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 139)

Label	Polynomial	Discriminant	Galois group	Class group
21.21.31993368160435329741277209296896.1	x^21 - 7x^20 - 13x^19 + 208x^18 - 267x^17 - 1890x^16 + 5310x^15 + 4781x^14 - 31996x^13 + 16294x^12 + 77939x^11 - 103109x^10 - 52599x^9 + 164304x^8 - 52267x^7 - 74030x^6 + 58226x^5 - 9947x^4 - 1399x^3 + 399x^2 - 10x - 1	\( 2^{18}\cdot 73^{14} \)	$C_7:C_3$ (as 21T2)	Trivial (GRH)
21.21.94142881806955162927406195366237.1	x^21 - 31x^19 - 3x^18 + 362x^17 + 32x^16 - 2119x^15 - 158x^14 + 6826x^13 + 676x^12 - 12509x^11 - 2021x^10 + 12809x^9 + 3175x^8 - 6710x^7 - 2254x^6 + 1442x^5 + 571x^4 - 97x^3 - 44x^2 + 2x + 1	\( 7^{14}\cdot 173^{9} \)	$F_7$ (as 21T4)	Trivial (GRH)
21.21.129934811447123020117172145698449.1	x^21 - 21x^19 + 189x^17 - 952x^15 - x^14 + 2940x^13 + 14x^12 - 5733x^11 - 77x^10 + 7007x^9 + 210x^8 - 5147x^7 - 294x^6 + 2072x^5 + 196x^4 - 371x^3 - 49x^2 + 14x + 1	\( 7^{38} \)	$C_{21}$ (as 21T1)	Trivial (GRH)
21.21.289519088236998333905056353746944.1	x^21 - 7x^20 - 21x^19 + 238x^18 - 245x^17 - 1848x^16 + 4732x^15 + 1861x^14 - 18536x^13 + 16856x^12 + 14819x^11 - 32431x^10 + 8897x^9 + 16660x^8 - 13533x^7 + 392x^6 + 3514x^5 - 1547x^4 + 161x^3 + 49x^2 - 14x + 1	\( 2^{18}\cdot 7^{32} \)	$C_7:C_3$ (as 21T2)	Trivial (GRH)
21.21.467056167777397914441056671494001.1	x^21 - x^20 - 20x^19 + 19x^18 + 171x^17 - 153x^16 - 816x^15 + 680x^14 + 2380x^13 - 1820x^12 - 4368x^11 + 3003x^10 + 5005x^9 - 3003x^8 - 3432x^7 + 1716x^6 + 1287x^5 - 495x^4 - 220x^3 + 55x^2 + 11x - 1	\( 43^{20} \)	$C_{21}$ (as 21T1)	Trivial (GRH)
21.21.2406787169604002863343075235725312.1	x^21 - 2x^20 - 32x^19 + 51x^18 + 432x^17 - 473x^16 - 3214x^15 + 1767x^14 + 14108x^13 - 305x^12 - 35382x^11 - 15763x^10 + 43350x^9 + 37753x^8 - 14531x^7 - 24311x^6 - 2788x^5 + 4492x^4 + 1052x^3 - 276x^2 - 56x + 8	\( 2^{27}\cdot 7^{14}\cdot 31^{9} \)	$F_7$ (as 21T4)	Trivial (GRH)
21.21.4020583887700065748020343503016809.1	x^21 - 36x^19 - 30x^18 + 450x^17 + 603x^16 - 2529x^15 - 4401x^14 + 6687x^13 + 14828x^12 - 7965x^11 - 25767x^10 + 2313x^9 + 23868x^8 + 3222x^7 - 11469x^6 - 2763x^5 + 2628x^4 + 692x^3 - 243x^2 - 45x + 9	\( 3^{36}\cdot 547^{6} \)	21T44	Trivial (GRH)
21.21.5535899331867573439772694059695993.1	x^21 - x^20 - 32x^19 + 27x^18 + 371x^17 - 273x^16 - 2035x^15 + 1336x^14 + 5767x^13 - 3508x^12 - 8825x^11 + 4990x^10 + 7522x^9 - 3911x^8 - 3561x^7 + 1665x^6 + 894x^5 - 359x^4 - 106x^3 + 34x^2 + 4x - 1	\( 7^{14}\cdot 71^{3}\cdot 283583^{3} \)	21T56	Trivial (GRH)
21.21.10807233650734185519504921698416857.1	x^21 - 2x^20 - 33x^19 + 54x^18 + 423x^17 - 578x^16 - 2679x^15 + 3163x^14 + 8911x^13 - 9346x^12 - 15389x^11 + 14554x^10 + 13283x^9 - 11462x^8 - 5756x^7 + 4570x^6 + 1193x^5 - 870x^4 - 105x^3 + 64x^2 + 4x - 1	\( 3^{3}\cdot 7^{14}\cdot 8388019^{3} \)	21T56	Trivial (GRH)
21.21.50434533500374375555123632117121024.1	x^21 - 3x^20 - 35x^19 + 103x^18 + 465x^17 - 1353x^16 - 2985x^15 + 8673x^14 + 9901x^13 - 29145x^12 - 17071x^11 + 52175x^10 + 14997x^9 - 49437x^8 - 6223x^7 + 23447x^6 + 1118x^5 - 4872x^4 - 114x^3 + 334x^2 - 6x - 2	\( 2^{38}\cdot 809^{8} \)	$\PSL(2,7)$ (as 21T14)	Trivial (GRH)
21.21.53902456438168738728940914094637056.1	x^21 - 3x^20 - 30x^19 + 86x^18 + 349x^17 - 953x^16 - 2026x^15 + 5248x^14 + 6380x^13 - 15522x^12 - 11326x^11 + 25300x^10 + 11568x^9 - 22602x^8 - 6770x^7 + 10604x^6 + 2191x^5 - 2351x^4 - 352x^3 + 194x^2 + 23x - 1	\( 2^{18}\cdot 728809^{5} \)	21T38	Trivial (GRH)
21.21.83880263553291436673128474467106816.1	x^21 - 7x^20 - 17x^19 + 210x^18 - 16x^17 - 2663x^16 + 2439x^15 + 18749x^14 - 25099x^13 - 80928x^12 + 128445x^11 + 222874x^10 - 385353x^9 - 394086x^8 + 698150x^7 + 436857x^6 - 736448x^5 - 284524x^4 + 401643x^3 + 95619x^2 - 81870x - 14407	\( 2^{30}\cdot 809^{6}\cdot 16693^{2} \)	21T115	Trivial (GRH)
21.21.84034131400742875647626644438054873.1	x^21 - 8x^20 + 8x^19 + 94x^18 - 269x^17 - 195x^16 + 1577x^15 - 1066x^14 - 3297x^13 + 4973x^12 + 1604x^11 - 7061x^10 + 2541x^9 + 3722x^8 - 3133x^7 - 183x^6 + 1045x^5 - 344x^4 - 56x^3 + 58x^2 - 13x + 1	\( 71^{3}\cdot 109^{2}\cdot 29437^{2}\cdot 283583^{3} \)	21T139	Trivial (GRH)
21.21.86620507852136986313803229728551889.1	x^21 - 6x^20 - 33x^19 + 233x^18 + 329x^17 - 3262x^16 - 1293x^15 + 23199x^14 + 2230x^13 - 94736x^12 - 9112x^11 + 230162x^10 + 58671x^9 - 317626x^8 - 158283x^7 + 200827x^6 + 166516x^5 - 10000x^4 - 42256x^3 - 13584x^2 - 1600x - 64	\( 313^{14} \)	$C_7:C_3$ (as 21T2)	Trivial (GRH)
21.21.123701082051105541760811365981795257.1	x^21 - 6x^20 - 6x^19 + 102x^18 - 113x^17 - 557x^16 + 1235x^15 + 876x^14 - 4391x^13 + 1595x^12 + 6346x^11 - 6325x^10 - 2479x^9 + 6202x^8 - 1793x^7 - 1829x^6 + 1407x^5 - 158x^4 - 178x^3 + 84x^2 - 15x + 1	\( 71^{3}\cdot 283583^{3}\cdot 3892951^{2} \)	21T139	Trivial (GRH)
21.21.354339010128398236785800917962194944.1	x^21 - 2x^20 - 43x^19 + 68x^18 + 733x^17 - 988x^16 - 6395x^15 + 8040x^14 + 30708x^13 - 39018x^12 - 79894x^11 + 110250x^10 + 98768x^9 - 165588x^8 - 29458x^7 + 106634x^6 - 26074x^5 - 14068x^4 + 6574x^3 - 756x^2 - 8x + 4	\( 2^{22}\cdot 4129^{8} \)	$\PSL(2,7)$ (as 21T14)	Trivial (GRH)
21.21.656939336998075042895784450637466521.1	x^21 - 7x^20 - 42x^19 + 476x^18 - 630x^17 - 6384x^16 + 26810x^15 - 16603x^14 - 134918x^13 + 424998x^12 - 570745x^11 + 331016x^10 + 63070x^9 - 212492x^8 + 109569x^7 - 1302x^6 - 18788x^5 + 6559x^4 - 462x^3 - 154x^2 + 28x - 1	\( 7^{32}\cdot 29^{6} \)	21T28	Trivial (GRH)
21.21.988509426193021817935320621873627136.1	x^21 - 7x^20 - 45x^19 + 362x^18 + 799x^17 - 7508x^16 - 7656x^15 + 79875x^14 + 49998x^13 - 459906x^12 - 252543x^11 + 1367403x^10 + 782753x^9 - 1809622x^8 - 897807x^7 + 1116746x^6 + 430780x^5 - 303555x^4 - 87913x^3 + 25235x^2 + 7546x + 343	\( 2^{18}\cdot 7^{14}\cdot 11^{18} \)	$C_7:C_3$ (as 21T2)	Trivial (GRH)
21.21.3225600451670981203653263815902232576.1	x^21 - 7x^20 - 23x^19 + 222x^18 + 211x^17 - 3052x^16 - 1066x^15 + 23585x^14 + 4211x^13 - 111319x^12 - 18090x^11 + 327519x^10 + 67407x^9 - 587331x^8 - 157934x^7 + 593915x^6 + 197792x^5 - 276738x^4 - 106383x^3 + 26935x^2 + 9946x - 113	\( 2^{18}\cdot 7^{14}\cdot 1621^{6} \)	21T44	Trivial (GRH)
21.21.3308969060286554443983958344548655193.1	x^21 - 6x^20 - 13x^19 + 122x^18 - 9x^17 - 857x^16 + 633x^15 + 2723x^14 - 2843x^13 - 4388x^12 + 5538x^11 + 3675x^10 - 5631x^9 - 1441x^8 + 3112x^7 + 105x^6 - 903x^5 + 87x^4 + 121x^3 - 21x^2 - 5x + 1	\( 71^{5}\cdot 283583^{5} \)	21T38	Trivial (GRH)
21.21.4723624648173806587548558901725364224.1	x^21 - 3x^20 - 57x^19 + 208x^18 + 1017x^17 - 4470x^16 - 6390x^15 + 37887x^14 + 15282x^13 - 158528x^12 - 1233x^11 + 354021x^10 - 59437x^9 - 428406x^8 + 104895x^7 + 270894x^6 - 71394x^5 - 79299x^4 + 18503x^3 + 7767x^2 - 1188x - 19	\( 2^{18}\cdot 3^{28}\cdot 31^{12} \)	$C_3\times C_7:C_3$ (as 21T7)	Trivial (GRH)
21.21.4807893938270387570039361667473274513.1	x^21 - x^20 - 42x^19 + 45x^18 + 679x^17 - 739x^16 - 5517x^15 + 5869x^14 + 24849x^13 - 25116x^12 - 63963x^11 + 60287x^10 + 91976x^9 - 80247x^8 - 67381x^7 + 54968x^6 + 19398x^5 - 15878x^4 - 214x^3 + 599x^2 + 7x - 1	\( 7^{14}\cdot 577^{9} \)	$C_3\times D_7$ (as 21T3)	Trivial (GRH)
21.21.5553311747011057717852454287020950521.1	x^21 - 3x^20 - 36x^19 + 116x^18 + 386x^17 - 1470x^16 - 1092x^15 + 6907x^14 - 670x^13 - 14826x^12 + 7395x^11 + 15158x^10 - 11778x^9 - 6566x^8 + 7595x^7 + 422x^6 - 1956x^5 + 297x^4 + 159x^3 - 35x^2 - 4x + 1	\( 7^{14}\cdot 14197^{6} \)	21T28	Trivial (GRH)
21.21.7104507042655360857983379370527686656.1	x^21 - 8x^20 - 26x^19 + 362x^18 - 210x^17 - 5560x^16 + 10446x^15 + 37382x^14 - 105928x^13 - 111352x^12 + 494124x^11 + 77632x^10 - 1188672x^9 + 302096x^8 + 1451596x^7 - 663064x^6 - 803144x^5 + 470904x^4 + 128848x^3 - 105968x^2 + 12440x + 104	\( 2^{18}\cdot 7^{14}\cdot 43^{12} \)	$C_3\times C_7:C_3$ (as 21T7)	Trivial (GRH)
21.21.12695436325929104475497760602812923904.1	x^21 - 4x^20 - 35x^19 + 143x^18 + 458x^17 - 1969x^16 - 2851x^15 + 13594x^14 + 8657x^13 - 51238x^12 - 10174x^11 + 106769x^10 - 4930x^9 - 118435x^8 + 19116x^7 + 64849x^6 - 11453x^5 - 15363x^4 + 1152x^3 + 1412x^2 + 107x + 1	\( 2^{14}\cdot 37^{7}\cdot 71^{3}\cdot 283583^{3} \)	21T74	Trivial (GRH)
21.21.24784147696206024568626130820393680896.1	x^21 - x^20 - 43x^19 + 38x^18 + 726x^17 - 563x^16 - 6224x^15 + 4226x^14 + 29487x^13 - 17408x^12 - 78852x^11 + 40272x^10 + 115576x^9 - 51908x^8 - 84389x^7 + 35680x^6 + 24314x^5 - 10479x^4 - 699x^3 + 279x^2 + 5x - 1	\( 2^{14}\cdot 3^{3}\cdot 37^{7}\cdot 8388019^{3} \)	21T74	Trivial (GRH)
21.21.34061631211994616985595974961974214656.1	x^21 - 42x^19 + 756x^17 - 7616x^15 - 24x^14 + 47040x^13 + 672x^12 - 183456x^11 - 7392x^10 + 448448x^9 + 40320x^8 - 658480x^7 - 112896x^6 + 525728x^5 + 150528x^4 - 171136x^3 - 75264x^2 - 4480x + 832	\( 2^{18}\cdot 7^{38} \)	$C_7\times C_7:C_3$ (as 21T13)	Trivial (GRH)
21.21.34061631211994616985595974961974214656.2	x^21 - 42x^19 + 756x^17 - 7616x^15 - 32x^14 + 47040x^13 + 896x^12 - 183456x^11 - 9856x^10 + 448448x^9 + 53760x^8 - 658368x^7 - 150528x^6 + 524160x^5 + 200704x^4 - 164864x^3 - 100352x^2 - 10752x + 512	\( 2^{18}\cdot 7^{38} \)	$C_7\times C_7:C_3$ (as 21T13)	Trivial (GRH)
21.21.40038978752353387663316403260542418944.1	x^21 - 5x^20 - 63x^19 + 346x^18 + 1377x^17 - 8838x^16 - 12180x^15 + 107597x^14 + 26142x^13 - 675808x^12 + 238721x^11 + 2184149x^10 - 1549027x^9 - 3422708x^8 + 3271777x^7 + 2382104x^6 - 2931914x^5 - 581659x^4 + 1163183x^3 - 57751x^2 - 168018x + 32573	\( 2^{18}\cdot 199^{14} \)	$C_7:C_3$ (as 21T2)	Trivial (GRH)
21.21.114304429232803182734215052479732645888.1	x^21 - 2x^20 - 34x^19 + 44x^18 + 440x^17 - 336x^16 - 2735x^15 + 1258x^14 + 9114x^13 - 2548x^12 - 17108x^11 + 2708x^10 + 18395x^9 - 1186x^8 - 11144x^7 - 160x^6 + 3584x^5 + 284x^4 - 539x^3 - 66x^2 + 28x + 4	\( 2^{32}\cdot 37^{7}\cdot 809^{6} \)	21T27	Trivial (GRH)
21.21.114304429232803182734215052479732645888.2	x^21 - 40x^19 - 7x^18 + 520x^17 + 142x^16 - 3169x^15 - 1000x^14 + 10266x^13 + 3289x^12 - 18576x^11 - 5760x^10 + 18906x^9 + 5676x^8 - 10504x^7 - 3154x^6 + 2952x^5 + 888x^4 - 350x^3 - 96x^2 + 12x + 2	\( 2^{32}\cdot 37^{7}\cdot 809^{6} \)	21T27	Trivial (GRH)
21.21.142736986105602839685204351151303673689.1	x^21 - 4x^20 - 46x^19 + 192x^18 + 752x^17 - 3392x^16 - 5652x^15 + 29504x^14 + 19392x^13 - 138787x^12 - 17833x^11 + 362514x^10 - 59599x^9 - 524134x^8 + 180953x^7 + 401883x^6 - 198823x^5 - 141878x^4 + 97061x^3 + 10664x^2 - 16800x + 2843	\( 7^{14}\cdot 29^{18} \)	$C_{21}$ (as 21T1)	Trivial (GRH)
21.21.162172589188461288482391931972916633457.1	x^21 - 6x^20 - 30x^19 + 213x^18 + 306x^17 - 2967x^16 - 955x^15 + 21012x^14 - 3636x^13 - 82163x^12 + 34194x^11 + 179256x^10 - 94753x^9 - 207960x^8 + 117288x^7 + 111435x^6 - 64710x^5 - 15456x^4 + 13205x^3 - 2085x^2 + 99x - 1	\( 3^{28}\cdot 577^{9} \)	$C_3\times D_7$ (as 21T3)	Trivial (GRH)
21.21.165741453589750353970901230963251252577.1	x^21 - 9x^20 + 14x^19 + 97x^18 - 353x^17 - 79x^16 + 1929x^15 - 2039x^14 - 3316x^13 + 7255x^12 - 293x^11 - 8640x^10 + 5511x^9 + 3057x^8 - 4428x^7 + 801x^6 + 929x^5 - 488x^4 + 17x^3 + 44x^2 - 12x + 1	\( 13^{2}\cdot 433^{2}\cdot 577^{9}\cdot 859^{2} \)	21T76	Trivial (GRH)
21.21.204156663640790261439595720457863561216.1	x^21 - 2x^20 - 38x^19 + 69x^18 + 568x^17 - 933x^16 - 4319x^15 + 6417x^14 + 18052x^13 - 24428x^12 - 41833x^11 + 52044x^10 + 51770x^9 - 58979x^8 - 31596x^7 + 30977x^6 + 9259x^5 - 5733x^4 - 1455x^3 + 114x^2 + 17x - 1	\( 2^{30}\cdot 7^{14}\cdot 809^{6} \)	$C_3\times \PSL(2,7)$ (as 21T22)	Trivial (GRH)
21.21.204156663640790261439595720457863561216.2	x^21 - 40x^19 - 8x^18 + 579x^17 + 128x^16 - 4024x^15 - 828x^14 + 14642x^13 + 3152x^12 - 29068x^11 - 6976x^10 + 31979x^9 + 8240x^8 - 19278x^7 - 4888x^6 + 6120x^5 + 1376x^4 - 924x^3 - 168x^2 + 48x + 8	\( 2^{30}\cdot 7^{14}\cdot 809^{6} \)	$C_3\times \PSL(2,7)$ (as 21T22)	Trivial (GRH)
21.21.211665195536810304505959087862660999097.1	x^21 - 6x^20 - 55x^19 + 395x^18 + 737x^17 - 8463x^16 + 1551x^15 + 74059x^14 - 69748x^13 - 277632x^12 + 287628x^11 + 551344x^10 - 344830x^9 - 626935x^8 - 12040x^7 + 210641x^6 + 62865x^5 - 3790x^4 - 2084x^3 + 82x^2 + 18x - 1	\( 11^{7}\cdot 43^{19} \)	$C_7\times S_3$ (as 21T6)	Trivial (GRH)
21.21.258687132988217200735331406301989120625.1	x^21 - 5x^20 - 14x^19 + 113x^18 - 41x^17 - 803x^16 + 1245x^15 + 1847x^14 - 5518x^13 + 541x^12 + 9121x^11 - 7098x^10 - 4571x^9 + 8031x^8 - 1750x^7 - 2491x^6 + 1653x^5 - 116x^4 - 227x^3 + 96x^2 - 16x + 1	\( 5^{4}\cdot 7^{2}\cdot 577^{9}\cdot 34519^{2} \)	21T76	Trivial (GRH)
21.21.2130661905984884162896886347384923357184.1	x^21 - 42x^19 + 756x^17 - 7616x^15 - 18x^14 + 47040x^13 + 504x^12 - 183456x^11 - 5544x^10 + 448448x^9 + 30240x^8 - 659008x^7 - 84672x^6 + 533120x^5 + 112896x^4 - 200704x^3 - 56448x^2 + 25088x + 7808	\( 2^{18}\cdot 7^{25}\cdot 67^{7} \)	21T40	Trivial (GRH)
21.21.2130661905984884162896886347384923357184.2	x^21 - 42x^19 + 756x^17 - 7616x^15 - 22x^14 + 47040x^13 + 616x^12 - 183456x^11 - 6776x^10 + 448448x^9 + 36960x^8 - 658680x^7 - 103488x^6 + 528528x^5 + 137984x^4 - 182336x^3 - 68992x^2 + 6720x + 3424	\( 2^{18}\cdot 7^{25}\cdot 67^{7} \)	21T40	Trivial (GRH)
21.21.2279745164404038997779147090610663456768.1	x^21 - 48x^19 - 30x^18 + 812x^17 + 720x^16 - 6550x^15 - 6230x^14 + 28968x^13 + 26324x^12 - 75324x^11 - 61308x^10 + 117252x^9 + 83328x^8 - 106488x^7 - 67836x^6 + 52528x^5 + 32136x^4 - 11796x^3 - 7560x^2 + 600x + 500	\( 2^{20}\cdot 37^{7}\cdot 73^{12} \)	$S_3\times C_7:C_3$ (as 21T11)	Trivial (GRH)
21.21.4814587615056751193058435502319478353721.1	x^21 - 3x^20 - 54x^19 + 142x^18 + 1131x^17 - 2619x^16 - 12066x^15 + 24246x^14 + 72072x^13 - 121339x^12 - 250395x^11 + 331947x^10 + 508726x^9 - 470445x^8 - 589995x^7 + 290104x^6 + 363423x^5 - 39813x^4 - 91517x^3 - 11880x^2 + 3264x + 289	\( 3^{28}\cdot 29^{18} \)	$C_{21}$ (as 21T1)	Trivial (GRH)
21.21.5401375097241767710636700842081455702016.1	x^21 - 10x^20 + 24x^19 + 71x^18 - 400x^17 + 241x^16 + 1639x^15 - 2929x^14 - 1424x^13 + 7382x^12 - 3629x^11 - 6162x^10 + 6918x^9 + 411x^8 - 3588x^7 + 1279x^6 + 541x^5 - 433x^4 + 43x^3 + 34x^2 - 11x + 1	\( 2^{30}\cdot 733^{2}\cdot 809^{6}\cdot 5779^{2} \)	21T115	Trivial (GRH)
21.21.9648562022394437229448659063747720411049.1	x^21 - 6x^20 - 4x^19 + 80x^18 - 51x^17 - 446x^16 + 468x^15 + 1357x^14 - 1637x^13 - 2474x^12 + 3019x^11 + 2805x^10 - 3130x^9 - 1994x^8 + 1806x^7 + 870x^6 - 543x^5 - 217x^4 + 73x^3 + 26x^2 - 3x - 1	\( 13\cdot 31\cdot 5879\cdot 4072434299478877473823285329305477 \)	21T164	Trivial (GRH)
21.21.11025907029010321740711464965433403326464.1	x^21 - x^20 - 49x^19 + 49x^18 + 928x^17 - 894x^16 - 8860x^15 + 7979x^14 + 46924x^13 - 38237x^12 - 141310x^11 + 99810x^10 + 233828x^9 - 134152x^8 - 188281x^7 + 79711x^6 + 52846x^5 - 17134x^4 - 3010x^3 + 526x^2 + 50x - 1	\( 2^{14}\cdot 37^{7}\cdot 577^{9} \)	$S_3\times D_7$ (as 21T8)	Trivial (GRH)
21.21.15163353941019559927284672206156883145561.1	x^21 - 8x^20 + 2x^19 + 138x^18 - 329x^17 - 498x^16 + 2597x^15 - 1346x^14 - 6167x^13 + 8760x^12 + 2962x^11 - 13039x^10 + 5696x^9 + 5752x^8 - 5865x^7 + 477x^6 + 1450x^5 - 638x^4 + 14x^3 + 52x^2 - 13x + 1	\( 29^{18}\cdot 8488201^{2} \)	21T61	Trivial (GRH)
21.21.18908426022848469258131981954191571483929.1	x^21 - 6x^20 - 12x^19 + 142x^18 - 145x^17 - 894x^16 + 2061x^15 + 1246x^14 - 7671x^13 + 4308x^12 + 9642x^11 - 12723x^10 - 928x^9 + 9880x^8 - 4985x^7 - 1363x^6 + 1982x^5 - 496x^4 - 104x^3 + 78x^2 - 15x + 1	\( 29^{18}\cdot 9478633^{2} \)	21T61	Trivial (GRH)
21.21.26563903911883330121619159719439583143721.1	x^21 - 9x^20 + 14x^19 + 98x^18 - 357x^17 - 91x^16 + 2009x^15 - 2109x^14 - 3605x^13 + 7985x^12 - 709x^11 - 9214x^10 + 6536x^9 + 2516x^8 - 4458x^7 + 961x^6 + 856x^5 - 474x^4 + 16x^3 + 44x^2 - 12x + 1	\( 19^{2}\cdot 149^{6}\cdot 211^{6}\cdot 276049^{2} \)	21T132	Trivial (GRH)
21.21.41151941544955240315942375795013592028729.1	x^21 - 5x^20 - 14x^19 + 112x^18 - 31x^17 - 833x^16 + 1235x^15 + 2081x^14 - 5975x^13 + 683x^12 + 9749x^11 - 7990x^10 - 4232x^9 + 8232x^8 - 1974x^7 - 2437x^6 + 1666x^5 - 124x^4 - 226x^3 + 96x^2 - 16x + 1	\( 149^{6}\cdot 211^{6}\cdot 6528133^{2} \)	21T132	Trivial (GRH)
21.21.55599491807759182102966212420960256000000.1	x^21 - 49x^19 + 959x^17 - 9758x^15 - 202x^14 + 56350x^13 + 4494x^12 - 190169x^11 - 35952x^10 + 373723x^9 + 126630x^8 - 403689x^7 - 210700x^6 + 199850x^5 + 157780x^4 - 15435x^3 - 41160x^2 - 12600x - 1220	\( 2^{26}\cdot 5^{6}\cdot 7^{21}\cdot 37^{7} \)	21T55	Trivial (GRH)