#----------------------------------------------------------------------------- # Coefficients of the HTSE # for the dimerised and frustrated S=11/2 chain #----------------------------------------------------------------------------- # (Phys. Rev. B, Vol. 64, 024428 (2001)) # # # Alexander Buehler, Ute Loew and Goetz S. Uhrig # # University of Cologne # Institute for Theoretical Physics # February 2001 # # # # Maple version # --------------- # # Read this file in Maple with: read"filename"; # # # # # # DIMERISED AND FRUSTRATED S=1/2 CHAIN # # Coefficients for the T*susceptibility: # (n,l,r) == (beta*J)^n*delta^l*alpha^r for n from 0 to 10 do for l from 0 to n do for r from 0 to n do cchi[n][l][r] := 0: od: od: od: cchi[0][0][0]:= 1/4: cchi[1][0][0]:= -1/8: cchi[1][0][1]:= -1/8: cchi[2][0][1]:= 1/8: cchi[2][2][0]:= -1/16: cchi[3][0][0]:= 1/96: cchi[3][0][1]:= 1/128: cchi[3][0][2]:= -1/32: cchi[3][0][3]:= 1/96: cchi[3][2][1]:= 3/128: cchi[4][0][0]:= 5/1536: cchi[4][0][1]:= -23/768: cchi[4][0][2]:= 1/512: cchi[4][0][3]:= -1/96: cchi[4][0][4]:= 5/1536: cchi[4][2][0]:= 7/768: cchi[4][2][1]:= -3/256: cchi[4][2][2]:= 7/512: cchi[4][4][0]:= 7/512: cchi[5][0][0]:= -7/5120: cchi[5][0][1]:= -49/6144: cchi[5][0][2]:= 37/1536: cchi[5][0][3]:= -1/128: cchi[5][0][4]:= 1/512: cchi[5][0][5]:= -7/5120: cchi[5][2][0]:= 1/1536: cchi[5][2][1]:= -67/3072: cchi[5][2][2]:= 1/512: cchi[5][2][3]:= -1/384: cchi[5][4][0]:= 23/3072: cchi[5][4][1]:= 7/6144: cchi[6][0][0]:= -133/122880: cchi[6][0][1]:= 9/1280: cchi[6][0][2]:= 221/61440: cchi[6][0][3]:= -163/92160: cchi[6][0][4]:= 7/15360: cchi[6][0][5]:= 23/7680: cchi[6][0][6]:= -133/122880: cchi[6][2][0]:= -83/40960: cchi[6][2][1]:= 1/1536: cchi[6][2][2]:= 49/30720: cchi[6][2][3]:= 97/30720: cchi[6][2][4]:= -13/2560: cchi[6][4][0]:= -21/40960: cchi[6][4][1]:= 3/2560: cchi[6][4][2]:= -117/20480: cchi[6][6][0]:= -1129/368640: cchi[7][0][0]:= 1/16128: cchi[7][0][1]:= 5863/1474560: cchi[7][0][2]:= -805/73728: cchi[7][0][3]:= 3023/737280: cchi[7][0][4]:= -381/81920: cchi[7][0][5]:= 943/368640: cchi[7][0][6]:= 67/368640: cchi[7][0][7]:= 1/16128: cchi[7][2][0]:= -59/92160: cchi[7][2][1]:= 4289/491520: cchi[7][2][2]:= -131/36864: cchi[7][2][3]:= 1009/122880: cchi[7][2][4]:= 113/147456: cchi[7][2][5]:= -199/368640: cchi[7][4][0]:= -11/9216: cchi[7][4][1]:= 571/98304: cchi[7][4][2]:= -857/368640: cchi[7][4][3]:= -583/245760: cchi[7][6][0]:= -307/92160: cchi[7][6][1]:= -3167/1474560: cchi[8][0][0]:= 1269/4587520: cchi[8][0][1]:= -23629/20643840: cchi[8][0][2]:= -58651/13762560: cchi[8][0][3]:= 28751/5160960: cchi[8][0][4]:= -59/20160: cchi[8][0][5]:= -877/1290240: cchi[8][0][6]:= 5389/20643840: cchi[8][0][7]:= -1271/1720320: cchi[8][0][8]:= 1269/4587520: cchi[8][2][0]:= 89/229376: cchi[8][2][1]:= 36983/20643840: cchi[8][2][2]:= -4203/655360: cchi[8][2][3]:= 479/1290240: cchi[8][2][4]:= 5119/2580480: cchi[8][2][5]:= -61/64512: cchi[8][2][6]:= 6095/4128768: cchi[8][4][0]:= 1507/20643840: cchi[8][4][1]:= 76009/20643840: cchi[8][4][2]:= 1061/393216: cchi[8][4][3]:= -3947/5160960: cchi[8][4][4]:= 29/15360: cchi[8][6][0]:= -10831/10321920: cchi[8][6][1]:= -1927/983040: cchi[8][6][2]:= 33017/41287680: cchi[8][8][0]:= 9623/13762560: cchi[9][0][0]:= 3737/74317824: cchi[9][0][1]:= -34337/23592960: cchi[9][0][2]:= 14125/4128768: cchi[9][0][3]:= -1249/35389440: cchi[9][0][4]:= 317/229376: cchi[9][0][5]:= -969/655360: cchi[9][0][6]:= 93463/61931520: cchi[9][0][7]:= -67097/82575360: cchi[9][0][8]:= -361/1720320: cchi[9][0][9]:= 3737/74317824: cchi[9][2][0]:= 979/3440640: cchi[9][2][1]:= -3899/1474560: cchi[9][2][2]:= 79/458752: cchi[9][2][3]:= -29209/9175040: cchi[9][2][4]:= 4099/2949120: cchi[9][2][5]:= -1387/430080: cchi[9][2][6]:= -13529/20643840: cchi[9][2][7]:= 5233/9175040: cchi[9][4][0]:= 481/1376256: cchi[9][4][1]:= -2423/1835008: cchi[9][4][2]:= 699/458752: cchi[9][4][3]:= -74989/27525120: cchi[9][4][4]:= 12337/20643840: cchi[9][4][5]:= 69103/41287680: cchi[9][6][0]:= 263/1474560: cchi[9][6][1]:= -12323/6881280: cchi[9][6][2]:= 22877/20643840: cchi[9][6][3]:= 138421/82575360: cchi[9][8][0]:= 15607/13762560: cchi[9][8][1]:= 158933/165150720: cchi[10][0][0]:= -339691/5945425920: cchi[10][0][1]:= -22843/1486356480: cchi[10][0][2]:= 15205963/5945425920: cchi[10][0][3]:= -311903/82575360: cchi[10][0][4]:= 9659/3932160: cchi[10][0][5]:= -1177787/825753600: cchi[10][0][6]:= 599639/594542592: cchi[10][0][7]:= 791221/1486356480: cchi[10][0][8]:= -367481/1486356480: cchi[10][0][9]:= 22433/148635648: cchi[10][0][10]:= -339691/5945425920: cchi[10][2][0]:= -215221/5945425920: cchi[10][2][1]:= -322247/247726080: cchi[10][2][2]:= 515117/123863040: cchi[10][2][3]:= -1295087/743178240: cchi[10][2][4]:= 3402433/1486356480: cchi[10][2][5]:= 52919/106168320: cchi[10][2][6]:= -370969/212336640: cchi[10][2][7]:= 14941/99090432: cchi[10][2][8]:= -31027/99090432: cchi[10][4][0]:= 195049/2972712960: cchi[10][4][1]:= -15173/7741440: cchi[10][4][2]:= 2661047/2972712960: cchi[10][4][3]:= -1311053/743178240: cchi[10][4][4]:= -128473/41287680: cchi[10][4][5]:= 153863/495452160: cchi[10][4][6]:= -816989/2972712960: cchi[10][6][0]:= 145961/990904320: cchi[10][6][1]:= -14683/9175040: cchi[10][6][2]:= -33937/27525120: cchi[10][6][3]:= 943507/743178240: cchi[10][6][4]:= 102007/495452160: cchi[10][8][0]:= 1374211/1981808640: cchi[10][8][1]:= 97039/70778880: cchi[10][8][2]:= 1754671/5945425920: cchi[10][10][0]:= -4776949/29727129600: Tchi:=0: for n from 0 to 10 do for l from 0 to n do for r from 0 to n do if cchi[n][l][r] <> 0 then Tchi:=Tchi+cchi[n][l][r]*beta^n*delta^l*alpha^r: fi: od: od: od: Tchi:=collect(Tchi,[beta,delta,alpha]); # Coefficients for the specific heat: # (n,l,r) == (beta*J)^n*delta^l*alpha^r for n from 0 to 10 do for l from 0 to n do for r from 0 to n do cheat[n][l][r] := 0: od: od: od: cheat[2][0][0]:= 3/16: cheat[2][0][2]:= 3/16: cheat[2][2][0]:= 3/16: cheat[3][0][0]:= 3/32: cheat[3][0][1]:= -9/32: cheat[3][0][3]:= 3/32: cheat[3][2][0]:= 9/32: cheat[3][2][1]:= 9/32: cheat[4][0][0]:= -15/256: cheat[4][0][1]:= -3/32: cheat[4][0][2]:= -3/32: cheat[4][0][4]:= -15/256: cheat[4][2][0]:= 3/128: cheat[4][2][1]:= 3/32: cheat[4][4][0]:= -15/256: cheat[5][0][0]:= -15/256: cheat[5][0][1]:= 25/128: cheat[5][0][2]:= -5/128: cheat[5][0][3]:= 15/128: cheat[5][0][5]:= -15/256: cheat[5][2][0]:= -15/128: cheat[5][2][2]:= -15/128: cheat[5][2][3]:= -25/128: cheat[5][4][0]:= -35/256: cheat[5][4][1]:= -25/128: cheat[6][0][0]:= 21/4096: cheat[6][0][1]:= 63/512: cheat[6][0][2]:= -363/4096: cheat[6][0][3]:= 17/512: cheat[6][0][4]:= 105/1024: cheat[6][0][6]:= 21/4096: cheat[6][2][0]:= -177/4096: cheat[6][2][1]:= 15/128: cheat[6][2][2]:= 303/2048: cheat[6][2][3]:= -45/512: cheat[6][2][4]:= -69/1024: cheat[6][4][0]:= -333/4096: cheat[6][4][1]:= -123/512: cheat[6][4][2]:= -579/4096: cheat[6][6][0]:= 73/4096: cheat[7][0][0]:= 917/40960: cheat[7][0][1]:= -2611/40960: cheat[7][0][2]:= -119/4096: cheat[7][0][3]:= -413/4096: cheat[7][0][4]:= 651/20480: cheat[7][0][5]:= -245/8192: cheat[7][0][7]:= 917/40960: cheat[7][2][0]:= 1393/40960: cheat[7][2][1]:= 1281/40960: cheat[7][2][2]:= 1491/10240: cheat[7][2][3]:= 651/10240: cheat[7][2][4]:= 637/20480: cheat[7][2][5]:= 3297/40960: cheat[7][4][0]:= 623/40960: cheat[7][4][1]:= -2009/40960: cheat[7][4][2]:= -819/20480: cheat[7][4][3]:= 1379/20480: cheat[7][6][0]:= 399/8192: cheat[7][6][1]:= 3339/40960: cheat[8][0][0]:= 1417/327680: cheat[8][0][1]:= -4793/61440: cheat[8][0][2]:= 2323/24576: cheat[8][0][3]:= -59/960: cheat[8][0][4]:= 35/2048: cheat[8][0][5]:= -407/61440: cheat[8][0][6]:= -2449/40960: cheat[8][0][8]:= 1417/327680: cheat[8][2][0]:= 2199/81920: cheat[8][2][1]:= -1999/20480: cheat[8][2][2]:= -1347/40960: cheat[8][2][3]:= -41/1280: cheat[8][2][4]:= -259/2048: cheat[8][2][5]:= 2951/61440: cheat[8][2][6]:= 6943/122880: cheat[8][4][0]:= 5803/163840: cheat[8][4][1]:= 59/4096: cheat[8][4][2]:= -1369/40960: cheat[8][4][3]:= 571/3840: cheat[8][4][4]:= 1287/10240: cheat[8][6][0]:= 11221/245760: cheat[8][6][1]:= 1981/12288: cheat[8][6][2]:= 4679/40960: cheat[8][8][0]:= -4997/983040: cheat[9][0][0]:= -4303/688128: cheat[9][0][1]:= 2613/573440: cheat[9][0][2]:= 3855/57344: cheat[9][0][3]:= 1/10240: cheat[9][0][4]:= -261/286720: cheat[9][0][5]:= 5901/81920: cheat[9][0][6]:= -2411/143360: cheat[9][0][7]:= -2229/573440: cheat[9][0][9]:= -4303/688128: cheat[9][2][0]:= -1401/286720: cheat[9][2][1]:= -7821/143360: cheat[9][2][2]:= -6261/286720: cheat[9][2][3]:= 1359/35840: cheat[9][2][4]:= -111/896: cheat[9][2][5]:= -26673/286720: cheat[9][2][6]:= -27/143360: cheat[9][2][7]:= -11103/573440: cheat[9][4][0]:= 3177/573440: cheat[9][4][1]:= -5913/286720: cheat[9][4][2]:= -7923/57344: cheat[9][4][3]:= -4311/71680: cheat[9][4][4]:= 21597/286720: cheat[9][4][5]:= 537/81920: cheat[9][6][0]:= 3531/286720: cheat[9][6][1]:= 14211/143360: cheat[9][6][2]:= 40137/286720: cheat[9][6][3]:= 1131/35840: cheat[9][8][0]:= -18369/1146880: cheat[9][8][1]:= -16347/573440: cheat[10][0][0]:= -334433/110100480: cheat[10][0][1]:= 92629/2752512: cheat[10][0][2]:= -420475/11010048: cheat[10][0][3]:= 59305/2752512: cheat[10][0][4]:= -138811/2752512: cheat[10][0][5]:= 51701/1376256: cheat[10][0][6]:= 27641/2752512: cheat[10][0][7]:= -1817/917504: cheat[10][0][8]:= 38993/1572864: cheat[10][0][10]:= -334433/110100480: cheat[10][2][0]:= -249061/22020096: cheat[10][2][1]:= 6463/172032: cheat[10][2][2]:= 6235/393216: cheat[10][2][3]:= 38011/393216: cheat[10][2][4]:= 116115/1835008: cheat[10][2][5]:= -14075/688128: cheat[10][2][6]:= 3069/57344: cheat[10][2][7]:= -53813/2752512: cheat[10][2][8]:= -324557/11010048: cheat[10][4][0]:= -133325/11010048: cheat[10][4][1]:= -981/458752: cheat[10][4][2]:= -276889/5505024: cheat[10][4][3]:= -297061/2752512: cheat[10][4][4]:= 5375/688128: cheat[10][4][5]:= -83087/1376256: cheat[10][4][6]:= -9087/131072: cheat[10][6][0]:= -33811/3670016: cheat[10][6][1]:= 621/114688: cheat[10][6][2]:= 51407/917504: cheat[10][6][3]:= -35787/917504: cheat[10][6][4]:= -125561/1835008: cheat[10][8][0]:= -431449/22020096: cheat[10][8][1]:= -205055/2752512: cheat[10][8][2]:= -214825/3670016: cheat[10][10][0]:= 49649/36700160: heat:=0: for n from 0 to 10 do for l from 0 to n do for r from 0 to n do if cheat[n][l][r] <> 0 then heat:=heat+cheat[n][l][r]*beta^n*delta^l*alpha^r: fi: od: od: od: heat:=collect(heat,[beta,delta,alpha]); # # DIMERISED S=1/2 CHAIN # # (n,l) == (beta*J)^n*delta^l for n from 0 to 18 do for l from 0 to n do cheatd[n][l] := 0: od: od: cheatd[2][0]:= 3/16: cheatd[2][2]:= 3/16: cheatd[3][0]:= 3/32: cheatd[3][2]:= 9/32: cheatd[4][0]:= -15/256: cheatd[4][2]:= 3/128: cheatd[4][4]:= -15/256: cheatd[5][0]:= -15/256: cheatd[5][2]:= -15/128: cheatd[5][4]:= -35/256: cheatd[6][0]:= 21/4096: cheatd[6][2]:= -177/4096: cheatd[6][4]:= -333/4096: cheatd[6][6]:= 73/4096: cheatd[7][0]:= 917/40960: cheatd[7][2]:= 1393/40960: cheatd[7][4]:= 623/40960: cheatd[7][6]:= 399/8192: cheatd[8][0]:= 1417/327680: cheatd[8][2]:= 2199/81920: cheatd[8][4]:= 5803/163840: cheatd[8][6]:= 11221/245760: cheatd[8][8]:= -4997/983040: cheatd[9][0]:= -4303/688128: cheatd[9][2]:= -1401/286720: cheatd[9][4]:= 3177/573440: cheatd[9][6]:= 3531/286720: cheatd[9][8]:= -18369/1146880: cheatd[10][0]:= -334433/110100480: cheatd[10][2]:= -249061/22020096: cheatd[10][4]:= -133325/11010048: cheatd[10][6]:= -33811/3670016: cheatd[10][8]:= -431449/22020096: cheatd[10][10]:= 49649/36700160: cheatd[11][0]:= 37543/31457280: cheatd[11][2]:= -2943281/1981808640: cheatd[11][4]:= -1231703/198180864: cheatd[11][6]:= -2446939/330301440: cheatd[11][8]:= -4199591/396361728: cheatd[11][10]:= 9792739/1981808640: cheatd[12][0]:= 3987607/3170893824: cheatd[12][2]:= 47342317/13212057600: cheatd[12][4]:= 70948027/26424115200: cheatd[12][6]:= 16985329/19818086400: cheatd[12][8]:= -238381/1056964608: cheatd[12][10]:= 2809583/377487360: cheatd[12][12]:= -40555/117440512: cheatd[13][0]:= -1925339/41523609600: cheatd[13][2]:= 60223033/39636172800: cheatd[13][4]:= 2856603451/871995801600: cheatd[13][6]:= 63260587/19818086400: cheatd[13][8]:= 168008737/58133053440: cheatd[13][10]:= 2484478763/435997900800: cheatd[13][12]:= -140182523/96888422400: cheatd[14][0]:= -369233453/930128855040: cheatd[14][2]:= -967322681/1195879956480: cheatd[14][4]:= 29175427/1993133260800: cheatd[14][6]:= 5006543507/5979399782400: cheatd[14][8]:= 2068244921/1993133260800: cheatd[14][10]:= 1193462617/664377753600: cheatd[14][12]:= -1410199439/543581798400: cheatd[14][14]:= 3603293663/41855798476800: cheatd[15][0]:= -31504270817/362750253465600: cheatd[15][2]:= -7632645211/10364292956160: cheatd[15][4]:= -89314894561/72550050693120: cheatd[15][6]:= -210219285347/217650152079360: cheatd[15][8]:= -3750596387/5580773130240: cheatd[15][10]:= -28368692533/51821464780800: cheatd[15][12]:= -110329916941/43530030415872: cheatd[15][14]:= 5917497137/14510010138624: cheatd[16][0]:= 851758334701/8706006083174400: cheatd[16][2]:= 48804050567/692523211161600: cheatd[16][4]:= -448010792927/1171962357350400: cheatd[16][6]:= -577431395917/846417258086400: cheatd[16][8]:= -199750102373/307788093849600: cheatd[16][10]:= -141175079351/217650152079360: cheatd[16][12]:= -6744074943121/5078503548518400: cheatd[16][14]:= 718080430229/846417258086400: cheatd[16][16]:= -1288308081349/60942042582220800: cheatd[17][0]:= 184265505341/3627502534656000: cheatd[17][2]:= 501069785641/1904438830694400: cheatd[17][4]:= 1750455145427/5193924083712000: cheatd[17][6]:= 65018005163/453437816832000: cheatd[17][8]:= 747694294049/114266329841664000: cheatd[17][10]:= -170193679963/5713316492083200: cheatd[17][12]:= -221941384979/1269625887129600: cheatd[17][14]:= 28645978566427/28566582460416000: cheatd[17][16]:= -25549233744557/228532659683328000: cheatd[18][0]:= -80067486241427/4875363406577664000: cheatd[18][2]:= 5145779287709/108341409035059200: cheatd[18][4]:= 8816140320217/36934571261952000: cheatd[18][6]:= 129505647760939/406280283881472000: cheatd[18][8]:= 211128422793049/812560567762944000: cheatd[18][10]:= 19613319318773/90284507529216000: cheatd[18][12]:= 88360795513999/406280283881472000: cheatd[18][14]:= 5854118848751/8291434364928000: cheatd[18][16]:= -85986647698741/325024227105177600: cheatd[18][18]:= 6827887220393/1329644565430272000: heat_dim:=0: for n from 0 to 18 do for l from 0 to n do if cheatd[n][l] <> 0 then heat_dim:=heat_dim+cheatd[n][l]*beta^n*delta^l: fi: od: od: heat_dim:=collect(heat_dim,[beta,delta]); # Coefficients for the T*susceptibility: # (n,l) == (beta*J)^n*delta^l for n from 0 to 18 do for l from 0 to n do cchid[n][l] := 0: od: od: cchid[0][0]:= 1/4: cchid[1][0]:= -1/8: cchid[2][2]:= -1/16: cchid[3][0]:= 1/96: cchid[4][0]:= 5/1536: cchid[4][2]:= 7/768: cchid[4][4]:= 7/512: cchid[5][0]:= -7/5120: cchid[5][2]:= 1/1536: cchid[5][4]:= 23/3072: cchid[6][0]:= -133/122880: cchid[6][2]:= -83/40960: cchid[6][4]:= -21/40960: cchid[6][6]:= -1129/368640: cchid[7][0]:= 1/16128: cchid[7][2]:= -59/92160: cchid[7][4]:= -11/9216: cchid[7][6]:= -307/92160: cchid[8][0]:= 1269/4587520: cchid[8][2]:= 89/229376: cchid[8][4]:= 1507/20643840: cchid[8][6]:= -10831/10321920: cchid[8][8]:= 9623/13762560: cchid[9][0]:= 3737/74317824: cchid[9][2]:= 979/3440640: cchid[9][4]:= 481/1376256: cchid[9][6]:= 263/1474560: cchid[9][8]:= 15607/13762560: cchid[10][0]:= -339691/5945425920: cchid[10][2]:= -215221/5945425920: cchid[10][4]:= 195049/2972712960: cchid[10][6]:= 145961/990904320: cchid[10][8]:= 1374211/1981808640: cchid[10][10]:= -4776949/29727129600: cchid[11][0]:= -1428209/54499737600: cchid[11][2]:= -2683/29030400: cchid[11][4]:= -674059/7431782400: cchid[11][6]:= -56827/1238630400: cchid[11][8]:= 98731/707788800: cchid[11][10]:= -9539/27525120: cchid[12][0]:= 18710029/2242274918400: cchid[12][2]:= -35760853/2615987404800: cchid[12][4]:= -50519537/1046394961920: cchid[12][6]:= -18989863/356725555200: cchid[12][8]:= -212653873/5231974809600: cchid[12][10]:= -161397977/523197480960: cchid[12][12]:= 193615997/5231974809600: cchid[13][0]:= 7045849/809710387200: cchid[13][2]:= 2790083/118908518400: cchid[13][4]:= 9861031/653996851200: cchid[13][6]:= 16757/19818086400: cchid[13][8]:= -56229473/3923981107200: cchid[13][10]:= -9467111/71345111040: cchid[13][12]:= 2172449/21799895040: cchid[14][0]:= -358847/3957275492352: cchid[14][2]:= 361148659/35876398694400: cchid[14][4]:= 9492225643/466393183027200: cchid[14][6]:= 5394474767/296795661926400: cchid[14][8]:= 7897101007/652950456238080: cchid[14][10]:= -10743048697/652950456238080: cchid[14][12]:= 378600476623/3264752281190400: cchid[14][14]:= -656281799/76947023462400: cchid[15][0]:= -65174099663/28566582460416000: cchid[15][2]:= -49949749/11719623573504: cchid[15][4]:= 373889611/357082280755200: cchid[15][6]:= 196672854197/34279898952499200: cchid[15][8]:= 1134039913/173130802790400: cchid[15][10]:= 86433646963/11426632984166400: cchid[15][12]:= 125245014907/1713994947624960: cchid[15][14]:= -104930723893/3808877661388800: cchid[16][0]:= -258645079463/498616712036352000: cchid[16][2]:= -15175092143/3767021862912000: cchid[16][4]:= -8706451935593/1371195958099968000: cchid[16][6]:= -381013820701/85699747381248000: cchid[16][8]:= -6536122273267/2742391916199936000: cchid[16][10]:= 176252096491/342798989524992000: cchid[16][12]:= 32635888627387/1371195958099968000: cchid[16][14]:= -150602416817/3808877661388800: cchid[16][16]:= 10785364513867/5484783832399872000: cchid[17][0]:= 1228965600979/2590036809744384000: cchid[17][2]:= 146506668199/685597979049984000: cchid[17][4]:= -134460640739/62327089004544000: cchid[17][6]:= -804378832603/228532659683328000: cchid[17][8]:= -1051886885537/342798989524992000: cchid[17][10]:= -535584743809/228532659683328000: cchid[17][12]:= 344293742347/228532659683328000: cchid[17][14]:= -22234161829843/685597979049984000: cchid[17][16]:= 52097662147/7031774144102400: cchid[18][0]:= 1116582102301823/4475583607238295552000: cchid[18][2]:= 33268250832001/27124749134777548800: cchid[18][4]:= 301983779893/208944145996185600: cchid[18][6]:= 30860378761391/74593060120638259200: cchid[18][8]:= -182357607317269/745930601206382592000: cchid[18][10]:= -114706799537333/248643533735460864000: cchid[18][12]:= -90442750894411/74593060120638259200: cchid[18][14]:= -169097404668739/10656151445805465600: cchid[18][16]:= 6285092004168191/497287067470921728000: cchid[18][18]:= -468309667465837/1032826986285760512000: Tchi_dim:=0: for n from 0 to 18 do for l from 0 to n do if cchid[n][l] <> 0 then Tchi_dim:=Tchi_dim+cchid[n][l]*beta^n*delta^l: fi: od: od: Tchi_dim:=collect(Tchi_dim,[beta,delta]); # END OF FILE