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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 \( 5^{3}\cdot 7^{10}\cdot 37^{3} \) $S_5 \times C_3$ (as 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 \( 3^{9}\cdot 5^{3}\cdot 7^{11} \) $S_5 \times C_3$ (as 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 \( -\,3^{9}\cdot 13^{3}\cdot 23^{6} \) $S_5 \times S_3$ (as 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 \( 2^{10}\cdot 79^{7} \) $D_5\times S_3$ (as 15T7) 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
15.3.23713122135310336.1 x15 - 5x14 + 10x13 - 5x12 - 15x11 + 29x10 - 8x9 - 31x8 + 36x7 - 24x5 + 12x4 + 9x3 - 9x2 + 1 \( 2^{18}\cdot 67^{6} \) $A_5$ (as 15T5) Trivial
15.1.24118280788986467.1 x15 - 2x14 + 6x12 - 13x11 + 13x10 - x9 - 21x8 + 40x7 - 41x6 + 29x5 - 18x4 + 13x3 - 7x2 + x + 1 \( -\,59^{6}\cdot 83^{3} \) $S_5 \times S_3$ (as 15T29) Trivial
15.3.31123779291971584.1 x15 + x13 - x12 - 5x11 - 4x10 - 5x9 - x8 + 4x7 + 2x6 - 2x5 - 4x4 - 5x3 - 4x2 - 3x - 1 \( 2^{18}\cdot 587^{4} \) 15T28 Trivial
15.5.35351257235385344.1 x15 - 3x13 - 5x12 + 8x11 + x10 + 14x9 - 13x8 - 17x7 + 4x6 + x5 + 22x4 - 2x3 - 8x2 - 3x - 1 \( -\,2^{10}\cdot 11^{13} \) $S_3 \times C_5$ (as 15T4) Trivial
15.3.39671359416303616.1 x15 - 7x14 + 24x13 - 47x12 + 46x11 + 18x10 - 150x9 + 296x8 - 383x7 + 371x6 - 282x5 + 171x4 - 83x3 + 31x2 - 8x + 1 \( 2^{18}\cdot 73^{6} \) $A_5$ (as 15T5) Trivial
15.1.44543599279432079.1 x15 - 4x14 + 4x13 + 4x12 - 5x11 - 13x10 + 20x9 + 4x8 - 15x7 - 13x6 + 27x5 - 4x4 - 8x3 - 2x2 + 6x - 1 \( -\,239^{7} \) $D_{15}$ (as 15T2) Trivial
15.3.47090024679574321.1 x15 - x12 - x11 - x8 - 2x7 + 2x5 + 3x4 + 2x3 - x - 1 \( 14731^{4} \) 15T28 Trivial
15.3.57352136505929721.1 x15 - 2x14 + 4x13 - 10x12 + 22x11 - 33x10 + 40x9 - 63x8 + 81x7 - 81x6 + 63x5 - 69x4 + 57x3 - 24x2 + 3 \( 3^{18}\cdot 23^{6} \) 15T53 Trivial
15.1.57477829056511319.1 x15 - 2x14 + 3x13 - 3x12 - 3x11 + 6x10 - 14x9 + 4x8 - 9x7 - 7x6 + 7x5 - 15x4 + 4x3 - 4x2 + 2x - 1 \( -\,1609^{3}\cdot 13798511 \) 15T93 Trivial
15.3.59463924292145152.1 x15 - x14 - 6x13 + 15x12 - 9x11 - 13x10 + 30x9 - 31x8 + 24x7 - 14x6 + 10x5 - 18x4 + 27x3 - 21x2 + 8x - 1 \( 2^{12}\cdot 13^{9}\cdot 37^{2} \) 15T56 Trivial
15.1.59770508839234803.1 x15 - 2x12 + 3x9 - 3x6 + x3 - 1 \( -\,3^{15}\cdot 1609^{3} \) 15T70 Trivial
15.1.59770508839234803.2 x15 - x9 - x6 + x3 + 1 \( -\,3^{15}\cdot 1609^{3} \) 15T70 Trivial
15.3.69184806150882304.1 x15 + x13 - 3x12 - 3x11 - 5x10 - 2x9 + 3x8 + 7x7 + 4x6 + x5 + x4 + 3x3 + x2 - 1 \( 2^{10}\cdot 47^{4}\cdot 61^{4} \) 15T28 Trivial
15.1.69378727128301847.1 x15 - 2x14 + 2x13 - 2x12 + 2x11 - 4x10 + 3x9 + 2x8 + x7 - 5x6 + 3x5 + 3x4 + 6x3 + 2x2 - 1 \( -\,23^{5}\cdot 47^{6} \) $D_5\times S_3$ (as 15T7) Trivial
15.5.77595502265817783.1 x15 - 3x13 - 2x12 + x11 + 12x10 + 3x9 - 15x8 - 10x7 - 4x6 + 20x5 + 7x4 - 3x3 - 7x2 - 4x + 1 \( -\,3\cdot 13^{3}\cdot 11772948303113 \) 15T104 Trivial
15.1.96318312824155136.1 x15 - 6x14 + 19x13 - 39x12 + 58x11 - 67x10 + 68x9 - 69x8 + 65x7 - 52x6 + 33x5 - 20x4 + 12x3 - 4x2 + 3x - 1 \( -\,2^{10}\cdot 11^{7}\cdot 13^{6} \) $D_5\times S_3$ (as 15T7) Trivial
15.3.98765528526263521.1 x15 - 3x14 + 7x13 - 12x12 + 8x11 - 2x10 - 17x9 + 36x8 - 49x7 + 54x6 - 41x5 + 30x4 - 17x3 + 8x2 - 5x + 3 \( 13^{3}\cdot 31^{6}\cdot 37^{3} \) $S_5 \times S_3$ (as 15T29) Trivial
15.3.126064044311049216.1 x15 - 4x14 + 3x13 + 15x12 - 40x11 + 23x10 + 52x9 - 111x8 + 83x7 - 67x5 + 86x4 - 62x3 + 26x2 - 7x + 1 \( 2^{10}\cdot 3^{5}\cdot 47^{7} \) $D_5\times S_3$ (as 15T7) Trivial
15.3.137631064560062464.1 x15 - x14 - 2x13 + 3x12 + 11x11 - 5x10 - 14x9 - 5x8 - 10x7 + 22x6 + 14x5 + 2x4 - 13x3 - 5x2 + 1 \( 2^{12}\cdot 23^{6}\cdot 61^{3} \) $S_5 \times S_3$ (as 15T29) Trivial
15.3.146928604515779584.1 x15 - 2x14 - 3x13 + 9x12 - x11 - 5x10 + 4x9 - x8 + x7 - x5 - x4 + 7x3 - x2 + 1 \( 2^{10}\cdot 3461^{4} \) 15T28 Trivial
15.1.154669958288795403.1 x15 - x12 + 2x9 - 3x6 + 3x3 - 1 \( -\,3^{15}\cdot 47^{6} \) 15T43 Trivial
15.1.154669958288795403.2 x15 - 2x12 + 2x9 - x6 + 1 \( -\,3^{15}\cdot 47^{6} \) 15T43 Trivial
15.5.154972454814106259.1 x15 - x14 - 2x13 + x12 + x11 - x10 + 2x9 - 15x8 + 8x7 + 28x6 - 34x5 - 7x4 + 27x3 - 7x2 - 3x + 1 \( -\,11^{13}\cdot 67^{2} \) 15T44 Trivial
15.1.196421600341796875.1 x15 - x10 + 1 \( -\,5^{15}\cdot 23^{5} \) 15T27 Trivial
15.3.334095024862954369.1 x15 - 2x14 + 3x13 - 5x12 + x11 - 19x10 + 16x9 - 26x8 + 55x7 - 78x6 + 88x5 - 54x4 + 39x3 - 52x2 + 21x - 1 \( 7^{12}\cdot 17^{6} \) $D_5\times C_3$ (as 15T3) Trivial
15.3.351730374981194881.1 x15 - 2x14 + x12 - 6x11 + 27x9 - 37x8 + 44x7 - 34x6 + 14x5 - 15x4 - 8x3 + 9x - 1 \( 7^{12}\cdot 71^{4} \) 15T30 Trivial
15.1.426781883555301359.1 x15 - x - 1 \( -\,52489\cdot 418511\cdot 19428121 \) 15T104 Trivial
15.1.449005897206417391.1 x15 + x - 1 \( -\,7334881\cdot 61215157711 \) 15T104 Trivial
15.1.677952124826430464.1 x15 - x14 + 4x13 + 4x11 - 2x10 - 6x9 - 12x8 - 25x7 + 19x6 - 6x5 + 28x4 + 32x3 - 36x2 + 4x + 4 \( -\,2^{10}\cdot 131^{7} \) $D_{15}$ (as 15T2) Trivial
15.3.872411699045053489.1 x15 - x14 - 10x12 + 17x11 - 6x10 - 17x9 + 35x8 - 10x7 - 19x6 + 23x5 - 16x4 - 5x3 + 10x2 - 4x + 1 \( 7^{8}\cdot 73^{6} \) $\GL(2,4)$ (as 15T15) Trivial

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