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Label Polynomial Discriminant Galois group Class group Regulator
39.1.111...655.1 $x^{39} - x - 1$ $-\,5\cdot 277\cdot 182969\cdot 824281\cdot 240883723\cdot 166682962769\cdot 13296842994412570838812157821$ $S_{39}$ (as 39T306) trivial $2439954038147028.0$
39.1.113...263.1 $x^{39} + x - 1$ $-\,2273\cdot 50\!\cdots\!31$ $S_{39}$ (as 39T306) trivial $1954406735071007.5$
39.1.591...911.1 $x^{39} + 2 x - 1$ $-\,15377\cdot 121075963\cdot 2526314190511031\cdot 12\!\cdots\!31$ $S_{39}$ (as 39T306) not computed
39.39.128...161.1 $x^{39} - x^{38} - 38 x^{37} + 37 x^{36} + 666 x^{35} - 630 x^{34} - 7140 x^{33} + 6545 x^{32} + 52360 x^{31} - 46376 x^{30} - 278256 x^{29} + 237336 x^{28} + 1107568 x^{27} - 906192 x^{26} - 3365856 x^{25} + 2629575 x^{24} + 7888725 x^{23} - 5852925 x^{22} - 14307150 x^{21} + 10015005 x^{20} + 20030010 x^{19} - 13123110 x^{18} - 21474180 x^{17} + 13037895 x^{16} + 17383860 x^{15} - 9657700 x^{14} - 10400600 x^{13} + 5200300 x^{12} + 4457400 x^{11} - 1961256 x^{10} - 1307504 x^{9} + 490314 x^{8} + 245157 x^{7} - 74613 x^{6} - 26334 x^{5} + 5985 x^{4} + 1330 x^{3} - 190 x^{2} - 20 x + 1$ $79^{38}$ $C_{39}$ (as 39T1) trivial $536916737153376600000000$
39.1.297...392.1 $x^{39} - 4 x - 4$ $-\,2^{38}\cdot 7\cdot 379\cdot 21067\cdot 725149\cdot 2449913\cdot 4899001\cdot 8078297\cdot 27558093317186226614976151637$ $S_{39}$ (as 39T306) not computed
39.1.303...344.1 $x^{39} - 2 x - 2$ $-\,2^{38}\cdot 109\cdot 733\cdot 2281571\cdot 39359244317586317715611\cdot 15393176755842820625535054943$ $S_{39}$ (as 39T306) not computed
39.1.309...992.1 $x^{39} - x - 2$ $-\,2^{39}\cdot 6984751662407\cdot 51339275011007\cdot 15\!\cdots\!91$ $S_{39}$ (as 39T306) not computed
39.1.309...855.1 $x^{39} - x - 4$ $-\,5\cdot 7\cdot 41\cdot 659\cdot 2251\cdot 31793\cdot 2678539\cdot 118932731307271627\cdot 14\!\cdots\!53$ $S_{39}$ (as 39T306) not computed
39.1.309...296.1 $x^{39} - 2$ $-\,2^{38}\cdot 3^{39}\cdot 13^{39}$ $S_3\times F_{13}$ (as 39T23) not computed
39.1.315...248.1 $x^{39} + 2 x - 2$ $-\,2^{38}\cdot 248461\cdot 12252886339\cdot 405761380291\cdot 92\!\cdots\!03$ $S_{39}$ (as 39T306) not computed
39.1.518...647.1 $x^{39} + 3 x - 1$ $-\,3^{39}\cdot 14058971690735203\cdot 72182134610038326703\cdot 1260658330770821965649$ $S_{39}$ (as 39T306) not computed
39.3.436...209.1 $x^{39} - 3 x - 1$ $3^{40}\cdot 113\cdot 28201\cdot 37423\cdot 9699563\cdot 158105977\cdot 19\!\cdots\!41$ $S_{39}$ (as 39T306) not computed
39.1.436...464.1 $x^{39} + 3 x - 2$ $-\,2^{39}\cdot 3^{39}\cdot 11\cdot 17\cdot 10\!\cdots\!57$ $S_{39}$ (as 39T306) not computed
39.1.147...183.1 $x^{39} - 3 x - 3$ $-\,3^{39}\cdot 43\cdot 389\cdot 7503689519\cdot 5584497575731\cdot 52\!\cdots\!83$ $S_{39}$ (as 39T306) not computed
39.1.152...351.1 $x^{39} - 3$ $-\,3^{77}\cdot 13^{39}$ $S_3\times F_{13}$ (as 39T23) not computed
39.1.152...655.1 $x^{39} + x - 3$ $-\,5\cdot 378559\cdot 2269473744073\cdot 35\!\cdots\!33$ $S_{39}$ (as 39T306) not computed
39.1.156...519.1 $x^{39} + 3 x - 3$ $-\,3^{39}\cdot 7\cdot 1570897\cdot 35\!\cdots\!83$ $S_{39}$ (as 39T306) not computed
39.39.270...889.1 $x^{39} - 78 x^{37} + 2691 x^{35} - 26 x^{34} - 54301 x^{33} + 1573 x^{32} + 714415 x^{31} - 41041 x^{30} - 6470152 x^{29} + 608296 x^{28} + 41530255 x^{27} - 5687020 x^{26} - 191726951 x^{25} + 35251762 x^{24} + 639669732 x^{23} - 148392244 x^{22} - 1537691324 x^{21} + 427950341 x^{20} + 2636840661 x^{19} - 844358905 x^{18} - 3171548939 x^{17} + 1129454313 x^{16} + 2610137920 x^{15} - 1007230666 x^{14} - 1417531106 x^{13} + 581665721 x^{12} + 480801555 x^{11} - 206676184 x^{10} - 93363413 x^{9} + 41256709 x^{8} + 9129731 x^{7} - 3966105 x^{6} - 427921 x^{5} + 161980 x^{4} + 7137 x^{3} - 1833 x^{2} + 78 x - 1$ $13^{74}$ $C_{39}$ (as 39T1) trivial $80306583605632290000000000000$
39.39.278...849.1 $x^{39} - x^{38} - 76 x^{37} + 71 x^{36} + 2556 x^{35} - 2222 x^{34} - 50313 x^{33} + 40520 x^{32} + 646279 x^{31} - 479776 x^{30} - 5720417 x^{29} + 3892342 x^{28} + 35931891 x^{27} - 22265255 x^{26} - 162617513 x^{25} + 91086546 x^{24} + 533275855 x^{23} - 267613697 x^{22} - 1265136580 x^{21} + 562372122 x^{20} + 2154121978 x^{19} - 835520674 x^{18} - 2594978102 x^{17} + 861831376 x^{16} + 2164301236 x^{15} - 603623323 x^{14} - 1211061590 x^{13} + 280758113 x^{12} + 434291871 x^{11} - 84841877 x^{10} - 93357668 x^{9} + 15992102 x^{8} + 10935603 x^{7} - 1639529 x^{6} - 599706 x^{5} + 67036 x^{4} + 11826 x^{3} - 272 x^{2} - 49 x - 1$ $157^{38}$ $C_{39}$ (as 39T1) trivial $216984792046842040000000000000$
39.3.325...080.1 $x^{39} - 4 x - 2$ $2^{38}\cdot 5\cdot 307\cdot 2957\cdot 227299\cdot 2015359939\cdot 126713808485393773489\cdot 44\!\cdots\!59$ $S_{39}$ (as 39T306) not computed
39.1.325...727.1 $x^{39} + 4 x - 3$ $-\,11\cdot 383\cdot 258901833901\cdot 46102253730493\cdot 64\!\cdots\!03$ $S_{39}$ (as 39T306) not computed
39.39.111...929.1 $x^{39} - 10 x^{38} - 55 x^{37} + 838 x^{36} + 433 x^{35} - 29490 x^{34} + 36492 x^{33} + 574075 x^{32} - 1308560 x^{31} - 6805710 x^{30} + 21722262 x^{29} + 50319569 x^{28} - 220059875 x^{27} - 219014481 x^{26} + 1482194078 x^{25} + 368114118 x^{24} - 6887826619 x^{23} + 1579984745 x^{22} + 22412813436 x^{21} - 12656284391 x^{20} - 51075711901 x^{19} + 41988060380 x^{18} + 80500790810 x^{17} - 83924117638 x^{16} - 85491405725 x^{15} + 107935481554 x^{14} + 58560262932 x^{13} - 89832821948 x^{12} - 24031853409 x^{11} + 47511398377 x^{10} + 5015492400 x^{9} - 15459668136 x^{8} - 163687701 x^{7} + 2936606920 x^{6} - 133518320 x^{5} - 294156298 x^{4} + 23663051 x^{3} + 11997840 x^{2} - 1233420 x - 17513$ $7^{26}\cdot 53^{36}$ $C_{39}$ (as 39T1) trivial $688762923023490700000000000000$
39.1.212...368.1 $x^{39} - 2 x - 4$ $-\,2^{74}\cdot 7\cdot 587\cdot 18500401851230653445409506417\cdot 14\!\cdots\!09$ $S_{39}$ (as 39T306) not computed
39.1.212...344.1 $x^{39} + 2 x - 4$ $-\,2^{74}\cdot 67\cdot 127\cdot 1705859\cdot 46716239\cdot 16\!\cdots\!49$ $S_{39}$ (as 39T306) not computed
39.1.850...256.1 $x^{39} - 3 x - 4$ $-\,2^{38}\cdot 3^{40}\cdot 25\!\cdots\!49$ $S_{39}$ (as 39T306) not computed
39.1.850...728.1 $x^{39} + x - 4$ $-\,2^{38}\cdot 11\cdot 28\!\cdots\!67$ $S_{39}$ (as 39T306) not computed
39.1.401...376.1 $x^{39} + 5 x - 4$ $-\,2^{38}\cdot 7\cdot 68315637157987\cdot 30\!\cdots\!81$ $S_{39}$ (as 39T306) not computed
39.39.766...761.1 $x^{39} - 3 x^{38} - 108 x^{37} + 298 x^{36} + 5118 x^{35} - 12960 x^{34} - 141273 x^{33} + 327258 x^{32} + 2542896 x^{31} - 5364720 x^{30} - 31665816 x^{29} + 60457005 x^{28} + 282448421 x^{27} - 483720000 x^{26} - 1843142403 x^{25} + 2798088433 x^{24} + 8906870079 x^{23} - 11806339326 x^{22} - 32037019809 x^{21} + 36413436990 x^{20} + 85660814031 x^{19} - 81805437661 x^{18} - 168975543573 x^{17} + 132746230803 x^{16} + 242513964655 x^{15} - 153550437819 x^{14} - 248180206443 x^{13} + 124178901378 x^{12} + 176350634529 x^{11} - 68071818495 x^{10} - 84005722509 x^{9} + 23987475126 x^{8} + 25531114500 x^{7} - 4940743725 x^{6} - 4581690405 x^{5} + 488059458 x^{4} + 422630171 x^{3} - 11643372 x^{2} - 14496000 x - 430019$ $3^{52}\cdot 53^{36}$ $C_{39}$ (as 39T1) trivial $14858926187187562000000000000000$
39.3.195...041.1 $x^{39} - 5 x - 1$ $7927\cdot 100829867\cdot 421590019\cdot 318322193083061\cdot 332220892743431\cdot 54\!\cdots\!81$ $S_{39}$ (as 39T306) not computed
39.1.455...727.1 $x^{39} + 3 x - 5$ $-\,3^{37}\cdot 151\cdot 2609\cdot 99918475519\cdot 325937638315547\cdot 78\!\cdots\!67$ $S_{39}$ (as 39T306) not computed
39.1.390...375.1 $x^{39} - 5 x - 5$ $-\,5^{38}\cdot 818093\cdot 1607563\cdot 82561960451\cdot 98\!\cdots\!71$ $S_{39}$ (as 39T306) not computed
39.1.409...207.1 $x^{39} - 3 x - 5$ $-\,3^{40}\cdot 101\cdot 2063\cdot 3701\cdot 268997\cdot 2960047\cdot 54\!\cdots\!71$ $S_{39}$ (as 39T306) not computed
39.1.409...423.1 $x^{39} - 2 x - 5$ $-\,23\cdot 139\cdot 18119\cdot 1044213497\cdot 67\!\cdots\!13$ $S_{39}$ (as 39T306) not computed
39.1.409...375.1 $x^{39} - 5$ $-\,3^{39}\cdot 5^{38}\cdot 13^{39}$ $S_3\times F_{13}$ (as 39T23) not computed
39.1.409...327.1 $x^{39} + 2 x - 5$ $-\,229\cdot 1987\cdot 142963\cdot 1366812637\cdot 810114948493\cdot 156226602792479\cdot 2528280980108249089\cdot 1439749307724964790152813$ $S_{39}$ (as 39T306) not computed
39.1.429...375.1 $x^{39} + 5 x - 5$ $-\,5^{38}\cdot 11\cdot 18424603\cdot 298789856935478924630711\cdot 19\!\cdots\!33$ $S_{39}$ (as 39T306) not computed
39.39.193...529.1 $x^{39} - 10 x^{38} - 91 x^{37} + 1036 x^{36} + 3946 x^{35} - 48394 x^{34} - 113775 x^{33} + 1340155 x^{32} + 2502275 x^{31} - 24308912 x^{30} - 43149237 x^{29} + 301161228 x^{28} + 566666743 x^{27} - 2578642861 x^{26} - 5471311188 x^{25} + 15078823676 x^{24} + 37876474410 x^{23} - 57546616634 x^{22} - 184436616929 x^{21} + 124709319279 x^{20} + 618742359228 x^{19} - 54324200102 x^{18} - 1388110537758 x^{17} - 483581361681 x^{16} + 1979142956060 x^{15} + 1427263115288 x^{14} - 1609144180429 x^{13} - 1887910006886 x^{12} + 509773426670 x^{11} + 1295640832119 x^{10} + 171082251210 x^{9} - 429221222404 x^{8} - 160917420416 x^{7} + 56100044133 x^{6} + 37303198473 x^{5} - 296394467 x^{4} - 3173168574 x^{3} - 345469686 x^{2} + 87223662 x + 14066053$ $7^{26}\cdot 79^{36}$ $C_{39}$ (as 39T1) not computed
39.39.108...489.1 $x^{39} - 10 x^{38} - 81 x^{37} + 1050 x^{36} + 2269 x^{35} - 47944 x^{34} - 10490 x^{33} + 1262097 x^{32} - 921080 x^{31} - 21400660 x^{30} + 27475516 x^{29} + 247428139 x^{28} - 406156179 x^{27} - 2015287011 x^{26} + 3799253180 x^{25} + 11792160578 x^{24} - 24197312569 x^{23} - 50158998143 x^{22} + 108120625100 x^{21} + 156174553989 x^{20} - 342706955337 x^{19} - 357124870516 x^{18} + 769896542138 x^{17} + 599267077900 x^{16} - 1212025785075 x^{15} - 732019943274 x^{14} + 1306427105242 x^{13} + 636966693014 x^{12} - 927524873227 x^{11} - 377238926259 x^{10} + 408532943088 x^{9} + 139924561470 x^{8} - 102630494231 x^{7} - 28423351128 x^{6} + 13445073140 x^{5} + 2704930022 x^{4} - 804059407 x^{3} - 106744516 x^{2} + 15239414 x + 1788197$ $13^{26}\cdot 53^{36}$ $C_{39}$ (as 39T1) not computed
39.39.133...161.1 $x^{39} - 3 x^{38} - 144 x^{37} + 544 x^{36} + 8607 x^{35} - 39873 x^{34} - 273219 x^{33} + 1586748 x^{32} + 4768863 x^{31} - 38339003 x^{30} - 36770526 x^{29} + 590401068 x^{28} - 186548878 x^{27} - 5865182265 x^{26} + 7401235119 x^{25} + 36650142262 x^{24} - 80182575711 x^{23} - 129404499477 x^{22} + 478911168431 x^{21} + 133680753126 x^{20} - 1717086418740 x^{19} + 841783459401 x^{18} + 3624110595294 x^{17} - 4051561096485 x^{16} - 3908165428785 x^{15} + 8158071470571 x^{14} + 524362618785 x^{13} - 8608241123601 x^{12} + 3464219056332 x^{11} + 4466815249788 x^{10} - 3609335878022 x^{9} - 703907774076 x^{8} + 1408564281330 x^{7} - 178984846489 x^{6} - 212099031525 x^{5} + 49542152886 x^{4} + 13836139901 x^{3} - 2992803492 x^{2} - 474072537 x + 17616187$ $3^{52}\cdot 79^{36}$ $C_{39}$ (as 39T1) not computed
39.39.120...489.1 $x^{39} - x^{38} - 196 x^{37} + 37 x^{36} + 17177 x^{35} + 9403 x^{34} - 882381 x^{33} - 1067223 x^{32} + 29336001 x^{31} + 53273410 x^{30} - 658772565 x^{29} - 1583577890 x^{28} + 10123695780 x^{27} + 30773254905 x^{26} - 105181421187 x^{25} - 406462457224 x^{24} + 701275142050 x^{23} + 3703719049533 x^{22} - 2495293357664 x^{21} - 23296951876563 x^{20} - 582451600575 x^{19} + 100148494787668 x^{18} + 52233018535617 x^{17} - 288162921569191 x^{16} - 262264312267859 x^{15} + 535079835460586 x^{14} + 679366178486570 x^{13} - 600819998721797 x^{12} - 1028790083129260 x^{11} + 359936453258218 x^{10} + 916306649955834 x^{9} - 86249482058917 x^{8} - 469190872234743 x^{7} + 4041363119341 x^{6} + 135236928048853 x^{5} - 4445757797975 x^{4} - 19527462450618 x^{3} + 2244998319481 x^{2} + 789598736860 x - 116423735903$ $7^{26}\cdot 79^{38}$ $C_{39}$ (as 39T1) not computed
39.39.120...489.2 $x^{39} - x^{38} - 196 x^{37} + 37 x^{36} + 17177 x^{35} + 9403 x^{34} - 882381 x^{33} - 1067223 x^{32} + 29336001 x^{31} + 53273410 x^{30} - 658679661 x^{29} - 1582974014 x^{28} + 10115860876 x^{27} + 30713447955 x^{26} - 104944361700 x^{25} - 404054826285 x^{24} + 698746620334 x^{23} + 3652383956122 x^{22} - 2514455451909 x^{21} - 22664595762180 x^{20} + 201147288071 x^{19} + 95542005646477 x^{18} + 43535191283083 x^{17} - 268603953306336 x^{16} - 212548013703570 x^{15} + 489275966728363 x^{14} + 517783387282365 x^{13} - 549595953418310 x^{12} - 723715965685304 x^{11} + 343123809068303 x^{10} + 580854022082499 x^{9} - 85745300820944 x^{8} - 252040837202603 x^{7} - 10510715956375 x^{6} + 52566975147352 x^{5} + 6905591385122 x^{4} - 5057933882725 x^{3} - 892913278781 x^{2} + 181524069429 x + 36571406327$ $7^{26}\cdot 79^{38}$ $C_{39}$ (as 39T1) not computed
39.39.677...529.1 $x^{39} - x^{38} - 152 x^{37} + 131 x^{36} + 10058 x^{35} - 7664 x^{34} - 385412 x^{33} + 259301 x^{32} + 9584688 x^{31} - 5543314 x^{30} - 164185853 x^{29} + 77293037 x^{28} + 2005287415 x^{27} - 697581260 x^{26} - 17813421285 x^{25} + 3767883715 x^{24} + 116209225455 x^{23} - 7694298355 x^{22} - 557397698695 x^{21} - 45743080985 x^{20} + 1952302482609 x^{19} + 442964945371 x^{18} - 4917326782303 x^{17} - 1782021019971 x^{16} + 8684112089102 x^{15} + 4202789024049 x^{14} - 10349426133993 x^{13} - 6090366989496 x^{12} + 7867872784032 x^{11} + 5300624795924 x^{10} - 3522617600307 x^{9} - 2593891521982 x^{8} + 842025983515 x^{7} + 645145821500 x^{6} - 97379198250 x^{5} - 71168573750 x^{4} + 4180068750 x^{3} + 2855312500 x^{2} - 13984375 x - 9765625$ $313^{38}$ $C_{39}$ (as 39T1) $[7]$ $77156139939904980000000000000000000000$
39.39.832...801.1 $x^{39} - 237 x^{37} - 158 x^{36} + 24885 x^{35} + 31758 x^{34} - 1521777 x^{33} - 2797074 x^{32} + 59981382 x^{31} + 142319290 x^{30} - 1593020385 x^{29} - 4645069176 x^{28} + 28911926408 x^{27} + 102131256564 x^{26} - 354430642254 x^{25} - 1546711782640 x^{24} + 2789344797921 x^{23} + 16230796918608 x^{22} - 11865055676615 x^{21} - 117384643087056 x^{20} + 1203314824617 x^{19} + 577307993368452 x^{18} + 284377372208856 x^{17} - 1897069485800418 x^{16} - 1634584478920060 x^{15} + 4091661940360473 x^{14} + 4742867841110748 x^{13} - 5697404621999031 x^{12} - 8186462453659176 x^{11} + 5033143416507438 x^{10} + 8729302726558491 x^{9} - 2808785515834836 x^{8} - 5719188124989093 x^{7} + 1072119182609331 x^{6} + 2216792963213496 x^{5} - 346349054137671 x^{4} - 464961302461611 x^{3} + 86786523385245 x^{2} + 39491507056968 x - 9364853836691$ $3^{52}\cdot 79^{38}$ $C_{39}$ (as 39T1) not computed
39.39.832...801.2 $x^{39} - 237 x^{37} - 158 x^{36} + 24885 x^{35} + 31758 x^{34} - 1521777 x^{33} - 2797074 x^{32} + 59981382 x^{31} + 142319290 x^{30} - 1593173961 x^{29} - 4645709076 x^{28} + 28932877445 x^{27} + 102241716102 x^{26} - 355443646614 x^{25} - 1553454595933 x^{24} + 2810177785458 x^{23} + 16432247086167 x^{22} - 11967377146298 x^{21} - 120635759398347 x^{20} - 1823113254630 x^{19} + 605746157617644 x^{18} + 341698986985275 x^{17} - 2017784741258409 x^{16} - 2057859861184228 x^{15} + 4196664129873231 x^{14} + 6285983642002179 x^{13} - 4725650025499719 x^{12} - 10914822027031086 x^{11} + 1465701883750416 x^{10} + 10558980638642454 x^{9} + 2159465693586741 x^{8} - 5293388896015467 x^{7} - 2202937031211426 x^{6} + 1157156267855625 x^{5} + 698944716032751 x^{4} - 59632171643934 x^{3} - 73740757923315 x^{2} - 5146532589771 x + 1075512295747$ $3^{52}\cdot 79^{38}$ $C_{39}$ (as 39T1) not computed
39.39.189...089.1 $x^{39} - 10 x^{38} - 117 x^{37} + 1248 x^{36} + 6574 x^{35} - 70508 x^{34} - 238767 x^{33} + 2376429 x^{32} + 6246879 x^{31} - 53084512 x^{30} - 122075225 x^{29} + 827367236 x^{28} + 1790293625 x^{27} - 9246368917 x^{26} - 19595581406 x^{25} + 75169877668 x^{24} + 158901467338 x^{23} - 447662704038 x^{22} - 947228275523 x^{21} + 1958725720367 x^{20} + 4113180518714 x^{19} - 6305779770878 x^{18} - 12855958984538 x^{17} + 14959051199327 x^{16} + 28441505512102 x^{15} - 26161675308530 x^{14} - 43445251987869 x^{13} + 33478011120120 x^{12} + 44089907326138 x^{11} - 30444285645115 x^{10} - 27975777878380 x^{9} + 18404264085338 x^{8} + 10144928480062 x^{7} - 6624071325699 x^{6} - 1906724813303 x^{5} + 1267027871999 x^{4} + 154439956714 x^{3} - 106661114208 x^{2} - 3009281044 x + 2198272487$ $13^{26}\cdot 79^{36}$ $C_{39}$ (as 39T1) not computed
39.39.156...969.1 $x^{39} - 10 x^{38} - 163 x^{37} + 1930 x^{36} + 10036 x^{35} - 159252 x^{34} - 244026 x^{33} + 7427095 x^{32} - 2389017 x^{31} - 217511108 x^{30} + 326735317 x^{29} + 4189088926 x^{28} - 10153118781 x^{27} - 53678089242 x^{26} + 179337849315 x^{25} + 446153115950 x^{24} - 2052054489049 x^{23} - 2151039397974 x^{22} + 15813321949956 x^{21} + 2821647348255 x^{20} - 82489984035674 x^{19} + 33701919033939 x^{18} + 286106777644803 x^{17} - 243663734729882 x^{16} - 630941672277082 x^{15} + 788875500248585 x^{14} + 805762979991898 x^{13} - 1416423805872644 x^{12} - 462194605752742 x^{11} + 1418910665071105 x^{10} - 50123800376408 x^{9} - 755859394498746 x^{8} + 182503268720113 x^{7} + 191800233365760 x^{6} - 72017807491341 x^{5} - 18496135085754 x^{4} + 9851455470329 x^{3} + 124863566729 x^{2} - 388373575025 x + 27293535527$ $7^{26}\cdot 131^{36}$ $C_{39}$ (as 39T1) not computed
39.39.118...449.1 $x^{39} - x^{38} - 354 x^{37} + 511 x^{36} + 56045 x^{35} - 103251 x^{34} - 5247131 x^{33} + 11548919 x^{32} + 323858271 x^{31} - 818077472 x^{30} - 13915010959 x^{29} + 39315623658 x^{28} + 428683737326 x^{27} - 1332897877353 x^{26} - 9615971778232 x^{25} + 32610615529383 x^{24} + 157954520735238 x^{23} - 583064031850378 x^{22} - 1895313576585435 x^{21} + 7659727015753552 x^{20} + 16422194396956823 x^{19} - 73899082723108593 x^{18} - 100210603740569843 x^{17} + 520414495467180616 x^{16} + 408676600606594002 x^{15} - 2642936340868695765 x^{14} - 971974365656650043 x^{13} + 9496075566431610394 x^{12} + 586468002053107902 x^{11} - 23471590571480299925 x^{10} + 3789203055222994557 x^{9} + 38292325977191105354 x^{8} - 12389487729343041691 x^{7} - 38551672930076472707 x^{6} + 17045767379408771012 x^{5} + 21043564296778861782 x^{4} - 11248804489468062285 x^{3} - 4368569542269920485 x^{2} + 2837239422181036677 x - 221647485396299581$ $13^{26}\cdot 79^{38}$ $C_{39}$ (as 39T1) not computed
39.39.118...449.2 $x^{39} - x^{38} - 354 x^{37} + 511 x^{36} + 56045 x^{35} - 103251 x^{34} - 5247131 x^{33} + 11548919 x^{32} + 323858271 x^{31} - 818077472 x^{30} - 13912915879 x^{29} + 39305918508 x^{28} + 428252335706 x^{27} - 1330679343737 x^{26} - 9579637340859 x^{25} + 32404331102658 x^{24} + 156314779697940 x^{23} - 572661461636511 x^{22} - 1851957964341868 x^{21} + 7341898588148461 x^{20} + 15740944592310945 x^{19} - 67699689278718824 x^{18} - 94298948980717131 x^{17} + 441371170652289465 x^{16} + 391057744594350035 x^{15} - 1980375180524138330 x^{14} - 1121115212503618422 x^{13} + 5873379572582775725 x^{12} + 2334047970653280778 x^{11} - 10818653588566378140 x^{10} - 3849139231012138630 x^{9} + 11165439791508447499 x^{8} + 4690051537532888413 x^{7} - 5357278100940296591 x^{6} - 2992545959704021257 x^{5} + 706803441870504299 x^{4} + 694897163472669662 x^{3} + 124066763635805181 x^{2} + 4291829198615412 x - 176560760826029$ $13^{26}\cdot 79^{38}$ $C_{39}$ (as 39T1) not computed
39.39.150...769.1 $x^{39} - 13 x^{38} - 182 x^{37} + 2730 x^{36} + 14677 x^{35} - 259233 x^{34} - 697762 x^{33} + 14757002 x^{32} + 22070763 x^{31} - 562769506 x^{30} - 502430448 x^{29} + 15217824882 x^{28} + 8836227920 x^{27} - 301252971368 x^{26} - 128531515099 x^{25} + 4444891875554 x^{24} + 1611389606593 x^{23} - 49312156872550 x^{22} - 17208326212714 x^{21} + 412126532724114 x^{20} + 148945309469346 x^{19} - 2584439781741701 x^{18} - 990752940639891 x^{17} + 12045290627585839 x^{16} + 4853248692356259 x^{15} - 41087556662763260 x^{14} - 16875632381268701 x^{13} + 100344648053329030 x^{12} + 39971524926664279 x^{11} - 170232014288977485 x^{10} - 60718951748161707 x^{9} + 192451677172291043 x^{8} + 52833922982995011 x^{7} - 136584375299797074 x^{6} - 19036514040517506 x^{5} + 55032005931718101 x^{4} - 2939818026931279 x^{3} - 9750856549065099 x^{2} + 2629380133737812 x - 141031288821697$ $7^{26}\cdot 13^{72}$ $C_{39}$ (as 39T1) not computed
39.39.110...889.1 $x^{39} - x^{38} - 266 x^{37} + 201 x^{36} + 30249 x^{35} - 20577 x^{34} - 1955719 x^{33} + 1451515 x^{32} + 80733464 x^{31} - 73319589 x^{30} - 2263189338 x^{29} + 2590988751 x^{28} + 44569388886 x^{27} - 63687593067 x^{26} - 626428894665 x^{25} + 1097818462656 x^{24} + 6291493806807 x^{23} - 13394812097448 x^{22} - 44496937680997 x^{21} + 116206956876955 x^{20} + 212799596796731 x^{19} - 715024587078660 x^{18} - 615613322642382 x^{17} + 3085798869034590 x^{16} + 605869572443830 x^{15} - 9130534820399395 x^{14} + 2644115229153457 x^{13} + 17760841353343332 x^{12} - 12225754395203670 x^{11} - 20865350159842410 x^{10} + 23224133468755773 x^{9} + 11651476867778808 x^{8} - 23071484201964822 x^{7} + 1000224610088400 x^{6} + 11129065111375902 x^{5} - 4226325744669057 x^{4} - 1602614683727208 x^{3} + 1322681130702459 x^{2} - 264907416527640 x + 15539564953953$ $547^{38}$ $C_{39}$ (as 39T1) $[2, 2]$ $6525765843490048000000000000000000000000000000$
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