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Results: (displaying matches 1-20 of 749)

Label Polynomial Discriminant Galois group Class group
21.1.238583305854552412020101.1 x21 - 6x18 - 6x16 + 8x15 - 8x14 + 17x13 - 3x12 + 23x11 - 28x10 - 11x9 - 45x8 - 14x7 - 44x6 - 17x5 - 21x4 - 4x3 - 8x2 - 1 \( 23^{7}\cdot 41227^{3} \) 21T62 Trivial (GRH)
21.3.3219905755813179726837607.1 x21 - 5x14 - 8x7 - 1 \( -\,7^{29} \) 21T3 Trivial (GRH)
21.3.3960879820606443846053527.1 x21 - 5x20 + 11x19 - 20x18 + 37x17 - 68x16 + 120x15 - 168x14 + 237x13 - 331x12 + 362x11 - 431x10 + 452x9 - 381x8 + 350x7 - 238x6 + 169x5 - 90x4 + 43x3 + 6x2 + 27 \( -\,13^{2}\cdot 1801^{2}\cdot 193327^{3} \) 21T139 Trivial (GRH)
21.3.6826740523487474380439552.1 x21 - 2x20 - x19 - 3x18 + 10x17 + 13x16 + x15 - 27x14 - 16x13 - 20x12 + 55x11 - 4x10 + 8x9 - 32x8 - x7 + 70x6 - 52x5 - 4x4 + 6x3 + 2x2 - 6x + 1 \( -\,2^{21}\cdot 71^{10} \) 21T8 Trivial (GRH)
21.3.7174552902718171733819392.1 x21 - 7x20 + 21x19 - 42x18 + 77x17 - 126x16 + 168x15 - 213x14 + 266x13 - 280x12 + 259x11 - 217x10 + 133x9 - 42x8 - 53x7 + 126x6 - 112x5 + 7x4 + 63x3 - 49x2 + 14x - 1 \( -\,2^{18}\cdot 7^{23} \) 21T4 Trivial (GRH)
21.3.9284127557257563917891699.1 x21 - 5x20 + 11x19 - 13x18 + 7x17 + 4x16 - 16x15 + 13x14 - 6x13 + 2x12 - 2x11 + 21x10 - 28x8 + 29x7 - 16x6 - 18x5 + 17x4 - 9x3 - 2x2 + 3x - 1 \( -\,11^{9}\cdot 13^{14} \) 21T4 Trivial (GRH)
21.3.10904210824444953500612167.1 x21 + x19 - 2x18 - 2x17 - 3x16 - x15 + 4x14 + 15x13 + 3x12 - 4x11 - 29x10 - 4x9 + 12x8 + 23x7 + 16x6 - 4x5 - 7x4 - 8x3 - x2 + 1 \( -\,31^{8}\cdot 67^{3}\cdot 349^{3} \) 21T74 Trivial (GRH)
21.5.16253945603436050603615041.1 x21 - x20 - 6x19 + 8x18 + 15x17 - 28x16 - 39x15 + 74x14 + 112x13 - 127x12 - 227x11 + 89x10 + 306x9 + x8 - 244x7 - 55x6 + 122x5 + 40x4 - 41x3 - 6x2 + 8x - 1 \( 13^{8}\cdot 109^{8} \) 21T14 Trivial (GRH)
21.1.21420980525151261442929721.1 x21 - x20 - x19 + 2x18 + 2x17 + x16 - 5x15 - x14 + 13x13 + 9x12 - 7x11 - 16x10 - x9 + 21x8 + 17x7 - 3x6 - 11x5 - 3x4 + 4x3 + 3x2 - 1 \( 23^{7}\cdot 184607^{3} \) 21T74 Trivial (GRH)
21.1.23714597990105054274863104.1 x21 + x19 - 5x18 + 8x17 - 5x16 + 11x15 - 40x14 + 33x13 + 2x12 + 62x11 - 87x10 - 12x9 - 43x8 + 76x7 + 27x6 - 15x5 - 7x4 - 10x3 + 2x2 + x + 1 \( 2^{14}\cdot 11^{8}\cdot 41^{3}\cdot 461^{3} \) 21T74 Trivial (GRH)
21.5.26730926988131422081122304.1 x21 - 5x20 + 11x19 - 16x18 + 25x17 - 38x16 + 36x15 - 25x14 + 18x13 - 4x12 - 3x11 - 17x10 - 23x9 - 12x8 + 55x7 + 18x6 - 46x5 - 17x4 + 19x3 + 9x2 - 2x - 1 \( 2^{18}\cdot 317^{8} \) 21T14 Trivial (GRH)
21.3.65701728236743660173798567.1 x21 - 4x20 + 12x19 - 22x18 + 41x17 - 54x16 + 79x15 - 60x14 + 57x13 + 46x12 - 70x11 + 222x10 - 182x9 + 306x8 - 168x7 + 207x6 - 48x5 + 42x4 + 5x3 - 17x2 - 15x - 1 \( -\,3^{24}\cdot 7^{17} \) 21T9 Trivial (GRH)
21.1.75911839528959490356446229.1 x21 - x18 - 3x15 + 2x12 + 4x9 - x6 - 2x3 - 1 \( 3^{21}\cdot 193607^{3} \) 21T138 Trivial (GRH)
21.5.85594961606810871789418849.1 x21 - 4x19 + 23x17 - 4x16 - 54x15 + 19x14 + 94x13 - 41x12 - 115x11 + 59x10 + 30x9 - 81x8 + 20x7 + 46x6 - 18x5 - 5x4 + 13x3 - 3x2 + 1 \( 23^{8}\cdot 239^{3}\cdot 431^{3} \) 21T74 Trivial (GRH)
21.3.108608979330127274981177223.1 x21 - 9x14 - 12x7 + 1 \( -\,3^{28}\cdot 7^{15} \) 21T9 Trivial (GRH)
21.1.156106141952973043121291857.1 x21 - x20 - x19 + 2x18 + 5x17 + 2x16 - 10x15 - 2x14 + 23x13 + 19x12 - 11x11 - 28x10 + 8x9 + 47x8 + 23x7 - 13x6 - 24x5 - 7x4 + 11x3 + 6x2 - 1 \( 23^{7}\cdot 71^{9} \) 21T8 Trivial (GRH)
21.3.167297208611536987435565056.1 x21 - 7x20 + 23x19 - 46x18 + 59x17 - 38x16 - 51x15 + 276x14 - 725x13 + 1392x12 - 2056x11 + 2397x10 - 2311x9 + 1987x8 - 1615x7 + 1208x6 - 783x5 + 436x4 - 201x3 + 66x2 - 12x + 1 \( -\,2^{18}\cdot 17^{6}\cdot 31^{9} \) 21T57 Trivial (GRH)
21.3.188012010050973537326115059.1 x21 - 3x20 + 2x19 - 4x18 + 10x17 - 9x16 + 70x15 - 167x14 + 91x13 + 110x12 - 252x11 + 50x10 + 456x9 - 519x8 + x7 + 487x6 - 548x5 + 272x4 - 48x3 + x2 - 3x + 1 \( -\,59^{8}\cdot 10859^{3} \) 21T74 Trivial (GRH)
21.3.214407920026380373514939807.1 x21 - x20 - x19 + x18 - x17 + 6x16 - 7x15 + 2x14 - 4x13 + 5x12 + 9x11 - 17x10 + 11x9 - 4x8 - 3x7 + 9x6 - 6x5 - x4 + 3x3 - x2 - x + 1 \( -\,184607^{5} \) 21T38 Trivial (GRH)
21.3.270061427296836406180775407.1 x21 - 4x18 - x17 + x16 + 7x15 + x14 - 6x13 - 11x12 + 2x11 + 10x10 + 14x9 - 2x8 - 5x7 - 6x6 + 2x5 - 2x4 - 3x3 + 2x2 - 1 \( -\,193327^{5} \) 21T38 Trivial (GRH)

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