### 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 [64,160]. 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 [64,160].
    
    
# 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(64,160));' can be 
# used to create a list e of the elements of the group [64,160].
# In our list of (64,28,12) DSs in group [64,160], we have [1, 
# 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 30, 
# 35, 36, 40, 44, 49, 50, 51, 53, 57, 58, 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[15], e[18], e[22], e[30], e[35], 
# e[36], e[40], e[44], e[49], e[50], e[51], e[53], e[57], e[58], e[60], e[63], e[64]]
# where e is the list of the elements of the group [64,160] as they 
# appear when one uses the GAP command 'e:=Elements(SmallGroup(96,10))(64,160));'
    
    
###########################  
###########################  
###########################  
  
### List of all (64,28,12) difference sets and the nonisomorphic symmetric (64,28,12) designs
### that rise from these DSs in group [64, 160]
  
  
  
### The number of inequivalent (64,28,12) DSs in group [64,160] is 3192
### The list of all inequivalent (64,28,12) DSs in group [64,160] is 
  
  
DS160:=[ [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 30, 35, 36, 40, 44, 49, 50, 51, 53, 57, 58, 60, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 29, 30, 36, 40, 44, 49, 53, 54, 55, 57, 58, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 28, 30, 35, 36, 40, 44, 50, 53, 57, 58, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 27, 28, 35, 36, 40, 44, 52, 53, 57, 58, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 23, 30, 35, 36, 40, 43, 45, 49, 50, 51, 53, 57, 59, 63 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 23, 29, 30, 36, 40, 43, 45, 49, 53, 54, 55, 57, 59, 62 ], [ 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 18, 22, 23, 28, 30, 35, 36, 40, 43, 45, 50, 53, 57, 59, 62, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 16, 17, 18, 22, 23, 25, 31, 36, 39, 43, 44, 46, 47, 53, 54, 55, 56, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 22, 23, 26, 31, 37, 41, 43, 44, 46, 53, 54, 55, 56, 57, 58, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 22, 23, 26, 31, 34, 37, 41, 43, 44, 46, 54, 56, 57, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 22, 23, 25, 31, 35, 37, 41, 43, 47, 53, 56, 57, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 22, 23, 25, 31, 35, 37, 41, 43, 44, 47, 53, 56, 57, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 18, 22, 23, 26, 31, 37, 39, 43, 44, 46, 53, 54, 55, 56, 58, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 18, 22, 23, 26, 31, 34, 37, 39, 43, 44, 46, 54, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 18, 22, 23, 25, 31, 35, 37, 39, 44, 46, 47, 53, 56, 58, 59, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 18, 22, 23, 25, 31, 35, 37, 39, 43, 47, 53, 56, 60, 61, 63, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 18, 22, 23, 25, 31, 35, 37, 39, 43, 44, 47, 53, 56, 58, 61, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 22, 23, 25, 30, 37, 39, 43, 47, 49, 50, 51, 52, 60, 61, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 22, 23, 25, 30, 37, 39, 43, 44, 47, 49, 50, 51, 52, 58, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 22, 23, 25, 28, 30, 37, 39, 43, 47, 50, 52, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 22, 23, 25, 28, 30, 37, 39, 43, 44, 47, 50, 52, 58, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 15, 22, 24, 26, 27, 28, 30, 33, 37, 39, 40, 41, 47, 49, 52, 55, 56, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 15, 22, 24, 26, 27, 28, 30, 33, 34, 37, 39, 40, 41, 47, 49, 52, 53, 56 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 15, 18, 22, 24, 26, 27, 28, 30, 33, 37, 40, 47, 49, 52, 55, 56, 57, 63 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 15, 18, 22, 24, 26, 27, 28, 30, 33, 34, 37, 40, 47, 49, 52, 53, 56, 57 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 29, 31, 37, 39, 43, 46, 47, 48, 49, 52, 60, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 29, 31, 37, 39, 43, 44, 46, 47, 48, 49, 52, 58, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 26, 31, 37, 39, 43, 46, 49, 50, 51, 52, 60, 61, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 26, 31, 37, 39, 43, 44, 46, 49, 50, 51, 52, 58, 61 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 26, 28, 31, 37, 39, 43, 46, 50, 52, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 16, 17, 18, 22, 23, 26, 28, 31, 37, 39, 43, 44, 46, 50, 52, 58, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 16, 22, 24, 26, 27, 28, 30, 31, 33, 34, 36, 39, 40, 41, 47, 53, 56, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 21, 23, 30, 35, 36, 39, 40, 41, 44, 45, 49, 50, 51, 53, 60, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 21, 23, 30, 34, 35, 36, 39, 40, 41, 45, 49, 50, 51, 55, 58, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 21, 23, 29, 30, 34, 36, 39, 40, 41, 44, 45, 49, 54, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 21, 23, 28, 30, 35, 36, 39, 40, 41, 44, 45, 50, 53, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 21, 23, 28, 30, 34, 35, 36, 39, 40, 41, 45, 50, 55, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 21, 23, 28, 29, 30, 34, 36, 39, 40, 41, 45, 51, 54, 58, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 19, 21, 23, 30, 34, 35, 36, 39, 44, 49, 50, 51, 55, 57, 59, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 19, 21, 23, 28, 30, 34, 35, 36, 39, 50, 55, 57, 58, 59, 60, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 19, 21, 23, 28, 29, 30, 36, 39, 51, 53, 54, 55, 57, 58, 59, 60 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 19, 21, 23, 28, 29, 30, 36, 39, 44, 51, 53, 54, 55, 57, 59, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 19, 21, 23, 28, 29, 30, 34, 36, 39, 51, 54, 57, 58, 59, 60, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 19, 21, 23, 28, 29, 30, 34, 36, 39, 44, 51, 54, 57, 59, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 28, 29, 30, 34, 35, 36, 40, 41, 43, 45, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 28, 29, 30, 34, 35, 36, 40, 41, 43, 44, 45, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 30, 35, 36, 40, 44, 45, 49, 50, 51, 53, 57, 60, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 30, 35, 36, 40, 41, 45, 49, 50, 53, 55, 58, 60, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 30, 34, 35, 36, 40, 45, 49, 50, 51, 55, 57, 58, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 30, 34, 35, 36, 40, 41, 44, 45, 49, 50, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 29, 30, 36, 40, 44, 45, 49, 53, 54, 55, 57, 60, 62 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 28, 30, 35, 36, 40, 44, 45, 50, 53, 57, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 28, 30, 35, 36, 40, 41, 45, 50, 51, 53, 55, 58, 60 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 28, 30, 34, 35, 36, 40, 45, 50, 55, 57, 58, 62, 64 ], [ 1, 2, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 18, 21, 23, 28, 30, 34, 35, 36, 40, 41, 44, 45, 50, 51, 63, 64 ], [ 1, 2, 3, 4, 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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 33, 34, 36, 39, 47, 49, 53, 54, 56, 59, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 33, 34, 36, 38, 44, 47, 48, 54, 55, 57, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 33, 34, 36, 38, 39, 47, 48, 49, 53, 54, 55, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 33, 34, 35, 36, 44, 45, 47, 55, 56, 57, 61, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 33, 34, 35, 36, 39, 45, 47, 49, 53, 55, 56, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 29, 36, 43, 47, 49, 50, 51, 55, 56, 57, 58, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 28, 29, 34, 36, 39, 43, 47, 49, 50, 56, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 27, 28, 36, 38, 44, 47, 48, 50, 51, 57, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 26, 27, 28, 36, 38, 39, 47, 48, 49, 50, 51, 53, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 25, 26, 35, 38, 45, 47, 49, 53, 54, 55, 56, 57, 58, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 25, 26, 33, 34, 38, 39, 43, 44, 47, 54, 55, 56, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 25, 26, 27, 28, 38, 39, 43, 44, 47, 50, 51, 56, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 24, 28, 29, 38, 47, 49, 50, 53, 56, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 23, 26, 36, 44, 45, 47, 55, 56, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 23, 26, 36, 38, 44, 45, 47, 48, 57, 58, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 23, 26, 36, 38, 39, 45, 47, 48, 49, 53, 58, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 23, 26, 34, 36, 39, 44, 45, 47, 49, 56, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 25, 42, 45, 48, 49, 51, 53, 57, 58, 60, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 25, 34, 39, 41, 42, 45, 48, 53, 57, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 25, 27, 42, 43, 45, 48, 50, 51, 53, 57, 59, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 24, 42, 43, 45, 47, 49, 51, 53, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 24, 33, 35, 39, 41, 42, 47, 53, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 24, 33, 34, 39, 41, 42, 45, 47, 54, 57, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 22, 24, 27, 42, 45, 47, 50, 51, 53, 57, 58, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 20, 26, 27, 41, 42, 44, 47, 50, 51, 58, 59, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 20, 22, 26, 33, 39, 41, 44, 47, 48, 54, 55, 57, 59, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 20, 22, 26, 27, 29, 44, 45, 47, 48, 57, 58, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 20, 22, 26, 27, 28, 39, 44, 47, 48, 50, 53, 59, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 20, 22, 23, 26, 28, 39, 45, 47, 48, 49, 53, 59, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 30, 33, 38, 40, 41, 44, 49, 52, 54, 56, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 25, 32, 35, 38, 40, 45, 49, 52, 53, 54, 56, 57, 58 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 24, 38, 39, 40, 41, 44, 47, 49, 56, 57, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 22, 25, 33, 40, 42, 43, 48, 49, 54, 55, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 22, 24, 40, 42, 43, 47, 49, 53, 55, 57, 60, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 19, 22, 23, 25, 33, 35, 40, 42, 48, 49, 57, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 20, 26, 33, 41, 42, 47, 54, 55, 57, 58, 59, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 20, 26, 33, 34, 39, 41, 42, 47, 49, 54, 59, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 20, 26, 27, 28, 42, 47, 50, 53, 58, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 25, 32, 35, 38, 40, 41, 43, 44, 52, 54, 56, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 22, 25, 33, 35, 40, 41, 42, 48, 53, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 22, 25, 33, 34, 40, 41, 42, 45, 48, 54, 61, 62, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 22, 24, 34, 40, 41, 42, 45, 47, 53, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 20, 22, 26, 40, 41, 44, 47, 48, 53, 55, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 26, 36, 38, 40, 41, 44, 47, 48, 57, 59, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 26, 36, 38, 39, 40, 41, 47, 48, 49, 53, 59, 60 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 25, 26, 38, 39, 40, 41, 43, 44, 47, 56, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 25, 34, 35, 37, 39, 45, 48, 53, 54, 61, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 25, 33, 34, 37, 43, 48, 49, 53, 54, 55, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 25, 27, 28, 37, 43, 48, 49, 50, 51, 53, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 23, 25, 37, 43, 45, 48, 49, 53, 57, 58, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 23, 25, 33, 34, 35, 37, 48, 49, 53, 57, 61, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 23, 25, 32, 37, 39, 45, 49, 51, 52, 59, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 19, 23, 25, 32, 34, 37, 39, 40, 49, 52, 53, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 18, 30, 33, 37, 41, 43, 49, 52, 53, 54, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 18, 25, 32, 33, 37, 39, 52, 54, 55, 57, 59, 60, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 18, 25, 32, 33, 35, 37, 39, 45, 52, 57, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 30, 34, 37, 40, 43, 49, 52, 53, 55, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 25, 37, 40, 41, 43, 48, 49, 53, 57, 60, 61 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 25, 32, 37, 40, 52, 53, 55, 59, 60, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 29, 30, 34, 37, 41, 44, 49, 50, 52, 56, 59, 60, 61, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 25, 32, 35, 37, 39, 41, 43, 44, 52, 54, 56, 57, 62, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 25, 29, 32, 37, 39, 43, 44, 50, 52, 56, 60, 62, 63, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 25, 28, 29, 37, 48, 49, 50, 53, 56, 57, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 30, 34, 37, 40, 41, 44, 49, 52, 55, 56, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 19, 25, 37, 39, 40, 41, 44, 48, 49, 56, 57, 59, 61, 63 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 29, 30, 32, 38, 45, 48, 49, 50, 53, 57, 58, 60, 64 ], [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 19, 30, 32, 38, 40, 45, 48, 49, 53, 55, 57, 58, 63 ] ];
  
  
### The number of nonisomorphic symmetric (64,28,12) designs that rise from these DSs is 1786
### These  nonisomorphic symmetric (64,28,12) designs are the ones that rise from the following DSs: 
### DS160[2], DS160[4], DS160[5], DS160[6], DS160[8], DS160[10], DS160[15], DS160[19], DS160[24], DS160[26], DS160[29], DS160[32], DS160[35], DS160[37], DS160[38], DS160[42], DS160[45], DS160[48], DS160[50], DS160[57], DS160[58], DS160[61], DS160[62], DS160[67], DS160[68], DS160[69], DS160[72], DS160[76], DS160[81], DS160[82], DS160[83], DS160[84], DS160[87], DS160[102], DS160[107], DS160[117], DS160[118], DS160[120], DS160[130], DS160[136], DS160[140], DS160[142], DS160[146], DS160[148], DS160[153], DS160[155], DS160[157], DS160[161], DS160[162], DS160[164], DS160[165], DS160[167], DS160[169], DS160[170], DS160[171], DS160[182], DS160[183], DS160[186], DS160[190], DS160[192], DS160[196], DS160[197], DS160[198], DS160[201], DS160[221], DS160[222], DS160[230], DS160[233], DS160[234], DS160[235], DS160[236], DS160[237], DS160[238], DS160[239], DS160[240], DS160[241], DS160[247], DS160[248], DS160[250], DS160[251], DS160[252], DS160[262], DS160[265], DS160[266], DS160[267], DS160[268], DS160[269], DS160[270], DS160[272], DS160[279], DS160[284], DS160[285], DS160[290], DS160[293], DS160[294], DS160[300], DS160[301], DS160[303], DS160[309], DS160[313], DS160[320], DS160[322], DS160[323], DS160[326], DS160[332], DS160[342], DS160[345], DS160[346], DS160[351], DS160[356], DS160[359], DS160[361], DS160[365], DS160[369], DS160[372], DS160[380], DS160[381], DS160[382], DS160[386], DS160[388], DS160[394], DS160[395], DS160[396], DS160[399], DS160[400], DS160[408], DS160[409], DS160[430], DS160[434], DS160[436], DS160[437], DS160[440], DS160[443], DS160[447], DS160[453], DS160[457], DS160[460], DS160[462], DS160[483], DS160[491], DS160[495], DS160[496], DS160[498], DS160[509], DS160[513], DS160[518], DS160[519], DS160[526], DS160[527], DS160[528], DS160[537], DS160[538], DS160[539], DS160[548], DS160[549], DS160[550], DS160[551], DS160[552], DS160[553], DS160[554], DS160[563], DS160[564], DS160[574], DS160[575], DS160[576], DS160[581], DS160[590], DS160[595], DS160[600], DS160[601], DS160[603], DS160[605], DS160[606], DS160[610], DS160[612], DS160[633], DS160[634], DS160[643], DS160[644], DS160[646], DS160[654], DS160[656], DS160[658], DS160[659], DS160[662], DS160[668], DS160[670], DS160[674], DS160[676], DS160[677], DS160[678], DS160[683], DS160[686], DS160[690], DS160[691], DS160[692], DS160[693], DS160[699], DS160[712], DS160[714], DS160[715], DS160[719], DS160[722], DS160[723], DS160[731], DS160[732], DS160[733], DS160[734], DS160[735], DS160[736], DS160[737], DS160[738], DS160[739], DS160[747], DS160[750], DS160[754], DS160[756], DS160[757], DS160[758], DS160[760], DS160[765], DS160[766], DS160[767], DS160[769], DS160[770], DS160[776], DS160[777], DS160[778], DS160[784], DS160[790], DS160[793], DS160[795], DS160[815], DS160[816], DS160[819], DS160[820], DS160[821], DS160[825], DS160[826], DS160[829], DS160[830], DS160[833], DS160[837], DS160[840], DS160[841], DS160[845], DS160[846], DS160[847], DS160[848], DS160[849], DS160[850], DS160[851], DS160[853], DS160[858], DS160[860], DS160[861], DS160[868], DS160[869], DS160[871], DS160[872], DS160[883], DS160[888], DS160[892], DS160[893], DS160[894], DS160[902], DS160[903], DS160[904], DS160[905], DS160[906], DS160[907], DS160[908], DS160[910], DS160[912], DS160[923], DS160[924], DS160[926], DS160[936], DS160[937], DS160[942], DS160[943], DS160[944], DS160[945], DS160[946], DS160[947], DS160[949], DS160[950], DS160[953], DS160[954], DS160[958], DS160[959], DS160[960], DS160[961], DS160[962], DS160[966], DS160[971], DS160[974], DS160[988], DS160[994], DS160[998], DS160[999], DS160[1005], DS160[1014], DS160[1016], DS160[1025], DS160[1027], DS160[1034], DS160[1036], DS160[1037], DS160[1038], DS160[1057], DS160[1059], DS160[1060], DS160[1061], DS160[1064], DS160[1065], DS160[1066], DS160[1068], DS160[1074], DS160[1081], DS160[1082], DS160[1083], DS160[1084], DS160[1085], DS160[1087], DS160[1089], DS160[1090], DS160[1091], DS160[1092], DS160[1093], DS160[1094], DS160[1096], DS160[1097], DS160[1099], DS160[1100], DS160[1111], DS160[1115], DS160[1116], DS160[1117], DS160[1119], DS160[1120], DS160[1121], DS160[1124], DS160[1126], DS160[1129], DS160[1130], DS160[1138], DS160[1141], DS160[1144], DS160[1147], DS160[1148], DS160[1149], DS160[1153], DS160[1162], DS160[1163], DS160[1165], DS160[1167], DS160[1170], DS160[1176], DS160[1182], DS160[1183], DS160[1184], DS160[1186], DS160[1187], DS160[1188], DS160[1189], DS160[1190], DS160[1191], DS160[1195], DS160[1196], DS160[1200], DS160[1207], DS160[1208], DS160[1209], DS160[1210], DS160[1211], DS160[1212], DS160[1213], DS160[1214], DS160[1217], DS160[1218], DS160[1220], DS160[1225], DS160[1226], DS160[1227], DS160[1228], DS160[1229], DS160[1230], DS160[1231], DS160[1232], DS160[1234], DS160[1235], DS160[1236], DS160[1237], DS160[1238], DS160[1239], DS160[1240], DS160[1241], DS160[1242], DS160[1244], DS160[1246], DS160[1247], DS160[1248], DS160[1249], DS160[1250], DS160[1251], DS160[1252], DS160[1253], DS160[1254], 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DS160[3048], DS160[3049], DS160[3050], DS160[3051], DS160[3052], DS160[3053], DS160[3054], DS160[3055], DS160[3056], DS160[3057], DS160[3058], DS160[3059], DS160[3060], DS160[3061], DS160[3062], DS160[3063], DS160[3064], DS160[3065], DS160[3066], DS160[3067], DS160[3068], DS160[3069], DS160[3070], DS160[3071], DS160[3072], DS160[3073], DS160[3074], DS160[3075], DS160[3076], DS160[3077], DS160[3078], DS160[3079], DS160[3080], DS160[3081], DS160[3082], DS160[3083], DS160[3084], DS160[3085], DS160[3086], DS160[3087], DS160[3088], DS160[3089], DS160[3090], DS160[3091], DS160[3092], DS160[3093], DS160[3094], DS160[3095], DS160[3096], DS160[3097], DS160[3098], DS160[3099], DS160[3100], DS160[3101], DS160[3102], DS160[3103], DS160[3104], DS160[3105], DS160[3106], DS160[3107], DS160[3108], DS160[3109], DS160[3110], DS160[3111], DS160[3112], DS160[3113], DS160[3114], DS160[3115], DS160[3116], DS160[3117], DS160[3118], DS160[3119], DS160[3120], DS160[3121], DS160[3122], DS160[3123], DS160[3124], DS160[3125], DS160[3126], DS160[3127], DS160[3128], DS160[3129], DS160[3130], DS160[3131], DS160[3132], DS160[3133], DS160[3134], DS160[3135], DS160[3136], DS160[3137], DS160[3138], DS160[3139], DS160[3140], DS160[3141], DS160[3142], DS160[3143], DS160[3144], DS160[3145], DS160[3146], DS160[3147], DS160[3148], DS160[3149], DS160[3150], DS160[3151], DS160[3152], DS160[3153], DS160[3154], DS160[3155], DS160[3156], DS160[3157], DS160[3158], DS160[3159], DS160[3160], DS160[3161], DS160[3162], DS160[3163], DS160[3164], DS160[3165], DS160[3166], DS160[3167], DS160[3168], DS160[3169], DS160[3170], DS160[3171], DS160[3172], DS160[3173], DS160[3174], DS160[3175], DS160[3176], DS160[3177], DS160[3178], DS160[3179], DS160[3180], DS160[3181], DS160[3182], DS160[3183], DS160[3184], DS160[3185], DS160[3186], DS160[3187], DS160[3188], DS160[3189], DS160[3190], DS160[3191], DS160[3192]. 
         
         
  
# Finally, We list all inequivalent reversible (64,28,12) difference 
# sets in group [64,160].
  
  
### The number of inequivalent reversible (64,28,12) DSs in group [64,160] is 64
### The list of all inequivalent reversible (64,28,12) DSs in group [64,160] is 
  
  
RDS160:=[ [ 4, 5, 8, 9, 13, 15, 19, 20, 21, 23, 25, 27, 33, 34, 36, 38, 39, 42, 47, 51, 53, 56, 57, 58, 59, 60, 61, 62 ], [ 4, 5, 6, 8, 9, 13, 15, 18, 19, 21, 22, 23, 25, 27, 33, 34, 36, 38, 41, 47, 51, 53, 56, 58, 59, 60, 61, 62 ], [ 3, 4, 5, 8, 9, 13, 14, 16, 19, 20, 21, 23, 25, 27, 33, 34, 37, 39, 42, 47, 51, 53, 57, 58, 59, 60, 61, 62 ], [ 3, 4, 5, 6, 8, 9, 13, 14, 16, 18, 19, 21, 22, 23, 25, 27, 33, 34, 37, 41, 47, 51, 53, 58, 59, 60, 61, 62 ], [ 2, 4, 5, 8, 9, 10, 12, 13, 19, 20, 21, 23, 25, 27, 31, 33, 39, 42, 47, 51, 55, 57, 58, 59, 60, 61, 62, 63 ], [ 2, 4, 5, 8, 9, 10, 12, 13, 19, 20, 21, 23, 25, 27, 31, 33, 34, 39, 42, 47, 51, 53, 57, 58, 59, 60, 61, 62 ], [ 2, 4, 5, 8, 9, 10, 11, 19, 20, 21, 25, 27, 30, 34, 39, 42, 43, 44, 45, 47, 51, 53, 55, 57, 61, 62, 63, 64 ], [ 2, 4, 5, 8, 9, 10, 11, 19, 20, 21, 23, 27, 30, 34, 39, 42, 46, 47, 48, 51, 53, 55, 57, 58, 59, 60, 62, 63 ], [ 2, 4, 5, 8, 9, 10, 11, 19, 20, 21, 23, 25, 27, 30, 34, 39, 42, 47, 51, 53, 55, 57, 58, 59, 60, 61, 62, 63 ], [ 2, 4, 5, 8, 9, 10, 11, 15, 19, 20, 21, 25, 27, 30, 36, 38, 39, 42, 43, 44, 45, 47, 51, 56, 57, 61, 62, 64 ], [ 2, 4, 5, 8, 9, 10, 11, 15, 19, 20, 21, 23, 27, 30, 36, 38, 39, 42, 46, 47, 48, 51, 56, 57, 58, 59, 60, 62 ], [ 2, 4, 5, 8, 9, 10, 11, 15, 19, 20, 21, 23, 25, 27, 30, 36, 38, 39, 42, 47, 51, 56, 57, 58, 59, 60, 61, 62 ], [ 2, 4, 5, 8, 9, 10, 11, 13, 19, 20, 21, 25, 27, 30, 33, 35, 39, 42, 43, 44, 45, 47, 51, 54, 57, 61, 62, 64 ], [ 2, 4, 5, 8, 9, 10, 11, 13, 19, 20, 21, 23, 27, 30, 33, 35, 39, 42, 46, 47, 48, 51, 54, 57, 58, 59, 60, 62 ], [ 2, 4, 5, 8, 9, 10, 11, 13, 19, 20, 21, 23, 25, 27, 30, 33, 35, 39, 42, 47, 51, 54, 57, 58, 59, 60, 61, 62 ], [ 2, 4, 5, 6, 8, 9, 10, 12, 13, 18, 19, 21, 22, 23, 25, 27, 31, 33, 41, 47, 51, 55, 58, 59, 60, 61, 62, 63 ], [ 2, 4, 5, 6, 8, 9, 10, 12, 13, 18, 19, 21, 22, 23, 25, 27, 31, 33, 34, 41, 47, 51, 53, 58, 59, 60, 61, 62 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 18, 19, 21, 22, 25, 27, 30, 34, 41, 43, 44, 45, 47, 51, 53, 55, 61, 62, 63, 64 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 18, 19, 21, 22, 23, 27, 30, 34, 41, 46, 47, 48, 51, 53, 55, 58, 59, 60, 62, 63 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 18, 19, 21, 22, 23, 25, 27, 30, 34, 41, 47, 51, 53, 55, 58, 59, 60, 61, 62, 63 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 15, 18, 19, 21, 22, 25, 27, 30, 36, 38, 41, 43, 44, 45, 47, 51, 56, 61, 62, 64 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 15, 18, 19, 21, 22, 23, 27, 30, 36, 38, 41, 46, 47, 48, 51, 56, 58, 59, 60, 62 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 15, 18, 19, 21, 22, 23, 25, 27, 30, 36, 38, 41, 47, 51, 56, 58, 59, 60, 61, 62 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 33, 35, 41, 43, 44, 45, 47, 51, 54, 61, 62, 64 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 13, 18, 19, 21, 22, 23, 27, 30, 33, 35, 41, 46, 47, 48, 51, 54, 58, 59, 60, 62 ], [ 2, 4, 5, 6, 8, 9, 10, 11, 13, 18, 19, 21, 22, 23, 25, 27, 30, 33, 35, 41, 47, 51, 54, 58, 59, 60, 61, 62 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 14, 16, 19, 20, 21, 25, 27, 30, 37, 39, 42, 43, 44, 45, 47, 51, 57, 61, 62, 64 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 14, 16, 19, 20, 21, 23, 27, 30, 37, 39, 42, 46, 47, 48, 51, 57, 58, 59, 60, 62 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 14, 16, 19, 20, 21, 23, 25, 27, 30, 37, 39, 42, 47, 51, 57, 58, 59, 60, 61, 62 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 14, 16, 18, 19, 21, 22, 25, 27, 30, 37, 41, 43, 44, 45, 47, 51, 61, 62, 64 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 14, 16, 18, 19, 21, 22, 23, 27, 30, 37, 41, 46, 47, 48, 51, 58, 59, 60, 62 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 14, 16, 18, 19, 21, 22, 23, 25, 27, 30, 37, 41, 47, 51, 58, 59, 60, 61, 62 ], [ 1, 4, 7, 8, 9, 13, 15, 18, 19, 20, 23, 25, 27, 33, 34, 36, 38, 41, 42, 47, 51, 53, 56, 58, 59, 60, 61, 62 ], [ 1, 4, 6, 7, 8, 9, 13, 15, 19, 22, 23, 25, 27, 33, 34, 36, 38, 39, 47, 51, 53, 56, 57, 58, 59, 60, 61, 62 ], [ 1, 3, 4, 7, 8, 9, 13, 14, 16, 18, 19, 20, 23, 25, 27, 33, 34, 37, 41, 42, 47, 51, 53, 58, 59, 60, 61, 62 ], [ 1, 3, 4, 6, 7, 8, 9, 13, 14, 16, 19, 22, 23, 25, 27, 33, 34, 37, 39, 47, 51, 53, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 4, 7, 8, 9, 10, 12, 13, 18, 19, 20, 23, 25, 27, 31, 33, 41, 42, 47, 51, 55, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 4, 7, 8, 9, 10, 12, 13, 18, 19, 20, 23, 25, 27, 31, 33, 34, 41, 42, 47, 51, 53, 58, 59, 60, 61, 62 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 18, 19, 20, 25, 27, 30, 34, 41, 42, 43, 44, 45, 47, 51, 53, 55, 61, 62, 63, 64 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 18, 19, 20, 23, 27, 30, 34, 41, 42, 46, 47, 48, 51, 53, 55, 58, 59, 60, 62, 63 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 18, 19, 20, 23, 25, 27, 30, 34, 41, 42, 47, 51, 53, 55, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 15, 18, 19, 20, 25, 27, 30, 36, 38, 41, 42, 43, 44, 45, 47, 51, 56, 61, 62, 64 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 15, 18, 19, 20, 23, 27, 30, 36, 38, 41, 42, 46, 47, 48, 51, 56, 58, 59, 60, 62 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 15, 18, 19, 20, 23, 25, 27, 30, 36, 38, 41, 42, 47, 51, 56, 58, 59, 60, 61, 62 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 13, 18, 19, 20, 25, 27, 30, 33, 35, 41, 42, 43, 44, 45, 47, 51, 54, 61, 62, 64 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 13, 18, 19, 20, 23, 27, 30, 33, 35, 41, 42, 46, 47, 48, 51, 54, 58, 59, 60, 62 ], [ 1, 2, 4, 7, 8, 9, 10, 11, 13, 18, 19, 20, 23, 25, 27, 30, 33, 35, 41, 42, 47, 51, 54, 58, 59, 60, 61, 62 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 12, 13, 19, 22, 23, 25, 27, 31, 33, 39, 47, 51, 55, 57, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 12, 13, 19, 22, 23, 25, 27, 31, 33, 34, 39, 47, 51, 53, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 19, 22, 25, 27, 30, 34, 39, 43, 44, 45, 47, 51, 53, 55, 57, 61, 62, 63, 64 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 19, 22, 23, 27, 30, 34, 39, 46, 47, 48, 51, 53, 55, 57, 58, 59, 60, 62, 63 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 19, 22, 23, 25, 27, 30, 34, 39, 47, 51, 53, 55, 57, 58, 59, 60, 61, 62, 63 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 15, 19, 22, 25, 27, 30, 36, 38, 39, 43, 44, 45, 47, 51, 56, 57, 61, 62, 64 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 15, 19, 22, 23, 27, 30, 36, 38, 39, 46, 47, 48, 51, 56, 57, 58, 59, 60, 62 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 15, 19, 22, 23, 25, 27, 30, 36, 38, 39, 47, 51, 56, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 13, 19, 22, 25, 27, 30, 33, 35, 39, 43, 44, 45, 47, 51, 54, 57, 61, 62, 64 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 13, 19, 22, 23, 27, 30, 33, 35, 39, 46, 47, 48, 51, 54, 57, 58, 59, 60, 62 ], [ 1, 2, 4, 6, 7, 8, 9, 10, 11, 13, 19, 22, 23, 25, 27, 30, 33, 35, 39, 47, 51, 54, 57, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 14, 16, 18, 19, 20, 25, 27, 30, 37, 41, 42, 43, 44, 45, 47, 51, 61, 62, 64 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 14, 16, 18, 19, 20, 23, 27, 30, 37, 41, 42, 46, 47, 48, 51, 58, 59, 60, 62 ], [ 1, 2, 3, 4, 7, 8, 9, 10, 11, 14, 16, 18, 19, 20, 23, 25, 27, 30, 37, 41, 42, 47, 51, 58, 59, 60, 61, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 14, 16, 19, 22, 25, 27, 30, 37, 39, 43, 44, 45, 47, 51, 57, 61, 62, 64 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 14, 16, 19, 22, 23, 27, 30, 37, 39, 46, 47, 48, 51, 57, 58, 59, 60, 62 ], [ 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 14, 16, 19, 22, 23, 25, 27, 30, 37, 39, 47, 51, 57, 58, 59, 60, 61, 62 ] ];
  
  
  
   
   
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