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Label Polynomial Discriminant Galois group Class group
20.0.405424975045226129161.1 x20 - 6x19 + 23x18 - 66x17 + 154x16 - 304x15 + 519x14 - 778x13 + 1036x12 - 1233x11 + 1317x10 - 1265x9 + 1093x8 - 845x7 + 580x6 - 349x5 + 180x4 - 76x3 + 25x2 - 6x + 1 \( 7^{2}\cdot 53^{6}\cdot 139^{4} \) 20T799 Trivial
20.0.2788613721199293001609.1 x20 - 2x19 + 3x18 - 12x17 + 27x16 - 39x15 + 68x14 - 127x13 + 178x12 - 215x11 + 277x10 - 328x9 + 297x8 - 211x7 + 139x6 - 82x5 + 29x4 + x3 - 3x2 - x + 1 \( 7^{2}\cdot 53^{4}\cdot 139^{6} \) 20T799 Trivial
20.0.2948433986992424882176.1 x20 + 6x18 + 18x16 + 39x14 + 65x12 + 73x10 + 45x8 + 4x6 - 11x4 - 2x2 + 1 \( 2^{12}\cdot 41^{2}\cdot 4549^{4} \) 20T799 Trivial
20.0.19865823777216080328889.1 x20 - 2x19 + 4x18 - 11x15 + 24x14 - 43x13 + 44x12 - 34x11 + 35x10 - 34x9 + 44x8 - 43x7 + 24x6 - 11x5 + 4x2 - 2x + 1 \( 7^{4}\cdot 53^{6}\cdot 139^{4} \) 20T799 Trivial (GRH)
20.0.31994921266495224201025.1 x20 - 2x19 + 8x18 - 5x17 + 11x16 + 26x15 - 5x14 + 92x13 + 59x12 + 113x11 + 187x10 + 128x9 + 183x8 + 111x7 + 103x6 + 46x5 + 41x4 + 7x3 + 10x2 + 1 \( 5^{2}\cdot 61^{6}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.4.31994921266495224201025.1 x20 - 2x19 + 7x18 - 15x17 + 30x16 - 54x15 + 95x14 - 152x13 + 221x12 - 306x11 + 361x10 - 364x9 + 297x8 - 188x7 + 58x6 + 25x5 - 36x4 + 23x3 - x2 - 2x + 1 \( 5^{2}\cdot 61^{6}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.0.45957545518334328438784.1 x20 + 4x16 + 7x12 + x10 + 7x8 + 4x4 + 1 \( 2^{20}\cdot 7^{4}\cdot 23^{2}\cdot 431^{4} \) 20T799 Trivial (GRH)
20.0.80903040633285021367225.1 x20 - 7x19 + 25x18 - 62x17 + 119x16 - 190x15 + 266x14 - 324x13 + 337x12 - 289x11 + 188x10 - 95x9 + 36x8 + x7 - 4x6 + x5 - 2x4 + 2x3 + x2 + 1 \( 5^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.4.80903040633285021367225.1 x20 - 7x19 + 21x18 - 30x17 - 4x16 + 114x15 - 273x14 + 403x13 - 455x12 + 450x11 - 441x10 + 450x9 - 455x8 + 403x7 - 273x6 + 114x5 - 4x4 - 30x3 + 21x2 - 7x + 1 \( 5^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.0.136642072338765357078841.1 x20 - 4x19 + 8x18 - 17x17 + 24x16 - 15x15 + 22x14 + x13 - 8x12 - 7x11 - 47x10 + 7x9 - 8x8 - x7 + 22x6 + 15x5 + 24x4 + 17x3 + 8x2 + 4x + 1 \( 7^{4}\cdot 53^{4}\cdot 139^{6} \) 20T799 Trivial (GRH)
20.4.829565981540845553188864.3 x20 - 4x18 + 2x16 + 3x14 + 9x12 - 8x10 - 8x8 - 9x6 + 10x4 + 2x2 + 1 \( 2^{20}\cdot 37^{2}\cdot 4903^{4} \) 20T799 Trivial (GRH)
20.4.829565981540845553188864.4 x20 - 3x18 + 9x16 - 15x14 + 16x12 - 14x10 + 24x8 - 34x6 + 24x4 - 8x2 + 1 \( 2^{20}\cdot 37^{2}\cdot 4903^{4} \) 20T799 Trivial (GRH)
20.8.1076309151404899342122481.1 x20 - 10x18 - x17 + 37x16 + 11x15 - 49x14 - x13 - 26x12 - 121x11 + 145x10 + 314x9 - 151x8 - 350x7 + 55x6 + 193x5 + 3x4 - 51x3 - 6x2 + 5x + 1 \( 29^{2}\cdot 61^{6}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.0.1560047990801406298867984.1 x20 + 4x18 + 5x16 - 6x14 - 3x12 + 29x10 + 42x8 + 45x6 + 44x4 + 25x2 + 16 \( 2^{4}\cdot 47^{2}\cdot 81509^{4} \) 20T799 Trivial (GRH)
20.4.1573657145958450112579881.1 x20 - 6x19 + 13x18 - 2x17 - 44x16 + 78x15 - 18x14 - 104x13 + 112x12 + 32x11 - 133x10 + 32x9 + 112x8 - 104x7 - 18x6 + 78x5 - 44x4 - 2x3 + 13x2 - 6x + 1 \( 3^{2}\cdot 97^{2}\cdot 65657^{4} \) 20T799 Trivial (GRH)
20.4.2366344376869986781907809.1 x20 - 4x17 - 8x16 - 21x15 - 43x14 - 68x13 - 84x12 - 84x11 - 80x10 - 7x9 + 112x8 + 249x7 + 356x6 + 437x5 + 468x4 + 411x3 + 264x2 + 115x + 25 \( 43^{2}\cdot 61^{6}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.4.2366344376869986781907809.2 x20 - 7x19 + 23x18 - 49x17 + 89x16 - 151x15 + 197x14 - 167x13 + 151x12 - 276x11 + 324x10 - 27x9 - 268x8 + 120x7 + 171x6 - 135x5 - 68x4 + 100x3 - 25x2 - 5x + 1 \( 43^{2}\cdot 61^{6}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.8.2721578286903708118793449.1 x20 - 7x18 + 15x16 - 8x14 - 47x12 + 154x10 - 239x8 + 208x6 - 77x4 - 2x2 + 1 \( 29^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.8.10211541282372040816328704.1 x20 - 2x18 + 2x16 - 7x14 + 8x12 - 3x10 + 8x8 - 7x6 + 2x4 - 2x2 + 1 \( 2^{20}\cdot 7^{4}\cdot 43^{2}\cdot 1217^{4} \) 20T799 Trivial (GRH)
20.8.12109442907327939057025024.1 x20 - 9x18 + 34x16 - 88x14 + 166x12 - 234x10 + 250x8 - 179x6 + 74x4 - 15x2 + 1 \( 2^{20}\cdot 13^{4}\cdot 167^{2}\cdot 347^{4} \) 20T799 Trivial (GRH)
20.4.22089082458880657837756441.1 x20 - 12x18 + 70x16 - 262x14 + 535x12 - 625x10 + 619x8 - 942x6 + 619x4 - 35x2 + 1 \( 19^{4}\cdot 31^{2}\cdot 113^{2}\cdot 151^{4}\cdot 163^{2} \) 20T799 Trivial (GRH)
20.12.35692254368051412309695449.1 x20 - 13x18 - 8x17 + 28x16 + 9x15 - 18x14 + 47x13 + 73x12 - 54x11 - 155x10 - 54x9 + 73x8 + 47x7 - 18x6 + 9x5 + 28x4 - 8x3 - 13x2 + 1 \( 61^{6}\cdot 167^{2}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.4.35692254368051412309695449.1 x20 - 2x19 - x18 - 6x17 + 20x16 + 3x15 + 11x14 - 75x13 + 20x11 + 110x10 - 51x9 - 61x8 + 52x7 + 29x6 + 46x5 - 86x4 - 78x3 + x2 + 7x + 1 \( 61^{6}\cdot 167^{2}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.8.74101685266727304803812129.1 x20 - 6x19 + 9x18 + 15x17 - 57x16 + 21x15 + 106x14 - 77x13 - 200x12 + 267x11 + 214x10 - 712x9 + 443x8 + 431x7 - 900x6 + 454x5 + 192x4 - 289x3 + 105x2 - 17x + 1 \( 11^{2}\cdot 17^{4}\cdot 157^{2}\cdot 4153^{4} \) 20T799 Trivial (GRH)
20.4.82919007586127476559970304.1 x20 - 9x18 + 33x16 - 64x14 + 71x12 - 48x10 + 24x8 - 10x6 + x4 - x2 + 1 \( 2^{20}\cdot 13^{4}\cdot 19^{2}\cdot 23^{2}\cdot 347^{4} \) 20T799 Trivial (GRH)
20.8.90252196008867438436421521.1 x20 - 5x19 + 10x18 - 20x17 + 41x16 - 62x15 + 76x14 - 16x13 - 12x12 - 99x11 + 139x10 - 332x9 + 839x8 - 1486x7 + 1406x6 - 329x5 - 420x4 + 254x3 - x2 - 17x + 1 \( 61^{4}\cdot 97^{2}\cdot 167^{2}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.0.100230360358533121932197761.1 x20 - 5x19 + 21x18 - 56x17 + 130x16 - 242x15 + 416x14 - 626x13 + 911x12 - 1169x11 + 1519x10 - 1743x9 + 2025x8 - 2024x7 + 1923x6 - 1500x5 + 1218x4 - 513x3 + 316x2 + 20x + 25 \( 43^{2}\cdot 61^{4}\cdot 397^{6} \) 20T799 Trivial (GRH)
20.8.100230360358533121932197761.1 x20 - 2x19 - 5x18 + 2x17 + 25x16 - 2x15 - 55x14 + 72x13 - 35x12 - 70x11 + 139x10 - 70x9 - 35x8 + 72x7 - 55x6 - 2x5 + 25x4 + 2x3 - 5x2 - 2x + 1 \( 43^{2}\cdot 61^{4}\cdot 397^{6} \) 20T799 Trivial (GRH)
20.0.104226732560060708467769344.4 x20 + 2x18 + x16 + x14 + 2x12 + 3x10 + 2x8 + x6 + x4 + 2x2 + 1 \( 2^{20}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 $[2]$ (GRH)
20.0.104226732560060708467769344.5 x20 + 3x18 + 16x16 + 12x14 + 36x12 + 38x10 + 29x8 + 41x6 - 12x4 + 2x2 + 1 \( 2^{20}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.0.104226732560060708467769344.6 x20 + 2x18 + 2x16 + 2x14 + x12 + x10 + x8 + 2x6 + 2x4 + 2x2 + 1 \( 2^{20}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 $[2]$ (GRH)
20.0.246643728856009044129829561.1 x20 - 2x19 + 7x18 - 12x17 + 17x16 - 44x15 + 57x14 - 117x13 + 244x12 - 349x11 + 582x10 - 641x9 + 803x8 - 667x7 + 827x6 - 417x5 + 540x4 - 51x3 + 153x2 + 35x + 25 \( 61^{6}\cdot 397^{4}\cdot 439^{2} \) 20T799 Trivial (GRH)
20.4.390378896536378528129613824.1 x20 - 2x18 + 3x16 + 12x14 - 4x12 - 38x10 + 12x8 - 23x6 - 16x4 - 5x2 + 1 \( 2^{20}\cdot 29^{2}\cdot 257^{2}\cdot 1609^{4} \) 20T799 Trivial (GRH)
20.12.392139086823683498913562624.1 x20 - 5x18 + 8x16 - 7x14 + 10x12 - 47x10 + 175x8 - 261x6 + 165x4 - 39x2 + 1 \( 2^{20}\cdot 13^{2}\cdot 38569^{4} \) 20T799 Trivial (GRH)
20.8.666834700704333044833583104.1 x20 - 3x18 + 3x16 - 5x14 + 7x12 - 5x10 + 7x8 - 5x6 + 3x4 - 3x2 + 1 \( 2^{20}\cdot 43^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.16.2749111282333379101357955761.1 x20 - 7x19 + 4x18 + 69x17 - 125x16 - 220x15 + 658x14 + 130x13 - 1599x12 + 745x11 + 2341x10 - 1813x9 - 2567x8 + 1464x7 + 2013x6 - 59x5 - 561x4 - 127x3 + 29x2 + 12x + 1 \( 17^{4}\cdot 67^{2}\cdot 157^{2}\cdot 4153^{4} \) 20T799 Trivial (GRH)
20.4.4527495904545724649485716169.1 x20 - 3x19 + 3x18 + 5x17 - 19x16 - 61x15 + 153x14 - 165x13 - 211x12 + 234x11 + 219x10 - 234x9 - 211x8 + 165x7 + 153x6 + 61x5 - 19x4 - 5x3 + 3x2 + 3x + 1 \( 17^{4}\cdot 61^{4}\cdot 397^{6} \) 20T799 Trivial (GRH)
20.4.4527495904545724649485716169.2 x20 - 9x18 - 2x17 + 32x16 - 23x15 - 22x14 + 300x13 - 147x12 - 899x11 + 551x10 + 830x9 - 2963x8 + 2469x7 + 4924x6 - 5175x5 + 163x4 + 2829x3 - 5510x2 - 987x + 2209 \( 17^{4}\cdot 61^{4}\cdot 397^{6} \) 20T799 Trivial (GRH)
20.4.9176208368973513838364876161.1 x20 - 6x19 + 7x18 + 3x17 + 47x16 - 124x15 - 152x14 + 297x13 + 41x12 + 242x11 - 1501x10 + 2218x9 - 2653x8 + 3355x7 - 2958x6 + 3458x5 - 5799x4 + 7115x3 - 4093x2 + 980x - 89 \( 673^{2}\cdot 4673^{2}\cdot 5519^{4} \) 20T799 Trivial (GRH)
20.16.106728174141502165470995808256.1 x20 - 20x18 - 10x17 + 112x16 + 180x15 - 422x14 - 838x13 + 1344x12 + 1554x11 - 2714x10 - 1228x9 + 2945x8 + 252x7 - 1610x6 + 156x5 + 396x4 - 70x3 - 32x2 + 4x + 1 \( 2^{30}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.12.428945232220606532894916703441.1 x20 - 5x19 - 20x18 + 160x17 - 65x16 - 1289x15 + 1513x14 + 5330x13 - 7066x12 - 14005x11 + 15040x10 + 23758x9 - 15281x8 - 22891x7 + 7548x6 + 11742x5 - 1306x4 - 2588x3 - 23x2 + 155x + 25 \( 29^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{6} \) 20T799 Trivial (GRH)
20.0.1473037853855871696037385076736.1 x20 + 19x18 + 147x16 + 608x14 + 1472x12 + 2137x10 + 1828x8 + 872x6 + 212x4 + 24x2 + 1 \( 2^{20}\cdot 43^{2}\cdot 47^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 $[48]$ (GRH)
20.20.1473037853855871696037385076736.1 x20 - 19x18 + 147x16 - 608x14 + 1472x12 - 2137x10 + 1828x8 - 872x6 + 212x4 - 24x2 + 1 \( 2^{20}\cdot 43^{2}\cdot 47^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.12.2255294295609931824728669945856.1 x20 + 7x18 - 23x16 - 86x14 + 222x12 + 94x10 - 321x8 - 17x6 + 89x4 - 20x2 + 1 \( 2^{20}\cdot 3^{2}\cdot 367^{2}\cdot 36497^{4} \) 20T799 Trivial (GRH)
20.12.4102082421518101299467228545024.1 x20 - 19x18 + 148x16 - 610x14 + 1430x12 - 1913x10 + 1430x8 - 610x6 + 148x4 - 19x2 + 1 \( 2^{20}\cdot 13^{2}\cdot 4903^{4}\cdot 6329^{2} \) 20T799 Trivial (GRH)
20.12.7037796835036139799653257314304.1 x20 - 20x18 + 164x16 - 706x14 + 1703x12 - 2301x10 + 1703x8 - 706x6 + 164x4 - 20x2 + 1 \( 2^{20}\cdot 13^{4}\cdot 17^{2}\cdot 347^{4}\cdot 7489^{2} \) 20T799 Trivial (GRH)
20.0.19942275922746836458938355941376.1 x20 + 13x18 + 65x16 + 597x14 + 5977x12 + 20078x10 + 51698x8 + 647196x6 + 1152205x4 + 24039409 \( 2^{20}\cdot 37^{2}\cdot 4903^{6} \) 20T799 $[2]$ (GRH)
20.0.19942275922746836458938355941376.2 x20 - x18 - 64x16 + 695x14 - 2902x12 - 42191x10 + 149242x8 + 808995x6 + 1671923x4 + 24039409 \( 2^{20}\cdot 37^{2}\cdot 4903^{6} \) 20T799 $[2]$ (GRH)
20.20.77701248730243850361962106978304.1 x20 - 29x18 + 322x16 - 1876x14 + 6454x12 - 13747x10 + 18258x8 - 14724x6 + 6737x4 - 1518x2 + 121 \( 2^{20}\cdot 11^{2}\cdot 17^{4}\cdot 157^{2}\cdot 4153^{4} \) 20T799 Trivial (GRH)
20.0.98295783708427481124900406663321.1 x20 - 15x18 + 49x16 + 245x14 - 257x12 - 16447x10 + 97521x8 - 333151x6 + 982562x4 - 1113772x2 + 3948169 \( 61^{4}\cdot 97^{2}\cdot 397^{6}\cdot 439^{2} \) 20T799 $[2, 32]$ (GRH)


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