### 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 [64,166]. 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 [64,166].
    
    
# 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(64,166));' can be 
# used to create a list e of the elements of the group [64,166].
# In our list of (64,28,12) DSs in group [64,166], we have [1, 
# 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 
# 30, 34, 37, 39, 43, 49, 50, 51, 54, 57, 60, 63, 64].
# This list denotes the elements [ e[1], e[2], e[3], 
# e[4], e[6], e[7], e[9], e[10], e[11], e[13], e[14], e[16], e[19], e[22], e[23], e[30], 
# e[34], e[37], e[39], e[43], e[49], e[50], e[51], e[54], e[57], e[60], e[63], e[64]]
# where e is the list of the elements of the group [64,166] as they 
# appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,166));'
    
    
###########################  
###########################  
###########################  
  
### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs
### that rise from these DSs in group [64, 166]
  
  
  
### The number of inequivalent (64,28,12) DSs in group [64,166] is 2312
### The list of all inequivalent (64,28,12) DSs in group [64,166] is 
  
  
DS166:=[ [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 30, 34, 37, 39, 43, 49, 50, 51, 54, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 30, 34, 37, 39, 43, 44, 49, 50, 51, 54, 57, 58, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 28, 30, 34, 37, 39, 43, 50, 54, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 19, 22, 23, 28, 30, 34, 37, 39, 43, 44, 50, 54, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 30, 35, 37, 40, 43, 49, 50, 51, 53, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 30, 35, 37, 40, 43, 44, 49, 50, 51, 53, 57, 58, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 29, 30, 34, 37, 40, 43, 49, 54, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 29, 30, 34, 37, 40, 43, 44, 49, 54, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 28, 30, 35, 37, 40, 43, 50, 53, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 18, 22, 23, 28, 30, 35, 37, 40, 43, 44, 50, 53, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 13, 16, 17, 19, 22, 23, 25, 32, 34, 36, 40, 43, 44, 47, 52, 53, 54, 56, 61, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 13, 15, 17, 19, 22, 23, 32, 35, 37, 40, 43, 44, 46, 47, 48, 52, 53, 56, 58, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 13, 15, 17, 19, 22, 23, 26, 32, 34, 37, 40, 44, 46, 52, 53, 54, 56, 58, 59, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 13, 15, 17, 19, 22, 23, 26, 32, 34, 37, 40, 43, 46, 52, 54, 56, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 13, 15, 17, 19, 22, 23, 26, 32, 34, 37, 40, 43, 44, 46, 52, 54, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 13, 15, 17, 19, 22, 23, 25, 32, 35, 37, 40, 43, 44, 47, 52, 53, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 11, 13, 15, 17, 19, 22, 23, 30, 35, 37, 40, 43, 44, 46, 47, 48, 53, 56, 58, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 11, 13, 15, 17, 19, 22, 23, 26, 30, 34, 37, 40, 43, 46, 54, 56, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 11, 13, 15, 17, 19, 22, 23, 26, 30, 34, 37, 40, 43, 44, 46, 54, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 11, 13, 15, 17, 19, 22, 23, 25, 30, 35, 37, 40, 43, 44, 47, 53, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 15, 19, 22, 24, 27, 28, 31, 34, 37, 39, 48, 49, 52, 53, 55, 56, 57, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 15, 19, 22, 24, 25, 27, 28, 31, 34, 37, 39, 46, 49, 52, 53, 55, 56, 57, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 18, 22, 26, 27, 28, 31, 36, 39, 40, 44, 46, 52, 58, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 26, 31, 36, 39, 44, 46, 49, 50, 51, 52, 58, 60, 61, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 26, 28, 31, 36, 39, 44, 46, 50, 52, 58, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 25, 29, 31, 36, 39, 44, 47, 49, 52, 58, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 23, 26, 31, 36, 39, 43, 45, 46, 49, 50, 51, 52, 59, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 23, 26, 28, 31, 36, 39, 43, 45, 46, 50, 52, 59, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 17, 18, 22, 23, 25, 29, 31, 36, 39, 43, 45, 47, 49, 52, 59, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 16, 18, 22, 24, 27, 28, 31, 33, 35, 36, 39, 40, 48, 52, 54, 56, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 15, 19, 22, 24, 27, 28, 31, 33, 35, 37, 39, 48, 49, 52, 54, 56, 57, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 15, 19, 22, 24, 25, 27, 28, 31, 33, 35, 37, 39, 46, 49, 52, 54, 56, 57 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 21, 23, 30, 34, 35, 36, 40, 43, 49, 50, 51, 55, 56, 57, 60, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 21, 23, 30, 34, 35, 36, 40, 43, 44, 49, 50, 51, 55, 56, 57, 58 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 21, 23, 28, 30, 34, 35, 36, 40, 43, 50, 55, 56, 57, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 21, 23, 28, 30, 34, 35, 36, 40, 43, 44, 50, 55, 56, 57, 58, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 21, 23, 28, 29, 30, 34, 36, 40, 43, 51, 54, 56, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 21, 23, 28, 29, 30, 34, 36, 40, 43, 44, 51, 54, 56, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 19, 21, 23, 30, 34, 36, 41, 43, 49, 50, 51, 54, 56, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 19, 21, 23, 30, 34, 36, 41, 43, 44, 49, 50, 51, 54, 56, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 19, 21, 23, 28, 30, 34, 36, 41, 43, 50, 54, 56, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 16, 18, 19, 21, 23, 28, 30, 34, 36, 41, 43, 44, 50, 54, 56, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 19, 21, 23, 28, 29, 30, 37, 39, 43, 51, 53, 54, 55, 56, 57, 60, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 19, 21, 23, 28, 29, 30, 37, 39, 43, 44, 51, 53, 54, 55, 56, 57, 58 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 19, 21, 23, 28, 29, 30, 34, 37, 39, 43, 51, 54, 56, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 19, 21, 23, 28, 29, 30, 34, 37, 39, 43, 44, 51, 54, 56, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 18, 19, 21, 23, 29, 30, 37, 41, 43, 49, 53, 54, 55, 56, 60, 62, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 18, 19, 21, 23, 29, 30, 37, 41, 43, 44, 49, 53, 54, 55, 56, 58, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 18, 19, 21, 23, 29, 30, 34, 37, 41, 43, 49, 54, 56, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 18, 19, 21, 23, 29, 30, 34, 37, 41, 43, 44, 49, 54, 56, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 19, 21, 23, 30, 34, 38, 39, 43, 49, 50, 51, 54, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 19, 21, 23, 30, 34, 38, 39, 43, 44, 49, 50, 51, 54, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 19, 21, 23, 28, 30, 34, 38, 39, 43, 50, 54, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 19, 21, 23, 28, 30, 34, 38, 39, 43, 44, 50, 54, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 18, 21, 23, 30, 35, 38, 40, 43, 49, 50, 51, 53, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 18, 21, 23, 30, 35, 38, 40, 43, 44, 49, 50, 51, 53, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 18, 21, 23, 29, 30, 34, 38, 40, 43, 49, 54, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 18, 21, 23, 29, 30, 34, 38, 40, 43, 44, 49, 54, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 18, 21, 23, 28, 30, 35, 38, 40, 43, 50, 53, 57, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 18, 21, 23, 28, 30, 35, 38, 40, 43, 44, 50, 53, 57, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 16, 18, 21, 23, 25, 26, 30, 34, 36, 40, 43, 48, 54, 56, 57, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 16, 18, 21, 23, 25, 26, 30, 34, 36, 40, 43, 44, 48, 54, 56, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 15, 19, 21, 23, 30, 34, 35, 37, 39, 43, 46, 47, 48, 55, 56, 57, 60, 64 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 15, 19, 21, 23, 30, 34, 35, 37, 39, 43, 44, 46, 47, 48, 55, 56, 57, 58 ], [ 1, 2, 3, 4, 5, 7, 8, 10, 11, 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48, 51, 52, 55, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 19, 30, 33, 34, 37, 38, 40, 41, 44, 45, 48, 49, 52, 55, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 18, 29, 30, 35, 36, 37, 43, 44, 46, 49, 50, 52, 55, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 18, 28, 30, 35, 36, 37, 43, 45, 46, 49, 52, 55, 59, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 18, 27, 28, 30, 35, 36, 37, 45, 46, 50, 52, 55, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 29, 30, 33, 38, 41, 44, 49, 50, 52, 53, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 25, 27, 30, 36, 44, 45, 50, 52, 53, 54, 57, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 19, 30, 33, 38, 40, 41, 44, 49, 52, 53, 55, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 19, 25, 30, 33, 34, 36, 40, 45, 51, 52, 53, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 18, 29, 30, 38, 43, 44, 50, 52, 53, 54, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 18, 25, 27, 28, 30, 36, 44, 45, 50, 52, 54, 55, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 18, 19, 30, 38, 40, 43, 44, 52, 53, 54, 55, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 18, 19, 25, 30, 33, 34, 36, 40, 45, 49, 52, 55, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 25, 30, 35, 36, 39, 40, 49, 52, 53, 55, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 25, 30, 34, 35, 36, 40, 41, 44, 51, 52, 53, 55, 59 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 30, 41, 43, 44, 45, 46, 49, 51, 52, 53, 54, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 29, 30, 41, 43, 44, 46, 50, 52, 53, 54, 58, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 27, 30, 41, 44, 45, 46, 50, 51, 52, 53, 54, 58, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 29, 30, 43, 44, 46, 49, 50, 52, 54, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 28, 30, 43, 45, 46, 49, 52, 54, 59, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 27, 28, 30, 45, 46, 50, 52, 54, 58, 60, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 30, 33, 35, 36, 38, 40, 41, 44, 45, 48, 49, 52, 56, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 28, 30, 33, 35, 36, 38, 40, 45, 48, 52, 55, 56, 57, 58 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 20, 33, 35, 38, 40, 41, 42, 44, 45, 46, 48, 49, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 20, 28, 33, 35, 38, 40, 42, 45, 46, 48, 55, 57, 58, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 18, 20, 26, 33, 35, 38, 39, 42, 43, 44, 46, 47, 51, 55, 57 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 18, 20, 26, 33, 35, 38, 39, 41, 42, 43, 46, 47, 58, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 20, 24, 26, 34, 35, 39, 41, 42, 45, 46, 51, 54, 57, 58 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 20, 24, 26, 34, 40, 42, 44, 46, 51, 53, 55, 57, 59 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 20, 24, 26, 35, 39, 41, 42, 45, 46, 49, 54, 60, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 19, 20, 24, 26, 40, 42, 46, 49, 53, 55, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 29, 30, 41, 44, 45, 48, 49, 50, 52, 53, 56, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 28, 29, 30, 34, 45, 48, 50, 52, 56, 57, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 19, 30, 40, 41, 44, 45, 48, 49, 52, 53, 55, 56, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 19, 28, 30, 34, 40, 45, 48, 52, 55, 56, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 25, 30, 35, 36, 41, 44, 45, 52, 53, 54, 57, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 25, 28, 30, 35, 36, 39, 45, 52, 54, 55, 57, 64 ] ];
  
  
### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 1121
### These  nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: 
### DS166[2], DS166[5], DS166[7], DS166[8], DS166[9], DS166[11], DS166[17], DS166[18], DS166[19], DS166[21], DS166[22], DS166[23], DS166[30], DS166[47], DS166[48], DS166[49], DS166[51], DS166[54], DS166[57], DS166[58], DS166[61], DS166[62], DS166[64], DS166[73], DS166[79], DS166[80], DS166[81], DS166[87], DS166[90], DS166[97], DS166[100], DS166[107], DS166[114], DS166[115], DS166[116], DS166[117], DS166[118], DS166[119], DS166[123], DS166[124], DS166[126], DS166[127], DS166[132], DS166[133], DS166[134], DS166[137], DS166[145], DS166[154], DS166[155], DS166[156], DS166[157], DS166[163], DS166[164], DS166[165], DS166[168], DS166[174], DS166[185], DS166[186], DS166[198], DS166[199], DS166[200], DS166[205], DS166[209], DS166[213], DS166[218], DS166[232], DS166[239], DS166[245], DS166[249], DS166[251], DS166[252], DS166[253], DS166[254], DS166[255], DS166[258], DS166[267], DS166[268], DS166[274], DS166[281], DS166[282], DS166[283], DS166[287], DS166[289], DS166[290], DS166[295], DS166[296], DS166[298], DS166[300], DS166[304], DS166[312], DS166[313], DS166[315], DS166[316], DS166[317], DS166[319], DS166[327], DS166[331], DS166[351], DS166[363], DS166[365], DS166[375], DS166[378], DS166[391], DS166[396], DS166[398], DS166[400], DS166[403], DS166[404], DS166[407], DS166[408], DS166[409], DS166[410], DS166[411], DS166[415], DS166[420], DS166[421], DS166[423], DS166[425], DS166[426], DS166[428], DS166[429], DS166[432], DS166[438], DS166[439], DS166[441], DS166[443], DS166[446], DS166[449], DS166[453], DS166[457], DS166[459], DS166[468], DS166[469], DS166[472], DS166[477], DS166[487], DS166[488], DS166[489], DS166[490], DS166[495], DS166[501], DS166[505], DS166[508], DS166[509], DS166[510], DS166[511], DS166[512], DS166[513], DS166[514], DS166[516], DS166[518], DS166[521], DS166[528], DS166[529], DS166[537], DS166[539], DS166[541], DS166[544], DS166[545], DS166[559], DS166[561], DS166[562], DS166[571], DS166[572], DS166[575], DS166[576], DS166[577], DS166[578], DS166[579], DS166[588], DS166[589], DS166[590], DS166[591], DS166[595], DS166[596], DS166[597], DS166[600], DS166[604], DS166[609], DS166[618], DS166[622], DS166[629], DS166[648], DS166[649], DS166[656], DS166[657], DS166[658], DS166[660], DS166[664], DS166[676], DS166[677], DS166[679], DS166[680], DS166[682], DS166[683], DS166[684], DS166[692], DS166[697], DS166[700], DS166[701], DS166[715], DS166[716], DS166[717], DS166[718], DS166[719], DS166[722], DS166[725], DS166[729], DS166[730], DS166[737], DS166[745], DS166[753], DS166[754], DS166[755], DS166[760], DS166[763], DS166[782], DS166[785], DS166[786], DS166[790], DS166[793], DS166[804], DS166[805], DS166[806], DS166[807], DS166[811], DS166[815], DS166[818], DS166[822], DS166[826], DS166[827], DS166[830], DS166[844], DS166[853], DS166[856], DS166[858], DS166[860], DS166[870], DS166[873], DS166[874], DS166[875], DS166[876], DS166[881], DS166[887], DS166[889], DS166[890], DS166[891], DS166[892], DS166[893], DS166[896], DS166[897], DS166[898], DS166[899], DS166[900], DS166[903], DS166[904], DS166[907], DS166[908], DS166[909], DS166[915], DS166[918], DS166[924], DS166[928], DS166[929], DS166[931], DS166[945], DS166[946], DS166[947], DS166[948], DS166[949], DS166[950], DS166[958], DS166[960], DS166[961], DS166[962], DS166[963], DS166[964], DS166[965], DS166[966], DS166[967], DS166[968], DS166[969], DS166[970], DS166[974], DS166[977], DS166[980], DS166[981], DS166[988], DS166[989], DS166[990], DS166[992], DS166[993], DS166[995], DS166[996], DS166[1000], DS166[1006], DS166[1009], DS166[1012], DS166[1013], DS166[1014], DS166[1015], DS166[1016], DS166[1018], DS166[1019], DS166[1020], DS166[1021], DS166[1022], DS166[1023], DS166[1032], DS166[1033], DS166[1034], DS166[1041], DS166[1042], DS166[1045], DS166[1048], DS166[1052], DS166[1053], DS166[1054], DS166[1055], DS166[1057], DS166[1059], DS166[1060], DS166[1061], DS166[1062], DS166[1064], DS166[1067], DS166[1070], DS166[1073], DS166[1077], DS166[1079], DS166[1080], DS166[1081], DS166[1082], DS166[1084], DS166[1085], DS166[1089], DS166[1090], DS166[1094], DS166[1096], DS166[1098], DS166[1102], DS166[1103], DS166[1104], DS166[1105], DS166[1106], DS166[1108], DS166[1111], DS166[1114], DS166[1115], DS166[1116], DS166[1117], DS166[1118], DS166[1119], DS166[1120], DS166[1121], DS166[1125], DS166[1132], DS166[1133], DS166[1134], DS166[1135], DS166[1136], DS166[1138], DS166[1141], DS166[1142], DS166[1143], DS166[1144], DS166[1146], DS166[1159], DS166[1165], DS166[1167], DS166[1168], DS166[1169], DS166[1170], DS166[1171], DS166[1186], DS166[1199], DS166[1204], DS166[1211], DS166[1213], DS166[1214], DS166[1221], DS166[1243], DS166[1249], DS166[1250], DS166[1251], DS166[1255], DS166[1259], DS166[1264], DS166[1266], DS166[1267], DS166[1272], DS166[1276], DS166[1281], DS166[1287], DS166[1288], DS166[1302], DS166[1303], DS166[1304], DS166[1305], DS166[1306], DS166[1309], DS166[1324], DS166[1325], DS166[1326], DS166[1327], DS166[1328], DS166[1329], DS166[1330], DS166[1331], DS166[1332], DS166[1333], DS166[1334], DS166[1335], DS166[1336], DS166[1337], DS166[1338], DS166[1339], DS166[1341], DS166[1343], DS166[1344], DS166[1345], DS166[1346], DS166[1349], DS166[1352], DS166[1353], DS166[1354], DS166[1355], DS166[1356], DS166[1357], DS166[1358], DS166[1359], DS166[1360], DS166[1362], DS166[1367], DS166[1368], DS166[1369], DS166[1380], DS166[1396], DS166[1404], DS166[1408], DS166[1410], DS166[1421], DS166[1427], DS166[1432], DS166[1437], DS166[1441], DS166[1443], DS166[1445], DS166[1448], DS166[1452], DS166[1457], DS166[1460], DS166[1466], DS166[1467], DS166[1472], DS166[1473], DS166[1474], DS166[1475], DS166[1481], DS166[1482], DS166[1484], DS166[1485], DS166[1486], DS166[1487], DS166[1488], DS166[1494], DS166[1498], DS166[1500], DS166[1502], DS166[1505], DS166[1510], DS166[1523], DS166[1524], DS166[1526], DS166[1527], DS166[1528], DS166[1529], DS166[1530], DS166[1531], DS166[1535], DS166[1536], DS166[1537], DS166[1538], DS166[1539], DS166[1541], DS166[1543], DS166[1544], DS166[1545], DS166[1549], DS166[1551], DS166[1552], DS166[1557], DS166[1559], DS166[1566], DS166[1567], DS166[1569], DS166[1570], DS166[1571], DS166[1574], DS166[1575], DS166[1576], DS166[1577], DS166[1578], DS166[1580], DS166[1582], DS166[1586], DS166[1587], DS166[1588], DS166[1589], DS166[1590], DS166[1591], DS166[1592], DS166[1593], DS166[1594], DS166[1595], DS166[1596], DS166[1597], DS166[1598], DS166[1599], DS166[1600], DS166[1601], DS166[1603], DS166[1605], DS166[1606], DS166[1607], DS166[1608], DS166[1609], DS166[1610], DS166[1611], DS166[1612], DS166[1621], DS166[1641], DS166[1642], DS166[1652], DS166[1653], DS166[1654], DS166[1655], DS166[1656], DS166[1658], DS166[1663], DS166[1664], DS166[1665], DS166[1666], DS166[1667], DS166[1671], DS166[1672], DS166[1673], DS166[1674], DS166[1676], DS166[1678], DS166[1682], DS166[1683], DS166[1684], DS166[1686], DS166[1688], DS166[1689], DS166[1690], DS166[1692], DS166[1694], DS166[1695], DS166[1697], DS166[1698], DS166[1699], DS166[1700], DS166[1701], DS166[1702], DS166[1703], DS166[1704], DS166[1705], DS166[1706], DS166[1707], DS166[1708], DS166[1709], DS166[1710], DS166[1711], DS166[1715], DS166[1716], DS166[1718], DS166[1719], DS166[1720], DS166[1721], DS166[1722], DS166[1723], DS166[1724], DS166[1725], DS166[1726], DS166[1727], DS166[1730], DS166[1731], DS166[1732], DS166[1733], DS166[1734], DS166[1735], DS166[1736], DS166[1737], DS166[1738], DS166[1739], DS166[1740], DS166[1741], DS166[1742], DS166[1743], DS166[1744], DS166[1745], DS166[1746], DS166[1747], DS166[1750], DS166[1751], DS166[1752], DS166[1753], DS166[1754], DS166[1755], DS166[1756], DS166[1757], DS166[1762], DS166[1763], DS166[1764], DS166[1765], DS166[1766], DS166[1767], DS166[1768], DS166[1769], DS166[1770], DS166[1772], DS166[1773], DS166[1774], DS166[1778], DS166[1785], DS166[1790], DS166[1792], DS166[1793], DS166[1794], DS166[1795], DS166[1796], DS166[1799], DS166[1800], DS166[1801], DS166[1802], DS166[1803], DS166[1804], DS166[1805], DS166[1806], DS166[1807], DS166[1808], DS166[1809], DS166[1810], DS166[1813], DS166[1814], DS166[1816], DS166[1817], DS166[1818], DS166[1819], DS166[1820], DS166[1821], DS166[1822], DS166[1823], DS166[1824], DS166[1827], DS166[1828], DS166[1829], DS166[1834], DS166[1835], DS166[1836], DS166[1837], DS166[1838], DS166[1839], DS166[1840], DS166[1841], DS166[1842], DS166[1843], DS166[1844], DS166[1845], DS166[1846], DS166[1847], DS166[1848], DS166[1849], DS166[1850], DS166[1851], DS166[1852], DS166[1853], DS166[1854], DS166[1855], DS166[1856], DS166[1857], DS166[1858], DS166[1859], DS166[1860], DS166[1861], DS166[1862], DS166[1863], DS166[1864], DS166[1865], DS166[1866], DS166[1867], DS166[1868], DS166[1869], DS166[1870], DS166[1871], DS166[1872], DS166[1873], DS166[1874], DS166[1875], DS166[1876], DS166[1877], DS166[1878], DS166[1879], DS166[1880], DS166[1881], DS166[1882], DS166[1883], DS166[1884], DS166[1885], DS166[1886], DS166[1887], DS166[1888], DS166[1889], DS166[1890], DS166[1891], DS166[1892], DS166[1893], DS166[1894], DS166[1895], DS166[1896], DS166[1897], DS166[1898], DS166[1899], DS166[1900], DS166[1901], DS166[1902], DS166[1903], DS166[1904], DS166[1905], DS166[1906], DS166[1907], DS166[1908], DS166[1909], DS166[1910], DS166[1911], DS166[1912], DS166[1913], DS166[1914], DS166[1915], DS166[1916], DS166[1917], DS166[1918], DS166[1919], DS166[1920], DS166[1921], DS166[1922], DS166[1923], DS166[1924], DS166[1925], DS166[1926], DS166[1927], DS166[1928], DS166[1929], DS166[1930], DS166[1931], DS166[1932], DS166[1933], DS166[1934], DS166[1935], DS166[1936], DS166[1937], DS166[1938], DS166[1939], DS166[1940], DS166[1941], DS166[1942], DS166[1943], DS166[1944], DS166[1945], DS166[1946], DS166[1947], DS166[1948], DS166[1949], DS166[1950], DS166[1951], DS166[1952], DS166[1953], DS166[1954], DS166[1955], DS166[1956], DS166[1957], DS166[1958], DS166[1959], DS166[1960], DS166[1961], DS166[1962], DS166[1963], DS166[1964], DS166[1965], DS166[1966], DS166[1967], DS166[1968], DS166[1969], DS166[1970], DS166[1971], DS166[1972], DS166[1973], DS166[1974], DS166[1975], DS166[1976], DS166[1977], DS166[1978], DS166[1979], DS166[1980], DS166[1981], DS166[1982], DS166[1983], DS166[1984], DS166[1985], DS166[1986], DS166[1987], DS166[1988], DS166[1989], DS166[1990], DS166[1991], DS166[1992], DS166[1993], DS166[1994], DS166[1995], DS166[1996], DS166[1997], DS166[1998], DS166[1999], DS166[2000], DS166[2001], DS166[2002], DS166[2003], DS166[2004], DS166[2005], DS166[2006], DS166[2007], DS166[2008], DS166[2009], DS166[2010], DS166[2011], DS166[2012], DS166[2013], DS166[2014], DS166[2015], DS166[2016], DS166[2017], DS166[2018], DS166[2019], DS166[2020], DS166[2021], DS166[2022], DS166[2023], DS166[2024], DS166[2025], DS166[2026], DS166[2027], DS166[2028], DS166[2029], DS166[2030], DS166[2031], DS166[2032], DS166[2033], DS166[2034], DS166[2035], DS166[2036], DS166[2037], DS166[2038], DS166[2039], DS166[2040], DS166[2041], DS166[2042], DS166[2043], DS166[2044], DS166[2045], DS166[2046], DS166[2047], DS166[2048], DS166[2049], DS166[2050], DS166[2051], DS166[2052], DS166[2053], DS166[2054], DS166[2055], DS166[2056], DS166[2057], DS166[2058], DS166[2059], DS166[2060], DS166[2061], DS166[2062], DS166[2063], DS166[2064], DS166[2065], DS166[2066], DS166[2067], DS166[2068], DS166[2069], DS166[2070], DS166[2071], DS166[2072], DS166[2073], DS166[2074], DS166[2075], DS166[2079], DS166[2080], DS166[2081], DS166[2082], DS166[2083], DS166[2084], DS166[2085], DS166[2086], DS166[2087], DS166[2088], DS166[2089], DS166[2090], DS166[2091], DS166[2092], DS166[2095], DS166[2096], DS166[2097], DS166[2098], DS166[2099], DS166[2100], DS166[2101], DS166[2102], DS166[2103], DS166[2104], DS166[2105], DS166[2106], DS166[2107], DS166[2108], DS166[2109], DS166[2110], DS166[2111], DS166[2112], DS166[2113], DS166[2114], DS166[2115], DS166[2116], DS166[2117], DS166[2118], DS166[2119], DS166[2120], DS166[2121], DS166[2122], DS166[2123], DS166[2124], DS166[2125], DS166[2128], DS166[2129], DS166[2137], DS166[2138], DS166[2139], DS166[2140], DS166[2141], DS166[2142], DS166[2143], DS166[2144], DS166[2145], DS166[2146], DS166[2147], DS166[2148], DS166[2149], DS166[2150], DS166[2151], DS166[2152], DS166[2153], DS166[2154], DS166[2155], DS166[2156], DS166[2157], DS166[2158], DS166[2159], DS166[2160], DS166[2161], DS166[2162], DS166[2163], DS166[2164], DS166[2165], DS166[2166], DS166[2167], DS166[2168], DS166[2169], DS166[2170], DS166[2171], DS166[2172], DS166[2173], DS166[2174], DS166[2175], DS166[2176], DS166[2177], DS166[2178], DS166[2179], DS166[2180], DS166[2181], DS166[2182], DS166[2183], DS166[2184], DS166[2185], DS166[2186], DS166[2187], DS166[2188], DS166[2189], DS166[2190], DS166[2191], DS166[2192], DS166[2193], DS166[2194], DS166[2195], DS166[2196], DS166[2197], DS166[2198], DS166[2199], DS166[2200], DS166[2201], DS166[2202], DS166[2203], DS166[2204], DS166[2205], DS166[2206], DS166[2207], DS166[2208], DS166[2209], DS166[2210], DS166[2211], DS166[2212], DS166[2213], DS166[2214], DS166[2215], DS166[2216], DS166[2217], DS166[2218], DS166[2219], DS166[2220], DS166[2221], DS166[2222], DS166[2223], DS166[2224], DS166[2225], DS166[2226], DS166[2227], DS166[2228], DS166[2229], DS166[2230], DS166[2231], DS166[2233], DS166[2234], DS166[2235], DS166[2236], DS166[2237], DS166[2238], DS166[2239], DS166[2240], DS166[2241], DS166[2242], DS166[2243], DS166[2244], DS166[2247], DS166[2248], DS166[2249], DS166[2250], DS166[2251], DS166[2252], DS166[2253], DS166[2254], DS166[2255], DS166[2256], DS166[2257], DS166[2258], DS166[2259], DS166[2260], DS166[2261], DS166[2262], DS166[2263], DS166[2264], DS166[2265], DS166[2266], DS166[2267], DS166[2268], DS166[2269], DS166[2270], DS166[2271], DS166[2272], DS166[2273], DS166[2274], DS166[2275], DS166[2276], DS166[2277], DS166[2278], DS166[2279], DS166[2280], DS166[2281], DS166[2282], DS166[2283], DS166[2284], DS166[2285], DS166[2286], DS166[2287], DS166[2288], DS166[2289], DS166[2290], DS166[2291], DS166[2292], DS166[2293], DS166[2294], DS166[2295], DS166[2296], DS166[2297], DS166[2298], DS166[2299], DS166[2300], DS166[2301], DS166[2302], DS166[2303], DS166[2304], DS166[2305], DS166[2306], DS166[2307], DS166[2308], DS166[2309], DS166[2310], DS166[2311], DS166[2312]. 
         
         
  
# Finally, We list all inequivalent reversible (64,28,12) difference 
# sets in group [64,166].
  
  
### The number of inequivalent reversible (64,28,12) DSs in group [64,166] is 144
### The list of all inequivalent reversible (64,28,12) DSs in group [64,166] is 
  
  
RDS166:=[ [ 3, 4, 5, 8, 9, 13, 16, 17, 20, 21, 23, 24, 26, 27, 36, 41, 42, 44, 47, 51, 53, 54, 55, 56, 57, 59, 62, 64 ], [ 3, 4, 5, 8, 9, 13, 16, 17, 20, 21, 23, 24, 26, 27, 34, 36, 41, 42, 44, 47, 51, 54, 56, 57, 59, 62, 63, 64 ], [ 3, 4, 5, 8, 9, 13, 16, 17, 19, 20, 21, 23, 24, 27, 34, 36, 40, 42, 44, 48, 51, 54, 56, 59, 61, 62, 63, 64 ], [ 3, 4, 5, 8, 9, 13, 16, 17, 19, 20, 21, 23, 24, 25, 27, 34, 36, 40, 42, 44, 46, 51, 54, 56, 59, 62, 63, 64 ], [ 3, 4, 5, 8, 9, 13, 16, 17, 18, 20, 21, 23, 24, 26, 27, 36, 39, 42, 44, 47, 51, 53, 54, 55, 56, 59, 62, 64 ], [ 3, 4, 5, 8, 9, 13, 16, 17, 18, 20, 21, 23, 24, 26, 27, 34, 36, 39, 42, 44, 47, 51, 54, 56, 59, 62, 63, 64 ], [ 3, 4, 5, 6, 8, 9, 13, 15, 16, 17, 21, 22, 23, 24, 26, 27, 38, 41, 44, 47, 51, 53, 54, 55, 57, 59, 62, 64 ], [ 3, 4, 5, 6, 8, 9, 13, 15, 16, 17, 21, 22, 23, 24, 26, 27, 34, 38, 41, 44, 47, 51, 54, 57, 59, 62, 63, 64 ], [ 3, 4, 5, 6, 8, 9, 13, 15, 16, 17, 19, 21, 22, 23, 24, 27, 34, 38, 40, 44, 48, 51, 54, 59, 61, 62, 63, 64 ], [ 3, 4, 5, 6, 8, 9, 13, 15, 16, 17, 19, 21, 22, 23, 24, 25, 27, 34, 38, 40, 44, 46, 51, 54, 59, 62, 63, 64 ], [ 3, 4, 5, 6, 8, 9, 13, 15, 16, 17, 18, 21, 22, 23, 24, 26, 27, 38, 39, 44, 47, 51, 53, 54, 55, 59, 62, 64 ], [ 3, 4, 5, 6, 8, 9, 13, 15, 16, 17, 18, 21, 22, 23, 24, 26, 27, 34, 38, 39, 44, 47, 51, 54, 59, 62, 63, 64 ], [ 2, 5, 8, 9, 12, 13, 15, 20, 21, 23, 24, 25, 27, 30, 34, 36, 38, 42, 44, 46, 51, 52, 54, 56, 59, 62, 63, 64 ], [ 2, 5, 6, 8, 9, 11, 12, 13, 15, 21, 22, 23, 24, 25, 27, 32, 34, 36, 38, 44, 46, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 4, 5, 9, 12, 13, 15, 17, 18, 20, 21, 27, 30, 36, 38, 39, 42, 43, 45, 51, 52, 53, 54, 55, 56, 58, 60, 62 ], [ 2, 4, 5, 9, 12, 13, 15, 17, 18, 20, 21, 23, 27, 30, 36, 38, 39, 42, 44, 51, 52, 53, 54, 55, 56, 59, 62, 64 ], [ 2, 4, 5, 9, 12, 13, 15, 17, 18, 20, 21, 23, 27, 30, 34, 36, 38, 39, 42, 44, 51, 52, 54, 56, 59, 62, 63, 64 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 20, 21, 24, 26, 27, 30, 34, 41, 42, 43, 45, 47, 51, 52, 54, 57, 58, 60, 62, 63 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 20, 21, 23, 24, 26, 27, 30, 41, 42, 44, 47, 51, 52, 53, 54, 55, 57, 59, 62, 64 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 20, 21, 23, 24, 26, 27, 30, 34, 41, 42, 44, 47, 51, 52, 54, 57, 59, 62, 63, 64 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 19, 20, 21, 23, 24, 27, 30, 34, 40, 42, 44, 48, 51, 52, 54, 59, 61, 62, 63, 64 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 19, 20, 21, 23, 24, 25, 27, 30, 34, 40, 42, 44, 46, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 18, 20, 21, 24, 26, 27, 30, 39, 42, 43, 45, 47, 51, 52, 53, 54, 55, 58, 60, 62 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 18, 20, 21, 23, 24, 26, 27, 30, 39, 42, 44, 47, 51, 52, 53, 54, 55, 59, 62, 64 ], [ 2, 4, 5, 8, 9, 12, 13, 17, 18, 20, 21, 23, 24, 26, 27, 30, 34, 39, 42, 44, 47, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 4, 5, 6, 9, 11, 12, 13, 15, 17, 18, 21, 22, 27, 32, 36, 38, 39, 43, 45, 51, 53, 54, 55, 56, 58, 60, 62 ], [ 2, 4, 5, 6, 9, 11, 12, 13, 15, 17, 18, 21, 22, 23, 27, 32, 36, 38, 39, 44, 51, 53, 54, 55, 56, 59, 62, 64 ], [ 2, 4, 5, 6, 9, 11, 12, 13, 15, 17, 18, 21, 22, 23, 27, 32, 34, 36, 38, 39, 44, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 21, 22, 24, 26, 27, 32, 34, 41, 43, 45, 47, 51, 54, 57, 58, 60, 62, 63 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 21, 22, 23, 24, 26, 27, 32, 41, 44, 47, 51, 53, 54, 55, 57, 59, 62, 64 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 21, 22, 23, 24, 26, 27, 32, 34, 41, 44, 47, 51, 54, 57, 59, 62, 63, 64 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 19, 21, 22, 23, 24, 27, 32, 34, 40, 44, 48, 51, 54, 59, 61, 62, 63, 64 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 19, 21, 22, 23, 24, 25, 27, 32, 34, 40, 44, 46, 51, 54, 59, 62, 63, 64 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 18, 21, 22, 24, 26, 27, 32, 39, 43, 45, 47, 51, 53, 54, 55, 58, 60, 62 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 18, 21, 22, 23, 24, 26, 27, 32, 39, 44, 47, 51, 53, 54, 55, 59, 62, 64 ], [ 2, 4, 5, 6, 8, 9, 11, 12, 13, 17, 18, 21, 22, 23, 24, 26, 27, 32, 34, 39, 44, 47, 51, 54, 59, 62, 63, 64 ], [ 2, 3, 6, 8, 9, 12, 13, 15, 16, 20, 22, 23, 24, 25, 27, 30, 34, 38, 42, 44, 46, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 3, 6, 8, 9, 11, 12, 13, 16, 20, 22, 23, 24, 25, 27, 32, 34, 36, 42, 44, 46, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 3, 5, 8, 9, 12, 13, 14, 16, 20, 21, 23, 24, 25, 27, 30, 34, 37, 42, 44, 46, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 3, 5, 8, 9, 10, 12, 13, 16, 20, 21, 23, 24, 25, 27, 31, 36, 42, 44, 46, 51, 53, 54, 55, 56, 59, 62, 64 ], [ 2, 3, 5, 8, 9, 10, 12, 13, 16, 20, 21, 23, 24, 25, 27, 31, 34, 36, 42, 44, 46, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 3, 5, 6, 8, 9, 11, 12, 13, 14, 16, 21, 22, 23, 24, 25, 27, 32, 34, 37, 44, 46, 51, 54, 59, 62, 63, 64 ], [ 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 16, 21, 22, 23, 24, 25, 27, 31, 38, 44, 46, 51, 53, 54, 55, 59, 62, 64 ], [ 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 16, 21, 22, 23, 24, 25, 27, 31, 34, 38, 44, 46, 51, 54, 59, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 24, 26, 27, 30, 34, 38, 41, 43, 45, 47, 51, 52, 54, 57, 58, 60, 62, 63 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 23, 24, 26, 27, 30, 38, 41, 44, 47, 51, 52, 53, 54, 55, 57, 59, 62, 64 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 23, 24, 26, 27, 30, 34, 38, 41, 44, 47, 51, 52, 54, 57, 59, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 19, 23, 24, 27, 30, 34, 38, 40, 44, 48, 51, 52, 54, 59, 61, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 19, 23, 24, 25, 27, 30, 34, 38, 40, 44, 46, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 18, 24, 26, 27, 30, 38, 39, 43, 45, 47, 51, 52, 53, 54, 55, 58, 60, 62 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 18, 23, 24, 26, 27, 30, 38, 39, 44, 47, 51, 52, 53, 54, 55, 59, 62, 64 ], [ 2, 3, 4, 8, 9, 12, 13, 15, 16, 17, 18, 23, 24, 26, 27, 30, 34, 38, 39, 44, 47, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 24, 26, 27, 32, 34, 36, 41, 43, 45, 47, 51, 54, 56, 57, 58, 60, 62, 63 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 23, 24, 26, 27, 32, 36, 41, 44, 47, 51, 53, 54, 55, 56, 57, 59, 62, 64 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 23, 24, 26, 27, 32, 34, 36, 41, 44, 47, 51, 54, 56, 57, 59, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 19, 23, 24, 27, 32, 34, 36, 40, 44, 48, 51, 54, 56, 59, 61, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 19, 23, 24, 25, 27, 32, 34, 36, 40, 44, 46, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 18, 24, 26, 27, 32, 36, 39, 43, 45, 47, 51, 53, 54, 55, 56, 58, 60, 62 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 18, 23, 24, 26, 27, 32, 36, 39, 44, 47, 51, 53, 54, 55, 56, 59, 62, 64 ], [ 2, 3, 4, 8, 9, 11, 12, 13, 16, 17, 18, 23, 24, 26, 27, 32, 34, 36, 39, 44, 47, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 3, 4, 6, 9, 12, 13, 15, 16, 17, 18, 20, 22, 27, 30, 38, 39, 42, 43, 45, 51, 52, 53, 54, 55, 58, 60, 62 ], [ 2, 3, 4, 6, 9, 12, 13, 15, 16, 17, 18, 20, 22, 23, 27, 30, 38, 39, 42, 44, 51, 52, 53, 54, 55, 59, 62, 64 ], [ 2, 3, 4, 6, 9, 12, 13, 15, 16, 17, 18, 20, 22, 23, 27, 30, 34, 38, 39, 42, 44, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 3, 4, 6, 9, 11, 12, 13, 16, 17, 18, 20, 22, 27, 32, 36, 39, 42, 43, 45, 51, 53, 54, 55, 56, 58, 60, 62 ], [ 2, 3, 4, 6, 9, 11, 12, 13, 16, 17, 18, 20, 22, 23, 27, 32, 36, 39, 42, 44, 51, 53, 54, 55, 56, 59, 62, 64 ], [ 2, 3, 4, 6, 9, 11, 12, 13, 16, 17, 18, 20, 22, 23, 27, 32, 34, 36, 39, 42, 44, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 3, 4, 5, 9, 12, 13, 14, 16, 17, 18, 20, 21, 27, 30, 37, 39, 42, 43, 45, 51, 52, 53, 54, 55, 58, 60, 62 ], [ 2, 3, 4, 5, 9, 12, 13, 14, 16, 17, 18, 20, 21, 23, 27, 30, 37, 39, 42, 44, 51, 52, 53, 54, 55, 59, 62, 64 ], [ 2, 3, 4, 5, 9, 12, 13, 14, 16, 17, 18, 20, 21, 23, 27, 30, 34, 37, 39, 42, 44, 51, 52, 54, 59, 62, 63, 64 ], [ 2, 3, 4, 5, 9, 10, 12, 13, 16, 17, 20, 21, 23, 27, 31, 36, 41, 42, 44, 51, 53, 54, 55, 56, 57, 59, 62, 64 ], [ 2, 3, 4, 5, 9, 10, 12, 13, 16, 17, 20, 21, 23, 27, 31, 34, 36, 41, 42, 44, 51, 54, 56, 57, 59, 62, 63, 64 ], [ 2, 3, 4, 5, 9, 10, 12, 13, 16, 17, 18, 20, 21, 23, 27, 31, 36, 39, 42, 44, 51, 53, 54, 55, 56, 59, 62, 64 ], [ 2, 3, 4, 5, 9, 10, 12, 13, 16, 17, 18, 20, 21, 23, 27, 31, 34, 36, 39, 42, 44, 51, 54, 56, 59, 62, 63, 64 ], [ 2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 16, 17, 18, 21, 22, 27, 32, 37, 39, 43, 45, 51, 53, 54, 55, 58, 60, 62 ], [ 2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 16, 17, 18, 21, 22, 23, 27, 32, 37, 39, 44, 51, 53, 54, 55, 59, 62, 64 ], [ 2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 16, 17, 18, 21, 22, 23, 27, 32, 34, 37, 39, 44, 51, 54, 59, 62, 63, 64 ], [ 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 16, 17, 21, 22, 23, 27, 31, 38, 41, 44, 51, 53, 54, 55, 57, 59, 62, 64 ], [ 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 16, 17, 21, 22, 23, 27, 31, 34, 38, 41, 44, 51, 54, 57, 59, 62, 63, 64 ], [ 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 16, 17, 18, 21, 22, 23, 27, 31, 38, 39, 44, 51, 53, 54, 55, 59, 62, 64 ], [ 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 16, 17, 18, 21, 22, 23, 27, 31, 34, 38, 39, 44, 51, 54, 59, 62, 63, 64 ], [ 1, 3, 4, 7, 8, 9, 13, 15, 16, 17, 20, 23, 24, 26, 27, 38, 41, 42, 44, 47, 51, 53, 54, 55, 57, 59, 62, 64 ], [ 1, 3, 4, 7, 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