############################################################################# ## #W cc.tbl Library of CC loops G. P. Nagy / P. Vojtechovsky ## #H @(#)$Id: cc.tbl, v 3.4.0 2015/06/10 gap Exp $ ## #Y Copyright (C) 2005, G. P. Nagy (University of Szeged, Hungary), #Y P. Vojtechovsky (University of Denver, USA) ## ############################################################################# ## Binding global variables ## LOOPS_cc_used_factors ## LOOPS_cc_cocycles ## LOOPS_cc_bases ## LOOPS_cc_coordinates # CC loops are activated as follows: # If n = 2p, where p is an odd prime, then we call an algebraic method for # constructing these loops. # If n = p^2, where p>3 is a prime, then we call an algebraic method for # construction these loops. # If n is a power of 2 or 3, then we use cocycles located in cc/cc_cocycles_n.tbl. # For all other orders, we point to the library of RCC loops. LOOPS_cc_data := [ #implemented orders [ 2, 3, 4, 5, 7, 8, 9, 12, 16, 18, 20, 21, 24, 25, 27, 32, 49, 64, 81, 125, 343], #number of loops of given order in the library [ 1, 1, 2, 1, 1, 7, 5, 3, 42, 7, 3, 1, 14, 5, 60, 437, 5, 14854, 5406, 84, 122], [ #order 2 (Z_2) ["010"], #order 3 (Z_3) ["201"], #order 4 (placeholder only) , # order 5 (Z_5) ["2340401123"], # order 7 (Z_7) ["234560456016012123345"], #order 8 (placeholder only) , #order 9 (placeholder only) , #order 12 [53,73,89], #order 16 (placeholder only) , #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] ] ]; LOOPS_cc_used_factors := []; LOOPS_cc_cocycles := []; LOOPS_cc_bases := []; LOOPS_cc_coordinates := [];