### This work done by Omar A. AbuGhneim from Jordan University (Email: o_abughneim@yahoo.com).
    
    
# There are 267 groups of order 64. Among them, there are 259 groups that 
# admit (64,28,12) difference sets. The other 8 groups do not have any 
# (64,28,12) difference sets. We wrote programs using the software GAP 
# to construct all (64,28,12) difference sets in the 259 groups of order 
# 64 that admit (64,28,12) difference sets.
    
    
    
# We refer to the groups as they appear in the SmallGroups library of 
# the software package GAP. For instance, when we work in groups of 
# order 64 and write [64,14] we mean group number 14 of order 64 in the 
# GAP library. 
# The 8 groups that do not admit (64,28,12) difference sets are 
# [64, 1], [64, 38], [64, 47], [64, 50], [64, 52], [64, 53], [64, 54], 
# and [64, 186]. Indeed, these groups are the ones that have either 
# the cyclic group of order 32 as a factor group or have the dihedral 
# group of order 32 as a factor group. 
    
    
# Also, we find all  (64,28,12)  difference sets that are reversible 
# i.e. all  (64,28,12) difference sets D with D=D^(-1). There are 184 
# groups of order 64 that have reversible (64,28,12) difference sets. 
# These groups are [64,i] where i in {2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 
# 15, 16, 18, 20, 22, 23, 24, 25, 28, 30, 31, 32, 33, 34, 35, 36, 37, 40, 
# 41, 42, 43, 45, 46, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 
# 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 87, 
# 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 104, 105, 106, 
# 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123, 126, 
# 127, 128, 129, 130, 131, 133, 134, 135, 138, 140, 141, 142, 144, 145, 146, 
# 147, 149, 150, 151, 152, 153, 155, 156, 157, 159, 160, 161, 162, 163, 164, 
# 166, 167, 169, 170, 172, 173, 174, 177, 178, 179, 182, 184, 187, 190, 192, 
# 193, 194, 195, 196, 197, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 
# 210, 211, 213, 214, 215, 216, 219, 221, 222, 226, 227, 231, 232, 234, 236, 
# 240, 241, 242, 245, 247, 249, 250, 251, 254, 260, 261, 263, 267  }. 
    
    
# We used the software GAP to find all (64,28,12)  difference sets and 
# reversible (64,28,12) difference sets.   
    
    
# In this file we list all inequivalent (64,28,12) difference sets 
# in group [64,106]. Also, we determine the nonisomorphic 
# symmetric (64,28,12) designs that rise from these DSs.
# Finally, We list all inequivalent reversible (64,28,12) difference 
# sets in group [64,106].
    
    
# To determine the nonisomorphic symmetric (64,28,12) designs, we used 
# the DESIGN package for GAP, Version 1.6, 2011, by L.H. Soicher, 
# http://designtheory.org/software/gap design/. 
    
    
# Note: The GAP command 'e:=Elements(SmallGroup(64,106));' can be 
# used to create a list e of the elements of the group [64,106].
# In our list of (64,28,12) DSs in group [64,106], we have [1, 
# 2, 3, 4, 5, 6, 8, 12, 13, 14, 18, 20, 23, 24, 26, 
# 30, 38, 40, 44, 45, 47, 52, 53, 54, 55, 56, 57, 60].
# This list denotes the elements [ e[1], e[2], e[3], 
# e[4], e[5], e[6], e[8], e[12], e[13], e[14], e[18], e[20], e[23], e[24], e[26], e[30], 
# e[38], e[40], e[44], e[45], e[47], e[52], e[53], e[54], e[55], e[56], e[57], e[60]]
# where e is the list of the elements of the group [64,106] as they 
# appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,106));'
    
    
###########################  
###########################  
###########################  
  
### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs
### that rise from these DSs in group [64, 106]
  
  
  
### The number of inequivalent (64,28,12) DSs in group [64,106] is 442
### The list of all inequivalent (64,28,12) DSs in group [64,106] is 
  
  
DS106:=[ [ 1, 2, 3, 4, 5, 6, 8, 12, 13, 14, 18, 20, 23, 24, 26, 30, 38, 40, 44, 45, 47, 52, 53, 54, 55, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 18, 20, 23, 24, 26, 32, 38, 40, 45, 47, 53, 54, 55, 56, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 18, 20, 23, 24, 26, 32, 35, 38, 40, 43, 47, 53, 56, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 16, 19, 20, 23, 24, 32, 33, 37, 39, 43, 44, 48, 55, 57, 58, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 16, 19, 20, 23, 24, 25, 32, 33, 37, 39, 43, 46, 55, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 16, 18, 20, 23, 24, 32, 33, 37, 40, 45, 48, 55, 57, 58, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 16, 17, 19, 21, 23, 24, 32, 39, 43, 44, 48, 53, 55, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 16, 17, 19, 21, 23, 24, 25, 32, 39, 43, 46, 53, 55, 56, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 14, 18, 20, 23, 25, 26, 31, 38, 40, 45, 48, 53, 54, 55, 56, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 19, 20, 24, 25, 32, 34, 35, 36, 37, 38, 39, 44, 46, 51, 56, 57, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 19, 20, 23, 24, 25, 32, 34, 35, 36, 37, 38, 39, 43, 45, 46, 51, 56, 57, 59 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 17, 19, 20, 24, 25, 32, 34, 35, 36, 37, 38, 40, 43, 44, 46, 51, 56, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 17, 19, 20, 23, 24, 25, 32, 34, 35, 36, 37, 38, 40, 45, 46, 51, 56, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16, 19, 20, 23, 24, 25, 32, 38, 39, 43, 45, 46, 51, 53, 54, 56, 57, 59 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16, 18, 20, 24, 26, 32, 38, 40, 43, 44, 47, 51, 53, 54, 56, 57, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16, 18, 20, 23, 24, 26, 32, 38, 40, 45, 47, 51, 53, 54, 56, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16, 17, 19, 20, 23, 24, 25, 32, 38, 40, 45, 46, 51, 53, 54, 56, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 13, 14, 16, 18, 20, 24, 26, 32, 35, 40, 44, 46, 47, 51, 53, 54, 56, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 13, 14, 16, 18, 20, 24, 25, 26, 32, 35, 40, 47, 48, 51, 53, 54, 56, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 18, 20, 24, 25, 26, 29, 38, 40, 47, 48, 53, 54, 55, 56, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 18, 24, 26, 29, 32, 33, 37, 38, 39, 40, 42, 47, 49, 53, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 18, 24, 26, 29, 32, 36, 38, 39, 40, 42, 47, 49, 54, 55, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 18, 20, 24, 26, 29, 32, 38, 40, 47, 49, 53, 54, 55, 56, 57, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16, 18, 20, 29, 32, 33, 37, 40, 46, 47, 48, 49, 55, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16, 18, 20, 24, 29, 32, 33, 37, 40, 48, 49, 55, 57, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 19, 21, 23, 26, 30, 31, 32, 34, 35, 38, 40, 44, 47, 51, 52, 57, 58, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 19, 21, 23, 25, 30, 31, 32, 34, 35, 38, 40, 45, 46, 51, 52, 57, 59, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 19, 21, 23, 24, 26, 30, 31, 32, 34, 35, 38, 40, 44, 46, 51, 52, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 19, 20, 23, 24, 26, 30, 31, 32, 34, 35, 38, 39, 44, 47, 51, 52, 57, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 19, 20, 23, 24, 26, 30, 31, 32, 34, 35, 38, 39, 43, 44, 47, 51, 52, 57, 58 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 19, 20, 23, 24, 25, 30, 31, 32, 34, 35, 38, 39, 43, 45, 46, 51, 52, 57, 59 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 21, 25, 30, 31, 32, 34, 35, 38, 39, 45, 46, 51, 52, 57, 58, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 21, 24, 25, 30, 31, 32, 34, 35, 38, 39, 43, 45, 47, 51, 52, 57, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 21, 23, 26, 30, 31, 32, 34, 35, 38, 39, 43, 45, 47, 51, 52, 57, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 21, 23, 24, 26, 30, 31, 32, 34, 35, 38, 39, 45, 46, 51, 52, 57, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 20, 24, 26, 30, 31, 32, 34, 35, 38, 40, 43, 44, 47, 51, 52, 57, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 20, 23, 24, 26, 30, 31, 32, 34, 35, 38, 40, 45, 47, 51, 52, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 20, 21, 24, 26, 30, 32, 34, 35, 38, 42, 43, 44, 47, 50, 51, 59, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 18, 20, 21, 23, 24, 26, 30, 32, 34, 35, 38, 42, 45, 47, 50, 51, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 19, 21, 23, 25, 30, 31, 32, 34, 35, 38, 39, 45, 46, 51, 52, 59, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 19, 21, 23, 25, 30, 31, 32, 34, 35, 38, 39, 43, 45, 46, 51, 52, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 19, 21, 23, 24, 26, 30, 31, 32, 34, 35, 38, 39, 44, 46, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 19, 20, 23, 26, 30, 31, 32, 34, 35, 38, 40, 43, 44, 46, 51, 52, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 19, 20, 23, 25, 30, 31, 32, 34, 35, 38, 40, 45, 47, 51, 52, 58, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 19, 20, 23, 24, 25, 30, 31, 32, 34, 35, 38, 40, 45, 46, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 18, 21, 24, 26, 30, 31, 32, 34, 35, 38, 40, 44, 46, 51, 52, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 17, 18, 21, 24, 25, 30, 31, 32, 34, 35, 38, 40, 45, 47, 51, 52, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 20, 24, 25, 27, 29, 32, 33, 36, 39, 40, 41, 46, 50, 52, 53, 54, 56, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 18, 20, 23, 24, 26, 32, 36, 40, 44, 45, 47, 49, 50, 51, 52, 56, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 18, 19, 20, 23, 24, 26, 32, 36, 41, 43, 44, 47, 49, 50, 51, 52, 56, 58 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 18, 19, 20, 23, 24, 25, 32, 36, 41, 43, 45, 46, 49, 50, 51, 52, 56, 59 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 17, 20, 24, 25, 27, 29, 32, 33, 36, 41, 46, 50, 52, 53, 54, 56, 57, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 17, 19, 20, 24, 25, 32, 33, 36, 40, 46, 49, 50, 51, 52, 53, 54, 56, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 17, 19, 20, 23, 25, 26, 32, 36, 40, 43, 44, 48, 49, 50, 51, 52, 56, 58 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 16, 17, 19, 20, 23, 24, 25, 32, 36, 40, 44, 45, 46, 49, 50, 51, 52, 56, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 18, 20, 21, 24, 26, 32, 35, 42, 43, 44, 47, 49, 50, 51, 52, 55, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 18, 20, 21, 23, 24, 26, 32, 35, 42, 45, 47, 49, 50, 51, 52, 55, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 17, 18, 21, 24, 26, 32, 35, 40, 44, 46, 47, 49, 50, 51, 52, 55, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 17, 18, 21, 24, 25, 26, 32, 35, 40, 47, 48, 49, 50, 51, 52, 55, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 20, 23, 24, 26, 29, 32, 38, 39, 40, 41, 43, 44, 47, 49, 52, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 20, 23, 24, 25, 29, 32, 38, 39, 40, 41, 43, 45, 46, 49, 52, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 19, 20, 23, 24, 25, 32, 38, 39, 43, 45, 46, 49, 50, 51, 52, 57, 59 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 18, 20, 24, 26, 32, 38, 40, 43, 44, 47, 49, 50, 51, 52, 57, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 18, 20, 23, 24, 26, 32, 38, 40, 45, 47, 49, 50, 51, 52, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 17, 19, 21, 23, 25, 32, 38, 39, 45, 46, 49, 50, 51, 52, 59, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 17, 19, 21, 23, 24, 26, 32, 38, 39, 44, 46, 49, 50, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 17, 19, 20, 23, 24, 25, 32, 38, 40, 45, 46, 49, 50, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 17, 18, 21, 24, 26, 32, 38, 40, 44, 46, 49, 50, 51, 52, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 16, 17, 18, 21, 24, 25, 32, 38, 40, 45, 47, 49, 50, 51, 52, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 18, 21, 23, 26, 30, 31, 32, 34, 35, 36, 38, 39, 45, 51, 52, 54, 57, 63 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 20, 23, 26, 28, 29, 32, 37, 39, 40, 41, 43, 44, 46, 51, 52, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 20, 23, 25, 26, 29, 32, 37, 39, 40, 41, 43, 44, 48, 49, 52, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 20, 23, 24, 25, 29, 32, 37, 39, 40, 41, 44, 45, 46, 49, 52, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 20, 23, 24, 25, 28, 29, 32, 37, 39, 40, 41, 45, 46, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 19, 20, 23, 25, 26, 32, 37, 39, 43, 44, 48, 49, 50, 51, 52, 57, 58 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 19, 20, 23, 24, 25, 32, 37, 39, 44, 45, 46, 49, 50, 51, 52, 57, 60 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 18, 20, 23, 25, 26, 32, 37, 40, 45, 48, 49, 50, 51, 52, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 18, 19, 20, 23, 25, 32, 37, 41, 45, 47, 49, 50, 51, 52, 58, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 18, 19, 20, 23, 24, 25, 32, 37, 41, 45, 46, 49, 50, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 23, 24, 25, 29, 32, 37, 39, 41, 42, 44, 45, 46, 49, 52, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 23, 24, 25, 28, 29, 32, 37, 39, 41, 42, 45, 46, 51, 52, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 20, 23, 26, 28, 29, 32, 37, 41, 43, 44, 46, 51, 52, 57, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 20, 23, 25, 26, 29, 32, 37, 41, 43, 44, 48, 49, 52, 57, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 20, 23, 24, 25, 29, 32, 37, 41, 44, 45, 46, 49, 52, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 16, 17, 20, 23, 24, 25, 28, 29, 32, 37, 41, 45, 46, 51, 52, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 14, 15, 18, 21, 23, 26, 30, 31, 32, 35, 39, 45, 51, 52, 53, 54, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 24, 26, 30, 32, 34, 35, 36, 39, 40, 42, 47, 50, 51, 55, 56, 62 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 21, 24, 25, 32, 35, 39, 45, 46, 47, 49, 50, 51, 52, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 21, 24, 25, 26, 32, 35, 39, 46, 48, 49, 50, 51, 52, 57, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 20, 24, 30, 31, 32, 35, 40, 44, 45, 47, 48, 51, 52, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 20, 24, 26, 32, 35, 40, 44, 46, 47, 49, 50, 51, 52, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 20, 24, 26, 30, 31, 32, 35, 40, 44, 51, 52, 57, 58, 59, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 16, 18, 20, 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[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 19, 28, 29, 30, 33, 34, 40, 41, 47, 49, 52, 54, 55, 56, 58, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 19, 28, 29, 30, 33, 34, 36, 40, 41, 47, 49, 52, 53, 54, 55, 58, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 19, 24, 28, 29, 30, 33, 34, 40, 41, 49, 52, 54, 55, 56, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 19, 24, 28, 29, 30, 33, 34, 36, 40, 41, 49, 52, 53, 54, 55, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 16, 18, 20, 22, 25, 32, 33, 35, 36, 43, 49, 50, 51, 52, 54, 56, 58 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 19, 28, 29, 30, 36, 37, 38, 40, 41, 46, 49, 52, 54, 56, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 19, 28, 29, 30, 36, 37, 38, 40, 41, 43, 49, 52, 54, 56, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 19, 21, 22, 26, 32, 33, 34, 37, 49, 50, 51, 52, 53, 56, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 19, 28, 29, 30, 33, 34, 40, 41, 46, 49, 52, 53, 55, 59, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 19, 28, 29, 30, 33, 34, 40, 41, 43, 49, 52, 53, 55, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 16, 18, 20, 22, 25, 32, 35, 37, 43, 49, 50, 51, 52, 53, 58, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 28, 29, 30, 37, 38, 40, 41, 47, 49, 52, 56, 58, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 28, 29, 30, 36, 37, 38, 40, 41, 47, 49, 52, 53, 58, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 28, 29, 30, 33, 36, 38, 40, 41, 46, 49, 52, 56, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 28, 29, 30, 33, 36, 38, 40, 41, 43, 49, 52, 56, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 24, 28, 29, 30, 37, 38, 40, 41, 49, 52, 56, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 24, 28, 29, 30, 36, 37, 38, 40, 41, 49, 52, 53, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 19, 21, 22, 26, 32, 34, 36, 49, 50, 51, 52, 54, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 22, 23, 24, 25, 33, 41, 42, 44, 46, 49, 51, 52, 54, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 22, 23, 24, 25, 27, 41, 42, 44, 46, 50, 51, 52, 53, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 18, 20, 22, 25, 29, 34, 36, 37, 49, 50, 52, 53, 54, 55, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 18, 20, 22, 25, 27, 29, 34, 35, 37, 38, 52, 53, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 25, 29, 33, 34, 49, 50, 52, 55, 56, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 25, 29, 33, 34, 43, 49, 50, 52, 55, 56, 58, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 18, 20, 22, 25, 29, 33, 36, 38, 49, 50, 52, 54, 55, 56, 59, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 18, 20, 22, 25, 29, 33, 36, 38, 43, 49, 50, 52, 54, 55, 56, 58 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 19, 21, 22, 28, 30, 37, 48, 49, 53, 54, 55, 56, 58, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 19, 21, 22, 28, 30, 37, 43, 48, 49, 53, 54, 55, 56, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 19, 21, 22, 28, 30, 34, 38, 48, 49, 54, 56, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 19, 21, 22, 28, 30, 34, 38, 43, 48, 49, 54, 56, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 19, 21, 22, 28, 30, 34, 36, 38, 43, 48, 49, 53, 54, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 19, 21, 22, 28, 30, 33, 34, 36, 38, 43, 48, 49, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 18, 20, 22, 25, 29, 37, 38, 49, 50, 52, 53, 55, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 18, 20, 22, 25, 29, 37, 38, 43, 49, 50, 52, 53, 55, 58, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 18, 20, 22, 25, 29, 31, 38, 49, 53, 54, 55, 56, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 18, 20, 22, 25, 29, 31, 38, 43, 49, 53, 54, 55, 56, 58, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 22, 26, 34, 36, 41, 42, 43, 49, 51, 52, 54, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 22, 26, 27, 34, 36, 41, 42, 50, 51, 52, 54, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 21, 22, 28, 30, 43, 48, 49, 54, 55, 56, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 21, 22, 28, 30, 36, 48, 49, 53, 54, 55, 58, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 21, 22, 28, 30, 36, 43, 48, 49, 53, 54, 55, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 21, 22, 28, 30, 33, 43, 48, 49, 53, 55, 56, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 21, 22, 28, 30, 33, 36, 48, 49, 55, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 21, 22, 28, 30, 33, 36, 43, 48, 49, 55, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 21, 22, 23, 26, 28, 30, 33, 38, 46, 47, 50, 58, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 21, 22, 23, 24, 26, 28, 30, 33, 38, 50, 58, 60, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 24, 25, 27, 28, 45, 52, 53, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 28, 43, 47, 48, 49, 50, 52, 53, 58, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 28, 46, 48, 49, 50, 52, 53, 59, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 19, 21, 22, 23, 24, 28, 30, 48, 50, 53, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 41, 42, 45, 47, 50, 51, 52, 54, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 33, 41, 42, 45, 47, 50, 51, 52, 53, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 30, 41, 42, 45, 47, 49, 50, 51, 54, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 30, 33, 41, 42, 45, 47, 49, 50, 51, 53, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 27, 41, 42, 45, 47, 49, 51, 52, 54, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 27, 33, 41, 42, 45, 47, 49, 51, 52, 53, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 27, 30, 41, 42, 45, 47, 51, 54, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 22, 23, 24, 26, 27, 30, 33, 41, 42, 45, 47, 51, 53, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 19, 21, 22, 26, 27, 28, 33, 35, 36, 37, 52, 55, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 19, 21, 22, 26, 27, 28, 35, 52, 53, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 19, 21, 22, 26, 28, 33, 37, 38, 49, 50, 52, 53, 55, 56, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 19, 21, 22, 26, 28, 30, 33, 36, 37, 38, 50, 55, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 19, 21, 22, 26, 28, 36, 38, 49, 50, 52, 54, 55, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 19, 21, 22, 26, 28, 30, 38, 50, 53, 54, 55, 56, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 22, 26, 27, 34, 36, 41, 42, 43, 49, 51, 52, 53, 59, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 22, 26, 27, 33, 34, 36, 41, 42, 49, 51, 52, 54, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 19, 21, 22, 28, 30, 48, 50, 53, 55, 56, 58, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 19, 21, 22, 28, 30, 43, 48, 50, 53, 55, 56, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 22, 26, 33, 35, 37, 41, 42, 50, 51, 52, 53, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 22, 26, 30, 35, 37, 41, 42, 49, 50, 51, 54, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 22, 26, 30, 33, 35, 37, 41, 42, 49, 50, 51, 53, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 22, 26, 27, 33, 35, 37, 41, 42, 49, 51, 52, 53, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 22, 26, 27, 30, 35, 37, 41, 42, 51, 54, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 22, 26, 27, 30, 33, 35, 37, 41, 42, 51, 53, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 30, 34, 36, 37, 40, 41, 47, 49, 52, 54, 55, 56, 58, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 24, 30, 34, 36, 37, 40, 41, 49, 52, 54, 55, 56, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 30, 37, 38, 40, 41, 47, 49, 52, 53, 54, 58, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 30, 33, 38, 40, 41, 46, 49, 52, 54, 56, 59, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 30, 33, 38, 40, 41, 43, 49, 52, 54, 56, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 30, 33, 36, 38, 40, 41, 46, 49, 52, 53, 54, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 30, 33, 36, 38, 40, 41, 43, 49, 52, 53, 54, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 24, 30, 37, 38, 40, 41, 49, 52, 53, 54, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 34, 37, 40, 41, 46, 49, 52, 55, 56, 59, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 34, 37, 40, 41, 43, 49, 52, 55, 56, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 34, 36, 37, 40, 41, 46, 49, 52, 53, 55, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 34, 36, 37, 40, 41, 43, 49, 52, 53, 55, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 33, 34, 36, 40, 41, 47, 49, 52, 55, 56, 58, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 24, 30, 33, 34, 36, 40, 41, 49, 52, 55, 56, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 19, 30, 33, 38, 40, 41, 47, 49, 52, 53, 58, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 19, 24, 30, 33, 38, 40, 41, 49, 52, 53, 60, 63, 64 ] ];
  
  
### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 335
### These  nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: 
### DS106[1], DS106[3], DS106[4], DS106[5], DS106[6], DS106[7], DS106[8], DS106[10], DS106[14], DS106[16], DS106[18], DS106[20], DS106[21], DS106[23], DS106[24], DS106[25], DS106[26], DS106[27], DS106[28], DS106[31], DS106[38], DS106[39], DS106[40], DS106[41], DS106[42], DS106[43], DS106[44], DS106[46], DS106[47], DS106[48], DS106[50], DS106[51], DS106[52], DS106[53], DS106[54], DS106[55], DS106[58], DS106[60], DS106[61], DS106[65], DS106[66], DS106[68], DS106[69], DS106[70], DS106[71], DS106[72], DS106[73], DS106[74], DS106[75], DS106[76], DS106[78], DS106[79], DS106[80], DS106[81], DS106[82], DS106[83], DS106[84], DS106[85], DS106[87], DS106[89], DS106[90], DS106[91], DS106[92], DS106[94], DS106[95], DS106[96], DS106[97], DS106[98], DS106[100], DS106[102], DS106[104], DS106[105], DS106[106], DS106[107], DS106[108], DS106[109], DS106[110], DS106[111], DS106[112], DS106[113], DS106[114], DS106[115], DS106[116], DS106[117], DS106[118], DS106[122], DS106[126], DS106[127], DS106[128], DS106[130], DS106[131], DS106[132], DS106[134], DS106[135], DS106[136], DS106[137], DS106[138], DS106[139], DS106[140], DS106[141], DS106[142], DS106[143], DS106[144], DS106[145], DS106[146], DS106[148], DS106[151], DS106[152], DS106[153], DS106[154], DS106[156], DS106[157], DS106[163], DS106[166], DS106[167], DS106[168], DS106[169], DS106[171], DS106[173], DS106[174], DS106[175], DS106[176], DS106[177], DS106[178], DS106[179], DS106[180], DS106[181], DS106[182], DS106[183], DS106[185], DS106[187], DS106[188], DS106[189], DS106[190], DS106[191], DS106[192], DS106[193], DS106[194], DS106[195], DS106[196], DS106[197], DS106[198], DS106[199], DS106[200], DS106[201], DS106[202], DS106[203], DS106[204], DS106[205], DS106[206], DS106[207], DS106[208], DS106[209], DS106[214], DS106[215], DS106[219], DS106[222], DS106[224], DS106[227], DS106[230], DS106[231], DS106[232], DS106[234], DS106[237], DS106[238], DS106[239], DS106[243], DS106[244], DS106[249], DS106[250], DS106[252], DS106[255], DS106[256], DS106[258], DS106[259], DS106[260], DS106[261], DS106[262], DS106[263], DS106[264], DS106[265], DS106[268], DS106[269], DS106[270], DS106[271], DS106[272], DS106[273], DS106[274], DS106[275], DS106[276], DS106[277], DS106[278], DS106[279], DS106[280], DS106[281], DS106[282], DS106[283], DS106[284], DS106[285], DS106[286], DS106[287], DS106[288], DS106[291], DS106[292], DS106[295], DS106[296], DS106[297], DS106[298], DS106[299], DS106[301], DS106[305], DS106[307], DS106[308], DS106[309], DS106[310], DS106[312], DS106[315], DS106[316], DS106[317], DS106[318], DS106[319], DS106[320], DS106[321], DS106[322], DS106[323], DS106[324], DS106[325], DS106[326], DS106[327], DS106[328], DS106[329], DS106[330], DS106[331], DS106[332], DS106[333], DS106[334], DS106[335], DS106[336], DS106[337], DS106[338], DS106[339], DS106[340], DS106[341], DS106[342], DS106[343], DS106[344], DS106[345], DS106[346], DS106[347], DS106[348], DS106[349], DS106[351], DS106[352], DS106[353], DS106[354], DS106[355], DS106[356], DS106[357], DS106[358], DS106[359], DS106[361], DS106[362], DS106[363], DS106[364], DS106[365], DS106[366], DS106[367], DS106[368], DS106[369], DS106[371], DS106[372], DS106[373], DS106[374], DS106[375], DS106[376], DS106[377], DS106[378], DS106[379], DS106[380], DS106[381], DS106[382], DS106[383], DS106[384], DS106[385], DS106[386], DS106[387], DS106[388], DS106[389], DS106[390], DS106[391], DS106[392], DS106[393], DS106[394], DS106[395], DS106[396], DS106[397], DS106[398], DS106[401], DS106[402], DS106[403], DS106[404], DS106[405], DS106[406], DS106[407], DS106[408], DS106[409], DS106[410], DS106[411], DS106[414], DS106[417], DS106[418], DS106[419], DS106[420], DS106[421], DS106[422], DS106[423], DS106[424], DS106[425], DS106[426], DS106[427], DS106[428], DS106[429], DS106[430], DS106[431], DS106[432], DS106[433], DS106[434], DS106[435], DS106[436], DS106[437], DS106[438], DS106[439], DS106[440], DS106[441], DS106[442]. 
         
         
  
# Finally, We list all inequivalent reversible (64,28,12) difference 
# sets in group [64,106].
  
  
### The number of inequivalent reversible (64,28,12) DSs in group [64,106] is 52
### The list of all inequivalent reversible (64,28,12) DSs in group [64,106] is 
  
  
RDS106:=[ [ 2, 3, 5, 6, 8, 9, 10, 11, 14, 16, 17, 21, 22, 23, 24, 28, 30, 37, 39, 40, 48, 50, 57, 58, 59, 60, 61, 62 ], [ 2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 16, 21, 22, 23, 24, 28, 30, 37, 44, 45, 48, 50, 53, 54, 55, 60, 61, 62 ], [ 2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 16, 21, 22, 23, 24, 28, 29, 30, 34, 37, 48, 51, 54, 58, 59, 60, 61, 63 ], [ 2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 16, 17, 21, 22, 24, 28, 30, 37, 39, 40, 48, 50, 53, 54, 55, 57, 61, 62 ], [ 2, 3, 4, 8, 9, 10, 11, 13, 14, 16, 19, 23, 24, 28, 30, 37, 39, 44, 45, 48, 50, 53, 54, 55, 57, 60, 61, 62 ], [ 2, 3, 4, 8, 9, 10, 11, 13, 14, 16, 19, 23, 24, 28, 29, 30, 34, 37, 39, 48, 51, 54, 57, 58, 59, 60, 61, 63 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 15, 19, 20, 22, 23, 28, 29, 30, 37, 39, 42, 43, 46, 47, 48, 51, 56, 57, 60, 64 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 15, 19, 20, 22, 23, 24, 28, 29, 30, 37, 39, 42, 48, 51, 56, 57, 58, 59, 60, 61 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 13, 19, 20, 22, 28, 29, 30, 34, 36, 37, 38, 39, 42, 46, 47, 48, 51, 54, 57, 63 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 13, 19, 20, 22, 24, 28, 29, 30, 34, 36, 37, 38, 39, 42, 48, 51, 54, 57, 61, 63 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 13, 15, 19, 20, 22, 28, 29, 30, 37, 39, 42, 46, 47, 48, 51, 53, 54, 55, 56, 57 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 13, 15, 19, 20, 22, 24, 28, 29, 30, 37, 39, 42, 48, 51, 53, 54, 55, 56, 57, 61 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 15, 19, 20, 22, 28, 30, 32, 37, 39, 42, 48, 53, 54, 55, 56, 57, 58, 59 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 15, 19, 20, 22, 28, 30, 32, 37, 39, 42, 43, 48, 53, 54, 55, 56, 57, 64 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 14, 16, 19, 20, 21, 23, 28, 30, 37, 39, 42, 43, 46, 47, 48, 50, 57, 60, 62, 64 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 14, 16, 19, 20, 21, 23, 24, 28, 30, 37, 39, 42, 48, 50, 57, 58, 59, 60, 61, 62 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 16, 19, 20, 21, 24, 28, 30, 37, 39, 42, 48, 50, 53, 54, 55, 57, 61, 62 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 15, 17, 19, 21, 22, 23, 28, 29, 30, 37, 40, 43, 46, 47, 48, 51, 56, 60, 64 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 15, 17, 19, 21, 22, 23, 24, 28, 29, 30, 37, 40, 48, 51, 56, 58, 59, 60, 61 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 14, 16, 18, 19, 21, 22, 23, 24, 28, 30, 37, 41, 48, 50, 58, 59, 60, 61, 62 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 17, 19, 21, 22, 28, 29, 30, 34, 36, 37, 38, 40, 46, 47, 48, 51, 54, 63 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 17, 19, 21, 22, 24, 28, 29, 30, 34, 36, 37, 38, 40, 48, 51, 54, 61, 63 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 15, 17, 19, 21, 22, 28, 29, 30, 37, 40, 46, 47, 48, 51, 53, 54, 55, 56 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 15, 17, 19, 21, 22, 24, 28, 29, 30, 37, 40, 48, 51, 53, 54, 55, 56, 61 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16, 18, 19, 21, 22, 24, 28, 30, 37, 41, 48, 50, 53, 54, 55, 61, 62 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 17, 19, 21, 22, 28, 30, 32, 37, 40, 48, 53, 54, 55, 56, 58, 59 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 17, 19, 21, 22, 28, 30, 32, 37, 40, 43, 48, 53, 54, 55, 56, 64 ], [ 1, 2, 3, 7, 8, 9, 10, 11, 14, 16, 17, 20, 23, 24, 28, 30, 37, 39, 40, 42, 48, 50, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 7, 8, 9, 10, 11, 13, 14, 16, 20, 23, 24, 28, 30, 37, 42, 44, 45, 48, 50, 53, 54, 55, 60, 61, 62 ], [ 1, 2, 3, 7, 8, 9, 10, 11, 13, 14, 16, 20, 23, 24, 28, 29, 30, 34, 37, 42, 48, 51, 54, 58, 59, 60, 61, 63 ], [ 1, 2, 3, 7, 8, 9, 10, 11, 13, 14, 16, 17, 20, 24, 28, 30, 37, 39, 40, 42, 48, 50, 53, 54, 55, 57, 61, 62 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 15, 17, 19, 20, 23, 28, 29, 30, 37, 40, 42, 43, 46, 47, 48, 51, 56, 60, 64 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 15, 17, 19, 20, 23, 24, 28, 29, 30, 37, 40, 42, 48, 51, 56, 58, 59, 60, 61 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 14, 16, 18, 19, 20, 23, 24, 28, 30, 37, 41, 42, 48, 50, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 17, 19, 20, 28, 29, 30, 34, 36, 37, 38, 40, 42, 46, 47, 48, 51, 54, 63 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 17, 19, 20, 24, 28, 29, 30, 34, 36, 37, 38, 40, 42, 48, 51, 54, 61, 63 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 28, 29, 30, 37, 40, 42, 46, 47, 48, 51, 53, 54, 55, 56 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 24, 28, 29, 30, 37, 40, 42, 48, 51, 53, 54, 55, 56, 61 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 16, 18, 19, 20, 24, 28, 30, 37, 41, 42, 48, 50, 53, 54, 55, 61, 62 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 20, 28, 30, 32, 37, 40, 42, 48, 53, 54, 55, 56, 58, 59 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 20, 28, 30, 32, 37, 40, 42, 43, 48, 53, 54, 55, 56, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 14, 16, 19, 22, 23, 28, 30, 37, 39, 43, 46, 47, 48, 50, 57, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 14, 16, 19, 22, 23, 24, 28, 30, 37, 39, 48, 50, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 16, 19, 22, 24, 28, 30, 37, 39, 48, 50, 53, 54, 55, 57, 61, 62 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 15, 19, 21, 23, 28, 29, 30, 37, 39, 43, 46, 47, 48, 51, 56, 57, 60, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 15, 19, 21, 23, 24, 28, 29, 30, 37, 39, 48, 51, 56, 57, 58, 59, 60, 61 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 19, 21, 28, 29, 30, 34, 36, 37, 38, 39, 46, 47, 48, 51, 54, 57, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 19, 21, 24, 28, 29, 30, 34, 36, 37, 38, 39, 48, 51, 54, 57, 61, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 15, 19, 21, 28, 29, 30, 37, 39, 46, 47, 48, 51, 53, 54, 55, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 15, 19, 21, 24, 28, 29, 30, 37, 39, 48, 51, 53, 54, 55, 56, 57, 61 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 19, 21, 28, 30, 32, 37, 39, 48, 53, 54, 55, 56, 57, 58, 59 ], [ 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 19, 21, 28, 30, 32, 37, 39, 43, 48, 53, 54, 55, 56, 57, 64 ] ];
  
  
  
   
   
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