20} - 540076864 x^{18} + 834837696 x^{16} - 928015488 x^{14} + 726219648 x^{12} - 385913088 x^{10} + 131300352 x^{8} - 25943040 x^{6} + 2509056 x^{4} - 82944 x^{2} + 512$ |
$36$ |
[36,0] |
$2^{99}\cdot 3^{88}$ |
$2$ |
$98.6572233883$ |
$98.65722338828127$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$2782371045387016000000000$ |
| 36.0.614...768.1 |
$x^{36} + 72 x^{34} + 2268 x^{32} + 41280 x^{30} + 483804 x^{28} + 3859488 x^{26} + 21644784 x^{24} + 87049728 x^{22} + 253983600 x^{20} + 540076864 x^{18} + 834837696 x^{16} + 928015488 x^{14} + 726219648 x^{12} + 385913088 x^{10} + 131300352 x^{8} + 25943040 x^{6} + 2509056 x^{4} + 82944 x^{2} + 512$ |
$36$ |
[0,18] |
$2^{99}\cdot 3^{88}$ |
$2$ |
$98.6572233883$ |
$98.65722338828127$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.115...837.1 |
$x^{36} - 9 x^{35} + 18 x^{34} + 114 x^{33} - 594 x^{32} + 297 x^{31} + 4254 x^{30} - 9936 x^{29} - 234 x^{28} + 32299 x^{27} - 58959 x^{26} + 147294 x^{25} - 168765 x^{24} - 310914 x^{23} + 2148039 x^{22} - 2780889 x^{21} + 3302046 x^{20} + 7764570 x^{19} - 20060275 x^{18} + 46453752 x^{17} - 5674194 x^{16} - 33922617 x^{15} + 189154899 x^{14} - 418326174 x^{13} + 239017128 x^{12} + 371741373 x^{11} - 836274987 x^{10} + 2255635343 x^{9} - 421255737 x^{8} - 4539381993 x^{7} + 4681659129 x^{6} - 179083917 x^{5} + 666088029 x^{4} - 2003355207 x^{3} + 1258558695 x^{2} - 261336159 x + 510583503$ |
$36$ |
[0,18] |
$3^{88}\cdot 13^{27}$ |
$2$ |
$100.404670362$ |
$100.4046703623803$ |
✓ |
✓ |
|
$C_{36}$ (as 36T1) |
$[9, 1229913]$ |
$2$ |
$17$ |
$1230094119602891.2$ |
| 36.0.155...125.1 |
$x^{36} - x^{35} + 22 x^{34} - 27 x^{33} + 67 x^{32} - 207 x^{31} - 1315 x^{30} - 33 x^{29} - 8125 x^{28} + 4874 x^{27} + 19535 x^{26} - 12268 x^{25} + 277922 x^{24} - 211291 x^{23} + 935073 x^{22} + 556103 x^{21} + 1859369 x^{20} + 8410217 x^{19} + 1507600 x^{18} + 20224879 x^{17} + 4629050 x^{16} + 12339504 x^{15} + 85759609 x^{14} + 3804421 x^{13} + 229248172 x^{12} + 8915595 x^{11} + 179709102 x^{10} + 277578985 x^{9} + 120093874 x^{8} + 590929432 x^{7} + 16251273 x^{6} + 291093237 x^{5} + 237370345 x^{4} - 94855123 x^{3} + 371447631 x^{2} - 99193272 x + 97362911$ |
$36$ |
[0,18] |
$5^{27}\cdot 37^{34}$ |
$2$ |
$101.229457475$ |
$101.22945747512976$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.446...000.1 |
$x^{36} + 90 x^{34} + 3645 x^{32} + 88050 x^{30} + 1417950 x^{28} + 16119000 x^{26} + 133603875 x^{24} + 822251250 x^{22} + 3789888750 x^{20} + 13095318750 x^{18} + 33719118750 x^{16} + 63846984375 x^{14} + 86985140625 x^{12} + 82533515625 x^{10} + 52017187500 x^{8} + 20334375000 x^{6} + 4461328125 x^{4} + 474609375 x^{2} + 17578125$ |
$36$ |
[0,18] |
$2^{36}\cdot 3^{90}\cdot 5^{27}$ |
$3$ |
$104.246296676$ |
$104.24629667594421$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.553...912.1 |
$x^{36} + 72 x^{34} + 2268 x^{32} + 41280 x^{30} + 483804 x^{28} + 3859488 x^{26} + 21644784 x^{24} + 87049728 x^{22} + 253983600 x^{20} + 540202944 x^{18} + 836167104 x^{16} + 933856128 x^{14} + 740057472 x^{12} + 405022464 x^{10} + 146810880 x^{8} + 33039360 x^{6} + 4167936 x^{4} + 248832 x^{2} + 4608$ |
$36$ |
[0,18] |
$2^{99}\cdot 3^{90}$ |
$2$ |
$104.866222689$ |
$104.86622268878186$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.553...912.1 |
$x^{36} - 72 x^{34} + 2268 x^{32} - 41280 x^{30} + 483804 x^{28} - 3859488 x^{26} + 21644784 x^{24} - 87049728 x^{22} + 253983600 x^{20} - 540202944 x^{18} + 836167104 x^{16} - 933856128 x^{14} + 740057472 x^{12} - 405022464 x^{10} + 146810880 x^{8} - 33039360 x^{6} + 4167936 x^{4} - 248832 x^{2} + 4608$ |
$36$ |
[36,0] |
$2^{99}\cdot 3^{90}$ |
$2$ |
$104.866222689$ |
$104.86622268878186$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$8705458487750299000000000$ |
| 36.36.104...533.1 |
$x^{36} - 90 x^{34} + 3537 x^{32} - 80130 x^{30} + 1165662 x^{28} - 1187 x^{27} - 11505240 x^{26} + 60876 x^{25} + 79561287 x^{24} - 1248885 x^{23} - 393214770 x^{22} + 13538481 x^{21} + 1405474902 x^{20} - 87330726 x^{19} - 3650721350 x^{18} + 358455213 x^{17} + 6873288795 x^{16} - 971296587 x^{15} - 9272415006 x^{14} + 1763581788 x^{13} + 8756851740 x^{12} - 2137188807 x^{11} - 5555566935 x^{10} + 1686910755 x^{9} + 2198845116 x^{8} - 821976822 x^{7} - 465058575 x^{6} + 221243481 x^{5} + 30525471 x^{4} - 24720957 x^{3} + 2832975 x^{2} - 30861 x - 3561$ |
$36$ |
[36,0] |
$3^{90}\cdot 13^{27}$ |
$2$ |
$106.723645361$ |
$106.7236453612354$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$20453357667044700000000000$ |
| 36.0.153...000.1 |
$x^{36} + 95 x^{34} + 4085 x^{32} + 105450 x^{30} + 1827800 x^{28} + 22545875 x^{26} + 204644250 x^{24} + 1393946875 x^{22} + 7200394375 x^{20} + 28304418750 x^{18} + 84453693750 x^{16} + 189620890625 x^{14} + 315440671875 x^{12} + 379529453125 x^{10} + 318610703125 x^{8} + 176833593750 x^{6} + 59649609375 x^{4} + 10576171875 x^{2} + 705078125$ |
$36$ |
[0,18] |
$2^{36}\cdot 5^{27}\cdot 19^{34}$ |
$3$ |
$107.88702888$ |
$107.88702887996082$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.190...048.1 |
$x^{36} - 76 x^{34} + 2546 x^{32} - 49704 x^{30} + 630800 x^{28} - 5506048 x^{26} + 34166712 x^{24} - 153873248 x^{22} + 509408848 x^{20} - 1247889600 x^{18} + 2263903200 x^{16} - 3025838464 x^{14} + 2943264768 x^{12} - 2040175616 x^{10} + 974896384 x^{8} - 304972800 x^{6} + 57390336 x^{4} - 5544960 x^{2} + 184832$ |
$36$ |
[36,0] |
$2^{99}\cdot 19^{34}$ |
$2$ |
$108.528605394$ |
$108.52860539426483$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.0.190...048.1 |
$x^{36} + 76 x^{34} + 2546 x^{32} + 49704 x^{30} + 630800 x^{28} + 5506048 x^{26} + 34166712 x^{24} + 153873248 x^{22} + 509408848 x^{20} + 1247889600 x^{18} + 2263903200 x^{16} + 3025838464 x^{14} + 2943264768 x^{12} + 2040175616 x^{10} + 974896384 x^{8} + 304972800 x^{6} + 57390336 x^{4} + 5544960 x^{2} + 184832$ |
$36$ |
[0,18] |
$2^{99}\cdot 19^{34}$ |
$2$ |
$108.528605394$ |
$108.52860539426483$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.358...357.1 |
$x^{36} - x^{35} - 91 x^{34} + 88 x^{33} + 3610 x^{32} - 3346 x^{31} - 82344 x^{30} + 72306 x^{29} + 1201840 x^{28} - 984922 x^{27} - 11849973 x^{26} + 8895207 x^{25} + 81470952 x^{24} - 54785331 x^{23} - 398471838 x^{22} + 234115845 x^{21} + 1403401302 x^{20} - 701053767 x^{19} - 3577294997 x^{18} + 1476195159 x^{17} + 6583639836 x^{16} - 2182363097 x^{15} - 8653274500 x^{14} + 2258507601 x^{13} + 7953185526 x^{12} - 1642297558 x^{11} - 4939927529 x^{10} + 855286083 x^{9} + 1967167029 x^{8} - 323901451 x^{7} - 461721752 x^{6} + 82956251 x^{5} + 54837496 x^{4} - 10879867 x^{3} - 2246720 x^{2} + 322424 x + 42979$ |
$36$ |
[36,0] |
$13^{27}\cdot 19^{34}$ |
$2$ |
$110.450897312$ |
$110.45089731153283$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$20835202759585965000000000$ |
| 36.36.428...533.1 |
$x^{36} - x^{35} - 110 x^{34} + 110 x^{33} + 5551 x^{32} - 5551 x^{31} - 170273 x^{30} + 170273 x^{29} + 3546007 x^{28} - 3546007 x^{27} - 53034356 x^{26} + 53034356 x^{25} + 587601367 x^{24} - 587601367 x^{23} - 4903561973 x^{22} + 4903561973 x^{21} + 31025687812 x^{20} - 31025687812 x^{19} - 148620561113 x^{18} + 148620561113 x^{17} + 534035184802 x^{16} - 534035184802 x^{15} - 1413681908438 x^{14} + 1413681908438 x^{13} + 2676523987366 x^{12} - 2676523987366 x^{11} - 3458784856340 x^{10} + 3458784856340 x^{9} + 2828954020750 x^{8} - 2828954020750 x^{7} - 1286656880618 x^{6} + 1286656880618 x^{5} + 256697207395 x^{4} - 256697207395 x^{3} - 15659396372 x^{2} + 15659396372 x - 1324838279$ |
$36$ |
[36,0] |
$11^{18}\cdot 37^{35}$ |
$2$ |
$111.003560091$ |
$111.00356009125302$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.36.574...625.1 |
$x^{36} - x^{35} - 73 x^{34} + 73 x^{33} + 2332 x^{32} - 2332 x^{31} - 43030 x^{30} + 43067 x^{29} + 509935 x^{28} - 511341 x^{27} - 4083615 x^{26} + 4104557 x^{25} + 22653732 x^{24} - 22805506 x^{23} - 87888652 x^{22} + 88382528 x^{21} + 238235194 x^{20} - 238127228 x^{19} - 447142705 x^{18} + 440605249 x^{17} + 572080385 x^{16} - 548111526 x^{15} - 488912671 x^{14} + 444437006 x^{13} + 273263612 x^{12} - 225724125 x^{11} - 97607738 x^{10} + 68588675 x^{9} + 20891644 x^{8} - 11623218 x^{7} - 2202202 x^{6} + 983052 x^{5} + 40590 x^{4} - 37038 x^{3} + 3701 x^{2} - 112 x + 1$ |
$36$ |
[36,0] |
$5^{27}\cdot 37^{35}$ |
$2$ |
$111.909786788$ |
$111.90978678799931$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
$[2]$ |
$2$ |
$35$ |
$11027752026555245000000000$ |
| 36.36.574...625.2 |
$x^{36} - x^{35} - 73 x^{34} + 73 x^{33} + 2332 x^{32} - 2332 x^{31} - 43030 x^{30} + 43067 x^{29} + 509935 x^{28} - 511341 x^{27} - 4083615 x^{26} + 4104557 x^{25} + 22653732 x^{24} - 22805506 x^{23} - 87888652 x^{22} + 88382528 x^{21} + 238235194 x^{20} - 238153128 x^{19} - 447116805 x^{18} + 441080699 x^{17} + 571604935 x^{16} - 551208426 x^{15} - 485802821 x^{14} + 453279451 x^{13} + 264470377 x^{12} - 237247220 x^{11} - 86474808 x^{10} + 75196320 x^{9} + 14998099 x^{8} - 13242338 x^{7} - 1052612 x^{6} + 1081472 x^{5} + 16170 x^{4} - 27048 x^{3} - 1109 x^{2} + 73 x + 1$ |
$36$ |
[36,0] |
$5^{27}\cdot 37^{35}$ |
$2$ |
$111.909786788$ |
$111.90978678799931$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
$[2]$ |
$2$ |
$35$ |
$23167749867944500000000000$ |
| 36.0.637...673.1 |
$x^{36} - x^{35} + 38 x^{34} - 39 x^{33} + 561 x^{32} - 601 x^{31} + 3888 x^{30} - 4530 x^{29} + 10264 x^{28} - 15478 x^{27} - 19312 x^{26} - 1012 x^{25} - 167907 x^{24} + 121974 x^{23} - 184657 x^{22} - 156751 x^{21} + 999062 x^{20} - 2430972 x^{19} + 4232753 x^{18} - 1463792 x^{17} + 9417109 x^{16} + 13576136 x^{15} + 7937927 x^{14} + 3265491 x^{13} - 6979148 x^{12} - 15614599 x^{11} + 51376587 x^{10} - 272723622 x^{9} + 204165408 x^{8} - 795120590 x^{7} + 735644116 x^{6} + 205773888 x^{5} - 581240646 x^{4} + 1221427512 x^{3} + 517519970 x^{2} + 66691066 x + 352837909$ |
$36$ |
[0,18] |
$3^{18}\cdot 73^{35}$ |
$2$ |
$112.234020098$ |
$112.2340200982425$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.138...953.1 |
$x^{36} - 5 x^{35} - 79 x^{34} + 390 x^{33} + 2741 x^{32} - 13255 x^{31} - 55320 x^{30} + 259850 x^{29} + 725836 x^{28} - 3282873 x^{27} - 6560791 x^{26} + 28311871 x^{25} + 42269189 x^{24} - 172282852 x^{23} - 198208062 x^{22} + 753951297 x^{21} + 685040172 x^{20} - 2395183687 x^{19} - 1756656704 x^{18} + 5531856779 x^{17} + 3347805950 x^{16} - 9231423375 x^{15} - 4725796398 x^{14} + 10966716924 x^{13} + 4892716648 x^{12} - 9032341692 x^{11} - 3641245978 x^{10} + 4933888279 x^{9} + 1874543316 x^{8} - 1656296027 x^{7} - 620220074 x^{6} + 295821384 x^{5} + 113625303 x^{4} - 20290580 x^{3} - 8104196 x^{2} + 289902 x + 131479$ |
$36$ |
[36,0] |
$17^{27}\cdot 19^{32}$ |
$2$ |
$114.684984057$ |
$114.68498405745285$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.0.205...272.1 |
$x^{36} + 111 x^{34} + 5661 x^{32} + 175824 x^{30} + 3716280 x^{28} + 56580363 x^{26} + 640635723 x^{24} + 5491163340 x^{22} + 35929249785 x^{20} + 179646248925 x^{18} + 682655745915 x^{16} + 1947717093240 x^{14} + 4090205895804 x^{12} + 6135308843706 x^{10} + 6287738877090 x^{8} + 4115610901368 x^{6} + 1543354088013 x^{4} + 272356603767 x^{2} + 14334558093$ |
$36$ |
[0,18] |
$2^{36}\cdot 3^{18}\cdot 37^{35}$ |
$3$ |
$115.939437261$ |
$115.93943726053665$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.867...197.1 |
$x^{36} - x^{35} + 112 x^{34} - 112 x^{33} + 5773 x^{32} - 5773 x^{31} + 181597 x^{30} - 181597 x^{29} + 3897877 x^{28} - 3897877 x^{27} + 60478240 x^{26} - 60478240 x^{25} + 701113963 x^{24} - 701113963 x^{23} + 6192277303 x^{22} - 6192277303 x^{21} + 42121527088 x^{20} - 42121527088 x^{19} + 221767776013 x^{18} - 221767776013 x^{17} + 904423521928 x^{16} - 904423521928 x^{15} + 2852140615168 x^{14} - 2852140615168 x^{13} + 6942346510972 x^{12} - 6942346510972 x^{11} + 13077655354678 x^{10} - 13077655354678 x^{9} + 19365394231768 x^{8} - 19365394231768 x^{7} + 23481005133136 x^{6} - 23481005133136 x^{5} + 25024359221149 x^{4} - 25024359221149 x^{3} + 25296715824916 x^{2} - 25296715824916 x + 25311050383009$ |
$36$ |
[0,18] |
$13^{18}\cdot 37^{35}$ |
$2$ |
$120.673592271$ |
$120.67359227124801$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.100...125.1 |
$x^{36} - 5 x^{35} - 106 x^{34} + 576 x^{33} + 4748 x^{32} - 28843 x^{31} - 115949 x^{30} + 828348 x^{29} + 1629697 x^{28} - 15168779 x^{27} - 11682690 x^{26} + 186285918 x^{25} - 2650226 x^{24} - 1569853689 x^{23} + 914490403 x^{22} + 9108603560 x^{21} - 9534770098 x^{20} - 35750739076 x^{19} + 53688190461 x^{18} + 89890122764 x^{17} - 189283268344 x^{16} - 122122737810 x^{15} + 426442427850 x^{14} + 11187896154 x^{13} - 592676197584 x^{12} + 245721510051 x^{11} + 453633366839 x^{10} - 383461167983 x^{9} - 120956160490 x^{8} + 241065482259 x^{7} - 52118240795 x^{6} - 50437624086 x^{5} + 31289390741 x^{4} - 4396742158 x^{3} - 1194513983 x^{2} + 440202944 x - 38741779$ |
$36$ |
[36,0] |
$5^{27}\cdot 7^{18}\cdot 19^{32}$ |
$3$ |
$121.184308986$ |
$121.18430898641847$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.0.147...093.1 |
$x^{36} - x^{35} + x^{34} - 75 x^{33} + 75 x^{32} - 75 x^{31} + 2258 x^{30} - 2258 x^{29} + 2258 x^{28} - 35632 x^{27} + 45400 x^{26} + 119990 x^{25} + 198321 x^{24} - 518223 x^{23} - 4625406 x^{22} + 3695300 x^{21} + 33634 x^{20} + 56706162 x^{19} - 46277342 x^{18} + 29299115 x^{17} - 291942394 x^{16} - 435767982 x^{15} + 2609795075 x^{14} - 3628140858 x^{13} + 8655990864 x^{12} - 16280549821 x^{11} + 5568096849 x^{10} - 10318189483 x^{9} + 6830622430 x^{8} + 20289170186 x^{7} + 8240704677 x^{6} + 9043770139 x^{5} + 26040564999 x^{4} + 31837565120 x^{3} + 39074748065 x^{2} + 19960512173 x + 3220122359$ |
$36$ |
[0,18] |
$7^{24}\cdot 37^{35}$ |
$2$ |
$122.472690446$ |
$122.47269044602223$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.147...093.2 |
$x^{36} - x^{35} + x^{34} - 75 x^{33} + 75 x^{32} - 75 x^{31} + 2258 x^{30} - 2258 x^{29} + 2258 x^{28} - 35632 x^{27} + 88912 x^{26} - 141082 x^{25} + 419248 x^{24} - 2164168 x^{23} + 3786655 x^{22} - 5399226 x^{21} + 25738866 x^{20} - 43636654 x^{19} + 45675169 x^{18} - 134516572 x^{17} + 608277633 x^{16} + 210697572 x^{15} + 483104635 x^{14} - 2456734881 x^{13} - 3520305170 x^{12} + 4756769209 x^{11} + 3056835180 x^{10} + 11987996706 x^{9} - 16828858702 x^{8} - 21147409719 x^{7} + 62024124864 x^{6} - 77278253614 x^{5} + 32045586448 x^{4} + 26637733490 x^{3} - 23963519122 x^{2} - 1001698929 x + 4902414383$ |
$36$ |
[0,18] |
$7^{24}\cdot 37^{35}$ |
$2$ |
$122.472690446$ |
$122.47269044602223$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
$[3, 219, 219]$ |
$2$ |
$17$ |
$753515849420102000$ |
| 36.36.161...153.1 |
$x^{36} - 9 x^{35} - 54 x^{34} + 663 x^{33} + 900 x^{32} - 21123 x^{31} + 3384 x^{30} + 384777 x^{29} - 346671 x^{28} - 4471182 x^{27} + 5977575 x^{26} + 35054136 x^{25} - 57044091 x^{24} - 191337390 x^{23} + 352370736 x^{22} + 739812750 x^{21} - 1490798520 x^{20} - 2042773668 x^{19} + 4425991518 x^{18} + 4034658177 x^{17} - 9295450155 x^{16} - 5684174823 x^{15} + 13762436715 x^{14} + 5683029075 x^{13} - 14155302033 x^{12} - 4012945749 x^{11} + 9826841817 x^{10} + 1995816947 x^{9} - 4377201930 x^{8} - 693810117 x^{7} + 1144043901 x^{6} + 161683686 x^{5} - 148152627 x^{4} - 22153542 x^{3} + 6577803 x^{2} + 1322991 x + 59399$ |
$36$ |
[36,0] |
$3^{88}\cdot 17^{27}$ |
$2$ |
$122.781544297$ |
$122.78154429676727$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
trivial |
$2$ |
$35$ |
$124961622660106570000000000$ |
| 36.36.111...000.1 |
$x^{36} - 4 x^{35} - 116 x^{34} + 460 x^{33} + 5979 x^{32} - 23476 x^{31} - 181078 x^{30} + 702796 x^{29} + 3590990 x^{28} - 13745544 x^{27} - 49199940 x^{26} + 185163176 x^{25} + 479024139 x^{24} - 1765001420 x^{23} - 3359324006 x^{22} + 12047051724 x^{21} + 17028528943 x^{20} - 58949240428 x^{19} - 62127958560 x^{18} + 205234716376 x^{17} + 161334808461 x^{16} - 500398910824 x^{15} - 292768813138 x^{14} + 833522210816 x^{13} + 361220803118 x^{12} - 915209478436 x^{11} - 290667972364 x^{10} + 629101525616 x^{9} + 142404860174 x^{8} - 250219262748 x^{7} - 37141877508 x^{6} + 50291714556 x^{5} + 3858426385 x^{4} - 3886965620 x^{3} - 85804540 x^{2} + 84727480 x - 4592149$ |
$36$ |
[36,0] |
$2^{54}\cdot 5^{27}\cdot 19^{32}$ |
$3$ |
$129.55147568$ |
$129.5514756800367$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.0.111...000.1 |
$x^{36} - 4 x^{35} + 64 x^{34} - 220 x^{33} + 2159 x^{32} - 6676 x^{31} + 49642 x^{30} - 139724 x^{29} + 858930 x^{28} - 2217384 x^{27} + 11787900 x^{26} - 28016984 x^{25} + 132518139 x^{24} - 290572940 x^{23} + 1247034754 x^{22} - 2523795036 x^{21} + 9967083083 x^{20} - 18594206188 x^{19} + 68243623460 x^{18} - 116924953584 x^{17} + 401400108401 x^{16} - 627422642344 x^{15} + 2023423052542 x^{14} - 2856431530224 x^{13} + 8682432478218 x^{12} - 10910788220836 x^{11} + 31320358989476 x^{10} - 34267775685784 x^{9} + 92814563432174 x^{8} - 85401470798108 x^{7} + 218505128213772 x^{6} - 159756732496364 x^{5} + 384697409362585 x^{4} - 200163531732820 x^{3} + 452582283671560 x^{2} - 126914368211520 x + 267925632607951$ |
$36$ |
[0,18] |
$2^{54}\cdot 5^{27}\cdot 19^{32}$ |
$3$ |
$129.55147568$ |
$129.5514756800367$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.0.113...152.1 |
$x^{36} + 73 x^{34} + 2336 x^{32} + 43289 x^{30} + 517205 x^{28} + 4199763 x^{26} + 23818951 x^{24} + 95548021 x^{22} + 271775788 x^{20} + 545083627 x^{18} + 760556194 x^{16} + 721589086 x^{14} + 449489251 x^{12} + 174817626 x^{10} + 39695721 x^{8} + 4809386 x^{6} + 284846 x^{4} + 7592 x^{2} + 73$ |
$36$ |
[0,18] |
$2^{36}\cdot 73^{35}$ |
$2$ |
$129.596683432$ |
$129.59668343190836$ |
✓ |
✓ |
|
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
| 36.36.113...125.1 |
$x^{36} - x^{35} - 147 x^{34} + 147 x^{33} + 9917 x^{32} - 9917 x^{31} - 406851 x^{30} + 406851 x^{29} + 11338429 x^{28} - 11338429 x^{27} - 227090755 x^{26} + 227090755 x^{25} + 3372420797 x^{24} - 3372420797 x^{23} - 37764854083 x^{22} + 37764854083 x^{21} + 321122406077 x^{20} - 321122406077 x^{19} - 2071459328323 x^{18} + 2071459328323 x^{17} + 10050954792637 x^{16} - 10050954792637 x^{15} - 36065082143043 x^{14} + 36065082143043 x^{13} + 93059821276861 x^{12} - 93059821276861 x^{11} - 165189985562947 x^{10} + 165189985562947 x^{9} + 187697949249213 x^{8} - 187697949249213 x^{7} - 120276975677763 x^{6} + 120276975677763 x^{5} + 33710486785725 x^{4} - 33710486785725 x^{3} - 2521857323331 x^{2} + 2521857323331 x + 20763315901$ |
$36$ |
[36,0] |
$3^{18}\cdot 5^{18}\cdot 37^{35}$ |
$3$ |
$129.624231494$ |
$129.62423149381598$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.36.117...125.1 |
$x^{36} - 9 x^{35} - 81 x^{34} + 951 x^{33} + 2088 x^{32} - 42939 x^{31} + 5643 x^{30} + 1085229 x^{29} - 1512459 x^{28} - 16861368 x^{27} + 39162357 x^{26} + 165335742 x^{25} - 541366140 x^{24} - 985627989 x^{23} + 4697849808 x^{22} + 2841546570 x^{21} - 26805831327 x^{20} + 3870494730 x^{19} + 100934354919 x^{18} - 69735280059 x^{17} - 242670922227 x^{16} + 290388199548 x^{15} + 335224535589 x^{14} - 646861351536 x^{13} - 161390547741 x^{12} + 823286390904 x^{11} - 214390074411 x^{10} - 552047771387 x^{9} + 373616574660 x^{8} + 125024057829 x^{7} - 203664646266 x^{6} + 44758761705 x^{5} + 30223063710 x^{4} - 20282160951 x^{3} + 4783445352 x^{2} - 474397875 x + 13538501$ |
$36$ |
[36,0] |
$3^{88}\cdot 5^{27}\cdot 7^{18}$ |
$3$ |
$129.739710252$ |
$129.73971025217352$ |
|
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$35$ |
|
| 36.0.145...377.1 |
$x^{36} + 36 x^{34} + 594 x^{32} + 5952 x^{30} + 40455 x^{28} - 14128 x^{27} + 197316 x^{26} - 381456 x^{25} + 712530 x^{24} - 4577472 x^{23} + 1937520 x^{22} - 32169456 x^{21} + 3996135 x^{20} - 146860560 x^{19} + 215269598 x^{18} - 456602832 x^{17} + 3769723674 x^{16} - 985682304 x^{15} + 28224185886 x^{14} - 1478523456 x^{13} + 114129248142 x^{12} - 1517431968 x^{11} + 269011171638 x^{10} + 132056987296 x^{9} + 372475050696 x^{8} + 1197349695360 x^{7} + 289702503252 x^{6} + 3593254105584 x^{5} + 112871077641 x^{4} + 3992608699248 x^{3} + 16930660662 x^{2} + 1197785699568 x + 88739165414377$ |
$36$ |
[0,18] |
$3^{90}\cdot 17^{27}$ |
$2$ |
$130.508809432$ |
$130.5088094322623$ |
✓ |
✓ |
? |
$C_{36}$ (as 36T1) |
not computed |
$2$ |
$17$ |
|
