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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
15.1.957206371560558183.1 x15 - x14 + x13 - 6x12 - 4x11 + 5x10 + 18x9 + 23x8 - 4x5 + 4x4 + 10x3 - 5x2 + 1 \( -\,3^{12}\cdot 23^{9} \) $A_5 \times S_3$ (as 15T23) Trivial
15.1.1277111238656000000.1 x15 - x14 + 3x13 - x12 + 3x11 + 5x10 + 11x9 + 11x8 + 17x7 + 19x6 + 11x5 + 11x4 + 9x3 + 3x2 + x + 1 \( -\,2^{22}\cdot 5^{6}\cdot 11^{7} \) $A_5 \times S_3$ (as 15T23) Trivial
15.3.640934066430577603937.1 x15 - 5x14 + 12x13 - 15x12 - 27x11 + 196x10 - 358x9 + 22x8 + 849x7 - 1299x6 + 771x5 - 52x4 - 144x3 + 59x2 - 10x + 1 \( 11^{9}\cdot 43^{7} \) $A_5 \times S_3$ (as 15T23) Trivial
15.3.1715416563371216000000.1 x15 - x14 + 2x13 - 4x12 + 17x11 - 67x10 + 161x9 - 245x8 + 177x7 + 39x6 - 193x5 + 95x4 + 30x3 - 14x2 - 3x + 1 \( 2^{10}\cdot 5^{6}\cdot 101^{7} \) $A_5 \times S_3$ (as 15T23) Trivial
15.5.3205575570525886607247.1 x15 - 4x14 + 13x12 + 10x11 - 70x10 - 29x9 + 226x8 + 13x7 - 454x6 + 76x5 + 499x4 - 78x3 - 183x2 + 46x + 23 \( -\,3^{12}\cdot 11^{6}\cdot 23^{7} \) $A_5 \times S_3$ (as 15T23) Trivial (GRH)
15.15.63095343954661026090442701.1 x15 - 3x14 - 33x13 + 80x12 + 411x11 - 813x10 - 2371x9 + 4050x8 + 6279x7 - 10380x6 - 6255x5 + 12105x4 - 144x3 - 4041x2 + 1350x - 123 \( 3^{21}\cdot 11^{6}\cdot 23^{7} \) $A_5 \times S_3$ (as 15T23) Trivial (GRH)
15.5.192608125464899891336664512.1 x15 - 11x13 - 10x12 + 188x11 - 74x10 - 1058x9 + 560x8 + 2691x7 - 1727x6 - 6678x5 + 3789x4 + 5589x3 - 3726x2 + 729 \( -\,2^{6}\cdot 23^{5}\cdot 881^{6} \) $A_5 \times S_3$ (as 15T23) Trivial (GRH)
15.15.23169043645868181334645896192.1 x15 - 7x14 - 35x13 + 322x12 + 253x11 - 5320x10 + 2750x9 + 38628x8 - 39237x7 - 125976x6 + 130210x5 + 204325x4 - 135505x3 - 150660x2 + 9583x + 9631 \( 2^{10}\cdot 3^{6}\cdot 37^{7}\cdot 83^{6} \) $A_5 \times S_3$ (as 15T23) Trivial (GRH)


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