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Label Polynomial Discriminant Galois group Class group
13.1.1325925503633.1 x13 - x12 - x11 + x10 + 3x8 - x7 - 5x6 + x5 + 4x4 + 2x3 - 3x2 - x + 1 \( 97\cdot 13669335089 \) $S_{13}$ (as 13T9) Trivial
13.1.1346252740661.1 x13 - 4x11 + 5x9 - x7 - x6 - x5 + 2x4 + 2x3 - x2 - 2x + 1 \( 1346252740661 \) $S_{13}$ (as 13T9) Trivial
13.1.1452927822421.1 x13 - 4x12 + 6x11 - x10 - 10x9 + 17x8 - 9x7 - 9x6 + 19x5 - 11x4 - 2x3 + 7x2 - 4x + 1 \( 83\cdot 17505154487 \) $S_{13}$ (as 13T9) Trivial
13.1.3518110599125.1 x13 + x11 - 2x10 + x9 - x8 - 4x7 + 4x6 - 5x5 + x4 + 2x3 - 4x2 + 2x - 1 \( 5^{3}\cdot 5351\cdot 5259743 \) $S_{13}$ (as 13T9) Trivial
13.1.4082190012125.1 x13 - x12 - 2x11 + x10 + 2x8 + 2x7 - x6 - 2x5 - x4 + 2x3 + 2x2 - 3x + 1 \( 5^{3}\cdot 73\cdot 447363289 \) $S_{13}$ (as 13T9) Trivial
13.3.5570916369223.1 x13 - x12 + x11 - 4x10 + 5x9 - 5x8 + 6x7 - 2x6 - 5x5 + 5x4 - 7x3 + 5x2 - x + 1 \( -\,5570916369223 \) $S_{13}$ (as 13T9) Trivial
13.3.5717814639679.1 x13 - 2x12 - 3x11 + 7x10 + 3x9 - 7x8 - 6x7 + 4x6 + 8x5 - 3x4 - 4x3 + 2x2 - 1 \( -\,89\cdot 107\cdot 283\cdot 2121631 \) $S_{13}$ (as 13T9) Trivial
13.3.6855574490939.1 x13 - x12 + 2x11 + 2x10 - 3x9 + x8 - x7 - 8x6 - 7x5 - 6x4 - 6x3 - 6x2 - 4x - 1 \( -\,1798333\cdot 3812183 \) $S_{13}$ (as 13T9) Trivial
13.3.7805208559959.1 x13 - 4x12 + 6x11 - 6x10 + 7x9 - 5x8 - x7 + x6 + 5x5 - 2x4 - 3x3 - x2 + 1 \( -\,3^{3}\cdot 31\cdot 71\cdot 821\cdot 159977 \) $S_{13}$ (as 13T9) Trivial
13.3.9197165262683.1 x13 - 2x10 + 2x9 - x8 - 3x7 - 3x6 + 9x5 - 10x4 + 7x3 + 1 \( -\,82163\cdot 111938041 \) $S_{13}$ (as 13T9) Trivial
13.1.10905397816000.1 x13 - 3x12 + 8x11 - 12x10 + 15x9 - 12x8 + 6x7 + x6 - 6x5 + 8x4 - 6x3 + 5x2 - x + 1 \( 2^{6}\cdot 5^{3}\cdot 26141\cdot 52147 \) $S_{13}$ (as 13T9) Trivial
13.1.12359517706496.1 x13 - 3x12 + 5x11 - 4x10 + 5x8 - 7x7 + 6x6 - x5 - 3x4 + 4x3 - 2x2 + 1 \( 2^{8}\cdot 71\cdot 5197\cdot 130843 \) $S_{13}$ (as 13T9) Trivial
13.3.14047799762079.1 x13 - 2x12 + 2x10 - 3x9 + 4x8 - 4x7 + 4x6 - 5x5 + 3x4 - 2x3 + 3x2 - x - 1 \( -\,3^{3}\cdot 16103\cdot 32310059 \) $S_{13}$ (as 13T9) Trivial
13.3.18597951501632.1 x13 - 2x12 + x11 + x10 - 6x9 + 3x8 + 7x7 - 4x6 + 4x4 - 4x3 - 4x2 + x + 1 \( -\,2^{6}\cdot 67\cdot 43517\cdot 99667 \) $S_{13}$ (as 13T9) Trivial
13.3.21982001088443.1 x13 - x12 + x11 + 3x10 - 8x9 + 10x8 - 6x7 - 5x6 + 15x5 - 19x4 + 15x3 - 9x2 + 3x - 1 \( -\,11^{2}\cdot 71\cdot 2558724373 \) $S_{13}$ (as 13T9) Trivial
13.3.21990353102339.1 x13 - 2x12 + 4x11 - 5x10 + 3x9 + x8 - 4x7 + 9x6 - 7x5 + 2x4 - 4x2 + 4x - 1 \( -\,157\cdot 3169\cdot 44198783 \) $S_{13}$ (as 13T9) Trivial
13.1.24777340928000.1 x13 - 2x12 + 4x11 - 5x10 + 2x9 + x8 - 6x7 + 8x6 - 3x5 + 4x4 + 4x3 - x2 + 4x - 1 \( 2^{14}\cdot 5^{3}\cdot 12098311 \) $S_{13}$ (as 13T9) Trivial
13.5.28261626739249.1 x13 - 3x12 + 3x11 + 3x10 - 13x9 + 14x8 + 2x7 - 20x6 + 18x5 + x4 - 11x3 + 6x2 + x - 1 \( 2161\cdot 13078031809 \) $S_{13}$ (as 13T9) Trivial
13.5.28318356165577.1 x13 - 3x11 - 4x10 + 2x9 + 9x8 + 6x7 - 4x6 - 10x5 - 3x4 + 4x3 + 4x2 - 1 \( 1721\cdot 16454593937 \) $S_{13}$ (as 13T9) Trivial
13.1.29747917088000.1 x13 - 4x12 + 10x11 - 20x10 + 30x9 - 40x8 + 44x7 - 43x6 + 38x5 - 31x4 + 24x3 - 16x2 + 8x - 2 \( 2^{8}\cdot 5^{3}\cdot 139\cdot 6687931 \) $S_{13}$ (as 13T9) Trivial
13.3.34372007159104.1 x13 - x12 - 2x11 + 5x10 + x9 - 8x8 + 5x7 + 7x6 - 2x4 - 4x - 1 \( -\,2^{6}\cdot 29\cdot 239\cdot 77487031 \) $S_{13}$ (as 13T9) Trivial
13.1.36713824791125.1 x13 - x12 + x10 - x8 + 4x5 - 9x4 + 12x3 - 8x2 + 4x - 1 \( 5^{3}\cdot 374321\cdot 784649 \) $S_{13}$ (as 13T9) Trivial
13.1.48103150106125.1 x13 - 2x12 + 4x10 - 3x9 - 5x8 + 7x7 + x6 - 8x5 + 3x4 + 5x3 - 3x2 - x + 2 \( 5^{3}\cdot 83\cdot 4636448203 \) $S_{13}$ (as 13T9) Trivial
13.1.48551226272641.1 x13 - 2x12 + 4x10 - 5x9 + x8 + 5x7 - 11x6 + 19x5 - 22x4 + 16x3 - 10x2 + 6x - 1 \( 191^{6} \) $D_{13}$ (as 13T2) Trivial
13.3.49047631346319.1 x13 - 2x12 + 3x11 + 2x10 - 9x9 + 12x8 - 2x7 - 19x6 + 27x5 - 19x4 - x3 + 11x2 - 6x + 1 \( -\,3\cdot 16349210448773 \) $S_{13}$ (as 13T9) Trivial
13.3.53877019237375.1 x13 - 2x12 - 4x11 + 7x10 + 6x9 - 6x8 - 6x7 - 8x6 + 8x5 + 15x4 - 7x3 - 7x2 + x + 1 \( -\,5^{3}\cdot 204793\cdot 2104643 \) $S_{13}$ (as 13T9) Trivial
13.1.57655000561921.1 x13 - 3x12 + 7x11 - 10x10 + 15x9 - 17x8 + 19x7 - 18x6 + 15x5 - 12x4 + 6x3 - 3x2 + 2x - 1 \( 7^{4}\cdot 83^{2}\cdot 1867^{2} \) $A_{13}$ (as 13T8) Trivial
13.3.60464861374756.1 x13 - x11 - 3x10 - x9 + 4x8 + 5x7 - x6 - 6x5 - 5x4 + x3 + 4x2 + 3x + 1 \( -\,2^{2}\cdot 15116215343689 \) $S_{13}$ (as 13T9) Trivial
13.3.69188908404875.1 x13 - 3x12 + 3x11 - 3x10 + 5x9 + 2x8 - 17x7 + 10x6 + 16x5 - 16x4 - 5x3 + 7x2 - 1 \( -\,5^{3}\cdot 7^{5}\cdot 31\cdot 1062367 \) $S_{13}$ (as 13T9) Trivial
13.3.96082590998375.1 x13 - 4x11 - 3x10 + 9x9 + 10x8 - 4x7 - 12x6 - 13x5 + 5x4 + 12x3 - x + 1 \( -\,5^{3}\cdot 768660727987 \) $S_{13}$ (as 13T9) Trivial
13.3.105628246955776.1 x13 - x12 + 3x11 - x10 + 3x9 + 6x8 - 6x7 + x6 + 6x5 - 8x4 - 9x3 + 2x2 + 4x + 1 \( -\,2^{8}\cdot 257\cdot 1605487703 \) $S_{13}$ (as 13T9) Trivial
13.3.114312593686528.1 x13 - x12 - 5x11 + 15x9 + 9x8 - 28x7 - 20x6 + 26x5 + 20x4 - 12x3 - 10x2 + 2x + 2 \( -\,2^{14}\cdot 6977087017 \) $S_{13}$ (as 13T9) Trivial
13.5.132939170094109.1 x13 - x12 - x11 - 3x10 + x9 + 5x8 + 5x7 + 3x6 - 7x5 - 7x4 - 4x3 + 2x2 + 4x + 1 \( 132939170094109 \) $S_{13}$ (as 13T9) Trivial
13.3.134713017952000.1 x13 - 5x12 + 15x11 - 34x10 + 56x9 - 79x8 + 85x7 - 78x6 + 53x5 - 25x4 + 6x3 + 4x2 - 2x + 1 \( -\,2^{8}\cdot 5^{3}\cdot 4209781811 \) $S_{13}$ (as 13T9) Trivial
13.7.137400291790087.1 x13 - 4x12 + x11 + 15x10 - 18x9 - 15x8 + 38x7 - 5x6 - 32x5 + 17x4 + 11x3 - 10x2 - x + 1 \( -\,137400291790087 \) $S_{13}$ (as 13T9) Trivial
13.7.146839998625007.1 x13 - 2x11 - 3x10 - 4x9 + 7x8 + 6x7 - 4x6 - 2x5 - 5x4 + 5x3 + 3x2 - 4x + 1 \( -\,146839998625007 \) $S_{13}$ (as 13T9) Trivial
13.3.156408138976000.1 x13 - 3x12 + 3x11 - 4x10 + 4x9 + 7x8 - 20x7 + 27x6 - 35x5 + 41x4 - 36x3 + 24x2 - 12x + 4 \( -\,2^{8}\cdot 5^{3}\cdot 137\cdot 599\cdot 59561 \) $S_{13}$ (as 13T9) Trivial
13.5.197683647463424.1 x13 - 2x12 + x11 - 3x10 - 5x9 + 7x8 + 2x7 + 6x6 + 4x5 - 6x4 - 8x3 + 6x - 2 \( 2^{14}\cdot 12065652311 \) $S_{13}$ (as 13T9) Trivial
13.3.215762905145828.1 x13 - 2x12 + x11 + 5x10 - 10x9 + 4x8 + 8x7 - 13x6 + 5x5 + 10x4 - 9x3 - 3x2 + 4x + 1 \( -\,2^{2}\cdot 953\cdot 10313\cdot 5488313 \) $S_{13}$ (as 13T9) Trivial
13.1.293959006143997.1 x13 - x - 1 \( 28201\cdot 10423708597 \) $S_{13}$ (as 13T9) Trivial
13.1.311791207040509.1 x13 + x - 1 \( 7\cdot 17\cdot 47\cdot 277\cdot 1723\cdot 116803 \) $S_{13}$ (as 13T9) Trivial
13.1.330928743953809.1 x13 - 6x12 + 15x11 - 21x10 + 19x9 - 13x8 + 12x7 - 22x6 + 36x5 - 38x4 + 27x3 - 16x2 + 8x - 1 \( 263^{6} \) $D_{13}$ (as 13T2) Trivial
13.3.509211272757248.1 x13 - x12 - 2x11 - 2x10 + 3x9 + 4x8 + 8x7 - 4x6 - 13x5 + 3x4 + 2x3 - 6x2 + x + 2 \( -\,2^{14}\cdot 31079789597 \) $S_{13}$ (as 13T9) Trivial
13.9.737652920184769.1 x13 - 2x12 - 8x11 + 17x10 + 21x9 - 53x8 - 19x7 + 75x6 - 48x4 + 5x3 + 12x2 - x - 1 \( 737652920184769 \) $S_{13}$ (as 13T9) Trivial
13.9.748906923760081.1 x13 - x12 - 8x11 + 3x10 + 28x9 - 50x7 - 3x6 + 44x5 - 4x4 - 17x3 + 5x2 + 2x - 1 \( 364027\cdot 2057284003 \) $S_{13}$ (as 13T9) Trivial
13.5.1204994394291500.1 x13 - 3x12 + 2x10 + 6x9 - 9x7 - 3x6 + x5 + 4x4 - 8x3 - 3x2 + 3x + 1 \( 2^{2}\cdot 5^{3}\cdot 83\cdot 11171\cdot 2599231 \) $S_{13}$ (as 13T9) Trivial
13.1.1414971204906609.1 x13 - x12 + x11 + x10 - x9 + x8 - x7 + 4x5 - 5x4 + 4x3 - 2x + 1 \( 3^{6}\cdot 7^{2}\cdot 29^{2}\cdot 6863^{2} \) $A_{13}$ (as 13T8) Trivial
13.3.1990387975424000.1 x13 - x12 - 4x11 - 2x10 + 6x9 + 3x8 - x7 - 6x6 + x4 + x3 - 12x2 - 3x + 1 \( -\,2^{11}\cdot 5^{3}\cdot 84089\cdot 92461 \) $S_{13}$ (as 13T9) Trivial
13.11.4161299413431551.1 x13 - x12 - 9x11 + 5x10 + 27x9 - 6x8 - 29x7 - 3x6 + x5 + 6x4 + 12x3 - 4x - 1 \( -\,137\cdot 14653\cdot 29411\cdot 70481 \) $S_{13}$ (as 13T9) Trivial
13.11.4712558875285687.1 x13 - 6x11 - 3x10 + 9x9 + 19x8 + 7x7 - 42x6 - 25x5 + 39x4 + 15x3 - 14x2 - 2x + 1 \( -\,4712558875285687 \) $S_{13}$ (as 13T9) Trivial

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