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Quelle  cc_cocycles_2.tbl   Sprache: unbekannt

 
#############################################################################
##
#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$tj}m1Qvk^GQ5~EgPPF-&cPk?31/1b-*/v&gt;cX8-(ksUeJ=`S#$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;"],
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]
];
# end of cocycles

# ordered ids of basis vectors for individual factors
# the indices point to the above list of cocycles 
LOOPS_cc_bases[2] :=
[
# for factors of order 2
[
[1]
],
# for factors of order 4
[
[5,3,1],
[2,4]
],
# for factors of order 8
[
[7,10,14,3,17,6,1],
[9,2,12,4,16],
[10,15,18,5,1],
[2,1,13,8,20],
[2,19],
[11,5],
[2,21]
],
# for factors of order 16
[
[13,14,21,27,33,3,37,36,43,53,6,56,10,1],
[12,19,26,2,41,4,32,51,7,55],
[11,21,23,3,43,54,59,9,1],
[13,21,27,3,4,1,52,38,61],
[13,21,27,3,40,6,74,39,1],
[19,2,24,4,60],
[19,2,22,44,9],
[19,2,24,4,62],
[19,2,4,42],
[19,2,24,4],
[19,34,24,4,75,8,42],
[19,2,24,4,63],
[19,2,24,4,64],
[35,2,24,4,76,16,42],
[4,2,22,47,18],
[2,31,24,4,58,17,42],
[21,28,45,1],
[21,29,5,1],
[21,29,1,5],
[21,29,5,1],
[21,1,46,5],
[21,29,72,5,1],
[21,29,1,5,71],
[21,29,1,5,70],
[2,1,25,15,68],
[2,1,25,49],
[2,1,25,15,73],
[2,65],
[57,8,48],
[2,66],
[20,30],
[50,5],
[2,67],
[2,69]
],
# for factors of order 32
[
[27,30,31,41,49,59,76,3,99,96,101,100,123,138,150,7,165,166,164,172,214,13,217,22,1],
[26,29,40,48,58,2,99,95,121,137,4,170,10,74,149,212,17,216],
[27,28,41,49,54,3,99,93,123,133,7,172,215,255,21,1],
[27,30,41,49,59,3,99,96,123,138,7,10,1,213,167,258],
[27,30,41,49,59,3,99,96,123,138,7,169,13,302,168,1],
[27,30,41,49,59,3,98,123,138,7,172,13,1],
[27,30,41,49,59,3,97,1,121,137,4,170,10],
[27,30,41,49,59,3,99,96,123,138,7,1,10],
[27,30,41,49,59,3,99,96,123,14,7,172,1],
[27,30,41,49,59,3,99,96,123,138,7,10,1],
[27,30,41,49,59,3,1,95,121,137,4,170,10],
[27,30,41,49,59,3,13,93,123,133,7,172,1],
[27,30,41,49,59,3,10,94,123,134,7,172,1],
[27,30,41,49,59,3,99,96,123,138,7,10,1],
[27,30,41,49,59,3,14,92,123,132,7,172,1],
[27,30,41,49,59,3,16,91,123,130,7,172,1],
[27,30,41,49,59,3,99,96,123,138,7,13,1],
[27,30,41,49,59,3,99,96,123,138,7,13,1],
[27,30,41,49,59,3,99,96,123,138,7,10,1],
[27,30,41,49,59,3,99,96,123,7,172,13,256,1],
[27,30,41,49,59,3,99,96,123,138,7,13,303,1],
[26,40,48,2,121,4,57,135,10,257],
[26,40,48,2,121,4,53,131,174,21],
[26,40,48,2,121,4,57,135,10,259],
[26,40,48,2,121,4,57,10,171],
[26,40,48,2,121,4,57,135,10],
[25,40,45,2,121,159,57,135,10,304,19,171],
[26,40,48,2,121,4,57,135,10,261],
[26,40,48,2,121,4,57,135,10,262],
[26,40,48,2,121,4,135,10,171],
[26,40,48,2,121,4,57,135,10],
[26,40,48,2,117,160,4,57,135,10,314,107,171],
[26,40,48,2,10,4,53,131,189,110],
[26,40,48,2,121,4,57,135,10],
[26,40,48,2,57,4,135,10,171],
[26,40,48,2,121,4,57,135,10],
[26,40,48,2,4,148,57,135,10,251,109,171],
[26,40,48,2,60,4,135,10,171],
[26,40,48,2,121,4,57,135,10],
[26,40,48,2,115,4,57,135,10,239,108,171],
[26,40,48,2,121,4,57,135,10],
[26,40,90,2,121,163,4,57,135,10,305,171],
[26,40,48,2,121,4,57,135,10,263],
[26,40,10,2,121,4,53,131,171],
[26,40,48,2,121,4,57,135,10],
[26,40,48,2,119,162,4,57,135,10,315,171],
[26,40,48,2,10,4,53,131,171],
[25,41,45,3,123,141,187,1],
[25,41,45,3,123,142,12,1],
[25,41,45,3,123,142,1,12],
[25,41,45,3,123,142,12,1],
[25,41,45,3,123,1,188,12],
[25,41,45,3,123,12,187,1],
[25,41,45,3,123,142,297,12,1],
[25,41,45,3,123,142,1,12,296],
[25,41,45,3,123,142,1,12,294],
[24,41,44,78,123,142,151,188,223,23,12,1],
[25,41,45,3,123,142,12,1],
[25,41,45,3,123,142,12,1],
[25,41,45,3,123,188,12,1],
[25,41,45,3,123,12,187,1],
[25,41,45,3,123,142,299,12,1],
[25,41,45,3,123,142,12,1],
[25,41,45,3,116,142,154,188,252,111,12,1],
[25,41,45,3,123,142,295,12,1],
[25,41,45,3,123,142,12,1],
[25,41,3,87,123,142,155,188,237,61,12,1],
[25,41,45,3,123,142,12,1],
[25,41,45,3,123,142,12,1],
[25,41,45,3,123,142,298,12,1],
[25,12,45,3,123,141,187,1],
[25,41,45,3,123,12,187,1],
[25,2,42,1,121,142,209,153,75,12,37,227],
[25,41,45,3,123,188,12,1],
[25,41,45,3,123,1,188,12],
[25,41,45,3,123,12,187,1],
[25,41,3,89,123,142,157,188,238,67,12,1],
[25,41,2,1,121,142,211,156,88,12,66,236],
[25,41,45,3,1,142,210,158,120,12,112,245],
[27,41,49,3,4,1,136,103,267],
[27,41,49,3,4,1,136,191],
[27,41,49,3,4,1,136,103],
[27,41,49,3,4,1,136,103,300],
[27,41,49,3,4,1,136,103,271],
[27,41,49,3,4,1,136,103],
[27,41,49,3,4,1,103,191],
[27,41,49,3,4,1,136,103,301],
[27,41,49,3,4,1,136,191],
[27,41,49,3,4,1,103,191],
[27,9,42,3,118,1,161,136,103,306,39,191],
[27,41,49,3,113,7,196,1],
[27,41,49,3,114,7,104,1],
[27,41,49,3,114,7,104,1],
[27,41,49,3,114,7,104,1],
[27,41,49,3,114,7,1,102],
[27,41,49,3,114,7,104,1],
[27,41,49,3,7,201,104,1],
[27,41,49,3,1,4,200,102],
[27,41,49,3,102,7,197,1],
[27,41,49,3,114,7,104,1],
[27,41,49,3,114,7,102,1],
[27,41,49,3,7,201,104,1],
[27,41,49,3,4,1,200,102],
[27,41,49,3,105,7,196,1],
[27,41,49,3,106,7,197,1],
[27,41,49,3,114,7,104,1],
[27,41,49,3,114,7,1,102],
[27,41,49,3,114,7,104,1],
[27,41,49,3,114,7,102,1],
[27,41,49,3,114,7,1,102],
[27,41,4,3,114,1,204,140,102,152,81,232],
[40,2,46,4,264],
[40,2,43,219,19,190],
[40,2,46,4,265],
[40,2,4,190],
[40,2,46,4],
[40,85,46,4,220,18,190],
[40,2,46,4,269],
[40,2,43,222,20,190],
[40,2,46,4,270],
[86,2,46,4,224,36,190],
[4,2,43,226,38,190],
[2,73,46,4,228,37,190],
[8,2,43,231,39,190],
[40,2,43,122,143],
[40,2,43,205,12],
[40,2,124,62,12],
[40,2,12,122,145],
[40,2,43,207,12],
[40,2,43,12,184],
[40,82,43,124,221,18,12],
[40,2,43,12,175,240],
[83,2,43,124,225,36,12],
[12,2,43,122,144],
[40,2,43,206,12],
[40,2,124,68,12],
[40,2,12,122,146],
[40,2,43,208,12],
[40,2,43,12,185],
[2,73,43,124,228,37,12],
[40,2,43,12,178,243],
[40,2,46,4,266],
[40,2,46,4,268],
[40,2,4,192],
[40,2,46,4],
[40,85,46,4,220,18,192],
[40,2,46,4,272],
[40,2,46,4,273],
[86,2,46,4,224,36,192],
[2,73,46,4,228,37,192],
[8,2,43,229,39,192],
[40,77,4,253,18,122],
[40,2,4,240],
[40,2,4,241],
[79,2,4,254,36,122],
[4,2,80,127,38],
[40,2,4,244],
[2,73,4,228,37,122],
[40,2,4,243],
[40,85,46,4,220,18],
[86,2,46,4,224,36],
[4,2,43,233,38],
[2,73,46,4,228,37],
[40,69,46,4,202,122],
[40,71,46,4,177,11],
[40,71,46,4,11,122],
[40,71,46,4,11,122],
[40,71,46,4,125,11],
[40,71,46,4,11,122],
[40,63,11,4,202,139,122],
[40,71,46,4,177,11],
[40,71,46,4,11,122],
[40,71,46,4,122,11],
[40,71,46,4,11,122],
[40,64,15,4,202,147,122],
[40,71,46,4,177,11],
[40,71,46,4,11,122],
[40,46,4,202,11,122],
[40,71,46,4,176,11],
[40,11,46,4,202,122],
[40,71,46,4,177,11],
[40,71,46,4,11,122],
[40,71,46,4,122,11],
[40,71,46,4,11,122],
[40,71,46,4,125,11],
[40,4,43,202,11,122],
[40,71,46,4,176,11],
[40,15,46,4,202,122],
[40,71,46,4,177,11],
[40,71,46,4,11,122],
[40,71,46,4,122,11],
[40,71,46,4,11,290,122],
[40,71,46,4,125,11],
[71,84,46,4,202,11,254,36,122],
[4,70,43,202,11,127,38],
[40,71,46,4,11,292,122],
[40,2,46,4],
[40,2,46,4],
[40,2,46,4],
[40,2,46,4],
[86,2,46,4,224,36,193],
[8,2,43,230,39,194],
[40,2,46,4],
[40,2,46,4],
[40,2,46,4],
[40,2,46,4],
[40,2,46,4],
[2,73,46,4,228,37,195],
[72,2,46,4,181,33],
[72,2,46,4,33,122],
[72,2,46,4,33,122],
[54,2,33,4,203,122],
[72,2,46,4,181,33],
[72,2,46,4,33,122],
[55,2,35,4,203,122],
[72,2,46,4,181,33],
[2,56,46,4,179,122],
[2,56,46,4,180,34],
[2,56,46,4,34,122],
[2,56,46,4,122,34],
[2,56,46,4,34,293,122],
[2,56,46,4,126,34],
[2,56,46,4,179,122],
[2,56,46,4,180,34],
[2,56,46,4,34,122],
[2,56,46,4,122,34],
[2,56,46,4,34,122],
[2,56,46,4,126,34,288],
[2,56,34,4,179,122],
[2,56,46,4,180,34],
[2,56,46,4,34,122],
[2,56,46,4,122,34],
[2,56,46,4,34,122],
[2,56,46,4,126,34],
[2,46,4,180,34,122],
[2,56,46,4,180,34],
[2,56,46,4,34,122],
[2,56,46,4,122,34],
[2,4,43,180,34,122],
[2,56,46,4,180,34],
[2,46,4,180,34,122],
[2,56,46,4,180,34],
[2,52,34,4,179,122],
[2,56,46,4,180,34],
[2,56,46,4,122,34,291],
[2,56,46,4,34,260,122],
[2,56,46,4,126,34,289],
[41,50,1],
[41,50,1],
[41,50,248,1],
[41,50,1,249],
[41,50,247,1],
[41,50,1,246],
[41,1,5,312],
[41,5,1],
[41,1,5,308],
[41,1,5,313],
[41,1,5,309],
[41,5,310,1],
[41,6,1,311],
[41,6,1,307],
[41,51,284,5,1],
[41,51,1,5,283],
[41,51,1,5,280],
[41,51,1,5,281],
[41,51,1,5,282],
[2,1,47,32],
[2,1,47,199],
[2,1,47,32],
[2,1,32,234,199],
[2,1,47,32],
[2,1,32,235,199],
[2,1,47,183,250],
[2,1,47,242],
[2,1,47,32,285],
[2,1,47,32,286],
[2,274],
[218,18,198],
[2,275],
[173,65,128],
[173,11],
[129,11,287],
[2,279],
[2,278],
[186,5],
[5,182],
[2,276],
[2,277]
]
];
# end of bases

# coordinates (with respect to the above basis) for all loops
# all sets of coordinates for a given factor are packed into one string, 
# with entries separated by space
LOOPS_cc_coordinates[2] :=
[
# for factors of order 2
[
" 1"
],
# for factors of order 4
[
" 1 2 7",
"1 2 3"
],
# for factors of order 8
[
" 1 2 7 C % & * ~ 1a",
"1 2 3 4 5 8 9 B G I L O",
"2 4 5 6 9 A C D T",
"1 2 3 5",
"1 2 3",
"1 2",
"1 3"
],
# for factors of order 16
[
" 1 2 7 C % & * ~ 1a 1c 1d 1e 1i 1l 1m 1n 1p 1^ 2~ 3Z 48 Iq",
"1 2 3 4 5 G H J O P W Y b e f m u v 15 1A 1b 1c 1d 1e 4q 4s 5v 5w 5x 5y 5z 5#\
 5$ 5% 5} 60 63 65 66 67 68 69 73 74 75 76 7J 7M 7] 7^ AI AK B7",
"2 4 5 6 9 A C D T W a c e g i k m y # 15 19 1B 1H 1d 1l 1+ 1< 1= 1> 2g 2h 2x \
2/ 2: 2; 2= 2> 2? 2] 2^ 2` 2{ 30 3C 3F 3J 3L 3N 3P 3R 3T 3V 3h 3j 3> 3] 3_ 40 \
4K 4M 4U 4q 4r 4y 4z 4# 5P 5Q 5g",
"1 2 3 5 X Z a b 1d 1. 1_ 2/ 2: 2; 2< 2> 2? 2[ 2{ 3> 3? 3[ 4K 4M 4Q 5P 5X",
"2 4 6 C D E G H J M N O P Q R S T U V * . 1y 1( 2/ 2: 2? 2[ 2] 3m 3t 3z 3{ 3|\
 4L 52",
"1 2 3 4 5 8 9 A B G I K O Q",
"1 2 4 5 6 7 8 B G H I K L M N O R",
"1 3 4 5 8 9 B G K O Q",
"4 5 7 8 A B C D",
"4 8 9 C",
"2 3 4 6 7 C I J K L M Q R U W X Y Z a b c d e f g h i j k l % ' - @ ] 10 19 1\
B 1H 1J",
"1 3 5 D G Q",
"1 3 5 9 B O",
"3 6 C I J M Q R ' (",
"1 2 5 6",
"2 3 4 5 6 7 A B C D E F I J K L M N W X a b e f i j m n o p q r s t + >",
"2 3 4 5 6 7 E F",
"5 6 A D E",
"6 9 D E",
"6 7 F",
"9",
"4 5 6 C D T",
"1 3 5 9 B P R",
"1 3 B F",
"1 2 3 4 5 C H I J",
"2 3 6 9 A",
"1 3 5 D",
"1 2 3",
"2 3 4 5 6 7",
"1 3",
"1",
"2 3",
"1 3",
"1 3"
],
# for factors of order 32
[
" 1 2 7 C % & * ~ 1a 1c 1d 1e 1i 1l 1m 1n 1p 1^ 5. 6I 6[ 8e 8i 8; J% J, J- KD \
Zf ar as rg rh rq 11; 11< 11@ 12H 12I 12L 17g 17h 17k 17l 17o 17s 17] 17` 1I( \
1J8 1OW 1OZ 1k= 1k_ 1$) 1$. 1$< 1$? 53o 53p 53q 53v 53` 59H 59I 59J 59o 5bc 5m\
q 5mr 5sJ 5sO 5[e 5[h 5[; 9}; 9}< 9}[ 9~M 9~Z 9~b 9~d AiM Aib Aid Aik F`{",
"1 2 3 4 5 W X Z e f % ' * - . 15 1D 1E 2A 2F 2Q 2R 2/ 2: 2; 2< 2~ 30 9D 9F 9T\
 9U BN BO BP BQ BR BS BT BU Bd Be B{ B} C1 C3 C4 C5 C6 C7 CC CD E6 E7 E8 E9 EM\
 EN Ec Ef Es Et F: F; G0 G1 Ka Kc Kq Kr ME MU MV Mk Ml Mm Mn Mo Mp Mq Mr Mw Mx\
 My Mz M= M> M@ M{ M| M} M~ N0 N1 NJ NL NO NQ NR NT NW NY Np Nz N% OO OP OR Oi\
 Oj Ok Ou Oz O$ O- O< O> O| PI S; S= S} T0 T5 T7 TH TU Td Us U/ l: l; l= sE uO\
 uP uR uS uT u| v2 v5 v6 x7 x8 xA &b /I /X 14x 14z 165 1AP 1AQ 1AR 1AS 1AU 1AW\
 1AX 1AY 1B# 1B$ 1B& 1B( 1B* 1F[ 1F^ 1G0 1HS 3MZ 3Ma 3Mb 3Mc 3OD 3OE 3(a 3(d 4\
7V 47X 47Z 47b 47m 47q 4AE 4AG 4AV 4AZ 4Ah 4B] 4C9 4CL 4qW 4qa 4qc 4tF 4tl 56X\
 56Z 56f 576 578 57E 57+ 58h 59G 59I 5Ar 7O. 7O: 7Qp",
"2 4 5 6 9 A C D T W a c e g i k m y # 15 19 1B 1H 1d 1l 1+ 1< 1= 1> 2g 2h 2x \
2/ 2: 2; 2= 2> 2? 2] 2^ 2` 2{ 30 3C 3F 3J 3L 3N 3P 3R 3T 3V 3h 3j 3> 3] 3_ 40 \
4K 4M 4U 4q 4r 4y 4z 4# 5P 5Q 5g 5v 5w 5x 5z 5# 5$ 5' 5( 5* 5+ 5/ 5` 5} 5~ 62 \
63 64 68 6A 6B 6E 6Q 73 74 75 7B 7D 7J 7Z 7a 7j 7q B{ C0 C2 C8 Cy C) C+ DX Dn \
E6 EA EC EE EG EI EK EM EY Ea E+ E/ E; E[ E^ Fh Fp Fr GG GW IQ IR Ia Ih ZF Zl \
aq au aw a% a^ a| a~ b5 b} cU j1 j2 j3 j5 j6 j7 jA jB jD jE jI jU l: l; l< l> \
l? l@ l^ l_ l{ l| m1 mD ow oy o# o% o' o) o+ o- o/ o; o` o| o~ p3 p5 p7 p9 pD \
pF pT pV ph p$ p< z@ z[ z{ #0 #2 #3 #7 #J #` #{ $7 $8 /I /J /O 11; 11= 11` 12H\
 12P 12R 12@ 1D8 1D9 1DG 1DH 1DI 1De 1Dm 1Do 1D- 1D. 1ED 1Zs 1Zt 1Z, 1Z` 1aB 1\
ax 1je 1jf 1jg 1jn 1jo 1jv 1k< 1k= 1k> 1k` 1k{ 1l3 1mN 1mO 1mP 1mW 1mX 1me 1p6\
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 5rS 5rT 5ri 5ry 5r; 5r< 5s1 5s2",
"1 2 3 5 X Z a b 1d 1. 1_ 2/ 2: 2; 2< 2> 2? 2[ 2{ 3> 3? 3[ 4K 4M 4Q 5P 5X 5v 5\
w 5x 5y 5# 5$ 5% 5& 5+ 5@ 5} 5~ 61 63 64 66 6B 6D 6E 73 75 79 7B 7J 7Z 7f 7h 7\
x B{ B| B~ Cy C% DX E6 E7 E9 EA EB E+ E, E. E: Fh Fl GG IQ IW IY Io j2 j3 j4 j\
6 j9 l: l; l< l= l? l] ow ox oy oz o# o$ o% o& o' o. o~ p0 p2 p3 p5 p6 p7 pE p\
V pa p$ p+ z@ z^ z` z{ z} #3 #E #` $0 $3 $8 /I /L /Q 11; 11= 11[ 12@ 1D8 1DC 1\
DE 1D- 1D| 1ED 1je 1jg 1jm 1k< 1k> 1lA 1mN 1mP 1ml 1p6 1p8 1pC 1pc 1pg 1ps 1#T\
 1#Z 1#b 1/v 1/& 1/@",
"2 4 6 C D E G H J M N O P Q R S T U V * . 1y 1( 2/ 2: 2? 2[ 2] 3m 3t 3z 3{ 3|\
 4L 52 5v 5w 5x 5z 5# 5$ 5& 5' 5* 5+ 5, 5. 5/ 5: 5; 5< 5> 5? 5] 5^ 5_ 5} 5~ 66\
 67 73 74 75 7B 7C 7N 7P 7Q 7V 7Z 7a 7h 7i BR BT Bd Bf Bh Bj B{ C0 C2 Cy C? C[\
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 Mm Mo Mp Mq M# M$ M% M' M( M) N^ N_ OD OE PT PU PZ Pl Pn Po Q( Q{ SC SD SE SG\
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 =, =/ =; =[ >1 >2 @r @s @x ~4 ~I ~Q ~S 11; 12v 14x 14y 14z 14( 14) 14: 14; 14\
< 14= 14_ 14` 150 151 158 159 1Af 1Ag 1Ah 1Ai 1A} 1B6 1B7 1D8 1DG 1DH 1D- 1D. \
1D? 1F[ 1F] 1G0 1G9 1GA 1GN 1GO 1GW 1Lo 1L% 1L& 1L' 1L( 1MM 1MN 1Ms 1OV 1OW 1O\
n 1Oo 1O$ 1O% 1P5 1Pb 1RE 1RF 1RG 1RM 1RN 1RU 1RV 1RW 1RX 1Rc 1Rd 1Rk 1Rl 1Rs \
1Rt 1cb 1cc 1cj 1ck 1ct 1cu 1c$ 1c% 1c* 1c+ 1ny 1nz 1n) 1n* 1p7 1pF 1-F 1-G 1-\
N 1-O 1-l 1-m 1-t 1-u 1-? 1-{ 1-| 1.L 1.S 1.T 1.r 1.z 1._ 1/2 1/Y 1/' 1<? 1?t \
1?$ 1?% 1[2 23z 23# 23$ 23& 23( 23* 23+ 23. 23< 23= 23> 23? 23@ 23] 257 258 25\
9 25F 25G 25R 25T 2E^ 2E_ 2E| 2E} 2E~ 2F1 2F2 2F5 2F6 2F7 2F9 2FA 2FF 2FG 2FH \
2FI 2FN 2FO 2FP 2FQ 2FX 2FY 2GU 2Gd 2Gr 2Gy 2G$ 2G+ 2QG 2QH 2QI 2QK 2QL 2QM 2Q\
O 2QP 2QS 2QT 2QU 2QW 2QZ 2Qc 2Qd 2Qe 2Qk 2Ql 2Qm 2Qn 2Qv 2Rr 2R# 2R; 2R] 2R` \
2bd 2be 2bh 2bi 2bj 2bl 2bm 2br 2bt 2bu 2bv 2bx 2by 2bz 2b& 2b( 2b) 2c; 2c< 2c\
^ 2c_ 2d5 2d6 2d7 2dD 2dE 2x_ 2x` 2x} 2x~ 2y0 2y2 2y3 2y6 2y7 2y8 2yG 2yH 2yO \
2yP 2yQ 2yR 2yY 2yZ 2yx 2y( 2y~ 2z7 2,H 2,I 2,L 2,N 2,P 2,Q 2,V 2,d 2,e 2,j 2,\
l 2,m 2,@ 2,[ 2,{ 32$ 32% 32& 32, 32- 32> 32? 32@ 32[ 334 335 33C 33D 3D` 3D{ \
3E3 3E4 3EB 3EJ 3ES 3Ea 3PI 3PJ 3PK 3PQ 3PR 3PY 3PZ 3Pg 3Ph 3Po 3Pp 3Pw 3Px 3a\
f 3ag 3an 3ao 3av 3aw 3ax 3ay 3a( 3a) 3a. 3a/ 3a@ 3a[ 3w{ 3w| 3x4 3x5 3yX 3yg \
3+J 3+K 3+R 3+S 3+p 3+q 3+x 3+y 3+] 3+^ 3,1 3,O 3,P 3,W 3,u 3,& 3,} 3-5 3-U 3-\
z 3{8 3{9 3{A 3{C 3{D 3{E 3{G 3{H 3{M 3{P 3{Q 3{S 3{T 3{W 3{X 3{Y 3{a 3{b 3{c \
3{. 3{< 3{? 3{@ 3{` 3|k 3|s 3|' 3|/ 3}R 4Is 4It 4Iu 4Iw 4Iy 4I# 4I' 4I( 4I, 4K\
9 4T< 4T= 4T@ 4T] 4T_ 4T} 4U2 4U3 4U6 4VN 4VV 4VW 4Vh 4qW 4qa 4qc 4qe 4qk 4qs \
4q% 4q- 4`A 4`B 4`C 4`I 4`J 4`S 4`T 4`Y 4`a 4`b 4`[ 4`] 5Hu 5Hv 5Hw 5H% 5H. 5I\
U 5S> 5S? 5S{ 5T4 5T5 5Tq 5Ty 5Tz 5pY 5pZ 5pg 5p' 5p/ 5p: 5q8 5qG 5q? 5rD",
"% & ' * , 19 1r 1} 2A 2B 2C 2D 2F 2H 2l 2n 4S 4T 4z 9D 9F 9d B{ B| B} B~ C1 C\
3 C; C< C= C> DX DY DZ De Fp Ft Ka Kb Kc Kd Kf Kh Km Kn K# K$ L8 Mk Ml Mp Ms M\
w M+ M, M= M> M` M{ NB NC NG NJ NK NO Np Nq Nt N] N^ N{ N| O8 O9 OO OP Oe Of O\
--> --------------------

--> maximum size reached

--> --------------------

[ Dauer der Verarbeitung: 0.21 Sekunden  (vorverarbeitet)  ]

                                                                                                                                                                                                                                                                                                                                                                                                     


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