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Label Polynomial Discriminant Galois group Class group Regulator
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 $3.1288056301$
13.1.1346252740661.1 x13 - 4x11 + 5x9 - x7 - x6 - x5 + 2x4 + 2x3 - x2 - 2x + 1 $1346252740661$ $S_{13}$ (as 13T9) trivial $3.16017709574$
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 $3.3104562037$
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 $6.17827465513$
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 $6.75913142567$
13.3.5570916369223.1 x13 - x12 + x11 - 4x10 + 5x9 - 5x8 + 6x7 - 2x6 - 5x5 + 5x4 - 7x3 + 5x2 - x + 1 $-\,5570916369223$ $S_{13}$ (as 13T9) trivial $9.61638823677$
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 $9.76540201266$
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 $10.9027200388$
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 $11.7783503996$
13.3.9197165262683.1 x13 - 2x10 + 2x9 - x8 - 3x7 - 3x6 + 9x5 - 10x4 + 7x3 + 1 $-\,82163\cdot 111938041$ $S_{13}$ (as 13T9) trivial $13.0679687985$
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 $12.5128995808$
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 $19.8461888915$
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 $16.6395085824$
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 $20.8860106706$
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 $22.4503389791$
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 $22.0576155446$
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 $32.3528276422$
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 $33.0726626498$
13.5.28318356165577.1 x13 - 3x11 - 4x10 + 2x9 + 9x8 + 6x7 - 4x6 - 10x5 - 3x4 + 4x3 + 4x2 - 1 $1721\cdot 16454593937$ $S_{13}$ (as 13T9) trivial $33.1184429974$
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 $36.4190725607$
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 $29.7815563037$
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 $40.9666710856$
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 $47.5944591354$
13.1.48551226272641.1 x13 - 2x12 + 4x10 - 5x9 + x8 + 5x7 - 11x6 + 19x5 - 22x4 + 16x3 - 10x2 + 6x - 1 $191^{6}$ $D_{13}$ (as 13T2) trivial $26.2176148631$
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 $44.4479338582$
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 $39.9707034173$
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 $43.4347813984$
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 $66.5258088388$
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 $49.3240960032$
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 $61.9626233533$
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 $94.5194105196$
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 $95.7333582025$
13.5.132939170094109.1 x13 - x12 - x11 - 3x10 + x9 + 5x8 + 5x7 + 3x6 - 7x5 - 7x4 - 4x3 + 2x2 + 4x + 1 $132939170094109$ $S_{13}$ (as 13T9) trivial $84.1149437602$
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 $115.220069967$
13.7.137400291790087.1 x13 - 4x12 + x11 + 15x10 - 18x9 - 15x8 + 38x7 - 5x6 - 32x5 + 17x4 + 11x3 - 10x2 - x + 1 $-\,137400291790087$ $S_{13}$ (as 13T9) trivial $110.814756768$
13.7.146839998625007.1 x13 - 2x11 - 3x10 - 4x9 + 7x8 + 6x7 - 4x6 - 2x5 - 5x4 + 5x3 + 3x2 - 4x + 1 $-\,146839998625007$ $S_{13}$ (as 13T9) trivial $115.283453799$
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 $127.407170199$
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 $173.327894786$
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 $143.677539316$
13.1.293959006143997.1 x13 - x - 1 $28201\cdot 10423708597$ $S_{13}$ (as 13T9) trivial $64.2478498014$
13.1.311791207040509.1 x13 + x - 1 $7\cdot 17\cdot 47\cdot 277\cdot 1723\cdot 116803$ $S_{13}$ (as 13T9) trivial $117.917198366$
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 $88.0923358606$
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 $379.340811006$
13.9.737652920184769.1 x13 - 2x12 - 8x11 + 17x10 + 21x9 - 53x8 - 19x7 + 75x6 - 48x4 + 5x3 + 12x2 - x - 1 $737652920184769$ $S_{13}$ (as 13T9) trivial $394.327696405$
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 $397.580907117$
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 $546.676164956$
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 $307.196082794$
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 $942.961496704$
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 $1435.89972821$
13.11.4712558875285687.1 x13 - 6x11 - 3x10 + 9x9 + 19x8 + 7x7 - 42x6 - 25x5 + 39x4 + 15x3 - 14x2 - 2x + 1 $-\,4712558875285687$ $S_{13}$ (as 13T9) trivial $1547.38105528$
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