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             SALEM, DEGREE 8


		Picard group 
Glue group {11, 23, 23}, Signature {11, 1}, lambda 1.28064, Positive (4)
                   3               3    4    5    8
Char poly  (-1 + x)  (1 + x) (1 - x  - x  - x  + x )
Localization at 11: 10 + x
Localization at 23: (17 + x) (19 + x)

		Transcendental cycles
Glue group {11, 23, 23}, Signature {8, 2}, lambda = 1.
                    2    3    4    5    6    7    8    9    10
Char poly  1 + x + x  + x  + x  + x  + x  + x  + x  + x  + x    Period 11
Localization at 11: 10 + x
Localization at 23: (17 + x) (19 + x)
Rotation of T(X): 2/11

		Periodic factor of Pic
Glue group {3, 11}, Signature {4, 0}, Minimum 2, Positive (6)
                   3
Char poly  (-1 + x)  (1 + x)  Period 2
Localization at 3: 1 + x
Localization at 11: 10 + x

		Salem factor of Pic
Glue group {3, 23, 23}, Signature {7, 1}, lambda 1.28064, Positive (4)
                3    4    5    8
Char poly  1 - x  - x  - x  + x
Localization at 3: 1 + x
Localization at 23: (17 + x) (19 + x)

		Field Information
A/Z[x], h(K), B/Z[y], h(k), Ramif: {1, 1, 1, 1, -3}
                             2      3           2    3
Twisted by x (1 + x) (6 x + x  - 2 x ) (-2 x - x  + x )
Prime 23^1  <-  (13 + x), splits in K
Passed search:  No obstructing roots found

		Primes and Twists

Feasible Primes: {3, 7, 19, 23, 31, 43}
                     2    3
Prime 3^3  <-  (2 + x  + x ), inert in K
Prime 3^1  <-  (2 + x), splits in K
                             2    3
Prime 7^3  <-  (5 + 5 x + 4 x  + x ), inert in K
Prime 7^1  <-  (3 + x), inert in K
                            2
Prime 19^2  <-  (9 + 7 x + x ), splits in K
Prime 19^1  <-  (6 + x), inert in K
                                2    3
Prime 23^3  <-  (16 + 4 x + 10 x  + x ), inert in K
Prime 23^1  <-  (13 + x), splits in K
                            2    3
Prime 31^3  <-  (5 + x + 6 x  + x ), splits in K
Prime 31^1  <-  (25 + x), splits in K
                              2
Prime 43^2  <-  (30 + 14 x + x ), inert in K
Prime 43^1  <-  (32 + x), splits in K
Prime 43^1  <-  (40 + x), inert in K
Twists found: 15
Ideal 3          Periods {2, 28}        Min 4  
Obstruction found after 130 trials
Ideal 3          Periods {2, 6}         Min 2  OBSTRUCTED
Obstruction found after 97 trials
Ideal 7          Periods {2, 8}         Min 2  OBSTRUCTED
Ideal 19         Periods {2, 20}        Min 4  
Ideal 23         Periods {2, 11}        Min 4  
Ideal 31         Periods {2, 15}        Min 4  
Ideal 43         Periods {2, 21}        Min 4  
Ideal 7 31       Periods {2, 8, 15}     Min 6  
Ideal 7 19       Periods {2, 8, 20}     Min 6  
Ideal 3 7        Periods {2, 6, 8}      Min 4  
Ideal 3 31       Periods {2, 6, 15}     Min 4  
Ideal 3 19       Periods {2, 6, 20}     Min 4  
Ideal 3^2        Periods {2, 6, 18}     Min 4  
Ideal 3 23       Periods {2, 6, 11}     Min 4  
Ideal 3^2 7      Periods {2, 6, 8, 18}  Min 4  

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