Number field search results

Results (1-50 of 1132 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
22.0.178...627.1	x^22 + 2x^20 + 5x^18 - x^17 + 6x^16 - 3x^15 + 9x^14 - x^13 + 7x^12 - 3x^11 + 13x^10 + 5x^8 + 3x^7 + 10x^6 + x^4 + 4x^2 + 2x + 1	$22$	[0,11]	$-\,3^{11}\cdot 1003532779^{2}$	$2$	$11.3993917419$			not computed	22T47	trivial	$6$	$10$	$622.138184002$
22.0.116...067.1	x^22 - 2x^21 + 6x^20 - 12x^19 + 22x^18 - 40x^17 + 62x^16 - 97x^15 + 138x^14 - 177x^13 + 216x^12 - 233x^11 + 238x^10 - 226x^9 + 195x^8 - 164x^7 + 124x^6 - 85x^5 + 55x^4 - 29x^3 + 13x^2 - 5x + 1	$22$	[0,11]	$-\,971^{2}\cdot 1867\cdot 25709231^{2}$	$3$	$12.4136136602$			not computed	22T53	trivial	$2$	$10$	$584.201894616$
22.0.281...983.1	x^22 - 4x^21 + 6x^20 - 8x^19 + 15x^18 - 9x^17 - 28x^16 + 46x^15 - 14x^14 + 23x^13 + 13x^12 - 297x^11 + 488x^10 - 240x^9 + 28x^8 - 134x^7 + 194x^6 - 130x^5 + 72x^4 - 28x^3 + 8x^2 - 2x + 1	$22$	[0,11]	$-\,167^{11}$	$1$	$12.9228479833$		✓		$D_{11}$ (as 22T2)	trivial	$2$	$10$	$1029.39037079$
22.0.327...619.1	x^22 - x^21 - 7x^19 + 8x^18 + 7x^17 + 17x^16 - 26x^15 - 35x^14 - 4x^13 + 68x^12 + 92x^11 + 10x^10 - 49x^9 - 27x^8 + 32x^7 + 57x^6 + 24x^5 - 13x^4 - 17x^3 - 3x^2 + 2x + 1	$22$	[0,11]	$-\,61\cdot 1279\cdot 1609^{2}\cdot 4025911^{2}$	$4$	$13.0112804134$			not computed	22T53	trivial	$2$	$10$	$1054.33143917$
22.0.451...371.1	x^22 + 2x^20 - 5x^19 - 4x^18 - 9x^17 + 8x^16 + 16x^15 + 29x^14 - 7x^13 - 29x^12 - 55x^11 + 4x^10 + 37x^9 + 57x^8 - 3x^7 - 30x^6 - 33x^5 + 7x^4 + 12x^3 + 5x^2 - 3x + 1	$22$	[0,11]	$-\,11^{4}\cdot 181^{2}\cdot 101771\cdot 304099^{2}$	$4$	$13.2027018025$			not computed	22T53	trivial	$2$	$10$	$1214.51296657$
22.0.625...347.1	x^22 - x^20 - 4x^19 + 3x^18 + 3x^17 + 6x^16 - 9x^15 + x^14 - 3x^13 + 9x^12 - 10x^11 + x^10 - 2x^9 + 8x^8 - 5x^7 - x^5 + 4x^4 - 2x^3 + x^2 + 1	$22$	[0,11]	$-\,3^{11}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$13.3994085466$			not computed	22T47	trivial	$6$	$10$	$4357.91042138$
22.0.629...867.1	x^22 - x^21 - x^19 + 3x^18 - 3x^17 - x^16 + 5x^14 - 3x^13 - 2x^12 + x^11 + 6x^10 - 4x^9 - 2x^8 - x^7 + 5x^6 - 2x^5 - x^4 - 2x^3 + x^2 + x + 1	$22$	[0,11]	$-\,3^{11}\cdot 64661^{2}\cdot 92179^{2}$	$3$	$13.4036147668$			not computed	22T47	trivial	$6$	$10$	$4402.38521796$
22.2.412...237.1	x^22 - 7x^20 - 3x^19 + 17x^18 + 12x^17 - 15x^16 - 16x^15 - x^14 - x^13 - 28x^12 - 42x^11 + 3x^10 + 25x^9 - 16x^8 - 47x^7 - 35x^6 + 7x^5 + 16x^4 - 7x^3 - 5x^2 + 2x + 1	$22$	[2,10]	$1070197\cdot 6205948139^{2}$	$2$	$14.5989566434$			not computed	22T53	trivial	$2$	$11$	$5727.32762159$
22.0.641...828.1	x^22 - x^21 + 3x^20 - 7x^19 + 11x^18 - 18x^17 + 29x^16 - 40x^15 + 53x^14 - 67x^13 + 79x^12 - 87x^11 + 92x^10 - 90x^9 + 83x^8 - 73x^7 + 59x^6 - 43x^5 + 30x^4 - 18x^3 + 9x^2 - 4x + 1	$22$	[0,11]	$-\,2^{2}\cdot 2029\cdot 7909899338257898069783$	$3$	$14.8959694347$			✓	22T59	trivial	$2$	$10$	$9202.86473748$
22.0.753...875.1	x^22 - 4x^21 + 10x^20 - 22x^19 + 47x^18 - 79x^17 + 124x^16 - 169x^15 + 213x^14 - 229x^13 + 259x^12 - 192x^11 + 188x^10 - 90x^9 + 134x^8 - 14x^7 + 62x^6 - 19x^5 + 22x^4 - 12x^3 + 3x^2 - x + 1	$22$	[0,11]	$-\,5^{4}\cdot 7^{6}\cdot 83^{5}\cdot 127^{4}$	$4$	$15.004814071$			not computed	22T52	trivial	$2$	$10$	$7059.77912901$
22.0.103...363.1	x^22 - 5x^21 + 15x^20 - 35x^19 + 68x^18 - 114x^17 + 170x^16 - 230x^15 + 285x^14 - 325x^13 + 343x^12 - 335x^11 + 306x^10 - 258x^9 + 202x^8 - 146x^7 + 97x^6 - 59x^5 + 32x^4 - 16x^3 + 7x^2 - 2x + 1	$22$	[0,11]	$-\,79\cdot 22109\cdot 59513372976908430233$	$3$	$15.2258766495$			not computed	22T59	trivial	$2$	$10$	$14889.9809115$
22.0.110...347.1	x^22 - 4x^19 + 4x^16 - 4x^15 + x^14 - 6x^13 + 7x^12 - 3x^11 + 12x^10 + 2x^9 + 18x^8 + 4x^7 + 13x^6 + 5x^5 + 6x^4 + x^3 + 4x^2 - x + 1	$22$	[0,11]	$-\,3^{11}\cdot 971^{2}\cdot 25709231^{2}$	$3$	$15.2675894913$			not computed	22T47	trivial	$6$	$10$	$18267.9467933$
22.2.147...704.1	x^22 - 2x^20 + 6x^18 - 14x^16 + 22x^14 - 31x^12 + 38x^10 - 34x^8 + 27x^6 - 17x^4 + 6x^2 - 1	$22$	[2,10]	$2^{22}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$15.4723042627$			not computed	22T51	trivial	$2$	$11$	$11319.5749854$
22.2.147...704.2	x^22 + x^18 - 2x^16 - 2x^14 - x^12 + 3x^8 + x^6 + x^4 - 1	$22$	[2,10]	$2^{22}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$15.4723042627$			✓	22T51	trivial	$2$	$11$	$10254.8559154$
22.2.178...033.1	x^22 - 11x^21 + 65x^20 - 265x^19 + 825x^18 - 2067x^17 + 4301x^16 - 7582x^15 + 11469x^14 - 15003x^13 + 17039x^12 - 16811x^11 + 14374x^10 - 10594x^9 + 6680x^8 - 3576x^7 + 1630x^6 - 656x^5 + 261x^4 - 113x^3 + 48x^2 - 15x + 1	$22$	[2,10]	$149\cdot 33797\cdot 64661^{2}\cdot 92179^{2}$	$4$	$15.6063233809$			✓	22T53	trivial	$2$	$11$	$11377.8928745$
22.2.289...513.1	x^22 - x^21 + x^20 - 3x^19 + 3x^18 + x^17 + 5x^16 - 4x^15 - 18x^14 + 11x^13 + 16x^12 + 32x^11 - 45x^10 - 81x^9 + 100x^8 + 75x^7 - 101x^6 - 41x^5 + 53x^4 + 15x^3 - 15x^2 - 4x + 1	$22$	[2,10]	$359753\cdot 28385393161^{2}$	$2$	$15.9524360191$			not computed	22T53	trivial	$2$	$11$	$15832.2441917$
22.6.440...573.1	x^22 - 11x^21 + 64x^20 - 255x^19 + 770x^18 - 1857x^17 + 3688x^16 - 6146x^15 + 8690x^14 - 10480x^13 + 10777x^12 - 9386x^11 + 6807x^10 - 3960x^9 + 1680x^8 - 341x^7 - 170x^6 + 212x^5 - 109x^4 + 28x^3 + 3x^2 - 5x + 1	$22$	[6,8]	$37\cdot 163^{2}\cdot 14281\cdot 177106931^{2}$	$4$	$16.2585616162$			✓	22T53	trivial	$2$	$13$	$42752.2517797$
22.0.492...744.1	x^22 + 2x^20 - 5x^18 - 22x^16 + 29x^14 + 153x^12 + 72x^10 - 195x^8 - 158x^6 + 66x^4 + 77x^2 + 11	$22$	[0,11]	$-\,2^{18}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4}$	$4$	$16.3415767174$			not computed	22T52	trivial	$2$	$10$	$19198.3237336$
22.0.577...104.1	x^22 - 2x^20 - 2x^19 + 5x^18 + 6x^17 - 5x^16 - 12x^15 + 2x^14 + 18x^13 + 4x^12 - 18x^11 - 11x^10 + 14x^9 + 14x^8 - 8x^7 - 11x^6 + 2x^5 + 8x^4 - 4x^2 + 1	$22$	[0,11]	$-\,2^{30}\cdot 73^{2}\cdot 577\cdot 53149\cdot 3293113$	$5$	$16.4606320126$			✓	22T57	trivial	$4$	$10$	$65028.759848$
22.0.578...471.1	x^22 - 11x^21 + 67x^20 - 285x^19 + 929x^18 - 2433x^17 + 5271x^16 - 9630x^15 + 15091x^14 - 20633x^13 + 25057x^12 - 27453x^11 + 27302x^10 - 24426x^9 + 19254x^8 - 13050x^7 + 7570x^6 - 3890x^5 + 1921x^4 - 927x^3 + 362x^2 - 87x + 9	$22$	[0,11]	$-\,271^{11}$	$1$	$16.4620776332$		✓		$D_{11}$ (as 22T2)	trivial	$2$	$10$	$33482.7947011$
22.2.635...313.1	x^22 - x^21 + 5x^20 - 8x^19 + 16x^18 - 27x^17 + 41x^16 - 61x^15 + 80x^14 - 104x^13 + 121x^12 - 138x^11 + 143x^10 - 142x^9 + 131x^8 - 112x^7 + 89x^6 - 64x^5 + 43x^4 - 24x^3 + 12x^2 - 4x + 1	$22$	[2,10]	$60821\cdot 1487459\cdot 7024799976319967$	$3$	$16.5319546621$			✓	22T59	trivial	$2$	$11$	$66805.8364906$
22.2.716...264.1	x^22 + 4x^20 + x^18 - 20x^16 - 7x^14 + 93x^12 + 46x^10 - 121x^8 - 80x^6 - 34x^4 - 9x^2 - 1	$22$	[2,10]	$2^{22}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$	$4$	$16.6222822507$			not computed	22T49	trivial	$2$	$11$	$38833.928533$
22.2.890...989.1	x^22 - 2x^21 + 6x^20 - 10x^19 + 17x^18 - 21x^17 + 22x^16 - 15x^15 - 5x^14 + 38x^13 - 83x^12 + 135x^11 - 185x^10 + 221x^9 - 234x^8 + 222x^7 - 187x^6 + 138x^5 - 88x^4 + 47x^3 - 20x^2 + 6x - 1	$22$	[2,10]	$34092855421\cdot 26129523845912209$	$2$	$16.7876797584$			not computed	22T59	trivial	$2$	$11$	$58031.388562$
22.4.931...016.1	x^22 - 4x^21 + 5x^20 + 4x^19 - 26x^18 + 31x^17 + 15x^16 - 79x^15 + 76x^14 + 60x^13 - 153x^12 + 84x^11 + 83x^10 - 192x^9 + 24x^8 + 58x^7 - 150x^6 + 30x^5 + 19x^4 - 23x^3 + 6x^2 + 29x + 1	$22$	[4,9]	$-\,2^{12}\cdot 11^{7}\cdot 19^{4}\cdot 547^{4}$	$4$	$16.8215855911$			not computed	22T52	trivial	$2$	$12$	$56735.8548792$
22.4.951...707.1	x^22 - 11x^21 + 66x^20 - 275x^19 + 879x^18 - 2268x^17 + 4871x^16 - 8878x^15 + 13903x^14 - 18847x^13 + 22192x^12 - 22691x^11 + 20056x^10 - 15173x^9 + 9644x^8 - 4974x^7 + 1932x^6 - 448x^5 - 27x^4 + 71x^3 - 24x^2 + x + 1	$22$	[4,9]	$-\,139\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}\cdot 9473$	$5$	$16.8377853307$			✓	22T53	trivial	$2$	$12$	$43108.9874663$
22.4.969...159.1	x^22 - x^21 + 3x^20 + 3x^18 + 5x^17 + 7x^16 + 4x^15 + 12x^14 - 17x^13 - 35x^11 - 28x^10 - 29x^9 - 20x^8 - 6x^7 - 11x^6 - 26x^5 - 22x^4 - 11x^3 - 4x^2 + 9x - 1	$22$	[4,9]	$-\,173\cdot 7043\cdot 28208540809^{2}$	$3$	$16.8524111845$			not computed	22T53	trivial	$2$	$12$	$42357.726741$
22.0.144...128.1	x^22 - 2x^20 - 2x^19 + 5x^18 + 6x^17 - 5x^16 - 12x^15 + 2x^14 + 18x^13 + 4x^12 - 18x^11 - 11x^10 + 14x^9 + 15x^8 - 8x^7 - 12x^6 + 2x^5 + 8x^4 - 4x^2 + 1	$22$	[0,11]	$-\,2^{22}\cdot 10177\cdot 33765428299628041$	$3$	$17.1588716086$			✓	22T57	trivial	$4$	$10$	$148004.116661$
22.6.144...125.1	x^22 - 2x^21 - x^20 + 18x^19 - 17x^18 - 44x^17 + 110x^16 - 3x^15 - 254x^14 + 59x^13 + 240x^12 - 102x^11 - 552x^10 - 230x^9 + 307x^8 + 320x^7 - 3x^6 - 154x^5 - 62x^4 + 18x^3 + 19x^2 + 2x - 1	$22$	[6,8]	$5^{11}\cdot 7^{4}\cdot 83^{4}\cdot 127^{4}$	$4$	$17.1621719232$			not computed	22T46	trivial	$2$	$13$	$95631.3345105$
22.4.153...375.1	x^22 - 2x^21 + 7x^20 - 20x^19 + 38x^18 - 74x^17 + 107x^16 - 167x^15 + 185x^14 - 284x^13 + 308x^12 - 417x^11 + 466x^10 - 462x^9 + 446x^8 - 292x^7 + 170x^6 - 55x^5 - 7x^4 + 11x^3 - 8x^2 + x + 1	$22$	[4,9]	$-\,5^{4}\cdot 7^{4}\cdot 83^{5}\cdot 127^{4}\cdot 997$	$5$	$17.2071065975$			not computed	22T52	trivial	$2$	$12$	$56909.7191275$
22.10.162...109.1	x^22 - 5x^21 + 4x^20 + 19x^19 - 39x^18 + 11x^17 - 8x^16 + 47x^15 + 183x^14 - 603x^13 + 274x^12 + 853x^11 - 1093x^10 - 146x^9 + 897x^8 - 256x^7 - 277x^6 + 109x^5 + 47x^4 - 10x^3 - 11x^2 + x + 1	$22$	[10,6]	$29101\cdot 372881^{2}\cdot 633263^{2}$	$3$	$17.2515463588$			not computed	22T53	trivial	$2$	$15$	$172549.025737$
22.2.172...125.1	x^22 + 3x^20 - 8x^19 - 13x^18 - 13x^17 - 10x^16 + 79x^15 + 45x^14 + 111x^13 + 59x^12 - 172x^11 + 31x^10 - 94x^9 - 96x^8 + 55x^7 - 26x^6 + x^5 + 20x^4 - 4x^3 + 3x^2 - 1	$22$	[2,10]	$5^{11}\cdot 12917^{2}\cdot 459847^{2}$	$3$	$17.29856205$			not computed	22T47	trivial	$2$	$11$	$42078.318318$
22.2.173...125.1	x^22 - x^21 + 2x^20 + x^19 - 13x^18 + 3x^17 - 35x^16 - 18x^15 + 37x^14 + 27x^13 + 152x^12 + 277x^11 + 160x^10 + 72x^9 - 42x^8 - 69x^7 - 31x^6 - 22x^5 + 3x^4 + 4x^3 + x^2 + x - 1	$22$	[2,10]	$5^{11}\cdot 64661^{2}\cdot 92179^{2}$	$3$	$17.3039922569$			not computed	22T47	trivial	$2$	$11$	$38336.3977164$
22.2.176...672.1	x^22 - 5x^21 + 17x^20 - 40x^19 + 70x^18 - 93x^17 + 99x^16 - 86x^15 + 53x^14 + 37x^13 - 283x^12 + 778x^11 - 1493x^10 + 2198x^9 - 2575x^8 + 2425x^7 - 1840x^6 + 1108x^5 - 512x^4 + 173x^3 - 33x^2 + x + 1	$22$	[2,10]	$2^{16}\cdot 37^{5}\cdot 4441^{4}$	$3$	$17.3188364535$			not computed	22T52	trivial	$2$	$11$	$51691.3054088$
22.4.189...683.1	x^22 - x^21 + x^20 + x^19 + x^18 + 5x^17 - 11x^16 + 6x^15 + 19x^14 - 22x^13 - 4x^12 + 6x^11 + 13x^10 + 26x^9 - 75x^8 - 11x^7 + 101x^6 - 32x^5 - 59x^4 + 28x^3 + 15x^2 - 6x - 1	$22$	[4,9]	$-\,47147\cdot 200601609583^{2}$	$2$	$17.3745944722$			not computed	22T53	trivial	$2$	$12$	$64048.1745685$
22.0.261...704.1	x^22 + 6x^20 + 16x^18 + 18x^16 + 4x^14 + 6x^12 + 25x^10 + 3x^8 - 19x^6 - 4x^4 + 4x^2 + 1	$22$	[0,11]	$-\,2^{22}\cdot 971^{2}\cdot 25709231^{2}$	$3$	$17.6294938054$			not computed	22T53	trivial	$2$	$10$	$24986.318925$
22.6.261...704.1	x^22 - 6x^20 + 16x^18 - 18x^16 + 4x^14 - 6x^12 + 25x^10 - 3x^8 - 19x^6 + 4x^4 + 4x^2 - 1	$22$	[6,8]	$2^{22}\cdot 971^{2}\cdot 25709231^{2}$	$3$	$17.6294938054$			not computed	22T51	trivial	$2$	$13$	$107375.053215$
22.2.286...056.1	x^22 - 5x^20 + 9x^18 - 6x^16 - 12x^14 + 37x^12 - 45x^10 + 75x^8 - 54x^6 - 17x^4 + 44x^2 - 16	$22$	[2,10]	$2^{24}\cdot 11^{4}\cdot 19^{4}\cdot 547^{4}$	$4$	$17.7034135973$				22T49	trivial	$2$	$11$	$97800.0774856$
22.0.298...003.1	x^22 - x^21 - 4x^20 + 3x^19 + 11x^18 - 6x^17 - 18x^16 + 2x^15 + 26x^14 - 8x^13 - 18x^12 + 23x^11 + 12x^10 - 27x^9 - 30x^8 + 23x^7 + 19x^6 + 3x^5 + 5x^4 - 26x^3 + 8x^2 + 2x + 1	$22$	[0,11]	$-\,3^{11}\cdot 167^{10}$	$2$	$17.7372503584$				$D_{22}$ (as 22T3)	trivial	$6$	$10$	$138999.076948$
22.6.302...024.1	x^22 - x^18 - x^16 - 2x^14 + x^10 + 2x^8 + 2x^6 - 1	$22$	[6,8]	$2^{22}\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$	$4$	$17.7482593697$			✓	22T51	trivial	$2$	$13$	$118028.692249$
22.2.302...024.1	x^22 + 3x^20 - 11x^16 - 24x^14 - 24x^12 + x^10 + 11x^8 - 9x^6 - 5x^4 + 5x^2 - 1	$22$	[2,10]	$2^{22}\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$	$4$	$17.7482593697$			✓	22T51	trivial	$2$	$11$	$45090.7591736$
22.0.310...627.1	x^22 - 2x^21 + 4x^20 - 2x^18 + 9x^17 - 4x^16 + 6x^15 + 4x^14 - 2x^13 + 10x^12 + 7x^10 + 4x^9 + 2x^8 + 11x^7 + x^6 + 3x^5 + 4x^4 + 2x^3 + 3x^2 - x + 1	$22$	[0,11]	$-\,3^{11}\cdot 211441^{2}\cdot 625831^{2}$	$3$	$17.7672158985$			not computed	22T47	trivial	$6$	$10$	$73023.7380593$
22.2.311...696.1	x^22 + 2x^16 - x^14 - x^12 + x^10 + x^8 - 2x^6 - x^4 + 2x^2 - 1	$22$	[2,10]	$2^{22}\cdot 1559^{2}\cdot 17480927^{2}$	$3$	$17.7706651762$			✓	22T51	trivial	$2$	$11$	$52464.2585693$
22.0.439...467.1	x^22 - x^21 + 2x^20 + x^19 + 2x^18 - x^17 + 4x^15 - 6x^14 - 6x^13 - 3x^12 - x^11 - 2x^10 - 8x^9 + 8x^8 + 5x^7 + 7x^6 + 8x^5 + 8x^4 + 6x^3 + 4x^2 + 2x + 1	$22$	[0,11]	$-\,3^{11}\cdot 19457^{2}\cdot 8095783^{2}$	$3$	$18.050953563$			not computed	22T47	trivial	$6$	$10$	$136255.877931$
22.6.452...625.1	x^22 - 3x^21 - 5x^20 + 20x^19 + 6x^18 - 46x^17 - 22x^16 + 88x^15 + 102x^14 - 250x^13 - 116x^12 + 460x^11 - 50x^10 - 559x^9 + 321x^8 + 395x^7 - 287x^6 - 315x^5 + 200x^4 + 136x^3 + 14x^2 - 70x + 5	$22$	[6,8]	$5^{5}\cdot 7^{6}\cdot 83^{4}\cdot 127^{4}\cdot 997$	$5$	$18.0748826004$			not computed	22T52	trivial	$2$	$13$	$180581.627765$
22.2.107...089.1	x^22 - x^21 + x^20 - 11x^19 - 5x^18 + 22x^17 + 22x^16 + 62x^15 - 83x^14 - 148x^13 + 44x^12 + 72x^11 + 52x^10 + 25x^9 + 50x^8 - 75x^7 - 65x^6 + 60x^5 - 17x^3 + 17x^2 - 7x + 1	$22$	[2,10]	$167^{10}\cdot 639361$	$2$	$18.8028300461$			not computed	22T32	trivial	$2$	$11$	$116549.459796$
22.6.111...149.1	x^22 - 11x^21 + 44x^20 - 55x^19 - 111x^18 + 372x^17 - 61x^16 - 838x^15 + 563x^14 + 1153x^13 - 1030x^12 - 1191x^11 + 1050x^10 + 987x^9 - 634x^8 - 630x^7 + 192x^6 + 264x^5 - 3x^4 - 53x^3 - 10x^2 + x - 1	$22$	[6,8]	$83\cdot 199\cdot 937\cdot 1583^{2}\cdot 2731^{2}\cdot 6217^{2}$	$6$	$18.8334111471$			✓	22T53	trivial	$2$	$13$	$231636.713172$
22.0.131...371.1	x^22 + 44x^18 - 22x^17 + 55x^16 + 121x^15 + 187x^14 + 11x^13 + 594x^12 + 328x^11 + 836x^10 + 770x^9 + 814x^8 + 528x^7 + 374x^6 + 143x^5 + 11x^4 - 33x^3 - 11x^2 + 1	$22$	[0,11]	$-\,11^{27}$	$1$	$18.970240678$			not computed	$F_{11}$ (as 22T4)	trivial	$2$	$10$	$302171.954912$
22.8.147...499.1	x^22 - 11x^21 + 44x^20 - 55x^19 - 112x^18 + 381x^17 - 87x^16 - 834x^15 + 674x^14 + 1020x^13 - 1213x^12 - 834x^11 + 1220x^10 + 511x^9 - 776x^8 - 247x^7 + 323x^6 + 85x^5 - 89x^4 - 18x^3 + 16x^2 + x - 1	$22$	[8,7]	$-\,97\cdot 2381^{2}\cdot 2467\cdot 104446171^{2}$	$4$	$19.0750493033$			✓	22T53	trivial	$2$	$14$	$439864.358869$
22.0.152...375.1	x^22 - 4x^21 + 18x^20 - 48x^19 + 125x^18 - 249x^17 + 478x^16 - 766x^15 + 1216x^14 - 1618x^13 + 2242x^12 - 2454x^11 + 2995x^10 - 2616x^9 + 2692x^8 - 1937x^7 + 1684x^6 - 1102x^5 + 757x^4 - 253x^3 + 163x^2 + 2x + 1	$22$	[0,11]	$-\,5^{4}\cdot 7^{11}\cdot 83^{4}\cdot 127^{4}$	$4$	$19.1015026172$			not computed	22T46	trivial	$2$	$10$	$69206.6233764$
22.6.184...625.1	x^22 - 7x^21 + 16x^20 - 3x^19 - 51x^18 + 101x^17 - 62x^16 - 50x^15 + 49x^14 + 124x^13 - 271x^12 + 166x^11 + 113x^10 - 102x^9 - 51x^8 - 34x^7 + 128x^6 - 78x^5 - 37x^4 + 36x^3 + 14x^2 - 8x + 1	$22$	[6,8]	$5^{4}\cdot 7^{4}\cdot 83^{4}\cdot 127^{4}\cdot 997^{2}$	$5$	$19.2655473485$			not computed	22T49	trivial	$2$	$13$	$416442.121837$