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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
15.3.5833807455240507621376.1 x15 - 5x14 + 5x13 + 5x12 + 7x11 - 31x10 - 5x9 + 23x8 + 13x7 - 9x6 + 45x5 - 19x4 - 53x3 + 5x2 - 13x - 1 \( 2^{26}\cdot 31^{2}\cdot 67^{6} \) 15T88 $[3]$
15.3.343441853189647952875776.1 x15 + 9x13 - 15x12 - 12x11 - 90x10 + 104x9 - 213x8 + 159x7 - 165x6 + 918x5 - 1329x4 + 1957x3 - 546x2 + 636x + 178 \( 2^{8}\cdot 3^{24}\cdot 41^{6} \) 15T88 Trivial
15.7.10962798110524462576263969024.1 x15 - 15x13 - 6x12 + 90x11 + 72x10 - 406x9 - 324x8 + 1629x7 + 1016x6 - 3915x5 - 2694x4 + 5992x3 + 3312x2 - 6960x - 864 \( 2^{8}\cdot 3^{14}\cdot 11^{6}\cdot 131^{6} \) 15T88 $[3]$ (GRH)
15.11.16285100300048718327704518656.1 x15 - 23x13 - 2x12 + 179x11 + 80x10 - 673x9 - 594x8 + 1912x7 - 252x6 - 760x5 + 880x4 - 912x3 - 416x2 + 448x + 128 \( 2^{16}\cdot 3^{12}\cdot 881^{6} \) 15T88 Trivial (GRH)
15.7.65140401200194873310818074624.1 x15 - 15x13 - 22x12 + 90x11 + 264x10 - 806x9 - 1188x8 + 5229x7 + 14104x6 - 14715x5 - 72150x4 - 6696x3 + 105552x2 + 63504x - 27616 \( 2^{18}\cdot 3^{12}\cdot 881^{6} \) 15T88 Trivial (GRH)
15.11.82443320268996636534004125696.1 x15 - 17x13 - 20x12 - 225x11 + 128x10 + 2139x9 - 9852x8 - 15448x7 + 52520x6 + 34464x5 - 91328x4 - 20160x3 + 45312x2 + 7168x - 4096 \( 2^{12}\cdot 3^{16}\cdot 881^{6} \) 15T88 Trivial (GRH)
15.15.3292242610475668461259680831744.1 x15 - 78x13 - 137x12 + 1971x11 + 6309x10 - 13289x9 - 70686x8 - 6660x7 + 283696x6 + 281520x5 - 311052x4 - 582802x3 - 201060x2 + 31908x + 11116 \( 2^{8}\cdot 3^{20}\cdot 11^{6}\cdot 113^{6} \) 15T88 Trivial (GRH)
15.15.1286032269717057992679562824900000000.1 x15 - 204x13 - 75x12 + 14715x11 + 7605x10 - 457975x9 - 231300x8 + 6395700x7 + 4605500x6 - 40117500x5 - 45475500x4 + 87752500x3 + 156375000x2 + 48750000x - 12500000 \( 2^{8}\cdot 3^{20}\cdot 5^{8}\cdot 11^{6}\cdot 113^{6} \) 15T88 Trivial (GRH)


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