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Label Polynomial Discriminant Galois group Class group Regulator
40.0.791...161.1 $x^{40} - x^{39} + x^{38} - x^{37} + x^{36} - x^{35} + x^{34} - x^{33} + x^{32} - x^{31} + x^{30} - x^{29} + x^{28} - x^{27} + x^{26} - x^{25} + x^{24} - x^{23} + x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ $41^{39}$ $C_{40}$ (as 40T1) $[11, 11]$ $310417721980536.1$
40.40.276...561.1 $x^{40} - x^{39} - 40 x^{38} + 40 x^{37} + 739 x^{36} - 739 x^{35} - 8363 x^{34} + 8363 x^{33} + 64822 x^{32} - 64822 x^{31} - 364530 x^{30} + 364530 x^{29} + 1536886 x^{28} - 1536886 x^{27} - 4950298 x^{26} + 4950298 x^{25} + 12299714 x^{24} - 12299714 x^{23} - 23637811 x^{22} + 23637811 x^{21} + 35021504 x^{20} - 35021504 x^{19} - 39635806 x^{18} + 39635806 x^{17} + 33734309 x^{16} - 33734309 x^{15} - 21091711 x^{14} + 21091711 x^{13} + 9367189 x^{12} - 9367189 x^{11} - 2816371 x^{10} + 2816371 x^{9} + 534108 x^{8} - 534108 x^{7} - 57153 x^{6} + 57153 x^{5} + 2830 x^{4} - 2830 x^{3} - 40 x^{2} + 40 x + 1$ $3^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) trivial $317481165057225300000000$
40.40.870...936.1 $x^{40} - 41 x^{38} + 779 x^{36} - 9102 x^{34} + 73185 x^{32} - 429352 x^{30} + 1901416 x^{28} - 6487184 x^{26} + 17250012 x^{24} - 35937525 x^{22} + 58659315 x^{20} - 74657310 x^{18} + 73370115 x^{16} - 54826020 x^{14} + 30458900 x^{12} - 12183560 x^{10} + 3350479 x^{8} - 591261 x^{6} + 59983 x^{4} - 2870 x^{2} + 41$ $2^{40}\cdot 41^{39}$ $C_{40}$ (as 40T1) trivial $6180661033584260000000000$
40.40.245...153.1 $x^{40} - x^{39} - 67 x^{38} + 62 x^{37} + 1981 x^{36} - 1692 x^{35} - 34203 x^{34} + 26871 x^{33} + 384678 x^{32} - 276856 x^{31} - 2977848 x^{30} + 1954887 x^{29} + 16351547 x^{28} - 9751872 x^{27} - 64712614 x^{26} + 34947020 x^{25} + 185791871 x^{24} - 90641480 x^{23} - 386729741 x^{22} + 170144186 x^{21} + 579752554 x^{20} - 229527510 x^{19} - 618396670 x^{18} + 219419444 x^{17} + 461405669 x^{16} - 145456360 x^{15} - 235839274 x^{14} + 64898604 x^{13} + 80705559 x^{12} - 18792058 x^{11} - 18043315 x^{10} + 3409848 x^{9} + 2547284 x^{8} - 373700 x^{7} - 214738 x^{6} + 23602 x^{5} + 9801 x^{4} - 796 x^{3} - 198 x^{2} + 12 x + 1$ $11^{32}\cdot 17^{35}$ $C_{40}$ (as 40T1) trivial $53402945065867880000000000$
40.0.755...625.1 $x^{40} - x^{39} + 42 x^{38} - 42 x^{37} + 821 x^{36} - 821 x^{35} + 9923 x^{34} - 9923 x^{33} + 83108 x^{32} - 83108 x^{31} + 512460 x^{30} - 512460 x^{29} + 2413876 x^{28} - 2413876 x^{27} + 8901060 x^{26} - 8901060 x^{25} + 26151072 x^{24} - 26151072 x^{23} + 62088597 x^{22} - 62088597 x^{21} + 120747912 x^{20} - 120747912 x^{19} + 195405222 x^{18} - 195405222 x^{17} + 268775337 x^{16} - 268775337 x^{15} + 323601357 x^{14} - 323601357 x^{13} + 354060257 x^{12} - 354060257 x^{11} + 366243817 x^{10} - 366243817 x^{9} + 369594296 x^{8} - 369594296 x^{7} + 370185557 x^{6} - 370185557 x^{5} + 370245540 x^{4} - 370245540 x^{3} + 370248410 x^{2} - 370248410 x + 370248451$ $5^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.631...161.1 $x^{40} - x^{39} - 81 x^{38} + 81 x^{37} + 3035 x^{36} - 3035 x^{35} - 69781 x^{34} + 69781 x^{33} + 1101179 x^{32} - 1101179 x^{31} - 12638085 x^{30} + 12638085 x^{29} + 109052539 x^{28} - 109052539 x^{27} - 721307013 x^{26} + 721307013 x^{25} + 3694696059 x^{24} - 3694696059 x^{23} - 14705316741 x^{22} + 14705316741 x^{21} + 45361821819 x^{20} - 45361821819 x^{19} - 107536349061 x^{18} + 107536349061 x^{17} + 192987641979 x^{16} - 192987641979 x^{15} - 256147113861 x^{14} + 256147113861 x^{13} + 242891503739 x^{12} - 242891503739 x^{11} - 156339390341 x^{10} + 156339390341 x^{9} + 63237601403 x^{8} - 63237601403 x^{7} - 14260160389 x^{6} + 14260160389 x^{5} + 1464023163 x^{4} - 1464023163 x^{3} - 40683397 x^{2} + 40683397 x + 2308219$ $7^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.964...528.1 $x^{40} + 72 x^{38} + 2292 x^{36} + 42688 x^{34} + 518914 x^{32} + 4350192 x^{30} + 25920664 x^{28} + 111555328 x^{26} + 349153248 x^{24} + 794852864 x^{22} + 1309625664 x^{20} + 1548248640 x^{18} + 1299305304 x^{16} + 765197952 x^{14} + 312117152 x^{12} + 86580736 x^{10} + 15867056 x^{8} + 1828864 x^{6} + 121280 x^{4} + 3840 x^{2} + 32$ $2^{155}\cdot 11^{32}$ $C_{40}$ (as 40T1) not computed
40.40.964...528.1 $x^{40} - 72 x^{38} + 2292 x^{36} - 42688 x^{34} + 518914 x^{32} - 4350192 x^{30} + 25920664 x^{28} - 111555328 x^{26} + 349153248 x^{24} - 794852864 x^{22} + 1309625664 x^{20} - 1548248640 x^{18} + 1299305304 x^{16} - 765197952 x^{14} + 312117152 x^{12} - 86580736 x^{10} + 15867056 x^{8} - 1828864 x^{6} + 121280 x^{4} - 3840 x^{2} + 32$ $2^{155}\cdot 11^{32}$ $C_{40}$ (as 40T1) trivial $1748425349013661700000000000$
40.0.359...073.1 $x^{40} - x^{39} + 18 x^{38} - 23 x^{37} - 25 x^{36} - 94 x^{35} - 1648 x^{34} + 1082 x^{33} - 2514 x^{32} + 7452 x^{31} + 49835 x^{30} - 7695 x^{29} + 121256 x^{28} - 161288 x^{27} - 314455 x^{26} - 45151 x^{25} - 499093 x^{24} + 2363548 x^{23} + 2079843 x^{22} + 10713834 x^{21} - 1044252 x^{20} - 12003364 x^{19} - 6008611 x^{18} - 193658014 x^{17} + 171913213 x^{16} - 251868115 x^{15} + 817022219 x^{14} + 965778567 x^{13} + 1932414069 x^{12} + 3192048789 x^{11} + 3767218658 x^{10} + 3389499394 x^{9} + 5822116569 x^{8} + 1107007524 x^{7} + 5463109687 x^{6} - 237856327 x^{5} + 2653892568 x^{4} + 41392946 x^{3} + 655492636 x^{2} + 29191834 x + 152206781$ $11^{36}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.0.912...136.1 $x^{40} + 82 x^{38} + 3116 x^{36} + 72816 x^{34} + 1170960 x^{32} + 13739264 x^{30} + 121690624 x^{28} + 830359552 x^{26} + 4416003072 x^{24} + 18400012800 x^{22} + 60067138560 x^{20} + 152898170880 x^{18} + 300523991040 x^{16} + 449134755840 x^{14} + 499038617600 x^{12} + 399230894080 x^{10} + 219576991744 x^{8} + 77497761792 x^{6} + 15724183552 x^{4} + 1504706560 x^{2} + 42991616$ $2^{60}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.912...136.1 $x^{40} - 82 x^{38} + 3116 x^{36} - 72816 x^{34} + 1170960 x^{32} - 13739264 x^{30} + 121690624 x^{28} - 830359552 x^{26} + 4416003072 x^{24} - 18400012800 x^{22} + 60067138560 x^{20} - 152898170880 x^{18} + 300523991040 x^{16} - 449134755840 x^{14} + 499038617600 x^{12} - 399230894080 x^{10} + 219576991744 x^{8} - 77497761792 x^{6} + 15724183552 x^{4} - 1504706560 x^{2} + 42991616$ $2^{60}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.532...361.1 $x^{40} - x^{39} - 122 x^{38} + 122 x^{37} + 6889 x^{36} - 6889 x^{35} - 238865 x^{34} + 238865 x^{33} + 5689120 x^{32} - 5689120 x^{31} - 98643416 x^{30} + 98643416 x^{29} + 1287488848 x^{28} - 1287488848 x^{27} - 12899982560 x^{26} + 12899982560 x^{25} + 100277346172 x^{24} - 100277346172 x^{23} - 607080958403 x^{22} + 607080958403 x^{21} + 2856692933032 x^{20} - 2856692933032 x^{19} - 10368625561538 x^{18} + 10368625561538 x^{17} + 28623261724177 x^{16} - 28623261724177 x^{15} - 58787122960283 x^{14} + 58787122960283 x^{13} + 86896851513817 x^{12} - 86896851513817 x^{11} - 87923917855103 x^{10} + 87923917855103 x^{9} + 56303216874256 x^{8} - 56303216874256 x^{7} - 20052325041287 x^{6} + 20052325041287 x^{5} + 3186318150400 x^{4} - 3186318150400 x^{3} - 149372259890 x^{2} + 149372259890 x - 6414099449$ $11^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.737...625.1 $x^{40} - x^{39} - 81 x^{38} + 81 x^{37} + 2912 x^{36} - 2912 x^{35} - 61458 x^{34} + 61458 x^{33} + 848906 x^{32} - 848332 x^{31} - 8102091 x^{30} + 8073965 x^{29} + 55012776 x^{28} - 54425902 x^{27} - 269774833 x^{26} + 262907702 x^{25} + 961216055 x^{24} - 911223361 x^{23} - 2487595418 x^{22} + 2249915999 x^{21} + 4652335232 x^{20} - 3897975986 x^{19} - 6230948923 x^{18} + 4623967699 x^{17} + 5896023902 x^{16} - 3617168339 x^{15} - 3860632446 x^{14} + 1758165812 x^{13} + 1689050228 x^{12} - 479757360 x^{11} - 463797329 x^{10} + 59850774 x^{9} + 71832862 x^{8} - 1368499 x^{7} - 5465258 x^{6} - 222713 x^{5} + 167076 x^{4} + 9347 x^{3} - 1393 x^{2} - 42 x + 1$ $5^{30}\cdot 41^{39}$ $C_{40}$ (as 40T1) $[4]$ $74107049573194715000000000000$
40.40.737...625.2 $x^{40} - x^{39} - 81 x^{38} + 81 x^{37} + 2912 x^{36} - 2912 x^{35} - 61458 x^{34} + 61458 x^{33} + 848906 x^{32} - 848332 x^{31} - 8102091 x^{30} + 8073965 x^{29} + 55012776 x^{28} - 54425902 x^{27} - 269774833 x^{26} + 262907702 x^{25} + 961216055 x^{24} - 911215161 x^{23} - 2487603618 x^{22} + 2249753639 x^{21} + 4652497592 x^{20} - 3896868576 x^{19} - 6232056333 x^{18} + 4621038454 x^{17} + 5898953147 x^{16} - 3615854084 x^{15} - 3862426401 x^{14} + 1764715152 x^{13} + 1685276998 x^{12} - 489437050 x^{11} - 459521029 x^{10} + 63804814 x^{9} + 71251482 x^{8} - 1368499 x^{7} - 5418518 x^{6} - 325213 x^{5} + 158876 x^{4} + 17547 x^{3} - 368 x^{2} - 42 x + 1$ $5^{30}\cdot 41^{39}$ $C_{40}$ (as 40T1) $[4]$ $64647138790255070000000000000$
40.40.141...448.1 $x^{40} - 88 x^{38} + 3476 x^{36} - 81664 x^{34} + 1275010 x^{32} - 14004496 x^{30} + 111779800 x^{28} - 660609664 x^{26} + 2919917792 x^{24} - 9689664512 x^{22} + 24119005504 x^{20} - 44817432000 x^{18} + 61669393368 x^{16} - 62138831744 x^{14} + 45166558624 x^{12} - 23198669824 x^{10} + 8169678000 x^{8} - 1881544192 x^{6} + 261429696 x^{4} - 18740480 x^{2} + 468512$ $2^{155}\cdot 11^{36}$ $C_{40}$ (as 40T1) not computed
40.0.141...448.1 $x^{40} + 88 x^{38} + 3476 x^{36} + 81664 x^{34} + 1275010 x^{32} + 14004496 x^{30} + 111779800 x^{28} + 660609664 x^{26} + 2919917792 x^{24} + 9689664512 x^{22} + 24119005504 x^{20} + 44817432000 x^{18} + 61669393368 x^{16} + 62138831744 x^{14} + 45166558624 x^{12} + 23198669824 x^{10} + 8169678000 x^{8} + 1881544192 x^{6} + 261429696 x^{4} + 18740480 x^{2} + 468512$ $2^{155}\cdot 11^{36}$ $C_{40}$ (as 40T1) not computed
40.0.303...336.1 $x^{40} + 123 x^{38} + 7011 x^{36} + 245754 x^{34} + 5927985 x^{32} + 104332536 x^{30} + 1386132264 x^{28} + 14187471408 x^{26} + 113177328732 x^{24} + 707358304575 x^{22} + 3463773891435 x^{20} + 13225318494570 x^{18} + 38991887285715 x^{16} + 87410384684460 x^{14} + 145683974474100 x^{12} + 174820769368920 x^{10} + 144227134729359 x^{8} + 76355541915543 x^{6} + 23238643191687 x^{4} + 3335690410290 x^{2} + 142958160441$ $2^{40}\cdot 3^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.150...961.1 $x^{40} - x^{39} + 124 x^{38} - 124 x^{37} + 7135 x^{36} - 7135 x^{35} + 252889 x^{34} - 252889 x^{33} + 6180874 x^{32} - 6180874 x^{31} + 110513410 x^{30} - 110513410 x^{29} + 1496645674 x^{28} - 1496645674 x^{27} + 15684117082 x^{26} - 15684117082 x^{25} + 128861445814 x^{24} - 128861445814 x^{23} + 836219750389 x^{22} - 836219750389 x^{21} + 4299993641824 x^{20} - 4299993641824 x^{19} + 17525312136394 x^{18} - 17525312136394 x^{17} + 56517199422109 x^{16} - 56517199422109 x^{15} + 143927584106569 x^{14} - 143927584106569 x^{13} + 289611558580669 x^{12} - 289611558580669 x^{11} + 464432327949589 x^{10} - 464432327949589 x^{9} + 608659462678948 x^{8} - 608659462678948 x^{7} + 685015004594491 x^{6} - 685015004594491 x^{5} + 708253647786178 x^{4} - 708253647786178 x^{3} + 711589338196468 x^{2} - 711589338196468 x + 711732296356909$ $13^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.856...353.1 $x^{40} - 3 x^{39} + 17 x^{38} - 18 x^{37} + 99 x^{36} + 280 x^{35} - 1133 x^{34} + 10722 x^{33} - 17246 x^{32} + 75618 x^{31} + 89898 x^{30} - 223678 x^{29} + 3025727 x^{28} - 5004522 x^{27} + 18709105 x^{26} + 13416566 x^{25} - 12029980 x^{24} + 352256790 x^{23} + 11507039 x^{22} + 354600620 x^{21} + 2329164546 x^{20} + 5850180293 x^{19} + 7741540618 x^{18} + 11469428513 x^{17} + 62706387315 x^{16} + 45371379782 x^{15} + 281478246442 x^{14} + 100840883446 x^{13} + 854529788449 x^{12} + 587465997768 x^{11} + 1693306660912 x^{10} + 2290141206741 x^{9} + 3347002683342 x^{8} + 3991924932655 x^{7} + 4254453066613 x^{6} + 2892780488084 x^{5} + 4483561154497 x^{4} - 1907601398814 x^{3} + 2069517788169 x^{2} - 2418718157 x + 465327060067$ $3^{20}\cdot 11^{32}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.40.263...625.1 $x^{40} - x^{39} - 163 x^{38} + 163 x^{37} + 12301 x^{36} - 12301 x^{35} - 570227 x^{34} + 570227 x^{33} + 18165133 x^{32} - 18165133 x^{31} - 421491315 x^{30} + 421491315 x^{29} + 7366708621 x^{28} - 7366708621 x^{27} - 98919314035 x^{26} + 98919314035 x^{25} + 1031577472397 x^{24} - 1031577472397 x^{23} - 8389229081203 x^{22} + 8389229081203 x^{21} + 53119520804237 x^{20} - 53119520804237 x^{19} - 260015933158003 x^{18} + 260015933158003 x^{17} + 970930334141837 x^{16} - 970930334141837 x^{15} - 2708381585699443 x^{14} + 2708381585699443 x^{13} + 5467867125058957 x^{12} - 5467867125058957 x^{11} - 7614130812154483 x^{10} + 7614130812154483 x^{9} + 6776066918780301 x^{8} - 6776066918780301 x^{7} - 3381719714820723 x^{6} + 3381719714820723 x^{5} + 740280658234765 x^{4} - 740280658234765 x^{3} - 48618934694515 x^{2} + 48618934694515 x - 3538957955699$ $3^{20}\cdot 5^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.321...761.1 $x^{40} - x^{39} + 165 x^{38} - 165 x^{37} + 12629 x^{36} - 12629 x^{35} + 595157 x^{34} - 595157 x^{33} + 19330517 x^{32} - 19330517 x^{31} + 458986965 x^{30} - 458986965 x^{29} + 8247186901 x^{28} - 8247186901 x^{27} + 114533209557 x^{26} - 114533209557 x^{25} + 1245029995989 x^{24} - 1245029995989 x^{23} + 10665836549589 x^{22} - 10665836549589 x^{21} + 72174586435029 x^{20} - 72174586435029 x^{19} + 385310040397269 x^{18} - 385310040397269 x^{17} + 1616256307697109 x^{16} - 1616256307697109 x^{15} + 5295568227538389 x^{14} - 5295568227538389 x^{13} + 13471816938296789 x^{12} - 13471816938296789 x^{11} + 26553814875510229 x^{10} - 26553814875510229 x^{9} + 40944012606445013 x^{8} - 40944012606445013 x^{7} + 51101799240046037 x^{6} - 51101799240046037 x^{5} + 55223799613101525 x^{4} - 55223799613101525 x^{3} + 56012699206030805 x^{2} - 56012699206030805 x + 56057779182769621$ $17^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.630...625.1 $x^{40} - 5 x^{39} - 105 x^{38} + 500 x^{37} + 4955 x^{36} - 22094 x^{35} - 139325 x^{34} + 571320 x^{33} + 2609590 x^{32} - 9655440 x^{31} - 34503692 x^{30} + 112830010 x^{29} + 333224725 x^{28} - 940576570 x^{27} - 2400623515 x^{26} + 5686194526 x^{25} + 13060739610 x^{24} - 25070547550 x^{23} - 53940046905 x^{22} + 80258980940 x^{21} + 168812732530 x^{20} - 183419877685 x^{19} - 396720671620 x^{18} + 288115234125 x^{17} + 687800308605 x^{16} - 284987100906 x^{15} - 855026205860 x^{14} + 131445427210 x^{13} + 729886520165 x^{12} + 41301908330 x^{11} - 400803896176 x^{10} - 88397056585 x^{9} + 128198823150 x^{8} + 44436502095 x^{7} - 20491798285 x^{6} - 9524536784 x^{5} + 1075428145 x^{4} + 788314970 x^{3} + 32750635 x^{2} - 12223285 x - 838099$ $5^{64}\cdot 17^{35}$ $C_{40}$ (as 40T1) trivial $21383108027423993000000000000000$
40.0.270...728.1 $x^{40} - 8 x^{39} + 81 x^{38} - 454 x^{37} + 2779 x^{36} - 12440 x^{35} + 56478 x^{34} - 208476 x^{33} + 754326 x^{32} - 2344388 x^{31} + 7091042 x^{30} - 19092008 x^{29} + 50793319 x^{28} - 123767000 x^{27} + 298767088 x^{26} - 660339502 x^{25} + 1384198966 x^{24} - 2619859530 x^{23} + 4973214309 x^{22} - 9076857412 x^{21} + 15448166026 x^{20} - 22717103912 x^{19} + 33125100001 x^{18} - 49494225514 x^{17} + 78918556883 x^{16} - 123303398832 x^{15} + 268482814901 x^{14} - 595112355756 x^{13} + 1440254211391 x^{12} - 2671218205910 x^{11} + 4545984492009 x^{10} - 6336623254368 x^{9} + 9047878512315 x^{8} - 10142784370356 x^{7} + 8433409097319 x^{6} - 4559521282816 x^{5} + 1607344773987 x^{4} - 2505536851550 x^{3} + 12397651013143 x^{2} - 7055343934776 x + 3628584369937$ $2^{40}\cdot 11^{32}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.40.297...761.1 $x^{40} - x^{39} - 204 x^{38} + 204 x^{37} + 19271 x^{36} - 19271 x^{35} - 1118479 x^{34} + 1118479 x^{33} + 44622146 x^{32} - 44622146 x^{31} - 1297102854 x^{30} + 1297102854 x^{29} + 28412522146 x^{28} - 28412522146 x^{27} - 478398727854 x^{26} + 478398727854 x^{25} + 6259887209646 x^{24} - 6259887209646 x^{23} - 63930591305979 x^{22} + 63930591305979 x^{21} + 508914281740896 x^{20} - 508914281740896 x^{19} - 3136462183102854 x^{18} + 3136462183102854 x^{17} + 14776163549319021 x^{16} - 14776163549319021 x^{15} - 52150130395993479 x^{14} + 52150130395993479 x^{13} + 133756241674319021 x^{12} - 133756241674319021 x^{11} - 238056502466305979 x^{10} + 238056502466305979 x^{9} + 273186020727053396 x^{8} - 273186020727053396 x^{7} - 177910323267087229 x^{6} + 177910323267087229 x^{5} + 50906662816897146 x^{4} - 50906662816897146 x^{3} - 3834242944821604 x^{2} + 3834242944821604 x + 75821752444021$ $19^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.830...000.1 $x^{40} - 205 x^{38} + 19475 x^{36} - 1137750 x^{34} + 45740625 x^{32} - 1341725000 x^{30} + 29709625000 x^{28} - 506811250000 x^{26} + 6738285937500 x^{24} - 70190478515625 x^{22} + 572844873046875 x^{20} - 3645376464843750 x^{18} + 17912625732421875 x^{16} - 66926293945312500 x^{14} + 185906372070312500 x^{12} - 371812744140625000 x^{10} + 511242523193359375 x^{8} - 451096343994140625 x^{6} + 228816986083984375 x^{4} - 54740905761718750 x^{2} + 3910064697265625$ $2^{40}\cdot 5^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.220...561.1 $x^{40} - x^{39} + 206 x^{38} - 206 x^{37} + 19681 x^{36} - 19681 x^{35} + 1157431 x^{34} - 1157431 x^{33} + 46898056 x^{32} - 46898056 x^{31} + 1388623056 x^{30} - 1388623056 x^{29} + 31098248056 x^{28} - 31098248056 x^{27} + 537909498056 x^{26} - 537909498056 x^{25} + 7276195435556 x^{24} - 7276195435556 x^{23} + 77466673951181 x^{22} - 77466673951181 x^{21} + 650311546998056 x^{20} - 650311546998056 x^{19} + 4295688011841806 x^{18} - 4295688011841806 x^{17} + 22208313744263681 x^{16} - 22208313744263681 x^{15} + 89134607689576181 x^{14} - 89134607689576181 x^{13} + 275040979759888681 x^{12} - 275040979759888681 x^{11} + 646853723900513681 x^{10} - 646853723900513681 x^{9} + 1158096247093873056 x^{8} - 1158096247093873056 x^{7} + 1609192591088013681 x^{6} - 1609192591088013681 x^{5} + 1838009577171998056 x^{4} - 1838009577171998056 x^{3} + 1892750482933716806 x^{2} - 1892750482933716806 x + 1896660547630982431$ $3^{20}\cdot 7^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.591...321.1 $x^{40} - 3 x^{39} - 18 x^{38} + 108 x^{37} + 223 x^{36} - 2028 x^{35} + 2573 x^{34} + 9011 x^{33} - 8520 x^{32} - 83186 x^{31} + 336531 x^{30} - 1070856 x^{29} + 4064715 x^{28} - 14112225 x^{27} + 42858754 x^{26} - 145267570 x^{25} + 457628814 x^{24} - 1319976263 x^{23} + 3574297374 x^{22} - 9226542891 x^{21} + 22442317148 x^{20} - 52307277171 x^{19} + 116881460464 x^{18} - 226543347560 x^{17} + 434127034021 x^{16} - 786069579780 x^{15} + 1249029264466 x^{14} - 1715763878977 x^{13} + 2167339669831 x^{12} - 2550582941805 x^{11} + 800896596388 x^{10} + 397170019371 x^{9} - 2917951840654 x^{8} + 7578192596520 x^{7} + 1372645832422 x^{6} + 7630270834549 x^{5} + 7111255666458 x^{4} - 29182251573759 x^{3} + 6513363586559 x^{2} + 6294547903777 x + 2983509962179$ $11^{32}\cdot 41^{35}$ $C_{40}$ (as 40T1) not computed
40.40.125...273.1 $x^{40} - x^{39} - 169 x^{38} + 164 x^{37} + 12691 x^{36} - 11875 x^{35} - 563770 x^{34} + 505047 x^{33} + 16641982 x^{32} - 14163595 x^{31} - 347475640 x^{30} + 278361814 x^{29} + 5329207425 x^{28} - 3971508525 x^{27} - 61490161599 x^{26} + 41984561293 x^{25} + 541800127879 x^{24} - 332258193740 x^{23} - 3676141757622 x^{22} + 1972195023941 x^{21} + 19263753417689 x^{20} - 8723038714906 x^{19} - 77799928955137 x^{18} + 28251138253118 x^{17} + 240398315372500 x^{16} - 64633390154843 x^{15} - 560776551917371 x^{14} + 96526851715894 x^{13} + 966867236860220 x^{12} - 73261636886553 x^{11} - 1193088872781988 x^{10} - 19657957772667 x^{9} + 1002593035021561 x^{8} + 99785910037161 x^{7} - 529199446717775 x^{6} - 87683463878301 x^{5} + 151892844636343 x^{4} + 30373994353352 x^{3} - 17785593138966 x^{2} - 2824636354242 x + 659293725553$ $3^{20}\cdot 11^{36}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.40.135...361.1 $x^{40} - x^{39} - 245 x^{38} + 245 x^{37} + 27799 x^{36} - 27799 x^{35} - 1938233 x^{34} + 1938233 x^{33} + 92909527 x^{32} - 92909527 x^{31} - 3245731625 x^{30} + 3245731625 x^{29} + 85466733271 x^{28} - 85466733271 x^{27} - 1730529606953 x^{26} + 1730529606953 x^{25} + 27242866548439 x^{24} - 27242866548439 x^{23} - 334924585393961 x^{22} + 334924585393961 x^{21} + 3211979879435479 x^{20} - 3211979879435479 x^{19} - 23873472397443881 x^{18} + 23873472397443881 x^{17} + 135837297924844759 x^{16} - 135837297924844759 x^{15} - 580228573410251561 x^{14} + 580228573410251561 x^{13} + 1806657664373402839 x^{12} - 1806657664373402839 x^{11} - 3921869306307367721 x^{10} + 3921869306307367721 x^{9} + 5530200195315903703 x^{8} - 5530200195315903703 x^{7} - 4477873394638148393 x^{6} + 4477873394638148393 x^{5} + 1613997486203448535 x^{4} - 1613997486203448535 x^{3} - 134864967626674985 x^{2} + 134864967626674985 x + 15037528415907031$ $23^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.234...625.1 $x^{40} - 3 x^{39} - 153 x^{38} + 424 x^{37} + 10435 x^{36} - 26104 x^{35} - 422087 x^{34} + 928824 x^{33} + 11344024 x^{32} - 21340302 x^{31} - 214673754 x^{30} + 334559600 x^{29} + 2952971467 x^{28} - 3683043942 x^{27} - 30025251733 x^{26} + 28841721208 x^{25} + 227220142820 x^{24} - 161003561620 x^{23} - 1279418767795 x^{22} + 637078046638 x^{21} + 5328173642850 x^{20} - 1770142272603 x^{19} - 16230752948952 x^{18} + 3444167779449 x^{17} + 35584533352769 x^{16} - 4842006085510 x^{15} - 54915618366102 x^{14} + 5434842226712 x^{13} + 57856494632629 x^{12} - 5328728706700 x^{11} - 39827070645512 x^{10} + 4123513230427 x^{9} + 16811606265180 x^{8} - 2042316034583 x^{7} - 3968102247745 x^{6} + 551974490536 x^{5} + 443309788137 x^{4} - 62108079736 x^{3} - 14574899705 x^{2} + 582845329 x + 99452651$ $5^{20}\cdot 11^{32}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.0.318...536.1 $x^{40} + 246 x^{38} + 28044 x^{36} + 1966032 x^{34} + 94847760 x^{32} + 3338641152 x^{30} + 88712464896 x^{28} + 1815996340224 x^{26} + 28973396155392 x^{24} + 362167451942400 x^{22} + 3546904464829440 x^{20} + 27085452276879360 x^{18} + 159710770322288640 x^{16} + 716065871335096320 x^{14} + 2386886237783654400 x^{12} + 5728526970680770560 x^{10} + 9452069501623271424 x^{8} + 10008073589954052096 x^{6} + 6091870880841596928 x^{4} + 1748862453830123520 x^{2} + 149902496042582016$ $2^{60}\cdot 3^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.318...536.1 $x^{40} - 246 x^{38} + 28044 x^{36} - 1966032 x^{34} + 94847760 x^{32} - 3338641152 x^{30} + 88712464896 x^{28} - 1815996340224 x^{26} + 28973396155392 x^{24} - 362167451942400 x^{22} + 3546904464829440 x^{20} - 27085452276879360 x^{18} + 159710770322288640 x^{16} - 716065871335096320 x^{14} + 2386886237783654400 x^{12} - 5728526970680770560 x^{10} + 9452069501623271424 x^{8} - 10008073589954052096 x^{6} + 6091870880841596928 x^{4} - 1748862453830123520 x^{2} + 149902496042582016$ $2^{60}\cdot 3^{20}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.394...625.1 $x^{40} - 150 x^{38} - 20 x^{37} + 9785 x^{36} + 2524 x^{35} - 369675 x^{34} - 135890 x^{33} + 9064985 x^{32} + 4178520 x^{31} - 153008214 x^{30} - 82534925 x^{29} + 1837625615 x^{28} + 1113003605 x^{27} - 15996134070 x^{26} - 10603222817 x^{25} + 101793747900 x^{24} + 72677138515 x^{23} - 474001671100 x^{22} - 360886694255 x^{21} + 1605598178486 x^{20} + 1294784673650 x^{19} - 3906118505605 x^{18} - 3317484482190 x^{17} + 6686541773025 x^{16} + 5946130517703 x^{15} - 7817807874825 x^{14} - 7234784909160 x^{13} + 5987699870315 x^{12} + 5736709316575 x^{11} - 2825680076104 x^{10} - 2799968295700 x^{9} + 740664948050 x^{8} + 768129252655 x^{7} - 85891607135 x^{6} - 98863237441 x^{5} + 2093555025 x^{4} + 3573593490 x^{3} - 221351785 x^{2} - 8630265 x + 544001$ $5^{68}\cdot 17^{35}$ $C_{40}$ (as 40T1) $[2]$ $342927919181953960000000000000000$
40.40.615...073.1 $x^{40} - 3 x^{39} - 132 x^{38} + 491 x^{37} + 7311 x^{36} - 33175 x^{35} - 217189 x^{34} + 1232961 x^{33} + 3593237 x^{32} - 28126532 x^{31} - 27292390 x^{30} + 414369326 x^{29} - 99144751 x^{28} - 4020136266 x^{27} + 4527382403 x^{26} + 25441334676 x^{25} - 49823950670 x^{24} - 98463886324 x^{23} + 309638493767 x^{22} + 171991889278 x^{21} - 1207693270676 x^{20} + 298800505505 x^{19} + 2956877035321 x^{18} - 2528331564584 x^{17} - 4160499417738 x^{16} + 6581725976666 x^{15} + 2118390327104 x^{14} - 8923437470982 x^{13} + 2547146818876 x^{12} + 6091228711870 x^{11} - 4661863412887 x^{10} - 1217776950271 x^{9} + 2592852169237 x^{8} - 661006520620 x^{7} - 417886545699 x^{6} + 275605157518 x^{5} - 35257572669 x^{4} - 12058221917 x^{3} + 3946372271 x^{2} - 321122038 x + 3549191$ $17^{35}\cdot 31^{32}$ $C_{40}$ (as 40T1) trivial $827091053965112800000000000000000$
40.40.247...000.1 $x^{40} - 120 x^{38} - 40 x^{37} + 6340 x^{36} + 3912 x^{35} - 194900 x^{34} - 166560 x^{33} + 3889530 x^{32} + 4096920 x^{31} - 53314820 x^{30} - 65210600 x^{29} + 518290750 x^{28} + 712912200 x^{27} - 3636420600 x^{26} - 5540454608 x^{25} + 18533680680 x^{24} + 31210475400 x^{23} - 68313418100 x^{22} - 128571053760 x^{21} + 178661216010 x^{20} + 387281514680 x^{19} - 316466541100 x^{18} - 845333306000 x^{17} + 334604461485 x^{16} + 1311230967664 x^{15} - 103103625460 x^{14} - 1397365920280 x^{13} - 232021627260 x^{12} + 967195870520 x^{11} + 350891999212 x^{10} - 394883968040 x^{9} - 213096967350 x^{8} + 79666196680 x^{7} + 61123001360 x^{6} - 5491302248 x^{5} - 8286865580 x^{4} - 260231040 x^{3} + 473512880 x^{2} + 33598000 x - 7065151$ $2^{155}\cdot 5^{64}$ $C_{40}$ (as 40T1) not computed
40.0.247...000.1 $x^{40} - 40 x^{38} - 40 x^{37} + 900 x^{36} + 1672 x^{35} - 11700 x^{34} - 33920 x^{33} + 81930 x^{32} + 379800 x^{31} - 78724 x^{30} - 1961800 x^{29} - 2560530 x^{28} - 2972280 x^{27} - 1770600 x^{26} + 69800656 x^{25} + 250735080 x^{24} + 147441800 x^{23} - 784035060 x^{22} - 2886776160 x^{21} - 8350542790 x^{20} - 14408043720 x^{19} + 7164633700 x^{18} + 98298463440 x^{17} + 311962861885 x^{16} + 814589947504 x^{15} + 1776800162220 x^{14} + 2936143110440 x^{13} + 4374222306100 x^{12} + 6270629134200 x^{11} + 7027301397004 x^{10} + 6325901267000 x^{9} + 7771368207770 x^{8} + 5724743244360 x^{7} - 354140085200 x^{6} + 4230971709432 x^{5} + 2661174194900 x^{4} - 4366092477120 x^{3} + 9788898037200 x^{2} - 2465305466960 x + 1366145797057$ $2^{155}\cdot 5^{64}$ $C_{40}$ (as 40T1) not computed
40.0.985...625.1 $x^{40} + 20 x^{38} - 20 x^{37} + 10 x^{36} - 196 x^{35} - 1625 x^{34} - 17400 x^{33} + 7980 x^{32} + 143740 x^{31} + 318135 x^{30} + 151800 x^{29} + 5529240 x^{28} - 12827600 x^{27} - 123757160 x^{26} - 79265734 x^{25} + 1403435825 x^{24} + 1358565880 x^{23} - 8782869650 x^{22} - 8176445270 x^{21} + 53559624544 x^{20} - 4997652650 x^{19} - 155085987725 x^{18} - 84112241490 x^{17} + 575725415105 x^{16} - 580988576654 x^{15} + 2538338473275 x^{14} - 4985730273150 x^{13} - 157474304795 x^{12} + 7157675366740 x^{11} + 4518420951700 x^{10} - 24765664575250 x^{9} + 35443876926040 x^{8} - 1070372365600 x^{7} - 43870930331110 x^{6} - 35159334705046 x^{5} + 191987951051725 x^{4} - 39814065914410 x^{3} - 94147177754785 x^{2} - 16652310011540 x + 235624219995851$ $5^{70}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.0.985...625.2 $x^{40} + 20 x^{38} - 65 x^{37} + 10 x^{36} - 484 x^{35} + 2625 x^{34} + 3800 x^{33} - 4175 x^{32} - 98775 x^{31} + 161395 x^{30} + 796375 x^{29} + 483640 x^{28} - 23356305 x^{27} + 28158920 x^{26} + 140034529 x^{25} - 187379125 x^{24} - 1632459680 x^{23} + 5343583885 x^{22} + 4195070685 x^{21} - 36569530966 x^{20} - 11815599375 x^{19} + 289463727950 x^{18} - 423395127475 x^{17} - 310481889800 x^{16} + 544751654689 x^{15} + 5267826745750 x^{14} - 10197961852375 x^{13} - 10144826464550 x^{12} + 61348584853325 x^{11} - 42312650380770 x^{10} - 84300057675375 x^{9} + 175271153169940 x^{8} + 110255235330495 x^{7} - 136647868301930 x^{6} + 14763856914996 x^{5} + 768543708596375 x^{4} + 677168823181435 x^{3} + 226016395440355 x^{2} + 596008027834280 x + 425077129297501$ $5^{70}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.40.395...648.1 $x^{40} - 187 x^{38} + 14960 x^{36} - 680119 x^{34} + 19741777 x^{32} - 390041047 x^{30} + 5454569527 x^{28} - 55335959701 x^{26} + 413297142302 x^{24} - 2289732248573 x^{22} + 9425882445199 x^{20} - 28741268505675 x^{18} + 64435213817040 x^{16} - 105031396902212 x^{14} + 122647277393476 x^{12} - 100614642637531 x^{10} + 56373730133061 x^{8} - 20621821326304 x^{6} + 4552599667803 x^{4} - 519703158425 x^{2} + 20788126337$ $2^{40}\cdot 11^{36}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
40.40.791...961.1 $x^{40} - x^{39} - 117 x^{38} + 266 x^{37} + 5846 x^{36} - 20795 x^{35} - 154004 x^{34} + 805173 x^{33} + 2017454 x^{32} - 18000417 x^{31} - 2444367 x^{30} + 242355969 x^{29} - 343663904 x^{28} - 1873656945 x^{27} + 5665050430 x^{26} + 5894662747 x^{25} - 44725563816 x^{24} + 26279858791 x^{23} + 185760479102 x^{22} - 342545845423 x^{21} - 282043804802 x^{20} + 1427449558069 x^{19} - 773852923584 x^{18} - 2631925107619 x^{17} + 4208077717876 x^{16} + 725534929213 x^{15} - 6999751493326 x^{14} + 4874293451523 x^{13} + 3782436965348 x^{12} - 7172445430563 x^{11} + 2037623248587 x^{10} + 3136334311404 x^{9} - 2884228121083 x^{8} + 355416625523 x^{7} + 703700081156 x^{6} - 423646947804 x^{5} + 78423697390 x^{4} + 9564696070 x^{3} - 6144761956 x^{2} + 889846556 x - 42398647$ $241^{39}$ $C_{40}$ (as 40T1) trivial $10179140078250820000000000000000000$
40.0.257...625.1 $x^{40} - x^{39} + 124 x^{38} - 124 x^{37} + 7012 x^{36} - 7012 x^{35} + 240097 x^{34} - 240097 x^{33} + 5574976 x^{32} - 5376372 x^{31} + 92995709 x^{30} - 78880475 x^{29} + 1149650661 x^{28} - 708307227 x^{27} + 10667680367 x^{26} - 2635382093 x^{25} + 74221479755 x^{24} + 20656779489 x^{23} + 391080209537 x^{22} + 374577277149 x^{21} + 1667463255747 x^{20} + 2439729542599 x^{19} + 6863290838977 x^{18} + 6441258854089 x^{17} + 31331789305707 x^{16} - 16855830885599 x^{15} + 130851731111589 x^{14} - 198878023330753 x^{13} + 384127993592353 x^{12} - 809524141582265 x^{11} + 981457707491651 x^{10} - 2123476624106486 x^{9} + 1677351149902602 x^{8} - 1688152152008229 x^{7} + 993191448858927 x^{6} + 1193559121738297 x^{5} + 3136566348555861 x^{4} + 2380750276136282 x^{3} + 3726026839013002 x^{2} + 2025170081972593 x + 633123877320301$ $3^{20}\cdot 5^{30}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.0.257...625.2 $x^{40} - x^{39} + 124 x^{38} - 124 x^{37} + 7012 x^{36} - 7012 x^{35} + 240097 x^{34} - 240097 x^{33} + 5574976 x^{32} - 5720772 x^{31} + 93334574 x^{30} - 104791040 x^{29} + 1172140596 x^{28} - 1568833062 x^{27} + 11422194347 x^{26} - 19432835273 x^{25} + 89224845710 x^{24} - 194310650766 x^{23} + 576840714152 x^{22} - 1516501091706 x^{21} + 3206539430637 x^{20} - 9151786436531 x^{19} + 16094141788462 x^{18} - 42757497219236 x^{17} + 74212086326247 x^{16} - 152603475042569 x^{15} + 285666255020364 x^{14} - 420566608104163 x^{13} + 928410998409598 x^{12} - 1083179630800745 x^{11} + 2344829538262466 x^{10} - 2405851443375566 x^{9} + 4676026596474957 x^{8} - 4280457210793119 x^{7} + 7349903670692052 x^{6} - 5298658022264528 x^{5} + 8303592867364986 x^{4} - 4690776216015868 x^{3} + 5999967247127527 x^{2} - 993635057195657 x + 1046897887263301$ $3^{20}\cdot 5^{30}\cdot 41^{39}$ $C_{40}$ (as 40T1) not computed
40.40.866...761.1 $x^{40} - x^{39} - 182 x^{38} + 149 x^{37} + 14732 x^{36} - 9225 x^{35} - 702023 x^{34} + 299068 x^{33} + 21973660 x^{32} - 4888126 x^{31} - 477317920 x^{30} + 9891142 x^{29} + 7412595190 x^{28} + 1285641773 x^{27} - 83554070211 x^{26} - 29612222037 x^{25} + 687343411930 x^{24} + 355617562928 x^{23} - 4120100861192 x^{22} - 2714880001603 x^{21} + 17872484655070 x^{20} + 13892811602773 x^{19} - 55502093143016 x^{18} - 48418597598304 x^{17} + 121733371270573 x^{16} + 114997502474284 x^{15} - 185783264828648 x^{14} - 184740552515931 x^{13} + 194240735747798 x^{12} + 198156386856276 x^{11} - 136554026797958 x^{10} - 139013959476678 x^{9} + 62666288988301 x^{8} + 61550556216771 x^{7} - 17709190836164 x^{6} - 16130526843214 x^{5} + 2692795914640 x^{4} + 2212577682649 x^{3} - 145962994111 x^{2} - 118971591850 x - 2072694073$ $11^{36}\cdot 41^{35}$ $C_{40}$ (as 40T1) not computed
40.40.919...000.1 $x^{40} - 8 x^{39} - 204 x^{38} + 1712 x^{37} + 18562 x^{36} - 165248 x^{35} - 996144 x^{34} + 9545088 x^{33} + 35104575 x^{32} - 369155336 x^{31} - 854680156 x^{30} + 10134253432 x^{29} + 14681802538 x^{28} - 204288312968 x^{27} - 177222835520 x^{26} + 3085601525144 x^{25} + 1438538919856 x^{24} - 35318559788544 x^{23} - 6577737720504 x^{22} + 307816033436648 x^{21} - 2349342771836 x^{20} - 2040927491724992 x^{19} + 281565079848076 x^{18} + 10229996196094064 x^{17} - 2249920559167117 x^{16} - 38294083942738200 x^{15} + 10118341159568696 x^{14} + 105010062546234984 x^{13} - 29250529873849130 x^{12} - 205068449381240432 x^{11} + 55055961501360072 x^{10} + 273921377626897056 x^{9} - 65155892574199161 x^{8} - 236372195822350416 x^{7} + 44769231158906736 x^{6} + 121275201011881016 x^{5} - 15435513452886198 x^{4} - 32206098229064336 x^{3} + 2122743649838668 x^{2} + 3180520992223416 x - 133762533290849$ $2^{155}\cdot 5^{20}\cdot 11^{32}$ $C_{40}$ (as 40T1) not computed
40.0.919...000.1 $x^{40} - 8 x^{39} + 196 x^{38} - 1328 x^{37} + 17842 x^{36} - 105088 x^{35} + 1006496 x^{34} - 5232512 x^{33} + 39432415 x^{32} - 182623496 x^{31} + 1137446244 x^{30} - 4718479848 x^{29} + 24970015418 x^{28} - 93034822728 x^{27} + 425189311920 x^{26} - 1423709835656 x^{25} + 5672202781136 x^{24} - 17046975185024 x^{23} + 59482075201096 x^{22} - 159957215701272 x^{21} + 489335533088804 x^{20} - 1171738568154112 x^{19} + 3138679423984556 x^{18} - 6653015951663376 x^{17} + 15620944186704963 x^{16} - 29262704404706840 x^{15} + 61489614112054296 x^{14} - 103996373551496376 x^{13} + 210820337169176950 x^{12} - 342216969473620912 x^{11} + 728375723204923992 x^{10} - 1147210272018355104 x^{9} + 2365456957824375879 x^{8} - 3222210111441488976 x^{7} + 5317253886648497056 x^{6} - 5451794249717719944 x^{5} + 6818698319706763242 x^{4} - 5123857830305345616 x^{3} + 9825430597065036188 x^{2} - 4939288609931078664 x + 5424210633452270351$ $2^{155}\cdot 5^{20}\cdot 11^{32}$ $C_{40}$ (as 40T1) not computed
40.0.154...000.1 $x^{40} + 160 x^{38} + 10400 x^{36} + 362000 x^{34} + 7514000 x^{32} + 98237040 x^{30} + 837321800 x^{28} + 4787672000 x^{26} + 18826410000 x^{24} + 51916276000 x^{22} + 101730962000 x^{20} + 142586040000 x^{18} + 142941685000 x^{16} + 101779400000 x^{14} + 50709240000 x^{12} + 17243312000 x^{10} + 3851460000 x^{8} + 533600000 x^{6} + 42000000 x^{4} + 1600000 x^{2} + 20000$ $2^{155}\cdot 5^{68}$ $C_{40}$ (as 40T1) not computed
40.40.154...000.1 $x^{40} - 160 x^{38} + 10400 x^{36} - 362000 x^{34} + 7514000 x^{32} - 98237040 x^{30} + 837321800 x^{28} - 4787672000 x^{26} + 18826410000 x^{24} - 51916276000 x^{22} + 101730962000 x^{20} - 142586040000 x^{18} + 142941685000 x^{16} - 101779400000 x^{14} + 50709240000 x^{12} - 17243312000 x^{10} + 3851460000 x^{8} - 533600000 x^{6} + 42000000 x^{4} - 1600000 x^{2} + 20000$ $2^{155}\cdot 5^{68}$ $C_{40}$ (as 40T1) not computed
40.40.241...448.1 $x^{40} - 8 x^{39} - 108 x^{38} + 1088 x^{37} + 3906 x^{36} - 61536 x^{35} - 16112 x^{34} + 1879168 x^{33} - 2906961 x^{32} - 33432552 x^{31} + 99757876 x^{30} + 338987480 x^{29} - 1659074182 x^{28} - 1481634088 x^{27} + 16490173728 x^{26} - 6551273896 x^{25} - 102288662272 x^{24} + 136200533328 x^{23} + 380958750440 x^{22} - 912006399112 x^{21} - 661031915676 x^{20} + 3434806714480 x^{19} - 725194611924 x^{18} - 7668591177232 x^{17} + 6671459080739 x^{16} + 9131898997544 x^{15} - 15615391129992 x^{14} - 2329718096856 x^{13} + 17968739818102 x^{12} - 7656532378816 x^{11} - 9248389510952 x^{10} + 9155351367488 x^{9} + 152712506135 x^{8} - 3535639721664 x^{7} + 1440603918032 x^{6} + 192988272776 x^{5} - 288637717830 x^{4} + 77279696800 x^{3} - 6594043108 x^{2} - 228874328 x + 42209663$ $2^{155}\cdot 31^{32}$ $C_{40}$ (as 40T1) trivial $51941021536151210000000000000000000$
40.0.241...448.1 $x^{40} - 8 x^{39} - 28 x^{38} + 480 x^{37} - 590 x^{36} - 12256 x^{35} + 50848 x^{34} + 109312 x^{33} - 1226417 x^{32} + 1709592 x^{31} + 12360692 x^{30} - 56555656 x^{29} + 25107210 x^{28} + 503554328 x^{27} - 1782146352 x^{26} + 1246664504 x^{25} + 10677562784 x^{24} - 46323526448 x^{23} + 81119538408 x^{22} + 51159518264 x^{21} - 772163444220 x^{20} + 2537026033328 x^{19} - 4458213009204 x^{18} + 811897538352 x^{17} + 24332138723123 x^{16} - 101291576778200 x^{15} + 271875183651800 x^{14} - 573072400349048 x^{13} + 1006625975899798 x^{12} - 1509043223809792 x^{11} + 1950880152381736 x^{10} - 2185190349704512 x^{9} + 2124156178671895 x^{8} - 1779567362498752 x^{7} + 1250553242998848 x^{6} - 710531819699064 x^{5} + 334575428532442 x^{4} - 172809224615584 x^{3} + 136253228465068 x^{2} - 82125219617624 x + 24016496068463$ $2^{155}\cdot 31^{32}$ $C_{40}$ (as 40T1) not computed
40.0.342...625.1 $x^{40} - x^{39} + 205 x^{38} - 210 x^{37} + 17179 x^{36} - 18233 x^{35} + 769166 x^{34} - 861175 x^{33} + 20231634 x^{32} - 24611285 x^{31} + 321376610 x^{30} - 443994502 x^{29} + 2934250927 x^{28} - 5127881369 x^{27} + 11052709879 x^{26} - 38235186403 x^{25} - 47987734851 x^{24} - 204754941776 x^{23} - 587996815784 x^{22} - 1156468185533 x^{21} + 697453826091 x^{20} - 6137453171112 x^{19} + 39496054736893 x^{18} + 2277515781046 x^{17} + 279072370692972 x^{16} + 222049495807135 x^{15} + 1191232934278609 x^{14} + 327805687794932 x^{13} + 5697446694340888 x^{12} - 4841562954273985 x^{11} + 31699026105567100 x^{10} - 7800767151617665 x^{9} + 141832220187432461 x^{8} + 82933946634742001 x^{7} + 479398723525712355 x^{6} + 288175051685606927 x^{5} + 1062431436014171077 x^{4} + 355626436037277912 x^{3} + 1157271788184170842 x^{2} + 252128673371738912 x + 553402136113967801$ $5^{20}\cdot 11^{36}\cdot 17^{35}$ $C_{40}$ (as 40T1) not computed
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