|
#############################################################################
##
#W cc_cocycles_2.tbl G. P. Nagy / P. Vojtechovsky
##
##
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
#Y P. Vojtechovsky (University of Denver, USA)
##
# cocycles for CC loops of orders 4, 8, 16, 32, 64
# which factors (by id) are used in the construction
LOOPS_cc_used_factors[2] :=
[
# factors of order 2
[1],
# factors of order 4
[1,2],
# factors of order 8
[1,2,3,4,5,6,7],
# factors of order 16
[1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,35,3\
6,37,38,39,40,41,42],
# factors of order 32
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31\
,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,77,78,79,80,81,82,83,84\
,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,\
108,146,147,148,149,150,151,152,153,154,155,156,173,174,175,176,177,178,179,18\
0,181,182,183,184,185,186,187,188,189,190,191,192,193,208,209,210,211,212,213,\
214,215,216,217,218,220,221,222,223,224,225,226,227,228,229,230,231,232,233,23\
4,235,236,237,238,239,240,241,242,243,244,245,246,248,249,250,251,252,253,254,\
255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,27\
4,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,294,\
301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,32\
0,321,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,\
346,347,348,349,350,351,354,355,356,357,359,362,363,364,365,368,369,370,371,37\
2,373,375,377,380,381,382,383,388,389,390,400,401,402,403,404,405,406,407,412,\
414,418,419,420,421,422,423,424,428,429,430,432,433,436,437]
];
# end of used_factors
# cocycles generating a space in which all needed cocycles live
# we use a single cocycle space for all factors of given order (which saves space)
LOOPS_cc_cocycles[2] :=
[
# for factors of order 2
[
[true,"1"]
],
# for factors of order 4
[
[true,"7"],
[false,"_"],
[false,"1B"],
[true,"h"],
[true,"k"]
],
# for factors of order 8
[
[true,"BM"],
[false,"Cl@wp"],
[false,"E(54y"],
[false,"K>:a_"],
[false,"K>:p5"],
[false,"M9r6~"],
[false,"AtM/L|"],
[false,"5:>^gaI"],
[true,"2MEX"],
[true,"2MPf"],
[false,"18CN}~o)"],
[false,"1/KP@;1t"],
[false,"1/KP@<?5"],
[false,"1/KUpk`C"],
[false,"1;FFM'(q"],
[true,"2sq+&"],
[true,"2sq<V"],
[false,"585Q;d>z}"],
[true,"2tTN["],
[false,"58WxPVcNA"],
[false,"58WxQS+={"]
],
# for factors of order 16
[
[true,"B19+i0"],
[false,"1IR?2wZ_^UU&geEbmJ5F"],
[false,"1O#d'mVy;=i[ZWrj2=`I"],
[false,"47wZjY(toCDerRU.0AHp"],
[false,"47wZjY(toCDn(#-j}A2M"],
[false,"4B}FYKvcj4<$1E[=9T7D"],
[false,"6.axE|L#M?]6|:@z0G}_"],
[false,"6.axE|L#M?]C5:Y5nvU>"],
[false,"6.axE|PG]1A|JB5^_9)?"],
[false,"6:.|d9ugykl~Jcy3Fbr/"],
[false,"4|<g4i:&cJU?Yvb}O^)xBjgO"],
[false,"4|<g88)WkDKM3$s4ds$f+^*v"],
[false,"4|<g8Cq#^hs/g~q$_-O(8x+|"],
[false,"dY/mYK_MgzHZ(VaL2vrLOFVs=J"],
[false,"IUax}Q2MXb_0VjSqa/8gB/F^ELiV"],
[false,"IUax}Q2MaC$O17.x9p=0IJ(pj=~H"],
[false,"IUax}Q2MaC$O17.x9p=4#(fu9IM1"],
[false,"IUax}Q2MaC$O17<D*$5@dj[:c]uO"],
[true,"?QFJJ[o}vb$s"],
[true,"?QFJJ[pv/92("],
[true,"?QFJJ[z~(G_A"],
[false,"1_4UbD(i{VNz+pB{+[FFh)};))c~9J"],
[false,"1_4UbD(i{VO>x(AVqmdUgHA+;^A3&$"],
[false,"1_4UbD(i{VR*Mg.;#H4:[5L[,j-?I&"],
[false,"1_4UbD(i{VR*Mg.;#H4:^(fvzM?F4o"],
[false,"1_4UbD(i{VShqYIO*XJUSC2H=q{`V1"],
[false,"1_4UbD(i{VSla%utCIE<a${+q#}nYK"],
[false,"1_FUe`B=+ixhoB;dlh>}5:M~~d|3d<"],
[false,"1_FUe`B=+i$p23lSc**wjP]J.qhqO%"],
[false,"1_FUe`B=+i'Pm6{DE<g$o>KIN]:`YD"],
[false,"3Kboz]p/^[kN}(|hnU8oli{G0qRgQ,"],
[false,"3Kboz]p/^[kOBw}@(dw__qg@#;0B$~"],
[false,"3Kboz]p/^[k#n@Jxx?%kVLV&qEP~T["],
[false,"3>CUjLPel(6,T*DM#N1dz$HU}G*@d("],
[false,"3>CUjLPel(721xmhBS(3IP6Ca-r_`+"],
[false,"R9s'4lmx^,MK@Q~6f_iB7Cj](Waqd{P"],
[false,"4*#uu3s>lU,]iV[psf`=e%qqr|r=CkaT"],
[false,"g[I){u,+faj@nBXktvh[q-#p2'srfQy=f"],
[false,"g[I){u,+faj@nBZ]^@uM=oG{~w[%F1ic."],
[false,"7nfREvgQIb=%H*I@,^c=jjMM.}b>]+QMUv"],
[true,"1gn&0|r<|j:?*a@|y"],
[true,"1gn&0|r<|j:[|th,3"],
[true,"1gn&0|r<|j;0+gHC_"],
[false,"1UFE|*gY$|^8uPl{E1m?CDX:ndgOAL1`:4V"],
[false,"1UFE|*gr3Yr6,xChhz_P*&Y[cs@{rEYa^kO"],
[false,"1UFE|*gr3Yr6,xCl4>>OkW,Xq*=y@dOn;q*"],
[false,"1UFE|*gr3Yr6,xCo30N%V8HQpial8UCIuO0"],
[true,"1gn&1Dxg#xErT<[*["],
[false,"1UFE|*q(6?bKNYH.y|&Y[f/wWV~+%[Ccu:r"],
[false,"1UFE|,ao3c.t2s{;Hl8=]s6kMJYA$;R/*}j"],
[false,"2J__u_eRj{nEXCJJY+J]/2BCKem4flvldSO"],
[false,"2J__u_eRj{nEXCJJY+J]?2aId:,nS#y93J$"],
[false,"2J__u_eRj{nEXCJK)u75k0`~.,HY4rEgl}A"],
[false,"2K9M2l*kdoWu=*&@p.n74n~nyasTle2fUF]"],
[true,"4;V;&AJ2<&dSLqbEZ~^"],
[true,"4;V;&AJ2<&dSLx$3z|r"],
[false,"HpFNxGf3Rn&IXXXLvMxlChe|[na1SsX=:#,-+"],
[false,"HpFNxGf3i>g~cRRqw*[@Vp<}_/u@;9Fy<9@FK"],
[false,"HpFOB7uGZ6$qDz>{s:E~'`]nD`l%i4C[xM4#$"],
[true,"4;WUK@Q^p8/@aP;/r`^"],
[false,"HpF%3u?2@eOhd#6DF)9Qka,P-nCj&gVG9l32E"],
[false,"HpF%3u?2@eOhd#6DF)BJ{P}Sq-T?dGVL-@~)S"],
[false,"HpF%3u?2@ws=oA~`|>?pWrr5B]J0Z`zd4=)Q#"],
[false,"HpF%3u?2@ws=oA~`|^+io~S8`fGj4n5_]>p_`"],
[true,"4;WUK@Q}]n2|UZyc|Ka"],
[false,"HpF%3u?2^@aJuxV9w4'y8y$YliDnN:d1[2=`]"],
[false,"HpF%3u?2^@aJuxV9w61H3qdxvNk=m2/5UDw4c"],
[false,"HpF%3u?2^@aJuxV9w628tJ[Y{r-MwCMhe|kX<"],
[false,"HpF%3u?2^@aJuxV9w9Yq)76cdLJDR*(1Btt}O"],
[false,"HpF%3u?5abZ+t]KaWjAD<T,;j7I?w-)rGv4rr"],
[false,"HpF%3u?5hN$%/T6{@j$&0m_3$Zjrxj.~s{{au"],
[false,"HpF%3u?5hN$%/T6{@nrS}@=J0xLGR6nl0dCUk"],
[false,"HpF%3u?5o6ZP}bJ0L+$gRpuMqR.wxL'fPCb]d"],
[false,"HpF%H^IZfx]x2bh$FI};+K`v>rB$:VnS4/WtX"],
[false,"HpGr/LJ}pNe~?UGODby=CC)O;YKfjf2AhXn?2"],
[true,"4;XSM;K;/5Orj3>sJYr"]
],
# for factors of order 32
[
[true,"veiSTU$0YF>B>&nN:qY3F"],
[false,"7dl5@}_H4Sp+u[17[b6#nulzN+|6m>kv&UjH/ccZy,LWaMKM78D@JC-QdPq<wEk'X.)D8L(CW7Uouw"],
[false,"7gDs:r[vCd?{*?MU-2oI@DHm1z;N}6weJ77Ng_AT%Iiz2F@Vg(:[@tY=:Uz-C9PTrNUX5qxHWzD#KI"],
[false,"1LZV#ebesR(@jPE0X==$u`ZkLhzEu0D#w]63dH2'k(+n<tfn7LmS1?sMO>`{6+_rYjc|5Hi]lpZ{LLF"],
[false,"1LZV#ebesR(@jPE0X==$u`ZkLhzEu0D#w]63dH2'k)Q3R0Q@](($OsO.BE8H:mv;Eg/ESFM.pi-G7}C"],
[false,"1Lb#$*W-{B3xPNETVn-p0GjD*Jtp2>3W;&n*kcD%nSAJ;;nQi?74,W(aZB_=up2pogyUsCUPwh&=H&w"],
[false,"1Lb#$*W-{B3xPNETVn-p0GjD*Jtp2>3W;&n*kcD%nSu%QLYxUZQe36b{Lb79YS&/Ue4l<A8F#bB74gt"],
[false,"1R`P3b.|~*29c0cHZilF~&_Y+GhiDr}IDiW`C7))O#l)$X[o?MdePXM%w[jQxKoJy_{}Re/.FwQX@{I"],
[false,"1R|sZ?Vh]S1ZFy4k<8sG^TlDl,]tC^8;(v6^+s]G(s;ET)7ZI`19WI+~kNSYn1Tm{Xm<YXB7PbaZ6n$"],
[false,"4IA}mkaS:d(48U^1ODU|^c^T.2?n$0knIRu^gLj#VmdyRO)dg.Iw>JKvmH4fN4sZ?@x#-N7A|](x~Zp"],
[false,"4IA}mkaS:d(48U^1ODU|^c^T.2?n$0knIRu^gLj#Vm,P0C&*7g)K{Y7@H1Yu4P:pYlA/l;D^Q6fT/8}"],
[false,"4IA}mkaS:d(48U^1ODU|^d0cS[|.'Ypk0Nma>n>c:tdW9`O>Cl$`W9xWay;5P7ey`U%%?q&k/]$EPDM"],
[false,"4ICqY<0aO`uA/.MV?.xpKVd^Ei*f$P3A'.`yLzVSMW'xH/YvX6B5EjKhgH1ANqU2/jL%p~;+bCEU`Oy"],
[false,"4_oZ(+w,ZJ}q~9u1igf-j-p2_]#wg0s)rxOD&)A^4}9Hbd:ES`BL7nY}8k/:RA*Vk~%>K*|z8Nq:^^y"],
[false,"4_oZ(+w,ZJ}q~9u1igf-j-p2_]#wg0s)rxOD&)A^4}b7zzT|uxM=vp,]Ih$|V|YjG+_}q)vI&JuXMYe"],
[false,"4_p-oXb-s[*Lf$1tO>uSmCcuNp4#ABmo%UoZFiZ%zB0?zJYu>Lq%#<ztOvjAhwL7#*Q0j&mcrpb[cg^"],
[false,"6~=|ok~=Y'K(iLI#+qpvJYnnz4.qiVG[0F%n+Z;C[?'9jfN5AzV7A#YZJw)887yTh:c/TcgIQ=[dTS_"],
[false,"6~=|ok~=Y'K(iLI#+qpvJYnnz4.qiVG[0F%n+Z;C[?]yy%[Lp%wu:?()q?YQc9VwSF-UP|Fx25v$045"],
[false,"6~=|ok~=Y'K(iLI#+qpvJYriQdHjuT?Ty^JXepseQiFYP&TH3{uMZ6j,.]6)~9MXQvLZ3&3=xmnsXk>"],
[false,"6~=|ok~=Y'K(iLI#+qpvJYriQdHjuT?Ty^JXepseQiW_e||Xi~]-9O>EGD${T9JD:+O#qKPHX}g2+s?"],
[false,"6~=|ok~=Y'K(k97z^:ja_/&}8<7M@M9ae6ZvzG]d(s,h%~-<2-3]~B/KKP';EQN&%D*Nv>2XNh+EOt5"],
[false,"6~>=2h+[lBY@Us:dVPbG404xw=vR/:C~{,+`>Hl^{[AT9=_F5O6wFGE7GSZ@>D{LK4wEwt?@w*g$vW~"],
[false,"8aL|61-vx>h8Gz<2mQz`<<?1+#-<5.3(0NoV'qf`lcxc+5UfXa)]^+n^Lhg:ekl#ZW/j(H43ISK75W8"],
[false,"sF#|*+DR(f$)bsg;(1e-Vvwv2RDQzhJ>|N?X+1|qzqeyTnc)s)USY~.ysHRPFg&,4YTifbht#(OacH?v&8@v2Kc,Y5{^+`Tf"],
[false,"sF#|*+DR(f$)bsg;(1mIJPxO:70C,$'[)w#NII^cM5PtHCZq#jkr()<;(C_Oo=1r2m;to)q>0kHv}0^*%(--4z91K[1@gOg7"],
[false,"sF#|*+DR(f$)bsg;(2)%|NF8=?%<TVAc^`OXRlDv,@;q70U-|Pt$EJ9:[??j]hu|w9^Faeht#SE714Z%(#HX<]L<g@b9~7VX"],
[false,"sF#|*+DR(f$)bsg;(2)(QtvvX.N;t8+5Na>eSe)Jw3%gd1lUOM99ggs?B(iClyd0KAiz%iGv=Pkv+M6uBS`/8fR9mhjsXgAI"],
[false,"PyI_QLLc./hA&zGpJfm_YILb'@|lOt^o78`NP.nG0nDx5dL9OfE:v4''yA]7|hA{yVmlff_{dP(7ZLfi(+i@E;`3DJ[>63~N]x6:$R<jw+"],
[false,"PyI_QLLc./hA&zGpJfm_YILb'@|pd*R=2j#.$/v3E6QCsYt:nizfz,Mz5-k6#b/<iE8('pd{?@Jg~;0nkMwzHLI0)hdsxCYG0$~wm7fx[T"],
[false,"PyI_QLLc./hA&zGpJfm_YILb'@|pd+?q,gO>oj1)63X~HsZv7Wj:}@}F{KGhBX~7>?Fq)oh*N-yRO{5D{EP^*-UdI{{<>=]~*9;$1|-h~p"],
[false,"HyL7ytZr2f6q$HV:gYwlR~)=qwh0?>;uGP;N5x<<9{aq1SC(Jr-'_LmPR;BXb-[0ELS;S7PhR,Ptzl<5pf<DY:rqJ@}>^-Ael1v56m.,[@VT9Ay"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK+:gy$WL5}$|`J0p@e$Z/?WG(F[ScVUm2zn>.;{O2@G7nX%sTzJ_I'rGQdAeGC[E)2fBx?ir1/lXgEN@"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK.-IRncJ_J:|8.6U[U|>9G:&o(fl.cU??K_d$?0'}&{Lh2l0@xZX`IPl&RgA)ZTus/Q0TlYo1-b;75o="],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK.-IRncJ_J:|8.6U[U|>9G:&o(fl.cU??K_d$?0'}&{q;VH1dE5kTA8ai>3IX<N6d'=iM)B7ofp-Nj$7"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK/mv%)#ga+uJv$;2[pQ}]*IWN?VT[HU}8uQ6^ClWKda@}/<7.z0Dv~GU3O+l#5i=5/-R23[Q{^v}V8+B"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK;r`Qpc/h+Bf-H{uq<b8)g,U+the;JzpM2.lTHF6eQSl=M}<pjNwUG@,](=xON'{BPxUa_W^N=C:vb]H"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK;r`Qpc/h+Bf-H{uq<b8)g,U+the;JzpM2.lTHF6eQS&P}g<=eRO*Mf_[j{XFG$S]-7s.ueAAe,C;yJI"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK;r`Qpc/h+Bf-H{uq<b8)g,Y&K<:*VyNy$p2C=U:(y[|C3M]$cn]jfP]TVB|_E)moy)#,K[kAFonr)^N"],
[false,"4R#o+t)b`NfWNSXA)ce(E^vkFXvoh^D-3BLK;r`Qpc/h+Bf-H{uq<b8)g,Y&K<:*VyNy$p2C=U:(y]Eo*']~Xrn^k<6S9K#;7$H3(YmWUeJg;`@ZC`@"],
[true,"1oaI?V&cfUz%wL~'S:2P2sqv(Y4#?)bi6?._jDV}:ZIi_V^"],
[true,"1oaI?V&cfUz%wL~'S:2P2sqv(Y#CY5'/*@HAXPK%Xb0<*c8"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<C}<-T2NdBTyqCSC.kK1gW1p$CD~.q;pi7B#d+QH*CRH{s4$?b=OP0fSj8.Tm'6KkdS>dbob3-MSX/V~I"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<C}<-T{(RI.&MIiu)j`Bb_0T#{#;8L)6TEy=z8apm|]IUOAP`5UqS1SxkBh9H}/Ms*ct]~[Zs3+,_BbJP"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<C}</|eD+N'=3r=Mz'^A}~kdJg7dO*<1WY1mw~qr:kgM53/o/pFd+d$@ave?&-GC3f:hW7?S`dEVP58#|"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<C}_K;8Ec5k%?%7*%lR]>c%ASx:Nrn]9Wr*a+Oi1Go#zYF^Ns~)Sx0fM-gMS#XTmPCBM?e6$%p}a`XGBk"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<D08GznBn~ws|OT7DkV])|=:<7P3'Yy;1,6^?z_L+C4%{o#nyiT_vRuO/4bh$><>$W1^7m7gWJW@(^|@;"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<D08GznBn~ws|OT7DkV])|=:<7P3'Yy;1,6^?z_L+C6VGZhDBTx/9?@Pbv^1fqI8uw@x_=^}N_1k`*]^z"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<D0E(s5zM9TcsL'DK$tj}m1Qvk^GQ5~EgPPF-&cPk?31/1b-*/v>cX8-(ksUeJ=`S#$uV,6$#'b:<aJM0"],
[false,"5x|'?=b'1s?Eztqe<WF^gvd%5:s,$`D;0nUU^<D0E*]cC+tL|rlh-=26A5m_@JPz,'G}iq]>Sk%5-zSj_Hp&A5f%bKQyc<['6e=7X#bQCc'(wl+'m+s?Fe"],
[false,"5x|+#gt*e8HQoHBTRd}xHzO2Q|>ge8gTAo-iZ>/C7)7Z1I9#Bpi5Z5rMpQ=>=Jv~3Bg#XBP}`=0_`(+O0;RGKNo8%7Q+4|Ryu3tVX=Aa*sS,FkMw1[ZuU;"],
[false,"5x|+#gt*e8HQoHBTRd}xHzO2Q|>ge8gTAo-iZ>/DTCc{ae@l1Qn?;frxWv[(XX)qL*ttB/[a26shu|^a&bjL4k/@U+meqx@($m'-Yn))YSw9{hsceyd.=3"],
[false,"5x|+#gt*e8HQoHBTRd}xHzO2Q|>ge8gTAo-iZ>/H2Rg#pIO1zg(YIws=(y3T?;9T<#3Xc]*uK&X7wzbltXw8Q_?zB%PoS+%IC92U<nb&x8O=DpKtln~'}M"],
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