############################################################################# ## #W cc.tbl CC-loops p^2, 2p, for p odd prime G. P. Nagy / P. Vojtechovsky ## #H @(#)$Id: cc.tbl, v 3.0.0 2015/06/10 gap Exp $ ## #Y Copyright (C) 2005, G. P. Nagy (University of Szeged, Hungary), #Y P. Vojtechovsky (University of Denver, USA) ## # CC loops are activated as follows: # If n = 2p or p^2, where p is a prime, then we call a method for # cosntructing these loops. # For all other orders, we point to the library of RCC loops. LOOPS_cc_data := [ #implemented orders [ 8, 12, 16, 18, 20, 21, 24, 27], #number of nonassociative loops of given order [ 2, 3, 28, 7, 3, 1, 14, 55], #the numbers of the loops in the RCC library [ #order 8 [2,7], #order 12 [53,73,89], #order 16 [9,35,107,228,243,292,437,440,1043,1883,1936,2332,2420,2636,2645,2750,2753,2794,2797,2847,3682,3730,3739,3848,3949,4735,4904,4925], #order 18 [22,29,77,292,360,377,1133], #order 20 [453,1456,2245], #order 21 [104], #order 24 [302,1025,2119,2182,2335,3066,4569,5176,5589,5997,7495,194830,225705,243216], #order 27 [78,86,317,319,361,571,711,1080,1085,1624,1665,2217,2219,3614,3624,8579,8582,15059,15072,15503,15512,19439,23177,23214,26331,26348,52978,55027,55055,59116,59123,75864,78970,79011,83042,83104,83155,104913,106081,106144,110854,110892,110930,114102,117212,119407,134858,136370,140791,148160,148892,149330,151792,152090,152515] ] ]; # The following can be used to point to CC loops of order 2p and p^2 in the library of RCC loops. # order 6, [3] # order 9, [5,4,3] # order 10, [16] # order 14, [97] # order 22, [10346] # order 25, [86,93,118] # order 26, [151964]