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update to LOOPS 3.4.0

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These are simply the changes as distributed.
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Glen Whitney 2017-10-29 23:54:13 -04:00
parent 7e8b3b5562
commit f64208f12f
58 changed files with 17724 additions and 29097 deletions
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41
data/automorphic.tbl
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@ -2,39 +2,21 @@
##
#W automorphic.tbl Automorphic loops G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: automorphic.tbl, v 3.3.0 2016/10/20 gap Exp $
#H @(#)$Id: automorphic.tbl, v 3.4.0 2017/10/23 gap Exp $
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
#############################################################################
## Binding global variables
## LOOPS_automorphic_cocycles
## LOOPS_automorphic_bases
## LOOPS_automorphic_coordinates
# Many small automorphic loops are represtented by encoded Cayley tables.
#
# Commutative automorphic loops of order 243 are represtented as central
# extensions of the cyclic group of order 3.
# The necessary data is only loaded on demand and consists of:
# - LOOPS_automorphic_cocycles, a list of encoded bases of the
# space of cocycles modulo coboundaries for every factor loop F needed.
# - LOOPS_automorphic_coordinates, a list that for every loop
# points to the factor loop and gives coordinates of the required cocycle
# with respect to the relevant basis.
LOOPS_automorphic_data := [
#implemented orders
[3,6,8,9,10,12,14,15,27,81,243],
[3,6,8,9,10,12,14,15,27,81],
#number of nonassociative loops of given order
[1,1,7,2,3,2,5,2,7,72,118451],
[1,1,7,2,3,2,5,2,7,72],
#the loops
[
#order 3 (Z_3)
#order 3 (Z_3, use left Bruck loops, placeholder only)
[
"201"
],
#order 6
[
@ -50,10 +32,8 @@ LOOPS_automorphic_data := [
"0325476301675421076455760132467102374523106543201",
"0325476310674520176545761023467013275432106452301"
],
#order 9 (two abelian groups)
#order 9 (two abelian groups, use left Bruck loops, placeholder only)
[
"204537861534867678012861207201345534",
"204537861534867678120862017012453345"
]
,
#order 10
@ -80,20 +60,13 @@ LOOPS_automorphic_data := [
"234068597BDAEC340189675DEBCA401297856ECDAB012375968CAEBD6897ADECB041328975DCABE430215689EABDC102439756CBDEA324107568BECAD21304BDEC0413258976DECA4302187569ABDE1024395687ECAB3241076895CABD2130469758",
"234067895BCDEA340178956CDEAB401289567DEABC012395678EABCD7968ADBEC012348579ECADB340129685DBECA123405796CADBE401236857BECAD23401DBEC0432156789ECAD3210478956ADBE1043295678BECA4321067895CADB2104389567"
],
#order 27 (commutative only, placeholder)
#order 27 (commutative only, use left Bruck loops, placeholder)
[
]
,
#order 81 (commutative only, placeholder)
[
]
,
#order 243 (commutative only, placeholder)
#order 81 (commutative only, use left Bruck loops, placeholder)
[
]
]
];
LOOPS_automorphic_cocycles := [];
LOOPS_automorphic_bases := [];
LOOPS_automorphic_coordinates := [];

8058
data/automorphic/automorphic_cocycles.tbl
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61
data/cc.tbl
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@ -1,31 +1,52 @@
#############################################################################
##
#W cc.tbl CC-loops p^2, 2p, for p odd prime G. P. Nagy / P. Vojtechovsky
#W cc.tbl Library of CC loops G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: cc.tbl, v 3.0.0 2015/06/10 gap Exp $
#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 or p^2, where p is a prime, then we call a method for
# cosntructing these loops.
# 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
[ 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
[ 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 8
[2,7],
#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
[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 16 (placeholder only)
,
#order 18
[22,29,77,292,360,377,1133],
#order 20
@ -33,18 +54,12 @@ LOOPS_cc_data := [
#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]
[302,1025,2119,2182,2335,3066,4569,5176,5589,5997,7495,194830,225705,243216]
]
];
# 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]
LOOPS_cc_used_factors := [];
LOOPS_cc_cocycles := [];
LOOPS_cc_bases := [];
LOOPS_cc_coordinates := [];