loops/data/cc.tbl

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#############################################################################
##
#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 := [];