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 96)

Label	Polynomial	Discriminant	Galois group	Class group
21.9.2523828389200110188894232441.1	x^21 - 9x^19 + 3x^17 + 66x^15 - 75x^14 - 90x^13 + 198x^12 - 21x^11 + 63x^9 - 177x^8 + 54x^7 + 45x^6 - 51x^5 + 18x^4 - 8x^3 - 3x^2 + 3	\( 3^{34}\cdot 73^{6} \)	21T44	Trivial (GRH)
21.9.3326751700248238687839567609.1	x^21 - 6x^20 + 12x^19 - 2x^18 - 27x^17 + 36x^16 - 39x^15 + 180x^14 - 396x^13 + 183x^12 + 558x^11 - 738x^10 - 339x^9 + 1035x^8 + 27x^7 - 936x^6 + 27x^5 + 621x^4 + 99x^3 - 189x^2 - 81x - 9	\( 3^{36}\cdot 53^{6} \)	21T44	Trivial (GRH)
21.9.18453551447289410297167049873.1	x^21 - 2x^20 - 2x^19 + 12x^18 - 25x^17 + x^16 + 48x^15 - 91x^14 + 103x^13 - 12x^12 - 110x^11 + 272x^10 - 277x^9 - 78x^8 + 278x^7 - 46x^6 + 11x^5 - 114x^4 + 3x^3 + 93x^2 - 19x - 23	\( 71^{3}\cdot 8623^{3}\cdot 283573^{2} \)	21T139	Trivial (GRH)
21.9.77814973866654515283350056553.1	x^21 - 8x^20 + 15x^19 + 42x^18 - 181x^17 + 43x^16 + 664x^15 - 785x^14 - 999x^13 + 2386x^12 - 12x^11 - 3337x^10 + 2186x^9 + 1818x^8 - 2845x^7 + 445x^6 + 1349x^5 - 754x^4 - 347x^3 + 279x^2 + 76x + 1	\( 71^{3}\cdot 157^{2}\cdot 3709^{2}\cdot 8623^{3} \)	21T139	Trivial (GRH)
21.9.155640552803090077912213347113.1	x^21 - x^20 + 3x^19 - 8x^17 + 11x^16 - 38x^15 - 57x^14 - 99x^13 - 54x^12 + 84x^11 + 86x^10 + 362x^9 - 80x^8 - 244x^7 + 140x^6 - 71x^5 + 3x^4 + 9x^3 - 7x^2 + 2x + 1	\( 7^{14}\cdot 71^{3}\cdot 8623^{3} \)	21T56	Trivial (GRH)
21.9.155896945048377999491545839641.1	x^21 - 15x^19 - 4x^18 + 93x^17 + 12x^16 - 281x^15 + 63x^14 + 375x^13 - 266x^12 - 23x^11 + 432x^10 - 39x^9 - 220x^8 - 298x^7 + 36x^6 + 171x^5 + 26x^4 - 33x^3 - 1	\( 7^{14}\cdot 593^{3}\cdot 1033^{3} \)	21T56	Trivial (GRH)
21.9.426526997774818621923125282529.1	x^21 - 12x^19 - 6x^18 + 3x^17 - 129x^16 - 144x^15 + 111x^14 - 273x^13 - 611x^12 + 93x^11 + 426x^10 + 1596x^9 + 1509x^8 - 1977x^7 - 1134x^6 + 1617x^5 + 435x^4 - 254x^3 - 39x^2 + 18x + 3	\( 3^{34}\cdot 13^{2}\cdot 73^{6} \)	21T132	Trivial (GRH)
21.9.1115970269016553289813936756281.1	x^21 - 2x^20 - 10x^19 + 31x^18 - 24x^17 - 152x^16 + 288x^15 + 7x^14 - 127x^13 + 465x^12 - 466x^11 + 1998x^10 + 1430x^9 + 2635x^8 + 613x^7 - 570x^6 - 1087x^5 - 669x^4 + 195x^3 + 193x^2 + 93x - 53	\( 13^{16}\cdot 109^{6} \)	$C_3\times \PSL(2,7)$ (as 21T22)	Trivial (GRH)
21.9.1115970269016553289813936756281.2	x^21 - x^20 - 12x^19 + 8x^18 + 49x^17 - 14x^16 - 94x^15 + 123x^14 - 7x^13 - 1078x^12 + 1150x^11 + 1019x^10 - 4414x^9 + 6562x^8 + 4203x^7 - 14456x^6 + 3035x^5 + 9936x^4 - 5649x^3 - 1996x^2 + 1631x - 79	\( 13^{16}\cdot 109^{6} \)	$C_3\times \PSL(2,7)$ (as 21T22)	Trivial (GRH)
21.9.5249831164096086007511385454857.1	x^21 - 12x^19 - 12x^18 + 63x^17 + 63x^16 - 167x^15 - 18x^14 + 249x^13 + 133x^12 - 180x^11 - 1605x^10 - 24x^9 + 2187x^8 + 498x^7 + 232x^6 - 1215x^5 - 1710x^4 + 929x^3 + 765x^2 - 321x - 173	\( 3^{28}\cdot 71^{3}\cdot 8623^{3} \)	21T130	Trivial (GRH)
21.9.13686230803976276974088591656489.1	x^21 - 7x^20 + 7x^19 + 55x^18 - 132x^17 - 112x^16 + 589x^15 - 188x^14 - 1078x^13 + 1042x^12 + 579x^11 - 1297x^10 + 411x^9 + 431x^8 - 127x^7 - 455x^6 - 126x^5 + 888x^4 - 460x^3 - 146x^2 + 127x - 1	\( 17^{10}\cdot 19^{2}\cdot 61^{2}\cdot 131^{6} \)	21T132	Trivial (GRH)
21.9.16188697197113842243081854457921.1	x^21 - 9x^20 + 20x^19 + 49x^18 - 258x^17 + 121x^16 + 953x^15 - 1378x^14 - 1194x^13 + 3586x^12 - 572x^11 - 3807x^10 + 2407x^9 + 1581x^8 - 1937x^7 + 33x^6 + 644x^5 - 231x^4 - 49x^3 + 50x^2 - 12x + 1	\( 13^{8}\cdot 109^{6}\cdot 181^{2}\cdot 601^{2} \)	21T115	Trivial (GRH)
21.9.19349000070270070662923174526976.1	x^21 - 5x^20 + 20x^19 - 76x^18 + 244x^17 - 536x^16 + 482x^15 + 655x^14 - 2970x^13 + 3601x^12 + 274x^11 - 4051x^10 + 4053x^9 + 428x^8 - 4459x^7 + 1158x^6 + 825x^5 + 130x^4 + 898x^3 - 516x^2 - 260x + 73	\( 2^{14}\cdot 79^{8}\cdot 9199^{3} \)	21T74	Trivial (GRH)
21.9.27358425020235623782451595684241.1	x^21 - 8x^20 + 11x^19 + 69x^18 - 212x^17 - 125x^16 + 1107x^15 - 639x^14 - 2429x^13 + 3139x^12 + 1803x^11 - 4950x^10 + 904x^9 + 3274x^8 - 2054x^7 - 553x^6 + 924x^5 - 224x^4 - 88x^3 + 61x^2 - 13x + 1	\( 13^{6}\cdot 19^{2}\cdot 109^{6}\cdot 96757^{2} \)	21T115	Trivial (GRH)
21.9.101010740538307114619974951370752.1	x^21 - 4x^20 + 8x^19 - 4x^18 - 36x^17 + 48x^16 - 52x^15 + 114x^14 - 216x^12 + 584x^11 - 404x^10 - 140x^9 + 160x^8 - 208x^7 + 204x^6 - 192x^5 + 144x^4 - 4x^3 - 32x^2 + 16x - 4	\( 2^{20}\cdot 37^{7}\cdot 317^{6} \)	21T27	Trivial (GRH)
21.9.101010740538307114619974951370752.2	x^21 - 2x^20 - 2x^19 + 16x^18 - 8x^17 - 68x^16 - 150x^15 + 164x^14 + 240x^13 - 62x^12 - 256x^11 + 30x^10 + 512x^9 - 436x^8 - 114x^7 + 216x^6 - 44x^5 - 44x^4 - 2x^3 + 20x^2 + 4x - 2	\( 2^{20}\cdot 37^{7}\cdot 317^{6} \)	21T27	Trivial (GRH)
21.9.356929309835813972908052362379264.1	x^21 - x^20 + 4x^19 + x^18 - 17x^17 + 24x^16 - 107x^15 - 238x^14 - 467x^13 - 355x^12 + 497x^11 + 812x^10 + 3209x^9 - 222x^8 - 3450x^7 + 1169x^6 - 373x^5 + 2x^4 + 32x^3 - 12x^2 + 3x + 1	\( 2^{14}\cdot 37^{7}\cdot 71^{3}\cdot 8623^{3} \)	21T74	Trivial (GRH)
21.9.1772300592033793551446534901465088.1	x^21 - 2x^20 - 10x^19 + 18x^18 + 68x^17 - 28x^16 - 376x^15 - 352x^14 + 648x^13 + 856x^12 - 848x^11 - 912x^10 + 1240x^9 + 432x^8 - 1144x^7 + 120x^6 + 448x^5 - 144x^3 - 64x^2 + 32x + 16	\( 2^{20}\cdot 7^{6}\cdot 37^{7}\cdot 73^{6} \)	21T57	Trivial (GRH)
21.9.2103209751169770458112224890011648.1	x^21 - 27x^17 - 36x^16 - 39x^15 - 54x^14 + 45x^13 + 208x^12 + 945x^11 + 2526x^10 + 3985x^9 + 5076x^8 + 3393x^7 - 5790x^6 - 18252x^5 - 22104x^4 - 15056x^3 - 6048x^2 - 1344x - 128	\( 2^{14}\cdot 3^{21}\cdot 107^{3}\cdot 21557^{3} \)	21T152	Trivial (GRH)
21.9.2279162600361785110437461456142336.1	x^21 - 3x^19 - 2x^18 - 45x^17 + 6x^16 + 57x^15 - 18x^14 + 384x^13 - 82x^12 - 369x^11 - 114x^10 - 235x^9 + 1422x^8 + 3867x^7 + 1160x^6 - 3312x^5 - 1512x^4 + 112x^3 + 288x^2 + 384x - 128	\( 2^{14}\cdot 3^{21}\cdot 23^{3}\cdot 239^{3}\cdot 431^{3} \)	21T152	Trivial (GRH)
21.9.3911025283603050524395497857313561.1	x^21 - 6x^20 + 12x^19 + 5x^18 - 66x^17 + 108x^16 + 4x^15 - 261x^14 + 351x^13 - 15x^12 - 459x^11 + 486x^10 - 27x^9 - 342x^8 + 279x^7 - 17x^6 - 108x^5 + 69x^4 - 6x^3 - 12x^2 + 6x - 1	\( 3^{18}\cdot 7^{14}\cdot 13^{2}\cdot 296773^{2} \)	21T153	Trivial (GRH)
21.9.5581771880796940582540826805350057.1	x^21 - 2x^20 - 29x^19 + 68x^18 + 307x^17 - 748x^16 - 1496x^15 + 3371x^14 + 3691x^13 - 7180x^12 - 6204x^11 + 7336x^10 + 7843x^9 - 91x^8 - 4359x^7 - 3432x^6 + 52x^5 + 951x^4 + 433x^3 + 29x^2 - 27x - 5	\( 11^{13}\cdot 29^{6}\cdot 43^{7} \)	21T57	Trivial (GRH)
21.9.13025357904654475011765942398926848.1	x^21 - 30x^19 - 34x^18 + 387x^17 + 954x^16 - 2237x^15 - 10944x^14 - 525x^13 + 63996x^12 + 83790x^11 - 181800x^10 - 495124x^9 + 82314x^8 + 1330701x^7 + 810842x^6 - 1778580x^5 - 1822800x^4 + 1114720x^3 + 1473696x^2 - 332928x - 341632	\( 2^{14}\cdot 3^{21}\cdot 17^{2}\cdot 59^{3}\cdot 10859^{3} \)	21T152	Trivial (GRH)
21.9.43077770085674387148520635740838321.1	x^21 - 6x^20 + 12x^19 + 4x^18 - 63x^17 + 108x^16 - 9x^15 - 243x^14 + 360x^13 - 57x^12 - 432x^11 + 513x^10 - 69x^9 - 333x^8 + 297x^7 - 30x^6 - 108x^5 + 72x^4 - 7x^3 - 12x^2 + 6x - 1	\( 3^{44}\cdot 181^{2}\cdot 36541^{2} \)	21T153	Trivial (GRH)
21.9.45589180307529253293163107814735872.1	x^21 - 18x^19 - 24x^18 + 90x^17 + 252x^16 - 256x^15 - 1368x^14 - 102x^13 + 4096x^12 + 2556x^11 - 6780x^10 - 3112x^9 + 12384x^8 + 6666x^7 - 11436x^6 - 8712x^5 + 6192x^4 + 4576x^3 - 2880x^2 - 384x + 256	\( 2^{32}\cdot 3^{21}\cdot 317^{6} \)	21T147	Trivial (GRH)
21.9.135583376967496347676843148218885073.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 7x^14 + 2940x^13 + 98x^12 - 5733x^11 - 539x^10 + 7007x^9 + 1470x^8 - 5131x^7 - 2058x^6 + 1960x^5 + 1372x^4 - 147x^3 - 343x^2 - 98x - 7	\( 7^{35}\cdot 71^{3} \)	21T45	Trivial (GRH)
21.9.285466780749329275197427204099492453.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 8x^14 + 2940x^13 + 112x^12 - 5733x^11 - 616x^10 + 7007x^9 + 1680x^8 - 5126x^7 - 2352x^6 + 1925x^5 + 1568x^4 - 77x^3 - 392x^2 - 133x - 13	\( 7^{38}\cdot 13^{3} \)	21T45	Trivial (GRH)
21.9.797643132581855967205868099633068949.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 6x^14 + 2940x^13 + 84x^12 - 5733x^11 - 462x^10 + 7007x^9 + 1260x^8 - 5137x^7 - 1764x^6 + 2002x^5 + 1176x^4 - 231x^3 - 294x^2 - 56x + 1	\( 7^{17}\cdot 47^{3}\cdot 229^{7} \)	21T87	Trivial (GRH)
21.9.971025506391531716410052192808517632.1	x^21 - 42x^19 - 28x^18 + 756x^17 + 1008x^16 - 7305x^15 - 15282x^14 + 37035x^13 + 123664x^12 - 52677x^11 - 539382x^10 - 405392x^9 + 987120x^8 + 2007441x^7 + 620538x^6 - 2081484x^5 - 3261240x^4 - 2340560x^3 - 949536x^2 - 211008x - 20096	\( 2^{14}\cdot 3^{21}\cdot 157^{2}\cdot 593^{3}\cdot 1033^{3} \)	21T144	Trivial (GRH)
21.9.1694979698129534781799432120291745277.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 6x^14 + 2940x^13 + 84x^12 - 5733x^11 - 462x^10 + 7007x^9 + 1260x^8 - 5136x^7 - 1764x^6 + 1995x^5 + 1176x^4 - 217x^3 - 294x^2 - 63x - 1	\( 3^{31}\cdot 7^{21}\cdot 17^{3} \)	21T70	Trivial (GRH)
21.9.1750980878682272844435550706829410304.1	x^21 - 15x^19 - 22x^18 + 27x^17 + 168x^16 + 105x^15 - 54x^14 - 1014x^13 + 1890x^12 + 13563x^11 - 25146x^10 + 13781x^9 + 77688x^8 - 265965x^7 - 246390x^6 + 126756x^5 - 76728x^4 - 22336x^3 + 60768x^2 - 40512x + 27008	\( 2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 211^{2}\cdot 8623^{3} \)	21T152	Trivial (GRH)
21.9.3467468392769548076725889974344351744.1	x^21 - x^20 - 27x^19 + 39x^18 + 380x^17 - 662x^16 - 3120x^15 + 3546x^14 + 9982x^13 + 3246x^12 - 10664x^11 - 20884x^10 - 15180x^9 - 7396x^8 - 7696x^7 - 3296x^6 + 1440x^5 + 520x^4 + 136x^3 + 656x^2 + 312x + 24	\( 2^{26}\cdot 3^{9}\cdot 47^{7}\cdot 2276293^{2} \)	21T146	Trivial (GRH)
21.9.3467468392769548076725889974344351744.2	x^21 - 6x^20 + 13x^19 - 25x^18 + 29x^17 + 34x^16 + 10x^15 + 77x^14 - 179x^13 - 279x^12 - 692x^11 - 1196x^10 - 1314x^9 - 2334x^8 - 3096x^7 - 3644x^6 - 4884x^5 - 4772x^4 - 3472x^3 - 2304x^2 - 1080x - 216	\( 2^{26}\cdot 3^{9}\cdot 47^{7}\cdot 2276293^{2} \)	21T146	Trivial (GRH)
21.9.5296120176371912060661478404374557149.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5150x^7 - 588x^6 + 2093x^5 + 392x^4 - 413x^3 - 98x^2 + 35x + 9	\( 3^{10}\cdot 7^{21}\cdot 107^{7} \)	21T87	Trivial (GRH)
21.9.7998462377958923195533222171657420800.1	x^21 - 21x^19 - 14x^18 + 171x^17 + 228x^16 - 707x^15 - 1566x^14 + 1629x^13 + 6896x^12 + 81x^11 - 20322x^10 - 19128x^9 + 25776x^8 + 59865x^7 + 17162x^6 - 67500x^5 - 104184x^4 - 74576x^3 - 30240x^2 - 6720x - 640	\( 2^{14}\cdot 3^{21}\cdot 5^{2}\cdot 11^{12}\cdot 29^{6} \)	21T151	Trivial (GRH)
21.9.8192746627386983812513327588008542208.1	x^21 + 15x^19 - 10x^18 + 36x^17 - 48x^16 - 281x^15 + 594x^14 - 1368x^13 + 2680x^12 - 1134x^11 - 3708x^10 + 9933x^9 - 18900x^8 + 23553x^7 - 11586x^6 - 9612x^5 + 19800x^4 - 14800x^3 + 6048x^2 - 1344x + 128	\( 2^{14}\cdot 3^{25}\cdot 8388019^{3} \)	21T149	Trivial (GRH)
21.9.9792192720950242959717104638564712448.1	x^21 + 18x^19 - 12x^18 + 81x^17 - 108x^16 - 99x^15 + 270x^14 - 1557x^13 + 3712x^12 - 4887x^11 + 5682x^10 - 3485x^9 - 5148x^8 + 15567x^7 - 23006x^6 + 26892x^5 - 24408x^4 + 15312x^3 - 6048x^2 + 1344x - 128	\( 2^{14}\cdot 3^{21}\cdot 7\cdot 71^{3}\cdot 283583^{3} \)	21T152	Trivial (GRH)
21.9.17475230337747878140135688009187415737.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 9x^14 + 2940x^13 + 126x^12 - 5733x^11 - 693x^10 + 7007x^9 + 1890x^8 - 5121x^7 - 2646x^6 + 1890x^5 + 1764x^4 - 7x^3 - 441x^2 - 168x - 19	\( 3^{31}\cdot 7^{21}\cdot 37^{3} \)	21T70	Trivial (GRH)
21.9.17715045692982380498771082020003561472.1	x^21 - 45x^19 - 30x^18 + 837x^17 + 1116x^16 - 7971x^15 - 16686x^14 + 37152x^13 + 126264x^12 - 34803x^11 - 487914x^10 - 411853x^9 + 737244x^8 + 1627689x^7 + 635266x^6 - 1401516x^5 - 2321496x^4 - 1681744x^3 - 683424x^2 - 151872x - 14464	\( 2^{14}\cdot 3^{21}\cdot 13^{6}\cdot 109^{6}\cdot 113^{2} \)	21T147	Trivial (GRH)
21.9.23171591614509185999699336548662164736.1	x^21 - 6x^20 + 12x^19 + 4x^18 - 63x^17 + 108x^16 - 10x^15 - 243x^14 + 363x^13 - 59x^12 - 435x^11 + 519x^10 - 66x^9 - 336x^8 + 297x^7 - 29x^6 - 108x^5 + 72x^4 - 7x^3 - 12x^2 + 6x - 1	\( 2^{8}\cdot 3^{18}\cdot 229^{7}\cdot 241^{2}\cdot 349^{2} \)	21T156	Trivial (GRH)
21.9.29357028753446882924668961925905914281.1	x^21 - 63x^19 - 4x^18 + 1683x^17 + 216x^16 - 24877x^15 - 5346x^14 + 221076x^13 + 76086x^12 - 1185372x^11 - 647136x^10 + 3493272x^9 + 3080592x^8 - 3545727x^7 - 6328004x^6 - 4869576x^5 - 126336x^4 + 2790672x^3 + 1272384x^2 - 282752	\( 3^{28}\cdot 47^{4}\cdot 59^{3}\cdot 10859^{3} \)	21T130	Trivial (GRH)
21.9.34851637680834718765274831719128907776.1	x^21 - 18x^19 - 2x^18 + 45x^17 + 174x^16 - 214x^15 - 1116x^14 + 9906x^13 - 15026x^12 - 34911x^11 + 106704x^10 - 73813x^9 - 33354x^8 + 29901x^7 + 53194x^6 - 62604x^5 + 14064x^4 + 5872x^3 - 1440x^2 - 576x + 128	\( 2^{14}\cdot 3^{21}\cdot 17^{6}\cdot 131^{6}\cdot 1667 \)	21T151	Trivial (GRH)
21.9.51760737730687241530618054097890443264.1	x^21 - 3x^20 + 15x^19 - 42x^18 + 18x^17 - 279x^16 - 292x^15 - 894x^14 + 1677x^13 + 5757x^12 + 30555x^11 + 59316x^10 + 103482x^9 + 110757x^8 - 119745x^7 - 505489x^6 - 1236021x^5 - 1853052x^4 - 1402417x^3 - 526482x^2 - 91392x - 5491	\( 2^{18}\cdot 3^{30}\cdot 17^{2}\cdot 57605311^{2} \)	21T143	Trivial (GRH)
21.9.51760737730687241530618054097890443264.2	x^21 - 6x^20 + 6x^19 + 10x^18 + 15x^17 - 36x^16 - 58x^15 + 15x^14 + 27x^13 - 21x^12 - 204x^11 - 144x^10 + 82x^9 - 114x^8 - 588x^7 - 776x^6 + 72x^5 + 576x^4 - 784x^3 - 1800x^2 - 1080x - 216	\( 2^{18}\cdot 3^{30}\cdot 17^{2}\cdot 57605311^{2} \)	21T143	Trivial (GRH)
21.9.67280341499835771733588410840758263041.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 7x^14 + 2940x^13 + 98x^12 - 5733x^11 - 539x^10 + 7007x^9 + 1470x^8 - 5133x^7 - 2058x^6 + 1974x^5 + 1372x^4 - 175x^3 - 343x^2 - 84x - 3	\( 3^{7}\cdot 7^{24}\cdot 107^{7} \)	21T69	Trivial (GRH)
21.9.117718325734535571649220304350791680000.1	x^21 - 6x^20 + 12x^19 + 5x^18 - 66x^17 + 108x^16 + 3x^15 - 261x^14 + 354x^13 - 17x^12 - 462x^11 + 492x^10 - 24x^9 - 345x^8 + 279x^7 - 16x^6 - 108x^5 + 69x^4 - 6x^3 - 12x^2 + 6x - 1	\( 2^{14}\cdot 3^{18}\cdot 5^{4}\cdot 37^{7}\cdot 559081^{2} \)	21T156	Trivial (GRH)
21.9.144085121465410717835837396824595054592.1	x^21 - 21x^19 - 20x^18 + 189x^17 + 360x^16 - 809x^15 - 2700x^14 + 795x^13 + 10496x^12 + 7137x^11 - 20652x^10 - 32065x^9 + 12744x^8 + 56925x^7 + 21196x^6 - 45144x^5 - 42288x^4 + 8320x^3 + 26496x^2 + 11328x + 896	\( 2^{14}\cdot 3^{21}\cdot 71^{3}\cdot 103\cdot 283583^{3} \)	21T152	Trivial (GRH)
21.9.153074684743590248122351624505448626521.1	x^21 - 21x^19 + 189x^17 - 952x^15 - x^14 + 2940x^13 + 14x^12 - 5733x^11 - 77x^10 + 7007x^9 + 210x^8 - 5151x^7 - 294x^6 + 2100x^5 + 196x^4 - 427x^3 - 49x^2 + 42x + 7	\( 7^{24}\cdot 19^{14} \)	21T53	Trivial (GRH)
21.9.733074759778749309047228720717711720448.1	x^21 - 69x^19 - 46x^18 + 2043x^17 + 2724x^16 - 32707x^15 - 67230x^14 + 286632x^13 + 873912x^12 - 1070820x^11 - 6122808x^10 - 2253504x^9 + 19682496x^8 + 31706229x^7 - 3678686x^6 - 63451836x^5 - 86436504x^4 - 60419856x^3 - 24391584x^2 - 5420352x - 516224	\( 2^{14}\cdot 3^{21}\cdot 37^{2}\cdot 59^{3}\cdot 109^{2}\cdot 10859^{3} \)	21T144	Trivial (GRH)
21.9.956231088932859942934630515607791320989.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5151x^7 - 588x^6 + 2100x^5 + 392x^4 - 427x^3 - 98x^2 + 42x + 11	\( 7^{31}\cdot 67^{7} \)	21T69	Trivial (GRH)