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Results (26 matches)

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Label Polynomial Discriminant Galois group Class group
22.2.529...664.1 x22 + 5x20 - 11x18 - 34x16 + 29x14 + 127x12 - 268x10 + 239x8 - 119x6 + 29x4 - 1 \( 2^{22}\cdot 1831^{8} \) 22T39 trivial (GRH)
22.6.529...664.1 x22 - 13x20 + 76x18 - 269x16 + 659x14 - 1206x12 + 1700x10 - 1829x8 + 1455x6 - 817x4 + 293x2 - 49 \( 2^{22}\cdot 1831^{8} \) 22T39 trivial (GRH)
22.2.529...664.2 x22 - 3x20 - 5x18 + 58x16 - 141x14 + 140x12 - 16x10 - 89x8 + 13x6 + 49x4 + 21x2 - 1 \( 2^{22}\cdot 1831^{8} \) 22T39 trivial (GRH)
22.6.529...664.2 x22 - 5x20 - 3x18 + 2x16 + 35x14 + 32x12 + 18x10 - 19x8 - 11x6 - 5x4 + 7x2 - 1 \( 2^{22}\cdot 1831^{8} \) 22T39 trivial (GRH)
22.10.412...904.1 x22 - x20 - 251x18 - 474x16 + 16151x14 + 58074x12 - 84453x10 - 36512x8 + 41198x6 + 7092x4 - 4293x2 - 729 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.14.412...904.1 x22 - 4x20 - 185x18 + 1908x16 - 5778x14 + 273x12 + 25663x10 - 37456x8 + 9890x6 + 8866x4 - 2350x2 - 625 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.18.412...904.1 x22 - 62x20 + 1332x18 - 12445x16 + 46846x14 - 17000x12 - 234649x10 + 219644x8 + 210856x6 - 218489x4 + 42680x2 - 81 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.2.412...904.1 x22 + 22x20 + 200x18 + 960x16 + 2543x14 + 3350x12 + 845x10 - 2804x8 - 2821x6 - 948x4 - 108x2 - 1 \( 2^{22}\cdot 74843^{8} \) 22T39 $[2]$ (GRH)
22.22.412...904.1 x22 - 53x20 + 963x18 - 8057x16 + 34825x14 - 83894x12 + 119260x10 - 102849x8 + 53662x6 - 16302x4 + 2614x2 - 169 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.6.412...904.1 x22 + 22x20 + 130x18 - 380x16 - 7403x14 - 30874x12 - 41065x10 + 53058x8 + 199575x6 + 151126x4 + 156x2 - 49 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.10.412...904.2 x22 - 19x20 - 98x18 + 2442x16 + 2012x14 - 52528x12 - 9104x10 + 29829x8 + 10141x6 + 84x4 - 96x2 - 1 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.14.412...904.2 x22 - 36x20 + 91x18 + 5496x16 - 15645x14 - 100112x12 + 193171x10 + 462289x8 - 300154x6 - 427250x4 + 146699x2 - 11449 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.18.412...904.2 x22 - 50x20 + 967x18 - 9172x16 + 44799x14 - 106893x12 + 101941x10 - 12539x8 - 4786x6 + 708x4 + 4x2 - 1 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.2.412...904.2 x22 + 48x20 + 773x18 + 5165x16 + 14676x14 + 11976x12 - 15879x10 - 31691x8 - 16674x6 - 3536x4 - 313x2 - 9 \( 2^{22}\cdot 74843^{8} \) 22T39 $[2]$ (GRH)
22.22.412...904.2 x22 - 53x20 + 1109x18 - 11954x16 + 72629x14 - 254808x12 + 505403x10 - 527803x8 + 253819x6 - 49582x4 + 3337x2 - 9 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.6.412...904.2 x22 + 20x20 + 23x18 - 1803x16 - 11277x14 + 9556x12 + 233427x10 + 487030x8 + 5525x6 - 102953x4 - 17397x2 - 729 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.10.412...904.3 x22 + 12x20 - 361x18 - 3364x16 + 27305x14 + 69776x12 - 559114x10 + 358013x8 + 751769x6 + 204573x4 - 6542x2 - 1369 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.14.412...904.3 x22 - 44x20 + 697x18 - 4301x16 + 1147x14 + 81848x12 - 207845x10 + 23518x8 + 69615x6 + 2579x4 - 515x2 - 9 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.6.412...904.3 x22 + 12x20 - 192x18 - 3910x16 - 18357x14 + 37519x12 + 608582x10 + 2113799x8 + 3221580x6 + 1933376x4 - 120888x2 - 388129 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.10.412...904.4 x22 - 38x20 + 282x18 + 2354x16 - 17471x14 - 65238x12 + 151346x10 + 589814x8 + 397693x6 + 55679x4 + 266x2 - 81 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.14.412...904.4 x22 - 18x20 - 65x18 + 2294x16 - 4722x14 - 42898x12 + 51750x10 + 137850x8 - 121298x6 + 17697x4 + 1821x2 - 49 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.6.412...904.4 x22 + 33x20 + 327x18 + 737x16 - 4233x14 - 17374x12 - 5210x10 + 38554x8 + 27024x6 - 20338x4 - 17429x2 - 1849 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.10.412...904.5 x22 - 35x20 + 229x18 + 2861x16 - 23277x14 - 84181x12 + 401650x10 + 507372x8 + 187255x6 + 23093x4 + 422x2 - 1 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.14.412...904.5 x22 - 18x20 - 436x18 + 9820x16 - 30633x14 - 197719x12 + 300853x10 + 617000x8 - 235225x6 - 135190x4 + 36755x2 - 1521 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.10.412...904.6 x22 - 4x20 - 439x18 - 1549x16 + 5292x14 + 11519x12 - 25067x10 - 2315x8 + 10967x6 + 2679x4 - 156x2 - 49 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
22.14.412...904.6 x22 - 7x20 - 279x18 + 335x16 + 18303x14 + 14407x12 - 278444x10 + 25585x8 + 1263104x6 - 1592684x4 + 599227x2 - 62001 \( 2^{22}\cdot 74843^{8} \) 22T39 trivial (GRH)
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