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 all 49 matches)

Label	Polynomial	Discriminant	Galois group	Class group
21.15.8323171787619560684096554117351.1	x^21 - 15x^19 - 4x^18 + 67x^17 + 60x^16 - 81x^15 - 268x^14 + 17x^13 + 474x^12 - 514x^11 - 401x^10 + 1233x^9 + 103x^8 - 842x^7 - 75x^6 + 200x^5 + 73x^4 - 7x^3 - 19x^2 - 2x + 1	\( -\,7^{14}\cdot 107^{3}\cdot 21557^{3} \)	21T56	Trivial (GRH)
21.15.9019481696572641947795544614807.1	x^21 - 20x^19 + 135x^17 - 16x^16 - 350x^15 + 149x^14 + 182x^13 - 477x^12 + 307x^11 + 641x^10 + 150x^9 - 233x^8 - 566x^7 - 26x^6 + 272x^5 + 5x^4 - 31x^3 + 7x^2 - 2x - 1	\( -\,7^{14}\cdot 23^{3}\cdot 239^{3}\cdot 431^{3} \)	21T56	Trivial (GRH)
21.15.30334115052100547879498687424199.1	x^21 - 7x^20 + 4x^19 + 78x^18 - 172x^17 - 227x^16 + 1027x^15 - 237x^14 - 2424x^13 + 2147x^12 + 2451x^11 - 3882x^10 - 561x^9 + 3295x^8 - 1120x^7 - 1109x^6 + 907x^5 - 79x^4 - 154x^3 + 74x^2 - 14x + 1	\( -\,107^{3}\cdot 313^{2}\cdot 5023^{2}\cdot 21557^{3} \)	21T139	Trivial (GRH)
21.15.38320240821952780061354303199559.1	x^21 - 7x^20 + 4x^19 + 76x^18 - 158x^17 - 247x^16 + 951x^15 + 33x^14 - 2574x^13 + 1625x^12 + 3365x^11 - 4136x^10 - 1183x^9 + 3929x^8 - 1250x^7 - 1233x^6 + 995x^5 - 101x^4 - 152x^3 + 74x^2 - 14x + 1	\( -\,107^{3}\cdot 21557^{3}\cdot 1767079^{2} \)	21T139	Trivial (GRH)
21.15.44431987193394849846026713481216.1	x^21 - 7x^20 - x^19 + 149x^18 - 531x^17 + 390x^16 + 1944x^15 - 5031x^14 + 1026x^13 + 11764x^12 - 13674x^11 - 8132x^10 + 22878x^9 - 4419x^8 - 15252x^7 + 8130x^6 + 3505x^5 - 3016x^4 + 142x^3 + 159x^2 - 25x + 1	\( -\,2^{14}\cdot 37^{8}\cdot 199^{3}\cdot 461^{3} \)	21T74	Trivial (GRH)
21.15.376429776359836117500418449727791.1	x^21 - 8x^20 + 16x^19 + 19x^18 - 103x^17 + 160x^16 - 174x^15 + 66x^14 - 206x^13 + 39x^12 + 4498x^11 - 10908x^10 + 7867x^9 + 6766x^8 - 19649x^7 + 7824x^6 + 13595x^5 - 6802x^4 - 4602x^3 + 1044x^2 + 735x + 79	\( -\,3^{7}\cdot 107^{8}\cdot 21557^{3} \)	21T74	Trivial (GRH)
21.15.832264666907665525356930624196771.1	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 + 1	\( -\,7^{35}\cdot 13^{3} \)	21T45	Trivial (GRH)
21.15.9239009085667298360459800179123827.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 4x^14 + 2940x^13 + 56x^12 - 5733x^11 - 308x^10 + 7007x^9 + 840x^8 - 5142x^7 - 1176x^6 + 2037x^5 + 784x^4 - 301x^3 - 196x^2 - 21x + 1	\( -\,7^{35}\cdot 29^{3} \)	21T45	Trivial (GRH)
21.15.18446212894339753014854986922155963.1	x^21 - 21x^19 + 189x^17 - 952x^15 + 2940x^13 - 5733x^11 + 7007x^9 - 5149x^7 + 2086x^5 - 399x^3 + 28x - 1	\( -\,7^{21}\cdot 229^{7} \)	21T87	Trivial (GRH)
21.15.41360968886902952394795529728864551.1	x^21 - 21x^19 + 189x^17 - 952x^15 - x^14 + 2940x^13 + 14x^12 - 5733x^11 - 77x^10 + 7007x^9 + 210x^8 - 5149x^7 - 294x^6 + 2086x^5 + 196x^4 - 399x^3 - 49x^2 + 28x + 3	\( -\,7^{21}\cdot 257^{7} \)	21T87	Trivial (GRH)
21.15.62777025856649436362941930381175751.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 3x^14 + 2940x^13 + 42x^12 - 5733x^11 - 231x^10 + 7007x^9 + 630x^8 - 5145x^7 - 882x^6 + 2058x^5 + 588x^4 - 343x^3 - 147x^2 + 3	\( -\,3^{28}\cdot 7^{21}\cdot 17^{3} \)	21T70	Trivial (GRH)
21.15.246116594529153198743432623523932583.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 56x^16 - 896x^15 - 424x^14 + 2509x^13 + 1657x^12 - 4002x^11 - 3518x^10 + 3205x^9 + 3917x^8 - 741x^7 - 2043x^6 - 373x^5 + 369x^4 + 143x^3 - 10x^2 - 10x - 1	\( -\,7^{14}\cdot 13\cdot 743\cdot 2267\cdot 5167\cdot 409333\cdot 7835549 \)	21T159	Trivial (GRH)
21.15.274900661946440887644863785621377875.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5148x^7 - 588x^6 + 2079x^5 + 392x^4 - 385x^3 - 98x^2 + 21x + 5	\( -\,5^{3}\cdot 7^{21}\cdot 13^{14} \)	21T70	Trivial (GRH)
21.15.781956625090438885526144155099840463.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 58x^16 - 894x^15 - 452x^14 + 2477x^13 + 1803x^12 - 3797x^11 - 3830x^10 + 2593x^9 + 4018x^8 - 11x^7 - 1637x^6 - 453x^5 + 235x^4 + 116x^3 - 3x^2 - 8x - 1	\( -\,7^{14}\cdot 13\cdot 113\cdot 784852972712844077323 \)	21T159	Trivial (GRH)
21.15.1398884674421463279959586376937816064.1	x^21 - 24x^19 - 16x^18 + 189x^17 + 252x^16 - 321x^15 - 810x^14 - 1917x^13 - 3792x^12 + 2403x^11 + 18618x^10 + 23083x^9 + 3420x^8 - 20487x^7 - 31006x^6 - 31212x^5 - 25560x^4 - 15440x^3 - 6048x^2 - 1344x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 283583^{3} \)	21T152	Trivial (GRH)
21.15.1398884674421463279959586376937816064.2	x^21 - 24x^19 - 16x^18 + 189x^17 + 252x^16 - 348x^15 - 864x^14 - 1467x^13 - 2504x^12 + 1026x^11 + 10284x^10 + 15673x^9 + 12996x^8 + 6033x^7 - 5438x^6 - 18252x^5 - 22104x^4 - 15056x^3 - 6048x^2 - 1344x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 283583^{3} \)	21T152	Trivial (GRH)
21.15.3481801648751785241682752893736008859648.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 46x^16 - 906x^15 - 284x^14 + 2669x^13 + 927x^12 - 4946x^11 - 1796x^10 + 5779x^9 + 2197x^8 - 4067x^7 - 1691x^6 + 1503x^5 + 733x^4 - 175x^3 - 126x^2 - 20x - 1	\( -\,2^{14}\cdot 37^{7}\cdot 349\cdot 10765241\cdot 595830643430851 \)	21T162	Trivial (GRH)
21.15.4805855121304884104682343436580598366208.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 58x^16 - 894x^15 - 452x^14 + 2477x^13 + 1803x^12 - 3798x^11 - 3832x^10 + 2599x^9 + 4033x^8 - 15x^7 - 1667x^6 - 473x^5 + 237x^4 + 121x^3 - 2x^2 - 8x - 1	\( -\,2^{14}\cdot 37^{7}\cdot 3089859034734508131528239 \)	21T162	Trivial (GRH)
21.15.5753392782009617790023321587083246912523.1	x^21 - 5x^20 - 9x^19 + 74x^18 + 9x^17 - 456x^16 + 171x^15 + 1521x^14 - 850x^13 - 2991x^12 + 1808x^11 + 3549x^10 - 2032x^9 - 2512x^8 + 1235x^7 + 1025x^6 - 388x^5 - 231x^4 + 57x^3 + 25x^2 - 3x - 1	\( -\,5753392782009617790023321587083246912523 \)	21T164	Trivial (GRH)
21.15.15799254088393110922689370444340301244996.1	x^21 - 5x^20 - 9x^19 + 74x^18 + 9x^17 - 456x^16 + 171x^15 + 1521x^14 - 850x^13 - 2991x^12 + 1808x^11 + 3549x^10 - 2032x^9 - 2512x^8 + 1235x^7 + 1025x^6 - 388x^5 - 229x^4 + 56x^3 + 25x^2 - 3x - 1	\( -\,2^{2}\cdot 7\cdot 1747\cdot 34519\cdot 9356802041683028669740613509099 \)	21T164	Trivial (GRH)
21.15.24988432139842117543751513086853457641472.1	x^21 - 21x^19 - 8x^18 + 189x^17 + 144x^16 - 945x^15 - 1080x^14 + 2835x^13 + 4432x^12 - 5103x^11 - 11064x^10 + 4903x^9 + 17712x^8 - 387x^7 - 17960x^6 - 5400x^5 + 9264x^4 + 5656x^3 - 288x^2 - 768x - 128	\( -\,2^{38}\cdot 3^{21}\cdot 31\cdot 809^{6} \)	21T147	Trivial (GRH)
21.15.59531206841300291620612693762583008690176.1	x^21 - 27x^19 - 18x^18 + 234x^17 + 312x^16 - 436x^15 - 1080x^14 - 2502x^13 - 4912x^12 + 2538x^11 + 22188x^10 + 33506x^9 + 27432x^8 + 1611x^7 - 61842x^6 - 138564x^5 - 157608x^4 - 105712x^3 - 42336x^2 - 9408x - 896	\( -\,2^{14}\cdot 3^{21}\cdot 7^{2}\cdot 577^{9} \)	21T131	Trivial (GRH)
21.15.60189691870465817637946777639383944134656.1	x^21 - 24x^19 - 16x^18 + 153x^17 + 204x^16 + 365x^15 + 594x^14 - 4545x^13 - 13088x^12 - 9774x^11 + 5484x^10 + 48407x^9 + 147132x^8 + 233967x^7 + 213694x^6 + 121932x^5 + 49752x^4 + 18128x^3 + 6048x^2 + 1344x + 128	\( -\,2^{27}\cdot 3^{21}\cdot 11\cdot 3967^{6} \)	21T147	Trivial (GRH)
21.15.112907939754257152540470809754816990560256.1	x^21 - 63x^19 - 42x^18 + 1665x^17 + 2220x^16 - 23155x^15 - 47790x^14 + 168858x^13 + 528168x^12 - 449145x^11 - 3043422x^10 - 1732173x^9 + 7496316x^8 + 13524411x^7 + 1957846x^6 - 18965124x^5 - 27585864x^4 - 19533296x^3 - 7904736x^2 - 1756608x - 167296	\( -\,2^{14}\cdot 3^{21}\cdot 23^{3}\cdot 29\cdot 239^{3}\cdot 431^{3}\cdot 1307^{2} \)	21T152	Trivial (GRH)
21.15.235348967144551450795023528306489080070144.1	x^21 - 63x^19 - 42x^18 + 1674x^17 + 2232x^16 - 23583x^15 - 48654x^14 + 176382x^13 + 549640x^12 - 500931x^11 - 3278442x^10 - 1739618x^9 + 8547336x^8 + 15049899x^7 + 1418766x^6 - 22842756x^5 - 32687784x^4 - 23073776x^3 - 9332064x^2 - 2073792x - 197504	\( -\,2^{14}\cdot 3^{21}\cdot 47\cdot 107^{3}\cdot 1543^{2}\cdot 21557^{3} \)	21T152	Trivial (GRH)
21.15.237714117824906601657941050896630528000000.1	x^21 - 24x^19 - 16x^18 + 153x^17 + 204x^16 + 176x^15 + 216x^14 - 3420x^13 - 9472x^12 - 1485x^11 + 22506x^10 + 34207x^9 + 20844x^8 + 873x^7 - 13470x^6 - 22572x^5 - 23256x^4 - 15184x^3 - 6048x^2 - 1344x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 5^{6}\cdot 6679^{6} \)	21T151	Trivial (GRH)
21.15.330985239322495312738299332696447755321344.1	x^21 - 27x^19 - 18x^18 + 234x^17 + 312x^16 - 409x^15 - 1026x^14 - 2547x^13 - 5120x^12 + 621x^11 + 16422x^10 + 28117x^9 + 31140x^8 + 25446x^7 + 1924x^6 - 30024x^5 - 42480x^4 - 29920x^3 - 12096x^2 - 2688x - 256	\( -\,2^{15}\cdot 3^{21}\cdot 149^{6}\cdot 211^{6} \)	21T151	Trivial (GRH)
21.15.1270069974630210996547441381184387130851328.1	x^21 - 21x^19 - 4x^18 + 189x^17 + 72x^16 - 1001x^15 - 540x^14 + 3675x^13 + 2512x^12 - 10143x^11 - 9084x^10 + 19679x^9 + 24840x^8 - 19971x^7 - 40932x^6 - 1080x^5 + 28512x^4 + 15200x^3 - 1536x - 256	\( -\,2^{26}\cdot 3^{21}\cdot 73^{12}\cdot 79 \)	21T137	Trivial (GRH)
21.15.1315969325517029136527144953243469517078528.1	x^21 - 27x^19 - 18x^18 + 171x^17 + 228x^16 + 1129x^15 + 2106x^14 - 14553x^13 - 42240x^12 + 16497x^11 + 177918x^10 + 192220x^9 - 93312x^8 - 395361x^7 - 420282x^6 - 259956x^5 - 121032x^4 - 51248x^3 - 18144x^2 - 4032x - 384	\( -\,2^{14}\cdot 3^{19}\cdot 1601^{9} \)	21T131	Trivial (GRH)
21.15.37882475204146041371729236303551933137891328.1	x^21 - 21x^19 - 17x^18 + 189x^17 + 306x^16 - 1007x^15 - 2295x^14 + 3765x^13 + 9292x^12 - 10683x^11 - 21999x^10 + 22299x^9 + 30834x^8 - 31401x^7 - 24457x^6 + 27378x^5 + 8880x^4 - 13080x^3 + 288x^2 + 2304x - 512	\( -\,2^{12}\cdot 3^{21}\cdot 313^{12} \)	21T137	Trivial (GRH)
21.15.199772041324466833510039955353950498075672576.1	x^21 - 21x^19 - 4x^18 + 189x^17 + 72x^16 - 1045x^15 - 540x^14 + 4335x^13 + 1944x^12 - 14103x^11 - 2268x^10 + 32519x^9 - 5832x^8 - 46431x^7 + 21084x^6 + 35532x^5 - 21528x^4 - 11616x^3 + 6048x^2 + 1152x - 512	\( -\,2^{15}\cdot 3^{21}\cdot 2029^{9} \)	21T131	Trivial (GRH)
21.15.3181220474533863069678902335333881959645528064.1	x^21 - 42x^19 - 28x^18 + 567x^17 + 756x^16 - 2205x^15 - 4914x^14 - 4977x^13 - 5264x^12 + 12474x^11 + 54684x^10 + 75264x^9 + 50400x^8 + 14613x^7 - 7966x^6 - 20412x^5 - 22680x^4 - 15120x^3 - 6048x^2 - 1344x - 128	\( -\,2^{14}\cdot 3^{21}\cdot 7^{37} \)	21T123	Trivial (GRH)
21.15.14817338777167503854605746292412246557782097920.1	x^21 - 24x^19 - 16x^18 + 135x^17 + 180x^16 + 573x^15 + 1026x^14 - 4500x^13 - 13672x^12 - 13581x^11 - 5334x^10 + 43067x^9 + 172764x^8 + 247614x^7 + 71204x^6 - 239976x^5 - 374256x^4 - 268384x^3 - 108864x^2 - 24192x - 2304	\( -\,2^{14}\cdot 3^{23}\cdot 5\cdot 7^{12}\cdot 173^{9} \)	21T142	Trivial (GRH)
21.15.20348294776519408952081501076010566466441494528.1	x^21 - 48x^19 - 32x^18 + 846x^17 + 1128x^16 - 6266x^15 - 13284x^14 + 12042x^13 + 53760x^12 + 51354x^11 + 10188x^10 - 87483x^9 - 301644x^8 - 426411x^7 - 152694x^6 + 337284x^5 + 555336x^4 + 401904x^3 + 163296x^2 + 36288x + 3456	\( -\,2^{14}\cdot 3^{36}\cdot 587^{9} \)	21T131	Trivial (GRH)
21.15.206999357923580597519925622120420920952650317824.1	x^21 - 4x^20 - 135x^19 + 447x^18 + 7426x^17 - 14742x^16 - 235889x^15 + 81863x^14 + 4535217x^13 + 6003126x^12 - 45995423x^11 - 152176849x^10 + 82861724x^9 + 1302489123x^8 + 2491180274x^7 - 865406655x^6 - 12974841396x^5 - 29235206700x^4 - 36570332305x^3 - 28144706275x^2 - 12639229484x - 2567394257	\( -\,2^{14}\cdot 107^{3}\cdot 331^{2}\cdot 21557^{3}\cdot 31033^{2}\cdot 98779^{2} \)	21T149	$[3]$ (GRH)
21.15.501566917607120005478404511998154545980924014592.1	x^21 - 48x^19 - 32x^18 + 540x^17 + 720x^16 + 4344x^15 + 8208x^14 - 77472x^13 - 219968x^12 - 213408x^11 - 72384x^10 + 2770880x^9 + 11033856x^8 + 13320192x^7 - 7201280x^6 - 38873088x^5 - 50079744x^4 - 34594816x^3 - 13934592x^2 - 3096576x - 294912	\( -\,2^{12}\cdot 3^{23}\cdot 7^{12}\cdot 173^{9}\cdot 677 \)	21T142	Trivial (GRH)
21.15.727593296109443598965662715993236317819319566336.1	x^21 - 3x^19 - 2x^18 - 162x^17 - 216x^16 + 873x^15 + 1890x^14 + 4338x^13 + 8488x^12 - 17064x^11 - 80592x^10 - 106609x^9 - 54468x^8 + 116223x^7 + 527006x^6 + 1015308x^5 + 1115352x^4 + 741328x^3 + 296352x^2 + 65856x + 6272	\( -\,2^{14}\cdot 3^{21}\cdot 7^{5}\cdot 43^{18} \)	21T123	Trivial (GRH)
21.15.1026340717997546749443792043684557504276540162048.1	x^21 - 27x^19 - 18x^18 + 216x^17 + 288x^16 - 66x^15 - 324x^14 - 3861x^13 - 9768x^12 - 4617x^11 + 12690x^10 + 37269x^9 + 76356x^8 + 100539x^7 + 60774x^6 - 15876x^5 - 55944x^4 - 44016x^3 - 18144x^2 - 4032x - 384	\( -\,2^{39}\cdot 3^{41}\cdot 13^{15} \)	21T142	Trivial (GRH)
21.15.2435730551244745508335671328116066872049480499200.1	x^21 - 42x^19 - 28x^18 + 108x^17 + 144x^16 + 10470x^15 + 20844x^14 - 34056x^13 - 124784x^12 - 741690x^11 - 2102892x^10 - 1453054x^9 + 3319272x^8 + 10472130x^7 + 19267908x^6 + 27279720x^5 + 27096912x^4 + 17500768x^3 + 6955200x^2 + 1545600x + 147200	\( -\,2^{32}\cdot 3^{21}\cdot 5^{2}\cdot 23^{2}\cdot 73^{12}\cdot 179 \)	21T137	Trivial (GRH)
21.15.5093153072766105192759639011952654224735236964352.1	x^21 - 24x^19 - 16x^18 + 81x^17 + 108x^16 + 2061x^15 + 4050x^14 - 15687x^13 - 48432x^12 - 15984x^11 + 88368x^10 + 224896x^9 + 424512x^8 + 469797x^7 - 11902x^6 - 758268x^5 - 1046808x^4 - 733712x^3 - 296352x^2 - 65856x - 6272	\( -\,2^{14}\cdot 3^{21}\cdot 7^{6}\cdot 43^{18} \)	21T123	Trivial (GRH)
21.15.60489956066980411545343493574658607908298585800704.1	x^21 - 54x^19 - 36x^18 + 864x^17 + 1152x^16 - 912x^15 - 2592x^14 - 60048x^13 - 155904x^12 + 7776x^11 + 475200x^10 + 1694016x^9 + 4402944x^8 + 5853312x^7 + 1908480x^6 - 4935168x^5 - 7934976x^4 - 5720064x^3 - 2322432x^2 - 516096x - 49152	\( -\,2^{35}\cdot 3^{41}\cdot 13^{15}\cdot 23\cdot 41 \)	21T142	Trivial (GRH)
21.15.248963880921721405280252120945881577616987438186496.1	x^21 - 10x^20 - 137x^19 + 1872x^18 + 3512x^17 - 125638x^16 + 254464x^15 + 3804068x^14 - 18436401x^13 - 41021470x^12 + 471129383x^11 - 504783236x^10 - 5179107104x^9 + 17759404554x^8 + 7828934422x^7 - 152839367696x^6 + 283190814248x^5 + 156238042640x^4 - 1431442633860x^3 + 2489193126240x^2 - 2022049207736x + 669652484632	\( -\,2^{22}\cdot 19^{2}\cdot 37^{4}\cdot 4129^{6}\cdot 4207717^{2} \)	21T136	Trivial (GRH)
21.15.264052273254588481010531488175866616732437426978816.1	x^21 - 3x^20 - 209x^19 + 866x^18 + 17488x^17 - 100813x^16 - 699289x^15 + 6055386x^14 + 9100112x^13 - 197774167x^12 + 303373804x^11 + 3145126908x^10 - 13632017727x^9 - 6799234698x^8 + 179226043197x^7 - 434862711589x^6 - 215531886603x^5 + 3436111182819x^4 - 8653636855724x^3 + 11225010417085x^2 - 7833213610116x + 2346733148869	\( -\,2^{14}\cdot 107^{3}\cdot 21557^{3}\cdot 597049^{2}\cdot 60696949^{2} \)	21T149	$[3]$ (GRH)
21.15.6794371816936220522300136015552507232390662697517056.1	x^21 - 5x^20 - 147x^19 + 855x^18 + 8313x^17 - 59101x^16 - 213419x^15 + 2133399x^14 + 1553594x^13 - 42723266x^12 + 42772372x^11 + 449457876x^10 - 1079884938x^9 - 1761084678x^8 + 8758478200x^7 - 5404777968x^6 - 17906984544x^5 + 38312104852x^4 - 48599758344x^3 + 67992573696x^2 - 64614140288x + 23767712416	\( -\,2^{22}\cdot 4129^{6}\cdot 571755108853^{2} \)	21T136	$[3]$ (GRH)
21.15.28145346243034236618000959151522201107893866240000000.1	x^21 - 45x^19 - 30x^18 + 594x^17 + 792x^16 - 897x^15 - 2322x^14 - 17910x^13 - 43976x^12 - 10098x^11 + 92388x^10 + 258803x^9 + 551340x^8 + 841095x^7 + 929166x^6 + 845100x^5 + 656280x^4 + 387920x^3 + 151200x^2 + 33600x + 3200	\( -\,2^{14}\cdot 3^{21}\cdot 5^{7}\cdot 71^{18} \)	21T123	Trivial (GRH)
21.15.283369569577324675950460641547443204115057882490208256.1	x^21 - 6x^20 - 129x^19 + 738x^18 + 6841x^17 - 34182x^16 - 206917x^15 + 754770x^14 + 4078383x^13 - 7593138x^12 - 52093363x^11 + 8626390x^10 + 365734083x^9 + 439496302x^8 - 804532503x^7 - 2198991242x^6 - 1696579116x^5 - 3038803440x^4 - 11303652912x^3 - 18939196800x^2 - 14663981568x - 4441714880	\( -\,2^{26}\cdot 13^{2}\cdot 73^{12}\cdot 1699^{2}\cdot 19440739^{2} \)	21T117	$[3]$ (GRH)
21.15.26259569531882718908527603204728267601456420004848205824.1	x^21 - 8x^20 - 133x^19 + 730x^18 + 9557x^17 - 20774x^16 - 408565x^15 - 231634x^14 + 9621995x^13 + 27029686x^12 - 96185103x^11 - 598120396x^10 - 342043949x^9 + 4693867170x^8 + 13668773237x^7 + 3878121300x^6 - 56490630556x^5 - 147123786832x^4 - 185267123790x^3 - 132188180172x^2 - 51125595528x - 8334777958	\( -\,2^{26}\cdot 73^{12}\cdot 1747^{2}\cdot 2366049313^{2} \)	21T117	$[3]$ (GRH)
21.15.199590046918721268199019961542607044275952072765726408704.1	x^21 - 6x^20 - 203x^19 + 838x^18 + 14852x^17 - 59663x^16 - 530509x^15 + 2576288x^14 + 9166942x^13 - 66398244x^12 - 28436177x^11 + 936461376x^10 - 1582339958x^9 - 5167321863x^8 + 23210975798x^7 - 20434819891x^6 - 69789330828x^5 + 247971929908x^4 - 375341626400x^3 + 321030524262x^2 - 151939714933x + 31214514281	\( -\,2^{14}\cdot 29^{18}\cdot 7608122372761^{2} \)	21T112	$[3]$ (GRH)
21.15.1312348190467104151476370758095143331434441717851465322827.1	x^21 - 2x^20 - 278x^19 + 1209x^18 + 28609x^17 - 188663x^16 - 1265361x^15 + 12878599x^14 + 13360899x^13 - 429530466x^12 + 780621370x^11 + 6395176809x^10 - 27439148621x^9 - 14072788600x^8 + 293371856110x^7 - 536805970235x^6 - 490924632667x^5 + 3155238661458x^4 - 4701437594680x^3 + 2873237146615x^2 - 294214513112x - 270275728417	\( -\,3^{7}\cdot 29^{18}\cdot 157^{2}\cdot 3307^{2}\cdot 3943^{2}\cdot 26083^{2} \)	21T112	$[3]$ (GRH)