Let k = Q(97) (a) Write down the following: An integral basis in k, The discriminant...

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Let k = Q(97) (a) Write down the following: An integral basis in k, The discriminant of an integral basis of k, The Minkowski bound of k. (b) List all the ideals of Ok with norm less than the Minkowski bound. (c) Calculate the class group of k, giving a representative for each ideal class, and a multiplication table for the group. Let k = Q(97) (a) Write down the following: An integral basis in k, The discriminant of an integral basis of k, The Minkowski bound of k. (b) List all the ideals of Ok with norm less than the Minkowski bound. (c) Calculate the class group of k, giving a representative for each ideal class, and a multiplication table for the group.