43 lines
2.1 KiB
Plaintext
43 lines
2.1 KiB
Plaintext
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#############################################################################
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##
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#W interesting.tbl Interesting small loops G. P. Nagy / P. Vojtechovsky
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##
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#H @(#)$Id: interesting.tbl, v 3.1.0 2015/09/23 gap Exp $
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##
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#Y Copyright (C) 2004, 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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LOOPS_interesting_data := [
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# implemented orders
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[ 5, 6, 16, 32, 96],
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# numbers of loop of given order
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[ 1, 1, 1, 1, 1],
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# the loops
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[
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# order 5
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[
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[ "0423431020413102", "<interesting loop of order 5>" ]
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],
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# order 6
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[
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[ "3520450431041522351041023", "<interesting nilpotent loop of order 6>" ]
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],
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# order 16
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[
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[ "045237698CDABFE4061735BDE8F9AC5607124AC8E9FBD2170653EFBADC893716042FEDCBA987325401CA9F8EDB6543210DBF9E8CA9ABCDEF012345678CDABFE10452376C8E9FBD24061735DE8F9AC35607124A9F8EDB42170653BF9E8CA53716042FBADC8967325401EDCBA9876543210",
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"<interesting left Bol loop of order 16>"]
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],
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# order 32
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[
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[ "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",
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"<interesting sedenion loop of order 32>"]
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],
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# order 96
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[
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[ "", "<interesting simple right Bol loop of exponent 2 and order 96>"]
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]
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# end of the loops
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]
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];
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