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Results (displaying all 21 matches)

Label Polynomial Discriminant Galois group Class group
21.17.38289048631639269472806869479351853.1 x21 - 21x19 - 3x18 + 186x17 + 55x16 - 897x15 - 410x14 + 2525x13 + 1584x12 - 4093x11 - 3339x10 + 3442x9 + 3694x8 - 1060x7 - 1902x6 - 106x5 + 410x4 + 98x3 - 25x2 - 11x - 1 \( 7^{14}\cdot 13\cdot 97\cdot 8914877\cdot 5021940620101 \) 21T159 Trivial (GRH)
21.19.113492159372494552843502595189730127.1 x21 - 21x19 - 3x18 + 186x17 + 52x16 - 900x15 - 368x14 + 2573x13 + 1365x12 - 4383x11 - 2836x10 + 4255x9 + 3280x8 - 2085x7 - 1991x6 + 349x5 + 561x4 + 46x3 - 53x2 - 14x - 1 \( -\,7^{14}\cdot 1091\cdot 4703\cdot 17431\cdot 1870989140621 \) 21T159 Trivial (GRH)
21.15.246116594529153198743432623523932583.1 x21 - 21x19 - 3x18 + 186x17 + 56x16 - 896x15 - 424x14 + 2509x13 + 1657x12 - 4002x11 - 3518x10 + 3205x9 + 3917x8 - 741x7 - 2043x6 - 373x5 + 369x4 + 143x3 - 10x2 - 10x - 1 \( -\,7^{14}\cdot 13\cdot 743\cdot 2267\cdot 5167\cdot 409333\cdot 7835549 \) 21T159 Trivial (GRH)
21.17.295273090543420857732075123373712153.1 x21 - 21x19 - 3x18 + 186x17 + 46x16 - 906x15 - 284x14 + 2669x13 + 927x12 - 4945x11 - 1794x10 + 5773x9 + 2182x8 - 4063x7 - 1665x6 + 1511x5 + 719x4 - 184x3 - 127x2 - 20x - 1 \( 7^{14}\cdot 27427\cdot 15873511208841403811 \) 21T159 Trivial (GRH)
21.17.380273806833409289291563492222717957.1 x21 - 21x19 - 3x18 + 186x17 + 49x16 - 903x15 - 326x14 + 2621x13 + 1146x12 - 4667x11 - 2321x10 + 5032x9 + 2776x8 - 3086x7 - 1910x6 + 894x5 + 670x4 - 46x3 - 87x2 - 17x - 1 \( 7^{14}\cdot 757\cdot 1373\cdot 537599\cdot 1003457499787 \) 21T159 Trivial (GRH)
21.19.583010612856606322911444713539464987.1 x21 - 21x19 - 3x18 + 186x17 + 51x16 - 901x15 - 354x14 + 2589x13 + 1292x12 - 4479x11 - 2667x10 + 4522x9 + 3132x8 - 2424x7 - 2000x6 + 516x5 + 612x4 + 26x3 - 63x2 - 15x - 1 \( -\,3^{28}\cdot 17^{2}\cdot 73\cdot 1207982452098121811 \) 21T159 Trivial (GRH)
21.15.781956625090438885526144155099840463.1 x21 - 21x19 - 3x18 + 186x17 + 58x16 - 894x15 - 452x14 + 2477x13 + 1803x12 - 3797x11 - 3830x10 + 2593x9 + 4018x8 - 11x7 - 1637x6 - 453x5 + 235x4 + 116x3 - 3x2 - 8x - 1 \( -\,7^{14}\cdot 13\cdot 113\cdot 784852972712844077323 \) 21T159 Trivial (GRH)
21.13.1293828810415522206118845309426655161.1 x21 - 21x19 - 3x18 + 186x17 + 53x16 - 899x15 - 382x14 + 2557x13 + 1438x12 - 4294x11 - 3019x10 + 4030x9 + 3533x8 - 1774x7 - 2183x6 + 69x5 + 551x4 + 110x3 - 36x2 - 13x - 1 \( 3^{3}\cdot 7^{14}\cdot 113\cdot 7985768699\cdot 78297036161 \) 21T159 Trivial (GRH)
21.11.5396811891984762047839189745295633479.1 x21 - 21x19 - 3x18 + 186x17 + 60x16 - 892x15 - 480x14 + 2445x13 + 1949x12 - 3615x11 - 4188x10 + 2119x9 + 4464x8 + 627x7 - 1945x6 - 1065x5 + 75x4 + 180x3 + 27x2 - 6x - 1 \( -\,7^{14}\cdot 13\cdot 97\cdot 10039\cdot 628578004368802949 \) 21T159 Trivial (GRH)
21.13.16865213361316368677229831448817302529.1 x21 - 21x19 - 3x18 + 186x17 + 54x16 - 898x15 - 396x14 + 2541x13 + 1511x12 - 4209x11 - 3210x10 + 3829x9 + 3846x8 - 1479x7 - 2499x6 - 303x5 + 537x4 + 190x3 - 15x2 - 12x - 1 \( 7^{14}\cdot 41\cdot 167\cdot 5406197\cdot 671780022444019 \) 21T159 Trivial (GRH)
21.13.40453417591156198845459427294648145741.1 x21 - 21x19 - 3x18 + 186x17 + 45x16 - 907x15 - 270x14 + 2685x13 + 854x12 - 5055x11 - 1653x10 + 6124x9 + 2244x8 - 4458x7 - 2040x6 + 1560x5 + 960x4 - 80x3 - 123x2 - 21x - 1 \( 7^{14}\cdot 59646183107903161080974909 \) 21T159 Trivial (GRH)
21.13.57940968764052746135454872365001378937.1 x21 - 21x19 - 3x18 + 186x17 + 48x16 - 904x15 - 312x14 + 2637x13 + 1073x12 - 4770x11 - 2166x10 + 5341x9 + 2733x8 - 3453x7 - 2099x6 + 1011x5 + 825x4 - x3 - 90x2 - 18x - 1 \( 3^{28}\cdot 661493771\cdot 3828819218040827 \) 21T159 Trivial (GRH)
21.11.152136328493452883717548161594456983867.1 x21 - 21x19 - 3x18 + 186x17 + 57x16 - 895x15 - 438x14 + 2493x13 + 1730x12 - 3915x11 - 3705x10 + 2992x9 + 4200x8 - 438x7 - 2312x6 - 744x5 + 312x4 + 200x3 + 9x2 - 9x - 1 \( -\,7^{15}\cdot 223\cdot 80317\cdot 1789163334752592959 \) 21T159 Trivial (GRH)
21.9.3971392006079892436551259569620283982633.1 x21 - 21x19 - 3x18 + 186x17 + 40x16 - 912x15 - 200x14 + 2765x13 + 489x12 - 5483x11 - 704x10 + 7147x9 + 724x8 - 5945x7 - 707x6 + 2889x5 + 565x4 - 622x3 - 225x2 - 26x - 1 \( 7^{14}\cdot 41\cdot 251\cdot 293\cdot 20791432411\cdot 93402948869 \) 21T159 Trivial (GRH)
21.5.7325591165663336053947172202947791814656.1 x21 - 21x15 - 18x14 - 1176x9 - 2016x8 - 864x7 - 343x3 - 882x2 - 756x - 216 \( 2^{18}\cdot 3^{35}\cdot 7^{21} \) 21T159 Trivial (GRH)
21.9.14883844215636283411475070335254453235697.1 x21 - 21x19 - 3x18 + 186x17 + 48x16 - 904x15 - 312x14 + 2637x13 + 1073x12 - 4785x11 - 2196x10 + 5431x9 + 2958x8 - 3513x7 - 2485x6 + 903x5 + 1047x4 + 138x3 - 75x2 - 18x - 1 \( 3^{28}\cdot 89\cdot 7310212084990290584871593 \) 21T159 Trivial (GRH)
21.7.38472809971686930547892998764430923170316288.1 x21 - 28x15 - 24x14 + 147x9 + 252x8 + 108x7 + 343x3 + 882x2 + 756x + 216 \( -\,2^{18}\cdot 3^{18}\cdot 7^{35} \) 21T159 Trivial (GRH)
21.5.38472809971686930547892998764430923170316288.1 x21 - 7x15 - 6x14 - 98x9 - 168x8 - 72x7 + 343x3 + 882x2 + 756x + 216 \( 2^{18}\cdot 3^{18}\cdot 7^{35} \) 21T159 Trivial (GRH)
21.7.42806290740019959803859400295965724054212608.1 x21 - 63x15 - 54x14 + 9261x3 + 23814x2 + 20412x + 5832 \( -\,2^{12}\cdot 3^{44}\cdot 7^{21}\cdot 19 \) 21T159 Trivial (GRH)
21.3.500146529631930097122608983937602001214111744.1 x21 + 35x15 - 30x14 + 294x9 - 504x8 + 216x7 + 343x3 - 882x2 + 756x - 216 \( -\,2^{18}\cdot 3^{18}\cdot 7^{35}\cdot 13 \) 21T159 Trivial (GRH)
21.3.22061010469803970863125855142005072102044729344.1 x21 + 42x15 - 36x14 + 441x9 - 756x8 + 324x7 + 343x3 - 882x2 + 756x - 216 \( -\,2^{18}\cdot 3^{46}\cdot 7^{21}\cdot 17 \) 21T159 Trivial (GRH)


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