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Label Polynomial Discriminant Galois group Class group
15.1.723352547563839.1 x15 - x14 - 2x13 + 2x12 - 2x11 + 2x10 + 5x9 - 5x8 + 4x7 - 5x6 - 4x5 + 5x4 - 2x3 + x2 + x + 1 \( -\,3^{3}\cdot 6653\cdot 4026880369 \) 15T104 Trivial
15.3.1788527348449625.1 x15 - 2x14 + 4x13 - 9x12 + 13x11 - 15x10 + 18x9 - 23x8 + 33x7 - 44x6 + 48x5 - 44x4 + 30x3 - 16x2 + 6x - 1 \( 5^{3}\cdot 7^{10}\cdot 37^{3} \) 15T24 Trivial
15.3.2164169497031757.1 x15 - 7x14 + 23x13 - 45x12 + 54x11 - 32x10 - 14x9 + 55x8 - 72x7 + 69x6 - 57x5 + 39x4 - 21x3 + 9x2 - 4x + 1 \( 3^{3}\cdot 69593\cdot 1151759887 \) 15T104 Trivial
15.3.2354315214908549.1 x15 - x14 + x13 - x12 - x11 + 3x10 - 2x9 + 2x8 - 2x7 - x6 + 2x3 - x2 + 2x - 1 \( 27765763\cdot 84792023 \) 15T104 Trivial
15.3.2432060458605625.1 x15 - x14 - 2x13 + x12 + 2x11 - 4x10 - 4x9 + 3x8 + 4x7 - 2x6 - 3x5 + 5x4 + 5x3 - x2 - 4x - 1 \( 5^{4}\cdot 19^{2}\cdot 47^{6} \) 15T46 Trivial
15.3.3276367268581097.1 x15 - 6x13 - x12 + 16x11 + 8x10 - 20x9 - 24x8 + 4x7 + 31x6 + 15x5 - 15x4 - 14x3 + x2 + 4x + 1 \( 3276367268581097 \) 15T104 Trivial
15.1.3703260525677583.1 x15 - 2x14 + x13 - x12 - 5x11 + 4x10 - 3x9 + 2x8 + 6x7 - 3x6 + 3x5 - 4x4 - 5x3 - 3x2 - 3x - 1 \( -\,3\cdot 13^{3}\cdot 561866260913 \) 15T104 Trivial
15.3.4864965285308625.1 x15 - 3x14 + 6x13 - 12x12 + 14x11 - 17x10 + 24x9 - 28x8 + 31x7 - 21x6 + 18x5 - 15x4 + 16x3 - 11x2 + 5x - 1 \( 3^{9}\cdot 5^{3}\cdot 7^{11} \) 15T24 Trivial
15.1.5976545641547631.1 x15 - 2x14 + 5x13 - 10x12 + 13x11 - 20x10 + 23x9 - 22x8 + 22x7 - 20x6 + 18x5 - 20x4 + 21x3 - 15x2 + 6x - 1 \( -\,3\cdot 195479\cdot 10191283363 \) 15T104 Trivial
15.3.6114596477365737.1 x15 - 3x14 + 5x13 - 2x12 - 8x11 + 18x10 - 18x9 + 20x7 - 27x6 + 15x5 + 3x4 - 11x3 + 10x2 - 5x + 1 \( 3^{4}\cdot 15601\cdot 4838718377 \) 15T104 Trivial
15.1.6401597515801839.1 x15 - x14 - x13 + 2x12 - 4x11 - x10 + 3x9 + 3x8 + 12x7 - 2x6 - 14x5 + 7x4 + 11x3 - 6x2 + 1 \( -\,3^{9}\cdot 13^{3}\cdot 23^{6} \) 15T29 Trivial
15.5.8565893077528823.1 x15 - 6x13 + 9x11 - 18x10 + x9 + 32x8 - 17x7 - 19x6 + 24x5 + 3x4 - 15x3 + 3x2 + 4x - 1 \( -\,23^{5}\cdot 191^{4} \) 15T32 Trivial
15.5.10496055636998343.1 x15 - 4x14 + 6x13 - x12 - 11x11 + 18x10 - 10x9 - 9x8 + 19x7 - 12x6 - 3x5 + 9x4 - 5x3 - x2 + 3x - 1 \( -\,3^{5}\cdot 157\cdot 2377\cdot 115742009 \) 15T104 Trivial
15.3.10544075126076649.1 x15 - 6x14 + 11x13 - x12 - 10x11 - 13x10 + 18x9 + 40x8 - 30x7 - 64x6 + 42x5 + 47x4 - 27x3 - 19x2 + 9x + 1 \( 37^{2}\cdot 43^{2}\cdot 1609^{3} \) 15T78 Trivial
15.3.11354350039657729.1 x15 - 4x14 + 5x13 + x12 - 7x11 + x10 + 7x9 - 2x8 - 8x7 + 22x6 - 37x5 + 35x4 - 20x3 + 11x2 - 7x + 1 \( 13^{2}\cdot 127^{2}\cdot 1609^{3} \) 15T78 Trivial
15.3.12853809661090929.1 x15 - x14 - x13 + 3x12 - x10 - 4x9 + 4x8 + 2x7 - 7x6 - x5 + 2x4 - x3 + 2x + 1 \( 3\cdot 4284603220363643 \) 15T104 Trivial
15.3.15315650494266781.1 x15 - 2x14 + x13 - x12 + 7x11 - 5x10 - 10x9 + 7x8 + 16x7 - 15x6 - 19x5 + 27x4 - 2x3 - 11x2 + 6x - 1 \( 127^{2}\cdot 9829^{3} \) 15T78 Trivial
15.3.16680932154277329.1 x15 - 2x14 + 6x13 - 14x12 + 23x11 - 35x10 + 44x9 - 41x8 + 25x7 - 4x6 - 20x5 + 34x4 - 30x3 + 17x2 - 6x + 1 \( 3\cdot 47\cdot 103\cdot 11057\cdot 103878739 \) 15T104 Trivial
15.3.19664802801826816.1 x15 - 5x14 + 14x13 - 23x12 + 19x11 + 7x10 - 41x9 + 47x8 - 10x7 - 39x6 + 50x5 - 18x4 - 16x3 + 21x2 - 9x + 1 \( 2^{10}\cdot 79^{7} \) $D_5\times S_3$ Trivial
15.3.21643467887730481.1 x15 - x14 - x13 + x12 - 7x11 - 2x10 + 18x9 + 12x8 - 17x7 + 7x6 - 11x5 - 21x4 + 22x3 - 11x2 - 2x - 1 \( 13^{2}\cdot 47^{6}\cdot 109^{2} \) 15T46 Trivial

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