And add new files from LOOPS 3.4.0
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data/cc/cc_cocycles_2.tbl
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data/cc/cc_cocycles_2.tbl
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data/cc/cc_cocycles_3.tbl
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data/cc/cc_cocycles_3.tbl
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#############################################################################
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##
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#W cc_cocycles_3.tbl G. P. Nagy / P. Vojtechovsky
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##
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#H @(#)$Id: cc_cocycles_3.tbl, v 3.4.0 2016/11/2 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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# cocycles for CC loops of orders 9, 27, 81
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LOOPS_cc_used_factors[3] :=
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[
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# factors of order 3
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[1],
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# factors of order 9
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[1,2,4,5],
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# factors of order 27
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[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,55,56,57,58,60]
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];
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# end of used_factors
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LOOPS_cc_cocycles[3] :=
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[
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# for factors of order 3
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[
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[false,"5"],
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[false,"T"]
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],
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# for factors of order 9
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[
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[false,"Nb0XtD"],
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[false,"1fMILI.euf?"],
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[false,"A;R74)[>|%3D"],
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[false,"YzxT&R77j7`jU"],
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[false,"YzxT&R77(#k5t"],
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[false,"8Jdd+{q'dYbah1x"],
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[false,"~>hcUjmC(H{:6o#"],
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[false,"dG.#{L(3kJl81+o4j"],
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[true,"3#QhS<]EA"]
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],
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# for factors of order 27
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[
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[false,"hor~xnV^xMC5^'b9L&H<Q6<:}V9;#mn&98_0m=8A[H14j{yyKnG42|V4D"],
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[false,"3&[N:Yq_~|RL'@B]s},@?,;Fq~B[I=:/@LdKq:nU3b.zc^f>FJroWT-;Qg*ugzyQ}6lZ^:7G1($3|i?Ut@6i3c^|R`M,n^N[d"],
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[false,"7YpFoEn@TI$ke4t,QM]Xvq,.CVsRhg]7gu2XuPY3t[|Bf~$UMJ;#CQ5FfUpOEKpsQv7S5pXU.InvA;ZH5yZfw<-=(.[#?Y4B6%BAiCvwtr2MDV"],
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[false,"f#y$l~9J2y[s%%JH0oTRODr]:>h~At1:wo}6niz#D:'#n-wM2V<vTnqvLy(NOKlk8_up6NzIavSp6RnpBq:V)#5Fg*i5+gt@Sn8Z$j`|RsP^yNnphD"],
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[false,"929<Q3%|NK5~el_rNRioOfG@::OAICGt#Jq`Y}KwmbT7&aaAk$r|T&)lvOw:MoM:mWmkG|b$43Kj}UN6<+N]q9$}515#<OhPkRQy~Q7TIPKbqC))ute:2&"],
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[false,"929<(pVnV`td-l5UUbV^aGx,t3/8g=0#CdP#6v@:>6p$N3lL{wx87,33DiqgK8T^]a&vAV~U~s3Z|7(%P=k>bBDOUWw4y1UvYBR'#a4<:G-L3/K@-#sS`Q"],
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[false,"929=D-7<K`w|l<w@`~BH&m0{m{LvBz%<Uoy<^+t9:Gxb'w**?cl}[Mcf&LxSRRK6Z,K$sDfL?[hFC2:E7eF2xfp~K~$XTQ~dvIxHNT^7poT8/nuuW7d_c0"],
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[false,"~r)g={i|nz_lmzSdBw2HrA>vY'~11)L`zMpNGE,WhU&9[s*S-1$]`&ZOv`#NDuD:@SX.18KP1sj_~N-=l7CjkgGnyn.oWF68{#%*7bmM|.yn-yZ]TBU9sN"],
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[false,"~r)hW<}U{W|e2n[Z4TF<@&6G((v7Rf;T&y/KwK#Plv:m;jTCDw^wzM#>X+6`6(J#DJBF85R.__#$kFCUrFmTH,he+%ZeQfh)ftpHN#L-`^k/;2m<RwCi]t"],
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[false,"18>/j@C>0~&JPL:xR--6+3_tO4w3SFrN;v^{E.a<>]}?S`[.b]>f}xCXulCW#~+[[J;IX:5mge-Hi4u$yH+EC]'X~y8kn|6C*nE^dd0}=,sChCc*_d-u-:q"],
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[false,"S||kz0&UY#`u{sajCjcN]cv9zc/9$4Ic_i8|b(@6+{>]As_$O{3eQ@E<]}M,Drn_9=82EO}}#ld}[,G)etB._Yj`g?o_6j:z1szyjt]U7%JH4xWghJ2LJ'ea_@ayts[#k7jqu+Fq"],
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[false,"S||kz0&UY#`u{sajCjcN]d7-VBV8-NL8<7.zu^@v9OCjQ)KHn&eZZ)BvK7Me0wk`r[kC:(p#_?-?GVsZB8jF&wu%$Hz<LX2(C=+UA@S(O>r=#KqI^3<i9tC82(uB4.Fyp)`vW=0="],
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[false,"S||kz0&UY#`u{sajCjcN]dni0/>7@gN*)#lY;A[GcpLZz(9]TpYJjOd].?0dr`3ZIi^J^U6o'+VsyLEOf][DP0?Z?3n^&XBj]I6^GuTB`1(6Pi$KNp7SsGWq21BYdw~Z~Pb/p~4q"],
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[false,"S||kz0&UY#`u{sajCjlQ2O]DZa6T*3w`?6WO[RBUhWOdj0*'Cm{Vp$<VD3:unLnM7p)8t>.g[Bw`]t+}AC#UrV@2K=Mj90He}(+,yJ7dw(C;`zBQ,1:E+2s)GGe9gS^7,s{EFNwq"],
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[false,"S||kz0&UY#`u{sajCjlQ2PXz1|F5Rh~_~/dY*zN5`L>{M:wzg#_eP8?l9^^uk)zB.&I|<kT5vbCf<k)qlQwgb$Z$VSZw{@U<K#-<}4+C%J}}TJ6EWwzMc`XH.@F0s+bu3-I?Sh4q"],
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[false,"S||kz0&UY#`u{sajCjtYHYrDq<nA8l7c=WCX=RSxtb/GB[Yc:E[SgRm3y*?0?UhqZoPC_b5ZmzpTyZ-A8j86ZW<_-u25U3|,(b}VWvCv1i[E^qCNdrpHA+2QKX'MeR|GDzm0j$WQ"],
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[false,"S||kz0&UY#`u{sajCjtYHY~YTEcAC4.*e])`vpv~{r]V*X}aLhQJ*,&e*Suu5O9~jcUB(x/2eg.B'fhkJrs'OD2^Dr;>aJiH.e@SF?O^JZi0[5TAt_`lx_Qiq%{eEX|BWZKc(4Wd"],
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[false,"2w9Ib8}nu`J@6?NAm7pVjr|A2c?hiaRc][Mc*;|Hll;9UKxV%8]S%H|-9uB`s2f9A#I5xYn1H9Y-s;3-r`z|umADfUQK3cxXRrCVUB@}4}@eAC%sLHwgVD$E_Z7_0NsZxe3Q[|>]HD"],
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[false,"2w9Ib8}nu`J@6?NAm7pVjr|AiAoG1Zav`qE2hoGYm7EasYMOm|aR/-~u)GA2ClB,Mr96e2CG#TJX1L3=Un<+?,;72I38^?d2}MJ?50i]Q.K9J`oaOl[FSb*[U~S~+l1^66ixJIN+d&"],
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[false,"2w9Ib8}nu`J@6?NAm7pVjr|A_.J>nYj;}M5vHNZpmvh$=l;HX;?Q_b1fZ(88#0.f:MYdgxpid9fLy)2JIOTOH.BOEp)-%D/MrAS]>t.v1EiOK;n&ID9WI-}H&y_xeR[Qv&>~KxFyFq"],
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[false,"2w9Ib8}nu`J@6?NAm7pV#%M5}g,[Ja$@-[FQ.Mb)^iW;z6jfv$aX@+.A0x3~#{qcTBR2eBS,R^^NecD.h2l;]60(b#~f{UqfNg1(I:jY7YtFWtOxlr^)TZn&,XyU[xHr~OtC@Rvlp0"],
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[false,"2w9Ib8}nu`J@6?NAm7pV#%M6Z$mJ8a(dmL)=c:H2M:&1s}]~Ql9n8[HP=,)Ox6yDX@~>?6aua{^d#H/^^G#'M2pj<6Dxf^]((rH<X:1QREXNdf/C^<EO*;?HJuNPZlgHLfpYrYRTSD"],
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[false,"2w9Ib8}nu`J@6?NAm7pV#%M6<KE,HCP>?K>tj_4aYpG[YIg|pL^toA@1oecf}'[)^g`#8Fj.$EL1ApUCZ-T&xSOPJJ.5yY4GbiR/~>VlXw$}zPG1$;.JbmX8Gsh6Hnu<Fi/r1Vx(vQ"],
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[false,"2w$_X%jBW_:33wQ_~Rcgm.%.$cV[,+CrJz0ar`re$WU_uHB)&2)c4eIBOO30@`W[~-c-4`;B7@AJ-1N+T~~t@]wAd{DWO7t^N3p%F5u,baza.bZC4eU?-V=OaRw'$xbM8$*[z{uS:0"],
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[false,"2w$_X%jBW_:33wQ_~Rcgm.%/t-#R;)V0P0/t1X0/%f}m|y#??M.2ZJajnT][xs.P3iD6xE+3]@)Efk2_GZ%wyU%)oXTO*[o%a7g|nf5AVtJ#I)G1VX7q/lzizP)aiB=oOa>`7:*QFD"],
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[false,"2w$_X%jBW_:33wQ_~Rcgv:/x}g5?3~IqyH_}<N6}}c:o4dp5cR0Ga`BFAa8Wi5~{JosMg#Unx+yo$(aHAL>gr3`WEq%,kMIQ]|MpV*/Fn#BL3s3'}f|jCun[ek].j^fFh5a)ztzGFq"],
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[false,"vcV(GHJH0z&v@Sob,UDrLY,WD58fYB}h^&xXvP..:eNOSvp`m<LP-3@duJ?v,$(IsB+Um0w(WH~d;{EArq6tj6D%(A/UmfP<D7D7rbsreEnf2Qz3`1TFxh,Ce3fVk9I_RL&IW(H,+6<vUC/HBI&Gu"],
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[false,"5K+)0Z*`w$G2qfi4xTU00@?6p*|6ao<W/y0,8uP,hnQ~:'y@0@[98u5|Z-S_RU({d{Q`o9as~$$k8PrPZT=v;z$CG&q,A@iDP|)NumbJ[<-e+-8m{&Vpkro$nX'+)<7&R$;x#_SI_wVKAVC4u,Du7*V"],
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[false,"2cS7HhXqGrQp62Y~HIm$xV?eT1`zhe?U>FvD9M$F%y>-)Jgg%lXb=AW36[%3R[8g%HpOzGOJ$5wC5baNW*89XgezHQd1^O{dbz1OEzXV~@b''Z$iG>cXF[f.CgEKqq&@U7W{X]Xu-lTrl[(`qCL]/@%A|wTUD"],
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[false,"2cS7HhXqGrQp62Y~HIm$xV?eT1`zhe?U>FvD9M$F%y?Nd?E~$uqem1`(,A@3=KZ'<,i9nyNUR7g+uZg-<d+LOXff:?slD9l;.z70)<FuNuVRsCqYwx83:}~m158J-jHOfn6PP:6%YSHH.EQ#ch=8goqg&4{D&"],
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[false,"2cS7HhXqGrQp62Y~HIm$xV?eT1`zhe?U>FvD9M$F%y?&Bn=l#&,hH^ofiU74bn#~d{vZ3_1(MGT(Z#p-kQ~z>AN>gGX#E[OSh4Fi}#j'.Az<[enhE@)jCqKgr9IX&nPLRHTY{UllcZf}E1U2F=eO*KB)7fD(q"],
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[false,"2cS7HhXqGrQp62Y~HIm$xV?eT1`zhe?U>FvD9M$O'+'7,^d&^rW=Z4_QYaNOpsh=Kp|8%3<CsUe/nvj6_Tt~g^>?4(LI.pKXAYh.]jQQ5nO5ap;kgt^]-J=/F^KhAD9`9Ip9*yoA{0Y#M8kBpcM+~__HI*xjd"],
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[false,"2cS7HhXqGrQp62Y~HIm$xV?eT1`zhe?U>FvD9M$O'+'`nRS$yFU_%*M~62@&wcnp]{Nqu,SjsVU4B#^]nha%`QbY`1&wyQ4R{rju9W<U0o@Szyp&&Hs-LnfMd-/7k,,vv^K9X]G3%74D,=f=T]Zn^0>($'tUq"],
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[false,"2cS7HhXqGrQp62Y~HIm'1t/}Ol&OzBw?|XJk-k*w0`Yn5RtAPpE~$*YhpEic%h97M4*SGl_.quvI;2dZl55/T3LKpK#KsSskT7aqgQp1jjKY*5`j,ob@>/mnG)m=;1fCGS7Bk#MT@D&;f,bvQ*,{jgOb7vTkH"],
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[false,"2cS7HhXqGrQp62Y~HIm'1t/}Ol&OzBw?|XJk-k+;&^i0GfP1n+HR.(<3J*PCp}g52-+GX$8BBo|r6L_cn_HevYa$;.VaPtx>Q5R9(A3eZ?wZ8X/L?8i|UycNzt`?(jeWpXD@q0U6=;0#rmr98eWrHTk^DC'0."],
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[false,"7(>#S~Y335|CZBoN,?]q=#)UWD$8,7Qk{tLFa+gDl>Mn9u2O]7CI*0n>z_i8+t#QCS$$P(r8U`1,FO}.&l.g2YY7w_/?T;|ZBm9FRhh{g^BLktifQc5X_kuEv:]hEt'&J7+,;=i?,Hv7+P8#($$m)4}]3@MY20"],
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[false,"7(>#S~Y335|CZBoN,?]q=&RECObN62xohkH6VM)O4%a~lMqv7`C[T[#*d>ySa.?N&7w/6R/QQ#m@}%n=dBz+bi[Qfzb.wJ`y.hLJ-*jsu'%~mR=AQ]o%$CFYZe2HbunVKP?FZcMUZgP_R)d=[^5Tkys'LJ=%NR"],
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[false,"7(>#S~Y335|CZBoN,?]q=&RECObN62xohkH6VM)O51&qZs7-#8Z6~^VH^tkEz:br>Q|$9rlSo4IHu8|mnnH_&}(3cUpMb/OCgVoBx+ZB&0v8*h&2a_wFu4y1)yc},B?A@+I]h8qH.l,bPeYT?T'nmJv|6Ci^v["],
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[false,"7(>#S~Y6}APr]H||%#HA`x'}[]_cfa,ZThm`.fJL$62WOvs]s/>yz+9GeTU9`PyXWQdH~K(Eg&4nt9qa$&T((H15zi+V`o~~=,bX=dRrB1prZ6z{|^jBe1jD?Gd;}]||G{aU#w&@m^'S?4yp5Ccca66e8OUn2y"],
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[false,"1M,aaVut'THt&#I8$eX`/zd6Y61SWR*J/0w}.GTnhbAq+k0VLwcc~&V+K*{_?-i/i`sfjE6qXjcoDcz)i3urwEngn[Ybj(oq%Mm%^zna/@?13MK/h{EQ6ryi|tGlIgn0N8Ntso]-D5z.yy}]'JDGum+l>brv_|S_BKO"],
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[false,"AZDm2AHIgA;[|NfzI$dR(Dj^~S.sLOgyds,.>cn4wrBU@c:k]-g?eJ#hXXHGHoYF[dzO#~HKy9c8J0Uwa=ZTl0Of?_op*pZG/:wca8oWBajYfd:~F5u9jegk_||NXYC6pWK:i#pIbiM|l550M8()EG3SA?FX-@,t[^wp"],
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[false,"1D2'6&,i(NNf~B^3D:i*Msb{*6lG#2TREWZ?q`[{=o'9P295`Xv&Dn]$kMK~bJ,{-1%6P:~kD~&<m?wa{&-M}3fU7D%$s3F>G>1=i1FPJ>|3]0Rgpj$H^N9-injHgbZWZA7]vUg(`_YA)gmI$;6<*l_G/Rm<yF@TlyeW~"],
|
||||||
|
[false,"36W4^H}F[+ubNCk8T&m?=Ddd`0KpjQsOyx+(o211g0ldXyrLqTYcEmv55b`%|BlBI);|SXLGj'#BNK/:/Ybb0K|3'*-pv(2x*9r(TN[w8sT6)r>.Yj,~7JAKn_J>y0LS^[e)o2]7gl3vmUXiFdl(udUiK[Mpl'lmP>)}^.?,g|?"],
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[false,"36W4^H}vk^d:-(%z#7%Tve<CAop8bgx[sdKnvX$6)4Y:AnX)~/1YGkNrLM&uZ.XpI,q9s^S<,6(*,sdtB96P`m~qx&]za91{[j,kWug$:c:C/c6Zxc')AL#Z40k5qY5f}$4iW(_aD[slw.g`hT[+g8H>`V%/[}`6/Z#:khNb&0e"],
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[true,"12.W./ADP*t:.tzo:SH>)sYG#t5nqzGr8ye0W<OmT^ev;19=H'^4;;|O~4CUgkUBNtwSscxvk=YP/uk$`A>nw="],
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||||||
|
[true,"12.W./ADP*t:.tzo:SH>)sYG#t5nqzGr8ye0W<OmT^ev;19=L0/bwXp-IwNmkRRfx'qV<[)&PIU)t-Ed2~;Wil"],
|
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|
[false,"36W4^H}vk^d:-(%=vMNy|5Z8tpnPC'5DCwGm$=*PK&63k_znE*V7fhM26AX^uSy7uhdU'2OE}R+GS9WZesF<;inFIE~Vxthf^nN&z{uImANt'dI=:MD,U|#WP{],};5X9>J?][ZhMgUv0+?t.`Wuck6gqW;)2{gy))^A%ll]Y}p"],
|
||||||
|
[false,"36W4^H}vk^d:-(&cg&]$|?~}8sh-?C&#dDX26wud{gA',cEWN.ai06sWB&;..LC.$?WG_;`+JDROHwnS')?U/,4^dab*a&G,2xbs41q$t[OtxyI-S6c%R3wxJP`K]pyH2}~R6:u)c>*ZQt.MW;:4G0T,z0ufpl%%LRBn9yfI46S"]
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]
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];
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# end of cocycles
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LOOPS_cc_bases[3] :=
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[
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# for factors of order 3
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[
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[1,2]
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],
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# for factors of order 9
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[
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[2,1,7,6,8,4,3],
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[1],
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[1,9],
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[1,5]
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],
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# for factors of order 27
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[
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[2,3,1,26,14,39,27,33,28,5,41,42,40,43,8,4],
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[2,1,26,14,32,5],
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[2,1,24,11,31,36,9,4],
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[2,1,25,13,30,4],
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[2,1,26,14,5,4],
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[2,1,26,14,5,4],
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[2,1,21,33,5,4],
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[2,1,22,4,32,5],
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[2,1,18,5,31,4],
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[2,1,19,6,30,4],
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[2,1,26,14,4,5],
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[2,1,26,14,7,4],
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[2,1,14,33,5,4],
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[2,1,4,14,32,5],
|
||||||
|
[2,1,4,14,32,5],
|
||||||
|
[2,1,5,11,31,4],
|
||||||
|
[2,1,6,13,30,4],
|
||||||
|
[2,1,7,12,29,4],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,4,5],
|
||||||
|
[2,1,26,14,4,5],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,6,4],
|
||||||
|
[2,1,26,14,7,4],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,4,5],
|
||||||
|
[2,1,26,14,4,5],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,7,4],
|
||||||
|
[2,1,26,14,6,4],
|
||||||
|
[2,1,14,33,5,4],
|
||||||
|
[2,1,15,4,32,5],
|
||||||
|
[2,1,16,5,31,4],
|
||||||
|
[2,1,17,6,30,4],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,4,5,45],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,6,4],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,4,5,38],
|
||||||
|
[2,1,26,14,5,4],
|
||||||
|
[2,1,26,14,6,4,37],
|
||||||
|
[2,1,21,33,5,4],
|
||||||
|
[2,1,22,4,32,5],
|
||||||
|
[2,1,23,4,32,5],
|
||||||
|
[2,1,18,5,31,4],
|
||||||
|
[2,1,19,6,30,4],
|
||||||
|
[2,1,20,7,29,4],
|
||||||
|
[2,1,21,33,5,4],
|
||||||
|
[44,10,34],
|
||||||
|
[1,46],
|
||||||
|
[1,47],
|
||||||
|
[1,48],
|
||||||
|
[1,35]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of bases
|
||||||
|
|
||||||
|
LOOPS_cc_coordinates[3] :=
|
||||||
|
[
|
||||||
|
# for factors of order 3
|
||||||
|
[
|
||||||
|
" 1 3 4 5"
|
||||||
|
],
|
||||||
|
# for factors of order 9
|
||||||
|
[
|
||||||
|
" 1 3 4 9 F R S U V b h @ [ ] ^ _ ` ~ 10 11 12 13 14 18 19 1A 1E 1F 1G 1H 1I 1\
|
||||||
|
K 1L 1Q 1R 1T 1U 1Z 1b 1f 1h 2| 2} 2~ 30 31 32 3O 3P 3Q 3R 3S 3T",
|
||||||
|
"1",
|
||||||
|
"1 4 5",
|
||||||
|
"1 4"
|
||||||
|
],
|
||||||
|
# for factors of order 27
|
||||||
|
[
|
||||||
|
" 1 3 4 9 F R S U V b h @ [ ] ^ _ ` ~ 10 11 12 13 14 18 19 1A 1E 1F 1G 1H 1I 1\
|
||||||
|
K 1L 1Q 1R 1T 1U 1Z 1b 1f 1h 2# 2% 2& 2' 2+ 2, 2- 2; 3p 3q 3r 3w 3y 3z 3# 3$ 3\
|
||||||
|
* 3- 3. 3/ 8A 8B 8S 8T 8U 8b 8c 8[ 8] 8^ 90 91 92 99 9A 9B 9I 9J 9R 9S 9a 9c A\
|
||||||
|
$ A, A. Br Bs Bz B$ B+ B, OC OD OE OI OK OL OM OO OP OQ OU OV OW OY OZ Od Oe O\
|
||||||
|
f Oj Ol Om On Oo Op Oq Ow Ox Oz O# O' O) O- O/ O: O; O= O> O^ O_ O` O| O} P2 P\
|
||||||
|
3 P4 P5 P7 PB PC PD PH PI PK PL PM PN PO PP PT PU PV PW PX PY Pc Pd Pe Pi Pj P\
|
||||||
|
k Pm Pn Pp Pq Pu Pw Px Pz P& P' P, P- P/ P: P; P@ P[ P] P^ P_ P` P| Q1 Q2 Q3 Q\
|
||||||
|
4 Q5 QB QC QH QI QJ QL QM QO QS QT QV QW Qb Qc Qd Qh Qi Qj Qk Ql Qm Qn Qo Qp Q\
|
||||||
|
t Qu Qv Qw Qx Qy Q& Q' Q) Q* Q. Q: Q; Q= Q] Q| Q} R1 R4 R9 RC RI Rt Ru Rz R# R\
|
||||||
|
$ R& R' R) R- R. R: R; SI SO SQ ST SZ Sc Sj Sm Sr Sx S# S& S- S. S: S; S? S[ S\
|
||||||
|
` S| S} S~ T1 T2 eE eK eW eX eY eZ ea eb ef eg eh el em en eo eq er et e` e{ e\
|
||||||
|
| e} e~ f0 f4 f5 f6 f7 f8 f9 fD fE fF fJ fK fL fM fN fP fQ fV fW fY fZ fe fg f\
|
||||||
|
k fm f; f< f= f[ f] f^ f_ f` f{ f| f} f~ g3 g4 g5 g6 g7 g8 gd ge gj gk gm gn g\
|
||||||
|
p gq gv gx gy g# g( g) g- g. g/ g: g< g= g> g? g^ g_ g` g| h9 hB hE hK hu hv h\
|
||||||
|
w hy hz h& h( h, h- h. h/ h: h< h= h> iJ iK iN iS iY iZ ib ie ig il in io it i\
|
||||||
|
u iw i% i+ i- i/ i: i; i< i= i[ i] i^ i_ i{ j0 j1 j6 j7 j8 -p -~ .1 .2 .3 .4 .\
|
||||||
|
5 .7 .8 .9 .A .B .C .E .F .I .J .L .M .N .O .P .Q .R .T .W .X .Z .c .e .f .h .\
|
||||||
|
i .j .l .m .p /+ /. /; /> /[ /_ :1 :4 :y :# :$ :& :' :) :* :+ :- :. :: :; :> :\
|
||||||
|
? :[ :] :_ :` :{ :} ;1 ;2 ;4 ;5 ;8 ;9 ;B ;C ;F ;G ;I ;J ;L ;Q ;R ;S ;T ;U ;V ;\
|
||||||
|
W ;X ;Y ;Z ;a ;b ;f ;g ;h ;l ;m ;n <e <h <k =U =V =W =X =Y =Z =d =e =f =j =k =\
|
||||||
|
l =p =q =r =s =t =u =v =y =$ =& =( =* =+ =. =; =< =? =] =} =~ >1 >2 >5 >6 >C >\
|
||||||
|
D >I |r }1 }3 }4 }5 }6 }A }B }C }D }E }K }L }P }Q }R }S }T }V }b }e }g }k }l }\
|
||||||
|
r ~- ~: ~= ~` 10# 10$ 10% 10& 10( 10) 10+ 10, 10- 10/ 10: 10< 10= 10> 10@ 10[ \
|
||||||
|
10] 10^ 10_ 10{ 10| 11S 11T 11U 11Y 11Z 11a 11h 11i 11j 12g 12m 13W 13X 13Y 13\
|
||||||
|
f 13g 13h 13r 13s 13t 13x 13# 13& 13( 13* 13, 13- 13: 13= 13> 13[ 13_ 18' 18) \
|
||||||
|
18- 18. 18| 18} 19Q 19W 19c 19f 19j 19m 1Ba 1Bc 1Bd 1Bg 1Bh 1Bk 1Bq 1Br 1Bw 1B\
|
||||||
|
# 1B: 1B[ 1B{ 1CC 1CJ 1F? 1G2 1G% 1G' 1G> 1G? 1G` 1G{ 1HU 1Ha 1Hk 1JY 1Ja 1Jh \
|
||||||
|
1Ji 1Ju 1Jv 1J* 1J. 1J? 2YR 2YS 2YU 2ZH 2ZI 2ZJ 2ZK 2ZL 2ZQ 2ZR 2ZT 2ZU 2ZV 2Z\
|
||||||
|
Z 2Za 2Zb 2Zf 2Zh 2gV 2gW 2hI 2hJ 2hO 2hP 2hR 2hS 2hU 2hV 2ha 2hc 2hd 2hf 2j> \
|
||||||
|
2j? 2j@ 2j] 2j^ 2j_ 2j` 2j{ 2j| 2k0 2k1 2k3 2k4 2k8 2kB 2q~ 2r@ 2r[ 2r] 2r^ 2r\
|
||||||
|
_ 2r` 2r{ 2r| 2r} 2r~ 2s0 2s1 2s2 2s3 2s4 2s6 2s7 2s8 2s9 2sA 2sB 2sD 2sE 2sF \
|
||||||
|
3F. 3F; 3GQ 3GS 3GW 3GY 3GZ 3Ga 3Gc 3Gd 3Gj 3Gk 3Gm 3Gn 3Gr 3Gt 3Gx 3Gz 3G# 3G\
|
||||||
|
$ 3G& 3G' 3G- 3G. 3G: 3G; 3G? 3G[ 3G` 3G| 3G} 3G~ 3H1 3H2 3H8 3H9 3HB 3HC 3IE \
|
||||||
|
3I{ 3I} 3I~ 3J1 3J2 3J4 3J5 3J6 3J8 3J9 3JB 3JC 3JF 3JG 3JI 3JJ 3JL 3JM 3JN 3J\
|
||||||
|
P 3JQ 3JS 3JT 3JV 3JW 3JX 3JZ 3Ja 3Jc 3Jd 3Jg 3Jh 3Jj 3Jk 3Jm 3Jn 3Jo 3Jq 3Ju \
|
||||||
|
3Jw 3J# 3J$ 3J& 3J' 3J* 3J+ 3J- 3J. 3K: 3Le 3Lk 3Ly 3L# 3L$ 3L& 3L' 3L( 3L* 3L\
|
||||||
|
+ 3L; 3L< 3L[ 3L] 3L^ 3L` 3L{ 3L~ 3M3 3M6 3M8 3M9 3MD 3MF 3MG 3MJ 3MK 3MM 3MP \
|
||||||
|
3MS 3MT 3MW 3MZ 3Ma 3Md 3Mg 3Mh 3Mj 3OR 3OT 3OU 3OW 3OX 3OZ 3Oa 3Ob 3Od 3Oe 3O\
|
||||||
|
g 3Oh 3Ok 3Ol 3On 3Oo 3Oq 3Or 3Os 3Ou 3Ov 3Ox 3Oy 3O# 3O$ 3O% 3O' 3O( 3O* 3O+ \
|
||||||
|
3O. 3O/ 3O; 3O< 3O> 3O? 3O@ 3O] 3O^ 3O` 3O{ 3O} 3O~ 3P0 3P2 3P3 3P5 3P6 3P9 3P\
|
||||||
|
A 3PC 3PD 3PF 3PG 3Q| 3Q~ 3R0 3R2 3R3 3R5 3R6 3R7 3R9 3RA 3RC 3RD 3RG 3RH 3RJ \
|
||||||
|
3RK 3RM 3RN 3RO 3RQ 3RR 3RT 3RU 3RW 3RX 3RY 3Ra 3Rb 3Rd 3Re 3Rh 3Ri 3Rk 3Rl 3R\
|
||||||
|
n 3Ro 3Rp 3Rr 3Rv 3Rx 3R$ 3R% 3R' 3R( 3R+ 3R, 3R. 3R/ 3Tz 3T$ 3T% 3T' 3T( 3T) \
|
||||||
|
3T+ 3T, 3T< 3T= 3T] 3T^ 3T_ 3T{ 3T| 3U0 3U2 3U4 3U6 3U7 3U9 3UA 3UD 3UE 3UG 3U\
|
||||||
|
H 3UK 3UL 3UN 3UO 3UQ 3UT 3UU 3UV 3UX 3Ua 3Ub 3Ue 3Uh 3Ui 3Uk 3Ul 3Z1 3Z3 3Z4 \
|
||||||
|
3Z6 3Z7 3Z8 3ZA 3ZB 3ZH 3ZI 3ZN 3ZO 3ZP 3ZR 3ZS 3ZU 3ZY 3ZZ 3Ze 3Zf 3Zl 3Zm 3Z\
|
||||||
|
o 3Zp 3Zq 3Zs 3Zw 3Zy 3Z% 3Z& 3Z( 3Z) 3Z, 3Z- 3Z/ 3Z: 3b# 3b% 3b& 3b( 3b) 3b* \
|
||||||
|
3b, 3b- 3b= 3b> 3b^ 3b_ 3b` 3b| 3b} 3c5 3cA 3cB 3cH 3cI 3cL 3cM 3cO 3cU 3cY 3c\
|
||||||
|
b 3cc 3cf 3ci 3cj 3h2 3h4 3h5 3h7 3h8 3h9 3hB 3hC 3hI 3hJ 3hO 3hP 3hQ 3hS 3hf \
|
||||||
|
3hg 3hm 3hn 3hr 3ht 3h) 3h* 3h: 3h; 3j' 3j. 3j? 3j{ 3j} 3j~ 3k1 3k5 3k6 3kB 3k\
|
||||||
|
C 3kI 3kJ 3kL 3kM 3kV 3kZ 3kg 3r% 3r, 3r{ 3r| 3s5 3s9 3sD 3sG 3sK 3sT 3sX 3sn \
|
||||||
|
3x1 3x3 3xD 3xE 3xK 3xL 3xV 3xX 3xb 3xc 3xr 3xs 3xw 3xy 3x% 3x& 3x? 3x@ 3z# 3z\
|
||||||
|
= 3z_ 3#1 3#3 3#4 3#6 3#7 3#8 3#A 3#B 3#H 3#I 3#N 3#O 3#R 3#e 3#l 8H_ 8I7 8IE \
|
||||||
|
8IJ 8IZ 8Ig 8P} 8Q2 8QI 8QN 8QU 8Qk AqJ AqZ Aqg A)R A)Y A)f LZ| La0 Lap Laq La\
|
||||||
|
s Lat Laz La# La% La& La* La, La: La< La= La> La@ La[ La| La} Lb0 Lb1 Lb5 Lb7 \
|
||||||
|
LbB LbD LbE LbF LbH LbI LbO LbP LbR LbS LbW LbY Lbc Lbe Lc_ Ld0 LdL LdM LdO Ld\
|
||||||
|
P LdS LdV LdW LdZ Ldb Ldc Ldd Ldg Ldi Ldj Ldl Ldm Ldn Ldq Lds Ldt Ldx Ldz Ld# \
|
||||||
|
Ld% Ld& Ld' Ld) Ld* Ld, Ld- Ld: Ld; Ld= Ld> Ld[ Ld_ Ld` Ld} Le0 Le1 Le2 Le4 Le\
|
||||||
|
5 Le7 Le8 Liq Lir Lit Liu Li# Li$ Li& Li' Li+ Li- Li; Li= Li> Li? Li[ Li] Li} \
|
||||||
|
Li~ Lj1 Lj2 Lj6 Lj8 LjC LjE LjF LjG LjI LjJ LjP LjQ LjS LjT LjX LjZ Ljd Ljf Ll\
|
||||||
|
M LlN LlP LlQ LlT LlW LlX Lla Llc Lld Lle Llh Llj Llk Llm Lln Llo Llr Llt Llu \
|
||||||
|
Lly Ll# Ll$ Ll& Ll' Ll( Ll* Ll+ Ll- Ll. Ll; Ll< Ll> Ll? Ll[ Ll] Ll` Ll{ Ll} Ll\
|
||||||
|
~ Lm1 Lm2 Lm3 Lm5 Lm6 Lm8 Lm9 LmB LmD LmF LmG LmJ LmM LmN LmQ LmT LmU LmX Lma \
|
||||||
|
Lmc Lme Lmg Lmh Lmj Lmk Lmn Lmo Lmq Lmr Lmu Lmv Lmx Lmy Lm$ Lm& Lm' Lm( Lm* Lm\
|
||||||
|
+ Lm. Lm; Lm< Lm? Lm[ Lm] Lm^ Lm{ Lm} Lm~ Ln1 Lyt Lyw Ly& Ly) Ly- Ly= Ly[ Ly^ \
|
||||||
|
Ly_ Lz0 Lz1 Lz4 Lz8 LzE LzG LzI LzL LzS LzV LzZ Lzf Lzj Lzp Lzt Lzw Lz# Lz& Lz\
|
||||||
|
- Lz= Lz[ Lz_ Lz} L#1 L#8 L#D L#E L#I L#K L#L L#P L#R L#S L$P L$S L$V L$Z L$c \
|
||||||
|
L$f L$g L$j L$m L$q L$t L$w L$# L$& L$) L$* L$- L$: L$> L$[ L$_ L$} L%1 L%4 L%\
|
||||||
|
5 L%8 L%B L%F L%I L%L L%P L%S L%V L%W L%Z L%c L%g L%j L%m L%q L%t L%w L%x L%# \
|
||||||
|
L%& L%* L%- L%: L%> L%[ L%_ L%` L%} L&1 L&` L&} L'0 L'1 L'5 L'7 L'8 L'B L'C L'\
|
||||||
|
E L'F L'I L'M L'P L'S L'W L'Z L'c L'd L'g L'j L'n L'q L't L'x L'# L'& L'' L'* \
|
||||||
|
L'- L'; L'> L'[ L'` L'} L(1 L(2 L(5 L(8 L(C L(F L(I L(M L(P L(S L(T L(W L(Z L(\
|
||||||
|
d L(g L(j L(n L(q L(t L(u L(x L(# L)u L)x L)' L)* L). L)> L)] L)` L*2 L*5 L*9 \
|
||||||
|
L*F L*J L*M L*T L*W L*a L*g L*k L*q L*u L*x L*$ L*' L*. L*> L*] L*` L*~ L+2 L+\
|
||||||
|
9 L+F L+J L+M L+Q L+T L.{ L.~ L/2 L/6 L/9 L/C L/D L/G L/J L/N L/Q L/T L/X L/a \
|
||||||
|
L/d L/e L/h L/k L/o L/r L/u L/y L/$ L/' L/( L/+ L/. L/< L/? L/] L/{ L/~ L:2 L:\
|
||||||
|
3 L:6 L:9 L:D L:G L:J L:N L:Q L:T L:U L:X L:a L:e L:h L:k L:o L:r L:u L:v L:y \
|
||||||
|
L:$ L;v L;y L;( L;+ L;/ L;? L;^ L;` L;{ L<2 L<3 L<6 L<A L<G L<I L<K L<N L<U L<\
|
||||||
|
X L<b L<h L<l L<r L<v L<y L<% L<( L</ L<? L<^ L<{ L=0 L=3 L=A L=G L=K L=N L=R \
|
||||||
|
L=U L>R L>U L>b L>h L>i L>l L>s L>v L>% L>+ L>, L>/ L>? L>@ L>^ L?0 L?5 L?6 L?\
|
||||||
|
7 L?A L?C L?H L?K L?R L?U L?Y L?e L?i L?l L?s L?v L?z L?( L?, L?/ L?@ L?^ L?| \
|
||||||
|
L@3 L@| L[0 L[3 L[7 L[A L[D L[E L[H L[K L[O L[R L[U L[Y L[b L[e L[f L[i L[l L[\
|
||||||
|
p L[s L[v L[z L[% L[( L[) L[, L[/ L[= L[@ L[^ L[| L]0 L]3 L]4 L]7 L]A L]E L]H \
|
||||||
|
L]K L]O L]R L]U L]V L]Y L]b L]f L]i L]l L]p L]s L]v L]w L]z L]% MHz MH# MH$ MH\
|
||||||
|
% MH& MH( MH) MH* MH+ MH, MH- MH/ MH: MH< MH= MH> MH@ MH[ MH^ MH_ MH` MH{ MH| \
|
||||||
|
MI0 MI2 MI3 MI5 MI8 MI9 MIB MIC MIE MIG MIH MIJ MIK MKV MKW MKX MKY MKZ MKc MK\
|
||||||
|
d MKe MKf MKg MKj MKl MKn MKp MKq MKs MKt MKu MKv MKw MKx MK$ MK% MK& MK* MK+ \
|
||||||
|
MK, MK- MK. MK/ MK: MK; MK< MK= MK> MK? MK_ MK{ MK} ML1 ML2 ML3 ML5 MLA MLC ML\
|
||||||
|
E MLI MLJ MN1 MN3 MN4 MN5 MN7 MN9 MNA MNB MNE MNH MNI MNL MNO MNP MNQ MNR MNS \
|
||||||
|
MNX MNZ MNd MNe MNh MNi MNk MNl MNm MNo MNu MNv MNw MN% MN& MN* MN; MN= MN? MX\
|
||||||
|
$ MX% MX& MX' MX( MX, MX- MX. MX/ MX; MX? MX@ MX` MX{ MX| MX} MX~ MY2 MY7 MYA \
|
||||||
|
MYB MYG MYI MYM MaX MaY MaZ Maa Mae Maf Mag Mah Mai Man Map Mar Mas Mau Maw Ma\
|
||||||
|
x May Maz Ma, Ma- Ma. Ma< Ma= Ma> Md3 Md5 Md7 Md9 MdB MdC MdD MdG MdK MdN MdR \
|
||||||
|
MdS MdT MdU Mdf Mdg Mdm Mdn Mf& Mf' Mf) Mf, Mf- Mf. Mf: Mf= Mf[ Mf_ Mf| Mf} Mg\
|
||||||
|
1 Mg4 Mg7 Mg8 MgB MgE MgI MgL MgO MgV MgY MgZ Mgc Mgj Mgp Mgt Mgw Mgz Mg# Mg& \
|
||||||
|
Mg) Mg- Mg: Mg= Mg[ Mg_ Mg` Mg| Mg} Mh1 Mh2 Mh4 Mh8 Mh9 MhB MhE MhI MhL MhP Mh\
|
||||||
|
V Mhc Mhf MiZ Mia Mic Mif Mig Mih Mij Mim Miq Mit Miw Mix Mi# Mi) Mi- Mi: Mi> \
|
||||||
|
Mi[ Mj1 Mj4 Mj5 Mj8 MjF MjL MjP MjV MjZ Mjc Mjg Mjj Mjq Mjt Mju Mjw Mjx Mj# Mj\
|
||||||
|
$ Mj& Mj* Mj+ Mj- Mj: Mj> Mj[ Mj` Mk1 Mk8 MkB Ml5 Ml6 Ml8 MlC MlD MlI MlP MlS \
|
||||||
|
MlT MlW Mlc Mlg Mlj Mln Mlq Ml# Ml& Ml' Ml* Ml; Ml[ Ml` Mm1 Mm5 Mm8 MmC MmF Mm\
|
||||||
|
P MmQ MmS MmT MmW MmX Mmd Mme Mmj Mmn Mmq Mmu Mm# Mm* Mm- Mn% Mn' Mn* Mn- Mn. \
|
||||||
|
Mn; Mn> Mn? Mn] Mn` Mn{ Mn} Mo2 Mo4 Mo5 Mo8 Mo9 MoB MoC MoF MoJ MoM MoO MoP Mo\
|
||||||
|
T Mog Mon Mou Mox Mo# Mo$ Mo' Mo* Mo. Mo; Mo> Mo] Mo^ Mo` Mo} Mo~ Mp0 Mp2 Mp5 \
|
||||||
|
Mp9 MpC MpF MpG MpP MpT Mpa MqY Mqa Mqd Mqh Mqn Mqo Mqr Mqu Mqv Mq' Mq+ Mq? Mq\
|
||||||
|
} Mq~ MrC MrE MrI MrJ MrT MrX Mrn Mrr Mrs Mru Mry Mrz Mr$ Mr+ Mr; Mr< Mr? Mr~ \
|
||||||
|
Ms6 Mt4 MtC MtG MtK MtN MtR Mta Mte Mtu Mt~ Mu3 MuJ MuO MuV Mul Muu Muy Mu( Mv\
|
||||||
|
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|
"1 4 5",
|
||||||
|
"1",
|
||||||
|
"1",
|
||||||
|
"1 4 5"
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of coordinates
|
||||||
74
data/cc/cc_cocycles_5.tbl
Normal file
74
data/cc/cc_cocycles_5.tbl
Normal file
@ -0,0 +1,74 @@
|
|||||||
|
#############################################################################
|
||||||
|
##
|
||||||
|
#W cc_cocycles_5.tbl G. P. Nagy / P. Vojtechovsky
|
||||||
|
##
|
||||||
|
#H @(#)$Id: cc_cocycles_5.tbl, v 3.4.0 2016/11/2 gap Exp $
|
||||||
|
##
|
||||||
|
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
|
||||||
|
#Y P. Vojtechovsky (University of Denver, USA)
|
||||||
|
##
|
||||||
|
|
||||||
|
# cocycles for CC loops of orders 25, 125
|
||||||
|
|
||||||
|
LOOPS_cc_used_factors[5] :=
|
||||||
|
[
|
||||||
|
# factors of order 5
|
||||||
|
[1],
|
||||||
|
# factors of order 25
|
||||||
|
[1,2,3]
|
||||||
|
];
|
||||||
|
# end of used_factors
|
||||||
|
|
||||||
|
LOOPS_cc_cocycles[5] :=
|
||||||
|
[
|
||||||
|
# for factos of order 5
|
||||||
|
[
|
||||||
|
[false,"Rw/*u"],
|
||||||
|
[true,"1}Q"]
|
||||||
|
],
|
||||||
|
# for factors of order 25
|
||||||
|
[
|
||||||
|
[false,"OB:_wPw=gcg28[}yWf2ey+Z^a|z'1V'7>:(U12L]NduxhqC9%,^lAJ$lGd+R&xY-MqDpp$|#k&O4;LJP,/;?HXv|,rf/D$@QWIYw)00]/z12+A^-T4'a;q[6kygZiInW<D6*"],
|
||||||
|
[false,"5zn,d/|kkGgr%mcn_WHG3*0,ASnvRTxKtN3H{sAfeZWm+hXd4Pir?wn?i&ofWgj9;Xc)S1(~da)Seu)&-N0}O)2(Ba@O})-wc~I=^[B?bo]7Dd=`Ewx,fcQ])TH}(3Ja-1v@]*pk:GWpgRlBlS:_GcQ{e%Bb}Q[A#o%Npw~B"],
|
||||||
|
[true,"3UiB~MDkk697Yh?ShcYJeyp/|.`D@M+V9qeR^]C/aUU_noye{VyHW{?v:X6@e:z#_ekgzg"],
|
||||||
|
[false,"X%yesf}wK3UZMQ*xIK.GD?Sxv(}[jQ2q$FS|ieoo1k-y3WDsv+XBZI<su/=f9#Mmyi6~'JYd:HVgUh?sO[^q1.{>[@Nn&c%0Q-FD}lch1U%7@Oo[j_R8yst}2j{WKEdidN}Yl&|3eGR+:84/Nabq]`X&QKwK&vZ-sie?M/BC>Tmrc^/a$T"],
|
||||||
|
[false,"X%yesf}wK3UZMQ*xIK.GD?Sxv(}[jQ2q$FS|ieoo1k-y3WDtKij(unBRDF=K]Z@_|wuO):aV9yhoF2b:5Bs97*L<}5FmM%dw;'|6T@_7H[$Ct8?-CP,n.X}Nn5/:2G_%LcBfYvg%:0q]<{qmQ~/<i9CAE9ftlgD}Oqm#c5]BoTXcSK<%M&"],
|
||||||
|
[false,"1UkuTqX=UnGoF4NH%>croy[i,GD]ZRNsMLN|KV{vh*9Lwv-)6:Cc,`6iV59@|1U93Tq^l)+1ijGcYs=z_YHH+e:@|_H9U'#7}QY4AR?&5)*v>YjLVkgi0k<=2SCh`CF-K)+x1Gs@#$Tb&XLToQ?iFyh%~EbvIr)I.W-URMAN*ZNfNc8cfW$G/acm=*tinG0@'4{Wx?1:30.E"],
|
||||||
|
[false,"BdI9~-PG:lXzbHWaF^p8SC$6zN:}=6PxaofDoilEd$w~oOR]>|xP@e'^89q2{uqI6Kw5>vT>-/UMS+d_+?aHbF(#4]O5{+:'LcAL*|N(L`eC`1BY-V+Z_%YQ'7N[w(*}/L1tP|k1,m9DP51]@JgMu,1fH5G.zH%w>(TD9Q<kpxZ+kD2@4wz~9Y:n(5+Tc@BIyC-$xGrTL}y%}"],
|
||||||
|
[true,"F$)1]6{~(SKUfTbwmVWma(rR`jHYTl,=Sh,}Nr58.oA1y6;4J%5tB7jn[gLrY2|L-?v73j:S^LUfY'g(447])_x-;1//p^O$%iT)$9wEtL"],
|
||||||
|
[true,"F$)1]6{~(SKUfTbwmVWma(rR`jHYTl,=Sh,}a]tN[5jFS9+S$-r)Mef2P4LwK{31_+}]3A].$F$ceo0}^EO:.;,E)C6/sD[W&7,$H(tkwN"]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of cocycles
|
||||||
|
|
||||||
|
LOOPS_cc_bases[5] :=
|
||||||
|
[
|
||||||
|
# for factors of order 5
|
||||||
|
[
|
||||||
|
[1,2]
|
||||||
|
],
|
||||||
|
# for factors of order 25
|
||||||
|
[
|
||||||
|
[2,1,7,6,9,4,3],
|
||||||
|
[1,8],
|
||||||
|
[5,3]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of bases
|
||||||
|
|
||||||
|
LOOPS_cc_coordinates[5] :=
|
||||||
|
[
|
||||||
|
# for factors of order 5
|
||||||
|
[
|
||||||
|
" 1 5 6 7"
|
||||||
|
],
|
||||||
|
# for factors of order 25
|
||||||
|
[
|
||||||
|
" 1 5 6 1Y 1Z 1a 1c 1b 1s 1t 1u 1x 1y 1z 1$ 1# 1> 1? 1] 8M 8N 8R 8S 8m 8r 8/ 8\
|
||||||
|
> Z& Z' Z( Z* Z) Z_ Z` Z{ Z~ a0 a1 a3 a2 aJ aK aN aO aP aQ aS aR ai aj ak b8 b\
|
||||||
|
9 bA bC bB bN bO bP bX bY bm bn fJ fK fL fN fM fT fU fV fk fl fp fq fu fv",
|
||||||
|
"1 5 6 7",
|
||||||
|
"5 6"
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of coordinates
|
||||||
186
data/cc/cc_cocycles_7.tbl
Normal file
186
data/cc/cc_cocycles_7.tbl
Normal file
@ -0,0 +1,186 @@
|
|||||||
|
#############################################################################
|
||||||
|
##
|
||||||
|
#W cc_cocycles_7.tbl G. P. Nagy / P. Vojtechovsky
|
||||||
|
##
|
||||||
|
#H @(#)$Id: cc_cocycles_7.tbl, v 3.4.0 2016/11/2 gap Exp $
|
||||||
|
##
|
||||||
|
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
|
||||||
|
#Y P. Vojtechovsky (University of Denver, USA)
|
||||||
|
##
|
||||||
|
|
||||||
|
# cocycles for CC loops of orders 49, 343
|
||||||
|
|
||||||
|
LOOPS_cc_used_factors[7] :=
|
||||||
|
[
|
||||||
|
# factors of order 7
|
||||||
|
[1],
|
||||||
|
# factors of order 49
|
||||||
|
[1,2,3]
|
||||||
|
];
|
||||||
|
# end of used_factors
|
||||||
|
|
||||||
|
LOOPS_cc_cocycles[7] :=
|
||||||
|
[
|
||||||
|
# for factors of order 7
|
||||||
|
[
|
||||||
|
[false,"3_pn#v%vZG2u,hm"],
|
||||||
|
[true,"8XD)^4a"]
|
||||||
|
],
|
||||||
|
# for factors of order 49
|
||||||
|
[
|
||||||
|
[
|
||||||
|
false,
|
||||||
|
"6LZ7zqxgc}c-lilPiC`M?GB6K:3oHaifw+m}Wck0)$<:23`8G]^`ZNWi.jX.PD)LQ=t;P@z-vmnQb\
|
||||||
|
u&[)h]#pmnh/:4PM4aKzardQ)8`}Ki'#/vc1)8#KUEiQ#^|_2tjm<2C&v2kclaZME~QSv5f~AW9LNK\
|
||||||
|
[7XE_.[<UUMJAWl4(8N7%Ul(F(N'nbOA^0TLUSd,uRYf4+Y~~4LR_{%#7YVaPq37CIb3isd@Ieo6|@\
|
||||||
|
LIO.C:EvqZ^7QPGo)QI@D0MnNK]}~,LD]K,dbaWPBsO^?'yl{DJs_)Vk}ENo]t~+z.rwX:>/HfA(c'\
|
||||||
|
Hsao|DL7]'aNjxMcBf?R83)6}/&E|&%(]yXE0$GT$^6dn~(1c:^83vKGaC{:U-9(tbLhd;4:s=;xg'\
|
||||||
|
lICKDy:=4&Ne5_XUb0Ev:C@e5UySPMu8-)X,_s.Q$<R]P){BhxNgi318K+O&rfWjU}j0&T`gX5B#_p\
|
||||||
|
Y{q6b]1pX@7pN9(%s&hm}*:kcj(L,we,cr(Dlo8jMO_+4/nA~KXrWb:Mk{X6xgSzqKshvqi5Yiw;S1\
|
||||||
|
Ca}QhamX6bXo[B06*e0n1w?46:'`<Z?QL|/`#$gK1#:H)>PSt{O+nQ(cSq?l9aN/W2M2)6IWhbv{qU\
|
||||||
|
Kmh]0tEn/;Ieb}wlAsgjtdm9kn3hIK;78-8QRG^8KSy1S9)k2hfL~0q>{{wmZ~(2HTGvdx62e1MJ)6\
|
||||||
|
@diIE<u#Q&sDhq:~9H:HJ&?z2Q&<D+F975-#"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
false,
|
||||||
|
"2<#MOMPOPC;<p:+BY.<Jr#4=PDNo@BsU&P01K>)1$ih(%6g9W1*jYw;CH/BS|06d::-u8A;nYily<\
|
||||||
|
^hsnNE=ju8x9SHanqD<W#(5+.$)^rX9znN#E$><y??2l01ID.tQ/8wLnjC_C@X^[us:U:y8^)crMuC\
|
||||||
|
><1KaeN2fRVA>ci(ZND;lDo@bQgpzn=kH)p@8@|Rhd)76f[{/,VefZHGAhn(4|2-fJ}G1Lp}w#[R<*\
|
||||||
|
TSx;TF~;O~uYE',oTd:m.l;#$h1)Gj=nQI8Qv}mIHax7|JQH0-kj<LW{vB%d,'Z7gntZ~;b7(z9*z9\
|
||||||
|
5;&>,lXgy6/%;Z3F8>gi<+4Y;RWK=faq6^0b&J|'ngj/e,jT~.$D&A[27.ULiB`WBIp,IX6d@Oex%'\
|
||||||
|
amVp?r~2r|5~`*;lJm)&@IYmigqxY|~-K-Ju(O,/0hkpSoQ`0r^T#Py`xrY]MKxplgp7':O>5s'C0r\
|
||||||
|
:^]bRm%]xH7nwqo:NGnSXuVMD|)DgRD+XIdKb5EWWUz>#3)nC(T#-+w@1Q%DP/Ar%oZRVrczCnvrdR\
|
||||||
|
4?3LogK&@[8tyrH2Dx{;&Uqz$@m(d2W/,8E8FiEQwMLXf9JCNiv(iE/uFwZa((uqZWR082uWX|U9%2\
|
||||||
|
T4$Zx<tx<%^W;>0RdMR=6uS[qH~Atk(])>;i7pv;lzT*Xnm|/PAO.jF&Z_?)'9Z:QO'81-%cpZ909O\
|
||||||
|
;]>wlB{#z5T<8wR|[Q?p@BO>~'4fZ[MR#52^AB<6g/=SA-hS2<PHs'WH{c<jEDjJ1G5?D>xo)iQ~hW\
|
||||||
|
uOnR@*}ei~(^1pew*hG:1R.ph`w(@Ea+11_7mI@pM^9(3Drdu2%e8f_8E3uW-7ao<#0&_Sz;pb>SKJ\
|
||||||
|
cH-g8T0"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
true,
|
||||||
|
"1J-4@vr$laUP%E'f}fdk{mJQ<8*/FneW<:hSbou9tgvHHr.B1Dd'[=1#dTe)3b^8uZtpzrH]>f'KT\
|
||||||
|
k1:pG'dC{}<D;KVDJP#VgM:P2=wWOFloiFiG8#oK:DFI5xV$B7jBS]-RB[2D9<09U;DWjMz%&.l<)[\
|
||||||
|
>q0}Tdgh[6W5@A^&*yhDvxg=HeC>=#pkYBJ[`Wc8;Ob_sWg[/jv*sGOk2ppB.T5&79LTsTUS4[>9zb\
|
||||||
|
HgJ0)AQH$Sn{EnI]cCjT.t)}9<0=+(VXm):8*+{o;(59oO6ux.RTdif=~{DVFzOOqmKv-h~`ol{c,C\
|
||||||
|
vNx%7yF2GMF*stz-A/.vmvz,K?JWkugI|eLJJ/%#C,GU-C_1=WW$[Flo)mzD:Tn8"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
false,
|
||||||
|
"|5O8_EKy9j'.GTMBs85b%PD&c/?MZ'w?C.~]frDM$vZ,G^F22^.tosRoj3~}A$D+;yYQDA|xZzpoM\
|
||||||
|
<inE-VPi%[akvH,;5[=XNT(,IzV-l;`$l0(E/<x,Jd'RwQ=O/}ZK+C]OeEkNA|=Ast[O@Jy5W3'di:\
|
||||||
|
)>2=jgs0g$Yn$$LYJZ$?kALgnqY~)`yo=p'RY9ap58,Q$1no/@ez6YzIjB{f/,qN:I2m*BL[Ng7s4d\
|
||||||
|
{o=d*)K<-%0D}eX+m=zg4EuAegss_~f={Y`A/{Lp)3Z8;Rl+%h&`,e'+Ig~,b8J_ZU49%f2p[vh:l&\
|
||||||
|
qY|IhRb=chw+N%_fxA`UkQe2pF#eWUe<rHK]0`@sCtvA_Xi%kKAjOvkpy^,2d~H)gOw#Gz]57>/uzQ\
|
||||||
|
5l&}}QFv+>T</7uJRHb=LN*spapGLoJI;:-mKv_2+x>,%[c85_CJL`l_Ps?$M0q6YDIwMpaE~F#Tk^\
|
||||||
|
QKtFlR,pr@#J^F}jtFcMrx20sTWeT-s&BuToQn6W/a`U_tI1cxc+@s/TGf,AHM;SFmM=QNNe`oQThQ\
|
||||||
|
*+L;qWiGtz{52dZJ{*=]7V/Elmm{nm'8_HG|on|5:tm)zEzBsGe?.;/3s6KqNqKb0?|-$h(G'f-;I0\
|
||||||
|
xJZsV.b/:FNy.2,$mF@4R`D/H{27rY_fj:sXxhI&^M<N=SWKV.;GP$ag<XJVN.[0(3.u)`|tX^~)7[\
|
||||||
|
><@-P_,~l7A(h?9I[O*Ql9<Y>Ap*DXoqp-lzr<HiA'dAZiDHk{Kua>b{g#UK_L>OdW:s8[8d^Md8R>\
|
||||||
|
ZE;B^gq/%jO0hhvH6B:`EXYPx,Y64+>IFCOF$C}uD(c]ACzID<zc0|y^-t3KIHrQ2(hcZ~B&%w`ycE\
|
||||||
|
872Js}_:#r'/?RSjeU>(b<Ho^Co.q_"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
false,
|
||||||
|
"|5O8_EKy9j'.GTMBs85b%PD&c/?MZ'w?C.~]frDM$vZ,G^F22^.tosRoj3~}A$D+;yYQDA|xZzpoM\
|
||||||
|
<inE-VPi%[akvH,;5[=XNT(,IzV-l;`$l0(E/<x,Jd'RwQ=O/}ZK+C]OeEkNA|=Ast[O@Jy5W3'dod\
|
||||||
|
<x:&uNKwLO<,6vBY:PIaEN.#Y#LLnW'-W5GO#rp(Kt<,V[4hC^Cv4_iy<wNP4]w3q`P,/YY50{c+AJ\
|
||||||
|
|%AssRR+}[NR}3kx%5(ybiJxt:.`k]7|(K3P,c?[FQa&}]]Btj0%S+MP*Obv;I}bp6VtGk0X<6JCU4\
|
||||||
|
xgQ$L>*Oz1JSPfnyQxyTIVj(grQ(.{]<_QNd{HvB>cvo)pQ0'`_K2LOXFP;zqY/Ucl_vuqC2dsvw*g\
|
||||||
|
-4EaN1U28ip],fviGs2tDw7b60Wn-=b`1++TH7guS$O&V|uP`AO5H|3MxWG>r%pH9OX|4uvRJNG;ql\
|
||||||
|
?jRsTg`>.rC}'4G67|BGe:YFYyqe9/BAZk^En]#4Z;n|(7q/<bXGlM+o.#^b:1,/]y,3ajw3V)dMc/\
|
||||||
|
{K5LvfFziHK(;s7Cn|wmaP$+2FUfS3dzB~PHaQ#ZZ2Ogk}OZ+:R|`YyesFa~K3S'0E`Gwv3~A&>eyS\
|
||||||
|
G[JZ(Xi9H~Y(<U:.EU#)jfW%*{[<jJ&{8]^<.k:x]ujifa6H2X?Ryx})Xa*7li;lhAM(q_0g^m<G<@\
|
||||||
|
8sb,a9^kBCo,g6:C||I|XV`2V('7g{MZikAo9Nd`Ga+G1Akiq?+i~a$E>q]$KS,3niWslVp`h2O@@^\
|
||||||
|
5k4UO4C^SVuX8JfE(un?-2`3|o`U$'i0Z`Tl^T0&w=RAS?,DPC^]Lm>#I&mEH2hq.2qRnClYht]=Gi\
|
||||||
|
i,_4/QLlTY*hs+;2Wx6-QIA}'AHv=k"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
false,
|
||||||
|
"1R<zJxqLZ48F40Z6^DE;>A2VlizlKV3v-M)ZvkQ:Tji6)q?.aHY/DVViT^./4LJWh`rt`xi[*&<Rl\
|
||||||
|
?]E6^]ZDb&la7XyL+xNM97c2?SV8=y`UBdVNRs$0|6ibjenX;[g-3Vu7|#DMb+sm^6XN8_>9|aTH?L\
|
||||||
|
du#P07`Iv7CTiny~&/LQB>+#Zl9=NhGgUx]]#w;-GQ'wv]/FjC|4^7ZT%{zR>2rI(V/y.h([}$t2iz\
|
||||||
|
f-;OMY&e3Psmid9?So^iLiPu|gJ&VjM]s-=+Eg|[eE]7+T3[P>Svq+jFh>Kh5xs<_7Ck;p|]_#'iYy\
|
||||||
|
'X[Qy>.gZduu'u+2T)nm3u?%(29||or}k`X|v%h%J#/J4,3L&X00^aQ{;?;|'Pb.4Eht7Ca;5.S[j`\
|
||||||
|
`0c`V]Ub;<ae=}#FCIO@EZ=+G1|#~SD:<'^P2;UQCQ_ub&XpILaQCR[+oSevh/W+}-Er92E#:?t#@f\
|
||||||
|
VBn]*{k;jTT{8RT5R;y+z]bJDP_9nn]d8fL|h^)zwCpj9_7-rl2|U1j@~>:5Q`b[[M-Oh;(@tF[+Tv\
|
||||||
|
eHb>qs}nAl3y7%HqX1=?%-n0i*ocR*xBZ_x$;4x]0Fu7^lEB~k>c?[(`QDRjVX]_<2ij}IFx#<9K2-\
|
||||||
|
@)dqWB~HzSZu]FO]({=(2[~LxX`Lt;t}I:h=m$qC?GcH2$TbtMKF9X3}69Z((tU]u|Tncz:v|F|UnY\
|
||||||
|
egR=5{).>w)nn09;eYNX;P`bQ/v%#YU=wtMH^/BX{'X{AuPd]kn;J[o;ekyo[_:E0r]mYYeWV>s,7B\
|
||||||
|
BE]?}>*N8fb&bz%TB}}.q#zQmGe+N%6>ZW'9C&j?h0}H/MA3,Q%fs<69Ugp<$35yuSsYjNi>uW4+*F\
|
||||||
|
joC{o}A*aMgY6B~K-%)s,M0cMl+RyG?Me&*0<tn@Y;$,06Z.';'I$dS>NXHhNI[wPKmAAxi=$[eKf'\
|
||||||
|
5wm;j4Ia&t?o}.7PC[8p0`}m1K7Z=6i0AaV3|Cx8QHUtN@s_d_5/Wxy?"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
false,
|
||||||
|
"Lw{bh?7j,xG$S*E6FG+~*YFNS.3R1PZFV*O}$x=$,>L<J.Yav<n_Wd5ndc~;El}*M/xbtV'08T/fa\
|
||||||
|
$'$-#X{7dM/H*$.V&S$B>#)im:wsCs<Y1sSE*&SUkV#YJqmB$8J0mqHelt3+1qN${_laewI`^uvFA9\
|
||||||
|
(I5<90(I/h4Ws0(3d?J&+[UJ'~jBPaAM4&vT}b2#18r%{Qm'_Ah+t4A(6qI^#%OV7s9_Vil?8ViR+z\
|
||||||
|
f[TF->eS)/+@9A)t[n.3|dKa.@K`s)}Nsu*^;9StpOA[0(XB.V`P.~L0v}d1+^p2NB)g26p^Psb{V9\
|
||||||
|
BHO_{bg/p@`pL7IZ$b6>,yb-t;B'08oMD&Y$JO'kC$rXI~$AhF8[@PHwH3c$14p-O7l7B+[ROu$qWy\
|
||||||
|
{^Q6C>Kfp/GF;9XW6KK=oy[}4~YcJ.|)%9UuHh'pWFfpeqQ]GJOOM`-8ED_B7bQCDakbBNmL'OB;5j\
|
||||||
|
;{T}<fQ;3+(nR3TOW:PWIvy#StF:orsq/TjSwj)?Y:5Ca6d/hp,(w#IAJ7zH^`)pIA@jwO<hZ??s>A\
|
||||||
|
Ld:Q0HyXS}I/8L3uO.J$jEe'h~K_<OY]G{4HtG(,[v=?@#84%MIm$Sqs?nUi>=4&-5w=z|;emc@CrC\
|
||||||
|
jUR>)us<r{'6uz=Ab'A;,}DazUn,ZdwOQIQlF&ni>E~*56m#tvuaVadVoViN4e&+pJyoS%2Fm;Q[2x\
|
||||||
|
K)3-MvYx(5tu>t6l~%HaS)y]T@/:.pHpozrwa_a0qU2pj/S%r?U1-EL9/if(r^h=b-|F1f-PrEPsz_\
|
||||||
|
}GB52uB'I`u84~gO<[8/vkfDCki`;5.A[p9$d?xM(p3GWRNJ#@Wq)yLzBZ(q)`bEEHrw8ZKH*'Vw0h\
|
||||||
|
[lL@121{+P?zf}OE$YsQkfuH[tIZ?.{H$1D7|C&W7BMTqfSy<gl&C^1):1qdXEhCi5bygN?TgD~$`W\
|
||||||
|
-*dY'6rOu3i],t2P*;L*AoJJpG('I7#]cZ'%arVh]]tl`{4ooc;P00@l7N"
|
||||||
|
],
|
||||||
|
[
|
||||||
|
true,
|
||||||
|
"PqiHcf~[]i1P_1|@t$o>+d9Ecilr7kNxGB;R[w/aw.3O[%>aeU=WJ~Y8O$zGGV^coY//F1eor,:Td\
|
||||||
|
-Km_[4gn:qN%,Jjh%=j5*|60k,I=R0AoUy/AjApFR:YiCN(hs|<(9oz38k:*P8vb}.s-V%jKa?AtGG\
|
||||||
|
5+[_~.e@9vp_G1+AS'SjrvnBt22Oxe0~*ce|@N./@PJK{w%JRq=Ur~R`fn)PB3MS|Yk%ObQ}(nt9VB\
|
||||||
|
}_H.s$9'U~:olU@Nr[}PIn@{@WP~#8gW{sY+YD*+J*en&,U;L>rks(<{7FkONs4sLsuAqXL,tS3C8I\
|
||||||
|
|3DaDkb<A3V6F)D+e~3B]0X~^h)PF|$BF]WVZvxECa0c?6k6yT:g*>dM6vPb1:`/S}%V?_yqzxZ$+v\
|
||||||
|
dltf>v2Y1DG=ud+yJHu&UcNXnWr)x9aO2_'rDV(CtY2XwuYYuZNTVMSJIk{(/-e|R>AK=-DJW]YkWr\
|
||||||
|
SRZx#xA)R&~9,|@H$;Qp44%1OL=[)nVY-T#e?="
|
||||||
|
],
|
||||||
|
[
|
||||||
|
true,
|
||||||
|
"PqiHcf~[]i1P_1|@t$o>+d9Ecilr7kNxGB;R[w/aw.3O[%>aeU=WJ~Y8O$zGGV^coY//F1eor,:Td\
|
||||||
|
-Km_[4gn:qN%,Jjh%=j5*|60k,I=R0AoUy/AjApFR:YiCN(hs|<(9v|,VJWuIaSjnjND:b{ySC9.H|\
|
||||||
|
r$]Z..3Z0:[?2PaK`}A]B>uB*h~/>1M0uD<)De=|9d+pOn?]wErg1[*0-R5)?qblH%`73nvNmZQ;z5\
|
||||||
|
.WX?J+odUr>4fY`~cqv}.`(%zI,UZ@/P1{tAm<q`~9Kqo/|?wZl<_Z*uTo|o&O{gb_bV$|l5PeO7Bg\
|
||||||
|
%Ffgx_$>Y}-GwoXn)$pvic%DKA:<:bJ.IQPSnnLwuWDD,]5{([)XEf1M,5<vM.Ru)f7n%8HDv_xM]V\
|
||||||
|
8f@7iO;>ORc<D6P.;pLjwMp0JJhyq:Jb./,/3iQ`^8^QYrBG#MQj}ZjmUu3nmZ-4gwWoqztIA>Lha*\
|
||||||
|
aD[J{@-Zw)BE`cte3}[*+7)J:0YITvzb58xr*g"
|
||||||
|
]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of cocycles;
|
||||||
|
|
||||||
|
LOOPS_cc_bases[7] :=
|
||||||
|
[
|
||||||
|
# for factors of order 7
|
||||||
|
[
|
||||||
|
[1,2]
|
||||||
|
],
|
||||||
|
# for factors of order 49
|
||||||
|
[
|
||||||
|
[2,1,7,6,9,4,3],
|
||||||
|
[1,8],
|
||||||
|
[5,3]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of bases
|
||||||
|
|
||||||
|
LOOPS_cc_coordinates[7] :=
|
||||||
|
[
|
||||||
|
# for factors of order 7
|
||||||
|
[
|
||||||
|
" 1 7 8 A"
|
||||||
|
],
|
||||||
|
# for factors of order 49
|
||||||
|
[
|
||||||
|
" 1 7 8 3+ 3, 3. 3- 3; 3/ 3: 4E 4F 4H 4S 4T 4V 4U 4Y 4W 4X 4$ 4% 4' UE UF UL U\
|
||||||
|
M U% U, V. V? 26g 26h 26j 26i 26m 26k 26l 26< 26= 26? 270 271 273 272 27A 27Z \
|
||||||
|
27a 27b 2E0 2E1 2E3 2E2 2E6 2E4 2E5 2E7 2E8 2EA 2En 2Eo 2Eq 2Ep 2Et 2Er 2Es 2E\
|
||||||
|
u 2Ev 2Ex 2Ew 2E# 2Ey 2Ez 2E+ 2E, 2E. 2E- 2E; 2E/ 2E: 2E< 2E= 2E? 2E> 2E] 2E@ \
|
||||||
|
2E[ 2T7 2T8 2TA 2T9 2TD 2TB 2TC 2TS 2TT 2TV 2Tx 2Tw 2Ty 2Tz 2T& 2T( 2T? 2T> 2T\
|
||||||
|
@ 2T[ 2T- 2T/ 2U% 2U& 2U_ 2U`",
|
||||||
|
"1 7 8 A",
|
||||||
|
"7 8 A 9"
|
||||||
|
]
|
||||||
|
];
|
||||||
|
# end of coordinates
|
||||||
94
data/rightbruck.tbl
Normal file
94
data/rightbruck.tbl
Normal file
@ -0,0 +1,94 @@
|
|||||||
|
#############################################################################
|
||||||
|
##
|
||||||
|
#W rightbruck.tbl Right Bruck loops G. P. Nagy / P. Vojtechovsky
|
||||||
|
##
|
||||||
|
#H @(#)$Id: rightbruck.tbl, v 3.4.0 2017/10/24 gap Exp $
|
||||||
|
##
|
||||||
|
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
|
||||||
|
#Y P. Vojtechovsky (University of Denver, USA)
|
||||||
|
##
|
||||||
|
|
||||||
|
# Right Bruck loops of order 243 are represtented as central
|
||||||
|
# extensions of the cyclic group of order 3.
|
||||||
|
# The necessary data consists of:
|
||||||
|
# - LOOPS_right_bruck_cocycles, a basis for a superspace of cocycles
|
||||||
|
# for all factors
|
||||||
|
# - LOOPS_right_bruck_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_right_bruck_data := [
|
||||||
|
#implemented orders
|
||||||
|
[3,9,27,81],
|
||||||
|
#number of nonassociative loops of given order
|
||||||
|
[1,2,7,72],
|
||||||
|
#the loops
|
||||||
|
[
|
||||||
|
#order 3 (Z_3)
|
||||||
|
[
|
||||||
|
"201"
|
||||||
|
],
|
||||||
|
#order 9 (two abelian groups)
|
||||||
|
[
|
||||||
|
"204537861534867678012861207201345534",
|
||||||
|
"204537861534867678120862017012453345"
|
||||||
|
]
|
||||||
|
,
|
||||||
|
#order 27 (placeholder)
|
||||||
|
[
|
||||||
|
]
|
||||||
|
,
|
||||||
|
#order 81 (placeholder)
|
||||||
|
[
|
||||||
|
]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
|
||||||
|
LOOPS_right_bruck_cocycles :=
|
||||||
|
[
|
||||||
|
# cocycles for factors of order 9
|
||||||
|
[
|
||||||
|
[ 9, true, "2'pwq" ],
|
||||||
|
[ 9, false, "ZBj[+>~vni@o7" ],
|
||||||
|
[ 9, true, "3#QhSwvJx" ],
|
||||||
|
[ 9, true, "JP_g" ]
|
||||||
|
],
|
||||||
|
# cocycles for factors of order 27
|
||||||
|
[
|
||||||
|
[ 27, true, "3@1Aju?P%w:;@a,0x-#3WF%=<0|[/XeKIur8%Myq" ],
|
||||||
|
[ 27, false, "~r]%_p(/($qr{(,=pRww5eIAxf6AV2ya(q-<Q`=n*o?{:aQFYs^Z67D/j;fk~4cBp:8U7M)C|fm@FqBGk,iDTH89oS54Uw9{:O0CIT;,eT`V*E8$nTS/($" ],
|
||||||
|
[ 27, true, "12.W./ADP*t:.tkW}cA50,w,lViI;q+2X/xlnaF,#}?)usJ9w~~kTglq[qJ~&]L+JcPn<)2OxD1F82f{73:MP(" ],
|
||||||
|
[ 27, false, "vcV(GHJH0z&v@Sob,UDrLY,WD58fYB|3t0OVb*SbDq,Os1y;[wh2$(r^(U^m@Yz*0EJwD_MM7p/:+?DN|B6@}lcIo#9_Tq,qrV=`$yv;#Ao$@E&ez3zv4WCL/0U%Z=r1*MmY9WL*_rMtFFIWg-9x>" ],
|
||||||
|
[ 27, false, "AZDm2AKcJkMsQcdWFt+aLX[xZ(r8UY1'fG3@c4[6W~[>TmU0@q1WmzP%~/s[81]q,Q4%z9D/f{Aw;|D'4I3JJA8]#SJw/2{zF*.$LfX)p:H`d4PJpjh5.Ff13Ri*~8y-)#nE&R(U#=p1|MkWN'StZ4n]d?x<_h>7aa,k" ],
|
||||||
|
[ 27, false, "1M,aaVut'THt&#I8$eX`/zd6Y61SWR*J/0w}.GTnhbAq*[xNs%%~,8d06kof'{(&R;Yp7V^N7}-CM^-xbO@'FOJN$,xA5[(Y-t~7#u>6`}5xnm`[`w&zEv2CDzM/)'l~qj|B*5n[~*p/LX`2bhF^Ni]^|%r{XWec*B)" ],
|
||||||
|
[ 27, false, "92DM|aq*TP]rsR*EQ$z6je~2'=+_OdSB-n=+e+sX|h9%<-GHVfygl4=MRL`~Z1%WDlExwz:Pkf|&l#$,;gkB~%&6>IN8g9l,W>w0>i^lHKrckmJKMW}vB&" ],
|
||||||
|
[ 27, true, "2Fn}rAZjS5%1++ZJQ=]$[rHW:=|k`14E44FV{vleOG?HDkycql}DTzo{rNK{449-dI|`]P$~d" ],
|
||||||
|
[ 27, false, "3No|.dC2S{f$z41B,@,dWo#Pbn^j05+;^BdD%qT#J-Y0A3aX;~]~?]AJFrZ]Lc6,F%(0lQP;2JWtRkAxgwm5hqDjEaOxuA@)*UEuS1i_|neKW>]Gc^f$*hriOT&$W{H5@(Q53QHK$/+BBuv@7Nt57S:GX$#^" ], [ 27, true, "RL7.:Q{l+0K.vFgjWJ>:Al+5-'HV|x-3W6oKPe}" ],
|
||||||
|
[ 27, false, "S||kz0&UY#`u{sajCjc?q~9uh`&f8x~qY{I{&?E%/NEhWR%Rrs~'rJp7IVUF)rN7Kpk'hTt5)4nz#*IlRw>tDb1TPF[C.&FdB)<(;#XCDP.M/[rnMcXC{j>6:+d6rSyuLodfc*Y=" ],
|
||||||
|
[ 27, false, "G`EoVUtm{j0}G'NaLnI`~6j6Ihy#JaaR,E`T%O?v--xeZ[QR/sU4VS*ln./35g[m+|KE(R8>HFEuK%~/{<zXhJ93?q46Aa{|;$sjmJUof>//(PsGRw&tu;d4ap8m=Bm<8r&wu^4gQq'V_NXRbh6p#=$1uH$0" ],
|
||||||
|
[ 27, false, "(m6f.dLaPEH6f9>wYlYw'C=3nMc4C~0l1VkV8t#tpU#m}aQ=/PZv.Npk9aeW4.edR=ISNyLR]dKN?kb#EYl,z0gM^m4$#Fd0nQI5I+P|LWT5wSmhg`9o0" ]
|
||||||
|
]
|
||||||
|
];
|
||||||
|
|
||||||
|
# The first character of every coordinate determines the factor,
|
||||||
|
# the remaining characters coorespond to coordinates with respect to the
|
||||||
|
# above bases.
|
||||||
|
|
||||||
|
LOOPS_right_bruck_coordinates :=
|
||||||
|
[
|
||||||
|
# coordinates for factors of order 9
|
||||||
|
[ "1", "1R", "1a", "1C", "1d", "1m", "24" ]
|
||||||
|
,
|
||||||
|
# coordinates for factors of order 27
|
||||||
|
[
|
||||||
|
"1", "1%G1", "1_p#", "1Slp", "111$q", "11N8M", "1N*|", "1{_}", "11)M?",
|
||||||
|
"1U@=", "1|(7", "11z]8", "11JB)", "11]R*", "1j`(", "11elc", "13Fa",
|
||||||
|
"1(Vb", "11QNw", "11lxS", "1ARQ", "11XZm", "1mU3", "11Lk4", "1tf^",
|
||||||
|
"1#r/", "1`W,", "11xm-", "1MG+", "11?^g", "1hqe", "11G)f", "11jP1",
|
||||||
|
"11'y#", "11N?V", "1o%U", "11.-q", "11cbE", "11NeQ", "13Nb", "11l(T",
|
||||||
|
"11=wG", "1fQE", "128|k", "1@&>", "14*i", "1)_j", "27CH", "281",
|
||||||
|
"27KI", "22z", "2A#", "2I$", "2GB", "27SS", "2Eej", "2I-", "31bWB",
|
||||||
|
"39", "3%GA", "31bY-", "32+", "41&>u", "4Stt", "411,u", "423iK",
|
||||||
|
"41bmD", "4S$&", "411>'", "41'4(", "6%GA", "77B`"
|
||||||
|
]
|
||||||
|
];
|
||||||
Loading…
Reference in New Issue
Block a user