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Label Polynomial Discriminant Galois group Class group
15.5.450...947.1 x15 - 2x12 - 5x9 + 13x6 - 7x3 + 1 \( -\,3^{15}\cdot 11^{12} \) 15T33 trivial
15.5.450...947.2 x15 - 10x12 + 29x9 - 25x6 + 3x3 + 1 \( -\,3^{15}\cdot 11^{12} \) 15T33 trivial
15.15.138...697.1 x15 - 75x13 - 123x12 + 1854x11 + 5532x10 - 15374x9 - 79524x8 - 19527x7 + 386911x6 + 652257x5 - 170775x4 - 1591761x3 - 1909161x2 - 991875x - 197317 \( 3^{15}\cdot 11^{13}\cdot 23^{4} \) 15T33 trivial (GRH)
15.15.138...697.2 x15 - 60x13 - 63x12 + 1341x11 + 2727x10 - 12674x9 - 40869x8 + 31254x7 + 243271x6 + 196857x5 - 393162x4 - 847458x3 - 566559x2 - 111090x + 12167 \( 3^{15}\cdot 11^{13}\cdot 23^{4} \) 15T33 trivial (GRH)
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