379 lines
12 KiB
Plaintext
379 lines
12 KiB
Plaintext
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#############################################################################
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##
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#W steiner.tbl Small Steiner loops G. P. Nagy / P. Vojtechovsky
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##
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#H @(#)$Id: steiner.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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# (PROG) The data below represent blocks of Steiner triple systems.
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# The blocks and their names are taken from Colbourn, Rosa: Triple Systems.
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LOOPS_steiner_data := [
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# implemented orders
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[ 4, 8, 10, 14, 16],
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# number of loops of given order
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[ 1, 1, 1, 2, 80],
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# the loops
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[
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# order 4
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[
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#4,1
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[ "0",
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"1",
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"2" ]
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],
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# order 8
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[
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#8,1
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[ "0001123",
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"1242534",
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"3654656" ]
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],
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# order 10
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[
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#10,1
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[ "000011122236",
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"134534534547",
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"268787676858" ]
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],
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# order 14
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[
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#14,1
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[ "00000011111222223334445556",
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"13579b3469a3467867868a7897",
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"2468ac578bc95acbbacc9bbac9" ],
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#14,2
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[ "00000011111222223334445556",
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"13579b3469a3467867868a7897",
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"2468ac578bc95abcbcac9babc9" ]
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],
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# order 16
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[
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#16,1
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbcdecbeddebcedcb" ],
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#16,2
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbcdecbededcbdebc" ],
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#16,3
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbcdedebcedcbcbed" ],
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#16,4
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbcdedbecedcbcebd" ],
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#16,5
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbceddecbcbdeedbc" ],
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#16,6
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbceddecbcdbeebdc" ],
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#16,7
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[ "00000001111112222223333444455556666",
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"13579bd3478bc3478bc789a789a789a789a",
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"2468ace569ade65a9edbdececbdcedbdbce" ],
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#16,8
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c78ab789a789a789a",
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"2468ace569ade65abedc9deedcbdebcbcde" ],
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#16,9
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c78ab789a789a789a",
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"2468ace569ade65abedc9deedbcdecbbcde" ],
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#16,10:
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c78ab789a789a789a",
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"2468ace569ade65abedc9deedcbdcbebedc" ],
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#16,11
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c789a789a78ab789a",
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"2468ace569ade65abedcdbeecdbd9cebecd" ],
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#16,12
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c789a789a789a78ab",
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"2468ace569ade65abedcdbeecdbbecdd9ce" ],
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#16,13
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c789a789a78ab789a",
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"2468ace569ade65abedcebdedcbd9cebcde" ],
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#16,14:
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789c789a78ab789a789a",
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"2468ace569ade65abedcebdd9ceedcbbcde" ],
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#16,15:
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789a78ac789a789b789a",
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"2468ace569ade65bcdee9bddbecadcecebd" ],
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#16,16
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789a789a78bc789a789a",
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"2468ace569ade65bcdeedcba9eddebccbed" ],
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#16,17
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789a789a789c78ab789a",
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"2468ace569ade65bcdeedcbabedd9cecebd" ],
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#16,18
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789a78ac789b789a789a",
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"2468ace569ade65bcede9bdadcedebccbde" ],
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#16,19
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789a789a78ab789c789a",
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"2468ace569ade65bdceebdcc9deaebddceb" ],
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#16,20
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[ "00000001111112222223333444455556666",
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"13579bd3478bc34789a78ac789b789a789a",
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"2468ace569ade65bdece9bdacdedbcecebd" ],
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#16,21
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[ "00000001111112222223333444455556666",
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"13579bd3478ac34789b789a789a78ab789c",
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"2468ace569bde65acedbdcecedbd9ceeabd" ],
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#16,22
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[ "00000001111112222223333444455556666",
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"13579bd3478ac34789b789a789c789a78ab",
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"2468ace569bde65acedbdceeabdcedbd9ce" ],
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#16,23
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589c789a58ab789789aa",
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"2468ace569ade67abedcdbed9cebececdbd" ],
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#16,24
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589c789a589a78978aba",
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"2468ace569ade67abedcdbebecdecdd9ceb" ],
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#16,25
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589c789a589a78978aba",
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"2468ace569ade67abedcedbecbdbdcd9cee" ],
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#16,26
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[ "00000001111112222223333444455566667",
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"13579bd3478bc3458ac789a589a789789ab",
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"2468ace569ade67b9edcbededbcacddecbe" ],
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#16,27
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a78ab589c789789aa",
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"2468ace569ade67bcded9ceaebdcdeebcdb" ],
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#16,28
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a78ab589c789789aa",
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"2468ace569ade67bcedd9ceaebdedccbdeb" ],
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#16,29
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a789a58bc789789aa",
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"2468ace569ade67bcedebdca9eddeccdbeb" ],
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#16,30
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a78ab589c789789aa",
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"2468ace569ade67bdced9ceabedcedecbdb" ],
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#16,31
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a789a58bc789789aa",
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"2468ace569ade67bdcedbeca9edcedecbdb" ],
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#16,32
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a78ab589c789789aa",
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"2468ace569ade67bdcec9deaebddceebdcb" ],
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#16,33
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a78ab589c789789aa",
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"2468ace569ade67bdecc9deaebdecddbceb" ],
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#16,34
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[ "00000001111112222223333444455566667",
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"13579bd3478bc34589a789a589c78978baa",
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"2468ace569ade67bdecdbceaebdecdc9edb" ],
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#16,35
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a689a579a78a789bc",
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"2468ace569ade78bcdedbecedcbc9daebed" ],
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#16,36
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a689a579a78a789bc",
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"2468ace569ade78bceddbceecdbd9caebed" ],
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#16,37
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ab579c78978aa9",
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"2468ace569ade78bced9dceaebdceddbebc" ],
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#16,38
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ab579a78978ac9",
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"2468ace569ade78bdce9cdecedbadebecdb" ],
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#16,39
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ab579c78978aa9",
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"2468ace569ade78bdce9dceabedecdcebdb" ],
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#16,40
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a689a579a78a789bc",
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"2468ace569ade78bdcecbedecdbd9caebed" ],
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#16,41
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a689c57ab78a789a9",
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"2468ace569ade78bdceabed9dceecdcebbd" ],
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#16,42
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ab579c78978aa9",
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"2468ace569ade78bdec9cdeaebddeccbebd" ],
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#16,43
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ac579b78978aa9",
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"2468ace569ade78bdec9ebdacdeedcbcedb" ],
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#16,44
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a689a579a78a789bc",
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"2468ace569ade78bdeccbdeedcbc9daebed" ],
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#16,45
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ac579a78978ab9",
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"2468ace569ade78becd9bededbcacdcdbee" ],
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#16,46
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ab579c78978aa9",
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"2468ace569ade78becd9dceabedceddcbeb" ],
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#16,47
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34569a68ab579c78978aa9",
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"2468ace569ade78bedc9cdeabeddeccdbeb" ],
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#16,48
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34568a69ab578c78979aa9",
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"2468ace569ade79becd8dceabedcdedcbeb" ],
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#16,49
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[ "00000001111112222223333444455566679",
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"13579bd3478bc34568a689a578a78978abc",
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"2468ace569ade79becddebccdbeadec9bed" ],
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#16,50
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34568a69ac578a78979ab9",
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"2468ace569ade79becd8bededbcadccdbee" ],
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#16,51
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34568968ab579c79a78aa9",
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"2468ace569ade7abecd9dce8ebddcecbdbe" ],
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#16,52
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[ "00000001111112222223333444455566678",
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"13579bd3478bc345689689a579c79a78aab",
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"2468ace569ade7abecdcdeb8ebddceb9dce" ],
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#16,53
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[ "00000001111112222223333444455566678",
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"13579bd3478bc345689689a579c79a78aab",
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"2468ace569ade7abecdbdec8ebddcec9dbe" ],
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#16,54
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[ "00000001111112222223333444455566679",
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"13579bd3478bc345689689a578c78a78aab",
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"2468ace569ade7abecdbecd9ebdcded9cbe" ],
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#16,55
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34568969ab578c78a79aa9",
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"2468ace569ade7abecd8cde9ebdcdedbcbe" ],
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#16,56
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[ "00000001111112222223333444455566678",
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"13579bd3478bc345689689a579c79a78aab",
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"2468ace569ade7abedcdceb8ebdcdeb9cde" ],
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#16,57
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[ "00000001111112222223333444455566678",
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"13579bd3478bc34568968ab579c79a78aa9",
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"2468ace569ade7abedc9cde8ebdcdedbcbe" ],
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#16,58
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[ "00000001111112222223333444455566678",
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"13579bd3478bc345689689a579c79a78aab",
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"2468ace569ade7abedcbced8ebdcded9cbe" ],
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#16,59
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[ "0000000111111222222333344445556667a",
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"13579bd3478bc345689689a578a789789cb",
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"2468ace569ade7ebacdcbeddb9caecedbde" ],
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#16,60
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[ "0000000111111222222333344445556667a",
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"13579bd3478bc34568968a9578a789789cb",
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"2468ace569ade7ebacddecbcb9dadeebcde" ],
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#16,61
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[ "00000001111112222223333444455556666",
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"13579bd3478ac34789b789c789a78ab789a",
|
||
|
|
"2468ace569bde65aecdbaedecdbd9cecdbe" ],
|
||
|
|
#16,62
|
||
|
|
[ "00000001111112222223333444455566667",
|
||
|
|
"13579bd3478ac34589b78ab589a789789ca",
|
||
|
|
"2468ace569bde67adcec9edbedcdceeabdb" ],
|
||
|
|
#16,63
|
||
|
|
[ "00000001111112222223333444455566667",
|
||
|
|
"13579bd3478ac34589b78ab589a789789ca",
|
||
|
|
"2468ace569bde67aecdd9cebcdecdeeabdb" ],
|
||
|
|
#16,64
|
||
|
|
[ "00000001111112222223333444455566667",
|
||
|
|
"13579bd3478ac34589a789a589b78b789ca",
|
||
|
|
"2468ace569bde67cdbeecdbaecdd9ebaedc"],
|
||
|
|
#16,65
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34569b68ac579a789789ba",
|
||
|
|
"2468ace569bde78dacee9bdbedcacecdbde" ],
|
||
|
|
#16,66
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34568968ac579a79b789ba",
|
||
|
|
"2468ace569bde7bdacee9bd8edcacecdbde" ],
|
||
|
|
#16,67
|
||
|
|
[ "00000001111112222223333444455566679",
|
||
|
|
"13579bd3478ac34568a68ac578b789789ab",
|
||
|
|
"2468ace569bde79cbdee9bdaecdbeddacce" ],
|
||
|
|
#16,68
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34569b68ac579a789789ba",
|
||
|
|
"2468ace569bde78adcee9bdbedccdeacbde" ],
|
||
|
|
#16,69
|
||
|
|
[ "00000001111112222223333444455566679",
|
||
|
|
"13579bd3478ac3456a868ac578b789789ab",
|
||
|
|
"2468ace569bde79bcede9bdaecddecbadce" ],
|
||
|
|
#16,70
|
||
|
|
[ "0000000111111222222333344445556667a",
|
||
|
|
"13579bd3478ac34568968ab5789789789cb",
|
||
|
|
"2468ace569bde7dbaece9cdceabadebcdde" ],
|
||
|
|
#16,71
|
||
|
|
[ "0000000111111222222333344445556667a",
|
||
|
|
"13579bd3478ac34568968ab5789789789cb",
|
||
|
|
"2468ace569bde7cabdee9cddeabbecacdde" ],
|
||
|
|
#16,72
|
||
|
|
[ "0000000111111222222333344445556667a",
|
||
|
|
"13579bd3478ac34568968ab5789789789cb",
|
||
|
|
"2468ace569bde7dcbaee9cdaecbbedadcde" ],
|
||
|
|
#16,73
|
||
|
|
[ "00000001111112222223333444455566679",
|
||
|
|
"13579bd3478ac34568a689a578b78c789ab",
|
||
|
|
"2468ace569bde7c9bdeecdbae9dbeddacce" ],
|
||
|
|
#16,74
|
||
|
|
[ "0000000111111222222333344445556667a",
|
||
|
|
"13579bd3478ac345698689a578b789789cb",
|
||
|
|
"2468ace569bde7abdecedbcce9daedbacde" ],
|
||
|
|
#16,75
|
||
|
|
[ "0000000111111222222333344445556667a",
|
||
|
|
"13579bd3478ac345689689a578b789789cb",
|
||
|
|
"2468ace569bde7cdbaeedbcae9dbecacdde" ],
|
||
|
|
#16,76
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34569b68ab578978979aac",
|
||
|
|
"2468ace569bde7da8cee9cdcbaedebcdbed" ],
|
||
|
|
#16,77
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34569a68ab578979b789ac",
|
||
|
|
"2468ace569bde7d8cebe9cdacebdcebaded" ],
|
||
|
|
#16,78
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34569b689c578b78a79aa9",
|
||
|
|
"2468ace569bde7ac8edeabd9cdedebbdcec" ],
|
||
|
|
#16,79
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3478ac34568b689c57ab79a789a9",
|
||
|
|
"2468ace569bde79ecadaebd8dcecdbbdeec" ],
|
||
|
|
#16,80
|
||
|
|
[ "00000001111112222223333444455566678",
|
||
|
|
"13579bd3469ac34578b678a58ab78979c9a",
|
||
|
|
"2468ace578bde96aecdbcded9cebecaeddb" ]
|
||
|
|
]
|
||
|
|
# end of the loops
|
||
|
|
]
|
||
|
|
];
|