## Results (13 matches)

Label Polynomial Discriminant Galois group Class group
20.2.627...672.1 x20 - 2x19 + 5x17 - x16 - 6x15 - 8x14 + 22x13 + 4x12 - 32x11 + 16x10 + 10x9 + 3x8 - 30x7 + 22x6 + 5x5 - 12x4 + 4x3 - 2x2 + 3x - 1 $-\,2^{16}\cdot 3^{5}\cdot 13^{14}$ $D_{10}:C_4$ (as 20T22) trivial
20.2.640...000.1 x20 - 5x18 + 5x16 - 10x14 + 45x12 + x10 - 45x8 - 10x6 - 5x4 - 5x2 - 1 $-\,2^{28}\cdot 5^{22}$ $D_{10}:C_4$ (as 20T22) trivial
20.4.320...000.1 x20 - 72x15 - 712x10 + 288x5 + 16 $2^{16}\cdot 5^{22}\cdot 29^{5}$ $D_{10}:C_4$ (as 20T22) trivial
20.0.160...000.1 x20 - 5x19 + 10x18 - 25x17 + 70x16 - 51x15 - 50x14 - 235x13 + 895x12 - 180x11 - 384x10 - 1430x9 + 2595x8 + 2575x7 + 5100x6 + 3749x5 + 5420x4 + 2385x3 + 1760x2 + 445x + 431 $2^{16}\cdot 5^{23}\cdot 29^{5}$ $D_{10}:C_4$ (as 20T22) $[2]$
20.4.191...125.1 x20 - 4x15 - 183x10 + 104x5 + 1 $5^{30}\cdot 29^{5}$ $D_{10}:C_4$ (as 20T22) trivial
20.0.955...625.1 x20 - 6x15 - 439x10 + 5344x5 + 161051 $5^{31}\cdot 29^{5}$ $D_{10}:C_4$ (as 20T22) $[2]$
20.10.368...000.1 x20 - 5x18 - 115x16 - 250x14 + 525x12 + 1201x10 - 525x8 - 250x6 + 115x4 - 5x2 - 1 $-\,2^{28}\cdot 5^{22}\cdot 7^{8}$ $D_{10}:C_4$ (as 20T22) trivial
20.10.184...000.1 x20 - 160x16 + 2360x12 - 4240x8 + 1520x4 - 80 $-\,2^{28}\cdot 5^{23}\cdot 7^{8}$ $D_{10}:C_4$ (as 20T22) trivial
20.2.190...000.1 x20 - 5 $-\,2^{20}\cdot 5^{39}$ $D_{10}:C_4$ (as 20T22) trivial
20.20.184...000.1 x20 - 5x19 - 30x18 + 160x17 + 330x16 - 1933x15 - 1700x14 + 11500x13 + 4245x12 - 36760x11 - 5160x10 + 65020x9 + 4050x8 - 63410x7 - 3400x6 + 31774x5 + 1655x4 - 6755x3 + 100x2 + 460x - 41 $2^{16}\cdot 5^{22}\cdot 7^{8}\cdot 29^{5}$ $D_{10}:C_4$ (as 20T22) trivial
20.0.193...712.1 x20 - 5x19 - 11x18 + 83x17 + 56x16 - 700x15 + 105x14 + 2882x13 - 1781x12 - 5757x11 + 7777x10 + 3940x9 - 13469x8 - 7812x7 + 52825x6 - 87721x5 + 99762x4 - 30932x3 + 54617x2 - 18028x + 20591 $2^{15}\cdot 17^{14}\cdot 37^{8}$ $D_{10}:C_4$ (as 20T22) $[4, 20]$
20.20.128...288.1 x20 - 3x19 - 38x18 + 109x17 + 461x16 - 1366x15 - 2392x14 + 7958x13 + 5346x12 - 23708x11 - 2958x10 + 37354x9 - 7565x8 - 29683x7 + 13316x6 + 9335x5 - 6991x4 + 252x3 + 780x2 - 208x + 16 $2^{16}\cdot 17^{5}\cdot 53^{14}$ $D_{10}:C_4$ (as 20T22) trivial
20.0.185...616.1 x20 - 3x19 - 8x18 + 28x17 - x16 - 28x15 + 212x14 - 658x13 + 2547x12 - 587x11 + 12252x10 + 10456x9 + 54982x8 + 70259x7 + 186965x6 + 205103x5 + 344870x4 + 251547x3 + 274509x2 + 116534x + 141499 $2^{16}\cdot 29^{5}\cdot 53^{14}$ $D_{10}:C_4$ (as 20T22) $[2, 410]$