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Martin Sleziak
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An example (this is exercise 21exercise 21 in Chapter 2.2 of Borevich and Shafarevich) is given by the three cubic fields obtained by adjoining a root of x^3-18x-6$x^3-18x-6$, x^3-36x-78$x^3-36x-78$ and x^3-54x-150$x^3-54x-150$. The resulting fields are non-isomorphic cubics with class number one and discriminant 22356$22356$.

An example (this is exercise 21 in Chapter 2.2 of Borevich and Shafarevich) is given by the three cubic fields obtained by adjoining a root of x^3-18x-6, x^3-36x-78 and x^3-54x-150. The resulting fields are non-isomorphic cubics with class number one and discriminant 22356.

An example (this is exercise 21 in Chapter 2.2 of Borevich and Shafarevich) is given by the three cubic fields obtained by adjoining a root of $x^3-18x-6$, $x^3-36x-78$ and $x^3-54x-150$. The resulting fields are non-isomorphic cubics with class number one and discriminant $22356$.

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user1073
user1073

An example (this is exercise 21 in Chapter 2.2 of Borevich and Shafarevich) is given by the three cubic fields obtained by adjoining a root of x^3-18x-6, x^3-36x-78 and x^3-54x-150. The resulting fields are non-isomorphic cubics with class number one and discriminant 22356.