Magma V2.20-10    Thu Nov 13 2014 13:22:16 on mathcompprd01 [Seed = 756617464]
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Loading "code.m"
Loading "sign.m"
> 
> n := 12;
> 
> p := 3;
> G := eval Read ("plus-cover-s12-3");
> f := ProcessReps ([G], n);
Consider the following repn 1
Input degree =  32  Defining field size =  3
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
Composition Factors of G is 
    G
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  28
Over refined degree limit -- so G has regular orbit
========================================
> 
> p := 5;
> G := eval Read ("plus-cover-s12-5");
> H := SecondCover (G);
    G
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
> L := [G, H];
> f := ProcessReps (L, n);
Consider the following repn 1
Input degree =  32  Defining field size =  5
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4 ]
Composition Factors of G is 
    G
    |  Cyclic(2)
    *
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  24
Over refined degree limit -- so G has regular orbit
========================================
Consider the following repn 2
Input degree =  32  Defining field size =  5
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4 ]
Composition Factors of G is 
    G
    |  Cyclic(2)
    *
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  24
Over refined degree limit -- so G has regular orbit
========================================
> 
> p := 7;
> G := eval Read ("plus-cover-s12-7");
> H := SecondCover (G);
    G
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
> L := [G, H];
> f := ProcessReps (L, n);
Consider the following repn 1
Input degree =  32  Defining field size =  7
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6 ]
Composition Factors of G is 
    G
    |  Cyclic(3)
    *
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  23
Over refined degree limit -- so G has regular orbit
========================================
Consider the following repn 2
Input degree =  32  Defining field size =  7
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6 ]
Composition Factors of G is 
    G
    |  Cyclic(3)
    *
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  23
Over refined degree limit -- so G has regular orbit
========================================
> 
> p := 11;
> G := eval Read ("plus-cover-s12-11");
> H := SecondCover (G);
    G
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
> L := [G, H];
> f := ProcessReps (L, n);
Consider the following repn 1
Input degree =  32  Defining field size =  11
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10 ]
Composition Factors of G is 
    G
    |  Cyclic(5)
    *
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  22
Over refined degree limit -- so G has regular orbit
========================================
Consider the following repn 2
Input degree =  32  Defining field size =  11
Order of generators  [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10 ]
Composition Factors of G is 
    G
    |  Cyclic(5)
    *
    |  Cyclic(2)
    *
    |  Alternating(12)
    *
    |  Cyclic(2)
    1
#Warning: we will need to find a perm rep of the radical quotient!
#Found perm rep of the radical quotient!
Refined bound on degree is  22
Over refined degree limit -- so G has regular orbit
========================================
> 
> 

Total time: 331.699 seconds, Total memory usage: 96.16MB