# gnuplot-dat-file index 0,1 see square.gpl # # s=1/2 Heisenberg model for the square lattice # finite size + periodic boundary conditions (PBC) # see also # http://deposit.ddb.de/cgi-bin/dokserv?idn=967430151 # http://diglib.uni-magdeburg.de/Dissertationen/2003/joeschulenburg.htm # http://www-e.uni-magdeburg.de/jschulen/diss/diss.pdf # # idealwert nicht erreicht, wenn kx,ky=Pi nicht moeglich (N=20) # deshalb sinusfoermige FS-Scaling? use twisted boundary conditions? # # Was ist mit Magnetisierung? # (n1,n2),(0,n4) # C2h = p2 = 2N # C4h = p4 = 4N a n1 + a n1^2/n2 = n4 # = cmm = (n1!=n2 && n2==n4/2) p2+cm # D2h = pmm = 4N (n1==n2 && n1!=n4/2) || (n2=0 && n1!=n4) p2+pm # D4h = p4m = 8N (n1==n2 && n1==n4/2) || (n2=0 && n1==n4) p4+pmm+cmm # use edgevec.c! # # 1D-Tori-Extrapolations: # (2,2,0,l) ll= 8 S=1-chain, golinelli94 PRB50,3037 E/N=-1.401484038971 # (1,3,0,l) ll=10 (j1=1)-(j3=1)-chain # (4,0,0,l) ll=16 # (3,3,0,l) ll=18 # (2,4,...) ll=20 # ... # # Oberflaeche? # bipartit XY square lattices #N l1 l2 e0 l1+l2 #16 2 4 0 8 -8.99191910 20+64 LM16 64 sym n=8 n1=177 ZiZj= .25 -0.044806 -0.005566 -0.006209 -0.006756 -0.006209 -0.005566 -0.044806 -0.005869 -0.006671 -0.045830 -0.006671 -0.005869 -0.006671 -0.045830 -0.006671 1s SiSj= 0.750000 -0.324297 0.231223 -0.242774 0.238522 -0.242774 0.231223 -0.324297 -0.240600 0.237581 -0.328334 0.237581 -0.240600 0.237581 -0.328334 0.237581 2s Zi= 0.000000 2s 2S=2.045 5e-02 ZMag=0.03125000 XYMag=0.26640266 SMag=0.29208133 E= -8.99191910 E/N= -0.56199494 #16 4 0 0 4 -8.99978158 16+16 LM16 384 sym n=5 n1=58 ZiZj= .25 -0.045585 -0.006633 -0.045585 -0.045585 -0.006633 -0.005855 -0.006633 -0.006633 -0.005855 -0.004438 -0.005855 -0.045585 -0.006633 -0.005855 -0.006633 2s SiSj= 0.750000 -0.326828 0.236789 -0.326828 -0.326828 0.236789 -0.239784 0.236789 0.236789 -0.239784 0.224465 -0.239784 -0.326828 0.236789 -0.239784 0.236789 2s Zi= 0.000000 2s 2S=2.040 4e-02 ZMag=0.03125000 XYMag=0.26563293 SMag=0.29135303 E= -8.99978158 E/N= -0.56248635 #16 1 3 0 16 -9.01869922 10+256 LM16 32 sym n=9 n1=257 ZiZj= .25 -0.047062 -0.007833 -0.045029 -0.006606 -0.005857 -0.005318 -0.005190 -0.004208 -0.005190 -0.005318 -0.005857 -0.006606 -0.045029 -0.007833 -0.047062 2s SiSj= 0.750000 -0.332147 0.243208 -0.323613 0.234650 -0.237247 0.226484 -0.232622 0.220515 -0.232622 0.226484 -0.237247 0.234650 -0.323613 0.243208 -0.332147 3s Zi= 0.000000 3s 2S=2.031 3e-02 ZMag=0.03125000 XYMag=0.26361914 SMag=0.28940354 E= -9.01869922 E/N= -0.56366870 #16 1 5 0 16 -9.01869922 26+256 LM16 32 sym n=9 n1=257 ZiZj= .25 -0.045029 -0.005318 -0.005190 -0.006606 -0.047062 -0.007833 -0.005857 -0.004208 -0.005857 -0.007833 -0.047062 -0.006606 -0.005190 -0.005318 -0.045029 2s SiSj= 0.750000 -0.323613 0.226484 -0.232622 0.234650 -0.332147 0.243208 -0.237247 0.220515 -0.237247 0.243208 -0.332147 0.234650 -0.232622 0.226484 -0.323613 3s Zi= 0.000000 3s 2S=2.031 3e-02 ZMag=0.03125000 XYMag=0.26361914 SMag=0.28940354 E= -9.01869922 E/N= -0.56366870 #16 2 2 0 8 -9.03777503 8+64 LM8 16 sym n=6 n1=474 ZiZj= .25 -0.046567 -0.006577 -0.005139 -0.004002 -0.005139 -0.006577 -0.046567 -0.008866 -0.046567 -0.006577 -0.005139 -0.004002 -0.005139 -0.006577 -0.046567 2s SiSj= 0.750000 -0.328998 0.232459 -0.229942 0.216489 -0.229942 0.232459 -0.328998 0.250000 -0.328998 0.232459 -0.229942 0.216489 -0.229942 0.232459 -0.328998 5s Zi= 0.000000 5s 2S=2.022 2e-02 ZMag=0.03125000 XYMag=0.26155801 SMag=0.28741087 E= -9.03777503 E/N= -0.56486094 #16 1 7 0 16 -9.03777503 50+64 LM8 16 sym n=6 n1=474 ZiZj= .25 -0.046567 -0.006577 -0.005139 -0.004002 -0.005139 -0.006577 -0.046567 -0.008866 -0.046567 -0.006577 -0.005139 -0.004002 -0.005139 -0.006577 -0.046567 2s SiSj= 0.750000 -0.328998 0.232459 -0.229942 0.216489 -0.229942 0.232459 -0.328998 0.250000 -0.328998 0.232459 -0.229942 0.216489 -0.229942 0.232459 -0.328998 6s Zi= 0.000000 6s 2S=2.022 2e-02 ZMag=0.03125000 XYMag=0.26155801 SMag=0.28741087 E= -9.03777503 E/N= -0.56486094 #16 2 0 0 8 -9.87650645 4+64 LM16 32 sym n=10 n1=289 ZiZj= .25 -0.037736 -0.002314 -0.001237 -0.000800 -0.001237 -0.002314 -0.037736 -0.152393 -0.002209 -0.003444 -0.001052 -0.000826 -0.001052 -0.003444 -0.002209 2s SiSj= 0.750000 -0.256294 0.136528 -0.111235 0.100937 -0.111235 0.136528 -0.256294 -0.551116 0.198951 -0.141809 0.108850 -0.102554 0.108850 -0.141809 0.198951 3s Zi= 0.000000 3s 2S=1.303 3e-01 ZMag=0.03125000 XYMag=0.18348992 SMag=0.21324633 E= -9.87650645 E/N= -0.61728165 #16 1 1 0 16 -10.25166179 2+256 LM16 32 sym n=9 n1=257 ZiZj= .25 -0.102633 -0.000000 -0.012656 -0.000000 -0.005650 -0.000000 -0.004061 -0.000000 -0.004061 -0.000000 -0.005650 -0.000000 -0.012656 -0.000000 -0.102633 2s SiSj= 0.750000 -0.422998 0.205267 -0.190360 0.153843 -0.149809 0.135084 -0.136549 0.129943 -0.136549 0.135084 -0.149809 0.153843 -0.190360 0.205267 -0.422998 3s Zi= 0.000000 3s 2S=1.326 3e-01 ZMag=0.03125000 XYMag=0.19798496 SMag=0.22923496 E=-10.25166179 E/N= -0.64072886 # # get the highest value lattice, try compare sz=(N-4)/2 # bad: non-bipartit, l>(1 1), l>(2 0), l!=(1,N/2) # XXZ # edgvectors Reihenfolge der Energien entspricht gut Ig 8 1 3 0 8 -6.00000000 -5.00000000 0.37500000 # ll= 8,10,10 cmm+ Ig0 D2h =2204 # 10 1 3 0 10 -7.30006806 -6.46410161 0.33804138 # ll=10,10,20 p4+ Ig1 C4h mcf=(3 1 -1 3) # 12 1 5 0 12 -8.61742318 -7.89679582 0.31088926 # ll= 8,18,26 pmm Ig3 D2h =2206 12 1 3 0 12 -8.60570985 -7.88468581 0.31192879 # ll=10,16,18 p2+ Ig2 C2h =3104 # 14 1 3 0 14 -9.92888720 -9.29462601 0.29133506 # ll=10,20,34 p2+ Ig2 C2h # 16 2 2 0 8 -11.33695608 -10.74340082 0.26746587 # ll= 8,32,40 pmm+ Ig8 D2h =17016 16 1 3 0 16 -11.27579792 -10.70408707 0.27344114 # ll=10,26,32 p2+ Ig3 C2h 16 4 0 0 4 -11.22848321 -10.64988487 0.27652714 # ll=16,16,32 p4m+ Ig3 D4h square 16 2 4 0 8 -11.19946588 -10.63022273 0.27897136 # ll=16,20,20 cmm Ig1 D2h?? # 18 1 3 0 18 -12.63017427 -12.10839397 0.25827861 # ll=10,34,36 p2 Ig6 C2h 18 3 3 0 6 -12.49174770 -11.98333968 0.26860313 # ll=18,18,36 p4m Ig2 D4h square 18 1 5 0 18 -12.49122901 -11.98275750 0.26864737 # ll=18,20,26 p2 Ig0 C2h # 20 2 2 0 10 -14.09412995 -13.56932200 0.23461725 # ll= 8,52,52 cmm Ig20 D2h?c112 LM10 =19020 20 1 3 0 20 -13.99089702 -13.50985602 0.24510558 # ll=10,40,50 p2 Ig11 C2h 20 1 5 0 20 -13.86674667 -13.38475900 0.25327842 # ll=16,26,34 p2 Ig3 C2h 20 2 4 0 10 -13.81615779 -13.34919222 0.25773068 # ll=20,20,40 p4 Ig3 C4h square e=4,-2,2,4 # 22 1 3 0 22 -15.35620858 -14.90909086 0.23350860 # ll=10,50,68 p2 Ig17 C2h 22 1 5 0 22 -15.14097515 -14.70881455 0.24861698 # ll=20,26,34 p2 Ig1 C2h # 24 1 11 0 24 -16.86955614 -16.38535967 0.20834599 # ll= 8,74,74 cmm Ig39 D2hc112 e=2,2,0,12 24 1 3 0 24 -16.72462418 -16.30639429 0.22321054 # ll=10,58,64 p2 Ig24 C2h 24 4 0 0 6 -16.55251379 -16.12850252 0.23332518 # ll=16,36,52 pmm Ig12 D2hc13 24 2 6 0 12 -16.55111923 -16.12743682 0.23342527 # ll=16,40,40 cmm Ig10 D2hc13 24 1 7 0 24 -16.47489427 -16.07228730 0.24011339 # ll=18,32,50 pmm Ig8 D2hc112 24 1 9 0 24 -16.47486890 -16.07225969 0.24011548 # ll=18,34,40 p2 Ig6 C2h 24 2 4 0 12 -16.46892542 -16.06599588 0.24058088 # ll=20,32,36 p2 Ig6 C2h 24 1 5 0 24 -16.46194090 -16.06046669 0.24127122 # ll=26,26,32 cmm Ig0 D2hc112 # n1=14e3 nzx=1..37(24.877,25.12) # 26 1 3 0 26 -18.09542957 -17.70215298 0.21398161 # ll=10,68, Ig32 C2h 0 13 26 1 7 0 26 -17.80294035 -17.42478935 0.23314674 # ll=20,34, Ig6 C2h 2nd highest i35=541s am:i35=363s 26 1 5 0 26 -17.7957557 -17.4191084 0.233899 # ll=26,26, Ig2 C4h highest # 28 1 13 0 28 -19.65513350 -19.19616815 0.18668527 # ll= 8,98, Ig66 D2h 07- e=2,2,0,14 28 1 3 0 28 -19.46806292 -19.09661143 0.20564990 # ll=10,80, Ig42 C2h 01- 3th highest 28 1 7 0 28 -19.25163273 -18.86862098 0.21684378 # ll=16,50, Ig17 C2h 01- am:i40=26m 28 2 4 0 14 -19.14053308 -18.78338601 0.22630753 # ll=20,40, Ig9 C3h 070- 2nd highest 28 1 5 0 28 -19.11675714 -18.76348119 0.22846958 # ll=26,34, Ig1 C2h highest # # nzx=3..(31.582,31.79)..51 SH=4m35s mpi=2 3m20s 30 3 5 0 10 -20.43562895 -20.10294076 0.22394716 # ll=34,34,36 Ig1 D2hc13 ch: i40=115m wf=mp8=11h ??? 0,0,5,x- mcf=3 5 -3 5 30 1 5 0 30 -20.45377794 -20.11900358 0.22246122 # ll=26,36, Ig5 C2h wf: i50=26m 0,15- 30 1 7 0 30 -20.48000877 -20.14113013 0.22005266 # ll=20,50, Ig11 C2h wf: i50=28m 0,1- 2cpus=2/5/12/ 30 3 3 0 10 -20.49412971 -20.15617530 0.21906618 # ll=18,52, Ig15 C2h 60sym wf: i50=27m 0,5,0- 30 1 11 0 30 -20.49413100 -20.15617670 0.21906608 # ll=18,50, Ig17 D2hc112 120sym wf: i50=17m 0,0,5- 30 1 3 0 30 -20.84212297 -20.48996354 0.19808030 # ll=10,90, Ig54 C2h 60sym wf: i70=31m 0,1,- # # sym??? 32 2 6 0 16 -21.76397307 -21.44913413 0.21926565 # ll=32,40 Ig2 D2hc112 challenge i45=236m 32 1 7 0 32 -21.76482452 -21.44996335 0.21919039 # ll=32,50 Ig2 C2h chall i40=6h 32 4 4 0 8 -21.76573422 -21.4507401 0.21910174 # ll=32,64 Ig6 D4h 32 1 5 0 32 -21.78630478 -21.46910671 0.21744546 # ll=26,40 Ig4 C2h voigt: i45=10h 64sym -2,16/32,-x 32 2 4 0 16 -21.82154042 -21.49863820 0.21425030 # ll=20,52,64 Ig14 C2h voigt i45=10h v1.7.4 080- 32 2 8 0 16 -21.96062210 -21.60749794 0.20269959 # ll=16,68,80 Ig28 D2hc13 voigt i50=6h 0082- 32 4 0 0 8 -21.96069688 -21.60756052 0.20269555 # ll=16,64 Ig31 D2hc13 voigt i45=6h 0042- 32 1 3 0 32 -22.21732411 -21.88236781 0.19116430 # ll=10,104, Ig67 C2h voigt i45=10h i55=12h 32 2 2 0 16 -22.44680728 -22.00401172 0.16850810 # ll= 8,128, Ig97 D2hc112 voigt=i50=57m wf=i40=870s LM2 !!! # 34 1 13 0 34 -23.09745020 -22.79798839 0.21467480 # ll=34,34 Ig3 C4h s4N k=-6,x/34,0/4 voigt-flt-v1.7.4 i40=26h 150MB-RAM hnz=307e6*5 34 1 5 0 34 -23.12214375 -22.82015013 0.21268440 # ll=26,50 Ig5 C2h s2N wf:i55=9+5h 0,1- all=8+6+8h 34 1 9 0 34 -23.16483618 -22.85600927 0.20883613 # ll=20,58 Ig17 C2h s2N flt wf:i50=8h 0,17- all=11+7h 34 1 3 0 34 -23.59344949 -23.27395033 0.18481414 # ll=10,116 Ig82 C2h s2N voigt flt 0,1- 7h/161h=51% # # => bcc/edgevec 7 36 3 5 0 12 -24.42883226 -24.143307 0.21071424 ll=36,37,45 s2N Ig2 C2h (i=43) k1=-1,6,-31,18,1,- wf:i40=80h ram=9e8/4e9 file=7e10, wf-v1.9-8cpus-ns=20m,lt=84m,sh=150m,i40=15h,zz=28h 36 2 6 0 18 -24.43188298 -24.14553557 0.21046702 ll=36,40,52 s2N Ig4 C2h 0,1,0- n1=63e6 wf-flt-1.7.10=82m/150m/10h/i50=41h ch191=66m/86m/5h/i45=70h 36 6 0 0 6 -24.43939739 -24.1518590 0.20983715 ll=36,36,72 s8N Ig10 D4h sp191:221m,241m,t=11h,i40=22h 36 1 5 0 36 -24.46101129 -24.17241931 0.20812209 ll=26,50,72 s2N Ig10 C2h n1=63e6 sp:i50=60h 2xXeon2GHz+100Mbit-NFS-Platte sh=2h37m i50=11h52m ev=21h29m Mar03 36 2 4 0 18 -24.50944370 -24.21310915 0.20377304 ll=20,36,68 s2N Ig24 C2h spinon sh=18h,i25=43h only erg 820MB e0=-24.50944370 -23.63369123 sp-i50=61h 820MB 36 1 11 0 36 -24.53020286 -24.23644562 0.20254717 ll=18,61,73 s2N Ig35 C2h spin only erg E1q00=-23.65127123 sp=i45/125h sven200a2=97%=123m/9h/129h/82i => SMag 36 3 3 0 12 -24.53020288 -24.23644571 0.20256654 ll=18,72,90 s4N Ig36 D2h wf-flt=19h/50i E1q00=-23.65127144 E1q01=-22.79256661 sp=SMag=65h 36 1 9 0 36 -24.67562064 -24.34513264 0.19035164 ll=16,82,90 s2N Ig44 C2h wf-v1.8.3-i50=23h/44h wf-1.9.0-flt-i50=18h (lesen nur 10% schneller) 36 1 3 0 36 -24.97033390 -24.66481489 0.17897370 ll=10,130,136 s2N Ig99+C2h th-flt=87h/i45 n1=6e7 p1500=28h/i55 ch:a2=40h+ sp192a2=80h 36 2 2 0 18 -25.24231197 -24.81009049 0.15308396 ll=8,40,41 s204N Ig133+D2h n1=618e3 Ig=133+ =1,17,0,36 fermi=65m/99m/83m/210m,7h/(i75+i50) n1=6e5 # 1 11 0 36 = 1 -11 3 3 = 3 3 -1 11 = 3 3 -4 8 = 3 3 -5 7 # 3 3 0 12 = 3 3 -6 6 # # edgevec-1.6 -m6 = 6 incl. (1,1)+(2,0) 38 1 7 0 38 -25.7607925 -25.4880015 0.20751801 ll=34,50, s2N C2h Ig2 l1=232e6 wf201a2flt:i72=87h+57h E2_3ZMag=0.37240729 mcf= 1 7 -5 3 38 1 5 0 38 -25.79944468 -25.52310784 0.20398235 ll=26,58 s2N C2h Ig12 sym_k=-2(38AB)(2AA) 62*2*HT.tina.o459 nzx=3..67(40.01) SH=10m i100=970m 38 1 9 0 38 -25.85514690 -25.56997742 0.19901905 ll=20,74,82 s2N C2h Ig30 sym_k=-2(38AB)(2AA) 64*2*HT.tina.o460 nzx=3..67(40.01) SH=10m i100=990m 38 1 3 0 38 -26.34784942 -26.05504747 0.17353562 ll=10,146 s2N C2h Ig116+ sym_k=-2(38AB)(2AA) 64*2*HT.tina.o461 # 1 9 0 38 = 2 4 -9 1 = 4 2 -5 7 # # inkreis/aussenkreis or 1/maxDist.ij (kleinster Ring dominiert SiSj und E) # untere Grenze E0 durch (a,b)(0,l) definierbar! z.B. 1 7 0 {[32,]38,40} # max. untere Grenze = ??? nur fuer (a,b) = kuerzester Ring? minPBClen? # vergl. 1D bevor Tori! # edgevec-1.6 = 15 (incl. 1,1 + 0,2 + 1,3 + (2*)2,2) 40 1 7 0 40 -27.08998813 -26.82892259 0.20404470 ll=40,50,50 s2N Ig=1 C2h n1=862e6 14GB-RAM Mar08-63*2tina-v2.32-flt o295 SH=54m i100=5800m=90h=4d hnzmax=71 hnz=42.02/n1 n1=862e6=12G, o418 64*4tina q010- SH=42m nzx=3..71(42.02) i100=4200..5000m(2h haenger) 40 2 6 0 20 -27.09485025 -26.833227 0.20361937 ll=40,40,80 s4N Ig=6 C4h n1=431e6 7.3-7.8GB-RAM ? # n1=430909650 wf190:5h/21h/21h i40=515h/1184h hnz=31% mcf= 2 6 -6 2, 63*2tina:SH=40m i100=56h 40 5 3 0 8 -27.09525036 -26.83381684 0.20357788 ll=34,50,64 s2N Ig=7 C2h n1=862e6 nzx=42.02 nzxmax=71 AH=32K 23*4ibio.SH=49m(v=93h).o9591 E(k=0,z=0)=-27.09525036,-26.31436313 E1=q0_1_0- SH=48m i100=4840m nzx=3..71(42.02) 40 1 11 0 40 -27.09838702 -26.83649687 0.20327892 ll=32,58, s4N Ig=7 D2h n1=431e6 62*4Tina SH=29m hnx=1..69(42.01) i100=2520m E1sym_k=001 #40 1 11 0 40 -27.09838697 8*4igetcl2 SH=263m i100=27200m startvec=4 #40 4 4 0 10 -27.09851294 Abbruch 0.20326704 ll=32,52,68 s2N Ig=9 C2h tina.o462 n1=862e6 nzx=1..71(42.01) ns=91m SH=41m i100=4040m #40 1 9 0 40 -27.09863490 -26.83672610 0.20325597 ll=32,74,82 Ig=11 D2h n1=431e6 nzx=42.03 kautz900*6 nsS=617m SH=2.78 i100=13.73 Jan09 #40 5 1 0 8 -27.14010628 -26.87471732 0.20000807 ll=26,64 Ig=19 C2h 900*6kautz ns=419m SH=4.27 i100=29.80 Jan09 #40 4 2 0 10 ll=20,80 Ig=39 C2h 900*3kautz ns=383m stopped! o209 #40 2 10 0 20 ll=16,104 Ig=67 D2h #40 4 0 0 10 ll=16,100 Ig=69 D2h #40 1 3 0 40 ll=10,200 Ig=132+ C2h 40 2 2 0 20 -28.04029172 -27.61508146 0.13989221 ll=8,400 sN*364 Ig=166+ D2h n1=4.7e6 172m sp=8h/i60 #40 1 19 0 40 ll=8,442 Ig=166+ D2h # ToDo: edgevec: output mcf + min.Seiten/Diagonallaengen # 42 3 7 0 14 -28.4343383 -28.18220902 0.19999551 ll=36 bi1 c13000 D2h i= 10 Ig 6 nb 4 4 4 8 4 3 6 6 2 n1=3.2e9 45GB sym_k= -5 7 -84 3 0 0 23*4ibio-cc.o9602 nzx=3..75(44.01) ns=6h SH=152m i100=15200m all0=280h ca.60GB v2.33+ long=64bit #42 3 5 0 14 ll=34 bi1 c11000 C2h i= 8 Ig 8 nb 4 4 4 8 4 4 6 3 2 2 n1=6.4e9 90GB #42 1 7 0 42 ll=36 bi1 c11000 C2h i= 29 Ig 10 nb 4 4 4 8 4 3 6 6 0 0 2 #42 1 5 0 42 ll=26 bi1 c11000 C2h i= 27 Ig 22 nb 4 4 4 8 4 2 4 4 2 3 2 #42 1 11 0 42 ll=20 bi1 c11000 C2h i= 33 Ig 48 nb 4 4 4 7 2 2 4 4 2 2 2 2 2 #42 3 3 0 14 ll=18 bi1 c11000 C2h i= 6 Ig 63 nb 4 4 4 6 2 2 4 4 0 2 2 4 3 #42 1 13 0 42 ll=18 bi1 c11200 D2h i= 35 Ig 65 nb 4 4 4 6 2 2 4 4 0 2 2 4 2 0 1 # #44 2 6 0 22 # Ig= 5 s2N C2h (44^.5=6.633) n1=24e9 335GB #44 1 7 0 44 - 8 bi1 c11000 C2h i= 26 Ig 7 nb 4 4 4 8 4 4 7 6 0 0 2 s2N #44 1 13 0 44 - 10 bi1 c11000 C2h i= 32 Ig 12 nb 4 4 4 8 4 4 6 4 2 2 0 1 #44 1 5 0 44 - 7 bi1 c11000 C2h i= 24 Ig 28 nb 4 4 4 8 4 2 4 4 2 4 2 1 #44 2 4 0 22 - 3 bi2 c11000 C2h i= 11 Ig 59 nb 4 4 4 7 2 2 4 4 2 2 2 2 3 1 #44 1 11 0 44 - 9 bi1 c11000 C2h i= 30 Ig 93 nb 4 4 3 6 2 2 4 2 2 4 0 2 2 4 2 #44 ... 44 2 2 0 22 -30.83989887 -30.41938393 0.12853699 # sN*648 n1=37e6 -29.81963111 13h/20h/14h/i70/40h 700MB # s1 => GAP??? # #46 1 7 0 46 # Ig= 1 s2N C2h n1=90e9 1.25TB #46 1 17 0 46 - 6 bi1 c11000 C2h i= 30 Ig 15 nb 4 4 4 8 4 4 6 4 2 3 2 #46 ... # #48 4 6 0 12 # Ig= 4 s4N D2h n1=168e9 2.4TB #48 1 7 0 48 - 18 bi1 c11200 D2h i= 40 Ig 6 #48 3 7 0 16 - 10 bi1 c11000 C2h i= 18 Ig 12 nb 4 4 4 8 4 4 7 6 2 2 0 2 #48 6 2 0 8 # Ig=14 s2N C2h # ... # #50 1 19 0 50 - 9 bi1 c11000 C2h i= 39 Ig 4 nb 4 4 4 8 4 4 8 6 4 3 #50 1 9 0 50 - 7 bi1 c11000 C2h i= 29 Ig 6 nb 4 4 4 8 4 4 8 5 4 4 #50 1 7 0 50 - 6 bi1 c11020 C4h i= 27 Ig 11 nb 4 4 4 8 4 4 8 8 0 0 4 0 1 #next full sym #50 5 5 0 10 # Ig=11 s8N D4h (l1=316e9)*(2flt+7)=4.74TB (hnz=50*n1=15e12)*8=120TB # #64 4 8 0 16 # Ig=9 s4N D2h 16.37629782 #64 1 19 0 64 - 19 bi1 c11000 C2h i= 47 Ig 10 nb 4 4 4 8 4 4 8 8 4 6 2 4 2 1 #64 2 8 0 32 - 10 bi2 c11000 C2h i= 19 Ig 12 nb 4 4 4 8 4 4 8 8 3 5 4 4 3 #64 4 6 0 16 - 5 bi2 c11000 C2h i= 8 Ig 19 nb 4 4 4 8 4 4 8 7 4 6 2 3 2 2 1 #64 8 0 0 8 # Ig=22 s8N D4h 16.37564102 #... #64 2 2 0 32 # sym=N*... ??? #i1 only squared (C4h,D4h) # k=0,0 (pi,pi) k=pi,pi (0,0) k=0,pi #N l1 l2 e0=e0(S=0) e1=e0(S=1) SMag e1(S=1) e1(S=0) 8 2 2 0 4 -6.00000000 -5.00000000 0.37500000 10 1 3 0 10 -7.30006806 -6.46410161 0.33804138 # e1(S=1) -4.500000 y=0-1-2-3-4-5-6-7-8-9 x=y^7 16 4 0 0 4 -11.22848321 -10.64988487 0.27652714 -8.88644241 -8.2528269 18 3 3 0 6 -12.49174770 -11.98333968 0.26860313 -10.1538457 -9.4548641 # kein 0,pi 20 2 4 0 10 -13.81615779 -13.34919222 0.25773068 -11.5987492 -10.9555247 26 1 5 0 26 -17.7957557 -17.4191084 0.233899 -15.8300734 -15.0131816 # kein 0,pi 32 4 4 0 8 -21.76573422 -21.4507401 0.219102 -19.9259574 -19.1680041 36 6 0 0 6 -24.4393973 -24.1518590 0.20983715 -22.7359454 -21.901711 # ... -21.3820551 40 2 6 0 20 -27.09485025 -26.83320 0.20361937 #50 5 5 0 10 #i2 only highest E0 #16 2 4 0 8 -11.19946588 -10.63022273 0.27897136 # Ig=1 18 1 5 0 18 -12.49122901 -11.98275750 0.26864737 20 2 4 0 10 -13.81615779 -13.34919222 0.25773068 22 1 5 0 22 -15.14097515 -14.70881455 0.24861698 24 1 5 0 24 -16.46194090 -16.06046669 0.24127122 26 1 5 0 26 -17.7957557 -17.4191084 0.233899 28 1 5 0 28 -19.11675714 -18.76348119 0.22846958 30 3 5 0 10 -20.43562895 -20.10294076 0.22394716 32 2 6 0 16 -21.76397307 -21.44913413 0.21926565 34 1 13 0 34 -23.09745020 -22.79798839 0.21467480 36 3 5 0 12 -24.42883226 -24.143307 0.21071424 # ll=36,37,45 # until here Okt2004 38 1 7 0 38 -25.7607925 -25.4880015 0.20751801 40 1 7 0 40 -27.08998813 -26.82892259 0.20404470 #i3 (1,3) lower mag goes to 0 ??? 8 1 3 0 8 -6.00000000 -5.00000000 0.37500000 #0LM 10 1 3 0 10 -7.30006806 -6.46410161 0.33804138 12 1 3 0 12 -8.60570985 -7.88468581 0.31192879 # 3 1 0 4 14 1 3 0 14 -9.92888720 -9.29462601 0.29133506 16 1 3 0 16 -11.27579792 -10.70408707 0.27344114 18 1 3 0 18 -12.63017427 -12.10839397 0.25827861 20 1 3 0 20 -13.99089702 -13.50985602 0.24510558 22 1 3 0 22 -15.35620858 -14.90909086 0.23350860 24 1 3 0 24 -16.72462418 -16.30639429 0.22321054 26 1 3 0 26 -18.09542957 -17.70215298 0.21398161 # 0 13 28 1 3 0 28 -19.46806292 -19.09661143 0.20564990 # 01- 3th highest 30 1 3 0 30 -20.84212297 -20.48996354 0.19808030 # 60sym wf: i70=31m 0,1,- 32 1 3 0 32 -22.21732411 -21.88236781 0.19116430 # voigt i45=10h i55=12h 34 1 3 0 34 -23.59344949 -23.27395033 0.18481414 36 1 3 0 36 -24.97033390 -24.66481489 0.17897370 # Mar08: 38 1 3 0 38 -26.34784942 -26.05504747 0.17353562 ll=10,146 #i4 (2,2),(0,l) 8 2 2 0 4 -6.00000000 -5.00000000 0.37500000 12 2 2 0 6 -8.61742318 -7.89679582 0.31088926 16 2 2 0 8 -11.33695608 -10.74340082 0.26746587 20 2 2 0 10 -14.09412995 -13.56932200 0.23461725 LM10 24 2 2 0 12 -16.86955614 -16.38535967 0.20834599 28 2 2 0 14 -19.65513350 -19.19616815 0.18668527 32 2 2 0 16 -22.44680728 -22.00401172 0.16850810 # voigt=i50=57m wf=i40=870s LM2 !!! 36 2 2 0 18 -25.24231197 -24.81009049 0.15308396 # ll= 8, LM2 40 2 2 0 20 -28.04029172 -27.61508146 0.13989221 44 2 2 0 22 -30.83989887 -30.41938393 0.12853699 #i5 odd mindist=4, sym_k=? N=33,27,21,13? filter (1,3),(1,4),(1,5),(1,7) 9 1 3 0 9 -5.11077047 -3.77108523 ll=9,10 #11 1 2 0 11 -5.25743573 -4.26472038 ll=5,20 = 1,5,0,11 11 1 3 0 11 -6.73578086 -5.51346806 ll=10,13 = 1,4,0,11 #13 1 2 0 13 -6.09312005 -5.30495703 ll=5,34 = 1,6,0,13 zizj=3*sisj 13 1 3 0 13 -8.27618269 -7.16142297 ll=10,17 = 1,4,0,13 13 1 5 0 13 -7.12061243 -6.16871606 ll=13,26 # lowestGAP 15 1 3 0 15 -9.77334800 -8.74991258 ll=10,25 =3,1,0,5 15 1 4 0 15 -9.01779682 -8.09225234 ll=17,18 15 3 2 0 5 -9.01675977 -8.08985527 ll=9,13 =1,6,0,15 15 1 5 0 15 -8.53335231 -7.63967322 ll=9,26 #15 3 0 0 5 -7.92684782 -7.25485082 ll=9,25 #15 1 2 0 15 -7.16445497 -6.40364147 ll=5,30 =1,7,0,15 17 1 3 0 17 -11.24110785 -10.29577806 ll=10,34 k!=0 k0=-1,4/17,-999, k1=-1,5/17 =1,6,0,17 17 1 5 0 17 -10.14988755 -9.28700634 ll=13,26 =1,7,0,17 17 1 4 0 17 -9.65649661 -8.84043675 ll=17 k=-5,3(5)/17 k1=-5,2,xxx #17 1 8 0 17 -8.11089574 -7.41651010 ll=5 =1,2,0,17 19 1 3 0 19 -12.68886764 -11.81076956 ll=10 =1,6,0,19 19 1 5 0 19 -11.64248803 -10.83630888 ll=17 =1,4,0,19 # Ig0 19 1 7 0 19 -11.17040463 -10.39141319 ll=13 =1,8,0,19 # Ig2 #19 1 2 0 19 -9.08136679 -8.45531043 ll=5 21 1 3 0 21 -14.12284758 -13.30274198 ll=10 # Ig14 21 1 5 0 21 -13.10727453 -12.34941597 ll=17,26 =1,4,0,21 Ig2 21 1 7 0 21 -11.95318987 -11.26845382 ll=9 # Ig18 # lowestGAP 21 1 9 0 21 -12.65053811 -11.92059666 ll=13 # Ig6 21 1 6 0 21 -13.48190906 -12.70947002 ll=18 # Ig4 21 1 8 0 21 -13.48193371 -12.70953437 ll=18 # Ig2 # dbl Ig10 besser als Ig0 ??? not on XY!!! 23 1 3 0 23 -15.54679379 -14.77716078 ll=10 # Ig20 46sym -2,6/23,-1000, k1=5 23 1 4 0 23 -14.14501928 -13.45493469 ll=17 # Ig4 k0=-1,7/23 k1=2 23 1 5 0 23 -14.57733170 -13.85741402 ll=25,26 # Ig0 23 1 7 0 23 -13.64299032 -12.95050515 ll=13 # Ig10 k0=-1,6/23 k1=5 #23 1 6 0 23 # Ig4 k0=-2,5/23 k1=8 all=183m = 1 4 0 23 #23 1 8 0 23 # Ig20 k0=-1,5/23 k1=8 = 1 3 0 23 #23 1 9 0 23 # Ig0 k0=-1,7/23 k1=2 = 1 5 0 23 #23 1 10 0 23 # Ig10 = 1 7 0 23 # 25 1 4 0 25 -15.00588722 -14.34973855 ll=17 # Ig8 = 1 6 0 25 25 5 0 0 5 -15.03577044 -14.38286843 ll=25 # Ig0 k0=-7,1/5,-30,1/5=11=14 k1=22 25 1 7 0 25 -15.19586863 -14.52989854 ll=25 # Ig4 k0=-5, 25 1 10 0 25 -15.62723095 -14.96881735 ll=29 # Ig0 k0=-2,7 k1=4 = 5 2 0 5 nm=5h 25 1 5 0 25 -16.00685701 -15.32743675 ll=26 # Ig0 k0=-1,6 k1=7 = 5 1 0 5 25 1 3 0 25 -16.96328132 -16.23792476 ll=10 # Ig28 k0=-1,6 k1=7 all=12h/12 = 1 8 0 25 25 1 9 0 25 -14.95351933 -14.30801720 ll=13 # Ig16 k0=-2,5 k1=10 = 1 11 0 25 # #27 1 3 0 27 ll=10 # Ig36 = 3 1 0 9 27 3 3 0 9 -17.75437022 -17.09806086 ll=18 # Ig10 k0=-3,2 k1=3 E1 not sure 27 1 8 0 27 -17.75436920 -17.09805887 ll=18 # Ig10 k0=-2,6 k1=9 E1 not sure! 27 1 5 0 27 -17.43599903 -16.78899377 ll=26 # Ig2 k0=-1,7 k1=6 E1 not sure! 27 1 6 0 27 -17.07957462 -16.44969070 ll=25 # Ig2 k0=-1,8 k1=3 27 1 4 0 27 -16.56685087 -15.94635280 ll=17 # Ig10 k0=-1,4 k1=12 = 1 7 0 27 27 1 12 0 27 -16.21971200 -15.61364296 ll=15 # Ig20 k0=-1,5 k1=6 = 3 2 0 9 27 1 9 0 27 -15.37369629 -14.81058840 ll=9 # Ig44 k0=-1,7 k1=6 = 3 0 1 9 # 29 1 5 0 29 -18.85051517 -18.23424356 ll=26 # Ig2 k0=-1,7 k1=8 29 1 8 0 29 -18.51027570 -17.90972519 ll=25 # Ig4 k0=-1,8 k1=5 = 1 11 0 29 29 1 4 0 29 -17.99815704 -17.40881549 ll=17 # Ig14 k0=-1,9 k1=2 = 1 7 0 29 29 1 12 0 29 -17.82125325 -17.23933422 ll=29 # Ig4 k0=-5,8=9? k1=10=4 #29 1 9 0 29 ll=13 # Ig28 = 1 13 0 29 #29 1 3 0 29 ll=10 # Ig48 = 1 10 0 29 #31 1 4 0 31 0 -17.22839319 ll=17 # k=00 #33 ToDo lowest gap #i6 even nonbipartit 14 1 4 0 14 -8.42748379 -7.72834573 0.20850671 # = 2,3,0,7 14 1 6 0 14 -9.57219835 -8.71539041 0.22409271 16 4 1 0 4 -10.41230532 -9.62907467 0.19973209 = 1,4,0,16 16 1 6 0 16 -9.95908399 -9.28651059 0.19973546 18 1 4 0 18 -11.44754371 -10.81285486 0.19460993 18 1 6 0 18 -10.25602874 -9.72765808 0.17583751