Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying matches 1-50 of 80)

Label	Polynomial	Discriminant	Galois group	Class group
21.7.105070765003019731854543276767.1	x^21 - x^20 - 6x^19 + 11x^18 + 47x^17 - 45x^16 - 170x^15 + 162x^14 + 400x^13 - 307x^12 - 750x^11 + 395x^10 + 733x^9 - 371x^8 - 425x^7 + 197x^6 + 204x^5 - 78x^4 - 36x^3 + 17x^2 - 1	\( -\,17^{3}\cdot 23^{8}\cdot 64879^{3} \)	21T74	Trivial (GRH)
21.7.13044111284271602011807079518811.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5144x^7 - 588x^6 + 2051x^5 + 392x^4 - 329x^3 - 98x^2 - 7x - 1	\( -\,7^{21}\cdot 19^{3}\cdot 23^{7} \)	21T87	Trivial (GRH)
21.7.13347832346292311387708944226103.1	x^21 - x^20 - 9x^19 + 10x^18 + 28x^17 - 211x^16 + 324x^15 + 384x^14 - 1692x^13 + 1991x^12 + 2315x^11 - 1214x^10 - 9164x^9 - 5328x^8 + 34796x^7 - 21283x^6 - 16215x^5 + 19798x^4 - 2184x^3 - 3057x^2 + 711x - 41	\( -\,3^{7}\cdot 29^{19} \)	$C_7\times S_3$ (as 21T6)	Trivial (GRH)
21.7.20453552629840353822427943116187.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5146x^7 - 588x^6 + 2065x^5 + 392x^4 - 357x^3 - 98x^2 + 7x + 3	\( -\,7^{21}\cdot 11^{3}\cdot 31^{7} \)	21T87	Trivial (GRH)
21.7.23138606501783435147639121811543.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 3x^14 + 2940x^13 + 42x^12 - 5733x^11 - 231x^10 + 7007x^9 + 630x^8 - 5143x^7 - 882x^6 + 2044x^5 + 588x^4 - 315x^3 - 147x^2 - 14x + 1	\( -\,7^{21}\cdot 23^{10} \)	21T29	Trivial (GRH)
21.7.27791403259100732442943003841279.1	x^21 - x^20 - 6x^19 + 9x^18 + 49x^17 - 53x^16 - 173x^15 + 212x^14 + 363x^13 - 424x^12 - 649x^11 + 526x^10 + 562x^9 - 475x^8 - 233x^7 + 217x^6 + 94x^5 - 67x^4 - 14x^3 + 14x^2 - 1	\( -\,23^{7}\cdot 71^{3}\cdot 283583^{3} \)	21T74	Trivial (GRH)
21.7.39394113610756286924826653933568.1	x^21 + 3x^19 - 36x^16 + 51x^15 - 108x^14 - 210x^13 + 1028x^12 - 1872x^11 + 2298x^10 - 147x^9 - 2556x^8 + 3279x^7 - 2508x^6 - 828x^5 + 1272x^4 + 432x^3 + 288x^2 - 192x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 593^{3}\cdot 1033^{3} \)	21T152	Trivial (GRH)
21.7.39394113610756286924826653933568.2	x^21 - 21x^19 - 2x^18 + 189x^17 + 36x^16 - 957x^15 - 270x^14 + 3015x^13 + 1112x^12 - 6183x^11 - 2814x^10 + 8375x^9 + 4644x^8 - 7335x^7 - 5074x^6 + 3780x^5 + 3552x^4 - 864x^3 - 1440x^2 + 128	\( -\,2^{14}\cdot 3^{21}\cdot 593^{3}\cdot 1033^{3} \)	21T152	Trivial (GRH)
21.7.75548521976578880970667968954368.1	x^21 - 2x^20 + x^19 - 23x^18 - 7x^17 + 6x^16 + 62x^15 + 71x^14 + 134x^13 - 981x^12 + 565x^11 + 2065x^10 - 3120x^9 + 5036x^8 - 9383x^7 + 9486x^6 + 1068x^5 - 13797x^4 + 16346x^3 - 9327x^2 + 2191x - 49	\( -\,2^{18}\cdot 23^{9}\cdot 233^{6} \)	21T27	Trivial (GRH)
21.7.75548521976578880970667968954368.2	x^21 - x^20 - 8x^19 + 9x^18 + 83x^17 - 107x^16 - 370x^15 + 627x^14 + 1058x^13 - 1940x^12 - 2492x^11 + 3886x^10 + 3386x^9 - 5684x^8 - 3489x^7 + 3367x^6 + 2392x^5 - 347x^4 - 529x^3 + 71x^2 - 1	\( -\,2^{18}\cdot 23^{9}\cdot 233^{6} \)	21T27	Trivial (GRH)
21.7.457799989778793373947371039349607.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 3x^14 + 2940x^13 + 42x^12 - 5733x^11 - 231x^10 + 7007x^9 + 630x^8 - 5141x^7 - 882x^6 + 2030x^5 + 588x^4 - 287x^3 - 147x^2 - 28x - 3	\( -\,7^{21}\cdot 31^{10} \)	21T29	Trivial (GRH)
21.7.878578378205789250788964411993263.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 58x^16 - 894x^15 - 452x^14 + 2477x^13 + 1803x^12 - 3795x^11 - 3826x^10 + 2581x^9 + 3988x^8 - 3x^7 - 1577x^6 - 413x^5 + 231x^4 + 106x^3 - 5x^2 - 8x - 1	\( -\,11\cdot 23^{7}\cdot 59\cdot 64079789\cdot 6204687157589 \)	21T162	Trivial (GRH)
21.7.1387347928027439932553142925836288.1	x^21 - 3x^19 - 2x^18 - 27x^17 - 36x^16 + 15x^15 + 54x^14 + 360x^13 + 872x^12 + 621x^11 - 426x^10 - 1745x^9 - 3636x^8 - 2913x^7 + 5854x^6 + 18252x^5 + 22104x^4 + 15056x^3 + 6048x^2 + 1344x + 128	\( -\,2^{14}\cdot 3^{21}\cdot 13^{6}\cdot 109^{6} \)	21T147	Trivial (GRH)
21.7.1387347928027439932553142925836288.2	x^21 - 3x^19 - 10x^18 - 36x^17 - 18x^16 + 124x^15 + 252x^14 + 618x^13 + 982x^12 - 144x^11 - 1332x^10 - 2358x^9 - 4626x^8 - 2493x^7 + 4586x^6 + 5472x^5 + 1344x^4 + 624x^3 + 576x^2 - 192x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 13^{6}\cdot 109^{6} \)	21T147	Trivial (GRH)
21.7.1392812522681068857210837676949039.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 53x^16 - 899x^15 - 382x^14 + 2557x^13 + 1438x^12 - 4286x^11 - 3003x^10 + 3982x^9 + 3413x^8 - 1742x^7 - 1959x^6 + 181x^5 + 487x^4 + 54x^3 - 44x^2 - 13x - 1	\( -\,23^{7}\cdot 709\cdot 743\cdot 681493\cdot 1139465977607 \)	21T162	Trivial (GRH)
21.7.3071123628635589927498516790591488.1	x^21 - 3x^19 - 2x^18 - 27x^17 - 36x^16 + 96x^15 + 216x^14 + 225x^13 + 248x^12 - 999x^11 - 3954x^10 - 4655x^9 - 684x^8 + 5847x^7 + 14366x^6 + 22572x^5 + 23256x^4 + 15184x^3 + 6048x^2 + 1344x + 128	\( -\,2^{14}\cdot 3^{21}\cdot 61^{3}\cdot 42899^{3} \)	21T152	Trivial (GRH)
21.7.6400890533463290121080023755169887.1	x^21 - 3x^20 - 17x^19 + 29x^18 + 208x^17 - 102x^16 - 1409x^15 - x^14 + 3951x^13 + 2695x^12 - 3516x^11 - 6803x^10 - 5950x^9 - 1331x^8 + 8064x^7 + 12913x^6 + 7673x^5 + 1263x^4 - 612x^3 - 375x^2 - 90x - 9	\( -\,3^{21}\cdot 29^{9}\cdot 59^{6} \)	21T57	Trivial (GRH)
21.7.20906801248251181022960306970083328.1	x^21 + 3x^19 - 4x^18 - 36x^17 - 84x^16 - 460x^15 - 504x^14 - 861x^13 - 1196x^12 - 108x^11 - 2400x^10 + 6543x^9 + 6354x^8 - 6891x^7 - 1444x^6 - 1908x^5 - 1128x^4 + 2128x^3 - 288x^2 + 576x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 17^{6}\cdot 131^{6} \)	21T151	Trivial (GRH)
21.7.24136659873181133143007749754988839.1	x^21 - 2x^20 - 7x^19 + 30x^18 + 67x^17 - 166x^16 - 306x^15 + 883x^14 + 1278x^13 - 2134x^12 - 3557x^11 + 2894x^10 + 3853x^9 - 3155x^8 - 310x^7 + 967x^6 + 11x^5 - 146x^4 + 8x^3 + 21x^2 - 1	\( -\,23^{7}\cdot 577^{9} \)	$S_3\times D_7$ (as 21T8)	Trivial (GRH)
21.7.30763759259184166316226982551787043.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5147x^7 - 588x^6 + 2072x^5 + 392x^4 - 371x^3 - 98x^2 + 14x + 5	\( -\,7^{24}\cdot 107^{7} \)	21T69	Trivial (GRH)
21.7.35754565769886097787907823130198016.1	x^21 - 21x^19 - 10x^18 + 189x^17 + 180x^16 - 945x^15 - 1350x^14 + 2835x^13 + 5704x^12 - 5103x^11 - 15798x^10 + 4015x^9 + 30996x^8 + 7605x^7 - 39738x^6 - 29376x^5 + 22320x^4 + 33088x^3 + 3456x^2 - 11136x - 4736	\( -\,2^{14}\cdot 3^{21}\cdot 17\cdot 107^{3}\cdot 21557^{3} \)	21T152	Trivial (GRH)
21.7.81456421401609117918191887243293452.1	x^21 - 3x^20 - 2x^19 + 16x^18 - 12x^17 - 27x^16 + 46x^15 + 13x^14 - 76x^13 + 26x^12 + 79x^11 - 73x^10 - 38x^9 + 86x^8 - 17x^7 - 47x^6 + 34x^5 + 6x^4 - 15x^3 + 4x^2 + 2x - 1	\( -\,2^{2}\cdot 37\cdot 139\cdot 51194111\cdot 77344387584200382269131 \)	21T164	Trivial (GRH)
21.7.91178360615058506586326215629471744.1	x^21 - 9x^19 - 6x^18 + 27x^17 + 36x^16 - 15x^15 - 54x^14 - 441x^13 - 1088x^12 + 135x^11 + 3570x^10 + 7507x^9 + 12348x^8 + 13593x^7 + 2914x^6 - 13932x^5 - 20952x^4 - 14928x^3 - 6048x^2 - 1344x - 128	\( -\,2^{33}\cdot 3^{21}\cdot 317^{6} \)	21T136	Trivial (GRH)
21.7.195035727779935942827580963181007007.1	x^21 + 18x^19 - 20x^18 + 115x^17 - 188x^16 + 227x^15 - 571x^14 - 633x^13 + 412x^12 - 2156x^11 + 1703x^10 + 2628x^9 + 1031x^8 + 1528x^7 - 391x^6 + 241x^5 - 147x^4 + 21x^3 - 10x^2 - x + 1	\( -\,31^{7}\cdot 577^{9} \)	$S_3\times D_7$ (as 21T8)	Trivial (GRH)
21.7.319938495118356927821328886866296832.1	x^21 - 3x^19 - 2x^18 - 18x^17 - 24x^16 - 62x^15 - 108x^14 + 252x^13 + 848x^12 + 1350x^11 + 2004x^10 + 2224x^9 + 1440x^8 - 1707x^7 - 10142x^6 - 20412x^5 - 22680x^4 - 15120x^3 - 6048x^2 - 1344x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 11^{12}\cdot 29^{6} \)	21T151	Trivial (GRH)
21.7.467975407174598390024135662204092416.1	x^21 + 16x^19 - 6x^18 + 60x^17 + 24x^16 - 262x^15 + 630x^14 - 2088x^13 + 2404x^12 - 2916x^11 - 68x^10 + 6420x^9 - 11568x^8 + 16832x^7 - 14508x^6 + 9552x^5 - 4776x^4 + 204x^3 + 360x^2 - 600x + 500	\( -\,2^{20}\cdot 11^{7}\cdot 73^{12} \)	$S_3\times C_7:C_3$ (as 21T11)	Trivial (GRH)
21.7.716570317313053275835569057448231967.1	x^21 - x^20 - 12x^19 + 23x^18 + 209x^17 - 147x^16 - 1451x^15 + 840x^14 + 5070x^13 - 2978x^12 - 15769x^11 + 12105x^10 + 20201x^9 - 20848x^8 - 11002x^7 + 12758x^6 + 6317x^5 + 686x^4 - 267x^3 - 53x^2 + 1	\( -\,23^{7}\cdot 29^{18} \)	$C_7\times S_3$ (as 21T6)	Trivial (GRH)
21.7.887641117397815509982736884947746816.1	x^21 - 4x^20 - 12x^19 + 58x^18 + 74x^17 - 382x^16 - 686x^15 + 4800x^14 - 12932x^13 + 28358x^12 - 26452x^11 - 81018x^10 + 310564x^9 - 409604x^8 + 110816x^7 + 349094x^6 - 498694x^5 + 323368x^4 - 122288x^3 + 28698x^2 - 4026x + 266	\( -\,2^{20}\cdot 7^{12}\cdot 11^{19} \)	$S_3\times C_7:C_3$ (as 21T11)	$[2]$ (GRH)
21.7.1278927368949842240390233024324879232.1	x^21 - 3x^20 - 2x^19 + 16x^18 - 12x^17 - 27x^16 + 46x^15 + 13x^14 - 76x^13 + 26x^12 + 79x^11 - 73x^10 - 38x^9 + 86x^8 - 18x^7 - 47x^6 + 35x^5 + 6x^4 - 15x^3 + 4x^2 + 2x - 1	\( -\,2^{7}\cdot 43\cdot 5795579\cdot 27741107\cdot 364589707\cdot 3964080223 \)	21T164	Trivial (GRH)
21.7.2439749867262143600576492887163977728.1	x^21 - 6x^20 + 36x^19 - 114x^18 + 327x^17 - 693x^16 + 1251x^15 - 2007x^14 + 2295x^13 - 2524x^12 + 1179x^11 + 198x^10 - 1188x^9 + 3231x^8 - 2097x^7 + 618x^6 + 438x^5 - 1026x^4 + 44x^3 - 6x^2 + 45x + 9	\( -\,2^{14}\cdot 3^{33}\cdot 547^{6} \)	21T57	Trivial (GRH)
21.7.7789572797838822254025630224384000000.1	x^21 + 7x^19 - 70x^17 - 651x^15 - 106x^14 + 147x^13 + 1106x^12 + 12593x^11 + 11676x^10 + 28469x^9 - 1918x^8 - 7394x^7 - 60760x^6 - 185780x^5 + 120540x^4 + 233205x^3 + 168070x^2 - 432040x + 140680	\( -\,2^{18}\cdot 5^{6}\cdot 7^{21}\cdot 23^{7} \)	21T55	Trivial (GRH)
21.7.7789572797838822254025630224384000000.2	x^21 + 7x^19 - 70x^17 - 651x^15 - 36x^14 + 147x^13 - 462x^12 + 12593x^11 - 3640x^10 + 28469x^9 - 20258x^8 - 9958x^7 - 50470x^6 - 66220x^5 - 34300x^4 - 31675x^3 + 3500x - 1000	\( -\,2^{18}\cdot 5^{6}\cdot 7^{21}\cdot 23^{7} \)	21T55	Trivial (GRH)
21.7.17715608156920361474020168853580939264.1	x^21 - 2x^20 + 4x^19 + 70x^18 - 226x^17 - 406x^16 + 1741x^15 - 48x^14 - 4521x^13 + 7056x^12 - 14691x^11 + 29502x^10 - 17641x^9 - 46606x^8 + 128156x^7 - 152086x^6 + 57937x^5 + 104248x^4 - 179097x^3 + 119110x^2 - 36110x + 3596	\( -\,2^{36}\cdot 3^{18}\cdot 13^{16} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.7.419106148260412830400407432145473110016.1	x^21 - 6x^20 + 6x^19 + 14x^18 + 117x^17 - 756x^16 + 993x^15 - 72x^14 + 5994x^13 - 27152x^12 + 37740x^11 - 31386x^10 + 134624x^9 - 240930x^8 + 143181x^7 + 237822x^6 - 396504x^5 + 2869290x^4 - 6027167x^3 - 6344232x^2 + 4802307x + 1646714	\( -\,2^{30}\cdot 3^{27}\cdot 13^{15} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.7.1090199518881106278058570421221868699648.1	x^21 - 37x^19 - 7x^18 + 631x^17 - 160x^16 - 7660x^15 + 5137x^14 + 56640x^13 - 76851x^12 - 243751x^11 + 479095x^10 + 411482x^9 - 1347008x^8 + 92559x^7 + 992616x^6 - 416686x^5 + 955747x^4 + 870892x^3 - 1275931x^2 - 1256035x - 284261	\( -\,2^{18}\cdot 7^{12}\cdot 23^{7}\cdot 211^{6} \)	21T32	$[7]$ (GRH)
21.7.8064534907239574094801006114055662600192.1	x^21 - 6x^19 - 24x^18 + 262x^17 - 1188x^16 - 1310x^15 + 16498x^14 - 8820x^13 - 84272x^12 + 91788x^11 + 198880x^10 - 311512x^9 - 182624x^8 + 380216x^7 + 267120x^6 + 75760x^5 - 599792x^4 - 519200x^3 + 413824x^2 + 381312x + 45152	\( -\,2^{18}\cdot 7^{24}\cdot 107^{7} \)	21T40	Trivial (GRH)
21.7.8282866840288240634450974191476636172288.1	x^21 + 36x^19 - 24x^18 + 495x^17 - 660x^16 + 3433x^15 - 6426x^14 + 13923x^13 - 26656x^12 + 35424x^11 - 43824x^10 + 40730x^9 - 11304x^8 - 26121x^7 + 55258x^6 - 74196x^5 + 71496x^4 - 45744x^3 + 18144x^2 - 4032x + 384	\( -\,2^{14}\cdot 3^{26}\cdot 337\cdot 8388019^{3} \)	21T152	Trivial (GRH)
21.7.12714375279672778294362958922197224914944.1	x^21 - 3x^20 + x^19 - 42x^18 - 157x^17 + 310x^16 + 5798x^15 - 3709x^14 - 92464x^13 + 474108x^12 - 2368117x^11 + 9006061x^10 - 20442035x^9 + 24167098x^8 + 18849199x^7 - 129416738x^6 + 120608306x^5 + 151200437x^4 - 174966569x^3 - 172336121x^2 + 129418146x + 31235087	\( -\,2^{18}\cdot 29^{6}\cdot 31^{7}\cdot 379^{6} \)	21T32	$[7]$ (GRH)
21.7.31032827270403258915448227917250560000000.1	x^21 - 63x^19 - 84x^18 + 1512x^17 + 3850x^16 - 15029x^15 - 63668x^14 + 19355x^13 + 408198x^12 + 542696x^11 - 448728x^10 - 1801933x^9 - 2364768x^8 - 3841877x^7 - 7427812x^6 - 9136848x^5 - 5209666x^4 + 684425x^3 + 2417492x^2 + 819441x - 32894	\( -\,2^{20}\cdot 5^{7}\cdot 7^{35} \)	21T23	$[3]$ (GRH)
21.7.37494305928518480292756793661064283963392.1	x^21 + 39x^19 - 26x^18 + 594x^17 - 792x^16 + 4692x^15 - 8856x^14 + 22266x^13 - 44944x^12 + 68904x^11 - 103632x^10 + 118468x^9 - 86544x^8 + 29091x^7 + 50834x^6 - 134244x^5 + 156456x^4 - 105584x^3 + 42336x^2 - 9408x + 896	\( -\,2^{14}\cdot 3^{21}\cdot 7^{2}\cdot 71^{3}\cdot 547\cdot 283583^{3} \)	21T152	Trivial (GRH)
21.7.117847491094002618106110842754501058019328.1	x^21 + 36x^19 - 24x^18 + 477x^17 - 636x^16 + 2912x^15 - 5400x^14 + 7893x^13 - 12248x^12 - 3132x^11 + 43512x^10 - 108421x^9 + 221076x^8 - 313047x^7 + 275646x^6 - 152172x^5 + 57816x^4 - 19024x^3 + 6048x^2 - 1344x + 128	\( -\,2^{14}\cdot 3^{21}\cdot 97\cdot 577^{9} \)	21T131	Trivial (GRH)
21.7.231636832837360510908018449295052404602048.1	x^21 - 21x^17 - 280x^15 - 138x^14 + 98x^13 + 1792x^12 + 2352x^11 + 1008x^10 + 13279x^9 - 44576x^8 + 4321x^7 + 142296x^6 - 106484x^5 + 32928x^4 + 355376x^3 - 154252x^2 - 254912x + 83900	\( -\,2^{6}\cdot 7^{30}\cdot 107^{7} \)	21T40	Trivial (GRH)
21.7.6293860585415717863922961747811348298858496.1	x^21 + 33x^19 - 22x^18 + 396x^17 - 528x^16 + 2174x^15 - 3996x^14 + 5580x^13 - 8368x^12 + 1944x^11 + 15984x^10 - 38466x^9 + 69768x^8 - 97614x^7 + 98940x^6 - 79704x^5 + 55728x^4 - 31392x^3 + 12096x^2 - 2688x + 256	\( -\,2^{45}\cdot 3^{21}\cdot 61\cdot 809^{6} \)	21T147	Trivial (GRH)
21.7.8026392053570511333903758817888858066542592.1	x^21 - 21x^19 - 5x^18 + 189x^17 + 90x^16 - 1177x^15 - 675x^14 + 6315x^13 + 1984x^12 - 25983x^11 + 2517x^10 + 76399x^9 - 31374x^8 - 174051x^7 + 139683x^6 + 290088x^5 - 453996x^4 - 67056x^3 + 594000x^2 - 499968x + 147136	\( -\,2^{13}\cdot 3^{21}\cdot 97\cdot 149^{6}\cdot 211^{6} \)	21T151	$[2]$ (GRH)
21.7.38472809971686930547892998764430923170316288.1	x^21 - 28x^15 - 24x^14 + 147x^9 + 252x^8 + 108x^7 + 343x^3 + 882x^2 + 756x + 216	\( -\,2^{18}\cdot 3^{18}\cdot 7^{35} \)	21T159	Trivial (GRH)
21.7.42806290740019959803859400295965724054212608.1	x^21 - 63x^15 - 54x^14 + 9261x^3 + 23814x^2 + 20412x + 5832	\( -\,2^{12}\cdot 3^{44}\cdot 7^{21}\cdot 19 \)	21T159	Trivial (GRH)
21.7.56932470192652987188870611797563492035198976.1	x^21 - 49x^19 - 98x^18 + 826x^17 + 2968x^16 - 7448x^15 - 44616x^14 + 22197x^13 + 371224x^12 + 210063x^11 - 1736602x^10 - 2769312x^9 + 3364144x^8 + 7470434x^7 - 27811420x^6 - 80806096x^5 + 4000752x^4 + 229127416x^3 + 240065168x^2 - 1757728x - 66831808	\( -\,2^{36}\cdot 3^{7}\cdot 7^{35} \)	21T23	$[3]$ (GRH)
21.7.109390621596084700860007929456175983133704192.1	x^21 - 54x^19 - 142x^18 + 1125x^17 + 5550x^16 - 6017x^15 - 77418x^14 - 70674x^13 + 434534x^12 + 848124x^11 - 983280x^10 - 3192759x^9 + 1467252x^8 + 8862276x^7 + 2890596x^6 - 11439792x^5 - 12529152x^4 - 3350624x^3 + 785664x^2 + 160896x - 49664	\( -\,2^{14}\cdot 3^{21}\cdot 149^{6}\cdot 211^{6}\cdot 661 \)	21T151	Trivial (GRH)
21.7.118116119077730298829170778650237162465584503.1	x^21 - 5x^20 - 109x^19 + 701x^18 + 4296x^17 - 39756x^16 - 48624x^15 + 1154631x^14 - 1521502x^13 - 17113929x^12 + 59548164x^11 + 83276272x^10 - 794402904x^9 + 960360912x^8 + 3742318991x^7 - 13615721957x^6 + 9795702580x^5 + 34213837684x^4 - 101142508280x^3 + 124128246896x^2 - 77759450304x + 20461436081	\( -\,7^{3}\cdot 4591^{2}\cdot 1057681^{3}\cdot 117508201^{2} \)	21T149	$[3]$ (GRH)
21.7.319818187070222575563949307127106042884938167.1	x^21 - 3x^20 - 121x^19 + 520x^18 + 5673x^17 - 34123x^16 - 113785x^15 + 1128771x^14 + 76521x^13 - 19817069x^12 + 39581265x^11 + 156838536x^10 - 718476095x^9 + 165478618x^8 + 4650794255x^7 - 10553757523x^6 + 58638956x^5 + 39666054316x^4 - 82890643198x^3 + 84623317925x^2 - 45571419390x + 10411723987	\( -\,72871^{2}\cdot 7215127^{3}\cdot 12662833^{2} \)	21T149	$[3]$ (GRH)