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#############################################################################
##
#W automorphic.tbl Automorphic loops G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: automorphic.tbl, v 3.3.0 2016/10/20 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],
#number of nonassociative loops of given order
[1,1,7,2,3,2,5,2,7,72,118451],
#the loops
[
#order 3 (Z_3)
[
"201"
],
#order 6
[
"2045301534540123520143120"
],
#order 8
[
"0325476301674521076545670132476102374532016542310",
"0325476301674521076545670312476302174512036542130",
"0325476301674521076545671023476013274523106543201",
"0325476301675421076455671023476013275423106453201",
"0325476301675421076455760123467103274532106542301",
"0325476301675421076455760132467102374523106543201",
"0325476310674520176545761023467013275432106452301"
],
#order 9 (two abelian groups)
[
"204537861534867678012861207201345534",
"204537861534867678120862017012453345"
]
,
#order 10
[
"234067895340178956401289567012395678987601234598740123659834012765923401876512340",
"234067895340178956401289567012395678987603142598720314659842031765914203876531420",
"234067895340178956401289567012395678987602413598730241659813024765941302876524130"
],
#order 12
[
"23450789AB63450189AB67450129AB67850123AB678901234B6789ABA9870123456BA9850123476BA9450123876BA3450129876B234501A9876123450",
"23450789AB63450189AB67450129AB67850123AB678901234B6789ABA9873450126BA9823450176BA9123450876BA0123459876B501234A9876450123"
],
#order 14
[
"23456089ABCD73456019ABCD78456012ABCD789560123BCD789A601234CD789AB012345D789ABCDCBA9801234567DCBA9601234587DCBA5601234987DCB4560123A987DC3456012BA987D2345601CBA9871234560",
"23456089ABCD73456019ABCD78456012ABCD789560123BCD789A601234CD789AB012345D789ABCDCBA9804152637DCBA9304152687DCBA6304152987DCB2630415A987DC5263041BA987D1526304CBA9874152630",
"23456089ABCD73456019ABCD78456012ABCD789560123BCD789A601234CD789AB012345D789ABCDCBA9805316427DCBA9205316487DCBA4205316987DCB6420531A987DC1642053BA987D3164205CBA9875316420",
"23456089ABCD73456019ABCD78456012ABCD789560123BCD789A601234CD789AB012345D789ABCDCBA9802461357DCBA9502461387DCBA3502461987DCB1350246A987DC6135024BA987D4613502CBA9872461350",
"23456089ABCD73456019ABCD78456012ABCD789560123BCD789A601234CD789AB012345D789ABCDCBA9803625147DCBA9403625187DCBA1403625987DCB5140362A987DC2514036BA987D6251403CBA9873625140"
],
#order 15
[
"234068597BDAEC340189675DEBCA401297856ECDAB012375968CAEBD6897ADECB041328975DCABE430215689EABDC102439756CBDEA324107568BECAD21304BDEC0413258976DECA4302187569ABDE1024395687ECAB3241076895CABD2130469758",
"234067895BCDEA340178956CDEAB401289567DEABC012395678EABCD7968ADBEC012348579ECADB340129685DBECA123405796CADBE401236857BECAD23401DBEC0432156789ECAD3210478956ADBE1043295678BECA4321067895CADB2104389567"
],
#order 27 (commutative only, placeholder)
[
]
,
#order 81 (commutative only, placeholder)
[
]
,
#order 243 (commutative only, placeholder)
[
]
]
];
LOOPS_automorphic_cocycles := [];
LOOPS_automorphic_bases := [];
LOOPS_automorphic_coordinates := [];

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#############################################################################
##
#W cc.tbl CC-loops p^2, 2p, for p odd prime G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: cc.tbl, v 3.0.0 2015/06/10 gap Exp $
##
#Y Copyright (C) 2005, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
# 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.
# 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
[
#order 8
[2,7],
#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 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],
#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]
]
];
# 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]

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#############################################################################
##
#W code.tbl Small code loops up to isomorphism Nagy / Vojtechovsky
##
#H @(#)$Id: code.tbl, v 2.2.0 2012/06/28 gap Exp $
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
#(PROG) The data structure points to the library of Moufang loops.
# If code_data[3][a][b] = m then moufang_data[3][2^(a+1)][m] is returned.
LOOPS_code_data := [
# implemented orders
[ 16, 32, 64 ],
# number of loops of given order
[ 5, 16, 80 ],
# the loops
[
#order 16
[ 1, 2, 3, 4, 5 ],
#order 32
[ 1, 2, 3, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 ],
#order 64
[ 193, 526, 280, 774, 192, 270, 775, 881, 1106, 805, 1090, 1301, 737, 731,
630, 964, 804, 1284, 1294, 1292, 1286, 1291, 1293, 884, 1263, 1107,
1299, 1300, 1285, 883, 1082, 1302, 1287, 4255, 4262, 4253, 4260, 4254,
4261, 4246, 4256, 4249, 4258, 4227, 4234, 4223, 4231, 4251, 4240, 4236,
4242, 4252, 4241, 4243, 4235, 4222, 4230, 4216, 4217, 4220, 4218, 4226,
4232, 4245, 4239, 4221, 4224, 4228, 4238, 4248, 4225, 4233, 4219, 4229,
4244, 4237, 4250, 4259, 4257, 4247 ]
]
];

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

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#############################################################################
##
#W itp_small.tbl Small loops up to isotopism Nagy / Vojtechovsky
##
#H @(#)$Id: itp_small.tbl, v 2.2.0 2012/06/28 gap Exp $
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
#(PROG) In all itp_xxx.tbl files, the data structure points to the
# corresponding xxx.tbl file.
# For instance, itp_small_data[3][6][7] = m means that the loop
# is returned as small_data[3][6][m].
LOOPS_itp_small_data := [
# implemented orders
[ 5, 6 ],
# number of loops of given order
[ 1, 20 ],
# the loops
[
#order 5
[
1
],
#order 6
[
1,3,4,9,12,13,16,18,19,20,37,38,41,42,45,46,47,55,62,78
]
]
];

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#############################################################################
##
#W nilpotent.tbl Small nilptoent loops G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: nilpotent.tbl, v 2.2.0 2012/06/28 gap Exp $
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
LOOPS_nilpotent_data := [
#implemented orders
[6,8,9,10],
#number of nonassociative loops of given order
[2,134,8,1043],
#the loops
[
#order 6
[
[2,3,8],[2,3,4]
],
#order 8
[
[2,4,256],[2,4,128],[2,4,384],[2,4,64],[2,4,320],[2,4,192],[2,4,448],[2,4,32],
[2,4,288],[2,4,160],[2,4,416],[2,4,96],[2,4,352],[2,4,224],[2,4,480],[2,4,16],
[2,4,272],[2,4,144],[2,4,400],[2,4,80],[2,4,336],[2,4,208],[2,4,464],[2,4,48],
[2,4,304],[2,4,176],[2,4,432],[2,4,112],[2,4,368],[2,4,240],[2,4,496],[2,4,264],
[2,4,136],[2,4,392],[2,4,72],[2,4,200],[2,4,456],[2,4,40],[2,4,296],[2,4,168],
[2,4,104],[2,4,360],[2,4,488],[2,4,280],[2,4,152],[2,4,408],[2,4,88],[2,4,216],
[2,4,472],[2,4,56],[2,4,312],[2,4,184],[2,4,120],[2,4,376],[2,4,504],[2,4,260],
[2,4,132],[2,4,68],[2,4,452],[2,4,292],[2,4,164],[2,4,100],[2,4,484],[2,4,276],
[2,4,148],[2,4,84],[2,4,468],[2,4,308],[2,4,180],[2,4,116],[2,4,140],[2,4,460],
[2,4,300],[2,4,108],[2,4,156],[2,4,476],[2,4,316],[2,4,124],[2,0,256],[2,0,128],
[2,0,384],[2,0,192],[2,0,448],[2,0,288],[2,0,160],[2,0,416],[2,0,96],[2,0,352],
[2,0,224],[2,0,480],[2,0,272],[2,0,400],[2,0,80],[2,0,336],[2,0,208],[2,0,464],
[2,0,112],[2,0,368],[2,0,240],[2,0,496],[2,0,72],[2,0,328],[2,0,200],[2,0,456],
[2,0,344],[2,0,472],[2,0,504],[2,0,292],[2,0,164],[2,0,420],[2,0,484],[2,0,276],
[2,0,148],[2,0,404],[2,0,340],[2,0,468],[2,0,308],[2,0,180],[2,0,436],[2,0,372],
[2,0,140],[2,0,396],[2,0,284],[2,0,412],[2,0,316],[2,0,273],[2,0,401],[2,0,465],
[2,0,433],[2,0,369],[2,0,497],[2,0,345],[2,0,473],[2,0,437]
],
# order 9
[
[3,3,27],[3,3,9],[3,3,36],[3,3,63],[3,3,30],[3,3,57],[3,3,12],[3,3,21]
],
# order 10
[
[2,5,32768],[2,5,16384],[2,5,49152],[2,5,8192],
[2,5,40960],[2,5,24576],[2,5,57344],[2,5,4096],
[2,5,36864],[2,5,20480],[2,5,53248],[2,5,12288],
[2,5,45056],[2,5,28672],[2,5,61440],[2,5,34816],
[2,5,18432],[2,5,51200],[2,5,10240],[2,5,43008],
[2,5,26624],[2,5,59392],[2,5,6144],[2,5,38912],
[2,5,22528],[2,5,55296],[2,5,14336],[2,5,47104],
[2,5,30720],[2,5,63488],[2,5,33792],[2,5,17408],
[2,5,50176],[2,5,9216],[2,5,41984],[2,5,25600],
[2,5,58368],[2,5,5120],[2,5,21504],[2,5,54272],
[2,5,13312],[2,5,46080],[2,5,29696],[2,5,62464],
[2,5,35840],[2,5,19456],[2,5,52224],[2,5,11264],
[2,5,44032],[2,5,27648],[2,5,60416],[2,5,7168],
[2,5,39936],[2,5,23552],[2,5,56320],[2,5,15360],
[2,5,48128],[2,5,31744],[2,5,64512],[2,5,33280],
[2,5,16896],[2,5,49664],[2,5,8704],[2,5,41472],
[2,5,25088],[2,5,57856],[2,5,4608],[2,5,37376],
[2,5,20992],[2,5,53760],[2,5,12800],[2,5,45568],
[2,5,29184],[2,5,61952],[2,5,35328],[2,5,18944],
[2,5,51712],[2,5,10752],[2,5,43520],[2,5,27136],
[2,5,59904],[2,5,6656],[2,5,39424],[2,5,23040],
[2,5,55808],[2,5,14848],[2,5,47616],[2,5,31232],
[2,5,64000],[2,5,34304],[2,5,17920],[2,5,50688],
[2,5,9728],[2,5,42496],[2,5,26112],[2,5,58880],
[2,5,5632],[2,5,38400],[2,5,22016],[2,5,54784],
[2,5,13824],[2,5,46592],[2,5,30208],[2,5,62976],
[2,5,36352],[2,5,19968],[2,5,52736],[2,5,11776],
[2,5,44544],[2,5,28160],[2,5,60928],[2,5,7680],
[2,5,40448],[2,5,24064],[2,5,56832],[2,5,15872],
[2,5,48640],[2,5,32256],[2,5,65024],[2,5,33024],
[2,5,16640],[2,5,49408],[2,5,8448],[2,5,41216],
[2,5,24832],[2,5,57600],[2,5,4352],[2,5,37120],
[2,5,20736],[2,5,53504],[2,5,12544],[2,5,45312],
[2,5,28928],[2,5,61696],[2,5,35072],[2,5,18688],
[2,5,51456],[2,5,10496],[2,5,43264],[2,5,26880],
[2,5,59648],[2,5,6400],[2,5,39168],[2,5,22784],
[2,5,55552],[2,5,14592],[2,5,47360],[2,5,30976],
[2,5,63744],[2,5,34048],[2,5,17664],[2,5,50432],
[2,5,9472],[2,5,42240],[2,5,25856],[2,5,58624],
[2,5,5376],[2,5,38144],[2,5,21760],[2,5,54528],
[2,5,46336],[2,5,29952],[2,5,62720],[2,5,36096],
[2,5,19712],[2,5,52480],[2,5,11520],[2,5,44288],
[2,5,27904],[2,5,60672],[2,5,7424],[2,5,40192],
[2,5,23808],[2,5,56576],[2,5,15616],[2,5,48384],
[2,5,32000],[2,5,64768],[2,5,33536],[2,5,17152],
[2,5,49920],[2,5,8960],[2,5,41728],[2,5,25344],
[2,5,58112],[2,5,37632],[2,5,21248],[2,5,54016],
[2,5,13056],[2,5,45824],[2,5,29440],[2,5,62208],
[2,5,35584],[2,5,19200],[2,5,11008],[2,5,43776],
[2,5,27392],[2,5,60160],[2,5,6912],[2,5,39680],
[2,5,23296],[2,5,56064],[2,5,15104],[2,5,47872],
[2,5,31488],[2,5,64256],[2,5,18176],[2,5,50944],
[2,5,9984],[2,5,42752],[2,5,26368],[2,5,59136],
[2,5,5888],[2,5,38656],[2,5,22272],[2,5,55040],
[2,5,14080],[2,5,46848],[2,5,30464],[2,5,63232],
[2,5,36608],[2,5,20224],[2,5,52992],[2,5,12032],
[2,5,44800],[2,5,28416],[2,5,61184],[2,5,7936],
[2,5,40704],[2,5,57088],[2,5,16128],[2,5,48896],
[2,5,32512],[2,5,65280],[2,5,2176],[2,5,34944],
[2,5,18560],[2,5,51328],[2,5,10368],[2,5,26752],
[2,5,59520],[2,5,6272],[2,5,39040],[2,5,22656],
[2,5,14464],[2,5,47232],[2,5,30848],[2,5,63616],
[2,5,1152],[2,5,33920],[2,5,17536],[2,5,50304],
[2,5,9344],[2,5,25728],[2,5,58496],[2,5,5248],
[2,5,21632],[2,5,54400],[2,5,46208],[2,5,29824],
[2,5,62592],[2,5,3200],[2,5,35968],[2,5,11392],
[2,5,60544],[2,5,7296],[2,5,40064],[2,5,23680],
[2,5,56448],[2,5,15488],[2,5,48256],[2,5,31872],
[2,5,64640],[2,5,640],[2,5,33408],[2,5,17024],
[2,5,49792],[2,5,8832],[2,5,25216],[2,5,4736],
[2,5,37504],[2,5,21120],[2,5,53888],[2,5,12928],
[2,5,29312],[2,5,62080],[2,5,2688],[2,5,35456],
[2,5,19072],[2,5,51840],[2,5,10880],[2,5,6784],
[2,5,39552],[2,5,23168],[2,5,55936],[2,5,14976],
[2,5,47744],[2,5,31360],[2,5,64128],[2,5,1664],
[2,5,34432],[2,5,18048],[2,5,50816],[2,5,26240],
[2,5,5760],[2,5,38528],[2,5,22144],[2,5,54912],
[2,5,13952],[2,5,46720],[2,5,30336],[2,5,63104],
[2,5,3712],[2,5,36480],[2,5,20096],[2,5,52864],
[2,5,11904],[2,5,28288],[2,5,7808],[2,5,40576],
[2,5,24192],[2,5,56960],[2,5,16000],[2,5,48768],
[2,5,32384],[2,5,384],[2,5,33152],[2,5,16768],
[2,5,49536],[2,5,8576],[2,5,24960],[2,5,4480],
[2,5,37248],[2,5,20864],[2,5,53632],[2,5,12672],
[2,5,45440],[2,5,29056],[2,5,61824],[2,5,2432],
[2,5,35200],[2,5,18816],[2,5,51584],[2,5,10624],
[2,5,27008],[2,5,6528],[2,5,39296],[2,5,22912],
[2,5,55680],[2,5,14720],[2,5,47488],[2,5,63872],
[2,5,1408],[2,5,34176],[2,5,17792],[2,5,50560],
[2,5,9600],[2,5,25984],[2,5,5504],[2,5,21888],
[2,5,54656],[2,5,46464],[2,5,30080],[2,5,62848],
[2,5,3456],[2,5,36224],[2,5,19840],[2,5,52608],
[2,5,11648],[2,5,28032],[2,5,7552],[2,5,40320],
[2,5,23936],[2,5,56704],[2,5,15744],[2,5,48512],
[2,5,32128],[2,5,64896],[2,5,896],[2,5,33664],
[2,5,17280],[2,5,50048],[2,5,9088],[2,5,25472],
[2,5,37760],[2,5,21376],[2,5,54144],[2,5,13184],
[2,5,29568],[2,5,62336],[2,5,2944],[2,5,35712],
[2,5,19328],[2,5,11136],[2,5,7040],[2,5,39808],
[2,5,23424],[2,5,56192],[2,5,15232],[2,5,48000],
[2,5,31616],[2,5,64384],[2,5,1920],[2,5,18304],
[2,5,51072],[2,5,26496],[2,5,6016],[2,5,38784],
[2,5,22400],[2,5,55168],[2,5,14208],[2,5,46976],
[2,5,30592],[2,5,63360],[2,5,3968],[2,5,36736],
[2,5,20352],[2,5,53120],[2,5,12160],[2,5,28544],
[2,5,8064],[2,5,40832],[2,5,57216],[2,5,16256],
[2,5,49024],[2,5,32640],[2,5,2112],[2,5,34880],
[2,5,18496],[2,5,51264],[2,5,10304],[2,5,43072],
[2,5,26688],[2,5,59456],[2,5,38976],[2,5,14400],
[2,5,47168],[2,5,63552],[2,5,1088],[2,5,33856],
[2,5,17472],[2,5,50240],[2,5,9280],[2,5,42048],
[2,5,25664],[2,5,58432],[2,5,54336],[2,5,46144],
[2,5,29760],[2,5,62528],[2,5,576],[2,5,33344],
[2,5,16960],[2,5,49728],[2,5,8768],[2,5,41536],
[2,5,25152],[2,5,57920],[2,5,37440],[2,5,53824],
[2,5,12864],[2,5,29248],[2,5,62016],[2,5,2624],
[2,5,35392],[2,5,19008],[2,5,10816],[2,5,43584],
[2,5,59968],[2,5,39488],[2,5,55872],[2,5,14912],
[2,5,47680],[2,5,31296],[2,5,64064],[2,5,1600],
[2,5,17984],[2,5,50752],[2,5,42560],[2,5,26176],
[2,5,58944],[2,5,54848],[2,5,13888],[2,5,46656],
[2,5,30272],[2,5,63040],[2,5,3648],[2,5,36416],
[2,5,20032],[2,5,11840],[2,5,44608],[2,5,40512],
[2,5,15936],[2,5,48704],[2,5,33088],[2,5,49472],
[2,5,8512],[2,5,24896],[2,5,57664],[2,5,37184],
[2,5,53568],[2,5,12608],[2,5,45376],[2,5,28992],
[2,5,61760],[2,5,2368],[2,5,35136],[2,5,10560],
[2,5,43328],[2,5,26944],[2,5,59712],[2,5,39232],
[2,5,14656],[2,5,47424],[2,5,63808],[2,5,1344],
[2,5,50496],[2,5,9536],[2,5,42304],[2,5,25920],
[2,5,58688],[2,5,54592],[2,5,46400],[2,5,30016],
[2,5,62784],[2,5,3392],[2,5,36160],[2,5,52544],
[2,5,11584],[2,5,44352],[2,5,27968],[2,5,40256],
[2,5,56640],[2,5,15680],[2,5,48448],[2,5,32064],
[2,5,64832],[2,5,832],[2,5,33600],[2,5,49984],
[2,5,9024],[2,5,41792],[2,5,25408],[2,5,58176],
[2,5,37696],[2,5,54080],[2,5,13120],[2,5,29504],
[2,5,62272],[2,5,2880],[2,5,35648],[2,5,11072],
[2,5,43840],[2,5,60224],[2,5,39744],[2,5,56128],
[2,5,15168],[2,5,47936],[2,5,31552],[2,5,64320],
[2,5,1856],[2,5,51008],[2,5,42816],[2,5,26432],
[2,5,59200],[2,5,38720],[2,5,55104],[2,5,46912],
[2,5,30528],[2,5,63296],[2,5,3904],[2,5,36672],
[2,5,53056],[2,5,12096],[2,5,44864],[2,5,28480],
[2,5,61248],[2,5,40768],[2,5,57152],[2,5,16192],
[2,5,48960],[2,5,32576],[2,5,2240],[2,5,35008],
[2,5,18624],[2,5,51392],[2,5,10432],[2,5,43200],
[2,5,6336],[2,5,39104],[2,5,22720],[2,5,14528],
[2,5,1216],[2,5,33984],[2,5,17600],[2,5,50368],
[2,5,42176],[2,5,25792],[2,5,5312],[2,5,21696],
[2,5,54464],[2,5,29888],[2,5,33472],[2,5,17088],
[2,5,49856],[2,5,8896],[2,5,41664],[2,5,25280],
[2,5,21184],[2,5,53952],[2,5,29376],[2,5,2752],
[2,5,35520],[2,5,19136],[2,5,10944],[2,5,6848],
[2,5,39616],[2,5,23232],[2,5,15040],[2,5,31424],
[2,5,1728],[2,5,18112],[2,5,50880],[2,5,26304],
[2,5,5824],[2,5,22208],[2,5,54976],[2,5,30400],
[2,5,33216],[2,5,16832],[2,5,49600],[2,5,8640],
[2,5,25024],[2,5,37312],[2,5,20928],[2,5,53696],
[2,5,12736],[2,5,29120],[2,5,2496],[2,5,35264],
[2,5,18880],[2,5,10688],[2,5,6592],[2,5,39360],
[2,5,22976],[2,5,14784],[2,5,1472],[2,5,17856],
[2,5,50624],[2,5,26048],[2,5,5568],[2,5,21952],
[2,5,54720],[2,5,30144],[2,5,3520],[2,5,36288],
[2,5,52672],[2,5,11712],[2,5,28096],[2,5,7616],
[2,5,40384],[2,5,56768],[2,5,15808],[2,5,32192],
[2,5,960],[2,5,33728],[2,5,17344],[2,5,50112],
[2,5,9152],[2,5,25536],[2,5,37824],[2,5,21440],
[2,5,54208],[2,5,13248],[2,5,29632],[2,5,3008],
[2,5,35776],[2,5,19392],[2,5,11200],[2,5,7104],
[2,5,39872],[2,5,23488],[2,5,56256],[2,5,15296],
[2,5,1984],[2,5,18368],[2,5,51136],[2,5,26560],
[2,5,6080],[2,5,22464],[2,5,55232],[2,5,30656],
[2,5,4032],[2,5,36800],[2,5,20416],[2,5,53184],
[2,5,12224],[2,5,28608],[2,5,8128],[2,5,40896],
[2,5,57280],[2,5,16320],[2,5,32704],[2,5,2080],
[2,5,18464],[2,5,10272],[2,5,43040],[2,5,59424],
[2,5,6176],[2,5,22560],[2,5,14368],[2,5,47136],
[2,5,63520],[2,5,1056],[2,5,17440],[2,5,42016],
[2,5,25632],[2,5,58400],[2,5,5152],[2,5,21536],
[2,5,46112],[2,5,29728],[2,5,62496],[2,5,2592],
[2,5,18976],[2,5,10784],[2,5,43552],[2,5,59936],
[2,5,6688],[2,5,23072],[2,5,14880],[2,5,47648],
[2,5,64032],[2,5,17952],[2,5,26144],[2,5,58912],
[2,5,22048],[2,5,30240],[2,5,63008],[2,5,16672],
[2,5,8480],[2,5,24864],[2,5,57632],[2,5,12576],
[2,5,28960],[2,5,61728],[2,5,2336],[2,5,18720],
[2,5,10528],[2,5,43296],[2,5,59680],[2,5,6432],
[2,5,14624],[2,5,47392],[2,5,63776],[2,5,1312],
[2,5,17696],[2,5,42272],[2,5,25888],[2,5,58656],
[2,5,5408],[2,5,46368],[2,5,29984],[2,5,62752],
[2,5,3360],[2,5,11552],[2,5,44320],[2,5,27936],
[2,5,7456],[2,5,15648],[2,5,48416],[2,5,17184],
[2,5,8992],[2,5,25376],[2,5,58144],[2,5,13088],
[2,5,29472],[2,5,62240],[2,5,2848],[2,5,19232],
[2,5,11040],[2,5,43808],[2,5,60192],[2,5,6944],
[2,5,15136],[2,5,47904],[2,5,64288],[2,5,1824],
[2,5,18208],[2,5,42784],[2,5,26400],[2,5,59168],
[2,5,46880],[2,5,30496],[2,5,63264],[2,5,3872],
[2,5,12064],[2,5,44832],[2,5,28448],[2,5,7968],
[2,5,16160],[2,5,48928],[2,5,32544],[2,5,2208],
[2,5,34976],[2,5,43168],[2,5,59552],[2,5,6304],
[2,5,39072],[2,5,22688],[2,5,47264],[2,5,17568],
[2,5,50336],[2,5,42144],[2,5,58528],[2,5,5280],
[2,5,21664],[2,5,54432],[2,5,46240],[2,5,2720],
[2,5,35488],[2,5,43680],[2,5,6816],[2,5,39584],
[2,5,23200],[2,5,33184],[2,5,16800],[2,5,49568],
[2,5,57760],[2,5,37280],[2,5,20896],[2,5,53664],
[2,5,2464],[2,5,35232],[2,5,18848],[2,5,43424],
[2,5,6560],[2,5,39328],[2,5,22944],[2,5,1440],
[2,5,17824],[2,5,50592],[2,5,58784],[2,5,5536],
[2,5,21920],[2,5,54688],[2,5,3488],[2,5,36256],
[2,5,52640],[2,5,44448],[2,5,7584],[2,5,40352],
[2,5,17312],[2,5,50080],[2,5,58272],[2,5,37792],
[2,5,21408],[2,5,54176],[2,5,2976],[2,5,35744],
[2,5,19360],[2,5,43936],[2,5,60320],[2,5,7072],
[2,5,39840],[2,5,1952],[2,5,18336],[2,5,51104],
[2,5,42912],[2,5,59296],[2,5,22432],[2,5,55200],
[2,5,4000],[2,5,36768],[2,5,44960],[2,5,8096],
[2,5,40864],[2,5,57248],[2,5,10336],[2,5,43104],
[2,5,6240],[2,5,22624],[2,5,14432],[2,5,47200],
[2,5,25696],[2,5,58464],[2,5,21600],[2,5,46176],
[2,5,29792],[2,5,62560],[2,5,8544],[2,5,24928],
[2,5,57696],[2,5,20832],[2,5,29024],[2,5,61792],
[2,5,10592],[2,5,43360],[2,5,14688],[2,5,47456],
[2,5,63840],[2,5,25952],[2,5,58720],[2,5,21856],
[2,5,46432],[2,5,30048],[2,5,62816],[2,5,11616],
[2,5,44384],[2,5,28000],[2,5,15712],[2,5,48480],
[2,5,25440],[2,5,58208],[2,5,21344],[2,5,13152],
[2,5,29536],[2,5,62304],[2,5,11104],[2,5,43872],
[2,5,60256],[2,5,15200],[2,5,47968],[2,5,42848],
[2,5,26464],[2,5,59232],[2,5,22368],[2,5,30560],
[2,5,63328],[2,5,12128],[2,5,44896],[2,5,16224],
[2,5,48992],[2,5,17632],[2,5,50400],[2,5,5344],
[2,5,21728],[2,5,54496],[2,5,16864],[2,5,49632],
[2,5,20960],[2,5,53728],[2,5,2528],[2,5,35296],
[2,5,6624],[2,5,39392],[2,5,17888],[2,5,50656],
[2,5,21984],[2,5,54752],[2,5,3552],[2,5,36320],
[2,5,7648],[2,5,40416],[2,5,17376],[2,5,50144],
[2,5,37856],[2,5,21472],[2,5,54240],[2,5,3040],
[2,5,35808],[2,5,19424],[2,5,7136],[2,5,39904],
[2,5,2016],[2,5,18400],[2,5,51168],[2,5,22496],
[2,5,55264],[2,5,4064],[2,5,36832],[2,5,8160],
[2,5,40928],[2,5,24848],[2,5,57616],[2,5,28944],
[2,5,61712],[2,5,10512],[2,5,43280],[2,5,14608],
[2,5,47376],[2,5,25872],[2,5,58640],[2,5,29968],
[2,5,62736],[2,5,11536],[2,5,44304],[2,5,48400],
[2,5,25360],[2,5,58128],[2,5,29456],[2,5,62224],
[2,5,11024],[2,5,43792],[2,5,15120],[2,5,47888],
[2,5,30480],[2,5,12048],[2,5,44816],[2,5,16144],
[2,5,16784],[2,5,49552],[2,5,20880],[2,5,53648],
[2,5,2448],[2,5,35216],[2,5,39312],[2,5,17808],
[2,5,50576],[2,5,21904],[2,5,54672],[2,5,3472],
[2,5,36240],[2,5,17296],[2,5,21392],[2,5,54160],
[2,5,3984],[2,5,40848],[2,5,24912],[2,5,61776],
[2,5,10576],[2,5,47440],[2,5,25936],[2,5,30032],
[2,5,11600],[2,5,48464],[2,5,29520],[2,5,48976],
[2,5,50640],[2,5,54736],[2,5,54224],[2,5,57648],
[2,5,61744],[2,5,44336],[2,5,48432],[2,5,62256],
[2,5,44848],[2,5,48944],[2,5,3504],[2,5,7600],
[2,5,58224],[2,5,44912],[2,5,17392]
]
]
];

870
data/paige.tbl Normal file
View file

@ -0,0 +1,870 @@
#############################################################################
##
#W paige.tbl Paige loops G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: paige.tbl, v 3.1.0 2015/09/23 gap Exp $
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
# (MATH) Paige loops = nonassociative finite simple Moufang loops
LOOPS_paige_data := [
# implemented orders
[ 120 ],
# number of loops of given order
[ 1 ],
# the loops
[
# order 120
[
# Paige loop over GF( 2 )
[ [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56,
57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74,
75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92,
93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 ],
[ 2, 1, 4, 3, 6, 5, 8, 7, 13, 14, 15, 16, 9, 10, 11, 12, 22, 21, 24, 23,
18, 17, 20, 19, 29, 30, 31, 32, 25, 26, 27, 28, 36, 35, 34, 33, 40, 39,
38, 37, 45, 46, 47, 48, 41, 42, 43, 44, 56, 55, 54, 53, 52, 51, 50, 49,
58, 57, 60, 59, 62, 61, 64, 63, 66, 65, 68, 67, 70, 69, 72, 71, 78, 77,
80, 79, 74, 73, 76, 75, 86, 85, 88, 87, 82, 81, 84, 83, 92, 91, 90, 89,
96, 95, 94, 93, 100, 99, 98, 97, 104, 103, 102, 101, 112, 111, 110,
109, 108, 107, 106, 105, 120, 119, 118, 117, 116, 115, 114, 113 ],
[ 3, 4, 1, 2, 8, 7, 6, 5, 19, 20, 17, 18, 24, 23, 22, 21, 11, 12, 9, 10,
16, 15, 14, 13, 26, 25, 32, 31, 30, 29, 28, 27, 35, 36, 33, 34, 38, 37,
40, 39, 51, 52, 49, 50, 54, 53, 56, 55, 43, 44, 41, 42, 46, 45, 48, 47,
89, 92, 91, 90, 93, 96, 95, 94, 97, 100, 99, 98, 101, 104, 103, 102,
113, 116, 115, 114, 117, 120, 119, 118, 105, 108, 107, 106, 109, 112,
111, 110, 57, 60, 59, 58, 61, 64, 63, 62, 65, 68, 67, 66, 69, 72, 71,
70, 81, 84, 83, 82, 85, 88, 87, 86, 73, 76, 75, 74, 77, 80, 79, 78 ],
[ 4, 3, 2, 1, 7, 8, 5, 6, 23, 24, 21, 22, 20, 19, 18, 17, 16, 15, 14, 13,
11, 12, 9, 10, 30, 29, 28, 27, 26, 25, 32, 31, 34, 33, 36, 35, 39, 40,
37, 38, 53, 54, 55, 56, 52, 51, 50, 49, 48, 47, 46, 45, 41, 42, 43, 44,
90, 91, 92, 89, 94, 95, 96, 93, 98, 99, 100, 97, 102, 103, 104, 101,
118, 119, 120, 117, 114, 115, 116, 113, 110, 111, 112, 109, 106, 107,
108, 105, 60, 57, 58, 59, 64, 61, 62, 63, 68, 65, 66, 67, 72, 69, 70,
71, 88, 85, 86, 87, 84, 81, 82, 83, 80, 77, 78, 79, 76, 73, 74, 75 ],
[ 5, 6, 8, 7, 1, 2, 4, 3, 10, 9, 16, 15, 14, 13, 12, 11, 21, 22, 20, 19,
17, 18, 24, 23, 37, 38, 33, 34, 40, 39, 36, 35, 27, 28, 32, 31, 25, 26,
30, 29, 52, 51, 56, 55, 53, 54, 49, 50, 47, 48, 42, 41, 45, 46, 44, 43,
73, 78, 75, 80, 77, 74, 79, 76, 81, 86, 83, 88, 85, 82, 87, 84, 57, 62,
59, 64, 61, 58, 63, 60, 65, 70, 67, 72, 69, 66, 71, 68, 113, 118, 115,
120, 117, 114, 119, 116, 105, 110, 107, 112, 109, 106, 111, 108, 97,
102, 99, 104, 101, 98, 103, 100, 89, 94, 91, 96, 93, 90, 95, 92 ],
[ 6, 5, 7, 8, 2, 1, 3, 4, 14, 13, 12, 11, 10, 9, 16, 15, 18, 17, 23, 24,
22, 21, 19, 20, 39, 40, 35, 36, 38, 37, 34, 33, 32, 31, 27, 28, 30, 29,
25, 26, 54, 53, 50, 49, 51, 52, 55, 56, 44, 43, 45, 46, 42, 41, 47, 48,
74, 77, 76, 79, 78, 73, 80, 75, 82, 85, 84, 87, 86, 81, 88, 83, 62, 57,
64, 59, 58, 61, 60, 63, 70, 65, 72, 67, 66, 69, 68, 71, 116, 119, 114,
117, 120, 115, 118, 113, 108, 111, 106, 109, 112, 107, 110, 105, 104,
99, 102, 97, 100, 103, 98, 101, 96, 91, 94, 89, 92, 95, 90, 93 ],
[ 7, 8, 6, 5, 4, 3, 1, 2, 20, 19, 22, 21, 23, 24, 17, 18, 15, 16, 10, 9,
12, 11, 13, 14, 38, 37, 36, 35, 39, 40, 33, 34, 31, 32, 28, 27, 26, 25,
29, 30, 42, 41, 48, 47, 46, 45, 44, 43, 55, 56, 52, 51, 54, 53, 49, 50,
105, 112, 107, 110, 109, 108, 111, 106, 113, 120, 115, 118, 117, 116,
119, 114, 97, 104, 99, 102, 101, 100, 103, 98, 89, 96, 91, 94, 93, 92,
95, 90, 81, 88, 83, 86, 85, 84, 87, 82, 73, 80, 75, 78, 77, 76, 79, 74,
57, 64, 59, 62, 61, 60, 63, 58, 65, 72, 67, 70, 69, 68, 71, 66 ],
[ 8, 7, 5, 6, 3, 4, 2, 1, 24, 23, 18, 17, 19, 20, 21, 22, 12, 11, 13, 14,
15, 16, 10, 9, 40, 39, 34, 33, 37, 38, 35, 36, 28, 27, 31, 32, 29, 30,
26, 25, 46, 45, 44, 43, 42, 41, 48, 47, 50, 49, 53, 54, 51, 52, 56, 55,
106, 111, 108, 109, 110, 107, 112, 105, 114, 119, 116, 117, 118, 115,
120, 113, 102, 99, 104, 97, 98, 103, 100, 101, 94, 91, 96, 89, 90, 95,
92, 93, 84, 85, 82, 87, 88, 81, 86, 83, 76, 77, 74, 79, 80, 73, 78, 75,
64, 57, 62, 59, 60, 61, 58, 63, 72, 65, 70, 67, 68, 69, 66, 71 ],
[ 9, 13, 11, 15, 10, 14, 12, 16, 1, 5, 3, 7, 2, 6, 4, 8, 19, 23, 17, 21,
20, 24, 18, 22, 57, 61, 59, 63, 58, 62, 60, 64, 75, 79, 76, 80, 73, 77,
74, 78, 66, 70, 68, 72, 65, 69, 67, 71, 83, 87, 82, 86, 81, 85, 84, 88,
25, 29, 27, 31, 26, 30, 28, 32, 45, 41, 47, 43, 46, 42, 48, 44, 37, 39,
33, 35, 38, 40, 34, 36, 53, 51, 49, 55, 54, 52, 50, 56, 93, 95, 94, 96,
89, 91, 90, 92, 109, 107, 110, 108, 105, 111, 106, 112, 101, 103, 98,
100, 97, 99, 102, 104, 117, 115, 114, 120, 113, 119, 118, 116 ],
[ 10, 14, 12, 16, 9, 13, 11, 15, 5, 1, 7, 3, 6, 2, 8, 4, 24, 20, 22, 18,
23, 19, 21, 17, 59, 63, 57, 61, 60, 64, 58, 62, 73, 77, 74, 78, 75, 79,
76, 80, 72, 68, 70, 66, 71, 67, 69, 65, 85, 81, 88, 84, 87, 83, 86, 82,
27, 31, 25, 29, 28, 32, 26, 30, 48, 44, 46, 42, 47, 43, 45, 41, 33, 35,
37, 39, 34, 36, 38, 40, 50, 56, 54, 52, 49, 55, 53, 51, 96, 94, 95, 93,
92, 90, 91, 89, 112, 106, 111, 105, 108, 110, 107, 109, 100, 98, 103,
101, 104, 102, 99, 97, 116, 118, 119, 113, 120, 114, 115, 117 ],
[ 11, 16, 9, 14, 12, 15, 10, 13, 17, 22, 19, 24, 18, 21, 20, 23, 3, 8, 1,
6, 4, 7, 2, 5, 89, 93, 92, 96, 90, 94, 91, 95, 108, 112, 107, 111, 105,
109, 106, 110, 114, 118, 115, 119, 113, 117, 116, 120, 100, 104, 98,
102, 97, 101, 99, 103, 26, 32, 28, 30, 25, 31, 27, 29, 46, 43, 48, 41,
45, 44, 47, 42, 54, 56, 49, 51, 53, 55, 50, 52, 38, 35, 33, 40, 37, 36,
34, 39, 61, 64, 62, 63, 57, 60, 58, 59, 77, 76, 78, 75, 73, 80, 74, 79,
85, 88, 82, 83, 81, 84, 86, 87, 69, 68, 66, 71, 65, 72, 70, 67 ],
[ 12, 15, 10, 13, 11, 16, 9, 14, 21, 18, 23, 20, 22, 17, 24, 19, 8, 3, 6,
1, 7, 4, 5, 2, 91, 95, 90, 94, 92, 96, 89, 93, 106, 110, 105, 109, 107,
111, 108, 112, 120, 116, 117, 113, 119, 115, 118, 114, 102, 98, 104,
100, 103, 99, 101, 97, 28, 30, 26, 32, 27, 29, 25, 31, 47, 42, 45, 44,
48, 41, 46, 43, 50, 52, 53, 55, 49, 51, 54, 56, 33, 40, 38, 35, 34, 39,
37, 36, 64, 61, 63, 62, 60, 57, 59, 58, 80, 73, 79, 74, 76, 77, 75, 78,
84, 81, 87, 86, 88, 85, 83, 82, 68, 69, 71, 66, 72, 65, 67, 70 ],
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24, 20, 17, 21, 65, 69, 71, 67, 66, 70, 72, 68, 87, 83, 88, 84, 81, 85,
82, 86, 58, 62, 64, 60, 57, 61, 63, 59, 79, 75, 74, 78, 73, 77, 80, 76,
45, 41, 48, 44, 46, 42, 47, 43, 25, 29, 28, 32, 26, 30, 27, 31, 53, 51,
50, 56, 54, 52, 49, 55, 37, 39, 34, 36, 38, 40, 33, 35, 117, 115, 118,
116, 113, 119, 114, 120, 101, 103, 102, 104, 97, 99, 98, 100, 109, 107,
106, 112, 105, 111, 110, 108, 93, 95, 90, 92, 89, 91, 94, 96 ],
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19, 23, 22, 18, 67, 71, 69, 65, 68, 72, 70, 66, 85, 81, 86, 82, 83, 87,
84, 88, 64, 60, 58, 62, 63, 59, 57, 61, 73, 77, 80, 76, 79, 75, 74, 78,
47, 43, 46, 42, 48, 44, 45, 41, 28, 32, 25, 29, 27, 31, 26, 30, 49, 55,
54, 52, 50, 56, 53, 51, 34, 36, 37, 39, 33, 35, 38, 40, 120, 114, 119,
113, 116, 118, 115, 117, 104, 102, 103, 101, 100, 98, 99, 97, 108, 110,
111, 105, 112, 106, 107, 109, 92, 90, 95, 93, 96, 94, 91, 89 ],
[ 15, 12, 14, 9, 16, 11, 13, 10, 18, 21, 24, 19, 17, 22, 23, 20, 7, 4, 2,
5, 8, 3, 1, 6, 97, 101, 104, 100, 98, 102, 103, 99, 120, 116, 119, 115,
113, 117, 114, 118, 106, 110, 111, 107, 105, 109, 112, 108, 96, 92, 90,
94, 89, 93, 95, 91, 46, 44, 47, 41, 45, 43, 48, 42, 26, 31, 27, 30, 25,
32, 28, 29, 38, 36, 34, 40, 37, 35, 33, 39, 54, 55, 50, 51, 53, 56, 49,
52, 85, 84, 86, 83, 81, 88, 82, 87, 69, 72, 70, 71, 65, 68, 66, 67, 61,
60, 58, 63, 57, 64, 62, 59, 77, 80, 74, 75, 73, 76, 78, 79 ],
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2, 3, 8, 6, 1, 99, 103, 102, 98, 100, 104, 101, 97, 118, 114, 117, 113,
115, 119, 116, 120, 112, 108, 105, 109, 111, 107, 106, 110, 90, 94, 96,
92, 95, 91, 89, 93, 48, 42, 45, 43, 47, 41, 46, 44, 27, 30, 26, 31, 28,
29, 25, 32, 34, 40, 38, 36, 33, 39, 37, 35, 49, 52, 53, 56, 50, 51, 54,
55, 88, 81, 87, 82, 84, 85, 83, 86, 72, 69, 71, 70, 68, 65, 67, 66, 60,
61, 63, 58, 64, 57, 59, 62, 76, 73, 79, 78, 80, 77, 75, 74 ],
[ 17, 22, 19, 24, 21, 18, 23, 20, 11, 16, 9, 14, 15, 12, 13, 10, 1, 6, 3,
8, 5, 2, 7, 4, 93, 89, 94, 90, 96, 92, 95, 91, 114, 118, 115, 119, 117,
113, 120, 116, 108, 112, 107, 111, 109, 105, 110, 106, 98, 102, 100,
104, 101, 97, 103, 99, 61, 62, 64, 63, 57, 58, 60, 59, 85, 82, 88, 83,
81, 86, 84, 87, 77, 78, 76, 75, 73, 74, 80, 79, 69, 66, 68, 71, 65, 70,
72, 67, 26, 28, 32, 30, 25, 27, 31, 29, 54, 49, 56, 51, 53, 50, 55, 52,
46, 48, 43, 41, 45, 47, 44, 42, 38, 33, 35, 40, 37, 34, 36, 39 ],
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3, 2, 5, 4, 7, 95, 91, 96, 92, 94, 90, 93, 89, 116, 120, 113, 117, 119,
115, 118, 114, 110, 106, 109, 105, 107, 111, 108, 112, 104, 100, 102,
98, 99, 103, 97, 101, 62, 61, 63, 64, 58, 57, 59, 60, 86, 81, 87, 84,
82, 85, 83, 88, 74, 73, 79, 80, 78, 77, 75, 76, 66, 69, 71, 68, 70, 65,
67, 72, 32, 30, 26, 28, 31, 29, 25, 27, 55, 52, 53, 50, 56, 51, 54, 49,
44, 42, 45, 47, 43, 41, 46, 48, 35, 40, 38, 33, 36, 39, 37, 34 ],
[ 19, 23, 17, 21, 24, 20, 22, 18, 3, 7, 1, 5, 8, 4, 6, 2, 9, 13, 11, 15,
14, 10, 16, 12, 61, 57, 63, 59, 64, 60, 62, 58, 83, 87, 82, 86, 85, 81,
88, 84, 68, 72, 66, 70, 69, 65, 71, 67, 75, 79, 76, 80, 77, 73, 78, 74,
93, 95, 96, 94, 89, 91, 92, 90, 117, 115, 120, 114, 113, 119, 116, 118,
101, 103, 100, 98, 97, 99, 104, 102, 109, 107, 108, 110, 105, 111, 112,
106, 25, 29, 31, 27, 26, 30, 32, 28, 53, 51, 55, 49, 54, 52, 56, 50,
37, 39, 35, 33, 38, 40, 36, 34, 45, 41, 43, 47, 46, 42, 44, 48 ],
[ 20, 24, 18, 22, 23, 19, 21, 17, 7, 3, 5, 1, 4, 8, 2, 6, 14, 10, 16, 12,
9, 13, 11, 15, 63, 59, 61, 57, 62, 58, 64, 60, 81, 85, 84, 88, 87, 83,
86, 82, 70, 66, 72, 68, 67, 71, 65, 69, 77, 73, 78, 74, 75, 79, 76, 80,
94, 96, 95, 93, 90, 92, 91, 89, 118, 116, 119, 113, 114, 120, 115, 117,
98, 100, 103, 101, 102, 104, 99, 97, 106, 112, 111, 105, 110, 108, 107,
109, 31, 27, 25, 29, 32, 28, 26, 30, 56, 50, 54, 52, 55, 49, 53, 51,
35, 33, 37, 39, 36, 34, 38, 40, 44, 48, 46, 42, 43, 47, 45, 41 ],
[ 21, 18, 24, 19, 17, 22, 20, 23, 12, 15, 14, 9, 16, 11, 10, 13, 5, 2, 4,
7, 1, 6, 8, 3, 101, 97, 98, 102, 104, 100, 99, 103, 110, 106, 111, 107,
109, 105, 112, 108, 116, 120, 119, 115, 117, 113, 114, 118, 94, 90, 92,
96, 93, 89, 91, 95, 77, 74, 80, 75, 73, 78, 76, 79, 69, 70, 72, 71, 65,
66, 68, 67, 61, 58, 60, 63, 57, 62, 64, 59, 85, 86, 84, 83, 81, 82, 88,
87, 54, 50, 55, 51, 53, 49, 56, 52, 26, 27, 31, 30, 25, 28, 32, 29, 38,
34, 36, 40, 37, 33, 35, 39, 46, 47, 44, 41, 45, 48, 43, 42 ],
[ 22, 17, 23, 20, 18, 21, 19, 24, 16, 11, 10, 13, 12, 15, 14, 9, 2, 5, 7,
4, 6, 1, 3, 8, 103, 99, 100, 104, 102, 98, 97, 101, 112, 108, 109, 105,
111, 107, 110, 106, 118, 114, 113, 117, 115, 119, 120, 116, 92, 96, 94,
90, 91, 95, 93, 89, 78, 73, 79, 76, 74, 77, 75, 80, 70, 69, 71, 72, 66,
65, 67, 68, 58, 61, 63, 60, 62, 57, 59, 64, 82, 81, 87, 88, 86, 85, 83,
84, 56, 52, 53, 49, 55, 51, 54, 50, 31, 30, 26, 27, 32, 29, 25, 28, 36,
40, 38, 34, 35, 39, 37, 33, 43, 42, 45, 48, 44, 41, 46, 47 ],
[ 23, 19, 22, 18, 20, 24, 17, 21, 4, 8, 6, 2, 7, 3, 1, 5, 13, 9, 12, 16,
10, 14, 15, 11, 69, 65, 67, 71, 72, 68, 66, 70, 79, 75, 78, 74, 77, 73,
80, 76, 60, 64, 62, 58, 61, 57, 59, 63, 87, 83, 84, 88, 85, 81, 82, 86,
109, 107, 112, 106, 105, 111, 108, 110, 101, 103, 104, 102, 97, 99,
100, 98, 117, 115, 116, 118, 113, 119, 120, 114, 93, 95, 92, 90, 89,
91, 96, 94, 53, 51, 56, 50, 54, 52, 55, 49, 25, 29, 32, 28, 26, 30, 31,
27, 45, 41, 44, 48, 46, 42, 43, 47, 37, 39, 36, 34, 38, 40, 35, 33 ],
[ 24, 20, 21, 17, 19, 23, 18, 22, 8, 4, 2, 6, 3, 7, 5, 1, 10, 14, 15, 11,
13, 9, 12, 16, 71, 67, 65, 69, 70, 66, 68, 72, 77, 73, 80, 76, 79, 75,
78, 74, 62, 58, 60, 64, 59, 63, 61, 57, 81, 85, 86, 82, 83, 87, 88, 84,
110, 108, 111, 105, 106, 112, 107, 109, 102, 104, 103, 101, 98, 100,
99, 97, 114, 120, 119, 113, 118, 116, 115, 117, 90, 92, 95, 93, 94, 96,
91, 89, 55, 49, 54, 52, 56, 50, 53, 51, 32, 28, 25, 29, 31, 27, 26, 30,
43, 47, 46, 42, 44, 48, 45, 41, 36, 34, 37, 39, 35, 33, 38, 40 ],
[ 25, 29, 26, 30, 27, 31, 28, 32, 57, 59, 61, 63, 58, 60, 62, 64, 93, 95,
89, 91, 94, 96, 90, 92, 1, 3, 5, 7, 2, 4, 6, 8, 37, 39, 38, 40, 33, 35,
34, 36, 65, 67, 69, 71, 66, 68, 70, 72, 101, 103, 97, 99, 98, 100, 102,
104, 9, 13, 10, 14, 11, 15, 12, 16, 41, 45, 42, 46, 43, 47, 44, 48, 75,
79, 73, 77, 76, 80, 74, 78, 107, 109, 105, 111, 108, 110, 106, 112, 19,
23, 20, 24, 17, 21, 18, 22, 51, 53, 52, 54, 49, 55, 50, 56, 83, 87, 81,
85, 82, 86, 84, 88, 115, 117, 113, 119, 114, 120, 116, 118 ],
[ 26, 30, 25, 29, 28, 32, 27, 31, 61, 63, 57, 59, 62, 64, 58, 60, 89, 91,
93, 95, 90, 92, 94, 96, 3, 1, 7, 5, 4, 2, 8, 6, 40, 38, 39, 37, 36, 34,
35, 33, 71, 69, 67, 65, 72, 70, 68, 66, 99, 97, 103, 101, 104, 102,
100, 98, 11, 15, 12, 16, 9, 13, 10, 14, 44, 48, 43, 47, 42, 46, 41, 45,
80, 76, 78, 74, 79, 75, 77, 73, 112, 106, 110, 108, 111, 105, 109, 107,
17, 21, 18, 22, 19, 23, 20, 24, 50, 56, 49, 55, 52, 54, 51, 53, 86, 82,
88, 84, 87, 83, 85, 81, 118, 116, 120, 114, 119, 113, 117, 115 ],
[ 27, 32, 28, 31, 25, 30, 26, 29, 73, 75, 78, 80, 74, 76, 77, 79, 110, 112,
105, 107, 109, 111, 106, 108, 33, 36, 37, 40, 34, 35, 38, 39, 5, 8, 6,
7, 1, 4, 2, 3, 113, 115, 118, 120, 114, 116, 117, 119, 86, 88, 81, 83,
82, 84, 85, 87, 10, 16, 9, 15, 12, 14, 11, 13, 42, 47, 41, 48, 44, 45,
43, 46, 59, 64, 57, 62, 60, 63, 58, 61, 91, 94, 89, 96, 92, 93, 90, 95,
52, 56, 51, 55, 49, 53, 50, 54, 20, 21, 19, 22, 17, 24, 18, 23, 99,
104, 97, 102, 98, 101, 100, 103, 67, 70, 65, 72, 66, 71, 68, 69 ],
[ 28, 31, 27, 32, 26, 29, 25, 30, 77, 79, 74, 76, 78, 80, 73, 75, 106, 108,
109, 111, 105, 107, 110, 112, 35, 34, 39, 38, 36, 33, 40, 37, 8, 5, 7,
6, 4, 1, 3, 2, 119, 117, 116, 114, 120, 118, 115, 113, 84, 82, 87, 85,
88, 86, 83, 81, 12, 14, 11, 13, 10, 16, 9, 15, 43, 46, 44, 45, 41, 48,
42, 47, 64, 59, 62, 57, 63, 60, 61, 58, 96, 89, 94, 91, 95, 90, 93, 92,
50, 54, 49, 53, 51, 55, 52, 56, 17, 24, 18, 23, 20, 21, 19, 22, 102,
97, 104, 99, 103, 100, 101, 98, 70, 67, 72, 65, 71, 66, 69, 68 ],
[ 29, 25, 30, 26, 32, 28, 31, 27, 65, 67, 71, 69, 66, 68, 72, 70, 103, 101,
97, 99, 104, 102, 98, 100, 2, 4, 8, 6, 1, 3, 7, 5, 39, 37, 40, 38, 34,
36, 33, 35, 57, 59, 63, 61, 58, 60, 64, 62, 95, 93, 89, 91, 90, 92, 96,
94, 41, 45, 42, 46, 44, 48, 43, 47, 9, 13, 10, 14, 12, 16, 11, 15, 115,
117, 113, 119, 116, 118, 114, 120, 83, 87, 81, 85, 84, 88, 82, 86, 51,
53, 52, 54, 50, 56, 49, 55, 19, 23, 20, 24, 18, 22, 17, 21, 107, 109,
105, 111, 106, 112, 108, 110, 75, 79, 73, 77, 74, 78, 76, 80 ],
[ 30, 26, 29, 25, 31, 27, 32, 28, 69, 71, 67, 65, 70, 72, 68, 66, 99, 97,
101, 103, 100, 98, 102, 104, 4, 2, 6, 8, 3, 1, 5, 7, 38, 40, 37, 39,
35, 33, 36, 34, 63, 61, 57, 59, 64, 62, 58, 60, 89, 91, 95, 93, 96, 94,
90, 92, 43, 47, 44, 48, 42, 46, 41, 45, 12, 16, 11, 15, 9, 13, 10, 14,
120, 114, 118, 116, 119, 113, 117, 115, 88, 84, 86, 82, 87, 83, 85, 81,
49, 55, 50, 56, 52, 54, 51, 53, 18, 22, 17, 21, 19, 23, 20, 24, 110,
108, 112, 106, 111, 105, 109, 107, 78, 74, 80, 76, 79, 75, 77, 73 ],
[ 31, 28, 32, 27, 30, 25, 29, 26, 81, 83, 88, 86, 82, 84, 87, 85, 120, 118,
113, 115, 119, 117, 114, 116, 34, 35, 40, 37, 33, 36, 39, 38, 7, 6, 8,
5, 2, 3, 1, 4, 105, 107, 112, 110, 106, 108, 111, 109, 80, 78, 73, 75,
74, 76, 79, 77, 42, 48, 41, 47, 43, 45, 44, 46, 10, 15, 9, 16, 11, 14,
12, 13, 99, 102, 97, 104, 100, 101, 98, 103, 67, 72, 65, 70, 68, 71,
66, 69, 20, 22, 19, 21, 18, 24, 17, 23, 52, 55, 51, 56, 50, 53, 49, 54,
59, 62, 57, 64, 58, 63, 60, 61, 91, 96, 89, 94, 90, 93, 92, 95 ],
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117, 119, 115, 113, 118, 120, 36, 33, 38, 39, 35, 34, 37, 40, 6, 7, 5,
8, 3, 2, 4, 1, 111, 109, 106, 108, 112, 110, 105, 107, 74, 76, 79, 77,
80, 78, 73, 75, 44, 46, 43, 45, 41, 47, 42, 48, 11, 14, 12, 13, 10, 15,
9, 16, 104, 97, 102, 99, 103, 98, 101, 100, 72, 67, 70, 65, 71, 68, 69,
66, 18, 24, 17, 23, 20, 22, 19, 21, 49, 54, 50, 53, 51, 56, 52, 55, 62,
59, 64, 57, 63, 58, 61, 60, 94, 89, 96, 91, 95, 92, 93, 90 ],
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115, 113, 117, 119, 120, 118, 27, 32, 25, 30, 31, 28, 29, 26, 1, 4, 3,
2, 5, 8, 7, 6, 107, 105, 108, 106, 110, 112, 109, 111, 82, 84, 83, 81,
86, 88, 87, 85, 59, 60, 57, 58, 64, 63, 62, 61, 99, 98, 97, 100, 104,
101, 102, 103, 10, 12, 9, 11, 16, 14, 15, 13, 52, 49, 51, 50, 56, 53,
55, 54, 91, 92, 89, 90, 94, 93, 96, 95, 67, 66, 65, 68, 70, 71, 72, 69,
42, 44, 41, 43, 47, 45, 48, 46, 20, 17, 19, 18, 21, 24, 22, 23 ],
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119, 117, 113, 115, 116, 114, 31, 28, 29, 26, 27, 32, 25, 30, 4, 1, 2,
3, 8, 5, 6, 7, 109, 111, 110, 112, 108, 106, 107, 105, 88, 86, 85, 87,
84, 82, 81, 83, 60, 59, 58, 57, 63, 64, 61, 62, 100, 97, 98, 99, 103,
102, 101, 104, 16, 14, 15, 13, 10, 12, 9, 11, 55, 54, 56, 53, 51, 50,
52, 49, 90, 89, 92, 91, 95, 96, 93, 94, 66, 67, 68, 65, 71, 70, 69, 72,
48, 46, 47, 45, 41, 43, 42, 44, 21, 24, 22, 23, 20, 17, 19, 18 ],
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107, 105, 111, 109, 112, 110, 28, 31, 30, 25, 32, 27, 26, 29, 3, 2, 1,
4, 6, 7, 8, 5, 115, 113, 114, 116, 118, 120, 119, 117, 76, 74, 75, 73,
78, 80, 77, 79, 91, 90, 89, 92, 96, 93, 94, 95, 67, 68, 65, 66, 72, 71,
70, 69, 52, 50, 51, 49, 55, 53, 56, 54, 10, 11, 9, 12, 15, 14, 16, 13,
59, 58, 57, 60, 62, 63, 64, 61, 99, 100, 97, 98, 102, 101, 104, 103,
20, 18, 19, 17, 22, 24, 21, 23, 42, 43, 41, 44, 48, 45, 47, 46 ],
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111, 109, 107, 105, 108, 106, 32, 27, 26, 29, 28, 31, 30, 25, 2, 3, 4,
1, 7, 6, 5, 8, 117, 119, 120, 118, 116, 114, 113, 115, 78, 80, 77, 79,
76, 74, 75, 73, 92, 89, 90, 91, 95, 94, 93, 96, 68, 67, 66, 65, 71, 72,
69, 70, 56, 54, 55, 53, 51, 49, 52, 50, 15, 14, 16, 13, 10, 11, 9, 12,
58, 59, 60, 57, 63, 62, 61, 64, 98, 97, 100, 99, 103, 104, 101, 102,
22, 24, 21, 23, 20, 18, 19, 17, 47, 46, 48, 45, 41, 44, 42, 43 ],
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99, 97, 98, 100, 104, 102, 5, 7, 1, 3, 8, 6, 4, 2, 25, 29, 30, 26, 27,
31, 32, 28, 67, 65, 71, 69, 70, 72, 66, 68, 93, 95, 91, 89, 94, 96, 92,
90, 75, 79, 73, 77, 80, 76, 78, 74, 115, 117, 113, 119, 120, 114, 118,
116, 9, 13, 10, 14, 15, 11, 16, 12, 51, 53, 52, 54, 55, 49, 56, 50, 83,
87, 81, 85, 86, 82, 88, 84, 107, 109, 105, 111, 110, 108, 112, 106, 19,
23, 20, 24, 21, 17, 22, 18, 41, 45, 42, 46, 47, 43, 48, 44 ],
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103, 101, 102, 104, 100, 98, 7, 5, 3, 1, 6, 8, 2, 4, 30, 26, 25, 29,
32, 28, 27, 31, 69, 71, 65, 67, 68, 66, 72, 70, 91, 89, 93, 95, 92, 90,
94, 96, 76, 80, 74, 78, 79, 75, 77, 73, 116, 118, 114, 120, 119, 113,
117, 115, 15, 11, 16, 12, 9, 13, 10, 14, 56, 50, 55, 49, 52, 54, 51,
53, 82, 86, 84, 88, 87, 83, 85, 81, 106, 112, 108, 110, 111, 105, 109,
107, 21, 17, 22, 18, 19, 23, 20, 24, 48, 44, 47, 43, 42, 46, 41, 45 ],
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91, 89, 92, 90, 96, 94, 6, 8, 4, 2, 7, 5, 1, 3, 29, 25, 26, 30, 28, 32,
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100, 107, 109, 105, 111, 112, 106, 110, 108, 83, 87, 81, 85, 88, 84,
86, 82, 51, 53, 52, 54, 56, 50, 55, 49, 9, 13, 10, 14, 16, 12, 15, 11,
115, 117, 113, 119, 118, 116, 120, 114, 75, 79, 73, 77, 78, 74, 80, 76,
41, 45, 42, 46, 48, 44, 47, 43, 19, 23, 20, 24, 22, 18, 21, 17 ],
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28, 32, 61, 63, 59, 57, 60, 58, 62, 64, 97, 99, 101, 103, 100, 98, 104,
102, 108, 110, 106, 112, 111, 105, 109, 107, 84, 88, 82, 86, 87, 83,
85, 81, 55, 49, 56, 50, 52, 54, 51, 53, 16, 12, 15, 11, 9, 13, 10, 14,
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49, 79, 85, 29, 38, 60, 66, 56, 47, 113, 107, 21, 16, 83, 73, 62, 72,
96, 102, 15, 22, 48, 55, 77, 87, 12, 17, 92, 98, 26, 39, 18, 11, 117,
111, 68, 58, 40, 25, 116, 54, 82, 23, 103, 33, 69, 4, 76, 24, 106, 53,
63, 3, 93, 34, 32, 89, 8, 65, 41, 110, 19, 86, 7, 59, 31, 99, 20, 80,
42, 120, 74, 14, 108, 45, 71, 2, 101, 35, 114, 46, 84, 13, 95, 36, 61,
1, 6, 67, 28, 91, 10, 78, 52, 118, 27, 97, 5, 57, 51, 112, 9, 88 ],
[ 105, 119, 74, 88, 90, 104, 57, 71, 94, 100, 27, 35, 109, 115, 45, 51, 46,
52, 78, 84, 28, 36, 61, 67, 76, 86, 11, 21, 107, 117, 41, 53, 42, 54,
12, 22, 92, 102, 59, 69, 31, 33, 96, 98, 15, 17, 80, 82, 111, 113, 16,
18, 32, 34, 63, 65, 7, 72, 39, 103, 23, 87, 55, 120, 56, 106, 24, 73,
40, 89, 8, 58, 68, 3, 93, 25, 83, 19, 110, 47, 116, 48, 77, 20, 99, 26,
62, 4, 70, 5, 101, 37, 75, 9, 108, 43, 118, 44, 85, 10, 91, 38, 60, 6,
1, 66, 29, 95, 13, 79, 49, 114, 50, 112, 14, 81, 30, 97, 2, 64 ],
[ 106, 120, 73, 87, 89, 103, 58, 72, 110, 116, 45, 52, 93, 99, 27, 36, 28,
35, 62, 68, 46, 51, 77, 83, 108, 118, 41, 54, 75, 85, 11, 22, 12, 21,
42, 53, 60, 70, 91, 101, 15, 18, 79, 81, 31, 34, 95, 97, 64, 66, 32,
33, 16, 17, 112, 114, 8, 71, 40, 104, 24, 88, 56, 119, 55, 105, 23, 74,
39, 90, 7, 57, 84, 20, 109, 47, 67, 4, 94, 25, 100, 26, 61, 3, 115, 48,
78, 19, 102, 38, 69, 6, 107, 43, 76, 9, 86, 10, 117, 44, 59, 5, 92, 37,
50, 113, 13, 80, 29, 96, 2, 65, 1, 63, 30, 98, 14, 82, 49, 111 ],
[ 107, 117, 76, 86, 92, 102, 59, 69, 98, 96, 35, 27, 113, 111, 52, 46, 51,
45, 82, 80, 36, 28, 65, 63, 74, 88, 12, 22, 105, 119, 42, 54, 41, 53,
11, 21, 90, 104, 57, 71, 33, 31, 100, 94, 18, 16, 84, 78, 115, 109, 17,
15, 34, 32, 67, 61, 39, 101, 7, 70, 56, 118, 24, 85, 23, 75, 55, 108,
8, 60, 40, 91, 95, 25, 66, 3, 112, 48, 81, 20, 79, 19, 114, 47, 64, 4,
97, 26, 103, 37, 72, 5, 106, 44, 73, 10, 87, 9, 120, 43, 58, 6, 89, 38,
29, 93, 1, 68, 50, 116, 14, 77, 13, 83, 49, 110, 2, 62, 30, 99 ],
[ 108, 118, 75, 85, 91, 101, 60, 70, 114, 112, 51, 46, 97, 95, 36, 27, 35,
28, 66, 64, 52, 45, 81, 79, 106, 120, 42, 53, 73, 87, 12, 21, 11, 22,
41, 54, 58, 72, 89, 103, 17, 16, 83, 77, 34, 31, 99, 93, 68, 62, 33,
32, 18, 15, 116, 110, 40, 102, 8, 69, 55, 117, 23, 86, 24, 76, 56, 107,
7, 59, 39, 92, 111, 48, 82, 19, 96, 25, 65, 4, 63, 3, 98, 26, 80, 20,
113, 47, 71, 6, 104, 38, 74, 10, 105, 44, 119, 43, 88, 9, 90, 37, 57,
5, 14, 78, 49, 115, 2, 67, 29, 94, 30, 100, 1, 61, 50, 109, 13, 84 ],
[ 109, 115, 78, 84, 94, 100, 61, 67, 90, 104, 28, 36, 105, 119, 46, 52, 45,
51, 74, 88, 27, 35, 57, 71, 82, 80, 21, 11, 113, 111, 54, 42, 53, 41,
22, 12, 98, 96, 65, 63, 34, 32, 102, 92, 17, 15, 86, 76, 117, 107, 18,
16, 33, 31, 69, 59, 23, 83, 56, 116, 7, 68, 40, 99, 39, 93, 8, 62, 55,
110, 24, 77, 87, 19, 106, 48, 72, 3, 89, 26, 103, 25, 58, 4, 120, 47,
73, 20, 79, 9, 112, 44, 66, 5, 97, 38, 95, 37, 64, 6, 114, 43, 81, 10,
13, 75, 50, 118, 1, 70, 30, 91, 29, 101, 2, 60, 49, 108, 14, 85 ],
[ 110, 116, 77, 83, 93, 99, 62, 68, 106, 120, 46, 51, 89, 103, 28, 35, 27,
36, 58, 72, 45, 52, 73, 87, 114, 112, 53, 42, 81, 79, 22, 11, 21, 12,
54, 41, 66, 64, 97, 95, 18, 15, 85, 75, 33, 32, 101, 91, 70, 60, 34,
31, 17, 16, 118, 108, 24, 84, 55, 115, 8, 67, 39, 100, 40, 94, 7, 61,
56, 109, 23, 78, 71, 4, 90, 26, 88, 20, 105, 48, 119, 47, 74, 19, 104,
25, 57, 3, 111, 44, 80, 9, 98, 37, 65, 6, 63, 5, 96, 38, 82, 10, 113,
43, 30, 92, 2, 69, 49, 117, 13, 76, 14, 86, 50, 107, 1, 59, 29, 102 ],
[ 111, 113, 80, 82, 96, 98, 63, 65, 102, 92, 36, 28, 117, 107, 51, 45, 52,
46, 86, 76, 35, 27, 69, 59, 84, 78, 22, 12, 115, 109, 53, 41, 54, 42,
21, 11, 100, 94, 67, 61, 32, 34, 90, 104, 16, 18, 74, 88, 105, 119, 15,
17, 31, 33, 57, 71, 55, 114, 24, 81, 40, 97, 7, 66, 8, 64, 39, 95, 23,
79, 56, 112, 108, 47, 85, 20, 91, 26, 70, 3, 60, 4, 101, 25, 75, 19,
118, 48, 110, 43, 77, 10, 99, 38, 68, 5, 62, 6, 93, 37, 83, 9, 116, 44,
49, 120, 14, 73, 30, 89, 1, 72, 2, 58, 29, 103, 13, 87, 50, 106 ],
[ 112, 114, 79, 81, 95, 97, 64, 66, 118, 108, 52, 45, 101, 91, 35, 28, 36,
27, 70, 60, 51, 46, 85, 75, 116, 110, 54, 41, 83, 77, 21, 12, 22, 11,
53, 42, 68, 62, 99, 93, 16, 17, 73, 87, 32, 33, 89, 103, 58, 72, 31,
34, 15, 18, 106, 120, 56, 113, 23, 82, 39, 98, 8, 65, 7, 63, 40, 96,
24, 80, 55, 111, 92, 26, 69, 4, 107, 47, 86, 19, 76, 20, 117, 48, 59,
3, 102, 25, 78, 10, 109, 43, 67, 6, 100, 37, 94, 38, 61, 5, 115, 44,
84, 9, 2, 71, 30, 90, 14, 74, 50, 119, 49, 105, 13, 88, 29, 104, 1, 57 ]
, [ 113, 111, 84, 78, 102, 92, 71, 57, 96, 98, 31, 33, 107, 117, 41, 53,
54, 42, 88, 74, 34, 32, 67, 61, 80, 82, 15, 17, 109, 115, 45, 51, 52,
46, 18, 16, 104, 90, 69, 59, 27, 35, 94, 100, 11, 21, 76, 86, 119, 105,
22, 12, 36, 28, 65, 63, 72, 7, 101, 37, 83, 19, 114, 49, 112, 50, 77,
20, 91, 38, 58, 8, 3, 68, 29, 95, 23, 87, 43, 108, 44, 118, 24, 73, 30,
97, 4, 62, 5, 70, 39, 103, 13, 79, 47, 110, 48, 116, 14, 81, 40, 89, 6,
60, 66, 1, 93, 25, 75, 9, 120, 55, 106, 56, 85, 10, 99, 26, 64, 2 ],
[ 114, 112, 83, 77, 101, 91, 72, 58, 108, 118, 41, 54, 95, 97, 31, 34, 33,
32, 68, 62, 53, 42, 87, 73, 110, 116, 45, 52, 79, 81, 15, 18, 17, 16,
51, 46, 70, 60, 103, 89, 11, 22, 75, 85, 27, 36, 93, 99, 66, 64, 35,
28, 21, 12, 120, 106, 71, 8, 102, 38, 84, 20, 113, 50, 111, 49, 78, 19,
92, 37, 57, 7, 24, 88, 43, 107, 4, 67, 29, 96, 30, 98, 3, 61, 44, 117,
23, 74, 40, 104, 6, 69, 47, 109, 13, 80, 14, 82, 48, 115, 5, 59, 39,
90, 119, 56, 76, 9, 94, 25, 65, 2, 63, 1, 100, 26, 86, 10, 105, 55 ],
[ 115, 109, 82, 80, 104, 90, 69, 59, 100, 94, 33, 31, 119, 105, 54, 42, 41,
53, 76, 86, 32, 34, 63, 65, 78, 84, 16, 18, 111, 113, 46, 52, 51, 45,
17, 15, 102, 92, 71, 57, 35, 27, 98, 96, 22, 12, 88, 74, 107, 117, 11,
21, 28, 36, 61, 67, 103, 37, 70, 7, 116, 50, 81, 20, 79, 19, 110, 49,
60, 8, 89, 38, 29, 93, 3, 66, 44, 106, 24, 85, 23, 75, 43, 120, 4, 64,
30, 99, 39, 101, 5, 72, 48, 112, 14, 77, 13, 83, 47, 114, 6, 58, 40,
91, 95, 25, 68, 1, 118, 56, 73, 10, 87, 9, 108, 55, 62, 2, 97, 26 ],
[ 116, 110, 81, 79, 103, 89, 70, 60, 120, 106, 53, 42, 99, 93, 34, 31, 32,
33, 64, 66, 41, 54, 75, 85, 112, 114, 46, 51, 77, 83, 16, 17, 18, 15,
52, 45, 72, 58, 101, 91, 21, 12, 87, 73, 36, 27, 97, 95, 62, 68, 28,
35, 11, 22, 108, 118, 104, 38, 69, 8, 115, 49, 82, 19, 80, 20, 109, 50,
59, 7, 90, 37, 44, 105, 23, 86, 29, 94, 4, 65, 3, 63, 30, 100, 24, 76,
43, 119, 6, 71, 40, 102, 14, 78, 48, 111, 47, 113, 13, 84, 39, 92, 5,
57, 74, 10, 117, 55, 67, 2, 96, 25, 98, 26, 61, 1, 107, 56, 88, 9 ],
[ 117, 107, 88, 74, 98, 96, 67, 61, 92, 102, 32, 34, 111, 113, 42, 54, 53,
41, 84, 78, 33, 31, 71, 57, 86, 76, 17, 15, 119, 105, 52, 46, 45, 51,
16, 18, 94, 100, 63, 65, 36, 28, 104, 90, 21, 11, 82, 80, 109, 115, 12,
22, 27, 35, 59, 69, 87, 19, 118, 50, 68, 7, 97, 38, 95, 37, 62, 8, 108,
49, 73, 20, 23, 83, 44, 112, 3, 72, 30, 91, 29, 101, 4, 58, 43, 114,
24, 77, 13, 75, 48, 106, 5, 66, 40, 99, 39, 93, 6, 64, 47, 120, 14, 85,
79, 9, 116, 56, 70, 1, 89, 26, 103, 25, 60, 2, 110, 55, 81, 10 ],
[ 118, 108, 87, 73, 97, 95, 68, 62, 112, 114, 42, 53, 91, 101, 32, 33, 34,
31, 72, 58, 54, 41, 83, 77, 120, 106, 51, 46, 85, 75, 18, 15, 16, 17,
45, 52, 64, 66, 93, 99, 22, 11, 81, 79, 35, 28, 103, 89, 60, 70, 27,
36, 12, 21, 110, 116, 88, 20, 117, 49, 67, 8, 98, 37, 96, 38, 61, 7,
107, 50, 74, 19, 4, 71, 30, 92, 24, 84, 44, 111, 43, 113, 23, 78, 29,
102, 3, 57, 48, 105, 13, 76, 39, 100, 6, 65, 5, 63, 40, 94, 14, 86, 47,
119, 90, 26, 69, 2, 115, 55, 80, 9, 82, 10, 109, 56, 59, 1, 104, 25 ],
[ 119, 105, 86, 76, 100, 94, 65, 63, 104, 90, 34, 32, 115, 109, 53, 41, 42,
54, 80, 82, 31, 33, 59, 69, 88, 74, 18, 16, 117, 107, 51, 45, 46, 52,
15, 17, 96, 98, 61, 67, 28, 36, 92, 102, 12, 22, 78, 84, 113, 111, 21,
11, 35, 27, 71, 57, 120, 49, 85, 20, 99, 38, 66, 7, 64, 8, 93, 37, 75,
19, 106, 50, 43, 110, 24, 81, 30, 89, 3, 70, 4, 60, 29, 103, 23, 79,
44, 116, 47, 108, 14, 73, 40, 97, 5, 68, 6, 62, 39, 95, 13, 87, 48,
118, 114, 55, 77, 10, 91, 26, 72, 1, 58, 2, 101, 25, 83, 9, 112, 56 ],
[ 120, 106, 85, 75, 99, 93, 66, 64, 116, 110, 54, 41, 103, 89, 33, 32, 31,
34, 60, 70, 42, 53, 79, 81, 118, 108, 52, 45, 87, 73, 17, 16, 15, 18,
46, 51, 62, 68, 95, 97, 12, 21, 77, 83, 28, 35, 91, 101, 72, 58, 36,
27, 22, 11, 114, 112, 119, 50, 86, 19, 100, 37, 65, 8, 63, 7, 94, 38,
76, 20, 105, 49, 30, 90, 4, 69, 43, 109, 23, 82, 24, 80, 44, 115, 3,
59, 29, 104, 14, 74, 47, 107, 6, 67, 39, 98, 40, 96, 5, 61, 48, 117,
13, 88, 71, 2, 92, 26, 78, 10, 113, 56, 111, 55, 84, 9, 102, 25, 57, 1
] ]
]
# end of the loops
]
];

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#############################################################################
##
#W rcc.tbl Small RCC loops K. Artic / G. P. Nagy / P. Vojtechovsky
##
#H @(#)$Id: rcc.tbl, v 3.0.0 2015/06/17 gap Exp $
##
#Y Copyright (C) 2015, K. Artic (RWTH Aachen, Germany)
#Y G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
#############################################################################
## Binding global variables
## LOOPS_rcc_data
## LOOPS_rcc_transitive_groups
## LOOPS_rcc_sections
## LOOPS_rcc_conjugacy_classes
# Right sections of RCC loops are unions of conjugacy classes in some transitive groups.
#
# LOOPS_rcc_data knows which orders n are implemented, how many rcc loops of order
# n are there in the library, which transitive groups are used for a given n
# to build the loops, and what is the first index of a loop associated with
# a given transitive group. This variable is read into memory upon loading LOOPS.
# (PROG) For easier reading, we label degrees of transitive groups using "degree n",
# and we include the entry m for TransitiveGroup( n, m ) alongside representatives of conjugacy classes.
#
# LOOPS_rcc_transitive_groups contains representatives of conjugacy classes in certain transitive groups.
# It is read only when user calls RCCLoop(n,m) for the first time, in which case
# data for all transitive groups are read into memory.
#
# LOOPS_rcc_sections contains binary selector vectors that correspond to representatives
# of conjugacy classes whose union gives the right section of an RCC loop.
# File "data/rcc/sectionsN.M.tbl" contains data for the binary selector vectors of all RCC loops
# constructed from TransitiveGroup( N, M ).
# The data is stored as a long string with " " used as separators.
# If " " (doublespace) occurs, then the next substring is compactified: "aB#x" means "a B # x".
# Each unpacked substring corresponds to an integer, coded in base 91 (see convert.gi why base 91 is used).
# The integers correspond to a difference sequence a_1, a_2 - a_1, a_3 - a_2, ...
# To obtain the binary selectors, we:
# - reconstruct the sequence a_1, a_2, a_3, ... from the difference sequence,
# - convert each a_i to a binary string of canonical length (= number of conjugacy classes stored for the given transitive group)
# The sequence a_i is populated on demand, one transitive group at a time.
# The binary strings are calculated on demand, one loop (section) at a time.
#
# LOOPS_rcc_conjugacy_classes is of the form [ [n,g], c], where [n,g] specifies the transitive group G used
# most recently, and c are the conjugacy classes of G. This speeds up activation of the library loops
# when they are constructed sequentially.
LOOPS_rcc_data := [
# item LOOPS_rcc_data[ 1 ], implemented orders
[ 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27],
# item LOOPS_rcc_data[ 2 ], number of loops of given order
[ 3, 19, 5, 16, 155, 97, 17, 6317, 1901, 8248, 119, 10487, 471995, 119, 151971, 152701],
# item LOOPS_rcc_data[ 3 ], info on transitive groups and indices
[
# order n=6 metadata
[
[ 5 ], # index m for TransitiveGroup(n,m)
[ 1 ] # first index of a loop constructed from that transitive group
],
# order 8 metadata
[
[ 7, 9, 10, 11, 13, 17, 23 ],
[ 1, 4, 7, 10, 13, 14, 18 ]
],
# order 9 metadata
[
[ 4, 6, 7 ],
[ 1, 3, 5 ]
],
# order 10 metadata
[
[ 4, 6 ],
[ 1, 3 ]
],
# order 12 metadata
[
[ 6, 10, 11, 14, 15, 18, 19, 20, 26, 28, 37, 39, 42, 85, 117, 124 ],
[ 1, 3, 5, 9, 27, 29, 56, 83, 85, 92, 94, 96, 98, 152, 153, 154 ]
],
# order 14 metadata
[
[ 4, 5, 8 ],
[ 1, 3, 5 ]
],
# order 15 metadata
[
[ 3, 4, 8, 15 ],
[ 1, 3, 8, 15 ]
],
# order 16 metadata
[
[ 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 57, 58, 59, 60, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 84, 87, 89, 91, 93, 95, 96, 97, 100, 102, 103, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 155, 161, 163, 179, 180, 188, 189, 196, 197, 198, 199, 201, 204, 205, 207, 211, 254, 260, 289, 296, 325, 328, 422 ],
[ 1, 39, 85, 109, 143, 195, 209, 233, 264, 286, 317, 336, 340, 342, 346, 349, 352, 361, 364, 372, 376, 382, 385, 389, 395, 398, 406, 415, 419, 422, 424, 433, 436, 444, 450, 452, 455, 461, 470, 475, 476, 477, 817, 1393, 1737, 2323, 2334, 2348, 2368, 2384, 2412, 2422, 2437, 2477, 2548, 2576, 2596, 2610, 2628, 2638, 2649, 2698, 2718, 2722, 2734, 2758, 2770, 2794, 2818, 2846, 2851, 2922, 2942, 3070, 3102, 3250, 3390, 3430, 3506, 3524, 3536, 3564, 3660, 3676, 3686, 3798, 3818, 3819, 3820, 3825, 3830, 3834, 3836, 3841, 3846, 3848, 4926, 5026, 5138, 5238, 5302, 5534, 5758, 5886, 5894, 5910, 6302, 6306, 6310, 6314 ]
],
# order 18 metadata
[
[ 6, 10, 11, 14, 15, 16, 17, 18, 19, 21, 22, 23, 28, 29, 43, 46, 74, 78, 79, 80, 81, 83, 96 ],
[ 1, 19, 20, 22, 75, 102, 250, 343, 351, 364, 368, 371, 384, 386, 388, 402, 438, 1592, 1604, 1771, 1837, 1876, 1900 ]
],
# order 20 metadata
[
[ 6, 8, 9, 11, 12, 13, 14, 16, 20, 21, 22, 24, 25, 29, 42, 51, 53, 58, 59, 102, 182 ],
[ 1, 5, 7, 12, 16, 154, 160, 173, 183, 211, 215, 219, 1222, 2225, 2288, 2292, 2294, 8214, 8228, 8242, 8246 ]
],
# order 21 metadata
[
[ 3, 4, 6, 7, 9, 13, 21 ],
[ 1, 3, 6, 19, 23, 33, 116 ]
],
# order 22 metadata
[
[ 4, 5, 7 ],
[ 1, 5, 9 ]
],
# order 24 metadata
[
[ 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 51, 52, 53, 54, 55, 64, 65, 66, 67, 68, 69, 70, 71, 77, 78, 83, 84, 92, 95, 100, 101, 102, 104, 106, 109, 112, 113, 114, 115, 116, 117, 118, 119, 123, 125, 134, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 208, 209, 210, 211, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 235, 236, 237, 245, 246, 247, 248, 250, 252, 253, 269, 271, 282, 335, 360, 361, 362, 363, 563, 576, 588, 606, 607, 608, 609, 610, 611, 616, 626, 627, 628, 629, 668, 670, 671, 673, 678, 684, 685, 700, 705, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1338, 1346, 1348, 1353, 1355, 1384, 1507, 2622, 2623, 2624, 2625, 2824 ],
[ 1, 352, 973, 1001, 1022, 1037, 1039, 1042, 1046, 1049, 1055, 1090, 1093, 1096, 1104, 1108, 1154, 1158, 1779, 2130, 2148, 2166, 2168, 2170, 2185, 2206, 2207, 2216, 2218, 2246, 2255, 2259, 2269, 2400, 4087, 5110, 5241, 5682, 7249, 7251, 7319, 7504, 7508, 7511, 7514, 182744, 182912, 183000, 183257, 183345, 183538, 183546, 183554, 185630, 192078, 193114, 194186, 194223, 194349, 194359, 194373, 194377, 194379, 194713, 194835, 194842, 194849, 194851, 194853, 194860, 195113, 195117, 195121, 195310, 202098, 208886, 221577, 232178, 232214, 232250, 232254, 232298, 232324, 232360, 232368, 232420, 232456, 232508, 232512, 232526, 232566, 232606, 232642, 232778, 232914, 243443, 256068, 256075, 256077, 256094, 256102, 256110, 256119, 257305, 257357, 257649, 257673, 257713, 257776, 257780, 336620, 336828, 337212, 337420, 337540, 337620, 337740, 337796, 367925, 469287, 470113, 471119, 471120, 471121, 471201, 471257, 471267, 471283, 471291, 471348, 471350, 471355, 471391, 471393, 471412, 471417, 471436, 471455, 471491, 471493, 471512, 471514, 471516, 471518, 471524, 471527, 471911, 471915, 471929, 471953, 471967, 471991 ]
],
# order 25 metadata
[
[ 3, 7, 13, 14 ],
[ 1, 6, 70, 109 ]
],
# order 26 metadata
[
[ 4, 5, 6, 8, 11 ],
[ 1, 3, 5, 7, 11 ]
],
# order 27 metadata
[
[ 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 27, 28, 33, 36, 57, 60, 73, 75, 78, 86, 89, 95, 97, 101, 105, 107, 109, 110, 113, 114 ],
[ 1, 3, 5, 56, 58, 61, 78, 361, 568, 715, 717, 719, 1126, 1128, 1130, 1704, 1708, 1743, 1837, 1884, 1938, 2043, 2057, 2058, 2220, 2223, 2236, 19157, 19243, 19333, 19346, 19367, 152689 ],
]
#end of the loops
]
];
LOOPS_rcc_transitive_groups := [];
LOOPS_rcc_sections := List( [1..Length(LOOPS_rcc_data[1])], i-> [] );
LOOPS_rcc_conjugacy_classes := [ [], [] ];

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LOOPS_aux := " 52";

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data/rcc/sections10.6.tbl Normal file
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LOOPS_aux := "Sn 3H 2} 85 3H5 2@ 3 16 PaK";

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data/rcc/sections12.10.tbl Normal file
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LOOPS_aux := "2P R";

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data/rcc/sections12.11.tbl Normal file
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LOOPS_aux := "7W oI 2:";

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data/rcc/sections12.117.tbl Normal file
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LOOPS_aux := "F";

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data/rcc/sections12.124.tbl Normal file
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LOOPS_aux := " 52";

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LOOPS_aux := "y3 X8{8P8 3- X8{X8 F0 X 1b 4M 1b";

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data/rcc/sections12.15.tbl Normal file
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LOOPS_aux := " N8";

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LOOPS_aux := "1O/ 5D5 1J If5D5 Em I 1] Q1 5D5 1E 5D5 9# I 5W I 1J I";

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data/rcc/sections12.19.tbl Normal file
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LOOPS_aux := "1O/ 5D5 1E 5D5f5D5 8} I 1J I 3` I 1J IkI RK 5D5 Gw";

1
data/rcc/sections12.20.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := " R5";

1
data/rcc/sections12.26.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "7E 7vW79 2/";

1
data/rcc/sections12.28.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " hE";

1
data/rcc/sections12.37.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " z2";

1
data/rcc/sections12.39.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " z2";

2
data/rcc/sections12.42.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "G<p H 1q UK j* L@ A` 3$ 6}r H 1n 3UK ji 3H5 J. 28 8: P 1i X 3$ 1n 30{ H 1n 3UK ji 3H5 J. 28 8: P 1i X 3$ 1n 12] H\
1q UK j* L@ A` 3$";

1
data/rcc/sections12.6.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " D2";

1
data/rcc/sections12.85.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "7";

1
data/rcc/sections14.4.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " 52";

1
data/rcc/sections14.5.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " B4";

3
data/rcc/sections14.8.tbl Normal file
View file

@ -0,0 +1,3 @@
LOOPS_aux := "6}FD 3H 2` 3 1V u ~& 5 dj 4L IJ 2@ $o[ 1V Vct BF 1&W> 3H5 2@ 3 16 PaK ~j 3H5 dg 3 4L z HO P 2@ 1+ 6Q K 2` 19 $ZZ \
3H5 2@ 3 16 PaK T#C 3H5 1iA 3 MF P A` K D]5 3 4L z ~& 3 z[ 4_ 6Q 4O 60. P 2@ 1+ ~& P dg 4_ Si 3F 268 K 2` 19 10Z K d\
l 4O H_ 3F";

1
data/rcc/sections15.15.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " J84";

1
data/rcc/sections15.3.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "14 Z";

1
data/rcc/sections15.4.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "y9 1f 5w U MO";

1
data/rcc/sections15.8.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "1m 4z4S4C";

1
data/rcc/sections16.100.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Zp 396k396 1> K2w";

1
data/rcc/sections16.102.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "nu G84aG84 Lk G84aG84 AM GmG 4) GmG";

1
data/rcc/sections16.103.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "aS 4 6~ 4 2+ 4219421";

1
data/rcc/sections16.105.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "@oX 2[ 17H G84 2# 84 1X 4% S% 2[ AWT 2[ K=y O 2' C 1X ) 89t 2`";

1
data/rcc/sections16.106.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := ")s 1F1 9y 1F1 6, 4219421 2p 4219421";

1
data/rcc/sections16.107.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Cm+ 1 8d 1 E5 1 8d 1 1w8 1 8d 1 E5 1 8d 1 1D1 4yc1F 7D 4yc1F";

1
data/rcc/sections16.108.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "4? 2 13 21";

2
data/rcc/sections16.109.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "?I@ 2/ PT %a AE 1P 4W 1P 2M a U`2 G B7 G 4S 4% 26 4% Oq 4%aG 9_ 4%aG 4S 4%aG 1j 4%aG 8HT G B7 G 4S 4% 26 4% 3\
'x 4% Ak 4% 62 G 2w G 1N2 4% Ak 4% 62 G 2w G";

1
data/rcc/sections16.110.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "38* 421F1 5Y 421F1 Z# 2A 3l 2A E+ 2A 3l 2A";

3
data/rcc/sections16.111.tbl Normal file
View file

@ -0,0 +1,3 @@
LOOPS_aux := "3LA> 2[ 8H G84 2# 84 1X 4% Sn G84 2# 84 1X 4% 63 G84 2# 84 1X 4% 429 G84 2# 84 1X 4% 1Gg 2[ f{ G84 2# 84\
1X 4% 9VD 2[ 8H G84 2# 84 1X 4% 5): 2[ 1j|{ O 2' C 1X ) 63 G84 2# 84 1X 4% 429 G84 2# 84 1X 4% 1zT O 2' C 1\
X ) QEj 2[ 8H G84 2# 84 1X 4% 5): 2[ 9=U 2[ 8H G84 2# 84 1X 4% 5): 2[";

1
data/rcc/sections16.113.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Cj{ 1 X) 1 1tP 1 X) 1 op 4 17 1F1 1k 4yc1F Tx 4 17 1F1 1k 4yc1F";

3
data/rcc/sections16.114.tbl Normal file
View file

@ -0,0 +1,3 @@
LOOPS_aux := "6|jP 1$Q4 1, 1$Q4C $n 1$Q4 1, 1$Q4C swo 1$Q4 'i 1$Q4 3LQ 61v6Q4 'c 61v6Q4 1NM 61v6Q4 'c 61v6Q4 U^[ % '/ % D9\
8 % '/ % 1tl. 421v42Q4C 1r 421v42Q4C tWH 421v42Q4C 1r 421v42Q4C 3|z 421v42Q4C 1~v 421v42Q4C VzQ 421v42Q4C D;7 \
421v42Q4C";

3
data/rcc/sections16.115.tbl Normal file
View file

@ -0,0 +1,3 @@
LOOPS_aux := "1qks 2+ 4q @1 70_ yW lh J$ 3Jm 4q lN J$ 1I& 2E yW @L mmz 4q 2I 4q ks yW JR 4q C; yW 6|+ yW 1. yW ld 4q Ig \
yW Dz 4q 327 4q 2I 4q ks yW JR 4q C; yW 13w yW 1. yW ld 4q Ig yW Dz 4q G>a 4W 1. u4WK ks 1L Ig 1L Df 4W\
6|+ 1L 1r u4WK lJ 4W JR 4W D5 1L 31g 1L 1r u4WK lJ 4W JR 4W D5 1L 143 4W 1. u4WK ks 1L Ig 1L Df 4W";

1
data/rcc/sections16.116.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "CCe 4i4 6% 1 2. 1}4C4i4C4 1W9 1l1 6t 2/ 1B 1F1l1 1WM 1l1 6t 2/ 1B 1F1l1";

2
data/rcc/sections16.117.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "70EJ 1%P4C 1Yb 2w7TC 7J 421v43P4C 13Xd % 7( % L. % HoH % 1mkN 3vW 1g} 421v43P4C v=5 6#3TC 5za 6#3TC U@{ 421v43\
P4C LP 6#3TC Hn% 3vW";

1
data/rcc/sections16.118.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "C#; % 2A % Ao % 2V9 % 7( % 2A % 19k 4%Y1G";

1
data/rcc/sections16.119.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "E: 2U2[8O8 3> 6U 11";

1
data/rcc/sections16.120.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "C#[ % 2A % 7( % 2A % 2SQ % 2A % 7( % 2A % 16: 1$Q4G 1t 1$Q4G";

2
data/rcc/sections16.121.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "3LA> B8 G84 2# C Ux G84 2# 84 1X 4% 63 G84 2# 84 1X 4% 429 G84 2# 84 1X 4% 1Gg i= G84 2# 84 1X 4% 9VD B8 \
G84 2# C 5+_ 1k0= G84 2# C 8D G84 2# C 44J G84 2# C 1$d G84 2# C QGt B8 G84 2# C 5+_ 9@L B8 G84 2# C 5+_";

1
data/rcc/sections16.122.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "3F' % 2/ q) % 2A % KU 421F1 2p 6H";

1
data/rcc/sections16.123.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Hj 421 23 43 23 43";

2
data/rcc/sections16.124.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "6|mE 4 17 1 7S 4 x3 4 17 1 7S 4 spL 4 (h 4 3U, 421v6 ') 421v6 1CT 421v7 '( 421v7 V2y 421 (e 421 D9& 421 (e 421\
1tju 421 14 1 7S 421 14 1 tQy 421 14 1 7S 421 14 1 3|+ 421v61V1G 1>R 421v61V1G V*x 421 14 1 D;G 421 14 1";

1
data/rcc/sections16.125.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "1pU 61 4D 61 IJ 61 4D 61 6N 4S4 3: 4S4";

1
data/rcc/sections16.126.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "V";

1
data/rcc/sections16.15.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "BJR G 2y G% 7o G% 1{ G% UJ m 2S m 7[ m 2S m 3RX G% 1{ G% 7o G% 1{ G% UJ m 2S 8d m 2S m";

1
data/rcc/sections16.155.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "V";

1
data/rcc/sections16.16.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "O[i 131B13i1F 7p 131B13 D< 131B13i1F 7q 31B13 1v? 131B13 MQ 131B4";

1
data/rcc/sections16.161.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "5P G614";

1
data/rcc/sections16.163.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "5P G614";

1
data/rcc/sections16.17.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "BJB % 1` G% Aa G U] 2: m A) 3R@ G% 1` G% Aa G% UJ 2: m A)";

1
data/rcc/sections16.179.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "7Z G 3s 3";

1
data/rcc/sections16.18.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "L9V % 1` G% Aa G U( G 2x Gm Aq G 1/+ 2: 5bZ G% 1` G% Aa G% U3 G 2x G B9 G 1/+ 2: BP";

1
data/rcc/sections16.180.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " E1";

1
data/rcc/sections16.188.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "2L 4SG4";

1
data/rcc/sections16.189.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "2L W4C4";

1
data/rcc/sections16.19.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "K<^ Gi4G 2s 4 I` 4Gi4C4 2s 4G 1/5 4y4G 2w G 5+E 4Gi4G 2s 4G I+ 4Gi4C4 2s 4G 1/5 4Gi4G 2s 4G";

1
data/rcc/sections16.196.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := " 52";

23
data/rcc/sections16.197.tbl Normal file
View file

@ -0,0 +1,23 @@
LOOPS_aux := "1AFlLd@s %m 1{/ %WG84 1gz %m84 LD %m A2 %m 5nvL %WGE1 |v %WG8421 hu %WG8421 LA %WG A2 %WG 4a %WG 1r %WG 2+\
Qk 4 i| 4 1ZBz 84 i? 84 c2 %m 1r %m #W2 G i; G84 c2 %WGC2 2i VHk G cE %WGC2 2i F,i %mE Fsf%0 %m |- %mC hx %\
mC Wa %m 4F0. j1 #/O j1 C dN VKT dZ L<jd@B 1L E }> C2 i# S2 4FY9 G84 i% O4 $S9 G84 d7 V#l Fn43P W 1{~ 1L 8 }_ 8 \
i) O 5o1C }< S j1 4>Gn G84 dN 2w 7+lmG % 1|V 107 G i; 4:%& 15 O 1{' 1L 8 Tz4 3[@C/ A%xYk_ 1L C2 1hW y Wa %WG 4E0c \
%WG8421 |v %WG8421 hu %WG8421 WX %WG 4a %WG 1r %WG zV` 1L 1g. %WG842 WY %WG842 75 1L C2 U#A %WGC3 iT WS2 WY \
%WG842 4M %WG842 2C WS2 FWh WS2 WY %WG842 4M %WG842 2C WS2 6_r 1L C hx %m842 WY %m842 4M %m842 1d 1L C2 Fm,\
Qc u 1{' 1L F 1hV u L@ WG 5l+e %m8421 1{x %WG8421 |v %WG842 hv %WG8421 L/ WG A2 %WG 4a %WG 1r %WG 4B_w WO7 1\
{x 1L 8 |% 1T ia u7 x:_ %WG842 1{y 1L 8 |% 1L 8 h$ %WG842 L: mE 9> 1L 8 4S 1L 8 1j %mC2 R&) WO7 1{x %WG8421 |v \
%WG842 iU W ME WU Aq WO7 4_ WO 1j %WGC2 B@a u 1{' %m842 |w %m842 iU WO XD u 51 u 1j %mE 5`p 1T |% j1 %u42 L:\
# BH 4S 2/ %mC 7*]Bw %mC3 1{x %WGC |y %WGC hx %WGC3 L/ W F: %WG 5F_p WO7 1{x %WGC2 |w %WGC2 iU W ME # Aq WV\
4_ 2A %W B@' u 1{' %mC2 |w %mC2 iU Mk # GI 5~5 1L |- 1L h, %mC L< GG 1L 2Q 3<$Ti 1{# 1L C2 |w 1X 2 iU y2 4:%Z 1\
L 84 1{# 1L C2 |w 1L C2 hv %WG842 WY %WGC2 4M %WG842 1d 1L C R'd 1{# %WGC2 |w %WG842 iU WS2 WY %WGC2 4M %WG\
842 2C WS B[7 1{# %m842 |w %WG842 iU WS2 WY %mC2 4M %WG842 2C W 5|N }@ C iW m84 X9 y 4| m 2/ C 1`hpr 4 1h~ 42 \
c0 %m86 2C mC Vx4 y F,? u 2I y |inz 4 3g3 42 WY 1L 4a 1L 8 2= R'Z 4 1}4 2 ~0 2 <Z %WGC21 4L %WGC2 2C WS D?B 2 ~0\
2 i` 42 X( 2 5t h{sg 42 3g1 42 Mk 9> 1L 4a 1L 8 R*M 42 1}2 2 ~0 2 =) 2 5t L@b@ 2 ~0 2 i` 42 X( 2 5t 9}bETy N(m F\
sX*$ %mE |w 1X <b 1X 4O %mC2 4F=5 1L $RG 1L Vz~ F,; %m 7_g 7:B}o 3=1`| % }T 1X <b 1X 4O % 4D`T %mC |y 1X <b 1X 4O \
% zZQ %mC |y 1X <b 5v % jo_ % }T =+ 5v % 5~* ~2 j1 X* 8e 3Rs:< 1}4 1i3 X* 5v 5nq; % }T =+ 5v 4F>e $Sb li5 G<a$ ~2 =+ \
5v 3)@n<00 1L C 1{# %WGC 1gz 1L C Wa %m 4C2Y 1Z 1{y %# ~2 j1 x:` 1Z 1{y %# |w %WGC2 hv 1L C2 WY %W 4q % R)n 1Z \
1{y ~2 15 GC2 <Z 5v B^@ 1L 1{/ %WG }< GE =8 64# %m ~2 j1 E 5k4N;= %# |w 1X <b 6U R)n 1Z 2`# 1L E =u B(P`. % }T 15\
Szr 2|6 1L 2u+^'+ %# 1;b 15 R./ 1Z 2`# 15 GC <b 15 G B}Q 1}4 15 GE |w 15 S <b 15 4q 15 5~b mE 1<A m B(2JP 15 GE \
|w 15 h{ 1L E WY U,_ E;U 7^b 1i3 X* 1@u{N 4F>e $Sb |VDY 15 || 15 =+ G zeZ 15 G |- 15 G =+ R.w 1L 2{@ =` D|Z G }< G =s \
5v 5~_ 1<- hJae 1J-g G;WK 1}4 1i3 X* 4=T7 j1 k~4 8bH 1@h:<H 1<- B(vu( 1<- 3cp8e MP|5 7]? 1]BqsF^ MN~H 1YN|dv `%<@}B li\
5 ~2 Ci;<lms 1L C2 4E0O 1X 2 }> =+ C 1J-i B'b:N 2 1<+ 3y^}Y 2[QqrtO";

3
data/rcc/sections16.198.tbl Normal file
View file

@ -0,0 +1,3 @@
LOOPS_aux := "p$?u 421 1|| 42 }{ 4 j1 x<2 GE1 1|% GE1 |v %u4 hx %u4 MI GE1 A] GE1 4L %u4 1f %u4 37{$ %WG 1{/ 15 G }< G j1\
JGlo 1T 1|d mC3 1gw 1T LH 1T Aw mC3 74 1T AZ(k 1T 1|d mC3 1gw 1T 10i& 1T 1|d mC3 1gw 1T LH 1T Aw mC3 74 1T 2(S3 \
1T 1|d mC3 1gw 1T";

2
data/rcc/sections16.199.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "Y{fG 421v421P4219421 Bu` 1}4 ~2 j1 mJ7 421v421P4219421 Bu` 1}4 ~2 j1 GTX BN 5v 2/ 7$i BN 5v 2/ 3|b 421v421P4219421 \
1{( 421v421P4219421 4Xym 7z2U2A7 $R9 7z2U2A7 27]] 7z2U2A7 $R9 7z2U2A7";

1
data/rcc/sections16.20.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "`O 131C4h4 26 131Cp";

3
data/rcc/sections16.201.tbl Normal file
View file

@ -0,0 +1,3 @@
LOOPS_aux := "p$?u 421 1|| 43 }` 4 i| x<6 GE1 1|% GE1 |v %u4 hx %u4 MI GE1 A] GE1 4L %u4 1f %u4 37{$ %WG 1|l WG }< G i; \
JGl' 15 1|$ mC3 1gw 15 Lf 15 A[ mC3 74 15 AZ(+ 15 O6 1|X mC3 }U mC3 hu 15 O6 10ix 15 O6 1|X mC3 }U mC3 hu 15 \
O6";

1
data/rcc/sections16.204.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "1CDK 1$1 An 1$1 4] 1$1 29 1$1 2~F 1%P4G h. 1%P4G 1g: 1%P4G h. 1%P4G ABj 2w7WF A0 2w7WF 4Y 2w7WF 1p 2w7WF";

5
data/rcc/sections16.205.tbl Normal file
View file

@ -0,0 +1,5 @@
LOOPS_aux := "uXlo 7 i_ 7 BM 5v Vg* 7 CXI BR 2 8Y 1*W 7 BK 5v 527c %WG 2&x 421 BG 61 5u 1 2. PN 421 BG 61 5u 1 2. SJ5 %WG 2&x \
421 BG 61 5u 1 2. PN 421 BG 61 5u 1 2. CDl 421 BG 421 5o 421 2( 421 1*P 421 BG 421 5o 421 2( 421 10e %WG \
h, %WG =aU 7 i_ 7 BM 5v Vg* 7 CXI BR 2 8Y 1*W 7 BK 5v N9{. 421 BK 2 5t 2 2) 421 2B W 1'. 7 BG 421 5o 421 2( 7 1c \
1L (t 421 BK 5v 4| NB 7 BG 421 5o 421 2( 7 1c 1L R`J 7 BG 421 5o 421 2( 7 1c 1L 1'v 421 BK 2 5t 2 2) 421 2B W 1\
L- 421 BK 5v 4| CBZ BN 421 8X 1j 1(= 421 BK 2 5t 2 2) 421 2B W 7y_ BN 421 8X 1j";

4
data/rcc/sections16.207.tbl Normal file
View file

@ -0,0 +1,4 @@
LOOPS_aux := "uaNl 421v421P4219421 2&) BN X* BN SRZ 421v421P4219421 2&) BN X* BN CM2 BN 5v 2/ 1*W BN 5v 2/ 10V 421v421P4219421 h%\
421v421P4219421 3t]0 7z2U2A7 Vwa 7z2U2A7 3:Id 7z2U2A7 Vwa 7z2U2A7 NR%. J$ 1T 7v421P42197 1<} 5v 4C 421z2U2A421\
={ 9* 421zW M[ J$ 1T 7v421P42197 S6p 5v 4C 421z2U2A421 1'' J$ 1T 7v421P42197 1W| 9* 421zW CMc 9* 421zW 1'_ J$ 1\
T 7v421P42197 7-A 9* 421zW";

1
data/rcc/sections16.21.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Ad? Gm Ak 4GmC ]l 4% 2@% 4Gm Ak 4GmC ]l 4Gm";

2
data/rcc/sections16.211.tbl Normal file
View file

@ -0,0 +1,2 @@
LOOPS_aux := "4dnGk %WG8421 /p %WG8421 1J_C %WG8421 ;Po %WG8421 M`4j %WG8421 Ahu- %WG8421 VZ. %WG8421 21_kL %WG8421 1c %WG8\
421 4~V %WG8421 kd %WG8421 2-s1 %WG8421 nM %WG8421 20jy %WG8421 VzB %WG8421 hp/N %WG8421";

1
data/rcc/sections16.22.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Cq' 131C3 40 14C3 TT 131C3 40 14C3 p: 1G3 Xn 14C3";

1
data/rcc/sections16.23.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "1x1 62M262 5N 2U2`262M262 K' W2";

1
data/rcc/sections16.24.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "BJR G 2x G% 7) 2x G% UJ m 2R m A) m 3RT G% 1` G% 7) 2x G% UJ m 2R m A) m";

1
data/rcc/sections16.25.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "K<^ Gi4 2+ I~ 4GiG 2w 1/P 4y 5.H 4Gi 2/";

1
data/rcc/sections16.254.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "L9 %WG8421";

1
data/rcc/sections16.26.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Ti B0 u 2+";

1
data/rcc/sections16.260.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "b} %WG8421 4L %WG8421";

1
data/rcc/sections16.27.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "AH v";

1
data/rcc/sections16.28.tbl Normal file
View file

@ -0,0 +1 @@
LOOPS_aux := "Zb CJ 2h";

6
data/rcc/sections16.289.tbl Normal file
View file

@ -0,0 +1,6 @@
LOOPS_aux := "8>Dr> %WG8421 3e# %WG8421 ,) %WG8421 2(aa %WG8421 40T %WG8 1~n %WG8 1ak7 %WG8421 nM %WG8 O0 %WG8 tb' %WG8421\
5GK %WG8421 QIH %WG8421 3e# %WG8421 i?W< %WG8421 Lr?* %WG8 TyV %WG8 A:36 %WG8 VZ? %WG8 3|{kK %WG8421 1c %WG\
8421 6>` %WG8421 1c %WG8421 kd %WG8421 N^ %WG8421 3FX %WG8421 ,) %WG8421 1HT %WG8421 kd %WG8421 2&y= %WG8421 \
1c %WG8421 3|k %WG8421 1~g %WG8421 1ak0 %WG8421 1c %WG8421 kd %WG8421 N^ %WG8421 l#W %WG8421 6[* %WG8421 ,) \
%WG8421 5GK %WG8421 I)J %WG8421 6[* %WG8421 kd %WG8421 3e# %WG8421 ]<2j %WG8421 4J)k %WG8421 1c %WG8421 zbb %\
WG8421 TyO %WG8421 i>o% %WG8421 W(t. %WG8421 VzB %WG8421";

1
data/rcc/sections16.29.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := "Ti A; 3Z";

1
data/rcc/sections16.296.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := "2) 131";

1
data/rcc/sections16.30.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := "ZQ K 2g";

1
data/rcc/sections16.31.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := "T| C 3V 7) 4C 3V 4C";

1
data/rcc/sections16.32.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := "4f AO";

1
data/rcc/sections16.325.tbl Normal file
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@ -0,0 +1 @@
LOOPS_aux := "2' 421";

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