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Results (displaying all 9 matches)

Label Polynomial Discriminant Galois group Class group
19.1.75613185918270483380568064.1 x19 - 2x18 + 8x17 - 12x16 + 43x15 - 74x14 + 108x13 - 18x12 - 25x11 + 338x9 - 70x8 - 264x7 - 128x6 + 120x5 + 98x4 + 43x3 - 22x2 - 31x - 8 \( -\,2^{18}\cdot 19^{16} \) $F_{19}$ (as 19T6) Trivial
19.1.518630842213417245507316350976.1 x19 - 2 \( -\,2^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.1.3864100889961549978757771484375.1 x19 + 19x17 + 152x15 + 665x13 + 1729x11 + 2717x9 + 2508x7 + 1254x5 + 285x3 + 19x - 1 \( -\,5^{9}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.1.766480310443130308591757025805731.1 x19 - 3 \( -\,3^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.1.7547072050706152302261272430419921875.1 x19 - 5 \( -\,5^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.1.200928214500803951615477553772817547264.1 x19 - 6 \( -\,2^{18}\cdot 3^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.1.3221685469650562858889635569246800556571.1 x19 - 7 \( -\,7^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.19.102875245824411623227124507531682584199168.1 x19 - 57x17 + 1368x15 - 17955x13 + 140049x11 - 660231x9 + 1828332x7 - 2742498x5 + 1869885x3 - 373977x - 67446 \( 2^{27}\cdot 3^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)
19.19.1978419655660313589123979000000000000000000.1 x19 - 95x17 + 3800x15 - 83125x13 + 1080625x11 - 8490625x9 + 39187500x7 - 97968750x5 + 111328125x3 - 37109375x - 8731210 \( 2^{18}\cdot 5^{18}\cdot 19^{19} \) $F_{19}$ (as 19T6) Trivial (GRH)


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