51 lines
1.7 KiB
Plaintext
51 lines
1.7 KiB
Plaintext
#############################################################################
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##
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#W cc.tbl CC-loops p^2, 2p, for p odd prime G. P. Nagy / P. Vojtechovsky
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##
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#H @(#)$Id: cc.tbl, v 3.0.0 2015/06/10 gap Exp $
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##
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#Y Copyright (C) 2005, G. P. Nagy (University of Szeged, Hungary),
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#Y P. Vojtechovsky (University of Denver, USA)
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##
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# CC loops are activated as follows:
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# If n = 2p or p^2, where p is a prime, then we call a method for
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# cosntructing these loops.
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# For all other orders, we point to the library of RCC loops.
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LOOPS_cc_data := [
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#implemented orders
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[ 8, 12, 16, 18, 20, 21, 24, 27],
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#number of nonassociative loops of given order
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[ 2, 3, 28, 7, 3, 1, 14, 55],
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#the numbers of the loops in the RCC library
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[
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#order 8
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[2,7],
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#order 12
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[53,73,89],
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#order 16
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[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],
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#order 18
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[22,29,77,292,360,377,1133],
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#order 20
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[453,1456,2245],
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#order 21
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[104],
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#order 24
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[302,1025,2119,2182,2335,3066,4569,5176,5589,5997,7495,194830,225705,243216],
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#order 27
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[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]
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]
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];
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# The following can be used to point to CC loops of order 2p and p^2 in the library of RCC loops.
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# order 6, [3]
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# order 9, [5,4,3]
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# order 10, [16]
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# order 14, [97]
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# order 22, [10346]
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# order 25, [86,93,118]
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# order 26, [151964]
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