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Results (displaying matches 1-50 of 1163703) Next

Label Polynomial Discriminant Galois group Class group
7.1.184607.1 x7 - x6 - x5 + x4 - x2 + x + 1 \( -\,184607 \) $S_7$ Trivial
7.1.193327.1 x7 - x6 + 2x4 - 2x3 + 2x - 1 \( -\,193327 \) $S_7$ Trivial
7.1.193607.1 x7 - x4 - x3 + x2 + 1 \( -\,193607 \) $S_7$ Trivial
7.1.196127.1 x7 - 2x6 + 2x5 - x4 + 2x2 - 2x + 1 \( -\,29\cdot 6763 \) $S_7$ Trivial
7.1.199559.1 x7 - x6 + x3 - x + 1 \( -\,199559 \) $S_7$ Trivial
7.1.201671.1 x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 + 2x - 1 \( -\,17\cdot 11863 \) $S_7$ Trivial
7.1.202471.1 x7 - x6 - x5 + 2x4 - x2 + 1 \( -\,202471 \) $S_7$ Trivial
7.1.207911.1 x7 - x5 - x4 - x3 + x2 + x + 1 \( -\,11\cdot 41\cdot 461 \) $S_7$ Trivial
7.1.211831.1 x7 - x6 + 2x5 - x4 + x2 - 2x + 1 \( -\,19\cdot 11149 \) $S_7$ Trivial
7.1.214607.1 x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 - 1 \( -\,214607 \) $S_7$ Trivial
7.1.224647.1 x7 - 2x5 - x4 + 2x3 + 2x2 - 1 \( -\,277\cdot 811 \) $S_7$ Trivial
7.1.227287.1 x7 - 2x6 + 3x5 - 3x4 + 3x3 - 2x2 + 2x - 1 \( -\,167\cdot 1361 \) $S_7$ Trivial
7.1.237751.1 x7 - x6 + x5 - x4 + x3 + x2 - 2x + 1 \( -\,23\cdot 10337 \) $S_7$ Trivial
7.1.242147.1 x7 - 2x6 + 2x5 - x4 - x3 + 2x2 - x + 1 \( -\,242147 \) $S_7$ Trivial
7.1.242971.1 x7 - x6 - x5 + 2x4 - 2x2 + x + 1 \( -\,242971 \) $S_7$ Trivial
7.1.250367.1 x7 - 2x6 + 4x5 - 4x4 + 3x3 - x2 - x + 1 \( -\,13\cdot 19259 \) $S_7$ Trivial
7.1.252071.1 x7 - x6 + 2x4 - x3 - 2x2 + x + 1 \( -\,83\cdot 3037 \) $S_7$ Trivial
7.1.261871.1 x7 - x6 - x5 + 2x4 - x3 - x2 + x - 1 \( -\,307\cdot 853 \) $S_7$ Trivial
7.1.267347.1 x7 - x4 - 2x3 + x2 + x - 1 \( -\,101\cdot 2647 \) $S_7$ Trivial
7.1.270607.1 x7 - x6 + x5 - 3x4 + 2x3 - 2x2 + 2x - 1 \( -\,461\cdot 587 \) $S_7$ Trivial
7.1.272671.1 x7 - 2x6 + 3x5 - 4x4 + 4x3 - 3x2 + x - 1 \( -\,7\cdot 38953 \) $S_7$ Trivial
7.1.283223.1 x7 + x3 - 2x - 1 \( -\,61\cdot 4643 \) $S_7$ Trivial
7.1.286711.1 x7 - x5 - 2x4 + x3 + 2x2 - x - 1 \( -\,286711 \) $S_7$ Trivial
7.1.289831.1 x7 + x5 - x4 + x3 - x2 + x - 1 \( -\,109\cdot 2659 \) $S_7$ Trivial
7.1.289987.1 x7 - x6 + 2x5 - 2x4 + 2x3 - x2 + x - 1 \( -\,289987 \) $S_7$ Trivial
7.1.300527.1 x7 - 2x6 + 2x5 - 2x3 + 4x2 - 3x + 1 \( -\,29\cdot 43\cdot 241 \) $S_7$ Trivial
7.1.311071.1 x7 - x6 + 3x5 - 3x4 + 4x3 - 4x2 + 2x - 1 \( -\,277\cdot 1123 \) $S_7$ Trivial
7.1.315631.1 x7 - x5 - 2x4 + x2 + x + 1 \( -\,315631 \) $S_7$ Trivial
7.1.317159.1 x7 - 3x6 + 4x5 - 4x4 + 4x3 - 4x2 + 2x - 1 \( -\,317159 \) $S_7$ Trivial
7.1.319831.1 x7 - x6 + 2x4 - 3x3 + 4x2 - 3x + 1 \( -\,319831 \) $S_7$ Trivial
7.1.320975.1 x7 - x6 + x5 - x4 + 2x2 - 2x + 1 \( -\,5^{2}\cdot 37\cdot 347 \) $S_7$ Trivial
7.1.330487.1 x7 + x5 - x3 - x - 1 \( -\,23\cdot 14369 \) $S_7$ Trivial
7.1.332447.1 x7 - x5 - x4 + x3 + x2 - x - 1 \( -\,332447 \) $S_7$ Trivial
7.1.334727.1 x7 - x5 - 2x4 - x3 + 2x2 + x + 1 \( -\,334727 \) $S_7$ Trivial
7.1.338191.1 x7 - x4 - 2x3 + 2x + 1 \( -\,7\cdot 48313 \) $S_7$ Trivial
7.1.349847.1 x7 - x6 + x5 - x4 + x2 - x + 1 \( -\,19\cdot 18413 \) $S_7$ Trivial
7.1.351587.1 x7 - 2x5 - 2x4 + 2x3 + 3x2 - 1 \( -\,351587 \) $S_7$ Trivial
7.1.351655.1 x7 - x6 - 2x4 + x3 + x + 1 \( -\,5\cdot 53\cdot 1327 \) $S_7$ Trivial
7.1.357911.1 x7 - x6 - x5 + x4 - x3 - x2 + 2x + 1 \( -\,71^{3} \) $D_7$ Trivial
7.1.364871.1 x7 - x6 + 2x4 + 2x + 1 \( -\,13^{2}\cdot 17\cdot 127 \) $S_7$ Trivial
7.1.371131.1 x7 - x4 - 2x2 - x - 1 \( -\,371131 \) $S_7$ Trivial
7.1.373607.1 x7 - x6 + x5 - 2x3 + 3x2 - 2x + 1 \( -\,13\cdot 29\cdot 991 \) $S_7$ Trivial
7.1.376163.1 x7 - x6 - x4 - x3 + x2 + x + 1 \( -\,389\cdot 967 \) $S_7$ Trivial
7.1.380831.1 x7 - x5 - x4 - x3 + 2x + 1 \( -\,11\cdot 89\cdot 389 \) $S_7$ Trivial
7.1.382631.1 x7 - x5 + x3 - x - 1 \( -\,382631 \) $S_7$ Trivial
7.1.383687.1 x7 - x6 + 2x5 - 2x4 + x3 - x + 1 \( -\,31\cdot 12377 \) $S_7$ Trivial
7.1.396259.1 x7 - x4 - x3 + x + 1 \( -\,396259 \) $S_7$ Trivial
7.1.397703.1 x7 + x5 + x3 - 2x2 + x - 1 \( -\,499\cdot 797 \) $S_7$ Trivial
7.1.397991.1 x7 - 2x5 + 3x3 - x2 - x + 1 \( -\,11\cdot 97\cdot 373 \) $S_7$ Trivial
7.1.402011.1 x7 - x6 + 2x5 - 4x4 + 3x3 - 3x2 + 2x - 1 \( -\,73\cdot 5507 \) $S_7$ Trivial

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