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 54)

Label	Polynomial	Discriminant	Galois group	Class group
21.5.16253945603436050603615041.1	x^21 - x^20 - 6x^19 + 8x^18 + 15x^17 - 28x^16 - 39x^15 + 74x^14 + 112x^13 - 127x^12 - 227x^11 + 89x^10 + 306x^9 + x^8 - 244x^7 - 55x^6 + 122x^5 + 40x^4 - 41x^3 - 6x^2 + 8x - 1	\( 13^{8}\cdot 109^{8} \)	$\PSL(2,7)$ (as 21T14)	Trivial (GRH)
21.5.26730926988131422081122304.1	x^21 - 5x^20 + 11x^19 - 16x^18 + 25x^17 - 38x^16 + 36x^15 - 25x^14 + 18x^13 - 4x^12 - 3x^11 - 17x^10 - 23x^9 - 12x^8 + 55x^7 + 18x^6 - 46x^5 - 17x^4 + 19x^3 + 9x^2 - 2x - 1	\( 2^{18}\cdot 317^{8} \)	$\PSL(2,7)$ (as 21T14)	Trivial (GRH)
21.5.85594961606810871789418849.1	x^21 - 4x^19 + 23x^17 - 4x^16 - 54x^15 + 19x^14 + 94x^13 - 41x^12 - 115x^11 + 59x^10 + 30x^9 - 81x^8 + 20x^7 + 46x^6 - 18x^5 - 5x^4 + 13x^3 - 3x^2 + 1	\( 23^{8}\cdot 239^{3}\cdot 431^{3} \)	21T74	Trivial (GRH)
21.5.12329728569841547876503864001.1	x^21 - 2x^19 - x^18 - 8x^17 + 16x^15 + 16x^14 + 21x^13 - 27x^12 - 29x^11 - 63x^10 - 3x^9 + 86x^8 + 60x^7 + 11x^6 - 69x^5 - 49x^4 + 30x^3 + 16x^2 - 6x - 1	\( 7^{9}\cdot 12503^{5} \)	21T38	Trivial (GRH)
21.5.27984468103350046268523020288.1	x^21 - 2x^19 - 7x^18 - 5x^17 + 11x^16 + 17x^15 + 34x^14 - 32x^13 - 19x^12 - 120x^11 - 65x^10 - 276x^9 + 43x^8 + 539x^7 + 983x^6 + 606x^5 + 280x^4 + 121x^3 + 40x^2 - 13x - 5	\( 2^{27}\cdot 181^{9} \)	$SO(3,7)$ (as 21T20)	Trivial (GRH)
21.5.34815740375535437995421466177.1	x^21 - 2x^20 - 5x^18 + 12x^17 - 5x^16 + 4x^15 - 27x^14 + 16x^13 - 8x^12 + 8x^11 - 22x^10 - 8x^9 - 2x^8 + 9x^7 + 15x^6 + 12x^5 + 13x^4 + 2x^3 - x^2 - 2x - 1	\( 3^{8}\cdot 37^{5}\cdot 2381^{5} \)	21T38	Trivial (GRH)
21.5.41784109442335295334261365153.1	x^21 - 3x^19 - 2x^18 + 15x^17 + 6x^16 - 23x^15 - 30x^14 + 23x^13 + 44x^12 + 12x^11 - 43x^10 - 61x^9 + 51x^8 + 34x^7 - 5x^6 - 30x^5 - 9x^4 + 13x^3 + 7x^2 - 1	\( 23^{7}\cdot 107^{3}\cdot 21557^{3} \)	21T74	Trivial (GRH)
21.5.115368463283917314495572165601.1	x^21 - 6x^20 + 61x^18 - 66x^17 - 276x^16 + 428x^15 + 753x^14 - 1425x^13 - 1350x^12 + 3009x^11 + 1563x^10 - 4228x^9 - 1029x^8 + 3927x^7 + 143x^6 - 2298x^5 + 384x^4 + 686x^3 - 288x^2 - 21x + 31	\( 3^{32}\cdot 53^{8} \)	$A_7$ (as 21T33)	Trivial (GRH)
21.5.124359384669552020013669011789.1	x^21 - 7x^20 + 22x^19 - 36x^18 + 16x^17 + 90x^16 - 359x^15 + 819x^14 - 1304x^13 + 1479x^12 - 987x^11 - 415x^10 + 2526x^9 - 4472x^8 + 5201x^7 - 4365x^6 + 2658x^5 - 1122x^4 + 291x^3 - 23x^2 - 4x - 1	\( 1709^{9} \)	$SO(3,7)$ (as 21T20)	Trivial (GRH)
21.5.159763501833017076073675531441.1	x^21 - 2x^20 - 2x^19 + 26x^18 - 25x^17 - 37x^16 + 153x^15 - 69x^14 - 124x^13 + 277x^12 - 70x^11 - 106x^10 + 228x^9 - 76x^8 - 41x^7 + 116x^6 - 32x^5 - 16x^4 + 25x^3 - 2x^2 - 2x + 1	\( 11^{14}\cdot 29^{10} \)	$A_7$ (as 21T33)	Trivial (GRH)
21.5.9333296606842651868186378354688.1	x^21 - 21x^19 - 16x^18 + 189x^17 + 288x^16 - 841x^15 - 2160x^14 + 1275x^13 + 8272x^12 + 4257x^11 - 15024x^10 - 22193x^9 + 3456x^8 + 32877x^7 + 27088x^6 - 4104x^5 - 23856x^4 - 20464x^3 - 8928x^2 - 2112x - 128	\( 2^{14}\cdot 3^{15}\cdot 71^{3}\cdot 173\cdot 8623^{3} \)	21T152	Trivial (GRH)
21.5.39329325008024816253802715725824.1	x^21 - 21x^19 + 189x^17 - 961x^15 + 3075x^13 - 6543x^11 + 9503x^9 - 9387x^7 - 32x^6 + 6048x^5 + 192x^4 - 2352x^3 - 288x^2 + 576x + 128	\( 2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 8623^{3} \)	21T152	Trivial (GRH)
21.5.933167608477540848840155096819053.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 49x^16 - 903x^15 - 326x^14 + 2621x^13 + 1146x^12 - 4665x^11 - 2317x^10 + 5020x^9 + 2746x^8 - 3078x^7 - 1856x^6 + 916x^5 + 648x^4 - 62x^3 - 89x^2 - 17x - 1	\( 23^{7}\cdot 7013\cdot 101221\cdot 386091589202563 \)	21T162	Trivial (GRH)
21.5.1116460916873674344040763816460288.1	x^21 - 6x^19 - 4x^18 + 108x^15 + 216x^14 - 261x^13 - 1048x^12 - 1080x^11 - 480x^10 + 1378x^9 + 5832x^8 + 7533x^7 - 1566x^6 - 16092x^5 - 21528x^4 - 14992x^3 - 6048x^2 - 1344x - 128	\( 2^{14}\cdot 3^{37}\cdot 73^{6} \)	21T151	Trivial (GRH)
21.5.1387347928027439932553142925836288.1	x^21 - 6x^19 - 4x^18 - 9x^17 - 12x^16 + 104x^15 + 216x^14 + 144x^13 + 32x^12 - 729x^11 - 2430x^10 - 3969x^9 - 5076x^8 - 3393x^7 + 5790x^6 + 18252x^5 + 22104x^4 + 15056x^3 + 6048x^2 + 1344x + 128	\( 2^{14}\cdot 3^{21}\cdot 13^{6}\cdot 109^{6} \)	21T136	Trivial (GRH)
21.5.9711435496192079527872000480854016.1	x^21 - 21x^19 - 12x^18 + 189x^17 + 216x^16 - 897x^15 - 1620x^14 + 2115x^13 + 6440x^12 - 783x^11 - 14100x^10 - 8033x^9 + 15336x^8 + 18837x^7 - 4012x^6 - 16416x^5 - 5736x^4 + 4368x^3 + 3744x^2 + 1152x + 128	\( 2^{14}\cdot 3^{21}\cdot 7\cdot 13^{6}\cdot 109^{6} \)	21T147	Trivial (GRH)
21.5.11499163537178564173557477003259625.1	x^21 - 21x^19 - 3x^18 + 186x^17 + 52x^16 - 900x^15 - 368x^14 + 2573x^13 + 1365x^12 - 4381x^11 - 2832x^10 + 4243x^9 + 3250x^8 - 2077x^7 - 1933x^6 + 383x^5 + 551x^4 + 34x^3 - 55x^2 - 14x - 1	\( 5^{3}\cdot 31^{7}\cdot 3343677482854966554307 \)	21T162	Trivial (GRH)
21.5.20906801248251181022960306970083328.1	x^21 - 21x^19 - 18x^18 + 189x^17 + 324x^16 - 897x^15 - 2430x^14 + 2115x^13 + 9736x^12 - 783x^11 - 22062x^10 - 8161x^9 + 27108x^8 + 19989x^7 - 14274x^6 - 19872x^5 - 2160x^4 + 7760x^3 + 5184x^2 + 1344x + 128	\( 2^{14}\cdot 3^{21}\cdot 17^{6}\cdot 131^{6} \)	21T151	Trivial (GRH)
21.5.45589180307529253293163107814735872.1	x^21 - 6x^19 - 4x^18 + 54x^15 + 108x^14 - 90x^13 - 416x^12 + 54x^11 + 1428x^10 + 2128x^9 + 1440x^8 - 3894x^7 - 20348x^6 - 40824x^5 - 45360x^4 - 30240x^3 - 12096x^2 - 2688x - 256	\( 2^{32}\cdot 3^{21}\cdot 317^{6} \)	21T147	Trivial (GRH)
21.5.51331873337015277504466288255942656.1	x^21 - 21x^19 - 16x^18 + 189x^17 + 288x^16 - 845x^15 - 2160x^14 + 1335x^13 + 8328x^12 + 3897x^11 - 15696x^10 - 21465x^9 + 6480x^8 + 34425x^7 + 22352x^6 - 12636x^5 - 27192x^4 - 13840x^3 + 2880x^2 + 6528x + 2432	\( 2^{14}\cdot 3^{21}\cdot 13^{6}\cdot 37\cdot 109^{6} \)	21T147	Trivial (GRH)
21.5.52420739808321057540061613491273728.1	x^21 - 4x^18 - 36x^17 + 12x^16 - 32x^15 + 198x^14 - 45x^13 + 328x^12 - 1395x^11 - 120x^10 - 551x^9 + 3384x^8 + 135x^7 + 868x^6 - 5328x^5 - 2856x^4 + 1248x^3 + 1152x^2 - 128	\( 2^{14}\cdot 3^{21}\cdot 23^{4}\cdot 239^{3}\cdot 431^{3} \)	21T152	Trivial (GRH)
21.5.77818760793281506950152320930430976.1	x^21 + 21x^19 - 14x^18 + 162x^17 - 216x^16 + 585x^15 - 1026x^14 + 846x^13 - 584x^12 - 1755x^11 + 7098x^10 - 11146x^9 + 12312x^8 - 9693x^7 - 1278x^6 + 16092x^5 - 21528x^4 + 14992x^3 - 6048x^2 + 1344x - 128	\( 2^{14}\cdot 3^{21}\cdot 37\cdot 107^{3}\cdot 21557^{3} \)	21T152	Trivial (GRH)
21.5.91178360615058506586326215629471744.1	x^21 + 3x^19 - 14x^18 - 45x^17 + 12x^16 - 99x^15 + 522x^14 + 171x^13 + 272x^12 - 513x^11 - 954x^10 - 4555x^9 + 4032x^8 + 5343x^7 - 770x^6 - 4356x^5 - 1224x^4 - 880x^3 + 288x^2 + 576x + 128	\( 2^{33}\cdot 3^{21}\cdot 317^{6} \)	21T147	Trivial (GRH)
21.5.112898976198702382674617175389497600.1	x^21 - x^20 - 3x^19 + 10x^18 - 9x^17 - 5x^16 + 83x^15 - 139x^14 - 436x^13 - 411x^12 - 872x^11 - 742x^10 + 583x^9 + 984x^8 + 1484x^7 + 1498x^6 - 868x^5 - 1614x^4 - 396x^3 - 242x^2 - 180x + 50	\( 2^{8}\cdot 5^{2}\cdot 13^{6}\cdot 229^{6}\cdot 159191^{2} \)	21T148	Trivial (GRH)
21.5.635173019262506375451972532599400152.1	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 + 34x^5 + 6x^4 - 15x^3 + 4x^2 + 3x - 1	\( 2^{3}\cdot 3^{3}\cdot 6959\cdot 382373449525433\cdot 1105105461718151 \)	21T164	Trivial (GRH)
21.5.4972491713626942997259510586001451652.1	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 + 34x^5 + 6x^4 - 14x^3 + 4x^2 + 2x - 1	\( 2^{2}\cdot 8543\cdot 38299\cdot 309599\cdot 11606649319\cdot 1057328219989 \)	21T164	Trivial (GRH)
21.5.8701446204588103256973312430845198336.1	x^21 + 6x^19 - 16x^18 - 36x^17 - 144x^16 - 390x^15 - 270x^14 - 2019x^13 - 784x^12 - 9594x^11 - 2886x^10 - 15678x^9 + 10368x^8 + 15135x^7 + 33164x^6 + 52632x^5 + 28944x^4 + 22256x^3 + 12096x^2 + 5376x + 896	\( 2^{21}\cdot 3^{21}\cdot 7^{2}\cdot 13^{6}\cdot 109^{6} \)	21T136	Trivial (GRH)
21.5.44638629831273548205675162811445428224.1	x^21 + 18x^19 - 72x^18 + 33x^17 - 1080x^16 - 1098x^15 - 6357x^14 - 5688x^13 + 745x^12 - 3288x^11 - 9459x^10 - 59991x^9 - 82185x^8 - 50031x^7 + 2277x^6 + 5016x^5 + 693x^4 + 235x^3 - 24x^2 - 9x - 3	\( 2^{14}\cdot 3^{34}\cdot 73^{6}\cdot 1039^{2} \)	21T148	Trivial (GRH)
21.5.7325591165663336053947172202947791814656.1	x^21 - 21x^15 - 18x^14 - 1176x^9 - 2016x^8 - 864x^7 - 343x^3 - 882x^2 - 756x - 216	\( 2^{18}\cdot 3^{35}\cdot 7^{21} \)	21T159	Trivial (GRH)
21.5.37877966044500313823897559260772576526336.1	x^21 - 9x^20 + x^19 + 247x^18 - 1128x^17 + 1844x^16 + 1538x^15 - 10782x^14 + 6884x^13 + 36114x^12 - 29952x^11 - 179184x^10 + 356326x^9 + 190336x^8 - 1475463x^7 + 2097737x^6 - 1307021x^5 + 514117x^4 - 539862x^3 + 463496x^2 - 103930x - 22322	\( 2^{24}\cdot 11^{18}\cdot 67^{8} \)	$\PSL(3,4)$ (as 21T67)	$[3]$ (GRH)
21.5.37877966044500313823897559260772576526336.2	x^21 - 4x^20 - 34x^19 + 250x^18 + 49x^17 - 4806x^16 + 10924x^15 + 35134x^14 - 181415x^13 + 42258x^12 + 1174704x^11 - 2046920x^10 - 2612752x^9 + 11070150x^8 - 4343266x^7 - 21914184x^6 + 22487749x^5 + 21732094x^4 - 35335382x^3 - 9878676x^2 + 29752822x - 9397944	\( 2^{24}\cdot 11^{18}\cdot 67^{8} \)	$\PSL(3,4)$ (as 21T67)	$[3]$ (GRH)
21.5.101797990310360609370645863694989201915904.1	x^21 - 27x^19 - 10x^18 + 216x^17 + 210x^16 + 725x^15 + 288x^14 - 19932x^13 - 38346x^12 + 76410x^11 + 234948x^10 + 296881x^9 + 400932x^8 - 2455545x^7 - 3096076x^6 + 984564x^5 + 2353416x^4 - 412432x^3 + 313056x^2 + 208704x - 139136	\( 2^{14}\cdot 3^{28}\cdot 593^{3}\cdot 1033^{3}\cdot 1087^{2} \)	21T149	Trivial (GRH)
21.5.3052362005276854563388878363788994862792704.1	x^21 + 24x^19 - 16x^18 + 27x^17 - 36x^16 - 1662x^15 + 3348x^14 + 6192x^13 - 21968x^12 + 113589x^11 - 313734x^10 - 769213x^9 + 4433508x^8 - 9942741x^7 + 17192778x^6 - 23957316x^5 + 23677128x^4 - 15268592x^3 + 6066144x^2 - 1348032x + 128384	\( 2^{14}\cdot 3^{28}\cdot 13^{6}\cdot 17^{2}\cdot 59^{2}\cdot 109^{6} \)	21T125	Trivial (GRH)
21.5.14720060085349067194568080398784262958628864.1	x^21 - 2x^20 - 31x^19 + 14x^18 + 391x^17 + 839x^16 - 3642x^15 - 12906x^14 + 21946x^13 + 71319x^12 - 68080x^11 - 360180x^10 + 640978x^9 + 2101569x^8 - 6970238x^7 - 4352809x^6 + 28605427x^5 + 1130039x^4 - 63367644x^3 - 20310040x^2 + 139664899x - 45933317	\( 2^{14}\cdot 37^{2}\cdot 71^{4}\cdot 211^{2}\cdot 8623^{4}\cdot 10243^{2} \)	21T150	$[3]$ (GRH)
21.5.34745317865011611886244272150166776826286229.1	x^21 - 4x^20 - 90x^19 + 411x^18 + 3197x^17 - 18197x^16 - 51735x^15 + 435956x^14 + 181775x^13 - 5893180x^12 + 6396148x^11 + 41981559x^10 - 100640498x^9 - 107519374x^8 + 577043557x^7 - 292735101x^6 - 1092656431x^5 + 1385415391x^4 - 168690307x^3 + 1127770366x^2 - 3401414294x + 2197928707	\( 13^{8}\cdot 109^{7}\cdot 2767^{2}\cdot 5516617^{2} \)	21T135	$[3]$ (GRH)
21.5.38225159209415003799521096455077448244002816.1	x^21 - 6x^20 - 32x^19 + 220x^18 - 71x^17 - 902x^16 + 5320x^15 - 32524x^14 + 54335x^13 + 52730x^12 - 451160x^11 + 2325392x^10 - 6659517x^9 + 11243466x^8 - 15644640x^7 + 4239088x^6 + 54407188x^5 - 141705136x^4 + 265754960x^3 - 413258960x^2 + 333108324x - 162458072	\( 2^{36}\cdot 11^{19}\cdot 71^{7} \)	21T85	Trivial (GRH)
21.5.38472809971686930547892998764430923170316288.1	x^21 - 7x^15 - 6x^14 - 98x^9 - 168x^8 - 72x^7 + 343x^3 + 882x^2 + 756x + 216	\( 2^{18}\cdot 3^{18}\cdot 7^{35} \)	21T159	Trivial (GRH)
21.5.133228076990589082766892787384406577621911901.1	x^21 - 6x^20 - 109x^19 + 852x^18 + 4054x^17 - 49056x^16 - 19772x^15 + 1439643x^14 - 2914462x^13 - 20959603x^12 + 93601933x^11 + 73773944x^10 - 1209292466x^9 + 1909889766x^8 + 5378436465x^7 - 23689051810x^6 + 21160307927x^5 + 56749396678x^4 - 187732639665x^3 + 241813432964x^2 - 156262915354x + 41965405847	\( 3^{12}\cdot 19^{2}\cdot 271^{2}\cdot 2377^{2}\cdot 8689^{2}\cdot 280909^{3} \)	21T144	$[3]$ (GRH)
21.5.197997820955299038370240503694580326709547553.1	x^21 - 4x^20 - 88x^19 + 492x^18 + 2722x^17 - 23456x^16 - 18278x^15 + 554053x^14 - 909739x^13 - 6314467x^12 + 25005205x^11 + 14407592x^10 - 254496351x^9 + 409718150x^8 + 801650743x^7 - 3772994826x^6 + 3833766726x^5 + 6136704108x^4 - 22567165772x^3 + 29014890807x^2 - 18533507650x + 4925133913	\( 13^{7}\cdot 109^{7}\cdot 193^{2}\cdot 277^{2}\cdot 2457529^{2} \)	21T119	$[3]$ (GRH)
21.5.269309669801808513835250991351016462192214016.1	x^21 - 21x^15 - 18x^14 - 196x^9 - 336x^8 - 144x^7 - 343x^3 - 882x^2 - 756x - 216	\( 2^{18}\cdot 3^{18}\cdot 7^{36} \)	21T158	Trivial (GRH)
21.5.269309669801808513835250991351016462192214016.2	x^21 - 119x^15 - 102x^14 + 490x^9 + 840x^8 + 360x^7 - 343x^3 - 882x^2 - 756x - 216	\( 2^{18}\cdot 3^{18}\cdot 7^{36} \)	21T158	Trivial (GRH)
21.5.967513612600459482919915366453701038250655744.1	x^21 - 2x^20 - 107x^19 + 12x^18 + 5113x^17 + 8402x^16 - 127817x^15 - 435638x^14 + 1472941x^13 + 9521630x^12 + 1053675x^11 - 96583342x^10 - 208880543x^9 + 261576550x^8 + 1797849401x^7 + 2472649678x^6 - 2118845476x^5 - 12591311834x^4 - 20851985164x^3 - 18493569810x^2 - 8864880926x - 1810155266	\( 2^{24}\cdot 127^{2}\cdot 317^{6}\cdot 1867^{2}\cdot 1005409^{2} \)	21T145	$[3]$ (GRH)
21.5.2198467635783681876948922104226037199687332257.1	x^21 - 10x^20 - 64x^19 + 1060x^18 - 414x^17 - 43164x^16 + 143514x^15 + 756375x^14 - 5147167x^13 - 1076463x^12 + 81715797x^11 - 172342538x^10 - 513277027x^9 + 2674733564x^8 - 1554424873x^7 - 14048843964x^6 + 35554134906x^5 - 7390105232x^4 - 106207754284x^3 + 210434894369x^2 - 176222639918x + 58288245703	\( 13^{7}\cdot 109^{7}\cdot 437789723053^{2} \)	21T119	$[3]$ (GRH)
21.5.41117071763962069755227219080867949870560837632.1	x^21 - 21x^15 - 18x^14 - 49x^9 - 84x^8 - 36x^7 + 686x^3 + 1764x^2 + 1512x + 432	\( 2^{22}\cdot 3^{12}\cdot 7^{21}\cdot 229^{7} \)	21T162	Trivial (GRH)
21.5.45907693464999604842301273030242456313152526209.1	x^21 - 10x^20 - 103x^19 + 1448x^18 + 2152x^17 - 83871x^16 + 149173x^15 + 2385250x^14 - 9948420x^13 - 29032971x^12 + 247870758x^11 - 109823779x^10 - 2879373801x^9 + 7247306792x^8 + 9672661015x^7 - 71078825238x^6 + 89876215729x^5 + 141470849513x^4 - 604358702025x^3 + 843239380035x^2 - 569139139934x + 156657136133	\( 3^{2}\cdot 73^{2}\cdot 1249^{2}\cdot 2741^{6}\cdot 3877^{2}\cdot 9811^{2} \)	21T145	$[3]$ (GRH)
21.5.176458811836936653410887420859238778708665827328.1	x^21 - 7x^15 - 6x^14 - 147x^9 - 252x^8 - 108x^7 + 343x^3 + 882x^2 + 756x + 216	\( 2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 37^{7} \)	21T162	Trivial (GRH)
21.5.602157249685783577798964485113044249656963472141.1	x^21 - 7x^20 - 188x^19 + 778x^18 + 17508x^17 - 17843x^16 - 932140x^15 - 1542174x^14 + 26751880x^13 + 113453527x^12 - 285357185x^11 - 2903686327x^10 - 3836195996x^9 + 26214572726x^8 + 115945855524x^7 + 105703821028x^6 - 515904519138x^5 - 2086385055472x^4 - 3732486850641x^3 - 3805861147297x^2 - 2154688272800x - 530346668697	\( 3^{10}\cdot 67^{2}\cdot 127^{2}\cdot 20731^{2}\cdot 121591^{2}\cdot 280909^{3} \)	21T144	$[3]$ (GRH)
21.5.46733779666658912130977835785983849692699562082304.1	x^21 + 168x^15 - 144x^14 - 1176x^9 + 2016x^8 - 864x^7 - 9604x^3 + 24696x^2 - 21168x + 6048	\( 2^{22}\cdot 3^{30}\cdot 7^{34} \)	21T161	Trivial (GRH)
21.5.375297089550992134559186764062805170023268052107264.1	x^21 - 21x^15 - 18x^14 - 441x^9 - 756x^8 - 324x^7 - 343x^3 - 882x^2 - 756x - 216	\( 2^{26}\cdot 3^{40}\cdot 7^{28} \)	21T161	Trivial (GRH)
21.5.903969847468650282241904664048085301439776739532210176.1	x^21 + 14x^15 - 12x^14 - 196x^9 + 336x^8 - 144x^7 - 2058x^3 + 5292x^2 - 4536x + 1296	\( 2^{36}\cdot 3^{22}\cdot 7^{22}\cdot 101^{7} \)	21T160	Trivial (GRH)