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             SALEM 12




             Strategies


		Salem number 1.2407264236525413921 of degree 12

A/Z[x], h(K), B/Z[y], h(k), Ramif: {1, 1, 1, 1, -7}

		Primes and Twists

Feasible Primes: {7, 13, 31}
                           2    3
Prime 7^3  <-  (2 + x + 6 x  + x ), splits in K
                           2
Prime 7^2  <-  (5 + 5 x + x ), splits in K
Prime 7^1  <-  (2 + x), splits in K
                               2      3      4    5
Prime 13^5  <-  (10 + 3 x + 6 x  + 7 x  + 3 x  + x ), inert in K
Prime 13^1  <-  (9 + x), splits in K
                                2       3    4
Prime 31^4  <-  (3 + 20 x + 15 x  + 25 x  + x ), splits in K
Prime 31^1  <-  (16 + x), splits in K
Prime 31^1  <-  (20 + x), inert in K
All twists:  those with dim'n small enough: 7
All twists:  those with period small enough: 3
All twists:  those with right signature: 3
Twists found: 3
Ideal 7          Periods {2, 14}        Min 4  
Ideal 13         Periods {2, 12}        Min 4  
Ideal 31         Periods {2, 30}        Min 4  

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