Learn more about

Further refine search

Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
18.0.40330650199291342848.1 x18 - x17 + x16 + 6x15 - 6x14 + 5x13 + 14x12 - 18x11 + 14x10 + 13x9 - 27x8 + 21x7 - 3x6 - 13x5 + 23x4 - 18x3 + 10x2 - 4x + 1 \( -\,2^{12}\cdot 3^{9}\cdot 29^{8} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.0.42845606719488000000.1 x18 - 9x17 + 45x16 - 154x15 + 399x14 - 822x13 + 1393x12 - 1974x11 + 2358x10 - 2374x9 + 2019x8 - 1455x7 + 896x6 - 471x5 + 210x4 - 78x3 + 24x2 - 6x + 1 \( -\,2^{18}\cdot 3^{21}\cdot 5^{6} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.2.43318105769609220096.1 x18 - x15 - 8x12 + 17x9 - 8x6 - x3 + 1 \( 2^{12}\cdot 3^{6}\cdot 29^{9} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.2.1667379040712000000000.1 x18 - 2x17 + 2x16 - 4x13 + 3x12 - 2x11 + 2x10 + 6x8 - 10x7 + 7x6 - 12x5 + 8x4 - 8x3 + 6x2 - 2x + 1 \( 2^{12}\cdot 5^{9}\cdot 7^{6}\cdot 11^{6} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.0.76258165114191147433984.1 x18 - 20x14 + 39x12 + 40x10 - 112x8 + 55x6 + 12x4 - 8x2 + 1 \( -\,2^{24}\cdot 11^{6}\cdot 37^{6} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.0.261508830075000000000000.1 x18 - 3x17 + 6x16 + 11x15 - 39x14 + 69x13 + 13x12 - 114x11 + 225x10 - 219x9 + 174x8 - 72x7 - 24x6 + 45x5 + 36x4 + 18x3 - 9x2 + 9 \( -\,2^{12}\cdot 3^{21}\cdot 5^{14} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.6.435848050125000000000000.1 x18 - 3x17 - 11x15 + 45x14 + 12x13 - 111x12 + 30x11 + 48x10 - 60x9 + 195x8 + 105x7 - 285x6 - 90x5 + 165x4 + 29x3 - 42x2 + 1 \( 2^{12}\cdot 3^{20}\cdot 5^{15} \) $C_2\times S_3^2$ (as 18T29) Trivial (GRH)
18.6.439842970125000000000000.1 x18 - 12x15 - 135x12 - 160x9 - 5x6 + 28x3 - 1 \( 2^{12}\cdot 3^{6}\cdot 5^{15}\cdot 13^{6} \) $C_2\times S_3^2$ (as 18T29) Trivial
18.0.2229711801263882544951963648.1 x18 - 2x17 + 14x16 - 22x15 - 20x14 - 4x13 - 87x12 + 434x11 + 874x10 - 276x9 - 314x8 + 182x7 - 689x6 + 972x4 - 342x3 - 198x2 + 54x + 27 \( -\,2^{12}\cdot 3^{9}\cdot 37^{6}\cdot 47^{6} \) $C_2\times S_3^2$ (as 18T29) $[7]$
18.0.4550407743451632500736000000.1 x18 + 23x16 + 211x14 + 993x12 + 2580x10 + 3720x8 + 2816x6 + 968x4 + 116x2 + 4 \( -\,2^{24}\cdot 3^{6}\cdot 5^{6}\cdot 47^{8} \) $C_2\times S_3^2$ (as 18T29) $[3]$ (GRH)
18.18.44452341393601500274658203125.1 x18 - 6x17 - 15x16 + 147x15 - 55x14 - 1146x13 + 1591x12 + 3345x11 - 7872x10 - 1610x9 + 14585x8 - 7315x7 - 9200x6 + 9975x5 - 780x4 - 2868x3 + 1488x2 - 285x + 19 \( 3^{6}\cdot 5^{15}\cdot 7^{6}\cdot 19^{8} \) $C_2\times S_3^2$ (as 18T29) Trivial (GRH)
18.18.7554510350456935214481408000000.1 x18 - 36x16 - 6x15 + 432x14 + 126x13 - 2229x12 - 864x11 + 5364x10 + 1852x9 - 6642x8 - 1260x7 + 4335x6 - 108x5 - 1260x4 + 294x3 + 54x2 - 18x + 1 \( 2^{30}\cdot 3^{37}\cdot 5^{6} \) $C_2\times S_3^2$ (as 18T29) Trivial (GRH)



Download all search results for