#ifndef `HARMPOLHFILE' #define HARMPOLHFILE "1" * * Note: we have included htables only up to weight 6. * If higher weights are needed one should just put the files * htable7.prc and htable8.prc in the proper library directory. * The htables procedure will find them if needed. * *--#[ summer.h : #ifndef `SUMMER6FILE' #include summer.h #endif *--#] summer.h : *--#[ basish : #procedure basish(H,x,par) * * Combines multiple occurrences of H functions into sums over single * occurrences. The algorithm is a simple merging algorithm in the * 0,1,-1 notation. * If par < 0 we do one pair at a time and then sort. * If par >= 0 we do them all at once. * if |par| = 2, we first convert to 0,1,-1 notation * This should not be used if there are symbolic indices! * * J.Vermaseren, 11-aug-1998 * #if `par' < 0 #if `par' == -2 repeat id `H'(R(?a,n?!{0,1,-1},?b),`x') = `H'(R(?a,0,n-sig_(n),?b),`x'); #endif #$basish1 = 1; #do basishi = 1,1 id,once,`H'(R(?a),`x')*`H'(R(?b),`x') = HH(R(?a),R(?b),R,`x'); repeat id HH(R(n1?,?a),R(n2?,?b),R(?c),`x') = +HH(R(?a),R(n2,?b),R(?c,n1),`x') +HH(R(n1,?a),R(?b),R(?c,n2),`x'); id HH(R(?a),R,R(?c),`x') = `H'(R(?c,?a),`x'); id HH(R,R(?a),R(?c),`x') = `H'(R(?c,?a),`x'); if ( match(`H'(R(?a),`x')) > 1 ) redefine basishi "0"; .sort:basish: `$basish1'; #$basish1 = $basish1+1; #enddo #else #if `par' == 2 repeat id `H'(R(?a,n?!{0,1,-1},?b),`x') = `H'(R(?a,0,n-sig_(n),?b),`x'); #endif repeat; id,once,`H'(R(?a),`x')*`H'(R(?b),`x') = HH(R(?a),R(?b),R,`x'); repeat id HH(R(n1?,?a),R(n2?,?b),R(?c),`x') = +HH(R(?a),R(n2,?b),R(?c,n1),`x') +HH(R(n1,?a),R(?b),R(?c,n2),`x'); id HH(R(?a),R,R(?c),`x') = `H'(R(?c,?a),`x'); id HH(R,R(?a),R(?c),`x') = `H'(R(?c,?a),`x'); endrepeat; #endif #endprocedure *--#] basish : *--#[ elimhalf : #procedure elimhalf * * Just an example of relations that can be derived (and used) based on * some of the x transformations. It does result in simplifications and * allows the evaluation of the trancendental numbers. Here we have only * worked it out to weight 6. * $c = count_(ln2,1,z2,2,z3,3,z5,5,li4half,4,li5half,5,li6half,6,li7half,7 ,s6,6,s7a,7,s7b,7); if ( $c == 2 ); id ln2^2 = 2*H(R(1,1),1/2); id z2 = 2*H(R(0,1),1/2)+2*H(R(1,1),1/2); elseif ( $c == 3 ); id ln2^3 = 6*H(R(1,1,1),1/2); id z3 = 8*(H(R(0,1,1),1/2)+H(R(1,1,1),1/2)); id z2*ln2 = 2*(-H(R(0,0,1),1/2)+7*H(R(0,1,1),1/2)+8*H(R(1,1,1),1/2)); elseif ( $c == 4 ); id ln2^4 = 24*H(R(1,1,1,1),1/2); id li4half = H(R(0,0,0,1),1/2); id z2^2 = 40/7*H(R(0,0,0,1),1/2) - 200/7*H(R(0,0,1,1),1/2) + 40/7*H(R(0,1,0,1),1/2) + 40/7*H(R(0,1,1,1),1/2) + 240/7*H(R(1,1,1,1),1/2); id z2*ln2^2 = 20/7*H(R(0,0,0,1),1/2) - 156/7*H(R(0,0,1,1),1/2) - 8/7*H(R(0,1,0,1),1/2) + 20/7*H(R(0,1,1,1),1/2) + 204/7*H(R(1,1,1,1),1/2); id z3*ln2 = 16/7*H(R(0,0,0,1),1/2) - 136/7*H(R(0,0,1,1),1/2) + 16/7*H(R(0,1,0,1),1/2) + 16/7*H(R(0,1,1,1),1/2) + 152/7*H(R(1,1,1,1),1/2); elseif ( $c == 5 ); id ln2^5 = 120*H(R(1,1,1,1,1),1/2); id li5half = H(R(0,0,0,0,1),1/2); id z2^2*ln2 = 2680/671*H(R(0,0,0,0,1),1/2) - 15560/671*H(R(0,0,0,1,1),1/2) - 134720/ 671*H(R(0,0,1,1,1),1/2) + 7720/671*H(R(0,1,0,0,1),1/2) - 40760/671*H(R(0 ,1,0,1,1),1/2) + 5040/671*H(R(0,1,1,0,1),1/2) + 7600/671*H(R(0,1,1,1,1), 1/2) + 167520/671*H(R(1,1,1,1,1),1/2); id z2*z3 = 2768/671*H(R(0,0,0,0,1),1/2) - 11424/671*H(R(0,0,0,1,1),1/2) - 58864/671 *H(R(0,0,1,1,1),1/2) + 4288/671*H(R(0,1,0,0,1),1/2) - 19024/671*H(R(0,1, 0,1,1),1/2) + 1520/671*H(R(0,1,1,0,1),1/2) + 1440/671*H(R(0,1,1,1,1),1/2 ) + 67904/671*H(R(1,1,1,1,1),1/2); id z2*ln2^3 = 1284/671*H(R(0,0,0,0,1),1/2) - 5532/671*H(R(0,0,0,1,1),1/2) - 50484/671* H(R(0,0,1,1,1),1/2) + 1896/671*H(R(0,1,0,0,1),1/2) - 24696/671*H(R(0,1,0 ,1,1),1/2) - 7440/671*H(R(0,1,1,0,1),1/2) + 156/671*H(R(0,1,1,1,1),1/2) + 77856/671*H(R(1,1,1,1,1),1/2); id z3*ln2^2 = 96/61*H(R(0,0,0,0,1),1/2) - 368/61*H(R(0,0,0,1,1),1/2) - 5088/61*H(R(0,0 ,1,1,1),1/2) + 160/61*H(R(0,1,0,0,1),1/2) - 1664/61*H(R(0,1,0,1,1),1/2) + 64/61*H(R(0,1,1,0,1),1/2) + 112/61*H(R(0,1,1,1,1),1/2) + 6496/61*H(R( 1,1,1,1,1),1/2); id z5 = 128/61*H(R(0,0,0,0,1),1/2) - 1472/183*H(R(0,0,0,1,1),1/2) - 2880/61*H(R( 0,0,1,1,1),1/2) + 640/183*H(R(0,1,0,0,1),1/2) - 2752/183*H(R(0,1,0,1,1), 1/2) + 256/183*H(R(0,1,1,0,1),1/2) + 448/183*H(R(0,1,1,1,1),1/2) + 3456/ 61*H(R(1,1,1,1,1),1/2); id ln2*li4half = 489/671*H(R(0,0,0,0,1),1/2) - 13645/2013*H(R(0,0,0,1,1),1/2) - 15608/671 *H(R(0,0,1,1,1),1/2) + 5678/2013*H(R(0,1,0,0,1),1/2) - 18596/2013*H(R(0, 1,0,1,1),1/2) - 1828/2013*H(R(0,1,1,0,1),1/2) + 1376/2013*H(R(0,1,1,1,1) ,1/2) + 16375/671*H(R(1,1,1,1,1),1/2); elseif ( $c == 6 ); id ln2^6 = 720*H(R(1,1,1,1,1,1),1/2); id li6half = H(R(0,0,0,0,0,1),1/2); id z2*ln2^4 = 178128/52283*H(R(0,0,0,0,0,1),1/2) - 3611940/52283*H(R(0,0,0,0,1,1),1/2) - 4439060/156849*H(R(0,0,0,1,0,1),1/2) + 15429136/52283*H(R(0,0,0,1,1,1 ),1/2) - 643476/52283*H(R(0,0,1,0,0,1),1/2) + 5029792/52283*H(R(0,0,1,0, 1,1),1/2) - 8455148/52283*H(R(0,0,1,1,1,1),1/2) - 494276/156849*H(R(0,1, 0,0,0,1),1/2) - 11400812/156849*H(R(0,1,0,1,1,1),1/2) - 357068/14259*H( R(0,1,1,0,1,1),1/2) - 130604/156849*H(R(0,1,1,1,0,1),1/2) + 339760/52283 *H(R(0,1,1,1,1,1),1/2) + 40484880/52283*H(R(1,1,1,1,1,1),1/2); id z3*ln2^3 = 431040/365981*H(R(0,0,0,0,0,1),1/2) + 195072/365981*H(R(0,0,0,0,1,1),1/2 ) + 213104/1097943*H(R(0,0,0,1,0,1),1/2) - 24632512/365981*H(R(0,0,0,1,1 ,1),1/2) + 477072/365981*H(R(0,0,1,0,0,1),1/2) - 8026240/365981*H(R(0,0, 1,0,1,1),1/2) - 141523072/365981*H(R(0,0,1,1,1,1),1/2) + 932336/1097943* H(R(0,1,0,0,0,1),1/2) - 214210672/1097943*H(R(0,1,0,1,1,1),1/2) - 6546640/99813*H(R(0,1,1,0,1,1),1/2) - 1283536/1097943*H(R(0,1,1,1,0,1),1/ 2) - 553792/365981*H(R(0,1,1,1,1,1),1/2) + 203523360/365981*H(R(1,1,1,1, 1,1),1/2); id z2*z3*ln2 = 124416/33271*H(R(0,0,0,0,0,1),1/2) + 76224/33271*H(R(0,0,0,0,1,1),1/2) + 49136/299439*H(R(0,0,0,1,0,1),1/2) - 33186400/99813*H(R(0,0,0,1,1,1), 1/2) + 130352/33271*H(R(0,0,1,0,0,1),1/2) - 10921888/99813*H(R(0,0,1,0,1 ,1),1/2) - 55898848/99813*H(R(0,0,1,1,1,1),1/2) + 841952/299439*H(R(0,1, 0,0,0,1),1/2) - 85630864/299439*H(R(0,1,0,1,1,1),1/2) - 28974800/299439* H(R(0,1,1,0,1,1),1/2) - 944512/299439*H(R(0,1,1,1,0,1),1/2) - 420736/ 99813*H(R(0,1,1,1,1,1),1/2) + 16447680/33271*H(R(1,1,1,1,1,1),1/2); id z2*li4half = 548676/365981*H(R(0,0,0,0,0,1),1/2) + 1411653/731962*H(R(0,0,0,0,1,1),1/ 2) + 5496881/2195886*H(R(0,0,0,1,0,1),1/2) - 3056946/365981*H(R(0,0,0,1, 1,1),1/2) + 471657/731962*H(R(0,0,1,0,0,1),1/2) - 1358164/365981*H(R(0,0 ,1,0,1,1),1/2) - 14848021/731962*H(R(0,0,1,1,1,1),1/2) + 977945/2195886* H(R(0,1,0,0,0,1),1/2) - 19879225/2195886*H(R(0,1,0,1,1,1),1/2) - 736009/ 199626*H(R(0,1,1,0,1,1),1/2) - 205969/2195886*H(R(0,1,1,1,0,1),1/2) + 285584/365981*H(R(0,1,1,1,1,1),1/2) + 6519250/365981*H(R(1,1,1,1,1,1),1/ 2); id z2^2*ln2^2 = 228320/52283*H(R(0,0,0,0,0,1),1/2) + 260760/52283*H(R(0,0,0,0,1,1),1/2) + 1832840/470547*H(R(0,0,0,1,0,1),1/2) - 53136880/156849*H(R(0,0,0,1,1, 1),1/2) + 70120/52283*H(R(0,0,1,0,0,1),1/2) - 17905840/156849*H(R(0,0,1, 0,1,1),1/2) - 127170520/156849*H(R(0,0,1,1,1,1),1/2) - 87160/470547*H(R( 0,1,0,0,0,1),1/2) - 190291960/470547*H(R(0,1,0,1,1,1),1/2) - 5783560/ 42777*H(R(0,1,1,0,1,1),1/2) - 321880/470547*H(R(0,1,1,1,0,1),1/2) + 580640/156849*H(R(0,1,1,1,1,1),1/2) + 46854400/52283*H(R(1,1,1,1,1,1),1/ 2); id s6 = 157568/52283*H(R(0,0,0,0,0,1),1/2) - 117585/52283*H(R(0,0,0,0,1,1),1/2) + 20821/470547*H(R(0,0,0,1,0,1),1/2) - 43271552/156849*H(R(0,0,0,1,1,1) ,1/2) + 128959/52283*H(R(0,0,1,0,0,1),1/2) - 14412284/156849*H(R(0,0,1,0 ,1,1),1/2) - 75972461/156849*H(R(0,0,1,1,1,1),1/2) + 924433/470547*H(R(0 ,1,0,0,0,1),1/2) - 115065941/470547*H(R(0,1,0,1,1,1),1/2) - 3531257/ 42777*H(R(0,1,1,0,1,1),1/2) - 687773/470547*H(R(0,1,1,1,0,1),1/2) - 34700/156849*H(R(0,1,1,1,1,1),1/2) + 23303312/52283*H(R(1,1,1,1,1,1),1/2 ); id ln2^2*li4half = 548676/365981*H(R(0,0,0,0,0,1),1/2) - 10299739/731962*H(R(0,0,0,0,1,1),1/ 2) - 12070207/2195886*H(R(0,0,0,1,0,1),1/2) - 3056946/365981*H(R(0,0,0,1 ,1,1),1/2) - 2456191/731962*H(R(0,0,1,0,0,1),1/2) - 1358164/365981*H(R(0 ,0,1,0,1,1),1/2) - 14848021/731962*H(R(0,0,1,1,1,1),1/2) - 3413827/ 2195886*H(R(0,1,0,0,0,1),1/2) - 19879225/2195886*H(R(0,1,0,1,1,1),1/2) - 736009/199626*H(R(0,1,1,0,1,1),1/2) - 205969/2195886*H(R(0,1,1,1,0,1) ,1/2) + 285584/365981*H(R(0,1,1,1,1,1),1/2) + 6519250/365981*H(R(1,1,1,1 ,1,1),1/2); id ln2*li5half = 218016/365981*H(R(0,0,0,0,0,1),1/2) - 25393/365981*H(R(0,0,0,0,1,1),1/2) + 1484716/3293829*H(R(0,0,0,1,0,1),1/2) - 80129132/1097943*H(R(0,0,0,1, 1,1),1/2) + 761986/365981*H(R(0,0,1,0,0,1),1/2) - 26505032/1097943*H(R(0 ,0,1,0,1,1),1/2) - 133288646/1097943*H(R(0,0,1,1,1,1),1/2) + 6470944/ 3293829*H(R(0,1,0,0,0,1),1/2) - 200711642/3293829*H(R(0,1,0,1,1,1),1/2) - 5933906/299439*H(R(0,1,1,0,1,1),1/2) + 323926/3293829*H(R(0,1,1,1,0,1 ),1/2) - 614036/1097943*H(R(0,1,1,1,1,1),1/2) + 38991349/365981*H(R(1,1, 1,1,1,1),1/2); id z2^3 = 527040/52283*H(R(0,0,0,0,0,1),1/2) - 619785/52283*H(R(0,0,0,0,1,1),1/2) - 114475/52283*H(R(0,0,0,1,0,1),1/2) - 24112920/52283*H(R(0,0,0,1,1,1), 1/2) + 311895/52283*H(R(0,0,1,0,0,1),1/2) - 8053200/52283*H(R(0,0,1,0,1, 1),1/2) - 40675755/52283*H(R(0,0,1,1,1,1),1/2) + 344945/52283*H(R(0,1,0, 0,0,1),1/2) - 20442685/52283*H(R(0,1,0,1,1,1),1/2) - 616765/4753*H(R(0,1 ,1,0,1,1),1/2) - 15325/52283*H(R(0,1,1,1,0,1),1/2) + 46680/52283*H(R(0,1 ,1,1,1,1),1/2) + 36403200/52283*H(R(1,1,1,1,1,1),1/2); id z3^2 = 1149440/365981*H(R(0,0,0,0,0,1),1/2) + 520192/365981*H(R(0,0,0,0,1,1),1/ 2) + 1704832/3293829*H(R(0,0,0,1,0,1),1/2) - 197060096/1097943*H(R(0,0,0 ,1,1,1),1/2) + 1272192/365981*H(R(0,0,1,0,0,1),1/2) - 64209920/1097943* H(R(0,0,1,0,1,1),1/2) - 288964352/1097943*H(R(0,0,1,1,1,1),1/2) + 7458688/3293829*H(R(0,1,0,0,0,1),1/2) - 448855040/3293829*H(R(0,1,0,1,1, 1),1/2) - 14044928/299439*H(R(0,1,1,0,1,1),1/2) - 10268288/3293829*H(R(0 ,1,1,1,0,1),1/2) - 4430336/1097943*H(R(0,1,1,1,1,1),1/2) + 74273280/ 365981*H(R(1,1,1,1,1,1),1/2); id z5*ln2 = 749568/365981*H(R(0,0,0,0,0,1),1/2) - 881472/365981*H(R(0,0,0,0,1,1),1/2 ) - 1465280/3293829*H(R(0,0,0,1,0,1),1/2) - 173150144/1097943*H(R(0,0,0, 1,1,1),1/2) + 443584/365981*H(R(0,0,1,0,0,1),1/2) - 57783104/1097943*H( R(0,0,1,0,1,1),1/2) - 314086592/1097943*H(R(0,0,1,1,1,1),1/2) + 4415296/ 3293829*H(R(0,1,0,0,0,1),1/2) - 472471424/3293829*H(R(0,1,0,1,1,1),1/2) - 14282624/299439*H(R(0,1,1,0,1,1),1/2) - 196160/3293829*H(R(0,1,1,1,0, 1),1/2) + 199168/1097943*H(R(0,1,1,1,1,1),1/2) + 98619008/365981*H(R(1,1 ,1,1,1,1),1/2); elseif ( $c == 7 ); id ln2^7 = 5040*H(R(1,1,1,1,1,1,1),1/2); id li7half = H(R(0,0,0,0,0,0,1),1/2); endif; *--#[ relations : id H(R(1,0,1),1/2) = -H(R(0,0,1),1/2)+5*H(R(0,1,1),1/2)+5*H(R(1,1,1),1/2); id H(R(1,1,0,1),1/2) = + 1/7*H(R(0,0,0,1),1/2) - 5/7*H(R(0,0,1,1),1/2) - 6/7*H(R(0,1,0,1),1/2) + 22/7*H(R(0,1,1,1),1/2) + 27/7*H(R(1,1,1,1),1/2); id H(R(1,0,0,1),1/2) = + 4/7*H(R(0,0,0,1),1/2) - 55/7*H(R(0,0,1,1),1/2) + 11/7*H(R(0,1,0,1),1/2) + 4/7*H(R(0,1,1,1),1/2) + 59/7*H(R(1,1,1,1),1/2); id H(R(1,0,1,1),1/2) = 2/7*H(R(0,0,0,1),1/2) - 17/7*H(R(0,0,1,1),1/2) +2/7*H(R(0,1,0,1),1/2) - 19/7*H(R(0,1,1,1),1/2) - 9/7*H(R(1,1,1,1),1/2); id H(R(1,1,0,0,1),1/2) = + 1/5*H(R(0,0,0,0,1),1/2) - 71/5*H(R(0,0,1,1,1),1/2) - 17/5*H(R(0,1,0,1,1),1/2) + 7/5*H(R(0,1,1,0,1),1/2) - 3/5*H(R(1,0,0,1,1),1/2) - 3/5*H(R(1,0,1,0,1),1/2) + 91/5*H(R(1,1,1,1,1),1/2); id H(R(1,1,0,1,1),1/2) = - 2/5*H(R(0,0,0,0,1),1/2) + 749/10*H(R(0,0,1,1,1),1/2) + 83/10*H(R(0,1,0,1,1),1/2) - 94/5*H(R(0,1,1,0,1),1/2) - 113/10*H(R(1,0,0,1,1),1/2) + 81/5*H(R(1,0,1,0,1),1/2) - 3*H(R(1,1,1,0,1),1/2) - 729/10*H(R(1,1,1,1,1),1/2); id H(R(1,0,1,1,1),1/2) = + 19/30*H(R(0,0,0,0,1),1/2) - 6253/60*H(R(0,0,1,1,1),1/2) - 781/60*H(R(0,1,0,1,1),1/2) + 123/5*H(R(0,1,1,0,1),1/2) + 971/60*H(R(1,0,0,1,1),1/2) - 667/30*H(R(1,0,1,0,1),1/2) + 3*H(R(1,1,1,0,1),1/2) + 2001/20*H(R(1,1,1,1,1),1/2); id H(R(1,0,0,0,1),1/2) = + 3/10*H(R(0,0,0,0,1),1/2) - 1/20*H(R(0,0,1,1,1),1/2) - 191/60*H(R(0,1,0,1,1),1/2) - 56/15*H(R(0,1,1,0,1),1/2) + 581/60*H(R(1,0,0,1,1),1/2) + 43/30*H(R(1,0,1,0,1),1/2) - H(R(1,1,1,0,1),1/2) - 129/20*H(R(1,1,1,1,1),1/2); id H(R(1,1,1,0,1),1/2) = - 7/30*H(R(0,0,0,0,1),1/2) + 2329/60*H(R(0,0,1,1,1),1/2) + 293/60*H(R(0,1,0,1,1),1/2) - 137/15*H(R(0,1,1,0,1),1/2) - H(R(0,1,1,1,1),1/2) - 121/20*H(R(1,0,0,1,1),1/2) + 251/30*H(R(1,0,1,0,1),1/2) - 773/20*H(R(1,1,1,1,1),1/2); id H(R(1,0,0,1,1),1/2) = 10/3*( + 3/3355*H(R(0,0,0,0,1),1/2) - 408/3355*H(R(0,0,0,1,1),1/2) - 5259/6710*H(R(0,0,1,1,1),1/2) + 249/3355*H(R(0,1,0,0,1),1/2) - 1263/6710*H(R(0,1,0,1,1),1/2) + 246/3355*H(R(0,1,1,0,1),1/2) + 339/3355*H(R(0,1,1,1,1),1/2) + 8397/6710*H(R(1,1,1,1,1),1/2)); id H(R(1,0,1,0,1),1/2) = 18/671*( + 5/9*H(R(0,0,0,0,1),1/2) - H(R(0,0,0,1,1),1/2) - 4739/18*H(R(0,0,1,1,1),1/2) + 53/6*H(R(0,1,0,0,1),1/2) - 763/18*H(R(0,1,0,1,1),1/2) + 410/9*H(R(0,1,1,0,1),1/2) + 51/2*H(R(0,1,1,1,1),1/2) + 1981/6*H(R(1,1,1,1,1),1/2)); id H(R(0,0,1,0,1),1/2) = + 169/671*H(R(0,0,0,0,1),1/2) - 5207/2013*H(R(0,0,0,1,1),1/2) + 5195/671*H(R(0,0,1,1,1),1/2) - 863/2013*H(R(0,1,0,0,1),1/2) + 1643/2013*H(R(0,1,0,1,1),1/2) - 3383/2013*H(R(0,1,1,0,1),1/2) - 1757/2013*H(R(0,1,1,1,1),1/2) - 8064/671*H(R(1,1,1,1,1),1/2); *--#] relations : id H(R(1,1,0,1,1,1),1/2) = + 147260/693077*H(R(0,0,0,0,0,1),1/2) + 1899613/1386154*H(R(0,0,0,0,1,1),1/2) - 691759/1386154*H(R(0,0,0,1,0,1),1/2) - 20573801/1386154*H(R(0,0,1,1,1,1),1/2) - 668824/693077*H(R(0,1,0,0,0,1),1/2) - 7088533/1386154*H(R(0,1,0,1,1,1),1/2) + 496095/126014*H(R(1,0,0,1,1,1),1/2) - 6742000/693077*H(R(1,1,0,0,1,1),1/2) - 759620/693077*H(R(1,1,0,1,0,1),1/2) + 146983/1386154*H(R(1,1,1,0,0,1),1/2) - 3*H(R(1,1,1,0,1,1),1/2) - 1848092/693077*H(R(1,1,1,1,0,1),1/2) + 14122530/693077*H(R(1,1,1,1,1,1),1/2); id H(R(1,1,0,0,0,1),1/2) = + 798535/5544616*H(R(0,0,0,0,0,1),1/2) - 103130451/44356928*H(R(0,0,0,0,1,1),1/2) - 55556225/44356928*H(R(0,0,0,1,0,1),1/2) + 153098707/44356928*H(R(0,0,1,1,1,1),1/2) - 1764383/11089232*H(R(0,1,0,0,0,1),1/2) + 47762765/44356928*H(R(0,1,0,1,1,1),1/2) + 2948509/4032448*H(R(1,0,0,1,1,1),1/2) + 63452847/5544616*H(R(1,1,0,0,1,1),1/2) - 278557/1386154*H(R(1,1,0,1,0,1),1/2) + 49987349/44356928*H(R(1,1,1,0,0,1),1/2) + 256694/693077*H(R(1,1,1,1,0,1),1/2) - 159446849/11089232*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,1,1,1,1),1/2) = - 162930/693077*H(R(0,0,0,0,0,1),1/2) - 20822903/11089232*H(R(0,0,0,0,1,1),1/2) + 5880571/11089232*H(R(0,0,0,1,0,1),1/2) + 215216079/11089232*H(R(0,0,1,1,1,1),1/2) + 2994521/2772308*H(R(0,1,0,0,0,1),1/2) + 70545873/11089232*H(R(0,1,0,1,1,1),1/2) - 4698719/1008112*H(R(1,0,0,1,1,1),1/2) + 16012343/1386154*H(R(1,1,0,0,1,1),1/2) + 875656/693077*H(R(1,1,0,1,0,1),1/2) + 216665/11089232*H(R(1,1,1,0,0,1),1/2) + 3*H(R(1,1,1,0,1,1),1/2) + 4336587/1386154*H(R(1,1,1,1,0,1),1/2) - 79793355/2772308*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,1,1,0,1),1/2) = - 130467/1386154*H(R(0,0,0,0,0,1),1/2) + 1726129/11089232*H(R(0,0,0,0,1,1),1/2) + 3805003/11089232*H(R(0,0,0,1,0,1),1/2) + 33259623/11089232*H(R(0,0,1,1,1,1),1/2) + 956617/2772308*H(R(0,1,0,0,0,1),1/2) + 15406393/11089232*H(R(0,1,0,1,1,1),1/2) + 1914921/1008112*H(R(1,0,0,1,1,1),1/2) + 6509047/1386154*H(R(1,1,0,0,1,1),1/2) - 251954/693077*H(R(1,1,0,1,0,1),1/2) + 5889497/11089232*H(R(1,1,1,0,0,1),1/2) - 34737/693077*H(R(1,1,1,1,0,1),1/2) - 30882163/2772308*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,1,0,1,1),1/2) = - 2757/198022*H(R(0,0,0,0,0,1),1/2) - 1496365/1584176*H(R(0,0,0,0,1,1),1/2) - 502399/1584176*H(R(0,0,0,1,0,1),1/2) + 1392645/1584176*H(R(0,0,1,1,1,1),1/2) + 89135/396044*H(R(0,1,0,0,0,1),1/2) + 552587/1584176*H(R(0,1,0,1,1,1),1/2) - 469845/144016*H(R(1,0,0,1,1,1),1/2) + 553317/198022*H(R(1,1,0,0,1,1),1/2) + 9538/99011*H(R(1,1,0,1,0,1),1/2) - 109397/1584176*H(R(1,1,1,0,0,1),1/2) - 5037/99011*H(R(1,1,1,1,0,1),1/2) + 469267/396044*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,1,0,0,1),1/2) = + 956289/11089232*H(R(0,0,0,0,0,1),1/2) - 228752141/88713856*H(R(0,0,0,0,1,1),1/2) - 114814751/88713856*H(R(0,0,0,1,0,1),1/2) - 961617843/88713856*H(R(0,0,1,1,1,1),1/2) + 5750879/22178464*H(R(0,1,0,0,0,1),1/2) - 467268525/88713856*H(R(0,1,0,1,1,1),1/2) + 21686275/8064896*H(R(1,0,0,1,1,1),1/2) + 67694457/11089232*H(R(1,1,0,0,1,1),1/2) - 909485/2772308*H(R(1,1,0,1,0,1),1/2) - 41506357/88713856*H(R(1,1,1,0,0,1),1/2) - 635606/693077*H(R(1,1,1,1,0,1),1/2) + 219383457/22178464*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,0,1,0,1),1/2) = + 341731/11089232*H(R(0,0,0,0,0,1),1/2) - 237964295/88713856*H(R(0,0,0,0,1,1),1/2) - 94401533/88713856*H(R(0,0,0,1,0,1),1/2) + 869200391/88713856*H(R(0,0,1,1,1,1),1/2) + 5879805/22178464*H(R(0,1,0,0,0,1),1/2) + 385119193/88713856*H(R(0,1,0,1,1,1),1/2) - 21738519/8064896*H(R(1,0,0,1,1,1),1/2) + 58949035/11089232*H(R(1,1,0,0,1,1),1/2) + 21837/2772308*H(R(1,1,0,1,0,1),1/2) + 25940225/88713856*H(R(1,1,1,0,0,1),1/2) + 326068/693077*H(R(1,1,1,1,0,1),1/2) - 312205965/22178464*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,0,0,1,1),1/2) = + 343813/2772308*H(R(0,0,0,0,0,1),1/2) + 7616869/22178464*H(R(0,0,0,0,1,1),1/2) - 9229289/22178464*H(R(0,0,0,1,0,1),1/2) - 320593733/22178464*H(R(0,0,1,1,1,1),1/2) - 2323647/5544616*H(R(0,1,0,0,0,1),1/2) - 118686619/22178464*H(R(0,1,0,1,1,1),1/2) + 6136885/2016224*H(R(1,0,0,1,1,1),1/2) - 14764749/2772308*H(R(1,1,0,0,1,1),1/2) - 398925/693077*H(R(1,1,0,1,0,1),1/2) - 1183747/22178464*H(R(1,1,1,0,0,1),1/2) - H(R(1,1,1,0,1,1),1/2) - 2201483/1386154*H(R(1,1,1,1,0,1),1/2) + 109479703/5544616*H(R(1,1,1,1,1,1),1/2); id H(R(1,0,0,0,0,1),1/2) = + 189087/693077*H(R(0,0,0,0,0,1),1/2) - 108797385/5544616*H(R(0,0,0,0,1,1),1/2) - 40085763/5544616*H(R(0,0,0,1,0,1),1/2) + 21448209/5544616*H(R(0,0,1,1,1,1),1/2) + 4079805/1386154*H(R(0,1,0,0,0,1),1/2) + 7667367/5544616*H(R(0,1,0,1,1,1),1/2) - 756521/504056*H(R(1,0,0,1,1,1),1/2) + 30035050/693077*H(R(1,1,0,0,1,1),1/2) + 1310467/693077*H(R(1,1,0,1,0,1),1/2) + 17034695/5544616*H(R(1,1,1,0,0,1),1/2) - 413178/693077*H(R(1,1,1,1,0,1),1/2) - 38069215/1386154*H(R(1,1,1,1,1,1),1/2); id H(R(1,1,1,0,1,1),1/2) = + 55695/693077*H(R(0,0,0,0,0,1),1/2) + 7607697/11089232*H(R(0,0,0,0,1,1),1/2) - 2096893/11089232*H(R(0,0,0,1,0,1),1/2) - 80611673/11089232*H(R(0,0,1,1,1,1),1/2) - 1009655/2772308*H(R(0,1,0,0,0,1),1/2) - 25728855/11089232*H(R(0,1,0,1,1,1),1/2) - H(R(0,1,1,1,1,1),1/2) + 1668185/1008112*H(R(1,0,0,1,1,1),1/2) - 5484473/1386154*H(R(1,1,0,0,1,1),1/2) - 298308/693077*H(R(1,1,0,1,0,1),1/2) - 106031/11089232*H(R(1,1,1,0,0,1),1/2) - 1488199/1386154*H(R(1,1,1,1,0,1),1/2) + 25520029/2772308*H(R(1,1,1,1,1,1),1/2); id H(R(1,1,1,1,0,1),1/2) = 63007/5577*( - 5079/126014*H(R(0,0,0,0,0,1),1/2) - 400859/1008112*H(R(0,0,0,0,1,1),1/2) - 49641/1008112*H(R(0,0,0,1,0,1),1/2) + 9230451/1008112*H(R(0,0,1,1,1,1),1/2) + 47301/252028*H(R(0,1,0,0,0,1),1/2) + 3530157/1008112*H(R(0,1,0,1,1,1),1/2) - H(R(0,1,1,1,0,1),1/2) - 543681/1008112*H(R(1,0,0,1,1,1),1/2) + 301563/126014*H(R(1,1,0,0,1,1),1/2) + 35387/63007*H(R(1,1,0,1,0,1),1/2) + 172493/1008112*H(R(1,1,1,0,0,1),1/2) - 3557143/252028*H(R(1,1,1,1,1,1),1/2)); id H(R(1,1,0,1,0,1),1/2) = 1859/509*( + 255/20449*H(R(0,0,0,0,0,1),1/2) + 31517/163592*H(R(0,0,0,0,1,1),1/2) + 19343/163592*H(R(0,0,0,1,0,1),1/2) - 1676397/163592*H(R(0,0,1,1,1,1),1/2) - 25/40898*H(R(0,1,0,0,0,1),1/2) - 743755/163592*H(R(0,1,0,1,1,1),1/2) - H(R(0,1,1,0,1,1),1/2) + 11313/20449*H(R(0,1,1,1,0,1),1/2) - 20673/163592*H(R(1,0,0,1,1,1),1/2) - 24150/20449*H(R(1,1,0,0,1,1),1/2) - 62915/163592*H(R(1,1,1,0,0,1),1/2) + 691525/40898*H(R(1,1,1,1,1,1),1/2)); id H(R(1,1,0,0,1,1),1/2) = 11198/819*( - 373/5599*H(R(0,0,0,0,0,1),1/2) + 37203/44792*H(R(0,0,0,0,1,1),1/2) + 73603/134376*H(R(0,0,0,1,0,1),1/2) - H(R(0,0,0,1,1,1),1/2) - 1750929/44792*H(R(0,0,1,1,1,1),1/2) + 21847/33594*H(R(0,1,0,0,0,1),1/2) - 2597393/134376*H(R(0,1,0,1,1,1),1/2) - 20099/3054*H(R(0,1,1,0,1,1),1/2) + 10364/16797*H(R(0,1,1,1,0,1),1/2) - H(R(0,1,1,1,1,1),1/2) - 114149/44792*H(R(1,0,0,1,1,1),1/2) - 84285/44792*H(R(1,1,1,0,0,1),1/2) + 1451075/22396*H(R(1,1,1,1,1,1),1/2)); id H(R(1,0,0,1,1,1),1/2) = -78/5275*( + 488/273*H(R(0,0,0,0,0,1),1/2) - 1949/91*H(R(0,0,0,0,1,1),1/2) - 11671/819*H(R(0,0,0,1,0,1),1/2) + 6455/273*H(R(0,0,0,1,1,1),1/2) - H(R(0,0,1,0,1,1),1/2) + 188243/182*H(R(0,0,1,1,1,1),1/2) - 2032/117*H(R(0,1,0,0,0,1),1/2) + 837667/1638*H(R(0,1,0,1,1,1),1/2) + 142537/819*H(R(0,1,1,0,1,1),1/2) - 13492/819*H(R(0,1,1,1,0,1),1/2) + 7274/273*H(R(0,1,1,1,1,1),1/2) + 4539/91*H(R(1,1,1,0,0,1),1/2) - 937295/546*H(R(1,1,1,1,1,1),1/2)); id H(R(1,1,1,0,0,1),1/2) = -42200/52283*( + 689/5275*H(R(0,0,0,0,0,1),1/2) - 151653/42200*H(R(0,0,0,0,1,1),1/2) - 468287/379800*H(R(0,0,0,1,0,1),1/2) + 224701/12660*H(R(0,0,0,1,1,1),1/2) - H(R(0,0,1,0,0,1),1/2) + 348497/63300*H(R(0,0,1,0,1,1),1/2) + 481793/15825*H(R(0,0,1,1,1,1),1/2) - 44657/94950*H(R(0,1,0,0,0,1),1/2) + 3363881/189900*H(R(0,1,0,1,1,1),1/2) + 1384207/189900*H(R(0,1,1,0,1,1),1/2) + 75722/47475*H(R(0,1,1,1,0,1),1/2) + 39007/31650*H(R(0,1,1,1,1,1),1/2) - 230983/8440*H(R(1,1,1,1,1,1),1/2)); id H(R(0,1,1,0,0,1),1/2) = + 35311/365981*H(R(0,0,0,0,0,1),1/2) - 5474647/5855696*H(R(0,0,0,0,1,1),1/2) - 1630581/5855696*H(R(0,0,0,1,0,1),1/2) + 838553/731962*H(R(0,0,0,1,1,1),1/2) - 1900039/5855696*H(R(0,0,1,0,0,1),1/2) + 95913/365981*H(R(0,0,1,0,1,1),1/2) + 97896251/5855696*H(R(0,0,1,1,1,1),1/2) - 1457409/5855696*H(R(0,1,0,0,0,1),1/2) + 51017133/5855696*H(R(0,1,0,1,1,1),1/2) + 1515965/532336*H(R(0,1,1,0,1,1),1/2) - 302691/5855696*H(R(0,1,1,1,0,1),1/2) + 263075/731962*H(R(0,1,1,1,1,1),1/2) - 9360420/365981*H(R(1,1,1,1,1,1),1/2); id H(R(0,1,0,1,0,1),1/2) = + 1417/33271*H(R(0,0,0,0,0,1),1/2) - 498319/532336*H(R(0,0,0,0,1,1),1/2) - 2770133/4791024*H(R(0,0,0,1,0,1),1/2) + 536381/199626*H(R(0,0,0,1,1,1),1/2) - 64079/532336*H(R(0,0,1,0,0,1),1/2) + 98536/99813*H(R(0,0,1,0,1,1),1/2) + 12439897/1597008*H(R(0,0,1,1,1,1),1/2) - 50033/4791024*H(R(0,1,0,0,0,1),1/2) + 17182093/4791024*H(R(0,1,0,1,1,1),1/2) + 5060639/4791024*H(R(0,1,1,0,1,1),1/2) - 1190099/4791024*H(R(0,1,1,1,0,1),1/2) - 54835/199626*H(R(0,1,1,1,1,1),1/2) - 269380/33271*H(R(1,1,1,1,1,1),1/2); id H(R(0,1,0,0,1,1),1/2) = + 21688/365981*H(R(0,0,0,0,0,1),1/2) - 4436793/1463924*H(R(0,0,0,0,1,1),1/2) + 5481121/13175316*H(R(0,0,0,1,0,1),1/2) + 2094955/1097943*H(R(0,0,0,1,1,1),1/2) + 44339/1463924*H(R(0,0,1,0,0,1),1/2) - 772193/1097943*H(R(0,0,1,0,1,1),1/2) + 47247535/4391772*H(R(0,0,1,1,1,1),1/2) - 2345843/13175316*H(R(0,1,0,0,0,1),1/2) + 69627595/13175316*H(R(0,1,0,1,1,1),1/2) + 350155/1197756*H(R(0,1,1,0,1,1),1/2) - 2753561/13175316*H(R(0,1,1,1,0,1),1/2) + 1117705/1097943*H(R(0,1,1,1,1,1),1/2) - 4421680/365981*H(R(1,1,1,1,1,1),1/2); id H(R(0,0,1,1,0,1),1/2) = - 2031/365981*H(R(0,0,0,0,0,1),1/2) + 3105197/2927848*H(R(0,0,0,0,1,1),1/2) - 10152635/8783544*H(R(0,0,0,1,0,1),1/2) + 3203510/365981*H(R(0,0,0,1,1,1),1/2) - 979315/2927848*H(R(0,0,1,0,0,1),1/2) + 1163475/365981*H(R(0,0,1,0,1,1),1/2) - 7242825/2927848*H(R(0,0,1,1,1,1),1/2) + 1399273/8783544*H(R(0,1,0,0,0,1),1/2) - 6891125/8783544*H(R(0,1,0,1,1,1),1/2) + 1014379/798504*H(R(0,1,1,0,1,1),1/2) + 2859019/8783544*H(R(0,1,1,1,0,1),1/2) - 286915/365981*H(R(0,1,1,1,1,1),1/2) + 4419480/365981*H(R(1,1,1,1,1,1),1/2); #endprocedure *--#] elimhalf : *--#[ h1basis : #procedure h1basis(H) * * Procdeure combines H-functions in one into the proper basis. * The procedure is: * 1: convert to S(R(..),inf) * 2: use the shuffle algebra in S-space. * 3: convert back. * The hbasis algorithm for x != 1 uses the triangle relation * which is not safe for two divergent objects. The shuffle algebra * relations however are safe. * J.Vermaseren 27-jul-1998 * if ( match(`H'(R(?a),1)) > 1 ); #call onetoinf(`H',Sab) #call basisn(Sab,inf) #call inftoone(Sab,`H') endif; * #endprocedure *--#] h1basis : *--#[ halfs : #procedure halfs(par) * * Writes the constants in terms of H functions of 1/2 * When par == 0 the reduction in the basis is done. * When par != 0 this step is skipped * id s7b = 2*(+7/16*z2*z3*ln2^2+47/32*z2*z5+1/2*z2*ln2*li4half +1/30*z2*ln2^5+1/2*z2*li5half+4/5*z2^2*z3-1/12*z2^2*ln2^3 -7/80*z2^3*ln2-7/96*z3*ln2^4-7/8*z3*li4half-5/8*z3^2*ln2 -1683/512*z7-ln2*li6half+1/2*ln2*s6-1/2*ln2^2*li5half -1/6*ln2^3*li4half-1/252*ln2^7-2*li7half-1/2*s7a -H(R(1,0,0,0,0,0,1),1/2)); id s7a = -2*(-1/4*z2*z3*ln2^2-31/64*z2*z5-1/120*z2*ln2^5-3/8*z2^2*z3 -1/120*z2^2*ln2^3+1/5*z2^3*ln2+1/24*z3*ln2^4+5/8*z3^2*ln2 +63/64*z5*ln2^2-123/256*z7+ln2*li6half-1/2*ln2*s6+1/1680*ln2^7 +3*li7half-H(R(0,0,0,0,0,1,1),1/2)); id s6 = -2*(+1/2*z2*z3*ln2+1/24*z2*ln2^4+1/40*z2^2*ln2^2-1/5*z2^3 -1/6*z3*ln2^3-5/8*z3^2-z5*ln2+ln2*li5half-1/240*ln2^6 +2*li6half-H(R(0,0,0,0,1,1),1/2)); id z5 = -32*(-1/2*z2*z3-1/6*z2*ln2^3-1/20*z2^2*ln2+1/2*z3*ln2^2 +ln2*li4half+1/40*ln2^5+li5half-H(R(0,0,0,1,1),1/2)); id li6half = H(R(0,0,0,0,0,1),1/2); id li5half = H(R(0,0,0,0,1),1/2); id li4half = H(R(0,0,0,1),1/2); id z3 = 4/3*ln2^3 + 8*H(R(0,1,1),1/2); id z2 = ln2^2 - 2*H(R(0,1),1/2); id ln2 = H(R(1),1/2); .sort #if `par' == 0 #call basish(H,1/2,1) #endif #endprocedure *--#] halfs : *--#[ hbasis : #procedure hbasis(H,x) * * Combines general H functions into basis elements * The equivalent of basis for the S-sums * * Step one: split off the ln_ functions * repeat id `H'(R(?a,0,n?!{0,0},?b),`x') = `H'(R(?a,n+sig_(n),?b),`x'); id ln_(nn?,`x') = ln(nn,`x'); repeat; if ( match(`H'(R(?a,0),`x')) ); id,once,`H'(R(?a,0),`x') = HH(R(?a,0),`x'); #call htolog(HH,`x') id ln_(nn?,`x') = ln(nn,`x'); id ln(n1?,`x')*ln(n2?,`x') = ln(n1+n2,`x'); id HH(?a) = `H'(?a); endif; endrepeat; id ln(nn?,`x') = ln_(nn,`x'); id `H'(R,`x') = 1; id `H'(R(?a),`x') = `H'(R(?a),`x')*yy; #$nmax = 0; id yy^n?$n = 1; if ( $n > $nmax ) $nmax = $n; .sort: hbasis, ln; #do ih = `$nmax',2,-1 if ( match(`H'(R(n1?,?a),`x')) > 1 ); id,once,`H'(R(?a),`x')*`H'(R(?b),`x') = yy*HH(R(?a),`x')*HH(R(?b),`x'); #call htos(HH,SaA,`x') Multiply replace_(sum,sum1,i,j1,sign,sign1,SaA,S1); #call htos(HH,SaA,`x') id sum(i,1,inf)*sum1(j1,1,inf)*pow(`x',i)*pow(`x',j1)* S1(R(?a),j1)*SaA(R(n1?,?b),i) = sum(i,1,inf)*pow(`x',i)* sum1(j1,1,i)*S1(R(?b),j1)*S1(R(?a),i-j1)/ j1^abs_(n1)*sign1(j1)^theta_(-n1)/[1-`x']; endif; .sort: one; #call sumtria(1,SaA) id sign(i)*pow(`x',i) = pow(-`x',i); .sort: two; if ( count(yy,1) ); id yy = 1; #call stoh(SaA,`H',`x') endif; .sort: hbasis `ih'; #enddo #$nmax = 0; if ( match(ln_(nn?,`x')) ); id ln_(nn?$n,`x') = ln_(nn,`x'); if ( $n > $nmax ) $nmax = $n; if ( match(`H'(R(?a),`x')) == 0 ) Multiply `H'(R,`x'); endif; .sort: hbasis a; #do iih = `$nmax',1,-1 if ( match(ln_(`iih',`x')) ); id `H'(R(?a),`x') = HH(R(?a),`x')+SH(R(?a),`x'); id HH(R(?a),`x')*ln_(nn?,`x') = HH(R(?a),`x')*ln_(nn,`x')*sign_(nn); repeat id HH(R(?a),`x')*ln_(nn?pos_,`x') = -HH(R(?a,0),`x')*ln_(nn-1,`x')*nn; id ln_(0,`x') = 1; id HH(?a) = `H'(?a)-HH(?a); repeat id HH(R(?a,0,n?!{0,0},?b),`x') = HH(R(?a,n+sig_(n),?b),`x'); #call htolog(HH,`x') id HH(?a) = `H'(?a); id SH(?a) = `H'(?a); endif; repeat id `H'(R(?a,n?!{-1,0,1},?b),`x') = `H'(R(?a,0,n-sig_(n),?b),`x'); .sort: delog `iih'; * #enddo * #endprocedure *--#] hbasis : *--#[ hexpa : #procedure hexpa(H,S) * * Procedure expands a general H-function (including trailing * zeroes in the indices) into an expansion in x and ln_(x) * Method: * 1: look at highest power of ln_. There we can use htos * 2: put the proper powers of ln_ with the signs and 1/k! * 3: determine how many extra weights have to be distributed * 4: make all excess weight distributions. * 5: Put the excess weights in with the combinatorics factor * which is just a binomial. * 6: Clean up. * * Routine by J.Vermaseren 13-jul-1998 * Multiply ln_(0,x); repeat id `H'(R(?a,0),x)*ln_(nn?,x) = `H'(R(?a),x)*ln_(nn+1,x); #call htos(`H',SH,x) id SH(R(?a),i)*ln_(nn?,x) = sum_(k,0,nn,sign_(nn-k)*invfac_(k)* SH(R(?a),i)*ln_(k,x)*div(nn-k,nargs_(?a)))*addarg; repeat id addarg(?a)*div(n1?,n2?pos_) = sum_(k,0,n1,addarg(?a,k)*div(n1-k,n2-1)); id div(0,0) = 1; id div(?a) = 0; id SH(R(?a),i) = SH(R(?a),i)*HS(R,i); repeat id SH(R(?a,n1?),i)*HS(R(?b),i)*addarg(?c,n2?) = SH(R(?a),i)*HS(R(n1+sig_(n1)*n2,?b),i) *binom_(abs_(n1)-1+n2,abs_(n1)-1)*addarg(?c); id SH(R,i) = 1; id addarg = 1; id HS(?a) = `S'(?a); id ln_(0,x) = 1; * #endprocedure *--#] hexpa : *--#[ hexpand : #procedure hexpand(x,fast) * * Procedure takes one H function and makes its power series * expansion. This expansion may involve powers of logarithms. * ln_(n,x) = ln_(x)^n * den(n,y) = 1/y^n * The answer will have terms of the type * sum(i,1,inf)*pow(x,i)*S(R(....),i)*ln_(k,x) * The method is by working out the integrals and sums over harmonic sums. * The central relations are: * int(y,0,x)*x^i*ln_(m,x) = sum_(k,0,m,fac_(m)*sign_(m)*fac_(k)*invfac_(k) * *x^(i+1)*ln_(k,x)*den(m+1-k,i+1)) * sum(i,1,inf)*sum(j,i,inf) = sum(j,1,inf)*sum(i,1,j) * Then we do the sum over j. Because the integral often gives j+1 * and the resulting harmonic sum goes to j, we convert that sum to j+1 * and then we convert the j so that we have sum(j,2,inf) and then * we subtract the value in 1 (which happens to be zero) to get a proper * sum again. Then we rename j into i again. * Notation: isign = sign(i) * * If fast == 0 we have a single repat and the routine can be used * inside a signle module. * If fast != 0 there are .sort instructions. This is for the case that * the routine becomes otherwise too slow. For complicated expansions! * * Routine by J.Vermaseren 11-jul-1998 * if ( match(H(R(?a),`x')) ); * * First convert to 0,1,-1 notation for the indices * repeat id H(R(?a,n?!{0,1,-1},?b),`x') = H(R(?a,0,n-sig_(n),?b),`x'); * * Put in the logs that come from when the last index/indices is/are zero. * Multiply ln_(0,`x'); repeat id H(R(?a,0),`x')*ln_(nn?,`x') = H(R(?a),`x')*ln_(nn+1,`x')/(nn+1); * * Do the (now) trailing 1 or -1. This is a special case. * Hence we do this only when there is no sum yet. * 1 -> int(`x',0,`x')*sum(i,1,inf)*pow(`x',i)/i * -1 -> -int(`x',0,`x')*sum(i,1,inf)*pow(`x',i)/i*sign(i) * Then the integral is worked out (in combination with the ln_(nn,`x')) * if ( match(sum(i,1,inf)) == 0 ); id H(R(?a,1),`x')*ln_(nn?,`x') = sum(i,1,inf)*fac_(nn)*sign_(nn)*pow(`x',i)* sum_(k,0,nn,ln_(k,`x')*sign_(k)*invfac_(k)*den(nn+1-k,i))* H(R(?a),`x')*S(R,i); endif; if ( match(sum(i,1,inf)) == 0 ); id H(R(?a,-1),`x')*ln_(nn?,`x') = -sum(i,1,inf)*fac_(nn)*sign_(nn)*pow(`x',i)* sum_(k,0,nn,ln_(k,`x')*sign_(k)*invfac_(k)*den(nn+1-k,i))*isign* H(R(?a),`x')*S(R,i); endif; #if `fast' == 0 * * Now the main recursion in a single pass. If things are not complicated * We used some deltap_ and theta_ functions to keep it all in one. * This keeps the patternmatching simpler. * repeat; id H(R(?a,n1?),`x')*ln_(nn?,`x')*sum(i,1,inf) *den(n?,i)*S(R(?b),i)*pow(`x',i)*isign^is? = +sum(i,1,inf)*pow(`x',i)*fac_(nn)*sign_(nn)*H(R(?a),`x')* sum_(k,0,nn,ln_(k,`x')*sign_(k)*invfac_(k) *(+deltap_(n1)*(-isign)^theta_(-n1)* S(R(sig_(n1)*n*sign_(is),?b),i)*den(nn+1-k,i) -sign_(theta_(-n1))*isign^is* S(R(?b),i)*den(n+nn+1-k,i))); endrepeat; * * Cleanup. We express everything purely in terms of just an S, no * denominators. This is obtained by pulling in one 1/[1-x], expand it * and exchange the sums. Work out the inner sum. Because this time * we do not integrate we get no new denominators. * id H(R,`x') = 1; id sum(i,1,inf)*pow(`x',i)*S(R(?a),i)*den(n?,i)*isign^is? = [1-`x']*sum(i,1,inf)*pow(`x',i)*S(R(sign_(is)*n,?a),i); * endif; #else * * Now the main recursion for complicated cases. * This contains a .sort ! The extra code will loop until we are * completely done. * endif; #do iii = 1,1 id H(R(?a,n1?),`x')*ln_(nn?,`x')*sum(i,1,inf) *den(n?,i)*S(R(?b),i)*pow(`x',i)*isign^is? = +sum(i,1,inf)*pow(`x',i)*fac_(nn)*sign_(nn)*H(R(?a),`x')* sum_(k,0,nn,ln_(k,`x')*sign_(k)*invfac_(k) *(+deltap_(n1)*(-isign)^theta_(-n1)* S(R(sig_(n1)*n*sign_(is),?b),i)*den(nn+1-k,i) -sign_(theta_(-n1))*isign^is* S(R(?b),i)*den(n+nn+1-k,i))); if ( match(H(R(n1?,?a),`x')) ) redefine iii "0"; .sort #enddo * * Cleanup. Same as before. * id H(R,`x') = 1; id sum(i,1,inf)*pow(`x',i)*S(R(?a),i)*den(n?,i)*isign^is? = [1-`x']*sum(i,1,inf)*pow(`x',i)*S(R(sign_(is)*n,?a),i); id ln_(0,`x') = 1; * #endif * #endprocedure *--#] hexpand : *--#[ hlog0 : #procedure hlog0(H,x,par) * * Pulls out the powers of ln_(x) * #if `par' >= 0 repeat id `H'(R(?a,n?!{-1,0,1},?b),`x') = `H'(R(?a,0,n-sig_(n),?b),`x'); #endif id `H'(R(?a,0),`x') = `H'(R(?a),1,`x'); repeat id `H'(R(?a,0),n?,`x') = `H'(R(?a),n+1,`x'); id `H'(R,n?pos_,`x') = ln_(n,`x')*invfac_(n); id `H'(R(?a),n?pos_,`x') = sum_(j,0,n,`H'(R(?a),R,j,`x')* ln_(n-j,`x')*sign_(j)*invfac_(n-j)); id ln_(0,`x') = 1; repeat id `H'(R(n1?,n2?,?a),R(?b),n?pos_,`x') = +`H'(R(n1,n2,?a),R(?b,0),n-1,`x') +`H'(R(n2,?a),R(?b,n1),n,`x'); repeat id `H'(R(n1?),R(?b),n?pos_,`x') = `H'(R(n1),R(?b,0),n-1,`x'); id `H'(R(?a),R(?b),0,`x') = `H'(R(?b,?a),`x'); #if `par' > 0 repeat id `H'(R(?a,0,n?!{0,0},?b),`x') = `H'(R(?a,n+sig_(n),?b),`x'); #endif * #endprocedure *--#] hlog0 : *--#[ hlog1 : #procedure hlog1(H,x,HL,par) * * Procedure splits off enough powers of ln_(1-`x') that the resulting * coefficients are finite in `x'=1. * We take the leading indices that are 1. * The powers of ln_(1-x) are collected in HL. * Note that the new algorithm does not use algebraic relations, * just the definition of H and partial integration. * #if `par' >= 0 repeat id `H'(R(?a,n?!{-1,0,1},?b),`x') = `H'(R(?a,0,n-sig_(n),?b),`x'); #endif repeat; id,once,`H'(R(1,?a),`x') = HHa(R(1),`x')*HHb(R(?a),R,R,`x'); repeat id HHa(R(?a),`x')*HHb(R(1,?b),R,R,`x') = HHa(R(1,?a),`x')*HHb(R(?b),R,R,`x'); id HHb(R,R,R,`x') = 1; repeat id HHa(R(1,?a),`x')*HHb(R(?b),R,R(?c),`x') = +HLa(R(1,?a),`x')*HHb(R(?b),R,R(?c),`x') -HHa(R(?a),`x')*HHb(R(?b),R,R(1,?c),`x'); id HHa(R,`x') = 1; id HHa(R(?a),`x') = HLa(R(?a),`x'); id HHb(R(n1?,?a),R,R(?c),`x') = HHb(R(?a),R(n1),R(?c),`x'); repeat id HHb(R(n1?,?a),R(?b),R(1,?c),`x') = +HHb(R(n1,?a),R(?b,1),R(?c),`x') +HHb(R(?a),R(?b,n1),R(1,?c),`x'); id HHb(R(?a),R(?b),R(?c),`x') = `H'(R(?b,?a,?c),`x'); endrepeat; repeat id HLa(R(?a),`x')*HLa(R(?b),`x') = HLa(R(?a,?b),`x')* fac_(nargs_(?a)+nargs_(?b))*invfac_(nargs_(?a))*invfac_(nargs_(?b)); id HLa(?a) = `HL'(?a); #if `par' > 0 repeat id `H'(R(?a,0,n?!{0,0},?b),`x') = `H'(R(?a,n+sig_(n),?b),`x'); #endif * #endprocedure *--#] hlog1 : *--#[ hmellin : #procedure hmellin(H,x,S,N) * * Procedure does the Mellin transform of H(R(...),x)/[1+-x] by * multiplying with int(dx,0,1)*pow(x,N) * The result is in terms of H(R(...),1) and S(RR(....),N) * * J.Vermaseren, 22-jul-1998, revised 3-nov-1999 * * First pull everything to the h-basis * #call hbasis(`H',`x') .sort:hbasis; #call hlog1(`H',`x',HL,0) .sort:hlog1; * * Next do the subtraction. * Note that the regularization of the divergencies is in general in the * upper limit of the Mellin integral which we do to the parameter `one'. * This paremeter is one = 1-ep in which ep goes to zero in the end. * Hence the algebra for H-functions in `one' is the algebra of hbasis. * This is not clearly mentioned in the paper. * if ( match(1/[1-`x']) ); if ( match(`H'(R(?a),`x')) == 0 ) Multiply `H'(R,`x'); if ( match(HL(R(?a),`x')) == 0 ) Multiply HL(R,`x'); id Mel*`H'(R(?a),`x')*HL(R(?b),`x')*`x'^n?/[1-`x'] = +Mel*pow(`x',`N')*`H'(R(?a),`x')*HL(R(?b),`x')*`x'^n/[1-`x'] -`H'(R(?a),1)*HL(R(1,?b),1); id `H'(R,1) = 1; else; id Mel = Mel*pow(`x',`N'); endif; repeat id pow(`x',n1?)*pow(`x',n2?) = pow(`x',n1+n2); Multiply replace_(HL,`H'); repeat; if ( match(`H'(R(?a),`x')) > 1 ) id,once,`H'(R,`x') = 1; endrepeat; .sort:Subtraction; #call hbasis(`H',`x') .sort:Basis; * * Eliminate powers of ln(1) * id `H'(R(?a,n?!{0,0},?b),1) = HR(R(?a,n,?b),1); id `H'(R(0,?a),1) = 0; id HR(R(?a),1) = `H'(R(?a),1); if ( count(Mel,1) && ( count([1-`x'],1) == 0 ) && ( count([1+`x'],1) == 0 ) ) Multiply 1/[1+`x']+`x'/[1+`x']; id `x'^n1?*pow(`x',n2?) = pow(`x',n1+n2); *if ( count(Mel,1) && ( count(`H',1) == 0 ) ) Multiply `H'(R,`x'); * * Now prepare the recursion * isign = sign_(i) * id Mel*pow(`x',n?)/[1-`x'] = sum(i,n,inf)*pow(`x',i)*den(0,i+1)*`S'(R,i+1); id Mel*pow(`x',n?)/[1+`x'] = sum(i,n,inf)*pow(`x',i)*isign*sign_(n)*den(0,i+1)*`S'(R,i+1); Repeat id `H'(R(?a,n1?!{0,1,-1},?b),`x') = `H'(R(?a,0,n1-sig_(n1),?b),`x'); SplitArg,sign_; repeat id sign_(n1?,n2?,?a) = sign_(n1)*sign_(n2,?a); id sign_(-N) = sign_(N); id sign_(x?)*sign_(x?) = 1; .sort:First sum; repeat; if ( match(`H'(R(0,?a),`x')) ); id `H'(R(0,?a),`x')*pow(`x',i)*sum(i,n?,inf)*den(m?,i+1)* isign^is?*`S'(R(?b),i+1) = sign_(is)*Hone(R(0,?a),one)*(Sone(R(sign_(is)*(m+1),?b),inf) -`S'(R(sign_(is)*(m+1),?b),n)) -`H'(R(?a),`x')*pow(`x',i)*sum(i,n,inf)*den(m+1,i+1) *isign^is*`S'(R(?b),i+1); ; elseif ( match(`H'(R(1,?a),`x')) ); id `H'(R(1,?a),`x')*pow(`x',i)*sum(i,n?,inf)*den(m?,i+1)* isign^is?*`S'(R(?b),i+1) = sign_(is)*Hone(R(1,?a),one)*(Sone(R(sign_(is)*(m+1),?b),inf) -`S'(R(sign_(is)*(m+1),?b),n)) -`H'(R(?a),`x')*pow(`x',i)*sum(i,n,inf)*( +den(0,i+1)*`S'(R(sign_(is)*(m+1),?b),i+1)*sign_(is) -den(m+1,i+1)*`S'(R(?b),i+1)*isign^is -den(0,i+1)*`S'(R(sign_(is)*(m+1),?b),n)*`S'(R,i+1)*sign_(is) ) ; elseif ( match(`H'(R(-1,?a),`x')) ); id `H'(R(-1,?a),`x')*pow(`x',i)*sum(i,n?,inf)*den(m?,i+1)* isign^is?*`S'(R(?b),i+1) = sign_(is)*Hone(R(-1,?a),one)*(Sone(R(sign_(is)*(m+1),?b),inf) -`S'(R(sign_(is)*(m+1),?b),n)) -`H'(R(?a),`x')*pow(`x',i)*sum(i,n,inf)*( +den(0,i+1)*`S'(R(-sign_(is)*(m+1),?b),i+1)*isign*sign_(is) +den(m+1,i+1)*`S'(R(?b),i+1)*isign^is -den(0,i+1)*`S'(R(-sign_(is)*(m+1),?b),n)* `S'(R,i+1)*isign*sign_(is) ) ; endif; endrepeat; .sort:Recursion; if ( match(`H'(R,`x')) ); id `H'(R,`x')*pow(`x',i)*sum(i,n?,inf)*`S'(R(?a),i+1)*den(m?,i+1)*isign^is? = sign_(is)*(Sone(R(sign_(is)*(m+1),?a),inf)-`S'(R(sign_(is)*(m+1),?a),n)); else; id pow(`x',i)*sum(i,n?,inf)*`S'(R(?a),i+1)*den(m?,i+1)*isign^is? = sign_(is)*(Sone(R(sign_(is)*(m+1),?a),inf)-`S'(R(sign_(is)*(m+1),?a),n)); endif; repeat id Hone(R(?a,0,n?!{0,0},?b),one) = Hone(R(?a,n+sig_(n),?b),one); id Hone(R(0,?a),one) = 0; SplitArg,sign_; repeat id sign_(n1?,n2?,?a) = sign_(n1)*sign_(n2,?a); id sign_(-N) = sign_(N); id sign_(x?)*sign_(x?) = 1; .sort:last; * * Convert the Sone to Hone. We have to use the hbasis algebra to conbine * all constants. * #call inftoh(Sone,Hone) id Hone(R(?a),1) = Hone(R(?a),one); .sort:to Hone; #call hbasis(Hone,one) .sort:to Hone basis; * * Having combined all constants, we can convert to 'traditional' notation. * id Hone(R(?a),one) = `H'(R(?a),1); .sort:inf -> 1 in `H'; #do i = 1,1 #call basisn(`S',`N') if ( match(`S'(R(?a),`N')) > 1 ) redefine i "0"; .sort:combine `N'; #enddo #endprocedure *--#] hmellin : *--#[ htable1 : #procedure htable1 #ifndef `HTABLE1FILL' #define HTABLE1FILL "1" * * Values of H(R(..),1) at weight = 1. * Constants: * Sinf = S(R(1),inf) * ln2 = ln_(2) * S Sinf,ln2; CTable,relax,Htab1(-1:1); * Fill Htab1(-1)=ln2; Fill Htab1(1)=Sinf; Fill Htab1(0)=0; #endif #endprocedure *--#] htable1 : *--#[ htable2 : #procedure htable2 #ifndef `HTABLE2FILL' #define HTABLE2FILL "1" * * Values of H(R(..),1) at weight = 2. * Constants: * Sinf = S(R(1),inf) * ln2 = ln_(2) * z2 = zeta_2 = pi_^2/6 * S Sinf,ln2,z2; CTable,relax,Htab2(-1:1,-1:1); * Fill Htab2(-1,-1)=+ 1/2*ln2^2; Fill Htab2(-1,1)=+1/2*z2-1/2*ln2^2; Fill Htab2(-1,0)=-1/2*z2; Fill Htab2(1,-1)=-1/2*z2+ln2*Sinf+1/2*ln2^2; Fill Htab2(1,1)=-1/2*z2+1/2*Sinf^2; Fill Htab2(1,0)=-z2; Fill Htab2(0,-1)=+1/2*z2; Fill Htab2(0,1)=+z2; Fill Htab2(0,0)=0; #endif #endprocedure *--#] htable2 : *--#[ htable3 : #procedure htable3 #ifndef `HTABLE3FILL' #define HTABLE3FILL "1" * * Values of H(R(..),1) at weight = 3. * Constants: * Sinf = S(R(1),inf) * ln2 = ln_(2) * z2 = zeta_2 = pi_^2/6 * z3 = zeta_3 * S Sinf,ln2,z2,z3; CTable,relax,Htab3(-1:1,-1:1,-1:1); * Fill Htab3(-1,-1,-1)=+1/6*ln2^3; Fill Htab3(-1,-1,1)=+1/8*z3-1/6*ln2^3; Fill Htab3(-1,-1,0)=-1/2*z2*ln2+1/8*z3; Fill Htab3(-1,1,-1)=+1/2*z2*ln2-1/4*z3-1/6*ln2^3; Fill Htab3(-1,1,1)=-1/2*z2*ln2+7/8*z3+1/6*ln2^3; Fill Htab3(-1,1,0)=+1/2*z2*ln2-z3; Fill Htab3(-1,0,-1)=+1/2*z2*ln2-1/4*z3; Fill Htab3(-1,0,1)=+z2*ln2-5/8*z3; Fill Htab3(-1,0,0)=+3/4*z3; Fill Htab3(1,-1,-1)=-1/2*z2*ln2+1/8*z3+1/2*ln2^2*Sinf+1/3*ln2^3; Fill Htab3(1,-1,1)=+z2*ln2+1/2*z2*Sinf-7/4*z3-1/2*ln2^2*Sinf-1/3*ln2^3; Fill Htab3(1,-1,0)=-3/2*z2*ln2-1/2*z2*Sinf+13/8*z3; Fill Htab3(1,1,-1)=-z2*ln2-1/2*z2*Sinf+7/8*z3+1/2*ln2*Sinf^2+1/2*ln2^2*Sinf +1/6*ln2^3; Fill Htab3(1,1,1)=-1/2*z2*Sinf+1/3*z3+1/6*Sinf^3; Fill Htab3(1,1,0)=-z2*Sinf+z3; Fill Htab3(1,0,-1)=+1/2*z2*Sinf-5/8*z3; Fill Htab3(1,0,1)=+z2*Sinf-2*z3; Fill Htab3(1,0,0)=+z3; Fill Htab3(0,-1,-1)=+1/8*z3; Fill Htab3(0,-1,1)=-3/2*z2*ln2+13/8*z3; Fill Htab3(0,-1,0)=-3/2*z3; Fill Htab3(0,1,-1)=+3/2*z2*ln2-z3; Fill Htab3(0,1,1)=+z3; Fill Htab3(0,1,0)=-2*z3; Fill Htab3(0,0,-1)=+3/4*z3; Fill Htab3(0,0,1)=+z3; Fill Htab3(0,0,0)=0; #endif * #endprocedure *--#] htable3 : *--#[ htable4 : #procedure htable4 #ifndef `HTABLE4FILL' #define HTABLE4FILL "1" * * Values of H(R(..),1) at weight = 4. * Constants: * Sinf = S(R(1),inf) * ln2 = ln_(2) * z2 = zeta_2 = pi_^2/6 * z3 = zeta_3 * li4half = Li(4,1/2) * S Sinf,ln2,z2,z3,li4half; CTable,relax,Htab4(-1:1,-1:1,-1:1,-1:1); * Fill Htab4(-1,-1,-1,-1)=1/24*ln2^4; Fill Htab4(-1,-1,-1,1)=1/4*z2*ln2^2+2/5*z2^2-7/8*z3*ln2-1/12*ln2^4-li4half; Fill Htab4(-1,-1,-1,0)=-1/2*z2*ln2^2-2/5*z2^2+z3*ln2+1/24*ln2^4+li4half; Fill Htab4(-1,-1,1,-1)=-3/4*z2*ln2^2-6/5*z2^2+11/4*z3*ln2+1/12*ln2^4 +3*li4half; Fill Htab4(-1,-1,1,1)=1/20*z2^2-1/8*z3*ln2+1/24*ln2^4; Fill Htab4(-1,-1,1,0)=-1/4*z2*ln2^2-7/8*z2^2+13/8*z3*ln2+1/12*ln2^4+2*li4half; Fill Htab4(-1,-1,0,-1)=z2*ln2^2+6/5*z2^2-23/8*z3*ln2-1/8*ln2^4-3*li4half; Fill Htab4(-1,-1,0,1)=1/2*z2*ln2^2+3/40*z2^2-5/8*z3*ln2; Fill Htab4(-1,-1,0,0)=1/2*z2*ln2^2+3/4*z2^2-z3*ln2-1/12*ln2^4-2*li4half; Fill Htab4(-1,1,-1,-1)=z2*ln2^2+6/5*z2^2-23/8*z3*ln2-1/6*ln2^4-3*li4half; Fill Htab4(-1,1,-1,1)=-1/4*z2*ln2^2+1/40*z2^2+1/4*z3*ln2+1/24*ln2^4; Fill Htab4(-1,1,-1,0)=1/4*z2*ln2^2+1/10*z2^2-z3*ln2; Fill Htab4(-1,1,1,-1)=-1/4*z2*ln2^2-1/8*z2^2+7/8*z3*ln2+1/24*ln2^4; Fill Htab4(-1,1,1,1)=li4half; Fill Htab4(-1,1,1,0)=-1/20*z2^2+1/8*z3*ln2-1/24*ln2^4-li4half; Fill Htab4(-1,1,0,-1)=3/4*z2*ln2^2+33/20*z2^2-13/4*z3*ln2-1/6*ln2^4-4*li4half; Fill Htab4(-1,1,0,1)=-1/4*z2*ln2^2+19/40*z2^2-1/4*z3*ln2-1/24*ln2^4-li4half; Fill Htab4(-1,1,0,0)=19/40*z2^2-3/4*z3*ln2; Fill Htab4(-1,0,-1,-1)=-3/4*z2*ln2^2-6/5*z2^2+11/4*z3*ln2+1/8*ln2^4+3*li4half; Fill Htab4(-1,0,-1,1)=-1/2*z2*ln2^2+5/4*z2^2-z3*ln2-1/6*ln2^4-4*li4half; Fill Htab4(-1,0,-1,0)=-z2*ln2^2-11/8*z2^2+2*z3*ln2+1/6*ln2^4+4*li4half; Fill Htab4(-1,0,1,-1)=1/2*z2*ln2^2-7/5*z2^2+13/8*z3*ln2+1/6*ln2^4+4*li4half; Fill Htab4(-1,0,1,1)=1/4*z2*ln2^2+1/8*z2^2+1/8*z3*ln2-1/24*ln2^4-li4half; Fill Htab4(-1,0,1,0)=-z2*ln2^2-51/40*z2^2+3/2*z3*ln2+1/6*ln2^4+4*li4half; Fill Htab4(-1,0,0,-1)=-1/8*z2^2+3/4*z3*ln2; Fill Htab4(-1,0,0,1)=1/2*z2*ln2^2+3/5*z2^2-3/4*z3*ln2-1/12*ln2^4-2*li4half; Fill Htab4(-1,0,0,0)=-7/20*z2^2; Fill Htab4(1,-1,-1,-1)=-1/2*z2*ln2^2-2/5*z2^2+z3*ln2+1/6*ln2^3*Sinf +1/6*ln2^4+li4half; Fill Htab4(1,-1,-1,1)=1/4*z2*ln2^2-1/8*z2^2+1/8*z3*Sinf-1/6*ln2^3* Sinf-1/8*ln2^4; Fill Htab4(1,-1,-1,0)=-1/2*z2*ln2*Sinf-1/2*z2*ln2^2+7/10*z2^2+1/8*z3* Sinf-1/12*ln2^4-2*li4half; Fill Htab4(1,-1,1,-1)=1/2*z2*ln2*Sinf+3/4*z2*ln2^2+9/40*z2^2-2*z3* ln2-1/4*z3*Sinf-1/6*ln2^3*Sinf-1/8*ln2^4; Fill Htab4(1,-1,1,1)=-1/2*z2*ln2*Sinf+7/8*z3*Sinf+1/6*ln2^3*Sinf-3*li4half; Fill Htab4(1,-1,1,0)=1/2*z2*ln2*Sinf+1/4*z2*ln2^2-3/8*z2^2-z3*Sinf +1/8*ln2^4+3*li4half; Fill Htab4(1,-1,0,-1)=1/2*z2*ln2*Sinf-3/4*z2*ln2^2-3/2*z2^2+21/8*z3* ln2-1/4*z3*Sinf+1/6*ln2^4+4*li4half; Fill Htab4(1,-1,0,1)=z2*ln2*Sinf-1/4*z2*ln2^2-29/40*z2^2-5/8*z3*Sinf +1/8*ln2^4+3*li4half; Fill Htab4(1,-1,0,0)=1/2*z2*ln2^2+1/5*z2^2+3/4*z3*Sinf-1/12*ln2^4-2*li4half; Fill Htab4(1,1,-1,-1)=-1/2*z2*ln2*Sinf-3/4*z2*ln2^2-1/20*z2^2+z3*ln2 +1/8*z3*Sinf+1/4*ln2^2*Sinf^2+1/3*ln2^3*Sinf+1/8*ln2^4; Fill Htab4(1,1,-1,1)=z2*ln2*Sinf+1/4*z2*ln2^2+1/4*z2*Sinf^2-1/4*z2^2 -7/4*z3*Sinf-1/4*ln2^2*Sinf^2-1/3*ln2^3*Sinf+3*li4half; Fill Htab4(1,1,-1,0)=-3/2*z2*ln2*Sinf-1/4*z2*Sinf^2+4/5*z2^2+13/8*z3* Sinf-1/8*ln2^4-3*li4half; Fill Htab4(1,1,1,-1)=-z2*ln2*Sinf-1/4*z2*ln2^2-1/4*z2*Sinf^2+1/4*z2^2 +1/3*z3*ln2+7/8*z3*Sinf+1/6*ln2*Sinf^3+1/4*ln2^2*Sinf^2+1/6*ln2^3 *Sinf-li4half; Fill Htab4(1,1,1,1)=-1/4*z2*Sinf^2+1/40*z2^2+1/3*z3*Sinf+1/24*Sinf^4; Fill Htab4(1,1,1,0)=-1/2*z2*Sinf^2+1/10*z2^2+z3*Sinf; Fill Htab4(1,1,0,-1)=-1/4*z2*ln2^2+1/4*z2*Sinf^2-3/8*z2^2+7/8*z3*ln2 -5/8*z3*Sinf+1/24*ln2^4+li4half; Fill Htab4(1,1,0,1)=1/2*z2*Sinf^2+7/10*z2^2-2*z3*Sinf; Fill Htab4(1,1,0,0)=-1/10*z2^2+z3*Sinf; Fill Htab4(1,0,-1,-1)=-3/40*z2^2+1/8*z3*Sinf; Fill Htab4(1,0,-1,1)=-3/2*z2*ln2*Sinf+3/4*z2*ln2^2+9/40*z2^2+13/8*z3* Sinf-1/8*ln2^4-3*li4half; Fill Htab4(1,0,-1,0)=17/40*z2^2-3/2*z3*Sinf; Fill Htab4(1,0,1,-1)=3/2*z2*ln2*Sinf-1/4*z2*ln2^2+1/40*z2^2-7/4*z3*ln2 -z3*Sinf+1/24*ln2^4+li4half; Fill Htab4(1,0,1,1)=-6/5*z2^2+z3*Sinf; Fill Htab4(1,0,1,0)=7/10*z2^2-2*z3*Sinf; Fill Htab4(1,0,0,-1)=-1/2*z2*ln2^2-11/10*z2^2+7/4*z3*ln2+3/4*z3*Sinf +1/12*ln2^4+2*li4half; Fill Htab4(1,0,0,1)=-1/2*z2^2+z3*Sinf; Fill Htab4(1,0,0,0)=-2/5*z2^2; Fill Htab4(0,-1,-1,-1)=1/4*z2*ln2^2+2/5*z2^2-7/8*z3*ln2-1/24*ln2^4-li4half; Fill Htab4(0,-1,-1,1)=1/4*z2*ln2^2-9/20*z2^2+1/12*ln2^4+2*li4half; Fill Htab4(0,-1,-1,0)=-1/8*z2^2; Fill Htab4(0,-1,1,-1)=-3/2*z2*ln2^2-7/20*z2^2+21/8*z3*ln2; Fill Htab4(0,-1,1,1)=-11/20*z2^2+1/8*ln2^4+3*li4half; Fill Htab4(0,-1,1,0)=z2*ln2^2+13/40*z2^2-1/6*ln2^4-4*li4half; Fill Htab4(0,-1,0,-1)=z2*ln2^2+13/8*z2^2-7/2*z3*ln2-1/6*ln2^4-4*li4half; Fill Htab4(0,-1,0,1)=3/40*z2^2; Fill Htab4(0,-1,0,0)=21/20*z2^2; Fill Htab4(0,1,-1,-1)=5/4*z2*ln2^2+7/8*z2^2-21/8*z3*ln2-1/12*ln2^4 -2*li4half; Fill Htab4(0,1,-1,1)=-3/4*z2*ln2^2+7/8*z2^2-1/8*ln2^4-3*li4half; Fill Htab4(0,1,-1,0)=-z2*ln2^2-33/40*z2^2+1/6*ln2^4+4*li4half; Fill Htab4(0,1,1,-1)=1/2*z2*ln2^2-9/20*z2^2+7/8*z3*ln2+1/24*ln2^4+li4half; Fill Htab4(0,1,1,1)=2/5*z2^2; Fill Htab4(0,1,1,0)=-1/2*z2^2; Fill Htab4(0,1,0,-1)=z2*ln2^2+71/40*z2^2-7/2*z3*ln2-1/6*ln2^4-4*li4half; Fill Htab4(0,1,0,1)=3/10*z2^2; Fill Htab4(0,1,0,0)=6/5*z2^2; Fill Htab4(0,0,-1,-1)=-1/2*z2*ln2^2-3/4*z2^2+7/4*z3*ln2+1/12*ln2^4+2*li4half; Fill Htab4(0,0,-1,1)=-1/2*z2*ln2^2-1/5*z2^2+1/12*ln2^4+2*li4half; Fill Htab4(0,0,-1,0)=-21/20*z2^2; Fill Htab4(0,0,1,-1)=-19/40*z2^2+7/4*z3*ln2; Fill Htab4(0,0,1,1)=1/10*z2^2; Fill Htab4(0,0,1,0)=-6/5*z2^2; Fill Htab4(0,0,0,-1)=7/20*z2^2; Fill Htab4(0,0,0,1)=2/5*z2^2; Fill Htab4(0,0,0,0)=0; #endif * #endprocedure *--#] htable4 : *--#[ htable5 : #procedure htable5 #ifndef `HTABLE5FILL' #define HTABLE5FILL "1" * * Values of H(R(..),1) at weight = 5. * Constants: * Sinf = S(R(1),inf) * ln2 = ln_(2) * z2 = zeta_2 = pi_^2/6 * z3 = zeta_3 * z5 = zeta_5 * li4half = Li(4,1/2) * li5half = Li(5,1/2) * S Sinf,ln2,z2,z3,z5,li4half,li5half; CTable,relax,Htab5(-1:1,-1:1,-1:1,-1:1,-1:1); * Fill Htab5(-1,-1,-1,-1,-1)=1/120*ln2^5; Fill Htab5(-1,-1,-1,-1,1)=1/6*z2*ln2^3-7/16*z3*ln2^2+z5-ln2*li4half -1/24*ln2^5-li5half; Fill Htab5(-1,-1,-1,-1,0)=-1/6*z2*ln2^3-2/5*z2^2*ln2+1/2*z3*ln2^2+z5 +1/120*ln2^5-li5half; Fill Htab5(-1,-1,-1,1,-1)=-5/12*z2*ln2^3+2/5*z2^2*ln2+7/8*z3*ln2^2-4* z5+3*ln2*li4half+1/12*ln2^5+4*li5half; Fill Htab5(-1,-1,-1,1,1)=-1/2*z2*z3-1/12*z2*ln2^3-2/5*z2^2*ln2+7/16* z3*ln2^2+63/32*z5+1/60*ln2^5-li5half; Fill Htab5(-1,-1,-1,1,0)=7/16*z2*z3-1/3*z2*ln2^3+2/5*z2^2*ln2+13/16* z3*ln2^2-39/8*z5+3*ln2*li4half+11/120*ln2^5+4*li5half; Fill Htab5(-1,-1,-1,0,-1)=1/6*z2*ln2^3+6/5*z2^2*ln2-z3*ln2^2-4*z5+ ln2*li4half+1/120*ln2^5+4*li5half; Fill Htab5(-1,-1,-1,0,1)=7/16*z2*z3+1/3*z2*ln2^3+3/40*z2^2*ln2-3/4* z3*ln2^2+1/8*z5-ln2*li4half-1/30*ln2^5-li5half; Fill Htab5(-1,-1,-1,0,0)=-1/2*z2*z3+1/6*z2*ln2^3+3/4*z2^2*ln2-1/2*z3* ln2^2-33/32*z5-1/60*ln2^5+2*li5half; Fill Htab5(-1,-1,1,-1,-1)=1/4*z2*ln2^3-6/5*z2^2*ln2+1/16*z3*ln2^2+6* z5-3*ln2*li4half-1/12*ln2^5-6*li5half; Fill Htab5(-1,-1,1,-1,1)=3/2*z2*z3+1/4*z2*ln2^3+6/5*z2^2*ln2-11/8*z3 *ln2^2-375/64*z5-1/60*ln2^5+3*li5half; Fill Htab5(-1,-1,1,-1,0)=-11/8*z2*z3+5/12*z2*ln2^3-7/8*z2^2*ln2-1/2* z3*ln2^2+247/32*z5-3*ln2*li4half-1/12*ln2^5-5*li5half; Fill Htab5(-1,-1,1,1,-1)=1/20*z2^2*ln2-1/16*z3*ln2^2-3/64*z5+1/120* ln2^5; Fill Htab5(-1,-1,1,1,1)=-1/2*z2*z3-1/6*z2*ln2^3-1/20*z2^2*ln2+1/2*z3* ln2^2+1/32*z5+ln2*li4half+1/40*ln2^5+li5half; Fill Htab5(-1,-1,1,1,0)=1/16*z2*z3-1/4*z2*ln2^3+7/8*z2^2*ln2+1/16*z3 *ln2^2-277/64*z5+2*ln2*li4half+1/20*ln2^5+4*li5half; Fill Htab5(-1,-1,1,0,-1)=1/16*z2*z3+1/3*z2*ln2^3-6/5*z2^2*ln2-5/16* z3*ln2^2+221/32*z5-4*ln2*li4half-13/120*ln2^5-7*li5half; Fill Htab5(-1,-1,1,0,1)=23/16*z2*z3+1/2*z2*ln2^3-3/40*z2^2*ln2-23/16 *z3*ln2^2+85/64*z5-4*ln2*li4half-2/15*ln2^5-4*li5half; Fill Htab5(-1,-1,1,0,0)=-13/16*z2*z3+1/6*z2*ln2^3-3/4*z2^2*ln2-3/8*z3 *ln2^2+47/8*z5-2*ln2*li4half-1/20*ln2^5-4*li5half; Fill Htab5(-1,-1,0,-1,-1)=1/4*z2*ln2^3-6/5*z2^2*ln2+1/16*z3*ln2^2+6* z5-3*ln2*li4half-3/40*ln2^5-6*li5half; Fill Htab5(-1,-1,0,-1,1)=-21/16*z2*z3-1/2*z2*ln2^3-1/40*z2^2*ln2+13/ 16*z3*ln2^2+87/32*z5-ln2*li4half-1/24*ln2^5; Fill Htab5(-1,-1,0,-1,0)=23/16*z2*z3-1/3*z2*ln2^3-11/8*z2^2*ln2+z3* ln2^2+73/64*z5+1/30*ln2^5-4*li5half; Fill Htab5(-1,-1,0,1,-1)=-1/8*z2^2*ln2+13/16*z3*ln2^2-99/32*z5+4*ln2* li4half+17/120*ln2^5+3*li5half; Fill Htab5(-1,-1,0,1,1)=1/12*z2*ln2^3+1/8*z2^2*ln2+1/16*z3*ln2^2-25/ 32*z5-1/120*ln2^5+li5half; Fill Htab5(-1,-1,0,1,0)=5/16*z2*z3-1/3*z2*ln2^3-51/40*z2^2*ln2+3/4* z3*ln2^2+103/32*z5+1/30*ln2^5-4*li5half; Fill Htab5(-1,-1,0,0,-1)=1/16*z2*z3+1/3*z2*ln2^3-1/8*z2^2*ln2-1/2*z3 *ln2^2+125/64*z5-2*ln2*li4half-1/15*ln2^5-2*li5half; Fill Htab5(-1,-1,0,0,1)=-3/4*z2*z3-1/6*z2*ln2^3+3/5*z2^2*ln2+1/2*z3* ln2^2-39/16*z5+2*ln2*li4half+1/20*ln2^5+4*li5half; Fill Htab5(-1,-1,0,0,0)=1/2*z2*z3-7/20*z2^2*ln2-29/32*z5; Fill Htab5(-1,1,-1,-1,-1)=1/6*z2*ln2^3+6/5*z2^2*ln2-z3*ln2^2-4*z5+ ln2*li4half+4*li5half; Fill Htab5(-1,1,-1,-1,1)=-23/16*z2*z3-1/3*z2*ln2^3-6/5*z2^2*ln2+23/16 *z3*ln2^2+369/64*z5+1/30*ln2^5-3*li5half; Fill Htab5(-1,1,-1,-1,0)=3/2*z2*z3-1/12*z2*ln2^3+1/10*z2^2*ln2-1/16* z3*ln2^2-125/32*z5+ln2*li4half+1/30*ln2^5+li5half; Fill Htab5(-1,1,-1,1,-1)=-1/8*z2*z3-1/12*z2*ln2^3+1/40*z2^2*ln2+1/8* z3*ln2^2+3/16*z5+1/120*ln2^5; Fill Htab5(-1,1,-1,1,1)=23/16*z2*z3+7/12*z2*ln2^3-1/40*z2^2*ln2-23/ 16*z3*ln2^2+23/64*z5-3*ln2*li4half-13/120*ln2^5-3*li5half; Fill Htab5(-1,1,-1,1,0)=-5/8*z2*z3-1/12*z2*ln2^3-1/10*z2^2*ln2+1/2*z3 *ln2^2+z5; Fill Htab5(-1,1,-1,0,-1)=-1/4*z2*z3-5/12*z2*ln2^3+33/20*z2^2*ln2+1/8* z3*ln2^2-61/8*z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(-1,1,-1,0,1)=-15/8*z2*z3-3/4*z2*ln2^3+19/40*z2^2*ln2+13/8* z3*ln2^2-101/64*z5+4*ln2*li4half+1/8*ln2^5+5*li5half; Fill Htab5(-1,1,-1,0,0)=7/8*z2*z3+19/40*z2^2*ln2-3/8*z3*ln2^2-15/8* z5; Fill Htab5(-1,1,1,-1,-1)=1/16*z2*z3-1/12*z2*ln2^3-1/8*z2^2*ln2+7/16* z3*ln2^2-3/64*z5+1/120*ln2^5; Fill Htab5(-1,1,1,-1,1)=-7/8*z2*z3-5/12*z2*ln2^3+1/8*z2^2*ln2+7/8*z3* ln2^2-81/64*z5+3*ln2*li4half+11/120*ln2^5+3*li5half; Fill Htab5(-1,1,1,-1,0)=3/8*z2*z3+1/3*z2*ln2^3-1/20*z2^2*ln2-13/16* z3*ln2^2+33/64*z5-2*ln2*li4half-3/40*ln2^5-li5half; Fill Htab5(-1,1,1,1,-1)=7/16*z2*z3+1/6*z2*ln2^3-7/16*z3*ln2^2+27/32* z5-ln2*li4half-1/30*ln2^5-2*li5half; Fill Htab5(-1,1,1,1,1)=li5half; Fill Htab5(-1,1,1,1,0)=1/2*z2*z3+1/6*z2*ln2^3+1/20*z2^2*ln2-1/2*z3* ln2^2-1/32*z5-ln2*li4half-1/40*ln2^5-2*li5half; Fill Htab5(-1,1,1,0,-1)=1/8*z2*z3+1/4*z2*ln2^3-33/20*z2^2*ln2+5/16* z3*ln2^2+457/64*z5-3*ln2*li4half-1/15*ln2^5-7*li5half; Fill Htab5(-1,1,1,0,1)=-9/16*z2*z3-5/12*z2*ln2^3-19/40*z2^2*ln2+23/16 *z3*ln2^2-23/64*z5+3*ln2*li4half+13/120*ln2^5+2*li5half; Fill Htab5(-1,1,1,0,0)=7/16*z2*z3+1/3*z2*ln2^3-19/40*z2^2*ln2-1/2*z3 *ln2^2+151/64*z5-2*ln2*li4half-1/15*ln2^5-2*li5half; Fill Htab5(-1,1,0,-1,-1)=1/16*z2*z3+1/4*z2*ln2^3+6/5*z2^2*ln2-11/8* z3*ln2^2-99/32*z5-1/40*ln2^5+3*li5half; Fill Htab5(-1,1,0,-1,1)=-1/2*z2*z3+2/3*z2*ln2^3-27/8*z2^2*ln2+1/2*z3* ln2^2+911/64*z5-4*ln2*li4half-7/120*ln2^5-13*li5half; Fill Htab5(-1,1,0,-1,0)=7/8*z2*z3-1/3*z2*ln2^3+11/8*z2^2*ln2+3/4*z3* ln2^2-331/32*z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(-1,1,0,1,-1)=-1/2*z2*z3-7/6*z2*ln2^3+141/40*z2^2*ln2+1/2* z3*ln2^2-245/16*z5+7*ln2*li4half+19/120*ln2^5+16*li5half; Fill Htab5(-1,1,0,1,1)=11/8*z2*z3+5/12*z2*ln2^3-1/8*z2^2*ln2-11/8*z3 *ln2^2+81/64*z5-3*ln2*li4half-11/120*ln2^5-4*li5half; Fill Htab5(-1,1,0,1,0)=-7/8*z2*z3-1/3*z2*ln2^3+51/40*z2^2*ln2+z3* ln2^2-227/32*z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(-1,1,0,0,-1)=-1/8*z2*z3+1/8*z2^2*ln2-3/8*z3*ln2^2+15/32*z5 ; Fill Htab5(-1,1,0,0,1)=-11/8*z2*z3-1/6*z2*ln2^3-3/5*z2^2*ln2+3/8*z3* ln2^2+311/64*z5+1/60*ln2^5-2*li5half; Fill Htab5(-1,1,0,0,0)=3/8*z2*z3+7/20*z2^2*ln2-2*z5; Fill Htab5(-1,0,-1,-1,-1)=-5/12*z2*ln2^3+2/5*z2^2*ln2+7/8*z3*ln2^2-4* z5+3*ln2*li4half+11/120*ln2^5+4*li5half; Fill Htab5(-1,0,-1,-1,1)=21/16*z2*z3+2/3*z2*ln2^3-1/2*z2^2*ln2-21/16 *z3*ln2^2+35/32*z5-ln2*li4half-1/120*ln2^5-4*li5half; Fill Htab5(-1,0,-1,-1,0)=-11/8*z2*z3-1/8*z2^2*ln2+177/64*z5; Fill Htab5(-1,0,-1,1,-1)=-5/6*z2*ln2^3+23/10*z2^2*ln2-61/8*z5-1/15* ln2^5+8*li5half; Fill Htab5(-1,0,-1,1,1)=-21/16*z2*z3-1/4*z2*ln2^3-77/40*z2^2*ln2+21/ 16*z3*ln2^2+61/8*z5+2*ln2*li4half+2/15*ln2^5-6*li5half; Fill Htab5(-1,0,-1,1,0)=1/2*z2*z3+1/3*z2*ln2^3+119/40*z2^2*ln2-507/ 32*z5+4*ln2*li4half+1/30*ln2^5+16*li5half; Fill Htab5(-1,0,-1,0,-1)=-1/8*z2*z3-1/3*z2*ln2^3+13/8*z2^2*ln2-125/16 *z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(-1,0,-1,0,1)=3/2*z2*z3+2/3*z2*ln2^3+3/40*z2^2*ln2-7/4*z3* ln2^2+33/32*z5-4*ln2*li4half-2/15*ln2^5-4*li5half; Fill Htab5(-1,0,-1,0,0)=-z2*z3+21/20*z2^2*ln2+41/32*z5; Fill Htab5(-1,0,1,-1,-1)=2/3*z2*ln2^3-69/40*z2^2*ln2+221/32*z5-2*ln2 *li4half-1/40*ln2^5-7*li5half; Fill Htab5(-1,0,1,-1,1)=21/16*z2*z3-7/12*z2*ln2^3+141/40*z2^2*ln2-21/ 16*z3*ln2^2-845/64*z5-11/120*ln2^5+11*li5half; Fill Htab5(-1,0,1,-1,0)=-13/16*z2*z3-1/3*z2*ln2^3-139/40*z2^2*ln2+547/ 32*z5-4*ln2*li4half-1/30*ln2^5-16*li5half; Fill Htab5(-1,0,1,1,-1)=11/12*z2*ln2^3-69/40*z2^2*ln2+457/64*z5-3* ln2*li4half-1/15*ln2^5-7*li5half; Fill Htab5(-1,0,1,1,1)=-7/16*z2*z3-1/6*z2*ln2^3+2/5*z2^2*ln2+7/16*z3* ln2^2-27/32*z5+ln2*li4half+1/30*ln2^5+li5half; Fill Htab5(-1,0,1,1,0)=-1/16*z2*z3-1/2*z2^2*ln2+53/64*z5; Fill Htab5(-1,0,1,0,-1)=-5/16*z2*z3-1/3*z2*ln2^3+71/40*z2^2*ln2-123/ 16*z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(-1,0,1,0,1)=9/8*z2*z3+2/3*z2*ln2^3+3/10*z2^2*ln2-7/4*z3* ln2^2+89/64*z5-4*ln2*li4half-2/15*ln2^5-4*li5half; Fill Htab5(-1,0,1,0,0)=-3/4*z2*z3+6/5*z2^2*ln2+21/32*z5; Fill Htab5(-1,0,0,-1,-1)=-1/6*z2*ln2^3-3/4*z2^2*ln2+7/8*z3*ln2^2+125/ 64*z5+1/60*ln2^5-2*li5half; Fill Htab5(-1,0,0,-1,1)=-1/3*z2*ln2^3-27/40*z2^2*ln2+27/8*z5+1/30* ln2^5-4*li5half; Fill Htab5(-1,0,0,-1,0)=-3/8*z2*z3-21/20*z2^2*ln2+51/32*z5; Fill Htab5(-1,0,0,1,-1)=1/2*z2*ln2^3+15/32*z5-2*ln2*li4half-1/12* ln2^5; Fill Htab5(-1,0,0,1,1)=-7/8*z2*z3-1/3*z2*ln2^3+1/10*z2^2*ln2+7/8*z3* ln2^2-15/32*z5+2*ln2*li4half+1/15*ln2^5+2*li5half; Fill Htab5(-1,0,0,1,0)=3/8*z2*z3-6/5*z2^2*ln2+11/32*z5; Fill Htab5(-1,0,0,0,-1)=3/8*z2*z3+7/20*z2^2*ln2-17/16*z5; Fill Htab5(-1,0,0,0,1)=3/4*z2*z3+2/5*z2^2*ln2-59/32*z5; Fill Htab5(-1,0,0,0,0)=15/16*z5; Fill Htab5(1,-1,-1,-1,-1)=-1/6*z2*ln2^3-2/5*z2^2*ln2+1/2*z3*ln2^2+z5 +1/24*ln2^4*Sinf+1/24*ln2^5-li5half; Fill Htab5(1,-1,-1,-1,1)=15/16*z2*z3+1/4*z2*ln2^2*Sinf+1/4*z2*ln2^3+ 4/5*z2^2*ln2+2/5*z2^2*Sinf-7/8*z3*ln2*Sinf-15/16*z3*ln2^2-123/32*z5 -1/12*ln2^4*Sinf-1/20*ln2^5-Sinf*li4half+2*li5half; Fill Htab5(1,-1,-1,-1,0)=-z2*z3-1/2*z2*ln2^2*Sinf-1/3*z2*ln2^3+3/10* z2^2*ln2-2/5*z2^2*Sinf+z3*ln2*Sinf+1/2*z3*ln2^2+15/16*z5+1/24* ln2^4*Sinf-1/120*ln2^5+Sinf*li4half+li5half; Fill Htab5(1,-1,-1,1,-1)=-11/8*z2*z3-3/4*z2*ln2^2*Sinf-1/6*z2*ln2^3- 53/40*z2^2*ln2-6/5*z2^2*Sinf+11/4*z3*ln2*Sinf+11/8*z3*ln2^2+369/64* z5+1/12*ln2^4*Sinf-1/120*ln2^5+3*Sinf*li4half-3*li5half; Fill Htab5(1,-1,-1,1,1)=1/16*z2*z3-1/12*z2*ln2^3+7/40*z2^2*ln2+1/20* z2^2*Sinf-1/8*z3*ln2*Sinf-1/16*z3*ln2^2-29/64*z5+1/24*ln2^4*Sinf+ 1/30*ln2^5; Fill Htab5(1,-1,-1,1,0)=-15/16*z2*z3-1/4*z2*ln2^2*Sinf+1/12*z2*ln2^3- 63/40*z2^2*ln2-7/8*z2^2*Sinf+13/8*z3*ln2*Sinf+13/16*z3*ln2^2+405/64 *z5+1/12*ln2^4*Sinf+1/30*ln2^5+2*Sinf*li4half-4*li5half; Fill Htab5(1,-1,-1,0,-1)=3/2*z2*z3+z2*ln2^2*Sinf+7/12*z2*ln2^3-3/10* z2^2*ln2+6/5*z2^2*Sinf-23/8*z3*ln2*Sinf-23/16*z3*ln2^2+35/32*z5-3 *ln2*li4half-1/8*ln2^4*Sinf-11/120*ln2^5-3*Sinf*li4half-4*li5half; Fill Htab5(1,-1,-1,0,1)=7/16*z2*z3+1/2*z2*ln2^2*Sinf+1/12*z2*ln2^3- 13/20*z2^2*ln2+3/40*z2^2*Sinf-5/8*z3*ln2*Sinf-5/16*z3*ln2^2+29/16* z5+1/40*ln2^5-3*li5half; Fill Htab5(1,-1,-1,0,0)=3/8*z2*z3+1/2*z2*ln2^2*Sinf+1/3*z2*ln2^3+19/ 20*z2^2*ln2+3/4*z2^2*Sinf-z3*ln2*Sinf-1/2*z3*ln2^2-153/32*z5-1/12 *ln2^4*Sinf-1/30*ln2^5-2*Sinf*li4half+4*li5half; Fill Htab5(1,-1,1,-1,-1)=23/16*z2*z3+z2*ln2^2*Sinf+7/12*z2*ln2^3+57/ 40*z2^2*ln2+6/5*z2^2*Sinf-23/8*z3*ln2*Sinf-39/16*z3*ln2^2-375/64*z5 -1/6*ln2^4*Sinf-7/120*ln2^5-3*Sinf*li4half+3*li5half; Fill Htab5(1,-1,1,-1,1)=-9/8*z2*z3-1/4*z2*ln2^2*Sinf-1/3*z2*ln2^3-1/5 *z2^2*ln2+1/40*z2^2*Sinf+1/4*z3*ln2*Sinf+9/8*z3*ln2^2+29/16*z5+1/ 24*ln2^4*Sinf+1/30*ln2^5; Fill Htab5(1,-1,1,-1,0)=7/4*z2*z3+1/4*z2*ln2^2*Sinf+1/6*z2*ln2^3-11/ 40*z2^2*ln2+1/10*z2^2*Sinf-z3*ln2*Sinf-1/2*z3*ln2^2-29/64*z5+1/40 *ln2^5-3*li5half; Fill Htab5(1,-1,1,1,-1)=-7/16*z2*z3-1/4*z2*ln2^2*Sinf-1/12*z2*ln2^3-1/ 8*z2^2*ln2-1/8*z2^2*Sinf+7/8*z3*ln2*Sinf+7/16*z3*ln2^2-81/64*z5+1/ 24*ln2^4*Sinf+1/120*ln2^5+3*li5half; Fill Htab5(1,-1,1,1,1)=Sinf*li4half-4*li5half; Fill Htab5(1,-1,1,1,0)=-15/16*z2*z3-1/12*z2*ln2^3+13/40*z2^2*ln2-1/20 *z2^2*Sinf+1/8*z3*ln2*Sinf+1/16*z3*ln2^2+29/64*z5-1/24*ln2^4*Sinf -1/30*ln2^5-Sinf*li4half+4*li5half; Fill Htab5(1,-1,1,0,-1)=3/4*z2*z3+3/4*z2*ln2^2*Sinf+63/20*z2^2*ln2+ 33/20*z2^2*Sinf-13/4*z3*ln2*Sinf-13/8*z3*ln2^2-845/64*z5+3*ln2* li4half-1/6*ln2^4*Sinf+1/30*ln2^5-4*Sinf*li4half+11*li5half; Fill Htab5(1,-1,1,0,1)=-13/8*z2*z3-1/4*z2*ln2^2*Sinf+6/5*z2^2*ln2+19/ 40*z2^2*Sinf-1/4*z3*ln2*Sinf-1/8*z3*ln2^2-29/16*z5-1/24*ln2^4*Sinf -1/30*ln2^5-Sinf*li4half+4*li5half; Fill Htab5(1,-1,1,0,0)=11/8*z2*z3-1/6*z2*ln2^3+11/40*z2^2*ln2+19/40* z2^2*Sinf-3/4*z3*ln2*Sinf-3/8*z3*ln2^2-159/64*z5+1/60*ln2^5-2* li5half; Fill Htab5(1,-1,0,-1,-1)=-11/8*z2*z3-3/4*z2*ln2^2*Sinf-3/4*z2*ln2^3- 51/40*z2^2*ln2-6/5*z2^2*Sinf+11/4*z3*ln2*Sinf+43/16*z3*ln2^2+87/32* z5+3*ln2*li4half+1/8*ln2^4*Sinf+1/8*ln2^5+3*Sinf*li4half; Fill Htab5(1,-1,0,-1,1)=29/16*z2*z3-1/2*z2*ln2^2*Sinf+5/12*z2*ln2^3+ 37/10*z2^2*ln2+5/4*z2^2*Sinf-z3*ln2*Sinf-29/16*z3*ln2^2-521/32*z5 -1/6*ln2^4*Sinf-7/60*ln2^5-4*Sinf*li4half+14*li5half; Fill Htab5(1,-1,0,-1,0)=-33/16*z2*z3-z2*ln2^2*Sinf-1/3*z2*ln2^3-19/20 *z2^2*ln2-11/8*z2^2*Sinf+2*z3*ln2*Sinf+z3*ln2^2+129/16*z5+1/6* ln2^4*Sinf+1/30*ln2^5+4*Sinf*li4half-4*li5half; Fill Htab5(1,-1,0,1,-1)=-13/16*z2*z3+1/2*z2*ln2^2*Sinf-1/12*z2*ln2^3- 18/5*z2^2*ln2-7/5*z2^2*Sinf+13/8*z3*ln2*Sinf+13/16*z3*ln2^2+911/64* z5-ln2*li4half+1/6*ln2^4*Sinf+1/15*ln2^5+4*Sinf*li4half-13* li5half; Fill Htab5(1,-1,0,1,1)=-1/16*z2*z3+1/4*z2*ln2^2*Sinf+1/12*z2*ln2^3-43/ 40*z2^2*ln2+1/8*z2^2*Sinf+1/8*z3*ln2*Sinf+1/16*z3*ln2^2+81/64*z5- 1/24*ln2^4*Sinf-1/120*ln2^5-Sinf*li4half+li5half; Fill Htab5(1,-1,0,1,0)=-1/8*z2*z3-z2*ln2^2*Sinf-1/3*z2*ln2^3-23/40* z2^2*ln2-51/40*z2^2*Sinf+3/2*z3*ln2*Sinf+3/4*z3*ln2^2+259/64*z5+1/ 6*ln2^4*Sinf+1/30*ln2^5+4*Sinf*li4half-4*li5half; Fill Htab5(1,-1,0,0,-1)=7/16*z2*z3+1/6*z2*ln2^3-49/40*z2^2*ln2-1/8* z2^2*Sinf+3/4*z3*ln2*Sinf+3/8*z3*ln2^2+27/8*z5-2*ln2*li4half-1/20 *ln2^5-4*li5half; Fill Htab5(1,-1,0,0,1)=2*z2*z3+1/2*z2*ln2^2*Sinf+1/6*z2*ln2^3+1/10* z2^2*ln2+3/5*z2^2*Sinf-3/4*z3*ln2*Sinf-3/8*z3*ln2^2-85/16*z5-1/12 *ln2^4*Sinf-1/60*ln2^5-2*Sinf*li4half+2*li5half; Fill Htab5(1,-1,0,0,0)=-3/4*z2*z3-3/4*z2^2*ln2-7/20*z2^2*Sinf+91/32* z5; Fill Htab5(1,1,-1,-1,-1)=-1/2*z2*z3-1/2*z2*ln2^2*Sinf-5/12*z2*ln2^3-9/ 20*z2^2*ln2-2/5*z2^2*Sinf+z3*ln2*Sinf+z3*ln2^2+63/32*z5+1/12* ln2^3*Sinf^2+1/6*ln2^4*Sinf+7/120*ln2^5+Sinf*li4half-li5half; Fill Htab5(1,1,-1,-1,1)=7/16*z2*z3+1/4*z2*ln2^2*Sinf+1/3*z2*ln2^3-3/ 40*z2^2*ln2-1/8*z2^2*Sinf-1/2*z3*ln2^2+1/16*z3*Sinf^2-29/64*z5-1/ 12*ln2^3*Sinf^2-1/8*ln2^4*Sinf-1/20*ln2^5; Fill Htab5(1,1,-1,-1,0)=-11/16*z2*z3-1/4*z2*ln2*Sinf^2-1/2*z2*ln2^2* Sinf-1/6*z2*ln2^3+3/2*z2^2*ln2+7/10*z2^2*Sinf+1/16*z3*Sinf^2-123/ 32*z5-1/12*ln2^4*Sinf-1/24*ln2^5-2*Sinf*li4half+5*li5half; Fill Htab5(1,1,-1,1,-1)=9/8*z2*z3+1/4*z2*ln2*Sinf^2+3/4*z2*ln2^2*Sinf +1/3*z2*ln2^3-1/40*z2^2*ln2+9/40*z2^2*Sinf-2*z3*ln2*Sinf-z3*ln2^2 -1/8*z3*Sinf^2+23/64*z5-1/12*ln2^3*Sinf^2-1/8*ln2^4*Sinf-1/40* ln2^5-3*li5half; Fill Htab5(1,1,-1,1,1)=-7/16*z2*z3-1/4*z2*ln2*Sinf^2-1/12*z2*ln2^3+1/ 4*z2^2*ln2+7/16*z3*Sinf^2+1/12*ln2^3*Sinf^2-3*Sinf*li4half+6* li5half; Fill Htab5(1,1,-1,1,0)=9/4*z2*z3+1/4*z2*ln2*Sinf^2+1/4*z2*ln2^2*Sinf +1/12*z2*ln2^3-47/40*z2^2*ln2-3/8*z2^2*Sinf-1/2*z3*Sinf^2+29/64* z5+1/8*ln2^4*Sinf+1/20*ln2^5+3*Sinf*li4half-6*li5half; Fill Htab5(1,1,-1,0,-1)=-3/4*z2*z3+1/4*z2*ln2*Sinf^2-3/4*z2*ln2^2*Sinf -1/6*z2*ln2^3-15/8*z2^2*ln2-3/2*z2^2*Sinf+21/8*z3*ln2*Sinf+21/16* z3*ln2^2-1/8*z3*Sinf^2+61/8*z5-ln2*li4half+1/6*ln2^4*Sinf+1/120* ln2^5+4*Sinf*li4half-6*li5half; Fill Htab5(1,1,-1,0,1)=19/16*z2*z3+1/2*z2*ln2*Sinf^2-1/4*z2*ln2^2*Sinf -1/12*z2*ln2^3-1/40*z2^2*ln2-29/40*z2^2*Sinf-5/16*z3*Sinf^2-23/64 *z5+1/8*ln2^4*Sinf+1/40*ln2^5+3*Sinf*li4half-3*li5half; Fill Htab5(1,1,-1,0,0)=-2*z2*z3+1/2*z2*ln2^2*Sinf+1/6*z2*ln2^3+1/10* z2^2*ln2+1/5*z2^2*Sinf+3/8*z3*Sinf^2+15/8*z5-1/12*ln2^4*Sinf-1/60 *ln2^5-2*Sinf*li4half+2*li5half; Fill Htab5(1,1,1,-1,-1)=-9/16*z2*z3-1/4*z2*ln2*Sinf^2-3/4*z2*ln2^2*Sinf -1/3*z2*ln2^3+1/5*z2^2*ln2-1/20*z2^2*Sinf+z3*ln2*Sinf+2/3*z3* ln2^2+1/16*z3*Sinf^2+1/32*z5+1/12*ln2^2*Sinf^3+1/6*ln2^3*Sinf^2+1/ 8*ln2^4*Sinf+1/40*ln2^5+li5half; Fill Htab5(1,1,1,-1,1)=25/24*z2*z3+1/2*z2*ln2*Sinf^2+1/4*z2*ln2^2*Sinf +1/6*z2*ln2^3+1/12*z2*Sinf^3-1/2*z2^2*ln2-1/4*z2^2*Sinf-1/6*z3* ln2^2-7/8*z3*Sinf^2-1/12*ln2^2*Sinf^3-1/6*ln2^3*Sinf^2+3*Sinf* li4half-4*li5half; Fill Htab5(1,1,1,-1,0)=-89/48*z2*z3-3/4*z2*ln2*Sinf^2-1/12*z2*Sinf^3+ 9/10*z2^2*ln2+4/5*z2^2*Sinf+13/16*z3*Sinf^2-1/32*z5-1/8*ln2^4*Sinf -1/40*ln2^5-3*Sinf*li4half+3*li5half; Fill Htab5(1,1,1,1,-1)=-29/48*z2*z3-1/2*z2*ln2*Sinf^2-1/4*z2*ln2^2*Sinf -1/12*z2*ln2^3-1/12*z2*Sinf^3+11/40*z2^2*ln2+1/4*z2^2*Sinf+1/3*z3 *ln2*Sinf+1/6*z3*ln2^2+7/16*z3*Sinf^2+1/24*ln2*Sinf^4+1/12*ln2^2* Sinf^3+1/12*ln2^3*Sinf^2-Sinf*li4half+li5half; Fill Htab5(1,1,1,1,1)=-1/6*z2*z3-1/12*z2*Sinf^3+1/40*z2^2*Sinf+1/6*z3 *Sinf^2+1/5*z5+1/120*Sinf^5; Fill Htab5(1,1,1,1,0)=-5/6*z2*z3-1/6*z2*Sinf^3+1/10*z2^2*Sinf+1/2*z3* Sinf^2+z5; Fill Htab5(1,1,1,0,-1)=1/24*z2*z3-1/4*z2*ln2^2*Sinf-1/6*z2*ln2^3+1/ 12*z2*Sinf^3-3/8*z2^2*Sinf+7/8*z3*ln2*Sinf+7/16*z3*ln2^2-5/16*z3* Sinf^2-27/32*z5+ln2*li4half+1/24*ln2^4*Sinf+1/30*ln2^5+Sinf* li4half+li5half; Fill Htab5(1,1,1,0,1)=4/3*z2*z3+1/6*z2*Sinf^3+7/10*z2^2*Sinf-z3* Sinf^2-4*z5; Fill Htab5(1,1,1,0,0)=-3/2*z2*z3-1/10*z2^2*Sinf+1/2*z3*Sinf^2+2*z5; Fill Htab5(1,1,0,-1,-1)=-1/16*z2*z3-1/6*z2*ln2^3-3/40*z2^2*Sinf+7/16* z3*ln2^2+1/16*z3*Sinf^2-25/32*z5+ln2*li4half+1/30*ln2^5+li5half; Fill Htab5(1,1,0,-1,1)=-3/8*z2*z3-3/4*z2*ln2*Sinf^2+3/4*z2*ln2^2*Sinf +1/12*z2*ln2^3-13/40*z2^2*ln2+9/40*z2^2*Sinf-7/16*z3*ln2^2+13/16* z3*Sinf^2+81/64*z5-1/8*ln2^4*Sinf-1/120*ln2^5-3*Sinf*li4half+ li5half; Fill Htab5(1,1,0,-1,0)=15/16*z2*z3+17/40*z2^2*Sinf-3/4*z3*Sinf^2-41/ 32*z5; Fill Htab5(1,1,0,1,-1)=11/8*z2*z3+3/4*z2*ln2*Sinf^2-1/4*z2*ln2^2*Sinf +5/12*z2*ln2^3+13/40*z2^2*ln2+1/40*z2^2*Sinf-7/4*z3*ln2*Sinf-7/8* z3*ln2^2-1/2*z3*Sinf^2+81/64*z5-3*ln2*li4half+1/24*ln2^4*Sinf-11/ 120*ln2^5+Sinf*li4half-4*li5half; Fill Htab5(1,1,0,1,1)=-1/2*z2*z3-6/5*z2^2*Sinf+1/2*z3*Sinf^2+6*z5; Fill Htab5(1,1,0,1,0)=3*z2*z3+7/10*z2^2*Sinf-z3*Sinf^2-11/2*z5; Fill Htab5(1,1,0,0,-1)=-3/4*z2*z3-1/2*z2*ln2^2*Sinf-1/3*z2*ln2^3-11/ 10*z2^2*Sinf+7/4*z3*ln2*Sinf+7/8*z3*ln2^2+3/8*z3*Sinf^2-15/32*z5+ 2*ln2*li4half+1/12*ln2^4*Sinf+1/15*ln2^5+2*Sinf*li4half+2*li5half; Fill Htab5(1,1,0,0,1)=1/2*z2*z3-1/2*z2^2*Sinf+1/2*z3*Sinf^2-1/2*z5; Fill Htab5(1,1,0,0,0)=-z2*z3-2/5*z2^2*Sinf+2*z5; Fill Htab5(1,0,-1,-1,-1)=7/16*z2*z3+1/4*z2*ln2^2*Sinf+1/6*z2*ln2^3+2/ 5*z2^2*Sinf-7/8*z3*ln2*Sinf-7/16*z3*ln2^2+1/8*z5-ln2*li4half-1/24 *ln2^4*Sinf-1/30*ln2^5-Sinf*li4half-li5half; Fill Htab5(1,0,-1,-1,1)=1/4*z2*ln2^2*Sinf-1/4*z2*ln2^3-3/20*z2^2*ln2 -9/20*z2^2*Sinf+29/16*z5+1/12*ln2^4*Sinf+1/40*ln2^5+2*Sinf* li4half-3*li5half; Fill Htab5(1,0,-1,-1,0)=-1/8*z2*z3-1/8*z2^2*Sinf+5/8*z5; Fill Htab5(1,0,-1,1,-1)=-21/16*z2*z3-3/2*z2*ln2^2*Sinf+1/6*z2*ln2^3+1/ 5*z2^2*ln2-7/20*z2^2*Sinf+21/8*z3*ln2*Sinf+21/16*z3*ln2^2-101/64*z5 +ln2*li4half+5*li5half; Fill Htab5(1,0,-1,1,1)=-1/4*z2*ln2^3+39/40*z2^2*ln2-11/20*z2^2*Sinf- 23/64*z5+1/8*ln2^4*Sinf+1/40*ln2^5+3*Sinf*li4half-3*li5half; Fill Htab5(1,0,-1,1,0)=-13/8*z2*z3+z2*ln2^2*Sinf-9/8*z2^2*ln2+13/40* z2^2*Sinf+363/64*z5-1/6*ln2^4*Sinf-4*Sinf*li4half; Fill Htab5(1,0,-1,0,-1)=23/16*z2*z3+z2*ln2^2*Sinf+2/3*z2*ln2^3+13/8* z2^2*Sinf-7/2*z3*ln2*Sinf-7/4*z3*ln2^2+33/32*z5-4*ln2*li4half-1/6 *ln2^4*Sinf-2/15*ln2^5-4*Sinf*li4half-4*li5half; Fill Htab5(1,0,-1,0,1)=-5/8*z2*z3+3/40*z2^2*Sinf+29/32*z5; Fill Htab5(1,0,-1,0,0)=3/2*z2*z3+21/20*z2^2*Sinf-67/16*z5; Fill Htab5(1,0,1,-1,-1)=21/16*z2*z3+5/4*z2*ln2^2*Sinf+5/12*z2*ln2^3- 1/20*z2^2*ln2+7/8*z2^2*Sinf-21/8*z3*ln2*Sinf-35/16*z3*ln2^2+85/64* z5-3*ln2*li4half-1/12*ln2^4*Sinf-11/120*ln2^5-2*Sinf*li4half-4* li5half; Fill Htab5(1,0,1,-1,1)=-7/8*z2*z3-3/4*z2*ln2^2*Sinf+1/3*z2*ln2^3+1/5* z2^2*ln2+7/8*z2^2*Sinf+7/8*z3*ln2^2-29/16*z5-1/8*ln2^4*Sinf-1/30* ln2^5-3*Sinf*li4half+4*li5half; Fill Htab5(1,0,1,-1,0)=15/8*z2*z3-z2*ln2^2*Sinf+9/8*z2^2*ln2-33/40* z2^2*Sinf-257/64*z5+1/6*ln2^4*Sinf+4*Sinf*li4half; Fill Htab5(1,0,1,1,-1)=-7/16*z2*z3+1/2*z2*ln2^2*Sinf-7/12*z2*ln2^3-47/ 40*z2^2*ln2-9/20*z2^2*Sinf+7/8*z3*ln2*Sinf+7/16*z3*ln2^2-23/64*z5 +3*ln2*li4half+1/24*ln2^4*Sinf+13/120*ln2^5+Sinf*li4half+2* li5half; Fill Htab5(1,0,1,1,1)=2/5*z2^2*Sinf-4*z5; Fill Htab5(1,0,1,1,0)=-z2*z3-1/2*z2^2*Sinf+9/2*z5; Fill Htab5(1,0,1,0,-1)=3/4*z2*z3+z2*ln2^2*Sinf+2/3*z2*ln2^3+71/40* z2^2*Sinf-7/2*z3*ln2*Sinf-7/4*z3*ln2^2+89/64*z5-4*ln2*li4half-1/6 *ln2^4*Sinf-2/15*ln2^5-4*Sinf*li4half-4*li5half; Fill Htab5(1,0,1,0,1)=-2*z2*z3+3/10*z2^2*Sinf+2*z5; Fill Htab5(1,0,1,0,0)=2*z2*z3+6/5*z2^2*Sinf-11/2*z5; Fill Htab5(1,0,0,-1,-1)=-7/8*z2*z3-1/2*z2*ln2^2*Sinf-2/3*z2*ln2^3-3/4 *z2^2*Sinf+7/4*z3*ln2*Sinf+7/4*z3*ln2^2-39/16*z5+4*ln2*li4half+1/ 12*ln2^4*Sinf+2/15*ln2^5+2*Sinf*li4half+4*li5half; Fill Htab5(1,0,0,-1,1)=7/8*z2*z3-1/2*z2*ln2^2*Sinf+1/6*z2*ln2^3+8/5* z2^2*ln2-1/5*z2^2*Sinf-7/8*z3*ln2^2-85/16*z5+1/12*ln2^4*Sinf-1/60 *ln2^5+2*Sinf*li4half+2*li5half; Fill Htab5(1,0,0,-1,0)=-13/8*z2*z3-21/20*z2^2*Sinf+83/16*z5; Fill Htab5(1,0,0,1,-1)=-7/8*z2*z3-1/6*z2*ln2^3-8/5*z2^2*ln2-19/40* z2^2*Sinf+7/4*z3*ln2*Sinf+7/8*z3*ln2^2+311/64*z5+1/60*ln2^5-2* li5half; Fill Htab5(1,0,0,1,1)=1/10*z2^2*Sinf-1/2*z5; Fill Htab5(1,0,0,1,0)=-z2*z3-6/5*z2^2*Sinf+9/2*z5; Fill Htab5(1,0,0,0,-1)=1/2*z2*z3+7/20*z2^2*Sinf-59/32*z5; Fill Htab5(1,0,0,0,1)=z2*z3+2/5*z2^2*Sinf-3*z5; Fill Htab5(1,0,0,0,0)=z5; Fill Htab5(0,-1,-1,-1,-1)=1/6*z2*ln2^3-7/16*z3*ln2^2+z5-ln2*li4half -1/30*ln2^5-li5half; Fill Htab5(0,-1,-1,-1,1)=-7/8*z2*z3-1/6*z2*ln2^3+1/20*z2^2*ln2+7/16* z3*ln2^2+15/16*z5-1/120*ln2^5+li5half; Fill Htab5(0,-1,-1,-1,0)=15/16*z2*z3-59/32*z5; Fill Htab5(0,-1,-1,1,-1)=21/16*z2*z3+1/12*z2*ln2^3-1/10*z2^2*ln2-125/ 32*z5+3*ln2*li4half+7/60*ln2^5+li5half; Fill Htab5(0,-1,-1,1,1)=-3/16*z2*z3-1/12*z2*ln2^3+z2^2*ln2-123/32*z5 -1/24*ln2^5+5*li5half; Fill Htab5(0,-1,-1,1,0)=13/16*z2*z3-1/3*z2*ln2^3-1/5*z2^2*ln2+7/8*z5 +1/30*ln2^5-4*li5half; Fill Htab5(0,-1,-1,0,-1)=-23/16*z2*z3+177/64*z5; Fill Htab5(0,-1,-1,0,1)=-5/16*z2*z3+5/8*z5; Fill Htab5(0,-1,-1,0,0)=-1/2*z2*z3+23/16*z5; Fill Htab5(0,-1,1,-1,-1)=-21/16*z2*z3-5/12*z2*ln2^3-49/40*z2^2*ln2+21/ 16*z3*ln2^2+247/32*z5-3*ln2*li4half-1/12*ln2^5-5*li5half; Fill Htab5(0,-1,1,-1,1)=27/16*z2*z3+3/4*z2*ln2^3-21/40*z2^2*ln2-21/ 16*z3*ln2^2-29/64*z5+1/40*ln2^5-3*li5half; Fill Htab5(0,-1,1,-1,0)=-29/16*z2*z3+2/3*z2*ln2^3+23/20*z2^2*ln2-3*z5 -1/15*ln2^5+8*li5half; Fill Htab5(0,-1,1,1,-1)=-1/3*z2*ln2^3-1/10*z2^2*ln2+33/64*z5+ln2* li4half+1/20*ln2^5-li5half; Fill Htab5(0,-1,1,1,1)=-7/8*z2*z3+3/20*z2^2*ln2-1/32*z5-1/40*ln2^5+ 3*li5half; Fill Htab5(0,-1,1,1,0)=1/16*z2*z3-1/3*z2*ln2^3+7/40*z2^2*ln2+99/64* z5+1/30*ln2^5-4*li5half; Fill Htab5(0,-1,1,0,-1)=-5/16*z2*z3+2/3*z2*ln2^3-17/5*z2^2*ln2+547/32 *z5-8*ln2*li4half-1/5*ln2^5-16*li5half; Fill Htab5(0,-1,1,0,1)=5/2*z2*z3-3/8*z2^2*ln2-257/64*z5; Fill Htab5(0,-1,1,0,0)=-3/8*z2*z3-9/4*z2^2*ln2+171/32*z5; Fill Htab5(0,-1,0,-1,-1)=3/2*z2*z3+2/3*z2*ln2^3-7/4*z3*ln2^2+73/64* z5-4*ln2*li4half-2/15*ln2^5-4*li5half; Fill Htab5(0,-1,0,-1,1)=-2*z2*z3-1/3*z2*ln2^3-17/10*z2^2*ln2+7/4*z3* ln2^2+129/16*z5+1/30*ln2^5-4*li5half; Fill Htab5(0,-1,0,-1,0)=11/4*z2*z3-23/4*z5; Fill Htab5(0,-1,0,1,-1)=9/8*z2*z3-1/3*z2*ln2^3+17/10*z2^2*ln2-331/32 *z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(0,-1,0,1,1)=11/16*z2*z3-41/32*z5; Fill Htab5(0,-1,0,1,0)=3/4*z2*z3-2*z5; Fill Htab5(0,-1,0,0,-1)=-3/4*z2*z3+51/32*z5; Fill Htab5(0,-1,0,0,1)=-21/8*z2*z3+83/16*z5; Fill Htab5(0,-1,0,0,0)=-15/4*z5; Fill Htab5(0,1,-1,-1,-1)=7/16*z2*z3+1/3*z2*ln2^3+51/40*z2^2*ln2-21/ 16*z3*ln2^2-39/8*z5+ln2*li4half+1/120*ln2^5+4*li5half; Fill Htab5(0,1,-1,-1,1)=-21/16*z2*z3-1/3*z2*ln2^3-53/40*z2^2*ln2+21/ 16*z3*ln2^2+405/64*z5+1/30*ln2^5-4*li5half; Fill Htab5(0,1,-1,-1,0)=23/16*z2*z3-1/3*z2*ln2^3-19/20*z2^2*ln2+7/8* z5+1/30*ln2^5-4*li5half; Fill Htab5(0,1,-1,1,-1)=-3/8*z2*z3-1/4*z2*ln2^3+21/40*z2^2*ln2+z5-3 *ln2*li4half-1/8*ln2^5; Fill Htab5(0,1,-1,1,1)=21/8*z2*z3+1/4*z2*ln2^3-57/40*z2^2*ln2+29/64* z5+1/20*ln2^5-6*li5half; Fill Htab5(0,1,-1,1,0)=-z2*z3+2/3*z2*ln2^3+23/20*z2^2*ln2-19/4*z5-1/ 15*ln2^5+8*li5half; Fill Htab5(0,1,-1,0,-1)=-1/4*z2*z3-2/3*z2*ln2^3+17/5*z2^2*ln2-507/32* z5+8*ln2*li4half+1/5*ln2^5+16*li5half; Fill Htab5(0,1,-1,0,1)=-13/4*z2*z3+3/8*z2^2*ln2+363/64*z5; Fill Htab5(0,1,-1,0,0)=3/4*z2*z3+9/4*z2^2*ln2-139/32*z5; Fill Htab5(0,1,1,-1,-1)=3/16*z2*z3+1/12*z2*ln2^3+17/40*z2^2*ln2+7/16 *z3*ln2^2-277/64*z5+3*ln2*li4half+11/120*ln2^5+4*li5half; Fill Htab5(0,1,1,-1,1)=-35/16*z2*z3-5/12*z2*ln2^3+53/40*z2^2*ln2-7/16 *z3*ln2^2+29/64*z5-1/30*ln2^5+4*li5half; Fill Htab5(0,1,1,-1,0)=19/16*z2*z3-1/3*z2*ln2^3-53/40*z2^2*ln2+99/64 *z5+1/30*ln2^5-4*li5half; Fill Htab5(0,1,1,1,-1)=7/8*z2*z3+1/3*z2*ln2^3-1/20*z2^2*ln2-1/32*z5 -ln2*li4half-1/40*ln2^5-2*li5half; Fill Htab5(0,1,1,1,1)=z5; Fill Htab5(0,1,1,1,0)=z2*z3-3*z5; Fill Htab5(0,1,1,0,-1)=-3/16*z2*z3+53/64*z5; Fill Htab5(0,1,1,0,1)=-2*z2*z3+9/2*z5; Fill Htab5(0,1,1,0,0)=z2*z3-1/2*z5; Fill Htab5(0,1,0,-1,-1)=7/16*z2*z3+2/3*z2*ln2^3-7/4*z3*ln2^2+103/32* z5-4*ln2*li4half-2/15*ln2^5-4*li5half; Fill Htab5(0,1,0,-1,1)=1/2*z2*z3-1/3*z2*ln2^3-83/40*z2^2*ln2+7/4*z3* ln2^2+259/64*z5+1/30*ln2^5-4*li5half; Fill Htab5(0,1,0,-1,0)=1/4*z2*z3-2*z5; Fill Htab5(0,1,0,1,-1)=-7/8*z2*z3-1/3*z2*ln2^3+83/40*z2^2*ln2-227/32* z5+4*ln2*li4half+1/10*ln2^5+8*li5half; Fill Htab5(0,1,0,1,1)=3*z2*z3-11/2*z5; Fill Htab5(0,1,0,1,0)=-2*z2*z3+2*z5; Fill Htab5(0,1,0,0,-1)=1/8*z2*z3+11/32*z5; Fill Htab5(0,1,0,0,1)=-2*z2*z3+9/2*z5; Fill Htab5(0,1,0,0,0)=-4*z5; Fill Htab5(0,0,-1,-1,-1)=-1/2*z2*z3-1/3*z2*ln2^3+7/8*z3*ln2^2-33/32* z5+2*ln2*li4half+1/15*ln2^5+2*li5half; Fill Htab5(0,0,-1,-1,1)=3/4*z2*z3+1/3*z2*ln2^3+19/20*z2^2*ln2-7/8*z3 *ln2^2-153/32*z5-1/30*ln2^5+4*li5half; Fill Htab5(0,0,-1,-1,0)=-7/8*z2*z3+23/16*z5; Fill Htab5(0,0,-1,1,-1)=1/2*z2*z3-1/2*z2*ln2^3+11/40*z2^2*ln2-15/8* z5+2*ln2*li4half+1/12*ln2^5; Fill Htab5(0,0,-1,1,1)=-13/8*z2*z3+1/6*z2*ln2^3+1/10*z2^2*ln2+15/8*z5 -1/60*ln2^5+2*li5half; Fill Htab5(0,0,-1,1,0)=9/4*z2^2*ln2-139/32*z5; Fill Htab5(0,0,-1,0,-1)=-5/8*z2*z3+41/32*z5; Fill Htab5(0,0,-1,0,1)=9/4*z2*z3-67/16*z5; Fill Htab5(0,0,-1,0,0)=45/8*z5; Fill Htab5(0,0,1,-1,-1)=-13/16*z2*z3+1/6*z2*ln2^3-49/40*z2^2*ln2+7/8* z3*ln2^2+47/8*z5-2*ln2*li4half-1/20*ln2^5-4*li5half; Fill Htab5(0,0,1,-1,1)=15/8*z2*z3-1/6*z2*ln2^3+11/40*z2^2*ln2-7/8*z3 *ln2^2-159/64*z5+1/60*ln2^5-2*li5half; Fill Htab5(0,0,1,-1,0)=-7/8*z2*z3-9/4*z2^2*ln2+171/32*z5; Fill Htab5(0,0,1,1,-1)=-1/16*z2*z3+1/3*z2*ln2^3-3/8*z2^2*ln2+151/64* z5-2*ln2*li4half-1/15*ln2^5-2*li5half; Fill Htab5(0,0,1,1,1)=-z2*z3+2*z5; Fill Htab5(0,0,1,1,0)=-1/2*z5; Fill Htab5(0,0,1,0,-1)=-1/4*z2*z3+21/32*z5; Fill Htab5(0,0,1,0,1)=3*z2*z3-11/2*z5; Fill Htab5(0,0,1,0,0)=6*z5; Fill Htab5(0,0,0,-1,-1)=1/2*z2*z3-29/32*z5; Fill Htab5(0,0,0,-1,1)=-3/4*z2*z3-3/4*z2^2*ln2+91/32*z5; Fill Htab5(0,0,0,-1,0)=-15/4*z5; Fill Htab5(0,0,0,1,-1)=3/8*z2*z3+3/4*z2^2*ln2-2*z5; Fill Htab5(0,0,0,1,1)=-z2*z3+2*z5; Fill Htab5(0,0,0,1,0)=-4*z5; Fill Htab5(0,0,0,0,-1)=15/16*z5; Fill Htab5(0,0,0,0,1)=z5; Fill Htab5(0,0,0,0,0)=0; #endif * #endprocedure *--#] htable5 : *--#[ htable6 : #procedure htable6 #ifndef `HTABLE6FILL' #define HTABLE6FILL "1" * * Values of H(R(..),1) at weight = 6. * Constants: * Sinf = S(R(1),inf) * ln2 = ln_(2) * z2 = zeta_2 = pi_^2/6 * z3 = zeta_3 * z5 = zeta_5 * li4half = Li(4,1/2) * li5half = Li(5,1/2) * li6half = Li(6,1/2) * s6 = S(R(-5,-1),inf) = 0.98744142640329971377 * S Sinf,ln2,z2,z3,z5,li4half,li5half,li6half,s6; CTable,relax,Htab6(-1:1,-1:1,-1:1,-1:1,-1:1,-1:1); * Fill Htab6(-1,-1,-1,-1,-1,-1)=1/720*ln2^6; Fill Htab6(-1,-1,-1,-1,-1,1)=1/16*z2*ln2^4+8/35*z2^3-7/48*z3*ln2^3- ln2*li5half-1/2*ln2^2*li4half-11/720*ln2^6-li6half; Fill Htab6(-1,-1,-1,-1,-1,0)=-1/24*z2*ln2^4-1/5*z2^2*ln2^2-8/35*z2^3+ 1/6*z3*ln2^3+z5*ln2+1/720*ln2^6+li6half; Fill Htab6(-1,-1,-1,-1,1,-1)=-7/48*z2*ln2^4-8/7*z2^3+7/24*z3*ln2^3+z5 *ln2+4*ln2*li5half+3/2*ln2^2*li4half+5/144*ln2^6+5*li6half; Fill Htab6(-1,-1,-1,-1,1,1)=-1/24*z2*ln2^4+13/35*z2^3+7/48*z3*ln2^3+1/ 8*z3^2-1/32*z5*ln2-ln2*li5half+1/144*ln2^6-2*li6half-1/2*s6; Fill Htab6(-1,-1,-1,-1,1,0)=7/16*z2*z3*ln2-1/8*z2*ln2^4+1/2*z2*li4half +3/40*z2^2*ln2^2-26/35*z2^3+13/48*z3*ln2^3+17/128*z3^2-1/32*z5* ln2+3*ln2*li5half+3/2*ln2^2*li4half+29/720*ln2^6+2*li6half-1/2*s6 ; Fill Htab6(-1,-1,-1,-1,0,-1)=1/24*z2*ln2^4+3/5*z2^2*ln2^2+8/7*z2^3-1/ 3*z3*ln2^3-4*z5*ln2-ln2*li5half+1/720*ln2^6-5*li6half; Fill Htab6(-1,-1,-1,-1,0,1)=1/16*z2*ln2^4-1/2*z2*li4half+13/80*z2^2* ln2^2-6/35*z2^3-1/4*z3*ln2^3-17/128*z3^2-27/32*z5*ln2+ln2*li5half -1/180*ln2^6+2*li6half+1/2*s6; Fill Htab6(-1,-1,-1,-1,0,0)=-1/2*z2*z3*ln2+1/24*z2*ln2^4+3/8*z2^2*ln2^2 +19/35*z2^3-1/6*z3*ln2^3-1/8*z3^2-2*z5*ln2-1/360*ln2^6-2* li6half+1/2*s6; Fill Htab6(-1,-1,-1,1,-1,-1)=1/12*z2*ln2^4+1/5*z2^2*ln2^2+16/7*z2^3- 7/48*z3*ln2^3-4*z5*ln2-6*ln2*li5half-3/2*ln2^2*li4half-1/36*ln2^6 -10*li6half; Fill Htab6(-1,-1,-1,1,-1,1)=5/48*z2*ln2^4-1/5*z2^2*ln2^2-122/105*z2^3 -7/24*z3*ln2^3-23/32*z3^2-23/64*z5*ln2+3*ln2*li5half-1/72*ln2^6 +7*li6half+9/4*s6; Fill Htab6(-1,-1,-1,1,-1,0)=-7/8*z2*z3*ln2+1/24*z2*ln2^4-3/2*z2*li4half +23/40*z2^2*ln2^2+79/35*z2^3-1/6*z3*ln2^3+73/64*z3^2+29/64*z5*ln2 -6*ln2*li5half-3/2*ln2^2*li4half-19/720*ln2^6-10*li6half-11/4*s6; Fill Htab6(-1,-1,-1,1,1,-1)=-1/2*z2*z3*ln2-1/48*z2*ln2^4-1/5*z2^2*ln2^2 -34/105*z2^3+7/48*z3*ln2^3+7/32*z3^2+157/64*z5*ln2+1/360*ln2^6+ li6half-1/4*s6; Fill Htab6(-1,-1,-1,1,1,1)=1/2*z2*z3*ln2-1/24*z2*ln2^4+1/5*z2^2*ln2^2 +23/140*z2^3-1/2*z3^2-63/32*z5*ln2+ln2*li5half+1/2*ln2^2*li4half +1/90*ln2^6; Fill Htab6(-1,-1,-1,1,1,0)=-7/16*z2*z3*ln2-1/24*z2*ln2^4-1/5*z2^2*ln2^2 -71/56*z2^3+1/48*z3*ln2^3-153/128*z3^2-123/32*z5*ln2+5*ln2* li5half+ln2^2*li4half+1/80*ln2^6+9*li6half+9/2*s6; Fill Htab6(-1,-1,-1,1,0,-1)=-7/16*z2*z3*ln2+1/8*z2*ln2^4-1/2*z2*li4half -19/40*z2^2*ln2^2+5/7*z2^3-5/48*z3*ln2^3-107/64*z3^2-333/64*z5* ln2-2*ln2*li5half-3/2*ln2^2*li4half-31/720*ln2^6+2*li6half+19/4* s6; Fill Htab6(-1,-1,-1,1,0,1)=-7/8*z2*z3*ln2+5/24*z2*ln2^4-1/2*z2*li4half +7/80*z2^2*ln2^2+449/560*z2^3-23/48*z3*ln2^3+31/16*z3^2+61/8*z5* ln2-6*ln2*li5half-5/2*ln2^2*li4half-23/360*ln2^6-7*li6half-4*s6; Fill Htab6(-1,-1,-1,1,0,0)=-13/16*z2*z3*ln2+1/48*z2*ln2^4-3/2*z2* li4half+279/280*z2^3-1/8*z3*ln2^3-101/128*z3^2-15/8*z5*ln2-2*ln2* li5half-ln2^2*li4half-1/40*ln2^6+3/2*s6; Fill Htab6(-1,-1,-1,0,-1,-1)=-3/5*z2^2*ln2^2-16/7*z2^3+1/6*z3*ln2^3+6 *z5*ln2+4*ln2*li5half+1/2*ln2^2*li4half+1/720*ln2^6+10*li6half; Fill Htab6(-1,-1,-1,0,-1,1)=7/48*z2*ln2^4+2*z2*li4half-23/20*z2^2* ln2^2+2/35*z2^3+1/8*z3*ln2^3-73/64*z3^2+81/64*z5*ln2-4*ln2* li5half-5/2*ln2^2*li4half-13/180*ln2^6-li6half+11/4*s6; Fill Htab6(-1,-1,-1,0,-1,0)=z2*z3*ln2-5/48*z2*ln2^4-1/2*z2*li4half-9/ 16*z2^2*ln2^2-121/105*z2^3+1/3*z3*ln2^3+23/32*z3^2+11/2*z5*ln2+1/ 180*ln2^6+4*li6half-9/4*s6; Fill Htab6(-1,-1,-1,0,1,-1)=7/16*z2*z3*ln2-1/16*z2*ln2^4+23/40*z2^2* ln2^2+22/35*z2^3+1/8*z3*ln2^3+107/64*z3^2+143/64*z5*ln2-ln2* li5half+3/2*ln2^2*li4half+11/180*ln2^6-7*li6half-19/4*s6; Fill Htab6(-1,-1,-1,0,1,1)=-7/16*z2*z3*ln2-1/16*z2*ln2^4-1/2*z2*li4half +3/16*z2^2*ln2^2+17/280*z2^3+1/6*z3*ln2^3+49/128*z3^2-25/32*z5* ln2+ln2*li5half+1/2*ln2^2*li4half+1/80*ln2^6; Fill Htab6(-1,-1,-1,0,1,0)=3/4*z2*z3*ln2-1/16*z2*ln2^4+1/2*z2*li4half -61/80*z2^2*ln2^2-247/336*z2^3+1/4*z3*ln2^3-109/128*z3^2+41/32*z5 *ln2+1/180*ln2^6+4*li6half+s6; Fill Htab6(-1,-1,-1,0,0,-1)=1/2*z2*z3*ln2+5/48*z2*ln2^4+1/2*z2*li4half -3/16*z2^2*ln2^2-107/105*z2^3-1/6*z3*ln2^3-7/32*z3^2+47/32*z5*ln2 +2*ln2*li5half-1/90*ln2^6+4*li6half+1/4*s6; Fill Htab6(-1,-1,-1,0,0,1)=z2*z3*ln2+1/24*z2*ln2^4+2*z2*li4half-1/5* z2^2*ln2^2+337/840*z2^3+1/6*z3*ln2^3+9/64*z3^2+15/32*z5*ln2-2*ln2 *li5half+1/120*ln2^6-6*li6half-3/2*s6; Fill Htab6(-1,-1,-1,0,0,0)=1/2*z2*z3*ln2-7/40*z2^2*ln2^2-59/140*z2^3 +7/8*z3^2+2*z5*ln2-3/2*s6; Fill Htab6(-1,-1,1,-1,-1,-1)=-3/5*z2^2*ln2^2-16/7*z2^3+1/6*z3*ln2^3+6 *z5*ln2+4*ln2*li5half+1/2*ln2^2*li4half+10*li6half; Fill Htab6(-1,-1,1,-1,-1,1)=-1/16*z2*ln2^4+3/5*z2^2*ln2^2+44/35*z2^3- 1/48*z3*ln2^3+181/128*z3^2+81/64*z5*ln2-3*ln2*li5half+1/72*ln2^6- 9*li6half-15/4*s6; Fill Htab6(-1,-1,1,-1,-1,0)=-1/16*z2*z3*ln2+5/48*z2*ln2^4+3/2*z2* li4half-13/16*z2^2*ln2^2-13/7*z2^3-1/48*z3*ln2^3-89/64*z3^2+29/64 *z5*ln2+4*ln2*li5half+1/2*ln2^2*li4half+9*li6half+15/4*s6; Fill Htab6(-1,-1,1,-1,1,-1)=3/2*z2*z3*ln2+1/16*z2*ln2^4+3/5*z2^2*ln2^2 +34/35*z2^3-11/24*z3*ln2^3-43/64*z3^2-117/16*z5*ln2-1/360*ln2^6 -3*li6half+3/4*s6; Fill Htab6(-1,-1,1,-1,1,1)=-3/2*z2*z3*ln2+1/8*z2*ln2^4-3/5*z2^2*ln2^2 -29/60*z2^3+1/48*z3*ln2^3+191/128*z3^2+375/64*z5*ln2-3*ln2* li5half-3/2*ln2^2*li4half-7/180*ln2^6; Fill Htab6(-1,-1,1,-1,1,0)=11/8*z2*z3*ln2-5/48*z2*ln2^4+7/16*z2^2* ln2^2+859/560*z2^3+1/6*z3*ln2^3-9/64*z3^2-29/64*z5*ln2-3*ln2* li5half+1/72*ln2^6-8*li6half-15/4*s6; Fill Htab6(-1,-1,1,-1,0,-1)=11/8*z2*z3*ln2+1/12*z2*ln2^4+3/2*z2* li4half-39/40*z2^2*ln2^2-107/35*z2^3+1/24*z3*ln2^3-41/64*z3^2+349/ 64*z5*ln2+5*ln2*li5half+1/2*ln2^2*li4half-1/240*ln2^6+12*li6half+ 3/4*s6; Fill Htab6(-1,-1,1,-1,0,1)=11/4*z2*z3*ln2-1/4*z2*ln2^4+3/2*z2*li4half -33/80*z2^2*ln2^2-233/112*z2^3+13/24*z3*ln2^3-31/8*z3^2-845/64*z5 *ln2+11*ln2*li5half+7/2*ln2^2*li4half+3/40*ln2^6+15*li6half+15/2* s6; Fill Htab6(-1,-1,1,-1,0,0)=1/2*z2*z3*ln2+5/48*z2*ln2^4+3/2*z2*li4half -3/4*z2^2*ln2^2-1091/560*z2^3-1/8*z3*ln2^3+23/64*z3^2+159/64*z5* ln2+2*ln2*li5half-1/120*ln2^6+6*li6half+7/4*s6; Fill Htab6(-1,-1,1,1,-1,-1)=1/40*z2^2*ln2^2-1/48*z3*ln2^3+1/128*z3^2 -3/64*z5*ln2+1/720*ln2^6; Fill Htab6(-1,-1,1,1,-1,1)=-3/16*z2*ln2^4-1/40*z2^2*ln2^2+1/140*z2^3+ 11/24*z3*ln2^3-83/64*z3^2-369/64*z5*ln2+3*ln2*li5half+3/2*ln2^2* li4half+29/720*ln2^6+3*li6half+3*s6; Fill Htab6(-1,-1,1,1,-1,0)=1/16*z2*z3*ln2+1/16*z2*ln2^4+7/16*z2^2* ln2^2+361/560*z2^3-13/48*z3*ln2^3+69/32*z3^2+405/64*z5*ln2-4*ln2* li5half-ln2^2*li4half-7/360*ln2^6-8*li6half-11/2*s6; Fill Htab6(-1,-1,1,1,1,-1)=-1/2*z2*z3*ln2+1/48*z2*ln2^4-1/40*z2^2*ln2^2 -1/60*z2^3+1/48*z3*ln2^3+167/128*z3^2+187/32*z5*ln2-2*ln2*li5half -1/2*ln2^2*li4half-7/720*ln2^6-3*li6half-3*s6; Fill Htab6(-1,-1,1,1,1,1)=1/2*z2*z3*ln2+1/24*z2*ln2^4+1/40*z2^2*ln2^2 -1/5*z2^3-1/6*z3*ln2^3-5/8*z3^2-z5*ln2+ln2*li5half-1/240*ln2^6 +2*li6half+1/2*s6; Fill Htab6(-1,-1,1,1,1,0)=-1/2*z2*z3*ln2+5/48*z2*ln2^4-1/2*z2*li4half -5/16*z2^2*ln2^2-11/14*z2^3-1/6*z3*ln2^3-3/32*z3^2+15/16*z5*ln2 +ln2*li5half-1/2*ln2^2*li4half-1/45*ln2^6+5*li6half+7/4*s6; Fill Htab6(-1,-1,1,1,0,-1)=-1/16*z2*z3*ln2-1/12*z2*ln2^4+3/5*z2^2*ln2^2 +13/8*z2^3+5/48*z3*ln2^3+201/128*z3^2+85/64*z5*ln2-4*ln2*li5half +13/720*ln2^6-11*li6half-17/4*s6; Fill Htab6(-1,-1,1,1,0,1)=-1/8*z2*z3*ln2-1/16*z2*ln2^4+3/2*z2*li4half -27/80*z2^2*ln2^2+289/280*z2^3+23/48*z3*ln2^3+21/64*z3^2+35/32*z5 *ln2-4*ln2*li5half+1/45*ln2^6-8*li6half-5/4*s6; Fill Htab6(-1,-1,1,1,0,0)=-1/16*z2*z3*ln2+1/24*z2*ln2^4-z2*li4half+5/ 8*z2^2*ln2^2+31/28*z2^3-1/6*z3*ln2^3+267/128*z3^2+153/32*z5*ln2-4 *ln2*li5half-ln2^2*li4half-7/360*ln2^6-8*li6half-11/2*s6; Fill Htab6(-1,-1,1,0,-1,-1)=-1/16*z2*ln2^4+3/5*z2^2*ln2^2+16/35*z2^3- 1/48*z3*ln2^3+181/64*z3^2+273/32*z5*ln2-3*ln2*li5half+1/80*ln2^6- 9*li6half-15/2*s6; Fill Htab6(-1,-1,1,0,-1,1)=-3/16*z2*z3*ln2+1/6*z2*ln2^4+13/20*z2^2* ln2^2+107/40*z2^3-13/48*z3*ln2^3+325/64*z3^2+911/64*z5*ln2-13*ln2 *li5half-2*ln2^2*li4half-1/120*ln2^6-24*li6half-13*s6; Fill Htab6(-1,-1,1,0,-1,0)=5/16*z2*z3*ln2-1/12*z2*ln2^4+2*z2*li4half +3/16*z2^2*ln2^2-44/105*z2^3+1/4*z3*ln2^3-101/128*z3^2-259/64*z5* ln2+4*ln2*li5half+2*ln2^2*li4half+1/20*ln2^6+3/2*s6; Fill Htab6(-1,-1,1,0,1,-1)=3/2*z2*z3*ln2-1/24*z2*ln2^4-23/40*z2^2* ln2^2-3*z2^3-13/48*z3*ln2^3-449/64*z3^2-1445/64*z5*ln2+16*ln2* li5half+2*ln2^2*li4half-1/120*ln2^6+30*li6half+35/2*s6; Fill Htab6(-1,-1,1,0,1,1)=-21/16*z2*z3*ln2-1/12*z2*ln2^4-3/2*z2*li4half +5/16*z2^2*ln2^2-163/560*z2^3-1/48*z3*ln2^3+225/128*z3^2+87/32*z5 *ln2+1/720*ln2^6+li6half-s6; Fill Htab6(-1,-1,1,0,1,0)=23/16*z2*z3*ln2-1/12*z2*ln2^4+2*z2*li4half +11/80*z2^2*ln2^2+19/84*z2^3+1/3*z3*ln2^3-161/64*z3^2-129/16*z5* ln2+4*ln2*li5half+2*ln2^2*li4half+1/20*ln2^6+5/2*s6; Fill Htab6(-1,-1,1,0,0,-1)=13/16*z2*z3*ln2+1/12*z2*ln2^4+z2*li4half- 3/16*z2^2*ln2^2-209/336*z2^3-1/8*z3*ln2^3+179/64*z3^2+209/16*z5*ln2 -4*ln2*li5half-ln2^2*li4half-1/60*ln2^6-6*li6half-31/4*s6; Fill Htab6(-1,-1,1,0,0,1)=13/8*z2*z3*ln2-1/24*z2*ln2^4+z2*li4half-11/ 20*z2^2*ln2^2-2363/1680*z2^3+1/8*z3*ln2^3-207/128*z3^2-27/8*z5*ln2 +4*ln2*li5half+ln2^2*li4half+7/360*ln2^6+8*li6half+3*s6; Fill Htab6(-1,-1,1,0,0,0)=3/8*z2*z3*ln2+1/24*z2*ln2^4+z2*li4half-3/ 40*z2^2*ln2^2-123/140*z2^3+15/16*z3^2+91/32*z5*ln2-s6; Fill Htab6(-1,-1,0,-1,-1,-1)=1/12*z2*ln2^4+1/5*z2^2*ln2^2+16/7*z2^3- 7/48*z3*ln2^3-4*z5*ln2-6*ln2*li5half-3/2*ln2^2*li4half-19/720*ln2^6 -10*li6half; Fill Htab6(-1,-1,0,-1,-1,1)=-5/24*z2*ln2^4-3*z2*li4half+89/80*z2^2* ln2^2+2/5*z2^3+45/32*z3^2-23/64*z5*ln2+2*ln2*li5half+5/2*ln2^2* li4half+7/80*ln2^6-15/4*s6; Fill Htab6(-1,-1,0,-1,-1,0)=-1/16*z2*z3*ln2+1/16*z2*ln2^4+3/2*z2* li4half-7/16*z2^2*ln2^2+1/5*z2^3-179/128*z3^2-9/2*z5*ln2+15/4*s6; Fill Htab6(-1,-1,0,-1,1,-1)=-21/16*z2*z3*ln2-25/48*z2*ln2^4+6/5*z2^2* ln2^2-34/35*z2^3+7/16*z3*ln2^3+39/64*z3^2-23/64*z5*ln2+8*ln2* li5half+3/2*ln2^2*li4half+3*li6half-3/4*s6; Fill Htab6(-1,-1,0,-1,1,1)=21/16*z2*z3*ln2+1/6*z2*ln2^4+3/2*z2*li4half -111/80*z2^2*ln2^2-173/560*z2^3-69/32*z3^2+85/64*z5*ln2-4*ln2* li5half-1/2*ln2^2*li4half+1/60*ln2^6+3*li6half+9/4*s6; Fill Htab6(-1,-1,0,-1,1,0)=-13/16*z2*z3*ln2+1/48*z2*ln2^4+1/2*z2* li4half+43/16*z2^2*ln2^2+1213/560*z2^3+95/16*z3^2+257/64*z5*ln2+2 *ln2^2*li4half+1/20*ln2^6-24*li6half-25/2*s6; Fill Htab6(-1,-1,0,-1,0,-1)=-23/16*z2*z3*ln2-7/48*z2*ln2^4-3/2*z2* li4half+19/16*z2^2*ln2^2+107/35*z2^3+41/64*z3^2-407/64*z5*ln2-4* ln2*li5half+1/60*ln2^6-12*li6half-3/4*s6; Fill Htab6(-1,-1,0,-1,0,1)=-23/8*z2*z3*ln2-1/24*z2*ln2^4-5*z2*li4half +103/80*z2^2*ln2^2+3/80*z2^3-7/12*z3*ln2^3+83/128*z3^2-89/64*z5* ln2+4*ln2*li5half-1/45*ln2^6+8*li6half+5/4*s6; Fill Htab6(-1,-1,0,-1,0,0)=-z2*z3*ln2+21/40*z2^2*ln2^2+13/12*z2^3-145/ 64*z3^2-11/2*z5*ln2+7/2*s6; Fill Htab6(-1,-1,0,1,-1,-1)=17/48*z2*ln2^4-61/40*z2^2*ln2^2-16/35*z2^3 -45/16*z3^2-151/32*z5*ln2-ln2*li5half-ln2^2*li4half-1/48*ln2^6+ 9*li6half+15/2*s6; Fill Htab6(-1,-1,0,1,-1,1)=-13/48*z2*ln2^4+29/16*z2^2*ln2^2-11/560*z2^3 -7/16*z3*ln2^3+165/128*z3^2-101/64*z5*ln2+5*ln2*li5half-11/240* ln2^6-3*li6half-3*s6; Fill Htab6(-1,-1,0,1,-1,0)=-13/16*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half -41/16*z2^2*ln2^2-195/112*z2^3-659/128*z3^2-363/64*z5*ln2-2*ln2^2 *li4half-1/20*ln2^6+24*li6half+14*s6; Fill Htab6(-1,-1,0,1,1,-1)=3/8*z2*ln2^4-69/80*z2^2*ln2^2+41/280*z2^3 -9/32*z3^2+29/16*z5*ln2-3*ln2*li5half-ln2^2*li4half-1/60*ln2^6+ 3/4*s6; Fill Htab6(-1,-1,0,1,1,1)=-1/48*z2*ln2^4+1/2*z2*li4half+3/40*z2^2*ln2^2 +9/40*z2^3+7/48*z3*ln2^3+17/128*z3^2+1/8*z5*ln2-ln2*li5half+1/ 180*ln2^6-2*li6half-1/2*s6; Fill Htab6(-1,-1,0,1,1,0)=-1/16*z2*z3*ln2-1/4*z2^2*ln2^2+61/560*z2^3- 35/128*z3^2-5/8*z5*ln2+3/4*s6; Fill Htab6(-1,-1,0,1,0,-1)=-5/16*z2*z3*ln2-1/12*z2*ln2^4+71/80*z2^2* ln2^2+997/560*z2^3+113/64*z3^2+33/32*z5*ln2-4*ln2*li5half+1/60* ln2^6-12*li6half-9/2*s6; Fill Htab6(-1,-1,0,1,0,1)=-5/8*z2*z3*ln2+1/12*z2*ln2^4-2*z2*li4half+ 13/20*z2^2*ln2^2-247/280*z2^3-7/12*z3*ln2^3-7/128*z3^2-33/32*z5*ln2 +4*ln2*li5half-1/45*ln2^6+8*li6half+5/4*s6; Fill Htab6(-1,-1,0,1,0,0)=-3/4*z2*z3*ln2+3/5*z2^2*ln2^2+1033/1680*z2^3 -69/64*z3^2-67/16*z5*ln2+5/2*s6; Fill Htab6(-1,-1,0,0,-1,-1)=1/12*z2*ln2^4-3/8*z2^2*ln2^2+1/128*z3^2+ 125/64*z5*ln2-2*ln2*li5half-ln2^2*li4half-1/40*ln2^6; Fill Htab6(-1,-1,0,0,-1,1)=-3/16*z2*z3*ln2-7/24*z2*ln2^4-z2*li4half- 13/40*z2^2*ln2^2-247/560*z2^3+7/24*z3*ln2^3-217/128*z3^2-311/64*z5* ln2+2*ln2*li5half+ln2^2*li4half+13/360*ln2^6+8*li6half+9/2*s6; Fill Htab6(-1,-1,0,0,-1,0)=1/2*z2*z3*ln2+1/24*z2*ln2^4+z2*li4half-31/ 40*z2^2*ln2^2-593/840*z2^3+13/32*z3^2+9/2*z5*ln2-3/2*s6; Fill Htab6(-1,-1,0,0,1,-1)=-11/16*z2*z3*ln2+1/24*z2*ln2^4+19/80*z2^2* ln2^2-4/5*z2^3+7/24*z3*ln2^3+5/8*z3^2+77/32*z5*ln2+4*ln2*li5half +ln2^2*li4half+1/90*ln2^6+2*li6half-5/4*s6; Fill Htab6(-1,-1,0,0,1,1)=7/8*z2*z3*ln2+1/8*z2*ln2^4+2*z2*li4half-9/ 20*z2^2*ln2^2+19/35*z2^3-1/4*z3^2+39/16*z5*ln2-4*ln2*li5half- ln2^2*li4half-1/60*ln2^6-6*li6half-3/2*s6; Fill Htab6(-1,-1,0,0,1,0)=-1/2*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half-7/ 20*z2^2*ln2^2-179/420*z2^3+105/64*z3^2+83/16*z5*ln2-5/2*s6; Fill Htab6(-1,-1,0,0,0,-1)=-1/2*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+17/ 40*z2^2*ln2^2+149/168*z2^3-49/64*z3^2-189/32*z5*ln2+5/2*s6; Fill Htab6(-1,-1,0,0,0,1)=-z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+7/10* z2^2*ln2^2+115/168*z2^3+3/8*z3^2-59/32*z5*ln2; Fill Htab6(-1,-1,0,0,0,0)=23/70*z2^3-3/4*z3^2-z5*ln2+s6; Fill Htab6(-1,1,-1,-1,-1,-1)=1/24*z2*ln2^4+3/5*z2^2*ln2^2+8/7*z2^3-1/ 3*z3*ln2^3-4*z5*ln2-ln2*li5half-5*li6half; Fill Htab6(-1,1,-1,-1,-1,1)=-7/16*z2*z3*ln2-1/8*z2*ln2^4-1/2*z2*li4half -19/40*z2^2*ln2^2-67/105*z2^3+23/48*z3*ln2^3-61/64*z3^2-27/32*z5* ln2+2*ln2*li5half+1/2*ln2^2*li4half+1/72*ln2^6+6*li6half+5/2*s6; Fill Htab6(-1,1,-1,-1,-1,0)=3/2*z2*z3*ln2+1/24*z2*ln2^4+1/20*z2^2* ln2^2+12/35*z2^3-1/6*z3*ln2^3+1/2*z3^2-1/32*z5*ln2-2*ln2*li5half -1/2*ln2^2*li4half-1/120*ln2^6-3*li6half-2*s6; Fill Htab6(-1,1,-1,-1,1,-1)=-1/8*z2*z3*ln2+1/6*z2*ln2^4+3/2*z2*li4half -39/40*z2^2*ln2^2-3/5*z2^3+1/24*z3*ln2^3+1/32*z3^2+369/64*z5*ln2 -3*ln2*li5half-3/2*ln2^2*li4half-13/360*ln2^6; Fill Htab6(-1,1,-1,-1,1,1)=23/16*z2*z3*ln2+1/12*z2*ln2^4+3/5*z2^2* ln2^2+397/840*z2^3-23/48*z3*ln2^3-11/64*z3^2+3/64*z5*ln2-1/180* ln2^6-3*li6half-3*s6; Fill Htab6(-1,1,-1,-1,1,0)=-5/8*z2*z3*ln2+3/16*z2*ln2^4+z2*li4half-3/ 10*z2^2*ln2^2-121/280*z2^3-13/48*z3*ln2^3+37/64*z3^2+33/64*z5*ln2 -ln2*li5half-ln2^2*li4half-1/30*ln2^6+7/4*s6; Fill Htab6(-1,1,-1,-1,0,-1)=-23/8*z2*z3*ln2-5/12*z2*ln2^4-3*z2*li4half +63/40*z2^2*ln2^2+94/35*z2^3+23/48*z3*ln2^3+41/32*z3^2-151/32*z5* ln2-ln2*li5half+3/2*ln2^2*li4half+7/120*ln2^6-9*li6half-3/2*s6; Fill Htab6(-1,1,-1,-1,0,1)=-51/16*z2*z3*ln2-1/16*z2*ln2^4-3/2*z2* li4half+49/80*z2^2*ln2^2+1157/560*z2^3+5/48*z3*ln2^3+341/128*z3^2 +457/64*z5*ln2-7*ln2*li5half-3/2*ln2^2*li4half-1/48*ln2^6-12* li6half-9/2*s6; Fill Htab6(-1,1,-1,-1,0,0)=-7/16*z2*z3*ln2-3/16*z2*ln2^4-3/2*z2*li4half +49/80*z2^2*ln2^2+73/140*z2^3+1/6*z3*ln2^3-71/64*z3^2-151/64*z5* ln2+2*ln2*li5half+ln2^2*li4half+1/36*ln2^6+2*li6half+1/4*s6; Fill Htab6(-1,1,-1,1,-1,-1)=-23/16*z2*z3*ln2-13/48*z2*ln2^4-3/2*z2* li4half+31/80*z2^2*ln2^2-13/35*z2^3+23/48*z3*ln2^3+41/64*z3^2+105/ 64*z5*ln2+3*ln2*li5half+3/2*ln2^2*li4half+31/720*ln2^6+3*li6half- 3/4*s6; Fill Htab6(-1,1,-1,1,-1,1)=1/8*z2*z3*ln2+1/48*z2*ln2^4-1/80*z2^2*ln2^2 +1/112*z2^3-1/24*z3*ln2^3-1/32*z3^2-3/16*z5*ln2-1/720*ln2^6; Fill Htab6(-1,1,-1,1,-1,0)=-5/8*z2*z3*ln2-1/48*z2*ln2^4-1/20*z2^2*ln2^2 -33/560*z2^3+1/6*z3*ln2^3+1/4*z3^2+z5*ln2; Fill Htab6(-1,1,-1,1,1,-1)=23/16*z2*z3*ln2+7/48*z2*ln2^4-1/80*z2^2* ln2^2+1/80*z2^3-23/48*z3*ln2^3-167/64*z3^2-721/64*z5*ln2+3*ln2* li5half-13/720*ln2^6+6*li6half+6*s6; Fill Htab6(-1,1,-1,1,1,1)=-z2*z3*ln2-1/16*z2*ln2^4+1/2*z2*li4half-9/ 80*z2^2*ln2^2+23/35*z2^3+1/3*z3*ln2^3+55/32*z3^2+4*z5*ln2-4*ln2* li5half-1/2*ln2^2*li4half+1/240*ln2^6-7*li6half-9/4*s6; Fill Htab6(-1,1,-1,1,1,0)=3/2*z2*z3*ln2+z2*li4half-1/5*z2^2*ln2^2+1/ 8*z2^3-1/48*z3*ln2^3-129/64*z3^2-125/32*z5*ln2+ln2*li5half+1/2* ln2^2*li4half+1/72*ln2^6+li6half+3/2*s6; Fill Htab6(-1,1,-1,1,0,-1)=-3/2*z2*z3*ln2-11/48*z2*ln2^4-2*z2*li4half -13/40*z2^2*ln2^2-1201/560*z2^3+13/24*z3*ln2^3-9/8*z3^2-1/8*z5* ln2+8*ln2*li5half+2*ln2^2*li4half+7/180*ln2^6+16*li6half+4*s6; Fill Htab6(-1,1,-1,1,0,1)=1/8*z2*z3*ln2-7/48*z2*ln2^4-2*z2*li4half+ 21/80*z2^2*ln2^2-163/140*z2^3+1/24*z3*ln2^3-117/64*z3^2-61/8*z5*ln2 +8*ln2*li5half+2*ln2^2*li4half+5/144*ln2^6+13*li6half+19/4*s6; Fill Htab6(-1,1,-1,1,0,0)=-7/8*z2*z3*ln2-19/80*z2^2*ln2^2-89/560*z2^3 +1/8*z3*ln2^3+11/16*z3^2+15/8*z5*ln2; Fill Htab6(-1,1,-1,0,-1,-1)=11/8*z2*z3*ln2+1/8*z2*ln2^4+3/2*z2*li4half +9/40*z2^2*ln2^2+13/35*z2^3-11/24*z3*ln2^3-41/64*z3^2-291/64*z5* ln2-1/240*ln2^6-3*li6half+3/4*s6; Fill Htab6(-1,1,-1,0,-1,1)=-1/8*z2*z3*ln2+1/8*z2*ln2^4-2*z2*li4half-9/ 4*z2^2*ln2^2-321/70*z2^3+1/6*z3*ln2^3-485/64*z3^2-245/16*z5*ln2+ 16*ln2*li5half+2*ln2^2*li4half+1/120*ln2^6+42*li6half+20*s6; Fill Htab6(-1,1,-1,0,-1,0)=7/8*z2*z3*ln2+1/6*z2*ln2^4+11/16*z2^2*ln2^2 +605/336*z2^3-1/3*z3*ln2^3+55/16*z3^2+227/32*z5*ln2-8*ln2*li5half -2*ln2^2*li4half-7/180*ln2^6-16*li6half-9*s6; Fill Htab6(-1,1,-1,0,1,-1)=-7/8*z2*z3*ln2-1/4*z2*ln2^4+2*z2*li4half+ 93/40*z2^2*ln2^2+323/70*z2^3+1/6*z3*ln2^3+10*z3^2+1655/64*z5*ln2- 19*ln2*li5half-2*ln2^2*li4half+1/120*ln2^6-48*li6half-26*s6; Fill Htab6(-1,1,-1,0,1,1)=11/8*z2*z3*ln2+5/48*z2*ln2^4-1/16*z2^2*ln2^2 -99/140*z2^3-11/24*z3*ln2^3-273/128*z3^2-99/32*z5*ln2+3*ln2* li5half-11/720*ln2^6+7*li6half+9/4*s6; Fill Htab6(-1,1,-1,0,1,0)=-7/8*z2*z3*ln2+1/6*z2*ln2^4+51/80*z2^2*ln2^2 +433/336*z2^3-1/4*z3*ln2^3+81/16*z3^2+331/32*z5*ln2-8*ln2*li5half -2*ln2^2*li4half-7/180*ln2^6-16*li6half-9*s6; Fill Htab6(-1,1,-1,0,0,-1)=-1/8*z2*z3*ln2+1/16*z2^2*ln2^2+1769/1680* z2^3-1/8*z3*ln2^3-31/16*z3^2-295/32*z5*ln2+5*s6; Fill Htab6(-1,1,-1,0,0,1)=-11/8*z2*z3*ln2-1/24*z2*ln2^4-3/10*z2^2*ln2^2 +1/1680*z2^3+1/8*z3*ln2^3-3/4*z3^2-15/32*z5*ln2+1/360*ln2^6+2* li6half+11/4*s6; Fill Htab6(-1,1,-1,0,0,0)=3/8*z2*z3*ln2+7/40*z2^2*ln2^2+159/560*z2^3 -3/4*z3^2-2*z5*ln2; Fill Htab6(-1,1,1,-1,-1,-1)=1/2*z2*z3*ln2+1/16*z2*ln2^4+1/2*z2*li4half -3/16*z2^2*ln2^2+13/105*z2^3-7/32*z3^2-17/32*z5*ln2-ln2*li5half -1/2*ln2^2*li4half-1/80*ln2^6-li6half+1/4*s6; Fill Htab6(-1,1,1,-1,-1,1)=-1/16*z2*z3*ln2+1/48*z2*ln2^4+1/16*z2^2* ln2^2-17/560*z2^3-7/48*z3*ln2^3+15/128*z3^2+3/64*z5*ln2-1/720* ln2^6; Fill Htab6(-1,1,1,-1,-1,0)=-1/2*z2*z3*ln2-1/12*z2*ln2^4-z2*li4half+9/ 40*z2^2*ln2^2-69/280*z2^3+1/48*z3*ln2^3-113/128*z3^2-277/64*z5*ln2 +4*ln2*li5half+ln2^2*li4half+11/720*ln2^6+5*li6half+5/2*s6; Fill Htab6(-1,1,1,-1,1,-1)=-7/8*z2*z3*ln2-5/48*z2*ln2^4+1/16*z2^2*ln2^2 +3/80*z2^3+7/24*z3*ln2^3+153/64*z3^2+663/64*z5*ln2-3*ln2*li5half +11/720*ln2^6-6*li6half-6*s6; Fill Htab6(-1,1,1,-1,1,1)=-7/16*z2*z3*ln2-7/48*z2*ln2^4-3/2*z2*li4half +5/16*z2^2*ln2^2-27/35*z2^3+7/48*z3*ln2^3-131/128*z3^2-6*z5*ln2 +6*ln2*li5half+3/2*ln2^2*li4half+19/720*ln2^6+9*li6half+15/4*s6; Fill Htab6(-1,1,1,-1,1,0)=-3/8*z2*z3*ln2+5/48*z2*ln2^4+1/40*z2^2*ln2^2 +157/560*z2^3-1/6*z3*ln2^3+65/32*z3^2+247/32*z5*ln2-5*ln2*li5half -3/2*ln2^2*li4half-7/240*ln2^6-6*li6half-17/4*s6; Fill Htab6(-1,1,1,-1,0,-1)=15/8*z2*z3*ln2+19/48*z2*ln2^4+2*z2*li4half -53/40*z2^2*ln2^2-59/80*z2^3-23/48*z3*ln2^3-179/64*z3^2-287/64*z5 *ln2-ln2*li5half-2*ln2^2*li4half-1/15*ln2^6+6*li6half+6*s6; Fill Htab6(-1,1,1,-1,0,1)=19/16*z2*z3*ln2+11/48*z2*ln2^4+2*z2*li4half -59/80*z2^2*ln2^2+167/280*z2^3-5/48*z3*ln2^3+55/64*z3^2+221/32*z5 *ln2-7*ln2*li5half-2*ln2^2*li4half-3/80*ln2^6-9*li6half-15/4*s6; Fill Htab6(-1,1,1,-1,0,0)=7/16*z2*z3*ln2-1/24*z2*ln2^4-19/80*z2^2* ln2^2-51/112*z2^3+1/8*z3*ln2^3-7/4*z3^2-47/8*z5*ln2+4*ln2*li5half +ln2^2*li4half+1/60*ln2^6+6*li6half+17/4*s6; Fill Htab6(-1,1,1,1,-1,-1)=7/16*z2*z3*ln2+1/24*z2*ln2^4-1/120*z2^3-7/ 48*z3*ln2^3-153/128*z3^2-159/32*z5*ln2+ln2*li5half-1/180*ln2^6+3* li6half+3*s6; Fill Htab6(-1,1,1,1,-1,1)=7/8*z2*z3*ln2+5/24*z2*ln2^4+3/2*z2*li4half -3/8*z2^2*ln2^2+18/35*z2^3-7/24*z3*ln2^3+11/64*z3^2+4*z5*ln2-4* ln2*li5half-3/2*ln2^2*li4half-13/360*ln2^6-6*li6half-5/2*s6; Fill Htab6(-1,1,1,1,-1,0)=-3/8*z2*z3*ln2-3/16*z2*ln2^4-z2*li4half+11/ 40*z2^2*ln2^2-137/280*z2^3+13/48*z3*ln2^3-85/128*z3^2-39/8*z5*ln2 +4*ln2*li5half+3/2*ln2^2*li4half+3/80*ln2^6+6*li6half+5/2*s6; Fill Htab6(-1,1,1,1,1,-1)=-7/16*z2*z3*ln2-1/12*z2*ln2^4-1/2*z2*li4half +1/8*z2^2*ln2^2+7/48*z3*ln2^3+49/128*z3^2+ln2*li5half+1/2*ln2^2* li4half+1/72*ln2^6; Fill Htab6(-1,1,1,1,1,1)=li6half; Fill Htab6(-1,1,1,1,1,0)=-1/2*z2*z3*ln2-1/24*z2*ln2^4-1/40*z2^2*ln2^2 +1/5*z2^3+1/6*z3*ln2^3+5/8*z3^2+z5*ln2-ln2*li5half+1/240*ln2^6 -3*li6half-1/2*s6; Fill Htab6(-1,1,1,1,0,-1)=3/4*z2*z3*ln2+1/24*z2*ln2^4+z2*li4half+23/ 40*z2^2*ln2^2+927/560*z2^3-1/4*z3*ln2^3+107/128*z3^2-27/32*z5*ln2 -4*ln2*li5half-1/2*ln2^2*li4half-1/360*ln2^6-11*li6half-13/4*s6; Fill Htab6(-1,1,1,1,0,1)=z2*z3*ln2+1/16*z2*ln2^4+1/2*z2*li4half+9/80 *z2^2*ln2^2-23/35*z2^3-1/3*z3*ln2^3-55/32*z3^2-4*z5*ln2+4*ln2* li5half+1/2*ln2^2*li4half-1/240*ln2^6+6*li6half+9/4*s6; Fill Htab6(-1,1,1,1,0,0)=-1/16*z2*ln2^4+1/2*z2*li4half+9/80*z2^2*ln2^2 +87/140*z2^3+1/6*z3*ln2^3+19/32*z3^2+33/32*z5*ln2-2*ln2*li5half +1/90*ln2^6-4*li6half-7/4*s6; Fill Htab6(-1,1,1,0,-1,-1)=-1/16*z2*z3*ln2+1/8*z2*ln2^4-3/5*z2^2*ln2^2 -103/560*z2^3+1/48*z3*ln2^3+25/64*z3^2+291/64*z5*ln2-3*ln2* li5half-3/2*ln2^2*li4half-3/80*ln2^6-3/4*s6; Fill Htab6(-1,1,1,0,-1,1)=-17/8*z2*z3*ln2-17/24*z2*ln2^4-7/2*z2*li4half +29/8*z2^2*ln2^2+203/80*z2^3+13/48*z3*ln2^3+313/64*z3^2-99/32*z5* ln2+3*ln2*li5half+7/2*ln2^2*li4half+1/10*ln2^6-15*li6half-37/4*s6 ; Fill Htab6(-1,1,1,0,-1,0)=7/16*z2*z3*ln2+7/48*z2*ln2^4+3/2*z2*li4half -17/16*z2^2*ln2^2-1487/840*z2^3-1/4*z3*ln2^3-29/8*z3^2-103/32*z5* ln2+4*ln2*li5half-1/60*ln2^6+12*li6half+7*s6; Fill Htab6(-1,1,1,0,1,-1)=1/2*z2*z3*ln2+1/3*z2*ln2^4+1/2*z2*li4half- 59/20*z2^2*ln2^2-2259/560*z2^3+13/48*z3*ln2^3-293/64*z3^2+81/64*z5* ln2+6*ln2*li5half-1/2*ln2^2*li4half-1/30*ln2^6+27*li6half+43/4*s6 ; Fill Htab6(-1,1,1,0,1,1)=-1/16*z2*z3*ln2+7/48*z2*ln2^4+3/2*z2*li4half -5/16*z2^2*ln2^2+27/35*z2^3+1/48*z3*ln2^3+243/128*z3^2+6*z5*ln2 -6*ln2*li5half-3/2*ln2^2*li4half-19/720*ln2^6-10*li6half-15/4*s6; Fill Htab6(-1,1,1,0,1,0)=-7/16*z2*z3*ln2+1/48*z2*ln2^4-3/2*z2*li4half -21/80*z2^2*ln2^2-611/420*z2^3-1/3*z3*ln2^3-61/32*z3^2-73/64*z5* ln2+4*ln2*li5half-1/60*ln2^6+12*li6half+17/4*s6; Fill Htab6(-1,1,1,0,0,-1)=9/16*z2*z3*ln2+7/48*z2*ln2^4+1/2*z2*li4half -3/16*z2^2*ln2^2+143/840*z2^3-1/6*z3*ln2^3+33/64*z3^2+1/64*z5*ln2 -2*ln2*li5half-ln2^2*li4half-1/36*ln2^6-2*li6half-1/4*s6; Fill Htab6(-1,1,1,0,0,1)=-3/8*z2*z3*ln2-1/6*z2*ln2^4-2*z2*li4half+4/5 *z2^2*ln2^2+37/120*z2^3+1/6*z3*ln2^3+179/128*z3^2-125/64*z5*ln2+2 *ln2*li5half+ln2^2*li4half+1/40*ln2^6-3/2*s6; Fill Htab6(-1,1,1,0,0,0)=1/2*z2*z3*ln2+1/24*z2*ln2^4+z2*li4half-17/ 40*z2^2*ln2^2-59/280*z2^3-65/64*z3^2-29/32*z5*ln2+3/2*s6; Fill Htab6(-1,1,0,-1,-1,-1)=-7/16*z2*z3*ln2+1/12*z2*ln2^4-1/2*z2* li4half-3/40*z2^2*ln2^2-3/7*z2^3-7/24*z3*ln2^3-107/64*z3^2-333/64 *z5*ln2+3*ln2*li5half-11/720*ln2^6+7*li6half+19/4*s6; Fill Htab6(-1,1,0,-1,-1,1)=-11/48*z2*ln2^4+z2*li4half+87/80*z2^2*ln2^2 +189/80*z2^3+7/16*z3*ln2^3+459/128*z3^2+457/64*z5*ln2-7*ln2* li5half-ln2^2*li4half-1/80*ln2^6-21*li6half-10*s6; Fill Htab6(-1,1,0,-1,-1,0)=11/8*z2*z3*ln2+1/16*z2^2*ln2^2-17/112*z2^3 +19/128*z3^2-53/64*z5*ln2-s6; Fill Htab6(-1,1,0,-1,1,-1)=2/3*z2*ln2^4-23/5*z2^2*ln2^2-1537/280*z2^3 -39/4*z3^2-845/64*z5*ln2+11*ln2*li5half-1/40*ln2^6+48*li6half+ 26*s6; Fill Htab6(-1,1,0,-1,1,1)=21/16*z2*z3*ln2-1/24*z2*ln2^4+z2*li4half+ 197/80*z2^2*ln2^2+1987/560*z2^3-7/16*z3*ln2^3+597/128*z3^2+221/32* z5*ln2-7*ln2*li5half-ln2^2*li4half-1/40*ln2^6-30*li6half-31/2*s6; Fill Htab6(-1,1,0,-1,1,0)=-1/2*z2*z3*ln2-1/6*z2*ln2^4-45/16*z2^2*ln2^2 -3277/560*z2^3-37/4*z3^2-547/32*z5*ln2+16*ln2*li5half+2*ln2^2* li4half+1/60*ln2^6+48*li6half+26*s6; Fill Htab6(-1,1,0,-1,0,-1)=-27/8*z2*z3*ln2-1/3*z2*ln2^4-4*z2*li4half+ 3/16*z2^2*ln2^2-369/560*z2^3+7/12*z3*ln2^3-69/32*z3^2-123/16*z5*ln2 +8*ln2*li5half+2*ln2^2*li4half+7/180*ln2^6+16*li6half+8*s6; Fill Htab6(-1,1,0,-1,0,1)=-13/4*z2*z3*ln2-2*z2*li4half+37/80*z2^2*ln2^2 +251/112*z2^3+173/64*z3^2+123/16*z5*ln2-8*ln2*li5half-2*ln2^2* li4half-1/30*ln2^6-12*li6half-9/2*s6; Fill Htab6(-1,1,0,-1,0,0)=-3/4*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half-1/ 40*z2^2*ln2^2+347/336*z2^3-3/32*z3^2+21/32*z5*ln2-s6; Fill Htab6(-1,1,0,1,-1,-1)=-21/16*z2*z3*ln2-3/4*z2*ln2^4-z2*li4half+ 139/40*z2^2*ln2^2+55/16*z2^3+7/16*z3*ln2^3+441/64*z3^2+275/32*z5* ln2-4*ln2*li5half+5/2*ln2^2*li4half+23/240*ln2^6-30*li6half-35/2* s6; Fill Htab6(-1,1,0,1,-1,1)=41/48*z2*ln2^4+3/2*z2*li4half-447/80*z2^2* ln2^2-681/112*z2^3-39/4*z3^2-61/8*z5*ln2+8*ln2*li5half-3/2*ln2^2* li4half-1/16*ln2^6+48*li6half+26*s6; Fill Htab6(-1,1,0,1,-1,0)=-1/2*z2*z3*ln2+5/48*z2*ln2^4-3/2*z2*li4half +55/16*z2^2*ln2^2+853/140*z2^3+41/4*z3^2+507/32*z5*ln2-16*ln2* li5half-2*ln2^2*li4half-1/60*ln2^6-48*li6half-26*s6; Fill Htab6(-1,1,0,1,1,-1)=21/16*z2*z3*ln2-1/3*z2*ln2^4+1/2*z2*li4half +39/16*z2^2*ln2^2+107/28*z2^3-7/16*z3*ln2^3+237/64*z3^2-23/64*z5* ln2-8*ln2*li5half-1/2*ln2^2*li4half+1/120*ln2^6-27*li6half-43/4* s6; Fill Htab6(-1,1,0,1,1,1)=-7/8*z2*z3*ln2-5/24*z2*ln2^4-3/2*z2*li4half+ 7/40*z2^2*ln2^2-11/35*z2^3+7/24*z3*ln2^3-11/64*z3^2-4*z5*ln2+4* ln2*li5half+3/2*ln2^2*li4half+13/360*ln2^6+5*li6half+5/2*s6; Fill Htab6(-1,1,0,1,1,0)=11/8*z2*z3*ln2+1/16*z2*ln2^4+3/2*z2*li4half -1/8*z2^2*ln2^2+1/14*z2^3-7/4*z3^2-177/64*z5*ln2+s6; Fill Htab6(-1,1,0,1,0,-1)=-15/8*z2*z3*ln2-13/48*z2*ln2^4-5/2*z2*li4half -21/80*z2^2*ln2^2-111/56*z2^3+7/12*z3*ln2^3-33/32*z3^2-1/16*z5* ln2+8*ln2*li5half+2*ln2^2*li4half+7/180*ln2^6+16*li6half+4*s6; Fill Htab6(-1,1,0,1,0,1)=-1/4*z2*z3*ln2+1/8*z2*ln2^4+z2*li4half-2/5* z2^2*ln2^2+731/560*z2^3+119/64*z3^2+125/16*z5*ln2-8*ln2*li5half-2 *ln2^2*li4half-1/30*ln2^6-12*li6half-19/4*s6; Fill Htab6(-1,1,0,1,0,0)=-z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half-1/10* z2^2*ln2^2+205/336*z2^3+41/32*z3^2+41/32*z5*ln2-s6; Fill Htab6(-1,1,0,0,-1,-1)=7/8*z2*z3*ln2+1/12*z2*ln2^4+z2*li4half+1/ 8*z2^2*ln2^2+17/40*z2^3-7/24*z3*ln2^3-3/4*z3^2-35/8*z5*ln2-1/360* ln2^6-2*li6half+5/4*s6; Fill Htab6(-1,1,0,0,-1,1)=3/2*z2*z3*ln2+1/8*z2*ln2^4+23/40*z2^2*ln2^2 +453/560*z2^3+25/32*z3^2-15/32*z5*ln2-1/120*ln2^6-6*li6half-17/ 4*s6; Fill Htab6(-1,1,0,0,-1,0)=3/8*z2*z3*ln2+21/40*z2^2*ln2^2-187/336*z2^3 +3/4*z3^2+11/32*z5*ln2-s6; Fill Htab6(-1,1,0,0,1,-1)=-3/2*z2*z3*ln2-1/6*z2*ln2^4-19/80*z2^2*ln2^2 -19/80*z2^3+1/2*z3^2+311/64*z5*ln2-2*ln2*li5half+1/60*ln2^6; Fill Htab6(-1,1,0,0,1,1)=7/8*z2*z3*ln2+1/12*z2*ln2^4-1/20*z2^2*ln2^2 -19/80*z2^3-7/24*z3*ln2^3-111/64*z3^2-125/64*z5*ln2+2*ln2*li5half -1/90*ln2^6+4*li6half+5/4*s6; Fill Htab6(-1,1,0,0,1,0)=-3/8*z2*z3*ln2+3/5*z2^2*ln2^2-1501/1680*z2^3 +7/4*z3^2+51/32*z5*ln2-s6; Fill Htab6(-1,1,0,0,0,-1)=-3/8*z2*z3*ln2-7/40*z2^2*ln2^2+335/336*z2^3 -57/32*z3^2-107/16*z5*ln2+4*s6; Fill Htab6(-1,1,0,0,0,1)=-3/4*z2*z3*ln2-1/5*z2^2*ln2^2+97/210*z2^3-53/ 64*z3^2-17/16*z5*ln2+3/2*s6; Fill Htab6(-1,1,0,0,0,0)=111/280*z2^3-9/32*z3^2-15/16*z5*ln2; Fill Htab6(-1,0,-1,-1,-1,-1)=-7/48*z2*ln2^4-8/7*z2^3+7/24*z3*ln2^3+z5 *ln2+4*ln2*li5half+3/2*ln2^2*li4half+13/360*ln2^6+5*li6half; Fill Htab6(-1,0,-1,-1,-1,1)=-7/16*z2*z3*ln2+11/48*z2*ln2^4+2*z2*li4half -17/40*z2^2*ln2^2+8/35*z2^3-7/24*z3*ln2^3-17/32*z3^2-1/32*z5*ln2 -2*ln2*li5half-2*ln2^2*li4half-17/240*ln2^6-3*li6half+2*s6; Fill Htab6(-1,0,-1,-1,-1,0)=-3/8*z2*z3*ln2-1/16*z2*ln2^4-3/2*z2*li4half +3/8*z2^2*ln2^2+1/15*z2^3+59/64*z3^2+3*z5*ln2-5/2*s6; Fill Htab6(-1,0,-1,-1,1,-1)=21/8*z2*z3*ln2+19/48*z2*ln2^4-29/20*z2^2* ln2^2-52/35*z2^3-7/16*z3*ln2^3-39/32*z3^2+61/32*z5*ln2-2*ln2* li5half+7/240*ln2^6+9*li6half+3/2*s6; Fill Htab6(-1,0,-1,-1,1,1)=-3/2*z2*z3*ln2-3/8*z2*ln2^4-3/2*z2*li4half +167/80*z2^2*ln2^2+479/280*z2^3+7/16*z3*ln2^3+179/64*z3^2-277/64* z5*ln2+4*ln2*li5half+3/2*ln2^2*li4half+1/72*ln2^6-11*li6half-17/4 *s6; Fill Htab6(-1,0,-1,-1,1,0)=17/8*z2*z3*ln2-7/48*z2*ln2^4+1/2*z2*li4half -33/20*z2^2*ln2^2-352/105*z2^3-289/64*z3^2-99/64*z5*ln2+4*ln2* li5half+24*li6half+8*s6; Fill Htab6(-1,0,-1,-1,0,-1)=-1/8*z2*z3*ln2+1/16*z2*ln2^4+3/2*z2*li4half -3/8*z2^2*ln2^2-3/5*z2^3+1/32*z3^2+177/64*z5*ln2; Fill Htab6(-1,0,-1,-1,0,1)=37/16*z2*z3*ln2+1/8*z2*ln2^4+3*z2*li4half -3/4*z2^2*ln2^2-87/112*z2^3-131/128*z3^2-53/64*z5*ln2+3/4*s6; Fill Htab6(-1,0,-1,-1,0,0)=-1/2*z2*z3*ln2-22/105*z2^3+25/32*z3^2-1/2* z5*ln2+s6; Fill Htab6(-1,0,-1,1,-1,-1)=-21/16*z2*z3*ln2-7/24*z2*ln2^4+7/5*z2^2* ln2^2+86/35*z2^3+39/64*z3^2-343/64*z5*ln2-2*ln2*li5half-3/2*ln2^2 *li4half-1/16*ln2^6-12*li6half-3/4*s6; Fill Htab6(-1,0,-1,1,-1,1)=3/8*z2*z3*ln2+13/24*z2*ln2^4-127/40*z2^2* ln2^2-799/280*z2^3-247/64*z3^2+z5*ln2+11/360*ln2^6+22*li6half+ 10*s6; Fill Htab6(-1,0,-1,1,-1,0)=-1/2*z2*z3*ln2+1/3*z2*ln2^4+19/5*z2^2*ln2^2 +1339/210*z2^3+8*z3^2+19/4*z5*ln2-8*ln2*li5half-48*li6half-21* s6; Fill Htab6(-1,0,-1,1,1,-1)=-21/16*z2*z3*ln2-3/8*z2*ln2^4-3/20*z2^2* ln2^2+1/20*z2^3+7/16*z3*ln2^3+165/64*z3^2+101/8*z5*ln2-6*ln2* li5half+1/24*ln2^6-6*li6half-6*s6; Fill Htab6(-1,0,-1,1,1,1)=7/16*z2*z3*ln2+1/48*z2*ln2^4-1/2*z2*li4half +77/80*z2^2*ln2^2+559/560*z2^3-7/16*z3*ln2^3-1/2*z3^2-39/8*z5*ln2 +4*ln2*li5half+1/2*ln2^2*li4half-13/720*ln2^6-4*li6half-s6; Fill Htab6(-1,0,-1,1,1,0)=-5/4*z2*z3*ln2-5/24*z2*ln2^4-z2*li4half-9/ 10*z2^2*ln2^2-5651/1680*z2^3-133/64*z3^2-7/8*z5*ln2+4*ln2*li5half +24*li6half+9*s6; Fill Htab6(-1,0,-1,1,0,-1)=-13/8*z2*z3*ln2+1/4*z2*ln2^4-2*z2*li4half- 29/10*z2^2*ln2^2-1121/280*z2^3-347/32*z3^2-817/32*z5*ln2+16*ln2* li5half-1/15*ln2^6+48*li6half+30*s6; Fill Htab6(-1,0,-1,1,0,1)=-1/8*z2*z3*ln2+1/6*z2*ln2^4-3/8*z2^2*ln2^2+ 41/14*z2^3+139/32*z3^2+507/32*z5*ln2-16*ln2*li5half-4*ln2^2*li4half -1/15*ln2^6-24*li6half-23/2*s6; Fill Htab6(-1,0,-1,1,0,0)=-3/8*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half-7/ 4*z2^2*ln2^2+485/336*z2^3-57/32*z3^2-139/32*z5*ln2+4*s6; Fill Htab6(-1,0,-1,0,-1,-1)=3/2*z2*z3*ln2-1/12*z2*ln2^4-86/35*z2^3- 43/64*z3^2-5/16*z5*ln2+8*ln2*li5half+2*ln2^2*li4half+1/30*ln2^6+ 12*li6half+3/4*s6; Fill Htab6(-1,0,-1,0,-1,1)=1/8*z2*z3*ln2+1/2*z2*ln2^4+4*z2*li4half- 27/10*z2^2*ln2^2-97/140*z2^3-53/32*z3^2+227/32*z5*ln2-8*ln2*li5half -4*ln2^2*li4half-1/10*ln2^6+4*s6; Fill Htab6(-1,0,-1,0,-1,0)=z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+1/2* z2^2*ln2^2+3/560*z2^3+23/16*z3^2+2*z5*ln2-4*s6; Fill Htab6(-1,0,-1,0,1,-1)=5/2*z2*z3*ln2+17/10*z2^2*ln2^2+76/35*z2^3 -7/12*z3*ln2^3+77/32*z3^2-13/8*z5*ln2-4*ln2*li5half+1/90*ln2^6- 16*li6half-8*s6; Fill Htab6(-1,0,-1,0,1,1)=-17/16*z2*z3*ln2-1/3*z2*ln2^4-2*z2*li4half+ 1/2*z2^2*ln2^2-87/280*z2^3+7/12*z3*ln2^3+105/128*z3^2-103/32*z5*ln2 +4*ln2*li5half+2*ln2^2*li4half+1/18*ln2^6+4*li6half+s6; Fill Htab6(-1,0,-1,0,1,0)=5/2*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2-97/560*z2^3-27/16*z3^2-2*z5*ln2; Fill Htab6(-1,0,-1,0,0,-1)=z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/2* z2^2*ln2^2-589/336*z2^3+49/32*z3^2+361/32*z5*ln2-5*s6; Fill Htab6(-1,0,-1,0,0,1)=7/8*z2*z3*ln2+1/6*z2*ln2^4+4*z2*li4half- z2^2*ln2^2-11/12*z2^3-87/64*z3^2+11/32*z5*ln2+5/2*s6; Fill Htab6(-1,0,-1,0,0,0)=-391/420*z2^3+9/4*z3^2+4*z5*ln2-4*s6; Fill Htab6(-1,0,1,-1,-1,-1)=7/16*z2*z3*ln2+1/12*z2*ln2^4-1/40*z2^2* ln2^2-18/35*z2^3+107/64*z3^2+463/64*z5*ln2-ln2*li5half+1/2*ln2^2* li4half+19/720*ln2^6-2*li6half-19/4*s6; Fill Htab6(-1,0,1,-1,-1,1)=-1/12*z2*ln2^4-1/20*z2^2*ln2^2+1/56*z2^3+ 33/64*z5*ln2-ln2*li5half+1/120*ln2^6; Fill Htab6(-1,0,1,-1,-1,0)=1/8*z2*z3*ln2-1/8*z2*ln2^4+z2*li4half-101/ 40*z2^2*ln2^2-5731/1680*z2^3-557/128*z3^2-99/64*z5*ln2+4*ln2* li5half+24*li6half+23/2*s6; Fill Htab6(-1,0,1,-1,1,-1)=15/16*z2*z3*ln2-5/12*z2*ln2^4+127/40*z2^2* ln2^2+20/7*z2^3-7/16*z3*ln2^3+41/32*z3^2-773/64*z5*ln2+3*ln2* li5half-17/360*ln2^6-16*li6half-4*s6; Fill Htab6(-1,0,1,-1,1,1)=21/16*z2*z3*ln2+19/48*z2*ln2^4+3/2*z2* li4half-61/16*z2^2*ln2^2-261/80*z2^3+7/16*z3*ln2^3-147/64*z3^2+ 247/32*z5*ln2-5*ln2*li5half-3/2*ln2^2*li4half+1/240*ln2^6+18* li6half+7*s6; Fill Htab6(-1,0,1,-1,1,0)=5/16*z2*z3*ln2+1/3*z2*ln2^4+19/5*z2^2*ln2^2 +5687/840*z2^3+55/8*z3^2+3*z5*ln2-8*ln2*li5half-48*li6half-21* s6; Fill Htab6(-1,0,1,-1,0,-1)=17/16*z2*z3*ln2-1/4*z2*ln2^4+2*z2*li4half +29/10*z2^2*ln2^2+55/14*z2^3+11*z3^2+857/32*z5*ln2-16*ln2*li5half +1/15*ln2^6-48*li6half-30*s6; Fill Htab6(-1,0,1,-1,0,1)=-5/8*z2*z3*ln2-1/6*z2*ln2^4+3/8*z2^2*ln2^2- 19/7*z2^3-599/128*z3^2-547/32*z5*ln2+16*ln2*li5half+4*ln2^2*li4half +1/15*ln2^6+24*li6half+13*s6; Fill Htab6(-1,0,1,-1,0,0)=3/4*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half+7/ 4*z2^2*ln2^2-559/336*z2^3+15/8*z3^2+171/32*z5*ln2-4*s6; Fill Htab6(-1,0,1,1,-1,-1)=3/16*z2*z3*ln2+23/48*z2*ln2^4-121/80*z2^2* ln2^2-8/5*z2^3-211/128*z3^2+95/64*z5*ln2+ln2*li5half-1/2*ln2^2* li4half-1/72*ln2^6+11*li6half+17/4*s6; Fill Htab6(-1,0,1,1,-1,1)=-21/8*z2*z3*ln2-13/16*z2*ln2^4-2*z2*li4half +303/80*z2^2*ln2^2+989/280*z2^3+501/128*z3^2-125/32*z5*ln2+ln2* li5half+2*ln2^2*li4half+11/240*ln2^6-21*li6half-33/4*s6; Fill Htab6(-1,0,1,1,-1,0)=13/8*z2*z3*ln2-5/48*z2*ln2^4+3/2*z2*li4half -121/40*z2^2*ln2^2-3097/840*z2^3-569/128*z3^2-7/8*z5*ln2+4*ln2* li5half+24*li6half+21/2*s6; Fill Htab6(-1,0,1,1,1,-1)=7/16*z2*z3*ln2+13/48*z2*ln2^4-11/16*z2^2* ln2^2-481/280*z2^3+7/48*z3*ln2^3-177/128*z3^2-1/32*z5*ln2+3*ln2* li5half-7/720*ln2^6+11*li6half+13/4*s6; Fill Htab6(-1,0,1,1,1,1)=7/16*z2*z3*ln2+1/12*z2*ln2^4+1/2*z2*li4half -1/8*z2^2*ln2^2-7/48*z3*ln2^3-49/128*z3^2+z5*ln2-ln2*li5half-1/ 2*ln2^2*li4half-1/72*ln2^6-li6half; Fill Htab6(-1,0,1,1,1,0)=9/16*z2*z3*ln2-1/48*z2*ln2^4-1/2*z2*li4half +1/8*z2^2*ln2^2-13/60*z2^3+17/16*z3^2+59/32*z5*ln2-5/2*s6; Fill Htab6(-1,0,1,1,0,-1)=-5/8*z2*z3*ln2-1/48*z2*ln2^4-1/2*z2*li4half +1/8*z2^2*ln2^2+1/16*z2^3+25/128*z3^2+53/64*z5*ln2; Fill Htab6(-1,0,1,1,0,1)=-23/8*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+1/4 *z2^2*ln2^2+89/112*z2^3-65/128*z3^2-177/64*z5*ln2+15/4*s6; Fill Htab6(-1,0,1,1,0,0)=z2*z3*ln2-493/1680*z2^3+7/64*z3^2+23/16*z5* ln2-s6; Fill Htab6(-1,0,1,0,-1,-1)=7/16*z2*z3*ln2-1/12*z2*ln2^4-61/35*z2^3- 59/32*z3^2-11/2*z5*ln2+8*ln2*li5half+2*ln2^2*li4half+1/30*ln2^6+ 12*li6half+9/2*s6; Fill Htab6(-1,0,1,0,-1,1)=51/16*z2*z3*ln2+1/2*z2*ln2^4+4*z2*li4half- 123/40*z2^2*ln2^2-183/140*z2^3-155/128*z3^2+331/32*z5*ln2-8*ln2* li5half-4*ln2^2*li4half-1/10*ln2^6; Fill Htab6(-1,0,1,0,-1,0)=-3/2*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+1/ 2*z2^2*ln2^2+75/112*z2^3+15/16*z3^2-2*z5*ln2; Fill Htab6(-1,0,1,0,1,-1)=-1/16*z2*z3*ln2+83/40*z2^2*ln2^2+20/7*z2^3- 7/12*z3*ln2^3+53/32*z3^2-361/64*z5*ln2-4*ln2*li5half+1/90*ln2^6- 16*li6half-4*s6; Fill Htab6(-1,0,1,0,1,1)=5/4*z2*z3*ln2-1/3*z2*ln2^4-2*z2*li4half+1/2 *z2^2*ln2^2-411/560*z2^3+7/12*z3*ln2^3+9/8*z3^2-73/64*z5*ln2+4* ln2*li5half+2*ln2^2*li4half+1/18*ln2^6+4*li6half-9/4*s6; Fill Htab6(-1,0,1,0,1,0)=-1/4*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2+37/80*z2^3-2*z3^2-23/4*z5*ln2+4*s6; Fill Htab6(-1,0,1,0,0,-1)=15/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half- 1/2*z2^2*ln2^2-403/240*z2^3+9/8*z3^2+321/32*z5*ln2-5*s6; Fill Htab6(-1,0,1,0,0,1)=3/2*z2*z3*ln2+1/6*z2*ln2^4+4*z2*li4half- z2^2*ln2^2-13/12*z2^3-43/32*z3^2+51/32*z5*ln2+3/2*s6; Fill Htab6(-1,0,1,0,0,0)=-143/168*z2^3+33/16*z3^2+15/4*z5*ln2-4*s6; Fill Htab6(-1,0,0,-1,-1,-1)=-1/2*z2*z3*ln2-1/12*z2*ln2^4+86/105*z2^3+ 7/24*z3*ln2^3+7/32*z3^2-35/64*z5*ln2-2*ln2*li5half+1/90*ln2^6-4* li6half-1/4*s6; Fill Htab6(-1,0,0,-1,-1,1)=-1/8*z2*z3*ln2+1/24*z2*ln2^4-z2*li4half+23/ 16*z2^2*ln2^2+2113/1680*z2^3-7/24*z3*ln2^3+211/128*z3^2-151/64*z5* ln2+2*ln2*li5half+ln2^2*li4half+1/72*ln2^6-8*li6half-4*s6; Fill Htab6(-1,0,0,-1,-1,0)=-7/8*z2*z3*ln2+113/560*z2^3-17/64*z3^2-1/2 *z5*ln2+s6; Fill Htab6(-1,0,0,-1,1,-1)=1/2*z2*z3*ln2-1/3*z2*ln2^4-1/5*z2^2*ln2^2 -79/84*z2^3+7/4*z3^2+343/32*z5*ln2-4*ln2*li5half+1/30*ln2^6-5* s6; Fill Htab6(-1,0,0,-1,1,1)=-13/8*z2*z3*ln2+1/24*z2*ln2^4-z2*li4half+47/ 80*z2^2*ln2^2+1139/1680*z2^3-55/128*z3^2-47/8*z5*ln2+4*ln2*li5half +ln2^2*li4half+1/120*ln2^6+5/2*s6; Fill Htab6(-1,0,0,-1,1,0)=9/4*z2^2*ln2^2-523/560*z2^3+9/4*z3^2+171/ 32*z5*ln2-6*s6; Fill Htab6(-1,0,0,-1,0,-1)=-5/8*z2*z3*ln2+337/336*z2^3-55/32*z3^2-269/ 32*z5*ln2+5*s6; Fill Htab6(-1,0,0,-1,0,1)=9/4*z2*z3*ln2-53/168*z2^3+15/64*z3^2+21/32 *z5*ln2-5/2*s6; Fill Htab6(-1,0,0,-1,0,0)=23/28*z2^3-63/32*z3^2-6*z5*ln2+6*s6; Fill Htab6(-1,0,0,1,-1,-1)=-13/16*z2*z3*ln2+3/8*z2*ln2^4-79/80*z2^2* ln2^2+31/168*z2^3-173/64*z3^2-215/32*z5*ln2-2*ln2^2*li4half-3/40* ln2^6+6*li6half+31/4*s6; Fill Htab6(-1,0,0,1,-1,1)=z2*z3*ln2-5/12*z2*ln2^4-z2*li4half+1/20* z2^2*ln2^2-1609/1680*z2^3-1/32*z3^2+15/8*z5*ln2+ln2^2*li4half+1/ 20*ln2^6+6*li6half-3/4*s6; Fill Htab6(-1,0,0,1,-1,0)=1/24*z2*ln2^4+z2*li4half-5/2*z2^2*ln2^2+ 173/280*z2^3-9/4*z3^2-139/32*z5*ln2+6*s6; Fill Htab6(-1,0,0,1,1,-1)=-15/16*z2*z3*ln2+1/8*z2*ln2^4-11/80*z2^2* ln2^2-52/105*z2^3+7/24*z3*ln2^3+9/64*z3^2+15/8*z5*ln2+2*ln2* li5half-1/72*ln2^6+2*li6half+1/4*s6; Fill Htab6(-1,0,0,1,1,1)=-1/8*z2*z3*ln2+1/6*z2*ln2^4+z2*li4half-1/4* z2^2*ln2^2+257/840*z2^3-7/24*z3*ln2^3-41/64*z3^2+33/32*z5*ln2-2* ln2*li5half-ln2^2*li4half-1/36*ln2^6-2*li6half+1/2*s6; Fill Htab6(-1,0,0,1,1,0)=-7/8*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+1/4* z2^2*ln2^2-13/280*z2^3+5/4*z3^2+23/16*z5*ln2-s6; Fill Htab6(-1,0,0,1,0,-1)=-9/8*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+1/4 *z2^2*ln2^2+161/120*z2^3-51/32*z3^2-289/32*z5*ln2+5*s6; Fill Htab6(-1,0,0,1,0,1)=5/4*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+1/ 2*z2^2*ln2^2+23/168*z2^3+59/64*z3^2+41/32*z5*ln2-7/2*s6; Fill Htab6(-1,0,0,1,0,0)=271/280*z2^3-81/32*z3^2-45/8*z5*ln2+6*s6; Fill Htab6(-1,0,0,0,-1,-1)=1/2*z2*z3*ln2-43/84*z2^3+55/64*z3^2+63/16 *z5*ln2-5/2*s6; Fill Htab6(-1,0,0,0,-1,1)=-15/8*z2*z3*ln2-3/4*z2^2*ln2^2+47/105*z2^3- 21/32*z3^2-2*z5*ln2+4*s6; Fill Htab6(-1,0,0,0,-1,0)=-313/840*z2^3+15/16*z3^2+4*z5*ln2-4*s6; Fill Htab6(-1,0,0,0,1,-1)=3/2*z2*z3*ln2+3/4*z2^2*ln2^2-491/840*z2^3+ 33/32*z3^2+91/32*z5*ln2-4*s6; Fill Htab6(-1,0,0,0,1,1)=-z2*z3*ln2+71/840*z2^3+1/8*z3^2-29/32*z5*ln2 +3/2*s6; Fill Htab6(-1,0,0,0,1,0)=-239/840*z2^3+3/4*z3^2+15/4*z5*ln2-4*s6; Fill Htab6(-1,0,0,0,0,-1)=-7/40*z2^3+9/32*z3^2+15/16*z5*ln2; Fill Htab6(-1,0,0,0,0,1)=-15/16*z5*ln2+s6; Fill Htab6(-1,0,0,0,0,0)=-31/140*z2^3; Fill Htab6(1,-1,-1,-1,-1,-1)=-1/24*z2*ln2^4-1/5*z2^2*ln2^2-8/35*z2^3+ 1/6*z3*ln2^3+z5*ln2+1/120*ln2^5*Sinf+1/120*ln2^6+li6half; Fill Htab6(1,-1,-1,-1,-1,1)=7/16*z2*z3*ln2+1/6*z2*ln2^3*Sinf+1/6*z2* ln2^4+1/2*z2*li4half+3/40*z2^2*ln2^2-1/5*z2^3-7/16*z3*ln2^2*Sinf- 11/24*z3*ln2^3+1/128*z3^2+z5*Sinf-ln2*Sinf*li4half-1/2*ln2^2* li4half-1/24*ln2^5*Sinf-1/36*ln2^6-Sinf*li5half; Fill Htab6(1,-1,-1,-1,-1,0)=-z2*z3*ln2-1/6*z2*ln2^3*Sinf-1/8*z2*ln2^4 -2/5*z2^2*ln2*Sinf-1/20*z2^2*ln2^2+6/35*z2^3+1/2*z3*ln2^2*Sinf+1/ 3*z3*ln2^3-1/4*z3^2+z5*Sinf+1/120*ln2^5*Sinf-Sinf*li5half+s6; Fill Htab6(1,-1,-1,-1,1,-1)=-3/8*z2*z3*ln2-5/12*z2*ln2^3*Sinf-7/24*z2* ln2^4-3/2*z2*li4half+2/5*z2^2*ln2*Sinf+39/40*z2^2*ln2^2+151/105* z2^3+7/8*z3*ln2^2*Sinf+5/12*z3*ln2^3+59/64*z3^2-3*z5*ln2-4*z5* Sinf+3*ln2*Sinf*li4half+3/2*ln2^2*li4half+1/12*ln2^5*Sinf+17/360* ln2^6+4*Sinf*li5half-6*li6half-5/2*s6; Fill Htab6(1,-1,-1,-1,1,1)=-23/16*z2*z3*ln2-1/2*z2*z3*Sinf-1/12*z2* ln2^3*Sinf-1/12*z2*ln2^4-2/5*z2^2*ln2*Sinf-3/5*z2^2*ln2^2-27/56* z2^3+7/16*z3*ln2^2*Sinf+11/24*z3*ln2^3+23/128*z3^2+63/32*z5*Sinf+ 1/60*ln2^5*Sinf+1/90*ln2^6-Sinf*li5half+3*li6half+3*s6; Fill Htab6(1,-1,-1,-1,1,0)=z2*z3*ln2+7/16*z2*z3*Sinf-1/3*z2*ln2^3*Sinf -5/24*z2*ln2^4-1/2*z2*li4half+2/5*z2^2*ln2*Sinf+7/40*z2^2*ln2^2+ 177/280*z2^3+13/16*z3*ln2^2*Sinf+13/24*z3*ln2^3+1/64*z3^2-39/8*z5* Sinf+3*ln2*Sinf*li4half+3/2*ln2^2*li4half+11/120*ln2^5*Sinf+7/120* ln2^6+4*Sinf*li5half-3*li6half-3*s6; Fill Htab6(1,-1,-1,-1,0,-1)=3/2*z2*z3*ln2+1/6*z2*ln2^3*Sinf+1/8*z2* ln2^4+6/5*z2^2*ln2*Sinf+9/20*z2^2*ln2^2-36/35*z2^3-z3*ln2^2*Sinf- 2/3*z3*ln2^3+1/2*z3^2+31/32*z5*ln2-4*z5*Sinf+ln2*Sinf*li4half+3* ln2*li5half+1/2*ln2^2*li4half+1/120*ln2^5*Sinf+4*Sinf*li5half+3* li6half-2*s6; Fill Htab6(1,-1,-1,-1,0,1)=35/16*z2*z3*ln2+7/16*z2*z3*Sinf+1/3*z2* ln2^3*Sinf+11/48*z2*ln2^4+3/2*z2*li4half+3/40*z2^2*ln2*Sinf-53/80* z2^2*ln2^2-509/560*z2^3-3/4*z3*ln2^2*Sinf-1/2*z3*ln2^3-191/128*z3^2 +1/8*z5*Sinf-ln2*Sinf*li4half-1/2*ln2^2*li4half-1/30*ln2^5*Sinf- 11/720*ln2^6-Sinf*li5half+4*li6half+s6; Fill Htab6(1,-1,-1,-1,0,0)=-z2*z3*ln2-1/2*z2*z3*Sinf+1/6*z2*ln2^3*Sinf +1/12*z2*ln2^4-z2*li4half+3/4*z2^2*ln2*Sinf+11/10*z2^2*ln2^2+107/ 140*z2^3-1/2*z3*ln2^2*Sinf-1/3*z3*ln2^3+9/4*z3^2-33/32*z5*Sinf-1/ 60*ln2^5*Sinf-1/120*ln2^6+2*Sinf*li5half-6*li6half-3*s6; Fill Htab6(1,-1,-1,1,-1,-1)=-1/16*z2*z3*ln2+1/4*z2*ln2^3*Sinf+13/48*z2* ln2^4+3/2*z2*li4half-6/5*z2^2*ln2*Sinf-131/80*z2^2*ln2^2-13/7*z2^3 +1/16*z3*ln2^2*Sinf+1/24*z3*ln2^3-179/128*z3^2+9/2*z5*ln2+6*z5* Sinf-3*ln2*Sinf*li4half-3/2*ln2^2*li4half-1/12*ln2^5*Sinf-41/720* ln2^6-6*Sinf*li5half+9*li6half+15/4*s6; Fill Htab6(1,-1,-1,1,-1,1)=23/8*z2*z3*ln2+3/2*z2*z3*Sinf+1/4*z2*ln2^3* Sinf+5/48*z2*ln2^4+6/5*z2^2*ln2*Sinf+101/80*z2^2*ln2^2+317/336*z2^3 -11/8*z3*ln2^2*Sinf-11/12*z3*ln2^3-23/64*z3^2-375/64*z5*Sinf-1/60 *ln2^5*Sinf-1/720*ln2^6+3*Sinf*li5half-6*li6half-6*s6; Fill Htab6(1,-1,-1,1,-1,0)=-29/8*z2*z3*ln2-11/8*z2*z3*Sinf+5/12*z2* ln2^3*Sinf+1/4*z2*ln2^4-3/2*z2*li4half-7/8*z2^2*ln2*Sinf-17/20*z2^2 *ln2^2-383/560*z2^3-1/2*z3*ln2^2*Sinf-1/3*z3*ln2^3-35/64*z3^2+247/ 32*z5*Sinf-3*ln2*Sinf*li4half-3/2*ln2^2*li4half-1/12*ln2^5*Sinf-1/ 20*ln2^6-5*Sinf*li5half+9*li6half+29/4*s6; Fill Htab6(1,-1,-1,1,1,-1)=1/16*z2*z3*ln2-1/48*z2*ln2^4+1/20*z2^2*ln2* Sinf+9/80*z2^2*ln2^2+17/560*z2^3-1/16*z3*ln2^2*Sinf-1/24*z3*ln2^3 -1/128*z3^2-1/2*z5*ln2-3/64*z5*Sinf+1/120*ln2^5*Sinf+1/144*ln2^6; Fill Htab6(1,-1,-1,1,1,1)=-z2*z3*ln2-1/2*z2*z3*Sinf-1/6*z2*ln2^3*Sinf -5/48*z2*ln2^4-1/2*z2*li4half-1/20*z2^2*ln2*Sinf+1/80*z2^2*ln2^2+ 1/7*z2^3+1/2*z3*ln2^2*Sinf+1/3*z3*ln2^3+25/32*z3^2+1/32*z5*Sinf+ ln2*Sinf*li4half+1/2*ln2^2*li4half+1/40*ln2^5*Sinf+1/80*ln2^6+Sinf* li5half-li6half+1/4*s6; Fill Htab6(1,-1,-1,1,1,0)=1/8*z2*z3*ln2+1/16*z2*z3*Sinf-1/4*z2*ln2^3* Sinf-1/4*z2*ln2^4-z2*li4half+7/8*z2^2*ln2*Sinf+59/40*z2^2*ln2^2+6/ 5*z2^3+1/16*z3*ln2^2*Sinf+1/24*z3*ln2^3+63/32*z3^2-277/64*z5*Sinf +2*ln2*Sinf*li4half+ln2^2*li4half+1/20*ln2^5*Sinf+11/360*ln2^6+4* Sinf*li5half-8*li6half-11/2*s6; Fill Htab6(1,-1,-1,1,0,-1)=5/16*z2*z3*ln2+1/16*z2*z3*Sinf+1/3*z2*ln2^3 *Sinf+13/48*z2*ln2^4+2*z2*li4half-6/5*z2^2*ln2*Sinf-19/20*z2^2* ln2^2-437/560*z2^3-5/16*z3*ln2^2*Sinf-5/24*z3*ln2^3-5/64*z3^2+93/ 16*z5*ln2+221/32*z5*Sinf-4*ln2*Sinf*li4half-3*ln2*li5half-2*ln2^2* li4half-13/120*ln2^5*Sinf-7/120*ln2^6-7*Sinf*li5half; Fill Htab6(1,-1,-1,1,0,1)=11/4*z2*z3*ln2+23/16*z2*z3*Sinf+1/2*z2*ln2^3 *Sinf+7/16*z2*ln2^4+2*z2*li4half-3/40*z2^2*ln2*Sinf-17/80*z2^2* ln2^2-89/280*z2^3-23/16*z3*ln2^2*Sinf-23/24*z3*ln2^3-75/32*z3^2+ 85/64*z5*Sinf-4*ln2*Sinf*li4half-2*ln2^2*li4half-2/15*ln2^5*Sinf-59/ 720*ln2^6-4*Sinf*li5half+li6half-1/4*s6; Fill Htab6(1,-1,-1,1,0,0)=-33/16*z2*z3*ln2-13/16*z2*z3*Sinf+1/6*z2* ln2^3*Sinf+1/24*z2*ln2^4-z2*li4half-3/4*z2^2*ln2*Sinf-3/5*z2^2* ln2^2-7/8*z2^3-3/8*z3*ln2^2*Sinf-1/4*z3*ln2^3-93/128*z3^2+47/8*z5 *Sinf-2*ln2*Sinf*li4half-ln2^2*li4half-1/20*ln2^5*Sinf-11/360*ln2^6 -4*Sinf*li5half+8*li6half+11/2*s6; Fill Htab6(1,-1,-1,0,-1,-1)=-1/16*z2*z3*ln2+1/4*z2*ln2^3*Sinf+5/16*z2* ln2^4+3/2*z2*li4half-6/5*z2^2*ln2*Sinf-129/80*z2^2*ln2^2+1/5*z2^3 +1/16*z3*ln2^2*Sinf+1/24*z3*ln2^3-89/64*z3^2+93/64*z5*ln2+6*z5* Sinf-3*ln2*Sinf*li4half-6*ln2*li5half-3*ln2^2*li4half-3/40*ln2^5* Sinf-3/40*ln2^6-6*Sinf*li5half+15/4*s6; Fill Htab6(1,-1,-1,0,-1,1)=-37/16*z2*z3*ln2-21/16*z2*z3*Sinf-1/2*z2* ln2^3*Sinf-17/48*z2*ln2^4-z2*li4half-1/40*z2^2*ln2*Sinf+41/16*z2^2* ln2^2+1427/560*z2^3+13/16*z3*ln2^2*Sinf+13/24*z3*ln2^3+707/128*z3^2 +87/32*z5*Sinf-ln2*Sinf*li4half+ln2^2*li4half-1/24*ln2^5*Sinf+1/ 80*ln2^6-21*li6half-17/2*s6; Fill Htab6(1,-1,-1,0,-1,0)=53/16*z2*z3*ln2+23/16*z2*z3*Sinf-1/3*z2* ln2^3*Sinf+1/48*z2*ln2^4+9/2*z2*li4half-11/8*z2^2*ln2*Sinf-183/80* z2^2*ln2^2-1549/840*z2^3+z3*ln2^2*Sinf+2/3*z3*ln2^3-523/128*z3^2+ 73/64*z5*Sinf+1/30*ln2^5*Sinf+1/90*ln2^6-4*Sinf*li5half+8*li6half +19/4*s6; Fill Htab6(1,-1,-1,0,1,-1)=-5/8*z2*z3*ln2-3/16*z2*ln2^4-2*z2*li4half- 1/8*z2^2*ln2*Sinf-147/80*z2^2*ln2^2-151/80*z2^3+13/16*z3*ln2^2*Sinf +13/24*z3*ln2^3-475/128*z3^2-341/64*z5*ln2-99/32*z5*Sinf+4*ln2* Sinf*li4half+4*ln2*li5half+2*ln2^2*li4half+17/120*ln2^5*Sinf+19/240 *ln2^6+3*Sinf*li5half+21*li6half+10*s6; Fill Htab6(1,-1,-1,0,1,1)=-1/16*z2*z3*ln2+1/12*z2*ln2^3*Sinf+1/24*z2* ln2^4+1/8*z2^2*ln2*Sinf-19/40*z2^2*ln2^2+181/560*z2^3+1/16*z3*ln2^2 *Sinf+1/24*z3*ln2^3-3/128*z3^2-25/32*z5*Sinf-1/120*ln2^5*Sinf-1/ 360*ln2^6+Sinf*li5half-2*li6half+1/4*s6; Fill Htab6(1,-1,-1,0,1,0)=3/16*z2*z3*ln2+5/16*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-1/6*z2*ln2^4-51/40*z2^2*ln2*Sinf-37/40*z2^2*ln2^2-1429/1680* z2^3+3/4*z3*ln2^2*Sinf+1/2*z3*ln2^3-249/128*z3^2+103/32*z5*Sinf+1/ 30*ln2^5*Sinf+1/90*ln2^6-4*Sinf*li5half+8*li6half+15/4*s6; Fill Htab6(1,-1,-1,0,0,-1)=1/2*z2*z3*ln2+1/16*z2*z3*Sinf+1/3*z2*ln2^3* Sinf+1/4*z2*ln2^4-1/8*z2^2*ln2*Sinf-27/40*z2^2*ln2^2-163/168*z2^3 -1/2*z3*ln2^2*Sinf-1/3*z3*ln2^3-199/128*z3^2-155/64*z5*ln2+125/64 *z5*Sinf-2*ln2*Sinf*li4half+2*ln2*li5half-ln2^2*li4half-1/15*ln2^5* Sinf-17/360*ln2^6-2*Sinf*li5half+8*li6half+4*s6; Fill Htab6(1,-1,-1,0,0,1)=-11/8*z2*z3*ln2-3/4*z2*z3*Sinf-1/6*z2*ln2^3* Sinf-1/4*z2*ln2^4-3*z2*li4half+3/5*z2^2*ln2*Sinf+11/10*z2^2*ln2^2 +101/84*z2^3+1/2*z3*ln2^2*Sinf+1/3*z3*ln2^3+187/64*z3^2-39/16*z5* Sinf+2*ln2*Sinf*li4half+ln2^2*li4half+1/20*ln2^5*Sinf+1/30*ln2^6+ 4*Sinf*li5half-6*li6half-4*s6; Fill Htab6(1,-1,-1,0,0,0)=3/2*z2*z3*ln2+1/2*z2*z3*Sinf+1/12*z2*ln2^4 +2*z2*li4half-7/20*z2^2*ln2*Sinf-21/20*z2^2*ln2^2-39/140*z2^3-9/8 *z3^2-29/32*z5*Sinf+s6; Fill Htab6(1,-1,1,-1,-1,-1)=z2*z3*ln2+1/6*z2*ln2^3*Sinf+5/48*z2*ln2^4 -1/2*z2*li4half+6/5*z2^2*ln2*Sinf+23/16*z2^2*ln2^2+143/105*z2^3- z3*ln2^2*Sinf-z3*ln2^3+23/32*z3^2-11/2*z5*ln2-4*z5*Sinf+ln2*Sinf* li4half+1/2*ln2^2*li4half+1/240*ln2^6+4*Sinf*li5half-7*li6half-9/ 4*s6; Fill Htab6(1,-1,1,-1,-1,1)=-23/8*z2*z3*ln2-23/16*z2*z3*Sinf-1/3*z2* ln2^3*Sinf-11/48*z2*ln2^4-6/5*z2^2*ln2*Sinf-21/16*z2^2*ln2^2-1501/ 1680*z2^3+23/16*z3*ln2^2*Sinf+31/24*z3*ln2^3+9/64*z3^2+369/64*z5* Sinf+1/30*ln2^5*Sinf+11/720*ln2^6-3*Sinf*li5half+6*li6half+6*s6; Fill Htab6(1,-1,1,-1,-1,0)=87/16*z2*z3*ln2+3/2*z2*z3*Sinf-1/12*z2* ln2^3*Sinf+1/16*z2*ln2^4+5/2*z2*li4half+1/10*z2^2*ln2*Sinf-57/80* z2^2*ln2^2-303/280*z2^3-1/16*z3*ln2^2*Sinf-1/24*z3*ln2^3-221/128* z3^2-125/32*z5*Sinf+ln2*Sinf*li4half+1/2*ln2^2*li4half+1/30*ln2^5* Sinf+17/720*ln2^6+Sinf*li5half+2*li6half-9/4*s6; Fill Htab6(1,-1,1,-1,1,-1)=-5/4*z2*z3*ln2-1/8*z2*z3*Sinf-1/12*z2*ln2^3* Sinf-5/48*z2*ln2^4+1/40*z2^2*ln2*Sinf-7/80*z2^2*ln2^2-61/560*z2^3 +1/8*z3*ln2^2*Sinf+5/12*z3*ln2^3+15/32*z3^2+2*z5*ln2+3/16*z5*Sinf +1/120*ln2^5*Sinf+1/144*ln2^6; Fill Htab6(1,-1,1,-1,1,1)=31/8*z2*z3*ln2+23/16*z2*z3*Sinf+7/12*z2* ln2^3*Sinf+23/48*z2*ln2^4+3/2*z2*li4half-1/40*z2^2*ln2*Sinf-23/80* z2^2*ln2^2-3/7*z2^3-23/16*z3*ln2^2*Sinf-31/24*z3*ln2^3-199/64*z3^2 +23/64*z5*Sinf-3*ln2*Sinf*li4half-3/2*ln2^2*li4half-13/120*ln2^5* Sinf-47/720*ln2^6-3*Sinf*li5half+3*li6half-3/4*s6; Fill Htab6(1,-1,1,-1,1,0)=-19/8*z2*z3*ln2-5/8*z2*z3*Sinf-1/12*z2*ln2^3* Sinf-1/16*z2*ln2^4-1/10*z2^2*ln2*Sinf+7/80*z2^2*ln2^2+99/280*z2^3 +1/2*z3*ln2^2*Sinf+1/3*z3*ln2^3+115/64*z3^2+z5*Sinf-1/240*ln2^6 -3*li6half+3/4*s6; Fill Htab6(1,-1,1,-1,0,-1)=-5/4*z2*z3*ln2-1/4*z2*z3*Sinf-5/12*z2*ln2^3* Sinf-7/16*z2*ln2^4-2*z2*li4half+33/20*z2^2*ln2*Sinf+29/10*z2^2* ln2^2+2011/560*z2^3+1/8*z3*ln2^2*Sinf+1/12*z3*ln2^3+275/64*z3^2- 93/64*z5*ln2-61/8*z5*Sinf+4*ln2*Sinf*li4half-3*ln2*li5half+2*ln2^2* li4half+1/10*ln2^5*Sinf+7/90*ln2^6+8*Sinf*li5half-22*li6half-10* s6; Fill Htab6(1,-1,1,-1,0,1)=-21/4*z2*z3*ln2-15/8*z2*z3*Sinf-3/4*z2*ln2^3* Sinf-25/48*z2*ln2^4-2*z2*li4half+19/40*z2^2*ln2*Sinf+107/80*z2^2* ln2^2+97/70*z2^3+13/8*z3*ln2^2*Sinf+13/12*z3*ln2^3+35/8*z3^2-101/ 64*z5*Sinf+4*ln2*Sinf*li4half+2*ln2^2*li4half+1/8*ln2^5*Sinf+17/240 *ln2^6+5*Sinf*li5half-9*li6half-7/4*s6; Fill Htab6(1,-1,1,-1,0,0)=9/4*z2*z3*ln2+7/8*z2*z3*Sinf-1/24*z2*ln2^4 +19/40*z2^2*ln2*Sinf+3/8*z2^2*ln2^2-123/560*z2^3-3/8*z3*ln2^2*Sinf -1/4*z3*ln2^3-3/2*z3^2-15/8*z5*Sinf+1/360*ln2^6+2*li6half-9/4* s6; Fill Htab6(1,-1,1,1,-1,-1)=-3/8*z2*z3*ln2+1/16*z2*z3*Sinf-1/12*z2*ln2^3 *Sinf-1/24*z2*ln2^4-1/8*z2^2*ln2*Sinf-1/8*z2^2*ln2^2+1/56*z2^3+7/ 16*z3*ln2^2*Sinf+7/24*z3*ln2^3+69/64*z3^2+9/2*z5*ln2-3/64*z5*Sinf +1/120*ln2^5*Sinf+1/360*ln2^6-3*li6half-3*s6; Fill Htab6(1,-1,1,1,-1,1)=-7/4*z2*z3*ln2-7/8*z2*z3*Sinf-5/12*z2*ln2^3* Sinf-1/3*z2*ln2^4-3/2*z2*li4half+1/8*z2^2*ln2*Sinf+1/2*z2^2*ln2^2 +7/8*z3*ln2^2*Sinf+7/12*z3*ln2^3+49/32*z3^2-81/64*z5*Sinf+3*ln2* Sinf*li4half+3/2*ln2^2*li4half+11/120*ln2^5*Sinf+1/18*ln2^6+3*Sinf* li5half; Fill Htab6(1,-1,1,1,-1,0)=5/16*z2*z3*ln2+3/8*z2*z3*Sinf+1/3*z2*ln2^3* Sinf+11/48*z2*ln2^4+z2*li4half-1/20*z2^2*ln2*Sinf-9/80*z2^2*ln2^2 +331/560*z2^3-13/16*z3*ln2^2*Sinf-13/24*z3*ln2^3-115/128*z3^2+33/ 64*z5*Sinf-2*ln2*Sinf*li4half-ln2^2*li4half-3/40*ln2^5*Sinf-11/240* ln2^6-Sinf*li5half-3*li6half+1/2*s6; Fill Htab6(1,-1,1,1,1,-1)=7/8*z2*z3*ln2+7/16*z2*z3*Sinf+1/6*z2*ln2^3* Sinf+1/8*z2*ln2^4+1/2*z2*li4half-1/8*z2^2*ln2^2-18/35*z2^3-7/16* z3*ln2^2*Sinf-7/24*z3*ln2^3-109/64*z3^2-4*z5*ln2+27/32*z5*Sinf- ln2*Sinf*li4half-1/2*ln2^2*li4half-1/30*ln2^5*Sinf-7/360*ln2^6-2* Sinf*li5half+6*li6half+5/2*s6; Fill Htab6(1,-1,1,1,1,1)=Sinf*li5half-5*li6half; Fill Htab6(1,-1,1,1,1,0)=z2*z3*ln2+1/2*z2*z3*Sinf+1/6*z2*ln2^3*Sinf+ 5/48*z2*ln2^4-1/2*z2*li4half+1/20*z2^2*ln2*Sinf-1/80*z2^2*ln2^2-1/7 *z2^3-1/2*z3*ln2^2*Sinf-1/3*z3*ln2^3-25/32*z3^2-1/32*z5*Sinf-ln2* Sinf*li4half-1/2*ln2^2*li4half-1/40*ln2^5*Sinf-1/80*ln2^6-2*Sinf* li5half+6*li6half-1/4*s6; Fill Htab6(1,-1,1,1,0,-1)=-5/8*z2*z3*ln2+1/8*z2*z3*Sinf+1/4*z2*ln2^3* Sinf+1/4*z2*ln2^4-33/20*z2^2*ln2*Sinf-12/5*z2^2*ln2^2-1943/560*z2^3 +5/16*z3*ln2^2*Sinf+5/24*z3*ln2^3-361/128*z3^2+279/64*z5*ln2+457/ 64*z5*Sinf-3*ln2*Sinf*li4half+3*ln2*li5half-3/2*ln2^2*li4half-1/15* ln2^5*Sinf-7/120*ln2^6-7*Sinf*li5half+21*li6half+33/4*s6; Fill Htab6(1,-1,1,1,0,1)=-23/8*z2*z3*ln2-9/16*z2*z3*Sinf-5/12*z2*ln2^3* Sinf-23/48*z2*ln2^4-9/2*z2*li4half-19/40*z2^2*ln2*Sinf+23/80*z2^2* ln2^2+3/7*z2^3+23/16*z3*ln2^2*Sinf+23/24*z3*ln2^3+87/64*z3^2-23/ 64*z5*Sinf+3*ln2*Sinf*li4half+3/2*ln2^2*li4half+13/120*ln2^5*Sinf+ 47/720*ln2^6+2*Sinf*li5half+2*li6half+3/4*s6; Fill Htab6(1,-1,1,1,0,0)=13/16*z2*z3*ln2+7/16*z2*z3*Sinf+1/3*z2*ln2^3* Sinf+1/3*z2*ln2^4+2*z2*li4half-19/40*z2^2*ln2*Sinf-7/8*z2^2*ln2^2 -201/280*z2^3-1/2*z3*ln2^2*Sinf-1/3*z3*ln2^3-163/128*z3^2+151/64* z5*Sinf-2*ln2*Sinf*li4half-ln2^2*li4half-1/15*ln2^5*Sinf-1/24*ln2^6 -2*Sinf*li5half+5/2*s6; Fill Htab6(1,-1,1,0,-1,-1)=23/16*z2*z3*ln2+1/16*z2*z3*Sinf+1/4*z2* ln2^3*Sinf+1/16*z2*ln2^4+6/5*z2^2*ln2*Sinf+99/80*z2^2*ln2^2+2/35* z2^3-11/8*z3*ln2^2*Sinf-11/12*z3*ln2^3-193/128*z3^2-93/8*z5*ln2- 99/32*z5*Sinf+6*ln2*li5half+3/2*ln2^2*li4half-1/40*ln2^5*Sinf+1/60* ln2^6+3*Sinf*li5half+3*li6half+3*s6; Fill Htab6(1,-1,1,0,-1,1)=13/8*z2*z3*ln2-1/2*z2*z3*Sinf+2/3*z2*ln2^3* Sinf+31/48*z2*ln2^4+7/2*z2*li4half-27/8*z2^2*ln2*Sinf-527/80*z2^2* ln2^2-3411/560*z2^3+1/2*z3*ln2^2*Sinf+1/3*z3*ln2^3-599/64*z3^2+ 911/64*z5*Sinf-4*ln2*Sinf*li4half-7/2*ln2^2*li4half-7/120*ln2^5*Sinf -7/80*ln2^6-13*Sinf*li5half+42*li6half+47/2*s6; Fill Htab6(1,-1,1,0,-1,0)=27/8*z2*z3*ln2+7/8*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-11/48*z2*ln2^4+1/2*z2*li4half+11/8*z2^2*ln2*Sinf+83/80*z2^2* ln2^2+127/120*z2^3+3/4*z3*ln2^2*Sinf+1/2*z3*ln2^3+227/64*z3^2-331/ 32*z5*Sinf+4*ln2*Sinf*li4half+2*ln2^2*li4half+1/10*ln2^5*Sinf+1/15* ln2^6+8*Sinf*li5half-12*li6half-19/2*s6; Fill Htab6(1,-1,1,0,1,-1)=-29/8*z2*z3*ln2-1/2*z2*z3*Sinf-7/6*z2*ln2^3* Sinf-41/48*z2*ln2^4-7/2*z2*li4half+141/40*z2^2*ln2*Sinf+529/80*z2^2 *ln2^2+3643/560*z2^3+1/2*z3*ln2^2*Sinf+1/3*z3*ln2^3+23/2*z3^2+93/ 16*z5*ln2-245/16*z5*Sinf+7*ln2*Sinf*li4half-4*ln2*li5half+7/2*ln2^2 *li4half+19/120*ln2^5*Sinf+9/80*ln2^6+16*Sinf*li5half-48*li6half- 26*s6; Fill Htab6(1,-1,1,0,1,1)=11/4*z2*z3*ln2+11/8*z2*z3*Sinf+5/12*z2*ln2^3* Sinf+1/3*z2*ln2^4+3/2*z2*li4half-1/8*z2^2*ln2*Sinf+1/10*z2^2*ln2^2 -3/5*z2^3-11/8*z3*ln2^2*Sinf-11/12*z3*ln2^3-105/32*z3^2+81/64*z5* Sinf-3*ln2*Sinf*li4half-3/2*ln2^2*li4half-11/120*ln2^5*Sinf-1/18* ln2^6-4*Sinf*li5half+5*li6half; Fill Htab6(1,-1,1,0,1,0)=-13/8*z2*z3*ln2-7/8*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-7/24*z2*ln2^4-z2*li4half+51/40*z2^2*ln2*Sinf+47/40*z2^2*ln2^2 +491/336*z2^3+z3*ln2^2*Sinf+2/3*z3*ln2^3+349/64*z3^2-227/32*z5* Sinf+4*ln2*Sinf*li4half+2*ln2^2*li4half+1/10*ln2^5*Sinf+1/15*ln2^6 +8*Sinf*li5half-12*li6half-23/4*s6; Fill Htab6(1,-1,1,0,0,-1)=3/4*z2*z3*ln2-1/8*z2*z3*Sinf+1/48*z2*ln2^4 +3/2*z2*li4half+1/8*z2^2*ln2*Sinf+3/10*z2^2*ln2^2+899/840*z2^3-3/ 8*z3*ln2^2*Sinf-1/4*z3*ln2^3-41/32*z3^2-279/64*z5*ln2+15/32*z5*Sinf -2*ln2*li5half+1/120*ln2^6-6*li6half+3/4*s6; Fill Htab6(1,-1,1,0,0,1)=-3/4*z2*z3*ln2-11/8*z2*z3*Sinf-1/6*z2*ln2^3* Sinf+1/24*z2*ln2^4+3*z2*li4half-3/5*z2^2*ln2*Sinf-11/10*z2^2*ln2^2 -2431/1680*z2^3+3/8*z3*ln2^2*Sinf+1/4*z3*ln2^3-19/16*z3^2+311/64* z5*Sinf+1/60*ln2^5*Sinf+1/180*ln2^6-2*Sinf*li5half+4*li6half+21/4 *s6; Fill Htab6(1,-1,1,0,0,0)=9/8*z2*z3*ln2+3/8*z2*z3*Sinf+7/20*z2^2*ln2* Sinf+11/20*z2^2*ln2^2+17/70*z2^3-11/64*z3^2-2*z5*Sinf-5/2*s6; Fill Htab6(1,-1,0,-1,-1,-1)=-7/8*z2*z3*ln2-5/12*z2*ln2^3*Sinf-1/2*z2* ln2^4-3/2*z2*li4half+2/5*z2^2*ln2*Sinf+23/40*z2^2*ln2^2-9/35*z2^3 +7/8*z3*ln2^2*Sinf+49/48*z3*ln2^3+73/64*z3^2+93/64*z5*ln2-4*z5* Sinf+3*ln2*Sinf*li4half+4*ln2*li5half+3*ln2^2*li4half+11/120*ln2^5* Sinf+67/720*ln2^6+4*Sinf*li5half+li6half-11/4*s6; Fill Htab6(1,-1,0,-1,-1,1)=21/8*z2*z3*ln2+21/16*z2*z3*Sinf+2/3*z2* ln2^3*Sinf+25/48*z2*ln2^4+2*z2*li4half-1/2*z2^2*ln2*Sinf-163/80* z2^2*ln2^2-1651/560*z2^3-21/16*z3*ln2^2*Sinf-21/16*z3*ln2^3-681/128 *z3^2+35/32*z5*Sinf-ln2*Sinf*li4half-2*ln2^2*li4half-1/120*ln2^5* Sinf-13/240*ln2^6-4*Sinf*li5half+21*li6half+17/2*s6; Fill Htab6(1,-1,0,-1,-1,0)=-87/16*z2*z3*ln2-11/8*z2*z3*Sinf-3/16*z2* ln2^4-9/2*z2*li4half-1/8*z2^2*ln2*Sinf+17/16*z2^2*ln2^2+737/560* z2^3+223/128*z3^2+177/64*z5*Sinf+7/4*s6; Fill Htab6(1,-1,0,-1,1,-1)=21/16*z2*z3*ln2-5/6*z2*ln2^3*Sinf-1/24*z2* ln2^4+23/10*z2^2*ln2*Sinf+49/10*z2^2*ln2^2+377/70*z2^3-7/16*z3* ln2^3+459/64*z3^2-31/32*z5*ln2-61/8*z5*Sinf-2*ln2*li5half-1/15* ln2^5*Sinf-1/24*ln2^6+8*Sinf*li5half-42*li6half-20*s6; Fill Htab6(1,-1,0,-1,1,1)=-63/16*z2*z3*ln2-21/16*z2*z3*Sinf-1/4*z2* ln2^3*Sinf-5/12*z2*ln2^4-z2*li4half-77/40*z2^2*ln2*Sinf-123/80*z2^2 *ln2^2-1837/560*z2^3+21/16*z3*ln2^2*Sinf+21/16*z3*ln2^3-111/128* z3^2+61/8*z5*Sinf+2*ln2*Sinf*li4half+ln2^2*li4half+2/15*ln2^5*Sinf +3/40*ln2^6-6*Sinf*li5half+24*li6half+23/2*s6; Fill Htab6(1,-1,0,-1,1,0)=45/16*z2*z3*ln2+1/2*z2*z3*Sinf+1/3*z2*ln2^3* Sinf+1/12*z2*ln2^4+2*z2*li4half+119/40*z2^2*ln2*Sinf+19/16*z2^2* ln2^2+1613/560*z2^3+35/16*z3^2-507/32*z5*Sinf+4*ln2*Sinf*li4half+ 2*ln2^2*li4half+1/30*ln2^5*Sinf+1/20*ln2^6+16*Sinf*li5half-24* li6half-23/2*s6; Fill Htab6(1,-1,0,-1,0,-1)=21/16*z2*z3*ln2-1/8*z2*z3*Sinf-1/3*z2*ln2^3 *Sinf-1/6*z2*ln2^4+13/8*z2^2*ln2*Sinf+13/16*z2^2*ln2^2-417/560*z2^3 +5/4*z3^2+31/32*z5*ln2-125/16*z5*Sinf+4*ln2*Sinf*li4half+4*ln2* li5half+2*ln2^2*li4half+1/10*ln2^5*Sinf+1/20*ln2^6+8*Sinf*li5half -4*s6; Fill Htab6(1,-1,0,-1,0,1)=49/8*z2*z3*ln2+3/2*z2*z3*Sinf+2/3*z2*ln2^3* Sinf+2/3*z2*ln2^4+6*z2*li4half+3/40*z2^2*ln2*Sinf-117/80*z2^2*ln2^2 -1027/560*z2^3-7/4*z3*ln2^2*Sinf-7/6*z3*ln2^3-513/128*z3^2+33/32* z5*Sinf-4*ln2*Sinf*li4half-2*ln2^2*li4half-2/15*ln2^5*Sinf-7/90* ln2^6-4*Sinf*li5half+4*li6half+s6; Fill Htab6(1,-1,0,-1,0,0)=-3*z2*z3*ln2-z2*z3*Sinf-1/6*z2*ln2^4-4*z2* li4half+21/20*z2^2*ln2*Sinf+61/40*z2^2*ln2^2+233/840*z2^3+195/64* z3^2+41/32*z5*Sinf-3/2*s6; Fill Htab6(1,-1,0,1,-1,-1)=2/3*z2*ln2^3*Sinf+7/24*z2*ln2^4+z2*li4half -69/40*z2^2*ln2*Sinf-143/40*z2^2*ln2^2-249/80*z2^3-39/8*z3^2+221/ 32*z5*Sinf-2*ln2*Sinf*li4half-3/2*ln2^2*li4half-1/40*ln2^5*Sinf-7/ 240*ln2^6-7*Sinf*li5half+24*li6half+13*s6; Fill Htab6(1,-1,0,1,-1,1)=21/8*z2*z3*ln2+21/16*z2*z3*Sinf-7/12*z2* ln2^3*Sinf-1/48*z2*ln2^4-1/2*z2*li4half+141/40*z2^2*ln2*Sinf+451/80 *z2^2*ln2^2+3103/560*z2^3-21/16*z3*ln2^2*Sinf-7/8*z3*ln2^3+417/64* z3^2-845/64*z5*Sinf+1/2*ln2^2*li4half-11/120*ln2^5*Sinf-3/80*ln2^6 +11*Sinf*li5half-42*li6half-47/2*s6; Fill Htab6(1,-1,0,1,-1,0)=-39/16*z2*z3*ln2-13/16*z2*z3*Sinf-1/3*z2* ln2^3*Sinf-1/16*z2*ln2^4-3/2*z2*li4half-139/40*z2^2*ln2*Sinf-25/16* z2^2*ln2^2-111/40*z2^3-455/128*z3^2+547/32*z5*Sinf-4*ln2*Sinf* li4half-2*ln2^2*li4half-1/30*ln2^5*Sinf-1/20*ln2^6-16*Sinf*li5half +24*li6half+13*s6; Fill Htab6(1,-1,0,1,1,-1)=11/12*z2*ln2^3*Sinf+1/3*z2*ln2^4+3/2*z2* li4half-69/40*z2^2*ln2*Sinf-333/80*z2^2*ln2^2-11/5*z2^3-111/32*z3^2 +279/64*z5*ln2+457/64*z5*Sinf-3*ln2*Sinf*li4half-2*ln2*li5half-3/ 2*ln2^2*li4half-1/15*ln2^5*Sinf-1/40*ln2^6-7*Sinf*li5half+15* li6half+37/4*s6; Fill Htab6(1,-1,0,1,1,1)=-7/8*z2*z3*ln2-7/16*z2*z3*Sinf-1/6*z2*ln2^3* Sinf-1/8*z2*ln2^4-1/2*z2*li4half+2/5*z2^2*ln2*Sinf+13/40*z2^2*ln2^2 +11/35*z2^3+7/16*z3*ln2^2*Sinf+7/24*z3*ln2^3+109/64*z3^2-27/32*z5 *Sinf+ln2*Sinf*li4half+1/2*ln2^2*li4half+1/30*ln2^5*Sinf+7/360* ln2^6+Sinf*li5half-li6half-5/2*s6; Fill Htab6(1,-1,0,1,1,0)=-3/16*z2*z3*ln2-1/16*z2*z3*Sinf+1/24*z2*ln2^4 +z2*li4half-1/2*z2^2*ln2*Sinf-1/2*z2^2*ln2^2-121/560*z2^3-119/128 *z3^2+53/64*z5*Sinf+11/4*s6; Fill Htab6(1,-1,0,1,0,-1)=-5/16*z2*z3*Sinf-1/3*z2*ln2^3*Sinf-3/16*z2* ln2^4-1/2*z2*li4half+71/40*z2^2*ln2*Sinf+81/80*z2^2*ln2^2+43/140* z2^3+25/128*z3^2-403/64*z5*ln2-123/16*z5*Sinf+4*ln2*Sinf*li4half+ 4*ln2*li5half+2*ln2^2*li4half+1/10*ln2^5*Sinf+1/20*ln2^6+8*Sinf* li5half; Fill Htab6(1,-1,0,1,0,1)=7/2*z2*z3*ln2+9/8*z2*z3*Sinf+2/3*z2*ln2^3* Sinf+5/8*z2*ln2^4+5*z2*li4half+3/10*z2^2*ln2*Sinf-11/10*z2^2*ln2^2 -799/560*z2^3-7/4*z3*ln2^2*Sinf-7/6*z3*ln2^3-99/32*z3^2+89/64*z5* Sinf-4*ln2*Sinf*li4half-2*ln2^2*li4half-2/15*ln2^5*Sinf-7/90*ln2^6 -4*Sinf*li5half+4*li6half+7/4*s6; Fill Htab6(1,-1,0,1,0,0)=-9/4*z2*z3*ln2-3/4*z2*z3*Sinf-1/6*z2*ln2^4-4 *z2*li4half+6/5*z2^2*ln2*Sinf+8/5*z2^2*ln2^2+251/420*z2^3+59/32* z3^2+21/32*z5*Sinf-5/2*s6; Fill Htab6(1,-1,0,0,-1,-1)=-7/8*z2*z3*ln2-1/6*z2*ln2^3*Sinf-1/12*z2* ln2^4-3/4*z2^2*ln2*Sinf-3/8*z2^2*ln2^2+457/560*z2^3+7/8*z3*ln2^2* Sinf+7/12*z3*ln2^3+243/128*z3^2+527/64*z5*ln2+125/64*z5*Sinf-6* ln2*li5half-ln2^2*li4half+1/60*ln2^5*Sinf-1/360*ln2^6-2*Sinf* li5half-8*li6half-9/2*s6; Fill Htab6(1,-1,0,0,-1,1)=-39/16*z2*z3*ln2-1/3*z2*ln2^3*Sinf-7/24*z2* ln2^4-z2*li4half-27/40*z2^2*ln2*Sinf+51/40*z2^2*ln2^2+1/10*z2^3+ 169/128*z3^2+27/8*z5*Sinf+ln2^2*li4half+1/30*ln2^5*Sinf+1/24*ln2^6 -4*Sinf*li5half; Fill Htab6(1,-1,0,0,-1,0)=-9/8*z2*z3*ln2-3/8*z2*z3*Sinf+1/24*z2*ln2^4 +z2*li4half-21/20*z2^2*ln2*Sinf-31/40*z2^2*ln2^2+871/1680*z2^3- 123/64*z3^2+51/32*z5*Sinf+7/2*s6; Fill Htab6(1,-1,0,0,1,-1)=39/16*z2*z3*ln2+1/2*z2*ln2^3*Sinf+1/3*z2* ln2^4+z2*li4half-129/80*z2^2*ln2^2-47/70*z2^3-77/32*z3^2-155/32* z5*ln2+15/32*z5*Sinf-2*ln2*Sinf*li4half+2*ln2*li5half-ln2^2*li4half -1/12*ln2^5*Sinf-1/20*ln2^6+6*li6half+17/4*s6; Fill Htab6(1,-1,0,0,1,1)=-7/4*z2*z3*ln2-7/8*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-1/4*z2*ln2^4-z2*li4half+1/10*z2^2*ln2*Sinf+3/10*z2^2*ln2^2+3/ 56*z2^3+7/8*z3*ln2^2*Sinf+7/12*z3*ln2^3+81/32*z3^2-15/32*z5*Sinf+ 2*ln2*Sinf*li4half+ln2^2*li4half+1/15*ln2^5*Sinf+7/180*ln2^6+2*Sinf *li5half-2*li6half-1/2*s6; Fill Htab6(1,-1,0,0,1,0)=9/8*z2*z3*ln2+3/8*z2*z3*Sinf+1/12*z2*ln2^4+ 2*z2*li4half-6/5*z2^2*ln2*Sinf-11/10*z2^2*ln2^2+65/168*z2^3-203/64* z3^2+11/32*z5*Sinf+5/2*s6; Fill Htab6(1,-1,0,0,0,-1)=3/8*z2*z3*Sinf-1/24*z2*ln2^4-z2*li4half+7/ 20*z2^2*ln2*Sinf+17/40*z2^2*ln2^2-439/840*z2^3+15/8*z3^2+155/32*z5* ln2-17/16*z5*Sinf-4*s6; Fill Htab6(1,-1,0,0,0,1)=3/4*z2*z3*Sinf-1/12*z2*ln2^4-2*z2*li4half+2/ 5*z2^2*ln2*Sinf+7/10*z2^2*ln2^2+53/168*z2^3+z3^2-59/32*z5*Sinf-5/ 2*s6; Fill Htab6(1,-1,0,0,0,0)=-8/35*z2^3+15/16*z5*Sinf+s6; Fill Htab6(1,1,-1,-1,-1,-1)=-1/2*z2*z3*ln2-1/6*z2*ln2^3*Sinf-7/48*z2* ln2^4-2/5*z2^2*ln2*Sinf-17/40*z2^2*ln2^2-13/35*z2^3+1/2*z3*ln2^2* Sinf+1/2*z3*ln2^3-1/8*z3^2+2*z5*ln2+z5*Sinf+1/48*ln2^4*Sinf^2+1/ 24*ln2^5*Sinf+1/60*ln2^6-Sinf*li5half+2*li6half+1/2*s6; Fill Htab6(1,1,-1,-1,-1,1)=15/8*z2*z3*ln2+15/16*z2*z3*Sinf+1/8*z2* ln2^2*Sinf^2+1/4*z2*ln2^3*Sinf+3/16*z2*ln2^4+1/2*z2*li4half+4/5* z2^2*ln2*Sinf+1/2*z2^2*ln2^2+1/5*z2^2*Sinf^2+9/35*z2^3-7/16*z3*ln2* Sinf^2-15/16*z3*ln2^2*Sinf-31/48*z3*ln2^3-9/128*z3^2-123/32*z5*Sinf -1/24*ln2^4*Sinf^2-1/20*ln2^5*Sinf-13/720*ln2^6+2*Sinf*li5half-1/ 2*Sinf^2*li4half-3*li6half-3*s6; Fill Htab6(1,1,-1,-1,-1,0)=-3*z2*z3*ln2-z2*z3*Sinf-1/4*z2*ln2^2*Sinf^2 -1/3*z2*ln2^3*Sinf-3/16*z2*ln2^4-3/2*z2*li4half+3/10*z2^2*ln2*Sinf +51/40*z2^2*ln2^2-1/5*z2^2*Sinf^2+171/140*z2^3+1/2*z3*ln2*Sinf^2+ 1/2*z3*ln2^2*Sinf+1/6*z3*ln2^3+15/8*z3^2+15/16*z5*Sinf+1/48*ln2^4* Sinf^2-1/120*ln2^5*Sinf-1/120*ln2^6+Sinf*li5half+1/2*Sinf^2*li4half -6*li6half-3/2*s6; Fill Htab6(1,1,-1,-1,1,-1)=-9/4*z2*z3*ln2-11/8*z2*z3*Sinf-3/8*z2*ln2^2* Sinf^2-1/6*z2*ln2^3*Sinf-1/48*z2*ln2^4-3/2*z2*li4half-53/40*z2^2* ln2*Sinf-13/40*z2^2*ln2^2-3/5*z2^2*Sinf^2+16/105*z2^3+11/8*z3*ln2* Sinf^2+11/8*z3*ln2^2*Sinf+7/24*z3*ln2^3-3/64*z3^2-1/2*z5*ln2+369/ 64*z5*Sinf+1/24*ln2^4*Sinf^2-1/120*ln2^5*Sinf-7/720*ln2^6-3*Sinf* li5half+3/2*Sinf^2*li4half+3*li6half+3*s6; Fill Htab6(1,1,-1,-1,1,1)=-3/8*z2*z3*ln2+1/16*z2*z3*Sinf-1/12*z2*ln2^3* Sinf-5/48*z2*ln2^4+7/40*z2^2*ln2*Sinf+1/8*z2^2*ln2^2+1/40*z2^2* Sinf^2-1/40*z2^3-1/16*z3*ln2*Sinf^2-1/16*z3*ln2^2*Sinf+7/48*z3* ln2^3+49/128*z3^2-29/64*z5*Sinf+1/48*ln2^4*Sinf^2+1/30*ln2^5*Sinf +1/72*ln2^6; Fill Htab6(1,1,-1,-1,1,0)=-9/8*z2*z3*ln2-15/16*z2*z3*Sinf-1/8*z2*ln2^2* Sinf^2+1/12*z2*ln2^3*Sinf+1/48*z2*ln2^4-z2*li4half-63/40*z2^2*ln2* Sinf-103/80*z2^2*ln2^2-7/16*z2^2*Sinf^2-437/560*z2^3+13/16*z3*ln2* Sinf^2+13/16*z3*ln2^2*Sinf+13/48*z3*ln2^3-217/128*z3^2+405/64*z5* Sinf+1/24*ln2^4*Sinf^2+1/30*ln2^5*Sinf+1/80*ln2^6-4*Sinf*li5half+ Sinf^2*li4half+9*li6half+21/4*s6; Fill Htab6(1,1,-1,-1,0,-1)=27/8*z2*z3*ln2+3/2*z2*z3*Sinf+1/2*z2*ln2^2* Sinf^2+7/12*z2*ln2^3*Sinf+5/12*z2*ln2^4+3*z2*li4half-3/10*z2^2*ln2* Sinf-147/80*z2^2*ln2^2+3/5*z2^2*Sinf^2-327/140*z2^3-23/16*z3*ln2* Sinf^2-23/16*z3*ln2^2*Sinf-23/48*z3*ln2^3-193/64*z3^2+31/64*z5*ln2 +35/32*z5*Sinf-3*ln2*Sinf*li4half+ln2*li5half-3/2*ln2^2*li4half-1/ 16*ln2^4*Sinf^2-11/120*ln2^5*Sinf-1/18*ln2^6-4*Sinf*li5half-3/2* Sinf^2*li4half+11*li6half+17/4*s6; Fill Htab6(1,1,-1,-1,0,1)=13/8*z2*z3*ln2+7/16*z2*z3*Sinf+1/4*z2*ln2^2* Sinf^2+1/12*z2*ln2^3*Sinf-13/20*z2^2*ln2*Sinf-27/80*z2^2*ln2^2+3/80 *z2^2*Sinf^2-501/560*z2^3-5/16*z3*ln2*Sinf^2-5/16*z3*ln2^2*Sinf-5/ 48*z3*ln2^3-127/128*z3^2+29/16*z5*Sinf+1/40*ln2^5*Sinf+1/120*ln2^6 -3*Sinf*li5half+6*li6half+3/4*s6; Fill Htab6(1,1,-1,-1,0,0)=z2*z3*ln2+3/8*z2*z3*Sinf+1/4*z2*ln2^2*Sinf^2 +1/3*z2*ln2^3*Sinf+1/4*z2*ln2^4+3*z2*li4half+19/20*z2^2*ln2*Sinf- 9/40*z2^2*ln2^2+3/8*z2^2*Sinf^2-1/280*z2^3-1/2*z3*ln2*Sinf^2-1/2*z3 *ln2^2*Sinf-1/6*z3*ln2^3+5/8*z3^2-153/32*z5*Sinf-1/24*ln2^4*Sinf^2 -1/30*ln2^5*Sinf-1/120*ln2^6+4*Sinf*li5half-Sinf^2*li4half-6* li6half-3/2*s6; Fill Htab6(1,1,-1,1,-1,-1)=31/8*z2*z3*ln2+23/16*z2*z3*Sinf+1/2*z2* ln2^2*Sinf^2+7/12*z2*ln2^3*Sinf+7/24*z2*ln2^4+3/2*z2*li4half+57/40* z2^2*ln2*Sinf+13/40*z2^2*ln2^2+3/5*z2^2*Sinf^2-7/60*z2^3-23/16*z3* ln2*Sinf^2-39/16*z3*ln2^2*Sinf-55/48*z3*ln2^3-177/128*z3^2-11/2*z5* ln2-375/64*z5*Sinf-1/12*ln2^4*Sinf^2-7/120*ln2^5*Sinf-1/72*ln2^6+ 3*Sinf*li5half-3/2*Sinf^2*li4half; Fill Htab6(1,1,-1,1,-1,1)=-9/4*z2*z3*ln2-9/8*z2*z3*Sinf-1/8*z2*ln2^2* Sinf^2-1/3*z2*ln2^3*Sinf-1/6*z2*ln2^4-1/5*z2^2*ln2*Sinf-7/80*z2^2* ln2^2+1/80*z2^2*Sinf^2+233/560*z2^3+1/8*z3*ln2*Sinf^2+9/8*z3*ln2^2* Sinf+17/24*z3*ln2^3+101/64*z3^2+29/16*z5*Sinf+1/48*ln2^4*Sinf^2+1/ 30*ln2^5*Sinf+7/720*ln2^6-3*li6half+3/4*s6; Fill Htab6(1,1,-1,1,-1,0)=4*z2*z3*ln2+7/4*z2*z3*Sinf+1/8*z2*ln2^2* Sinf^2+1/6*z2*ln2^3*Sinf+1/16*z2*ln2^4-11/40*z2^2*ln2*Sinf-29/40* z2^2*ln2^2+1/20*z2^2*Sinf^2-423/280*z2^3-1/2*z3*ln2*Sinf^2-1/2*z3* ln2^2*Sinf-1/6*z3*ln2^3-35/16*z3^2-29/64*z5*Sinf+1/40*ln2^5*Sinf+ 1/80*ln2^6-3*Sinf*li5half+9*li6half; Fill Htab6(1,1,-1,1,1,-1)=-7/8*z2*z3*ln2-7/16*z2*z3*Sinf-1/8*z2*ln2^2* Sinf^2-1/12*z2*ln2^3*Sinf-1/24*z2*ln2^4-1/8*z2^2*ln2*Sinf+1/16*z2^2 *ln2^2-1/16*z2^2*Sinf^2+467/560*z2^3+7/16*z3*ln2*Sinf^2+7/16*z3* ln2^2*Sinf+7/48*z3*ln2^3+229/128*z3^2+6*z5*ln2-81/64*z5*Sinf+1/48 *ln2^4*Sinf^2+1/120*ln2^5*Sinf+1/720*ln2^6+3*Sinf*li5half-9*li6half -15/4*s6; Fill Htab6(1,1,-1,1,1,1)=-1/2*z2*li4half-4*Sinf*li5half+1/2*Sinf^2* li4half+10*li6half; Fill Htab6(1,1,-1,1,1,0)=-1/8*z2*z3*ln2-15/16*z2*z3*Sinf-1/12*z2*ln2^3* Sinf+5/48*z2*ln2^4+7/2*z2*li4half+13/40*z2^2*ln2*Sinf-1/8*z2^2* ln2^2-1/40*z2^2*Sinf^2+1/40*z2^3+1/16*z3*ln2*Sinf^2+1/16*z3*ln2^2* Sinf+1/48*z3*ln2^3+63/128*z3^2+29/64*z5*Sinf-1/48*ln2^4*Sinf^2-1/ 30*ln2^5*Sinf-1/72*ln2^6+4*Sinf*li5half-1/2*Sinf^2*li4half-10* li6half; Fill Htab6(1,1,-1,1,0,-1)=13/4*z2*z3*ln2+3/4*z2*z3*Sinf+3/8*z2*ln2^2* Sinf^2-1/16*z2*ln2^4+2*z2*li4half+63/20*z2^2*ln2*Sinf+161/80*z2^2* ln2^2+33/40*z2^2*Sinf^2+39/16*z2^3-13/8*z3*ln2*Sinf^2-13/8*z3*ln2^2 *Sinf-13/24*z3*ln2^3+7/4*z3^2-465/64*z5*ln2-845/64*z5*Sinf+3*ln2* Sinf*li4half-ln2*li5half+3/2*ln2^2*li4half-1/12*ln2^4*Sinf^2+1/30* ln2^5*Sinf+11/240*ln2^6+11*Sinf*li5half-2*Sinf^2*li4half-18*li6half -7*s6; Fill Htab6(1,1,-1,1,0,1)=1/4*z2*z3*ln2-13/8*z2*z3*Sinf-1/8*z2*ln2^2* Sinf^2+1/6*z2*ln2^4+7/2*z2*li4half+6/5*z2^2*ln2*Sinf-21/80*z2^2* ln2^2+19/80*z2^2*Sinf^2-37/560*z2^3-1/8*z3*ln2*Sinf^2-1/8*z3*ln2^2* Sinf-1/24*z3*ln2^3+123/64*z3^2-29/16*z5*Sinf-1/48*ln2^4*Sinf^2-1/ 30*ln2^5*Sinf-7/720*ln2^6+4*Sinf*li5half-1/2*Sinf^2*li4half-7* li6half-3/4*s6; Fill Htab6(1,1,-1,1,0,0)=3/4*z2*z3*ln2+11/8*z2*z3*Sinf-1/6*z2*ln2^3* Sinf-5/24*z2*ln2^4-3*z2*li4half+11/40*z2^2*ln2*Sinf+67/80*z2^2* ln2^2+19/80*z2^2*Sinf^2+53/112*z2^3-3/8*z3*ln2*Sinf^2-3/8*z3*ln2^2* Sinf-1/8*z3*ln2^3-55/64*z3^2-159/64*z5*Sinf+1/60*ln2^5*Sinf+1/180 *ln2^6-2*Sinf*li5half+4*li6half-9/4*s6; Fill Htab6(1,1,-1,0,-1,-1)=-65/16*z2*z3*ln2-11/8*z2*z3*Sinf-3/8*z2* ln2^2*Sinf^2-3/4*z2*ln2^3*Sinf-23/48*z2*ln2^4-3*z2*li4half-51/40* z2^2*ln2*Sinf+9/80*z2^2*ln2^2-3/5*z2^2*Sinf^2+509/560*z2^3+11/8*z3* ln2*Sinf^2+43/16*z3*ln2^2*Sinf+4/3*z3*ln2^3+145/64*z3^2+403/64*z5* ln2+87/32*z5*Sinf+3*ln2*Sinf*li4half-2*ln2*li5half+ln2^2*li4half+ 1/16*ln2^4*Sinf^2+1/8*ln2^5*Sinf+13/240*ln2^6+3/2*Sinf^2*li4half-3* li6half-9/4*s6; Fill Htab6(1,1,-1,0,-1,1)=37/16*z2*z3*ln2+29/16*z2*z3*Sinf-1/4*z2* ln2^2*Sinf^2+5/12*z2*ln2^3*Sinf+3/16*z2*ln2^4+3/2*z2*li4half+37/10* z2^2*ln2*Sinf+181/80*z2^2*ln2^2+5/8*z2^2*Sinf^2+1641/560*z2^3-1/2* z3*ln2*Sinf^2-29/16*z3*ln2^2*Sinf-25/24*z3*ln2^3+293/128*z3^2-521/ 32*z5*Sinf+1/2*ln2^2*li4half-1/12*ln2^4*Sinf^2-7/60*ln2^5*Sinf-1/80 *ln2^6+14*Sinf*li5half-2*Sinf^2*li4half-24*li6half-23/2*s6; Fill Htab6(1,1,-1,0,-1,0)=-95/16*z2*z3*ln2-33/16*z2*z3*Sinf-1/2*z2* ln2^2*Sinf^2-1/3*z2*ln2^3*Sinf-5/16*z2*ln2^4-11/2*z2*li4half-19/20* z2^2*ln2*Sinf+9/10*z2^2*ln2^2-11/16*z2^2*Sinf^2+859/840*z2^3+z3*ln2 *Sinf^2+z3*ln2^2*Sinf+1/3*z3*ln2^3+117/128*z3^2+129/16*z5*Sinf+1/ 12*ln2^4*Sinf^2+1/30*ln2^5*Sinf+1/180*ln2^6-4*Sinf*li5half+2*Sinf^2 *li4half+4*li6half+7/2*s6; Fill Htab6(1,1,-1,0,1,-1)=-5/16*z2*z3*ln2-13/16*z2*z3*Sinf+1/4*z2*ln2^2 *Sinf^2-1/12*z2*ln2^3*Sinf+1/48*z2*ln2^4-3/2*z2*li4half-18/5*z2^2* ln2*Sinf-177/80*z2^2*ln2^2-7/10*z2^2*Sinf^2-1749/560*z2^3+13/16*z3* ln2*Sinf^2+13/16*z3*ln2^2*Sinf+13/48*z3*ln2^3-709/128*z3^2-465/64* z5*ln2+911/64*z5*Sinf-ln2*Sinf*li4half+4*ln2*li5half-1/2*ln2^2* li4half+1/12*ln2^4*Sinf^2+1/15*ln2^5*Sinf-1/80*ln2^6-13*Sinf* li5half+2*Sinf^2*li4half+30*li6half+31/2*s6; Fill Htab6(1,1,-1,0,1,1)=-1/8*z2*z3*ln2-1/16*z2*z3*Sinf+1/8*z2*ln2^2* Sinf^2+1/12*z2*ln2^3*Sinf+1/24*z2*ln2^4+1/2*z2*li4half-43/40*z2^2* ln2*Sinf-53/80*z2^2*ln2^2+1/16*z2^2*Sinf^2-131/560*z2^3+1/16*z3*ln2 *Sinf^2+1/16*z3*ln2^2*Sinf+1/48*z3*ln2^3-117/128*z3^2+81/64*z5*Sinf -1/48*ln2^4*Sinf^2-1/120*ln2^5*Sinf-1/720*ln2^6+Sinf*li5half-1/2* Sinf^2*li4half-li6half+15/4*s6; Fill Htab6(1,1,-1,0,1,0)=-3/2*z2*z3*ln2-1/8*z2*z3*Sinf-1/2*z2*ln2^2* Sinf^2-1/3*z2*ln2^3*Sinf-7/24*z2*ln2^4-5*z2*li4half-23/40*z2^2*ln2* Sinf+77/80*z2^2*ln2^2-51/80*z2^2*Sinf^2+281/336*z2^3+3/4*z3*ln2* Sinf^2+3/4*z3*ln2^2*Sinf+1/4*z3*ln2^3-1/4*z3^2+259/64*z5*Sinf+1/ 12*ln2^4*Sinf^2+1/30*ln2^5*Sinf+1/180*ln2^6-4*Sinf*li5half+2*Sinf^2 *li4half+4*li6half-3/4*s6; Fill Htab6(1,1,-1,0,0,-1)=-3/4*z2*z3*ln2+7/16*z2*z3*Sinf+1/6*z2*ln2^3* Sinf+1/16*z2*ln2^4-1/2*z2*li4half-49/40*z2^2*ln2*Sinf-39/80*z2^2* ln2^2-1/16*z2^2*Sinf^2-143/420*z2^3+3/8*z3*ln2*Sinf^2+3/8*z3*ln2^2* Sinf+1/8*z3*ln2^3+139/128*z3^2+31/4*z5*ln2+27/8*z5*Sinf-2*ln2* Sinf*li4half-2*ln2*li5half-ln2^2*li4half-1/20*ln2^5*Sinf-1/40*ln2^6 -4*Sinf*li5half-5/2*s6; Fill Htab6(1,1,-1,0,0,1)=3/4*z2*z3*ln2+2*z2*z3*Sinf+1/4*z2*ln2^2* Sinf^2+1/6*z2*ln2^3*Sinf-1/24*z2*ln2^4-2*z2*li4half+1/10*z2^2*ln2* Sinf+11/20*z2^2*ln2^2+3/10*z2^2*Sinf^2+13/12*z2^3-3/8*z3*ln2*Sinf^2 -3/8*z3*ln2^2*Sinf-1/8*z3*ln2^3-25/64*z3^2-85/16*z5*Sinf-1/24* ln2^4*Sinf^2-1/60*ln2^5*Sinf-1/360*ln2^6+2*Sinf*li5half-Sinf^2* li4half-2*li6half-3*s6; Fill Htab6(1,1,-1,0,0,0)=-3/4*z2*z3*Sinf+1/12*z2*ln2^4+2*z2*li4half-3/ 4*z2^2*ln2*Sinf-7/8*z2^2*ln2^2-7/40*z2^2*Sinf^2-167/280*z2^3+1/4* z3^2+91/32*z5*Sinf+5/2*s6; Fill Htab6(1,1,1,-1,-1,-1)=-3/2*z2*z3*ln2-1/2*z2*z3*Sinf-1/4*z2*ln2^2* Sinf^2-5/12*z2*ln2^3*Sinf-5/24*z2*ln2^4-1/2*z2*li4half-9/20*z2^2* ln2*Sinf-1/5*z2^2*Sinf^2+1/28*z2^3+1/2*z3*ln2*Sinf^2+z3*ln2^2*Sinf +5/9*z3*ln2^3+1/2*z3^2+2*z5*ln2+63/32*z5*Sinf+1/36*ln2^3*Sinf^3 +1/12*ln2^4*Sinf^2+7/120*ln2^5*Sinf+1/72*ln2^6-Sinf*li5half+1/2* Sinf^2*li4half; Fill Htab6(1,1,1,-1,-1,1)=z2*z3*ln2+7/16*z2*z3*Sinf+1/8*z2*ln2^2* Sinf^2+1/3*z2*ln2^3*Sinf+1/6*z2*ln2^4-3/40*z2^2*ln2*Sinf-11/80*z2^2 *ln2^2-1/16*z2^2*Sinf^2-9/112*z2^3-1/2*z3*ln2^2*Sinf-7/18*z3*ln2^3 +1/48*z3*Sinf^3-71/96*z3^2-29/64*z5*Sinf-1/36*ln2^3*Sinf^3-1/16* ln2^4*Sinf^2-1/20*ln2^5*Sinf-1/80*ln2^6+li6half-1/4*s6; Fill Htab6(1,1,1,-1,-1,0)=-5/3*z2*z3*ln2-11/16*z2*z3*Sinf-1/12*z2*ln2* Sinf^3-1/4*z2*ln2^2*Sinf^2-1/6*z2*ln2^3*Sinf+z2*li4half+3/2*z2^2* ln2*Sinf+19/20*z2^2*ln2^2+7/20*z2^2*Sinf^2+29/35*z2^3+1/48*z3* Sinf^3+5/3*z3^2-123/32*z5*Sinf-1/24*ln2^4*Sinf^2-1/24*ln2^5*Sinf- 1/90*ln2^6+5*Sinf*li5half-Sinf^2*li4half-8*li6half-2*s6; Fill Htab6(1,1,1,-1,1,-1)=13/6*z2*z3*ln2+9/8*z2*z3*Sinf+1/12*z2*ln2* Sinf^3+3/8*z2*ln2^2*Sinf^2+1/3*z2*ln2^3*Sinf+1/8*z2*ln2^4-1/40*z2^2 *ln2*Sinf-21/80*z2^2*ln2^2+9/80*z2^2*Sinf^2-431/560*z2^3-z3*ln2* Sinf^2-z3*ln2^2*Sinf-7/18*z3*ln2^3-1/24*z3*Sinf^3-173/96*z3^2-4* z5*ln2+23/64*z5*Sinf-1/36*ln2^3*Sinf^3-1/16*ln2^4*Sinf^2-1/40*ln2^5 *Sinf-1/240*ln2^6-3*Sinf*li5half+7*li6half+9/4*s6; Fill Htab6(1,1,1,-1,1,1)=-1/6*z2*z3*ln2-7/16*z2*z3*Sinf-1/12*z2*ln2* Sinf^3-1/12*z2*ln2^3*Sinf+3/2*z2*li4half+1/4*z2^2*ln2*Sinf+1/18*z3* ln2^3+7/48*z3*Sinf^3+7/24*z3^2+1/36*ln2^3*Sinf^3+6*Sinf*li5half-3/ 2*Sinf^2*li4half-10*li6half; Fill Htab6(1,1,1,-1,1,0)=1/6*z2*z3*ln2+9/4*z2*z3*Sinf+1/12*z2*ln2* Sinf^3+1/8*z2*ln2^2*Sinf^2+1/12*z2*ln2^3*Sinf-1/6*z2*ln2^4-9/2*z2* li4half-47/40*z2^2*ln2*Sinf+7/80*z2^2*ln2^2-3/16*z2^2*Sinf^2+73/560 *z2^3-1/6*z3*Sinf^3-125/96*z3^2+29/64*z5*Sinf+1/16*ln2^4*Sinf^2+1/ 20*ln2^5*Sinf+1/80*ln2^6-6*Sinf*li5half+3/2*Sinf^2*li4half+9* li6half+1/4*s6; Fill Htab6(1,1,1,-1,0,-1)=-59/24*z2*z3*ln2-3/4*z2*z3*Sinf+1/12*z2*ln2* Sinf^3-3/8*z2*ln2^2*Sinf^2-1/6*z2*ln2^3*Sinf-5/48*z2*ln2^4-2*z2* li4half-15/8*z2^2*ln2*Sinf-7/16*z2^2*ln2^2-3/4*z2^2*Sinf^2-139/560* z2^3+21/16*z3*ln2*Sinf^2+21/16*z3*ln2^2*Sinf+7/16*z3*ln2^3-1/24*z3* Sinf^3+5/12*z3^2+155/32*z5*ln2+61/8*z5*Sinf-ln2*Sinf*li4half-ln2* li5half-1/2*ln2^2*li4half+1/12*ln2^4*Sinf^2+1/120*ln2^5*Sinf-1/144* ln2^6-6*Sinf*li5half+2*Sinf^2*li4half+4*li6half+s6; Fill Htab6(1,1,1,-1,0,1)=1/3*z2*z3*ln2+19/16*z2*z3*Sinf+1/6*z2*ln2* Sinf^3-1/8*z2*ln2^2*Sinf^2-1/12*z2*ln2^3*Sinf-1/8*z2*ln2^4-5/2*z2* li4half-1/40*z2^2*ln2*Sinf+49/80*z2^2*ln2^2-29/80*z2^2*Sinf^2+47/ 112*z2^3-5/48*z3*Sinf^3-23/96*z3^2-23/64*z5*Sinf+1/16*ln2^4*Sinf^2 +1/40*ln2^5*Sinf+1/240*ln2^6-3*Sinf*li5half+3/2*Sinf^2*li4half+3* li6half-9/4*s6; Fill Htab6(1,1,1,-1,0,0)=-2*z2*z3*Sinf+1/4*z2*ln2^2*Sinf^2+1/6*z2*ln2^3 *Sinf+5/24*z2*ln2^4+4*z2*li4half+1/10*z2^2*ln2*Sinf-19/20*z2^2* ln2^2+1/10*z2^2*Sinf^2-121/140*z2^3+1/8*z3*Sinf^3+3/4*z3^2+15/8* z5*Sinf-1/24*ln2^4*Sinf^2-1/60*ln2^5*Sinf-1/360*ln2^6+2*Sinf* li5half-Sinf^2*li4half-2*li6half+2*s6; Fill Htab6(1,1,1,1,-1,-1)=-7/6*z2*z3*ln2-9/16*z2*z3*Sinf-1/12*z2*ln2* Sinf^3-3/8*z2*ln2^2*Sinf^2-1/3*z2*ln2^3*Sinf-5/48*z2*ln2^4+1/5*z2^2 *ln2*Sinf+19/80*z2^2*ln2^2-1/40*z2^2*Sinf^2+9/40*z2^3+1/2*z3*ln2* Sinf^2+2/3*z3*ln2^2*Sinf+5/18*z3*ln2^3+1/48*z3*Sinf^3+2/3*z3^2+z5 *ln2+1/32*z5*Sinf+1/48*ln2^2*Sinf^4+1/18*ln2^3*Sinf^3+1/16*ln2^4* Sinf^2+1/40*ln2^5*Sinf+1/240*ln2^6+Sinf*li5half-2*li6half-1/2*s6; Fill Htab6(1,1,1,1,-1,1)=1/3*z2*z3*ln2+25/24*z2*z3*Sinf+1/6*z2*ln2* Sinf^3+1/8*z2*ln2^2*Sinf^2+1/6*z2*ln2^3*Sinf+1/48*z2*Sinf^4-3/2*z2* li4half-1/2*z2^2*ln2*Sinf-1/80*z2^2*ln2^2-1/8*z2^2*Sinf^2+1/80*z2^3 -1/6*z3*ln2^2*Sinf-1/9*z3*ln2^3-7/24*z3*Sinf^3-7/12*z3^2-1/48* ln2^2*Sinf^4-1/18*ln2^3*Sinf^3-4*Sinf*li5half+3/2*Sinf^2*li4half+5* li6half; Fill Htab6(1,1,1,1,-1,0)=-1/2*z2*z3*ln2-89/48*z2*z3*Sinf-1/4*z2*ln2* Sinf^3+5/48*z2*ln2^4-1/48*z2*Sinf^4+5/2*z2*li4half+9/10*z2^2*ln2* Sinf-7/40*z2^2*ln2^2+2/5*z2^2*Sinf^2-23/80*z2^3+13/48*z3*Sinf^3+ 19/24*z3^2-1/32*z5*Sinf-1/16*ln2^4*Sinf^2-1/40*ln2^5*Sinf-1/240* ln2^6+3*Sinf*li5half-3/2*Sinf^2*li4half-3*li6half+1/2*s6; Fill Htab6(1,1,1,1,1,-1)=-1/3*z2*z3*ln2-29/48*z2*z3*Sinf-1/6*z2*ln2* Sinf^3-1/8*z2*ln2^2*Sinf^2-1/12*z2*ln2^3*Sinf-1/48*z2*Sinf^4+1/2*z2 *li4half+11/40*z2^2*ln2*Sinf+1/80*z2^2*ln2^2+1/8*z2^2*Sinf^2-1/80* z2^3+1/6*z3*ln2*Sinf^2+1/6*z3*ln2^2*Sinf+1/18*z3*ln2^3+7/48*z3* Sinf^3+7/24*z3^2+1/5*z5*ln2+1/120*ln2*Sinf^5+1/48*ln2^2*Sinf^4+1/ 36*ln2^3*Sinf^3+Sinf*li5half-1/2*Sinf^2*li4half-li6half; Fill Htab6(1,1,1,1,1,1)=-1/6*z2*z3*Sinf-1/48*z2*Sinf^4+1/80*z2^2*Sinf^2 -1/112*z2^3+1/18*z3*Sinf^3+1/18*z3^2+1/5*z5*Sinf+1/720*Sinf^6; Fill Htab6(1,1,1,1,1,0)=-5/6*z2*z3*Sinf-1/24*z2*Sinf^4+1/20*z2^2*Sinf^2 -3/56*z2^3+1/6*z3*Sinf^3+1/3*z3^2+z5*Sinf; Fill Htab6(1,1,1,1,0,-1)=-7/8*z2*z3*ln2+1/24*z2*z3*Sinf-1/8*z2*ln2^2* Sinf^2-1/6*z2*ln2^3*Sinf-5/48*z2*ln2^4+1/48*z2*Sinf^4-z2*li4half+ 1/4*z2^2*ln2^2-3/16*z2^2*Sinf^2+3/40*z2^3+7/16*z3*ln2*Sinf^2+7/16* z3*ln2^2*Sinf+7/48*z3*ln2^3-5/48*z3*Sinf^3+67/384*z3^2-27/32*z5* Sinf+ln2*Sinf*li4half+ln2*li5half+1/2*ln2^2*li4half+1/48*ln2^4* Sinf^2+1/30*ln2^5*Sinf+1/72*ln2^6+Sinf*li5half+1/2*Sinf^2*li4half +li6half; Fill Htab6(1,1,1,1,0,1)=4/3*z2*z3*Sinf+1/24*z2*Sinf^4+7/20*z2^2*Sinf^2 +159/280*z2^3-1/3*z3*Sinf^3-2/3*z3^2-4*z5*Sinf; Fill Htab6(1,1,1,1,0,0)=-3/2*z2*z3*Sinf-1/20*z2^2*Sinf^2-17/140*z2^3+ 1/6*z3*Sinf^3+5/6*z3^2+2*z5*Sinf; Fill Htab6(1,1,1,0,-1,-1)=-7/16*z2*z3*ln2-1/16*z2*z3*Sinf-1/6*z2*ln2^3* Sinf-7/48*z2*ln2^4-1/2*z2*li4half+1/8*z2^2*ln2^2-3/80*z2^2*Sinf^2 -3/16*z2^3+7/16*z3*ln2^2*Sinf+7/24*z3*ln2^3+1/48*z3*Sinf^3-35/384 *z3^2-31/32*z5*ln2-25/32*z5*Sinf+ln2*Sinf*li4half+2*ln2*li5half+ ln2^2*li4half+1/30*ln2^5*Sinf+1/36*ln2^6+Sinf*li5half+2*li6half+1/ 2*s6; Fill Htab6(1,1,1,0,-1,1)=3/8*z2*z3*ln2-3/8*z2*z3*Sinf-1/4*z2*ln2* Sinf^3+3/8*z2*ln2^2*Sinf^2+1/12*z2*ln2^3*Sinf+3/16*z2*ln2^4+2*z2* li4half-13/40*z2^2*ln2*Sinf-1/2*z2^2*ln2^2+9/80*z2^2*Sinf^2-351/560 *z2^3-7/16*z3*ln2^2*Sinf-7/24*z3*ln2^3+13/48*z3*Sinf^3-223/192*z3^2 +81/64*z5*Sinf-1/2*ln2^2*li4half-1/16*ln2^4*Sinf^2-1/120*ln2^5*Sinf -7/360*ln2^6+Sinf*li5half-3/2*Sinf^2*li4half+li6half+5/2*s6; Fill Htab6(1,1,1,0,-1,0)=-21/16*z2*z3*ln2+15/16*z2*z3*Sinf-1/16*z2* ln2^4-3/2*z2*li4half+3/8*z2^2*ln2^2+17/80*z2^2*Sinf^2+149/336*z2^3 -1/4*z3*Sinf^3-13/128*z3^2-41/32*z5*Sinf; Fill Htab6(1,1,1,0,1,-1)=9/4*z2*z3*ln2+11/8*z2*z3*Sinf+1/4*z2*ln2* Sinf^3-1/8*z2*ln2^2*Sinf^2+5/12*z2*ln2^3*Sinf+3/16*z2*ln2^4+z2* li4half+13/40*z2^2*ln2*Sinf-1/4*z2^2*ln2^2+1/80*z2^2*Sinf^2+281/560 *z2^3-7/8*z3*ln2*Sinf^2-7/8*z3*ln2^2*Sinf-7/24*z3*ln2^3-1/6*z3* Sinf^3-31/192*z3^2+81/64*z5*Sinf-3*ln2*Sinf*li4half-4*ln2*li5half -3/2*ln2^2*li4half+1/48*ln2^4*Sinf^2-11/120*ln2^5*Sinf-13/360*ln2^6 -4*Sinf*li5half+1/2*Sinf^2*li4half-5*li6half-5/2*s6; Fill Htab6(1,1,1,0,1,1)=-1/2*z2*z3*Sinf-3/5*z2^2*Sinf^2-59/35*z2^3+1/ 6*z3*Sinf^3+1/3*z3^2+6*z5*Sinf; Fill Htab6(1,1,1,0,1,0)=3*z2*z3*Sinf+7/20*z2^2*Sinf^2+149/420*z2^3-1/ 3*z3*Sinf^3-5/3*z3^2-11/2*z5*Sinf; Fill Htab6(1,1,1,0,0,-1)=-7/4*z2*z3*ln2-3/4*z2*z3*Sinf-1/4*z2*ln2^2* Sinf^2-1/3*z2*ln2^3*Sinf-5/24*z2*ln2^4-2*z2*li4half+1/2*z2^2*ln2^2 -11/20*z2^2*Sinf^2+37/840*z2^3+7/8*z3*ln2*Sinf^2+7/8*z3*ln2^2*Sinf +7/24*z3*ln2^3+1/8*z3*Sinf^3+57/64*z3^2+31/32*z5*ln2-15/32*z5* Sinf+2*ln2*Sinf*li4half+2*ln2*li5half+ln2^2*li4half+1/24*ln2^4* Sinf^2+1/15*ln2^5*Sinf+1/36*ln2^6+2*Sinf*li5half+Sinf^2*li4half+2 *li6half-1/2*s6; Fill Htab6(1,1,1,0,0,1)=1/2*z2*z3*Sinf-1/4*z2^2*Sinf^2+97/420*z2^3+1/ 6*z3*Sinf^3-2/3*z3^2-1/2*z5*Sinf; Fill Htab6(1,1,1,0,0,0)=-z2*z3*Sinf-1/5*z2^2*Sinf^2-9/70*z2^3+z3^2+ 2*z5*Sinf; Fill Htab6(1,1,0,-1,-1,-1)=7/8*z2*z3*ln2+7/16*z2*z3*Sinf+1/8*z2*ln2^2* Sinf^2+1/6*z2*ln2^3*Sinf+1/24*z2*ln2^4+z2*li4half-1/4*z2^2*ln2^2+ 1/5*z2^2*Sinf^2-73/280*z2^3-7/16*z3*ln2*Sinf^2-7/16*z3*ln2^2*Sinf- 49/128*z3^2+1/8*z5*Sinf-ln2*Sinf*li4half-1/48*ln2^4*Sinf^2-1/30* ln2^5*Sinf-Sinf*li5half-1/2*Sinf^2*li4half; Fill Htab6(1,1,0,-1,-1,1)=1/8*z2*ln2^2*Sinf^2-1/4*z2*ln2^3*Sinf+1/16* z2*ln2^4-1/2*z2*li4half-3/20*z2^2*ln2*Sinf+23/80*z2^2*ln2^2-9/40* z2^2*Sinf^2-9/56*z2^3-7/48*z3*ln2^3+19/128*z3^2+29/16*z5*Sinf-1/2 *ln2^2*li4half+1/24*ln2^4*Sinf^2+1/40*ln2^5*Sinf-13/720*ln2^6-3* Sinf*li5half+Sinf^2*li4half+2*li6half-1/4*s6; Fill Htab6(1,1,0,-1,-1,0)=-7/16*z2*z3*ln2-1/8*z2*z3*Sinf-1/48*z2*ln2^4 -1/2*z2*li4half+1/8*z2^2*ln2^2-1/16*z2^2*Sinf^2+71/560*z2^3+15/ 128*z3^2+5/8*z5*Sinf; Fill Htab6(1,1,0,-1,1,-1)=-35/16*z2*z3*ln2-21/16*z2*z3*Sinf-3/4*z2* ln2^2*Sinf^2+1/6*z2*ln2^3*Sinf-1/6*z2*ln2^4-1/2*z2*li4half+1/5*z2^2 *ln2*Sinf-1/5*z2^2*ln2^2-7/40*z2^2*Sinf^2+529/560*z2^3+21/16*z3*ln2 *Sinf^2+21/16*z3*ln2^2*Sinf+7/24*z3*ln2^3+241/128*z3^2+279/64*z5* ln2-101/64*z5*Sinf+ln2*Sinf*li4half-2*ln2*li5half+1/2*ln2^2*li4half +1/36*ln2^6+5*Sinf*li5half-7*li6half-9/4*s6; Fill Htab6(1,1,0,-1,1,1)=-7/16*z2*z3*ln2-1/4*z2*ln2^3*Sinf-1/12*z2* ln2^4-3/2*z2*li4half+39/40*z2^2*ln2*Sinf+43/80*z2^2*ln2^2-11/40* z2^2*Sinf^2+25/56*z2^3+7/48*z3*ln2^3+229/128*z3^2-23/64*z5*Sinf+1/ 16*ln2^4*Sinf^2+1/40*ln2^5*Sinf+1/720*ln2^6-3*Sinf*li5half+3/2* Sinf^2*li4half+li6half-15/4*s6; Fill Htab6(1,1,0,-1,1,0)=7/16*z2*z3*ln2-13/8*z2*z3*Sinf+1/2*z2*ln2^2* Sinf^2+5/24*z2*ln2^4+5*z2*li4half-9/8*z2^2*ln2*Sinf-5/4*z2^2*ln2^2 +13/80*z2^2*Sinf^2-711/560*z2^3-15/16*z3^2+363/64*z5*Sinf-1/12* ln2^4*Sinf^2-2*Sinf^2*li4half+7/2*s6; Fill Htab6(1,1,0,-1,0,-1)=63/16*z2*z3*ln2+23/16*z2*z3*Sinf+1/2*z2* ln2^2*Sinf^2+2/3*z2*ln2^3*Sinf+7/16*z2*ln2^4+9/2*z2*li4half-9/8* z2^2*ln2^2+13/16*z2^2*Sinf^2-79/140*z2^3-7/4*z3*ln2*Sinf^2-7/4*z3* ln2^2*Sinf-7/12*z3*ln2^3-137/128*z3^2+31/16*z5*ln2+33/32*z5*Sinf- 4*ln2*Sinf*li4half-4*ln2*li5half-2*ln2^2*li4half-1/12*ln2^4*Sinf^2- 2/15*ln2^5*Sinf-1/18*ln2^6-4*Sinf*li5half-2*Sinf^2*li4half-4* li6half-s6; Fill Htab6(1,1,0,-1,0,1)=7/8*z2*z3*ln2-5/8*z2*z3*Sinf+1/24*z2*ln2^4+ z2*li4half-1/4*z2^2*ln2^2+3/80*z2^2*Sinf^2-261/560*z2^3+45/128*z3^2 +29/32*z5*Sinf; Fill Htab6(1,1,0,-1,0,0)=3/2*z2*z3*Sinf+21/40*z2^2*Sinf^2-19/420*z2^3 -47/64*z3^2-67/16*z5*Sinf; Fill Htab6(1,1,0,1,-1,-1)=7/2*z2*z3*ln2+21/16*z2*z3*Sinf+5/8*z2*ln2^2* Sinf^2+5/12*z2*ln2^3*Sinf+13/24*z2*ln2^4+5/2*z2*li4half-1/20*z2^2* ln2*Sinf-37/80*z2^2*ln2^2+7/16*z2^2*Sinf^2-41/280*z2^3-21/16*z3*ln2 *Sinf^2-35/16*z3*ln2^2*Sinf-49/48*z3*ln2^3-209/128*z3^2-93/64*z5* ln2+85/64*z5*Sinf-3*ln2*Sinf*li4half-4*ln2*li5half-3*ln2^2*li4half -1/24*ln2^4*Sinf^2-11/120*ln2^5*Sinf-67/720*ln2^6-4*Sinf*li5half- Sinf^2*li4half-li6half+s6; Fill Htab6(1,1,0,1,-1,1)=-7/4*z2*z3*ln2-7/8*z2*z3*Sinf-3/8*z2*ln2^2* Sinf^2+1/3*z2*ln2^3*Sinf-13/48*z2*ln2^4+1/5*z2^2*ln2*Sinf-13/40* z2^2*ln2^2+7/16*z2^2*Sinf^2+61/80*z2^3+7/8*z3*ln2^2*Sinf+7/12*z3* ln2^3+49/32*z3^2-29/16*z5*Sinf+3/2*ln2^2*li4half-1/16*ln2^4*Sinf^2 -1/30*ln2^5*Sinf+1/18*ln2^6+4*Sinf*li5half-3/2*Sinf^2*li4half-5* li6half; Fill Htab6(1,1,0,1,-1,0)=21/8*z2*z3*ln2+15/8*z2*z3*Sinf-1/2*z2*ln2^2* Sinf^2-1/16*z2*ln2^4-3/2*z2*li4half+9/8*z2^2*ln2*Sinf+3/8*z2^2* ln2^2-33/80*z2^2*Sinf^2-11/560*z2^3-39/64*z3^2-257/64*z5*Sinf+1/ 12*ln2^4*Sinf^2+2*Sinf^2*li4half-7/2*s6; Fill Htab6(1,1,0,1,1,-1)=-7/8*z2*z3*ln2-7/16*z2*z3*Sinf+1/4*z2*ln2^2* Sinf^2-7/12*z2*ln2^3*Sinf-1/6*z2*ln2^4-2*z2*li4half-47/40*z2^2*ln2* Sinf+53/80*z2^2*ln2^2-9/40*z2^2*Sinf^2-321/280*z2^3+7/16*z3*ln2* Sinf^2+7/16*z3*ln2^2*Sinf+7/48*z3*ln2^3-131/128*z3^2-23/64*z5*Sinf +3*ln2*Sinf*li4half+6*ln2*li5half+3/2*ln2^2*li4half+1/48*ln2^4* Sinf^2+13/120*ln2^5*Sinf+19/720*ln2^6+2*Sinf*li5half+1/2*Sinf^2* li4half+10*li6half+15/4*s6; Fill Htab6(1,1,0,1,1,1)=1/5*z2^2*Sinf^2+73/35*z2^3-4*z5*Sinf; Fill Htab6(1,1,0,1,1,0)=-z2*z3*Sinf-1/4*z2^2*Sinf^2-117/140*z2^3+1/2* z3^2+9/2*z5*Sinf; Fill Htab6(1,1,0,1,0,-1)=7/2*z2*z3*ln2+3/4*z2*z3*Sinf+1/2*z2*ln2^2* Sinf^2+2/3*z2*ln2^3*Sinf+5/12*z2*ln2^4+4*z2*li4half-z2^2*ln2^2+71/ 80*z2^2*Sinf^2+25/56*z2^3-7/4*z3*ln2*Sinf^2-7/4*z3*ln2^2*Sinf-7/12* z3*ln2^3-7/4*z3^2-279/64*z5*ln2+89/64*z5*Sinf-4*ln2*Sinf*li4half- 4*ln2*li5half-2*ln2^2*li4half-1/12*ln2^4*Sinf^2-2/15*ln2^5*Sinf-1/ 18*ln2^6-4*Sinf*li5half-2*Sinf^2*li4half-4*li6half+9/4*s6; Fill Htab6(1,1,0,1,0,1)=-2*z2*z3*Sinf+3/20*z2^2*Sinf^2-13/140*z2^3+2* z3^2+2*z5*Sinf; Fill Htab6(1,1,0,1,0,0)=2*z2*z3*Sinf+3/5*z2^2*Sinf^2+11/30*z2^3-2* z3^2-11/2*z5*Sinf; Fill Htab6(1,1,0,0,-1,-1)=-21/8*z2*z3*ln2-7/8*z2*z3*Sinf-1/4*z2*ln2^2* Sinf^2-2/3*z2*ln2^3*Sinf-1/2*z2*ln2^4-3*z2*li4half+3/4*z2^2*ln2^2 -3/8*z2^2*Sinf^2-47/280*z2^3+7/8*z3*ln2*Sinf^2+7/4*z3*ln2^2*Sinf+ 7/8*z3*ln2^3+3/8*z3^2-93/32*z5*ln2-39/16*z5*Sinf+4*ln2*Sinf*li4half +6*ln2*li5half+3*ln2^2*li4half+1/24*ln2^4*Sinf^2+2/15*ln2^5*Sinf+ 1/12*ln2^6+4*Sinf*li5half+Sinf^2*li4half+6*li6half+3/2*s6; Fill Htab6(1,1,0,0,-1,1)=1/4*z2*z3*ln2+7/8*z2*z3*Sinf-1/4*z2*ln2^2* Sinf^2+1/6*z2*ln2^3*Sinf+5/24*z2*ln2^4+8/5*z2^2*ln2*Sinf-1/10*z2^2* Sinf^2-1/280*z2^3-7/8*z3*ln2^2*Sinf-7/12*z3*ln2^3-29/32*z3^2-85/ 16*z5*Sinf-ln2^2*li4half+1/24*ln2^4*Sinf^2-1/60*ln2^5*Sinf-7/180* ln2^6+2*Sinf*li5half+Sinf^2*li4half+2*li6half+1/2*s6; Fill Htab6(1,1,0,0,-1,0)=-21/8*z2*z3*ln2-13/8*z2*z3*Sinf-1/8*z2*ln2^4 -3*z2*li4half+3/4*z2^2*ln2^2-21/40*z2^2*Sinf^2+193/210*z2^3+67/64 *z3^2+83/16*z5*Sinf; Fill Htab6(1,1,0,0,1,-1)=-1/4*z2*z3*ln2-7/8*z2*z3*Sinf-1/6*z2*ln2^3* Sinf-1/12*z2*ln2^4-8/5*z2^2*ln2*Sinf-19/80*z2^2*Sinf^2+21/40*z2^3 +7/8*z3*ln2*Sinf^2+7/8*z3*ln2^2*Sinf+7/24*z3*ln2^3+47/64*z3^2+93/ 64*z5*ln2+311/64*z5*Sinf-2*ln2*li5half+1/60*ln2^5*Sinf+1/90*ln2^6 -2*Sinf*li5half-4*li6half-5/4*s6; Fill Htab6(1,1,0,0,1,1)=1/20*z2^2*Sinf^2-1/20*z2^3+1/2*z3^2-1/2*z5* Sinf; Fill Htab6(1,1,0,0,1,0)=-z2*z3*Sinf-3/5*z2^2*Sinf^2+41/210*z2^3-1/2* z3^2+9/2*z5*Sinf; Fill Htab6(1,1,0,0,0,-1)=1/2*z2*z3*Sinf+7/40*z2^2*Sinf^2-13/42*z2^3+ 5/8*z3^2+93/32*z5*ln2-59/32*z5*Sinf-3/2*s6; Fill Htab6(1,1,0,0,0,1)=z2*z3*Sinf+1/5*z2^2*Sinf^2+47/210*z2^3-1/2* z3^2-3*z5*Sinf; Fill Htab6(1,1,0,0,0,0)=-6/35*z2^3+1/2*z3^2+z5*Sinf; Fill Htab6(1,0,-1,-1,-1,-1)=7/16*z2*z3*ln2+1/6*z2*ln2^3*Sinf+7/48*z2* ln2^4+1/2*z2*li4half-1/8*z2^2*ln2^2+6/35*z2^3-7/16*z3*ln2^2*Sinf- 7/24*z3*ln2^3+17/128*z3^2+31/32*z5*ln2+z5*Sinf-ln2*Sinf*li4half-2 *ln2*li5half-ln2^2*li4half-1/30*ln2^5*Sinf-1/36*ln2^6-Sinf*li5half -2*li6half-1/2*s6; Fill Htab6(1,0,-1,-1,-1,1)=-7/8*z2*z3*ln2-7/8*z2*z3*Sinf-1/6*z2*ln2^3* Sinf-1/16*z2*ln2^4-1/2*z2*li4half+1/20*z2^2*ln2*Sinf+1/5*z2^2*ln2^2 +33/70*z2^3+7/16*z3*ln2^2*Sinf+7/24*z3*ln2^3+181/128*z3^2+15/16* z5*Sinf+1/2*ln2^2*li4half-1/120*ln2^5*Sinf+11/720*ln2^6+Sinf* li5half-4*li6half-s6; Fill Htab6(1,0,-1,-1,-1,0)=21/16*z2*z3*ln2+15/16*z2*z3*Sinf+1/16*z2* ln2^4+3/2*z2*li4half-3/8*z2^2*ln2^2-197/840*z2^3-131/128*z3^2-59/ 32*z5*Sinf; Fill Htab6(1,0,-1,-1,1,-1)=21/16*z2*z3*Sinf+1/12*z2*ln2^3*Sinf-17/48* z2*ln2^4-3/2*z2*li4half-1/10*z2^2*ln2*Sinf+1/5*z2^2*ln2^2-29/35* z2^3-321/128*z3^2-341/64*z5*ln2-125/32*z5*Sinf+3*ln2*Sinf*li4half +4*ln2*li5half+3/2*ln2^2*li4half+7/60*ln2^5*Sinf+11/240*ln2^6+ Sinf*li5half+12*li6half+9/2*s6; Fill Htab6(1,0,-1,-1,1,1)=-3/16*z2*z3*Sinf-1/12*z2*ln2^3*Sinf+1/8*z2* ln2^4+z2^2*ln2*Sinf-33/80*z2^2*ln2^2+113/140*z2^3+57/128*z3^2-123/ 32*z5*Sinf-1/24*ln2^5*Sinf-1/120*ln2^6+5*Sinf*li5half-6*li6half-3/ 4*s6; Fill Htab6(1,0,-1,-1,1,0)=13/16*z2*z3*Sinf-1/3*z2*ln2^3*Sinf-1/12*z2* ln2^4-2*z2*li4half-1/5*z2^2*ln2*Sinf+17/16*z2^2*ln2^2+25/42*z2^3+ 91/128*z3^2+7/8*z5*Sinf+1/30*ln2^5*Sinf-4*Sinf*li5half-13/4*s6; Fill Htab6(1,0,-1,-1,0,-1)=-23/16*z2*z3*Sinf-129/280*z2^3+151/128*z3^2 +93/64*z5*ln2+177/64*z5*Sinf-3/4*s6; Fill Htab6(1,0,-1,-1,0,1)=-5/16*z2*z3*Sinf-3/40*z2^3+25/128*z3^2+5/8* z5*Sinf; Fill Htab6(1,0,-1,-1,0,0)=-1/2*z2*z3*Sinf-41/168*z2^3+3/8*z3^2+23/16* z5*Sinf; Fill Htab6(1,0,-1,1,-1,-1)=-21/16*z2*z3*ln2-21/16*z2*z3*Sinf-5/12*z2* ln2^3*Sinf+1/8*z2*ln2^4+3/2*z2*li4half-49/40*z2^2*ln2*Sinf-1/4*z2^2 *ln2^2+493/560*z2^3+21/16*z3*ln2^2*Sinf+7/8*z3*ln2^3+243/64*z3^2+ 93/8*z5*ln2+247/32*z5*Sinf-3*ln2*Sinf*li4half-6*ln2*li5half-ln2^2* li4half-1/12*ln2^5*Sinf-1/80*ln2^6-5*Sinf*li5half-15*li6half-15/2 *s6; Fill Htab6(1,0,-1,1,-1,1)=21/8*z2*z3*ln2+27/16*z2*z3*Sinf+3/4*z2*ln2^3 *Sinf-1/24*z2*ln2^4+1/2*z2*li4half-21/40*z2^2*ln2*Sinf-13/40*z2^2* ln2^2-587/560*z2^3-21/16*z3*ln2^2*Sinf-7/8*z3*ln2^3-105/32*z3^2- 29/64*z5*Sinf-1/2*ln2^2*li4half+1/40*ln2^5*Sinf-1/120*ln2^6-3*Sinf* li5half+9*li6half+7/4*s6; Fill Htab6(1,0,-1,1,-1,0)=-63/16*z2*z3*ln2-29/16*z2*z3*Sinf+2/3*z2* ln2^3*Sinf-1/48*z2*ln2^4-1/2*z2*li4half+23/20*z2^2*ln2*Sinf-z2^2* ln2^2+17/48*z2^3+73/128*z3^2-3*z5*Sinf-1/15*ln2^5*Sinf+8*Sinf* li5half+5*s6; Fill Htab6(1,0,-1,1,1,-1)=-1/3*z2*ln2^3*Sinf-1/2*z2*li4half-1/10*z2^2* ln2*Sinf+6/5*z2^2*ln2^2-467/560*z2^3-45/32*z3^2-465/64*z5*ln2+33/ 64*z5*Sinf+ln2*Sinf*li4half+4*ln2*li5half+1/2*ln2^2*li4half+1/20* ln2^5*Sinf-Sinf*li5half+9*li6half+15/4*s6; Fill Htab6(1,0,-1,1,1,1)=-7/8*z2*z3*Sinf+1/16*z2*ln2^4+3/20*z2^2*ln2* Sinf-39/80*z2^2*ln2^2-2/35*z2^3+1/32*z3^2-1/32*z5*Sinf-1/40*ln2^5 *Sinf-1/240*ln2^6+3*Sinf*li5half-3*li6half+9/4*s6; Fill Htab6(1,0,-1,1,1,0)=1/16*z2*z3*Sinf-1/3*z2*ln2^3*Sinf-1/8*z2* ln2^4-3*z2*li4half+7/40*z2^2*ln2*Sinf+21/16*z2^2*ln2^2+169/210*z2^3 +247/128*z3^2+99/64*z5*Sinf+1/30*ln2^5*Sinf-4*Sinf*li5half-21/4* s6; Fill Htab6(1,0,-1,1,0,-1)=-5/16*z2*z3*Sinf+2/3*z2*ln2^3*Sinf+13/48*z2* ln2^4+5/2*z2*li4half-17/5*z2^2*ln2*Sinf-5/8*z2^2*ln2^2+799/560*z2^3 +649/128*z3^2+1457/64*z5*ln2+547/32*z5*Sinf-8*ln2*Sinf*li4half-16 *ln2*li5half-4*ln2^2*li4half-1/5*ln2^5*Sinf-1/15*ln2^6-16*Sinf* li5half-24*li6half-13*s6; Fill Htab6(1,0,-1,1,0,1)=5/2*z2*z3*Sinf-1/8*z2*ln2^4-3*z2*li4half-3/ 8*z2^2*ln2*Sinf+3/4*z2^2*ln2^2+183/140*z2^3-127/64*z3^2-257/64*z5* Sinf-3/2*s6; Fill Htab6(1,0,-1,1,0,0)=-3/8*z2*z3*Sinf+1/6*z2*ln2^4+4*z2*li4half-9/ 4*z2^2*ln2*Sinf-z2^2*ln2^2-619/420*z2^3-53/64*z3^2+171/32*z5*Sinf +5*s6; Fill Htab6(1,0,-1,0,-1,-1)=7/4*z2*z3*ln2+3/2*z2*z3*Sinf+2/3*z2*ln2^3* Sinf+7/12*z2*ln2^4+2*z2*li4half-1/2*z2^2*ln2^2+93/80*z2^3-7/4*z3* ln2^2*Sinf-7/6*z3*ln2^3-93/128*z3^2+155/64*z5*ln2+73/64*z5*Sinf-4 *ln2*Sinf*li4half-8*ln2*li5half-4*ln2^2*li4half-2/15*ln2^5*Sinf-1/9 *ln2^6-4*Sinf*li5half-8*li6half-5/4*s6; Fill Htab6(1,0,-1,0,-1,1)=-41/16*z2*z3*ln2-2*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-1/2*z2*ln2^4-2*z2*li4half-17/10*z2^2*ln2*Sinf+1/2*z2^2*ln2^2 +153/280*z2^3+7/4*z3*ln2^2*Sinf+7/6*z3*ln2^3+383/128*z3^2+129/16* z5*Sinf+2*ln2^2*li4half+1/30*ln2^5*Sinf+7/90*ln2^6-4*Sinf*li5half -4*li6half-s6; Fill Htab6(1,0,-1,0,-1,0)=21/4*z2*z3*ln2+11/4*z2*z3*Sinf+1/4*z2*ln2^4 +6*z2*li4half-3/2*z2^2*ln2^2-49/40*z2^3-3*z3^2-23/4*z5*Sinf; Fill Htab6(1,0,-1,0,1,-1)=-15/16*z2*z3*ln2+9/8*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-1/6*z2*ln2^4-2*z2*li4half+17/10*z2^2*ln2*Sinf+1/2*z2^2*ln2^2 -45/56*z2^3-133/64*z3^2-217/32*z5*ln2-331/32*z5*Sinf+4*ln2*Sinf* li4half+8*ln2*li5half+2*ln2^2*li4half+1/10*ln2^5*Sinf+1/30*ln2^6+ 8*Sinf*li5half+12*li6half+9/2*s6; Fill Htab6(1,0,-1,0,1,1)=11/16*z2*z3*Sinf+17/56*z2^3-125/128*z3^2-41/ 32*z5*Sinf; Fill Htab6(1,0,-1,0,1,0)=3/4*z2*z3*Sinf+17/140*z2^3+5/32*z3^2-2*z5* Sinf; Fill Htab6(1,0,-1,0,0,-1)=-3/4*z2*z3*Sinf+677/1680*z2^3-45/64*z3^2- 155/32*z5*ln2+51/32*z5*Sinf+5/2*s6; Fill Htab6(1,0,-1,0,0,1)=-21/8*z2*z3*Sinf-643/840*z2^3+139/64*z3^2+83/ 16*z5*Sinf; Fill Htab6(1,0,-1,0,0,0)=61/105*z2^3-3/4*z3^2-15/4*z5*Sinf; Fill Htab6(1,0,1,-1,-1,-1)=21/16*z2*z3*ln2+7/16*z2*z3*Sinf+1/3*z2* ln2^3*Sinf+1/4*z2*ln2^4-1/2*z2*li4half+51/40*z2^2*ln2*Sinf+1/10* z2^2*ln2^2-45/112*z2^3-21/16*z3*ln2^2*Sinf-7/6*z3*ln2^3-31/16*z3^2 -403/64*z5*ln2-39/8*z5*Sinf+ln2*Sinf*li4half+2*ln2*li5half-ln2^2* li4half+1/120*ln2^5*Sinf-7/144*ln2^6+4*Sinf*li5half+7*li6half+4* s6; Fill Htab6(1,0,1,-1,-1,1)=-21/8*z2*z3*ln2-21/16*z2*z3*Sinf-1/3*z2*ln2^3 *Sinf-5/12*z2*ln2^4-3/2*z2*li4half-53/40*z2^2*ln2*Sinf+13/40*z2^2* ln2^2+23/112*z2^3+21/16*z3*ln2^2*Sinf+7/6*z3*ln2^3+67/32*z3^2+405/ 64*z5*Sinf+3/2*ln2^2*li4half+1/30*ln2^5*Sinf+11/180*ln2^6-4*Sinf* li5half-li6half+1/4*s6; Fill Htab6(1,0,1,-1,-1,0)=77/16*z2*z3*ln2+23/16*z2*z3*Sinf-1/3*z2* ln2^3*Sinf+7/48*z2*ln2^4+7/2*z2*li4half-19/20*z2^2*ln2*Sinf-5/16* z2^2*ln2^2-337/336*z2^3-219/128*z3^2+7/8*z5*Sinf+1/30*ln2^5*Sinf- 4*Sinf*li5half-7/4*s6; Fill Htab6(1,0,1,-1,1,-1)=-7/8*z2*z3*ln2-3/8*z2*z3*Sinf-1/4*z2*ln2^3* Sinf+3/8*z2*ln2^4+3/2*z2*li4half+21/40*z2^2*ln2*Sinf-7/40*z2^2* ln2^2+659/560*z2^3+7/24*z3*ln2^3+149/64*z3^2+93/16*z5*ln2+z5*Sinf -3*ln2*Sinf*li4half-4*ln2*li5half-3/2*ln2^2*li4half-1/8*ln2^5*Sinf -17/360*ln2^6-13*li6half-19/4*s6; Fill Htab6(1,0,1,-1,1,1)=7/8*z2*z3*ln2+21/8*z2*z3*Sinf+1/4*z2*ln2^3* Sinf-7/48*z2*ln2^4-57/40*z2^2*ln2*Sinf+31/80*z2^2*ln2^2-6/35*z2^3 -7/24*z3*ln2^3-235/64*z3^2+29/64*z5*Sinf+1/20*ln2^5*Sinf+7/720* ln2^6-6*Sinf*li5half+7*li6half+3/4*s6; Fill Htab6(1,0,1,-1,1,0)=-7/8*z2*z3*ln2-z2*z3*Sinf+2/3*z2*ln2^3*Sinf+ 1/8*z2*ln2^4+3*z2*li4half+23/20*z2^2*ln2*Sinf-15/8*z2^2*ln2^2-59/84 *z2^3-19/4*z5*Sinf-1/15*ln2^5*Sinf+8*Sinf*li5half+5*s6; Fill Htab6(1,0,1,-1,0,-1)=-7/8*z2*z3*ln2-1/4*z2*z3*Sinf-2/3*z2*ln2^3* Sinf-5/16*z2*ln2^4-7/2*z2*li4half+17/5*z2^2*ln2*Sinf+7/8*z2^2*ln2^2 -933/560*z2^3-123/32*z3^2-1271/64*z5*ln2-507/32*z5*Sinf+8*ln2* Sinf*li4half+16*ln2*li5half+4*ln2^2*li4half+1/5*ln2^5*Sinf+1/15* ln2^6+16*Sinf*li5half+24*li6half+23/2*s6; Fill Htab6(1,0,1,-1,0,1)=-7/4*z2*z3*ln2-13/4*z2*z3*Sinf+1/24*z2*ln2^4 +z2*li4half+3/8*z2^2*ln2*Sinf-1/4*z2^2*ln2^2-37/35*z2^3+207/64* z3^2+363/64*z5*Sinf+3/2*s6; Fill Htab6(1,0,1,-1,0,0)=3/4*z2*z3*Sinf-1/6*z2*ln2^4-4*z2*li4half+9/ 4*z2^2*ln2*Sinf+z2^2*ln2^2+139/120*z2^3-1/32*z3^2-139/32*z5*Sinf- 5*s6; Fill Htab6(1,0,1,1,-1,-1)=-7/16*z2*z3*ln2+3/16*z2*z3*Sinf+1/12*z2*ln2^3 *Sinf-23/48*z2*ln2^4-3/2*z2*li4half+17/40*z2^2*ln2*Sinf-19/80*z2^2* ln2^2-55/56*z2^3+7/16*z3*ln2^2*Sinf+7/24*z3*ln2^3-37/64*z3^2-93/ 64*z5*ln2-277/64*z5*Sinf+3*ln2*Sinf*li4half+6*ln2*li5half+3*ln2^2* li4half+11/120*ln2^5*Sinf+31/360*ln2^6+4*Sinf*li5half+8*li6half+5/ 4*s6; Fill Htab6(1,0,1,1,-1,1)=7/8*z2*z3*ln2-35/16*z2*z3*Sinf-5/12*z2*ln2^3* Sinf+23/48*z2*ln2^4+3/2*z2*li4half+53/40*z2^2*ln2*Sinf+5/16*z2^2* ln2^2-36/35*z2^3-7/16*z3*ln2^2*Sinf-7/24*z3*ln2^3+137/64*z3^2+29/ 64*z5*Sinf-3/2*ln2^2*li4half-1/30*ln2^5*Sinf-47/720*ln2^6+4*Sinf* li5half-2*li6half-3/4*s6; Fill Htab6(1,0,1,1,-1,0)=-21/16*z2*z3*ln2+19/16*z2*z3*Sinf-1/3*z2*ln2^3 *Sinf-5/48*z2*ln2^4-5/2*z2*li4half-53/40*z2^2*ln2*Sinf+19/16*z2^2* ln2^2+551/420*z2^3-129/128*z3^2+99/64*z5*Sinf+1/30*ln2^5*Sinf-4* Sinf*li5half+1/4*s6; Fill Htab6(1,0,1,1,1,-1)=7/8*z2*z3*Sinf+1/3*z2*ln2^3*Sinf-1/16*z2* ln2^4+1/2*z2*li4half-1/20*z2^2*ln2*Sinf-57/80*z2^2*ln2^2+44/35*z2^3 -1/32*z3^2-1/32*z5*Sinf-ln2*Sinf*li4half-4*ln2*li5half-1/2*ln2^2* li4half-1/40*ln2^5*Sinf+1/240*ln2^6-2*Sinf*li5half-6*li6half-9/4* s6; Fill Htab6(1,0,1,1,1,1)=-8/7*z2^3+z5*Sinf; Fill Htab6(1,0,1,1,1,0)=z2*z3*Sinf+118/105*z2^3-z3^2-3*z5*Sinf; Fill Htab6(1,0,1,1,0,-1)=-3/16*z2*z3*Sinf-711/560*z2^3+225/128*z3^2+ 465/64*z5*ln2+53/64*z5*Sinf-15/4*s6; Fill Htab6(1,0,1,1,0,1)=-2*z2*z3*Sinf-6/5*z2^3+2*z3^2+9/2*z5*Sinf; Fill Htab6(1,0,1,1,0,0)=z2*z3*Sinf-17/42*z2^3-1/2*z3^2-1/2*z5*Sinf; Fill Htab6(1,0,1,0,-1,-1)=7/4*z2*z3*ln2+7/16*z2*z3*Sinf+2/3*z2*ln2^3* Sinf+7/12*z2*ln2^4+2*z2*li4half-1/2*z2^2*ln2^2+67/70*z2^3-7/4*z3* ln2^2*Sinf-7/6*z3*ln2^3-25/128*z3^2+155/64*z5*ln2+103/32*z5*Sinf- 4*ln2*Sinf*li4half-8*ln2*li5half-4*ln2^2*li4half-2/15*ln2^5*Sinf-1/ 9*ln2^6-4*Sinf*li5half-8*li6half-5/4*s6; Fill Htab6(1,0,1,0,-1,1)=-1/2*z2*z3*ln2+1/2*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-1/2*z2*ln2^4-2*z2*li4half-83/40*z2^2*ln2*Sinf+1/2*z2^2*ln2^2 +589/560*z2^3+7/4*z3*ln2^2*Sinf+7/6*z3*ln2^3-5/32*z3^2+259/64*z5* Sinf+2*ln2^2*li4half+1/30*ln2^5*Sinf+7/90*ln2^6-4*Sinf*li5half-4* li6half-7/4*s6; Fill Htab6(1,0,1,0,-1,0)=21/4*z2*z3*ln2+1/4*z2*z3*Sinf+1/4*z2*ln2^4+ 6*z2*li4half-3/2*z2^2*ln2^2-191/112*z2^3+5/32*z3^2-2*z5*Sinf; Fill Htab6(1,0,1,0,1,-1)=-3*z2*z3*ln2-7/8*z2*z3*Sinf-1/3*z2*ln2^3*Sinf -1/6*z2*ln2^4-2*z2*li4half+83/40*z2^2*ln2*Sinf+1/2*z2^2*ln2^2-661/ 560*z2^3+9/64*z3^2-93/16*z5*ln2-227/32*z5*Sinf+4*ln2*Sinf*li4half +8*ln2*li5half+2*ln2^2*li4half+1/10*ln2^5*Sinf+1/30*ln2^6+8*Sinf* li5half+12*li6half+19/4*s6; Fill Htab6(1,0,1,0,1,1)=3*z2*z3*Sinf+8/7*z2^3-4*z3^2-11/2*z5*Sinf; Fill Htab6(1,0,1,0,1,0)=-2*z2*z3*Sinf-31/70*z2^3+4*z3^2+2*z5*Sinf; Fill Htab6(1,0,1,0,0,-1)=1/8*z2*z3*Sinf+683/840*z2^3-155/64*z3^2-217/ 32*z5*ln2+11/32*z5*Sinf+7/2*s6; Fill Htab6(1,0,1,0,0,1)=-2*z2*z3*Sinf-143/210*z2^3+z3^2+9/2*z5*Sinf; Fill Htab6(1,0,1,0,0,0)=74/105*z2^3-z3^2-4*z5*Sinf; Fill Htab6(1,0,0,-1,-1,-1)=-7/8*z2*z3*ln2-1/2*z2*z3*Sinf-1/3*z2*ln2^3* Sinf-5/12*z2*ln2^4-z2*li4half+1/4*z2^2*ln2^2-673/840*z2^3+7/8*z3* ln2^2*Sinf+7/8*z3*ln2^3-9/64*z3^2-93/32*z5*ln2-33/32*z5*Sinf+2* ln2*Sinf*li4half+6*ln2*li5half+3*ln2^2*li4half+1/15*ln2^5*Sinf+1/12 *ln2^6+2*Sinf*li5half+6*li6half+3/2*s6; Fill Htab6(1,0,0,-1,-1,1)=7/4*z2*z3*ln2+3/4*z2*z3*Sinf+1/3*z2*ln2^3* Sinf+11/24*z2*ln2^4+2*z2*li4half+19/20*z2^2*ln2*Sinf-13/10*z2^2* ln2^2-221/210*z2^3-7/8*z3*ln2^2*Sinf-7/8*z3*ln2^3-179/64*z3^2-153/ 32*z5*Sinf-2*ln2^2*li4half-1/30*ln2^5*Sinf-3/40*ln2^6+4*Sinf* li5half+6*li6half+4*s6; Fill Htab6(1,0,0,-1,-1,0)=-7/2*z2*z3*ln2-7/8*z2*z3*Sinf-1/6*z2*ln2^4- 4*z2*li4half+z2^2*ln2^2+159/140*z2^3+49/32*z3^2+23/16*z5*Sinf; Fill Htab6(1,0,0,-1,1,-1)=7/8*z2*z3*ln2+1/2*z2*z3*Sinf-1/2*z2*ln2^3* Sinf-1/12*z2*ln2^4-z2*li4half+11/40*z2^2*ln2*Sinf+37/20*z2^2*ln2^2 +1091/1680*z2^3-7/24*z3*ln2^3+1/2*z3^2-155/32*z5*ln2-15/8*z5*Sinf +2*ln2*Sinf*li4half+2*ln2*li5half+ln2^2*li4half+1/12*ln2^5*Sinf+1/ 45*ln2^6-2*li6half-11/4*s6; Fill Htab6(1,0,0,-1,1,1)=-7/8*z2*z3*ln2-13/8*z2*z3*Sinf+1/6*z2*ln2^3* Sinf-1/24*z2*ln2^4+1/10*z2^2*ln2*Sinf-4/5*z2^2*ln2^2-5/6*z2^3+7/ 24*z3*ln2^3+81/64*z3^2+15/8*z5*Sinf-1/60*ln2^5*Sinf+1/360*ln2^6+2 *Sinf*li5half+2*li6half+3*s6; Fill Htab6(1,0,0,-1,1,0)=7/8*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+9/ 4*z2^2*ln2*Sinf+1/2*z2^2*ln2^2+59/70*z2^3+z3^2-139/32*z5*Sinf-5* s6; Fill Htab6(1,0,0,-1,0,-1)=7/8*z2*z3*ln2-5/8*z2*z3*Sinf+1/24*z2*ln2^4 +z2*li4half-1/4*z2^2*ln2^2-121/120*z2^3+71/64*z3^2+155/32*z5*ln2 +41/32*z5*Sinf-5/2*s6; Fill Htab6(1,0,0,-1,0,1)=7/4*z2*z3*ln2+9/4*z2*z3*Sinf+1/12*z2*ln2^4+ 2*z2*li4half-1/2*z2^2*ln2^2+19/210*z2^3-179/64*z3^2-67/16*z5*Sinf; Fill Htab6(1,0,0,-1,0,0)=-163/140*z2^3+33/32*z3^2+45/8*z5*Sinf; Fill Htab6(1,0,0,1,-1,-1)=-7/8*z2*z3*ln2-13/16*z2*z3*Sinf+1/6*z2*ln2^3* Sinf-1/24*z2*ln2^4+z2*li4half-49/40*z2^2*ln2*Sinf-21/20*z2^2*ln2^2 +893/1680*z2^3+7/8*z3*ln2^2*Sinf+7/12*z3*ln2^3+223/128*z3^2+527/ 64*z5*ln2+47/8*z5*Sinf-2*ln2*Sinf*li4half-6*ln2*li5half-ln2^2* li4half-1/20*ln2^5*Sinf-1/360*ln2^6-4*Sinf*li5half-8*li6half-3*s6 ; Fill Htab6(1,0,0,1,-1,1)=7/4*z2*z3*ln2+15/8*z2*z3*Sinf-1/6*z2*ln2^3* Sinf+1/12*z2*ln2^4+11/40*z2^2*ln2*Sinf+8/5*z2^2*ln2^2+1381/1680* z2^3-7/8*z3*ln2^2*Sinf-7/12*z3*ln2^3-9/16*z3^2-159/64*z5*Sinf+1/ 60*ln2^5*Sinf-1/180*ln2^6-2*Sinf*li5half-4*li6half-21/4*s6; Fill Htab6(1,0,0,1,-1,0)=-21/8*z2*z3*ln2-7/8*z2*z3*Sinf-9/4*z2^2*ln2* Sinf-9/560*z2^3-29/64*z3^2+171/32*z5*Sinf+5*s6; Fill Htab6(1,0,0,1,1,-1)=-1/16*z2*z3*Sinf+1/3*z2*ln2^3*Sinf+1/8*z2* ln2^4+z2*li4half-3/8*z2^2*ln2*Sinf-21/20*z2^2*ln2^2-13/120*z2^3- 67/128*z3^2+93/64*z5*ln2+151/64*z5*Sinf-2*ln2*Sinf*li4half-2*ln2* li5half-ln2^2*li4half-1/15*ln2^5*Sinf-1/40*ln2^6-2*Sinf*li5half+3/ 2*s6; Fill Htab6(1,0,0,1,1,1)=-z2*z3*Sinf-8/21*z2^3+z3^2+2*z5*Sinf; Fill Htab6(1,0,0,1,1,0)=13/70*z2^3-1/2*z5*Sinf; Fill Htab6(1,0,0,1,0,-1)=-1/4*z2*z3*Sinf-53/120*z2^3+23/32*z3^2+93/32 *z5*ln2+21/32*z5*Sinf-3/2*s6; Fill Htab6(1,0,0,1,0,1)=3*z2*z3*Sinf+37/42*z2^3-3*z3^2-11/2*z5*Sinf; Fill Htab6(1,0,0,1,0,0)=-38/35*z2^3+1/2*z3^2+6*z5*Sinf; Fill Htab6(1,0,0,0,-1,-1)=1/2*z2*z3*Sinf+11/168*z2^3-1/4*z3^2-29/32* z5*Sinf; Fill Htab6(1,0,0,0,-1,1)=-3/2*z2*z3*ln2-3/4*z2*z3*Sinf-3/4*z2^2*ln2* Sinf-53/168*z2^3+5/8*z3^2+91/32*z5*Sinf+5/2*s6; Fill Htab6(1,0,0,0,-1,0)=811/840*z2^3-3/4*z3^2-15/4*z5*Sinf; Fill Htab6(1,0,0,0,1,-1)=3/2*z2*z3*ln2+3/8*z2*z3*Sinf+3/4*z2^2*ln2* Sinf+179/840*z2^3-11/64*z3^2-31/16*z5*ln2-2*z5*Sinf-3/2*s6; Fill Htab6(1,0,0,0,1,1)=-z2*z3*Sinf-11/21*z2^3+3/2*z3^2+2*z5*Sinf; Fill Htab6(1,0,0,0,1,0)=118/105*z2^3-z3^2-4*z5*Sinf; Fill Htab6(1,0,0,0,0,-1)=-11/20*z2^3+3/4*z3^2+31/16*z5*ln2+15/16*z5* Sinf-s6; Fill Htab6(1,0,0,0,0,1)=-2/5*z2^3+1/2*z3^2+z5*Sinf; Fill Htab6(1,0,0,0,0,0)=-8/35*z2^3; Fill Htab6(0,-1,-1,-1,-1,-1)=1/16*z2*ln2^4+8/35*z2^3-7/48*z3*ln2^3- ln2*li5half-1/2*ln2^2*li4half-1/72*ln2^6-li6half; Fill Htab6(0,-1,-1,-1,-1,1)=-5/48*z2*ln2^4-z2*li4half+9/40*z2^2*ln2^2 +8/35*z2^3+7/48*z3*ln2^3+17/64*z3^2+1/2*ln2^2*li4half+1/48*ln2^6 -s6; Fill Htab6(0,-1,-1,-1,-1,0)=7/16*z2*z3*ln2+1/48*z2*ln2^4+1/2*z2* li4half-1/8*z2^2*ln2^2-1/5*z2^3+1/128*z3^2; Fill Htab6(0,-1,-1,-1,1,-1)=-7/16*z2*z3*ln2+1/48*z2*ln2^4+2*z2*li4half -17/40*z2^2*ln2^2-8/7*z2^3+7/48*z3*ln2^3-17/32*z3^2+31/32*z5*ln2 +3*ln2*li5half-1/48*ln2^6+3*li6half+2*s6; Fill Htab6(0,-1,-1,-1,1,1)=31/16*z2*z3*ln2+5/48*z2*ln2^4+z2*li4half- 31/40*z2^2*ln2^2-279/280*z2^3-7/48*z3*ln2^3-113/64*z3^2+1/120*ln2^6 +6*li6half+3/2*s6; Fill Htab6(0,-1,-1,-1,1,0)=-7/16*z2*z3*ln2+7/48*z2*ln2^4+3/2*z2*li4half -11/40*z2^2*ln2^2-1/14*z2^3+129/128*z3^2-1/180*ln2^6-4*li6half+ 1/2*s6; Fill Htab6(0,-1,-1,-1,0,-1)=-7/16*z2*z3*ln2-1/48*z2*ln2^4-1/2*z2* li4half+1/8*z2^2*ln2^2+11/15*z2^3-61/64*z3^2-155/32*z5*ln2+5/2*s6 ; Fill Htab6(0,-1,-1,-1,0,1)=-35/16*z2*z3*ln2-5/48*z2*ln2^4-5/2*z2* li4half+5/8*z2^2*ln2^2+1129/1680*z2^3+121/128*z3^2; Fill Htab6(0,-1,-1,-1,0,0)=41/105*z2^3-73/64*z3^2; Fill Htab6(0,-1,-1,1,-1,-1)=-3/16*z2*ln2^4-3*z2*li4half+21/16*z2^2* ln2^2+86/35*z2^3+45/32*z3^2-279/64*z5*ln2-3*ln2*li5half+3/2*ln2^2 *li4half+3/40*ln2^6-9*li6half-15/4*s6; Fill Htab6(0,-1,-1,1,-1,1)=-69/16*z2*z3*ln2-1/12*z2*ln2^4-3/2*z2* li4half+11/16*z2^2*ln2^2+417/560*z2^3+193/128*z3^2-3/2*ln2^2* li4half-47/720*ln2^6-2*li6half+9/4*s6; Fill Htab6(0,-1,-1,1,-1,0)=-3/8*z2*ln2^4-3*z2*li4half+3/40*z2^2*ln2^2 -179/560*z2^3-89/32*z3^2+1/60*ln2^6+12*li6half+2*s6; Fill Htab6(0,-1,-1,1,1,-1)=-3/16*z2*z3*ln2+1/16*z2*ln2^4+11/20*z2^2* ln2^2+299/560*z2^3+127/128*z3^2+31/64*z5*ln2+ln2*li5half-11/720* ln2^6-5*li6half-5/2*s6; Fill Htab6(0,-1,-1,1,1,1)=3/2*z2*z3*ln2+1/24*z2*ln2^4+1/2*z2*li4half -7/10*z2^2*ln2^2-33/28*z2^3-13/8*z3^2+1/90*ln2^6+8*li6half+2*s6 ; Fill Htab6(0,-1,-1,1,1,0)=5/24*z2*ln2^4+z2*li4half-19/80*z2^2*ln2^2+ 57/70*z2^3+89/128*z3^2-1/90*ln2^6-8*li6half-5/4*s6; Fill Htab6(0,-1,-1,1,0,-1)=-1/4*z2*ln2^4-2*z2*li4half+11/5*z2^2*ln2^2 +6529/1680*z2^3+547/128*z3^2+155/64*z5*ln2-8*ln2*li5half+1/30* ln2^6-24*li6half-23/2*s6; Fill Htab6(0,-1,-1,1,0,1)=-63/16*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half +11/16*z2^2*ln2^2+227/420*z2^3+187/128*z3^2+7/4*s6; Fill Htab6(0,-1,-1,1,0,0)=-1/24*z2*ln2^4-z2*li4half+11/8*z2^2*ln2^2+ 97/168*z2^3+3/64*z3^2-7/2*s6; Fill Htab6(0,-1,-1,0,-1,-1)=-4/5*z2^3+181/128*z3^2+465/64*z5*ln2-15/4 *s6; Fill Htab6(0,-1,-1,0,-1,1)=63/16*z2*z3*ln2+5/48*z2*ln2^4+5/2*z2* li4half-5/8*z2^2*ln2^2-22/35*z2^3-197/128*z3^2-7/4*s6; Fill Htab6(0,-1,-1,0,-1,0)=-1277/1680*z2^3+73/32*z3^2; Fill Htab6(0,-1,-1,0,1,-1)=1/12*z2*ln2^4+2*z2*li4half-1/2*z2^2*ln2^2 -171/280*z2^3-35/128*z3^2+93/64*z5*ln2+s6; Fill Htab6(0,-1,-1,0,1,1)=-1/560*z2^3+1/128*z3^2; Fill Htab6(0,-1,-1,0,1,0)=-49/240*z2^3+9/16*z3^2; Fill Htab6(0,-1,-1,0,0,-1)=-113/560*z2^3+23/64*z3^2+31/16*z5*ln2-s6; Fill Htab6(0,-1,-1,0,0,1)=21/8*z2*z3*ln2+1/8*z2*ln2^4+3*z2*li4half-3/ 4*z2^2*ln2^2-199/280*z2^3-45/32*z3^2; Fill Htab6(0,-1,-1,0,0,0)=-23/60*z2^3+3/4*z3^2; Fill Htab6(0,-1,1,-1,-1,-1)=1/12*z2*ln2^4+2*z2*li4half-7/4*z2^2*ln2^2 -86/35*z2^3+7/16*z3*ln2^3-73/64*z3^2+465/64*z5*ln2+ln2*li5half- 3/2*ln2^2*li4half-41/720*ln2^6+10*li6half+11/4*s6; Fill Htab6(0,-1,1,-1,-1,1)=63/16*z2*z3*ln2+1/16*z2*ln2^4+3/2*z2* li4half+9/10*z2^2*ln2^2+4/7*z2^3-7/16*z3*ln2^3+3/4*z3^2+3/2*ln2^2 *li4half+1/20*ln2^6-9*li6half-29/4*s6; Fill Htab6(0,-1,1,-1,-1,0)=-3/2*z2*z3*ln2+1/3*z2*ln2^4+2*z2*li4half+ 11/20*z2^2*ln2^2+403/560*z2^3+191/64*z3^2-1/60*ln2^6-12*li6half-2 *s6; Fill Htab6(0,-1,1,-1,1,-1)=33/16*z2*z3*ln2+1/4*z2*ln2^4-21/40*z2^2* ln2^2+31/140*z2^3-7/16*z3*ln2^3-21/32*z3^2-93/64*z5*ln2-3*ln2* li5half+1/40*ln2^6; Fill Htab6(0,-1,1,-1,1,1)=-45/8*z2*z3*ln2-5/16*z2*ln2^4-3/2*z2*li4half +27/20*z2^2*ln2^2+409/280*z2^3+7/16*z3*ln2^3+231/64*z3^2-1/80* ln2^6-9*li6half; Fill Htab6(0,-1,1,-1,1,0)=45/16*z2*z3*ln2-1/3*z2*ln2^4-23/20*z2^2* ln2^2-529/280*z2^3-65/16*z3^2+1/45*ln2^6+16*li6half+4*s6; Fill Htab6(0,-1,1,-1,0,-1)=27/16*z2*z3*ln2+5/12*z2*ln2^4+2*z2*li4half -39/10*z2^2*ln2^2-1507/210*z2^3-269/32*z3^2-31/4*z5*ln2+16*ln2* li5half-1/15*ln2^6+48*li6half+21*s6; Fill Htab6(0,-1,1,-1,0,1)=15/2*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half- 7/8*z2^2*ln2^2-49/60*z2^3-203/128*z3^2-5*s6; Fill Htab6(0,-1,1,-1,0,0)=-9/8*z2*z3*ln2-9/4*z2^2*ln2^2-53/240*z2^3+ 15/32*z3^2+5*s6; Fill Htab6(0,-1,1,1,-1,-1)=-3/16*z2*z3*ln2-1/6*z2*ln2^4-21/80*z2^2* ln2^2-75/112*z2^3-125/64*z3^2-93/16*z5*ln2+3*ln2*li5half+1/2* ln2^2*li4half+1/144*ln2^6+8*li6half+11/2*s6; Fill Htab6(0,-1,1,1,-1,1)=63/16*z2*z3*ln2+1/3*z2*ln2^4+2*z2*li4half- 89/80*z2^2*ln2^2-97/112*z2^3-249/128*z3^2-1/2*ln2^2*li4half-1/60* ln2^6+3*li6half-1/2*s6; Fill Htab6(0,-1,1,1,-1,0)=-39/16*z2*z3*ln2-1/16*z2*ln2^4-3/2*z2*li4half +9/8*z2^2*ln2^2+11/40*z2^3+169/128*z3^2; Fill Htab6(0,-1,1,1,1,-1)=-21/8*z2*z3*ln2-1/8*z2*ln2^4-z2*li4half+7/ 20*z2^2*ln2^2+107/140*z2^3+267/128*z3^2+155/32*z5*ln2-ln2*li5half -6*li6half-5/2*s6; Fill Htab6(0,-1,1,1,1,1)=-1/24*z2*ln2^4-z2*li4half+7/40*z2^2*ln2^2-1/ 4*z3^2+1/240*ln2^6+3*li6half-1/2*s6; Fill Htab6(0,-1,1,1,1,0)=-3/2*z2*z3*ln2+1/16*z2*ln2^4-1/2*z2*li4half+ 3/80*z2^2*ln2^2+5/14*z2^3+45/32*z3^2-1/180*ln2^6-4*li6half+3/4*s6 ; Fill Htab6(0,-1,1,1,0,-1)=15/16*z2*z3*ln2-7/48*z2*ln2^4+1/2*z2*li4half +63/40*z2^2*ln2^2+5627/1680*z2^3+439/128*z3^2+155/64*z5*ln2-8*ln2 *li5half+1/30*ln2^6-24*li6half-21/2*s6; Fill Htab6(0,-1,1,1,0,1)=69/16*z2*z3*ln2+11/48*z2*ln2^4+11/2*z2* li4half-19/16*z2^2*ln2^2-53/42*z2^3-287/128*z3^2-1/4*s6; Fill Htab6(0,-1,1,1,0,0)=-3/2*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+11/8 *z2^2*ln2^2+53/168*z2^3+53/32*z3^2-5/2*s6; Fill Htab6(0,-1,1,0,-1,-1)=-3/16*z2*z3*ln2+1/4*z2*ln2^4+2*z2*li4half- 1/2*z2^2*ln2^2+477/280*z2^3+685/128*z3^2+1457/64*z5*ln2-16*ln2* li5half-4*ln2^2*li4half-1/15*ln2^6-24*li6half-14*s6; Fill Htab6(0,-1,1,0,-1,1)=-39/16*z2*z3*ln2-7/12*z2*ln2^4-2*z2*li4half +171/40*z2^2*ln2^2+33/10*z2^3+793/128*z3^2+4*ln2^2*li4half+2/15* ln2^6-24*li6half-13*s6; Fill Htab6(0,-1,1,0,-1,0)=9/4*z2*z3*ln2+1/4*z2*ln2^4+6*z2*li4half-3/ 2*z2^2*ln2^2-545/336*z2^3-9/4*z3^2+4*s6; Fill Htab6(0,-1,1,0,1,-1)=87/16*z2*z3*ln2+1/2*z2*ln2^4+4*z2*li4half- 191/40*z2^2*ln2^2-909/140*z2^3-95/8*z3^2-1271/64*z5*ln2+16*ln2* li5half-1/15*ln2^6+48*li6half+26*s6; Fill Htab6(0,-1,1,0,1,1)=-33/8*z2*z3*ln2-1/48*z2*ln2^4-1/2*z2*li4half +1/8*z2^2*ln2^2-47/280*z2^3+143/64*z3^2+7/2*s6; Fill Htab6(0,-1,1,0,1,0)=3*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/2* z2^2*ln2^2+5/48*z2^3-65/16*z3^2; Fill Htab6(0,-1,1,0,0,-1)=-9/8*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+1/ 2*z2^2*ln2^2-423/560*z2^3+111/32*z3^2+155/16*z5*ln2-6*s6; Fill Htab6(0,-1,1,0,0,1)=9/8*z2*z3*ln2-1/6*z2*ln2^4-4*z2*li4half+ z2^2*ln2^2+331/560*z2^3+133/64*z3^2-5*s6; Fill Htab6(0,-1,1,0,0,0)=-617/840*z2^3-15/16*z3^2+4*s6; Fill Htab6(0,-1,0,-1,-1,-1)=1/4*z2*ln2^4+142/105*z2^3-7/12*z3*ln2^3- 23/32*z3^2-279/64*z5*ln2-4*ln2*li5half-2*ln2^2*li4half-1/18*ln2^6 -4*li6half+9/4*s6; Fill Htab6(0,-1,0,-1,-1,1)=-69/16*z2*z3*ln2-9/16*z2*ln2^4-11/2*z2* li4half+89/40*z2^2*ln2^2+775/336*z2^3+7/12*z3*ln2^3+499/128*z3^2+ 2*ln2^2*li4half+13/180*ln2^6-8*li6half-19/4*s6; Fill Htab6(0,-1,0,-1,-1,0)=7/4*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half- 1/2*z2^2*ln2^2+17/1680*z2^3-79/32*z3^2; Fill Htab6(0,-1,0,-1,1,-1)=-11/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half -11/5*z2^2*ln2^2-2237/840*z2^3+7/12*z3*ln2^3-49/16*z3^2+31/32*z5* ln2+4*ln2*li5half-1/90*ln2^6+16*li6half+9*s6; Fill Htab6(0,-1,0,-1,1,1)=91/16*z2*z3*ln2+7/24*z2*ln2^4+5*z2*li4half -2/5*z2^2*ln2^2-205/336*z2^3-7/12*z3*ln2^3-285/128*z3^2-1/180* ln2^6-4*li6half-7/2*s6; Fill Htab6(0,-1,0,-1,1,0)=-7/4*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2-203/240*z2^3+3/4*z3^2+4*s6; Fill Htab6(0,-1,0,-1,0,-1)=-7/4*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+ 1/2*z2^2*ln2^2+837/560*z2^3-17/16*z3^2-31/4*z5*ln2+4*s6; Fill Htab6(0,-1,0,-1,0,1)=-35/4*z2*z3*ln2-5/12*z2*ln2^4-10*z2*li4half +5/2*z2^2*ln2^2+211/80*z2^3+63/16*z3^2; Fill Htab6(0,-1,0,-1,0,0)=23/20*z2^3-45/16*z3^2; Fill Htab6(0,-1,0,1,-1,-1)=-7/24*z2*ln2^4-3*z2*li4half+8/5*z2^2*ln2^2 +1439/1680*z2^3+77/128*z3^2-403/64*z5*ln2+4*ln2*li5half+2*ln2^2* li4half+1/20*ln2^6-3/2*s6; Fill Htab6(0,-1,0,1,-1,1)=-39/8*z2*z3*ln2+1/6*z2*ln2^4-2*z2*li4half-6/ 5*z2^2*ln2^2-5/6*z2^3-59/64*z3^2-2*ln2^2*li4half-1/15*ln2^6+12* li6half+19/2*s6; Fill Htab6(0,-1,0,1,-1,0)=-1/6*z2*ln2^4-4*z2*li4half+z2^2*ln2^2+2389/ 1680*z2^3-3/16*z3^2-4*s6; Fill Htab6(0,-1,0,1,1,-1)=15/16*z2*z3*ln2-1/8*z2*ln2^4-z2*li4half+11/ 10*z2^2*ln2^2+2953/1680*z2^3+37/16*z3^2+31/16*z5*ln2-4*ln2*li5half +1/60*ln2^6-12*li6half-7*s6; Fill Htab6(0,-1,0,1,1,1)=21/16*z2*z3*ln2+1/16*z2*ln2^4+3/2*z2*li4half -3/8*z2^2*ln2^2-383/840*z2^3-51/128*z3^2; Fill Htab6(0,-1,0,1,1,0)=73/336*z2^3-23/32*z3^2; Fill Htab6(0,-1,0,1,0,-1)=3/560*z2^3; Fill Htab6(0,-1,0,1,0,1)=-21/4*z2*z3*ln2-1/4*z2*ln2^4-6*z2*li4half+3/ 2*z2^2*ln2^2+801/560*z2^3+91/32*z3^2; Fill Htab6(0,-1,0,1,0,0)=173/280*z2^3-9/8*z3^2; Fill Htab6(0,-1,0,0,-1,-1)=139/420*z2^3-19/32*z3^2-93/32*z5*ln2+3/2* s6; Fill Htab6(0,-1,0,0,-1,1)=27/8*z2*z3*ln2-157/1680*z2^3-33/64*z3^2-7/ 2*s6; Fill Htab6(0,-1,0,0,-1,0)=-21/40*z2^3+9/8*z3^2; Fill Htab6(0,-1,0,0,1,-1)=-27/8*z2*z3*ln2-173/840*z2^3+3/4*z3^2+155/ 32*z5*ln2+s6; Fill Htab6(0,-1,0,0,1,1)=21/8*z2*z3*ln2+1/8*z2*ln2^4+3*z2*li4half-3/ 4*z2^2*ln2^2-289/840*z2^3-163/64*z3^2; Fill Htab6(0,-1,0,0,1,0)=-303/280*z2^3+45/16*z3^2; Fill Htab6(0,-1,0,0,0,-1)=901/840*z2^3-33/16*z3^2-31/4*z5*ln2+4*s6; Fill Htab6(0,-1,0,0,0,1)=239/840*z2^3-3/4*z3^2; Fill Htab6(0,-1,0,0,0,0)=31/28*z2^3; Fill Htab6(0,1,-1,-1,-1,-1)=1/24*z2*ln2^4-1/2*z2*li4half+61/80*z2^2* ln2^2+26/35*z2^3-7/16*z3*ln2^3-17/128*z3^2-155/32*z5*ln2+ln2* li5half+1/2*ln2^2*li4half+7/720*ln2^6-2*li6half+1/2*s6; Fill Htab6(0,1,-1,-1,-1,1)=-21/8*z2*z3*ln2-1/8*z2*ln2^4-3/2*z2*li4half -19/80*z2^2*ln2^2+23/112*z2^3+7/16*z3*ln2^3-9/64*z3^2-1/2*ln2^2* li4half-1/60*ln2^6+3*li6half+3*s6; Fill Htab6(0,1,-1,-1,-1,0)=45/16*z2*z3*ln2-1/16*z2*ln2^4+1/2*z2* li4half-3/5*z2^2*ln2^2-429/560*z2^3-145/128*z3^2+1/180*ln2^6+4* li6half-1/2*s6; Fill Htab6(0,1,-1,-1,1,-1)=21/8*z2*z3*ln2+1/16*z2*ln2^4+3*z2*li4half -117/80*z2^2*ln2^2-135/112*z2^3+7/16*z3*ln2^3-21/64*z3^2+93/16*z5 *ln2-3*ln2*li5half+1/40*ln2^6-7/4*s6; Fill Htab6(0,1,-1,-1,1,1)=9/8*z2*z3*ln2+1/16*z2*ln2^4+93/80*z2^2*ln2^2 +71/56*z2^3-7/16*z3*ln2^3+105/128*z3^2-1/80*ln2^6-9*li6half-21/ 4*s6; Fill Htab6(0,1,-1,-1,1,0)=9/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 8*z2^2*ln2^2-7/8*z2^3+1/2*z3^2; Fill Htab6(0,1,-1,-1,0,-1)=-45/8*z2*z3*ln2-17/48*z2*ln2^4-9/2*z2* li4half+113/40*z2^2*ln2^2+8383/1680*z2^3+305/64*z3^2+155/64*z5*ln2 -8*ln2*li5half+1/30*ln2^6-24*li6half-8*s6; Fill Htab6(0,1,-1,-1,0,1)=-57/16*z2*z3*ln2+3/16*z2^2*ln2^2+149/420*z2^3 -11/128*z3^2+13/4*s6; Fill Htab6(0,1,-1,-1,0,0)=-3/2*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+ 13/8*z2^2*ln2^2+337/420*z2^3-3/64*z3^2-3/2*s6; Fill Htab6(0,1,-1,1,-1,-1)=-69/16*z2*z3*ln2-5/48*z2*ln2^4-3*z2*li4half +2/5*z2^2*ln2^2-187/560*z2^3+1/64*z3^2+93/64*z5*ln2+3*ln2*li5half -3/2*ln2^2*li4half-11/144*ln2^6+8*li6half+15/4*s6; Fill Htab6(0,1,-1,1,-1,1)=3/4*z2*z3*ln2-3/2*z2*li4half-3/20*z2^2*ln2^2 -79/560*z2^3-3/64*z3^2+3/2*ln2^2*li4half+1/15*ln2^6+3*li6half-3/ 4*s6; Fill Htab6(0,1,-1,1,-1,0)=-3/2*z2*z3*ln2+19/48*z2*ln2^4+3/2*z2*li4half +31/40*z2^2*ln2^2+1009/560*z2^3+39/16*z3^2-1/45*ln2^6-16*li6half -4*s6; Fill Htab6(0,1,-1,1,1,-1)=63/16*z2*z3*ln2+1/24*z2*ln2^4+3/2*z2*li4half -91/80*z2^2*ln2^2-83/140*z2^3-93/32*z3^2-465/64*z5*ln2-ln2* li5half+1/60*ln2^6+6*li6half+17/4*s6; Fill Htab6(0,1,-1,1,1,1)=5/48*z2*ln2^4+4*z2*li4half-17/80*z2^2*ln2^2 +2/35*z2^3+31/32*z3^2-1/80*ln2^6-9*li6half-1/4*s6; Fill Htab6(0,1,-1,1,1,0)=3/16*z2*z3*ln2-7/24*z2*ln2^4-z2*li4half-19/ 80*z2^2*ln2^2-43/70*z2^3-125/32*z3^2+1/60*ln2^6+12*li6half+13/4* s6; Fill Htab6(0,1,-1,1,0,-1)=-39/8*z2*z3*ln2+5/48*z2*ln2^4-11/2*z2*li4half -81/40*z2^2*ln2^2-8287/1680*z2^3-25/4*z3^2-31/4*z5*ln2+16*ln2* li5half-1/15*ln2^6+48*li6half+21*s6; Fill Htab6(0,1,-1,1,0,1)=-3/8*z2*z3*ln2-7/24*z2*ln2^4-7*z2*li4half+11/ 8*z2^2*ln2^2+163/105*z2^3+2*z3^2-5*s6; Fill Htab6(0,1,-1,1,0,0)=-9/8*z2*z3*ln2-9/4*z2^2*ln2^2+31/210*z2^3-1/ 2*z3^2+5*s6; Fill Htab6(0,1,-1,0,-1,-1)=33/8*z2*z3*ln2-1/16*z2*ln2^4+5/2*z2*li4half -5/8*z2^2*ln2^2-377/112*z2^3-97/16*z3^2-1271/64*z5*ln2+16*ln2* li5half+4*ln2^2*li4half+1/15*ln2^6+24*li6half+25/2*s6; Fill Htab6(0,1,-1,0,-1,1)=-3/2*z2*z3*ln2+1/3*z2*ln2^4-4*z2*li4half- 111/40*z2^2*ln2^2-251/140*z2^3-61/16*z3^2-4*ln2^2*li4half-2/15* ln2^6+24*li6half+23/2*s6; Fill Htab6(0,1,-1,0,-1,0)=3*z2*z3*ln2-11/30*z2^3+3/4*z3^2-4*s6; Fill Htab6(0,1,-1,0,1,-1)=-3/2*z2*z3*ln2-1/4*z2*ln2^4+2*z2*li4half+ 131/40*z2^2*ln2^2+323/70*z2^3+41/4*z3^2+1457/64*z5*ln2-16*ln2* li5half+1/15*ln2^6-48*li6half-26*s6; Fill Htab6(0,1,-1,0,1,1)=3/16*z2*z3*ln2-1/6*z2*ln2^4-4*z2*li4half+ z2^2*ln2^2+69/56*z2^3-1/16*z3^2-7/2*s6; Fill Htab6(0,1,-1,0,1,0)=9/4*z2*z3*ln2+1/6*z2*ln2^4+4*z2*li4half- z2^2*ln2^2-439/210*z2^3+5/2*z3^2; Fill Htab6(0,1,-1,0,0,-1)=9/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2+181/280*z2^3-3*z3^2-155/16*z5*ln2+6*s6; Fill Htab6(0,1,-1,0,0,1)=-9/8*z2*z3*ln2+1/6*z2*ln2^4+4*z2*li4half- z2^2*ln2^2-159/280*z2^3-2*z3^2+5*s6; Fill Htab6(0,1,-1,0,0,0)=1/3*z2^3+3/4*z3^2-4*s6; Fill Htab6(0,1,1,-1,-1,-1)=3/2*z2*z3*ln2-1/24*z2*ln2^4+z2*li4half+3/ 5*z2^2*ln2^2+243/280*z2^3+7/48*z3*ln2^3+153/128*z3^2-31/64*z5*ln2 -ln2*li5half+3/2*ln2^2*li4half+7/120*ln2^6-9*li6half-9/2*s6; Fill Htab6(0,1,1,-1,-1,1)=-3/16*z2*z3*ln2+7/48*z2*ln2^4+3/2*z2*li4half -5/4*z2^2*ln2^2-13/10*z2^3-7/48*z3*ln2^3-59/32*z3^2-3/2*ln2^2* li4half-37/720*ln2^6+8*li6half+11/2*s6; Fill Htab6(0,1,1,-1,-1,0)=-7/16*z2*z3*ln2-5/16*z2*ln2^4-7/2*z2*li4half -21/80*z2^2*ln2^2-39/280*z2^3-73/128*z3^2+1/90*ln2^6+8*li6half+ 5/4*s6; Fill Htab6(0,1,1,-1,1,-1)=-31/8*z2*z3*ln2-11/48*z2*ln2^4-3/2*z2*li4half +13/10*z2^2*ln2^2+3/40*z2^3-7/48*z3*ln2^3+113/64*z3^2+279/64*z5* ln2+3*ln2*li5half-19/720*ln2^6-li6half-3/2*s6; Fill Htab6(0,1,1,-1,1,1)=-7/16*z2*z3*ln2-1/12*z2*ln2^4-6*z2*li4half+1/ 8*z2^2*ln2^2+7/48*z3*ln2^3+49/128*z3^2+1/72*ln2^6+10*li6half; Fill Htab6(0,1,1,-1,1,0)=7/16*z2*z3*ln2+3/8*z2*ln2^4+3*z2*li4half+39/ 80*z2^2*ln2^2+53/280*z2^3+93/32*z3^2-1/60*ln2^6-12*li6half-13/4* s6; Fill Htab6(0,1,1,-1,0,-1)=35/8*z2*z3*ln2+1/16*z2*ln2^4+11/2*z2*li4half +13/40*z2^2*ln2^2+3173/1680*z2^3+117/64*z3^2+155/64*z5*ln2-8*ln2* li5half+1/30*ln2^6-24*li6half-9*s6; Fill Htab6(0,1,1,-1,0,1)=7/8*z2*z3*ln2+7/24*z2*ln2^4+7*z2*li4half-25/ 16*z2^2*ln2^2-1243/840*z2^3-327/128*z3^2+21/4*s6; Fill Htab6(0,1,1,-1,0,0)=-1/12*z2*ln2^4-2*z2*li4half+13/8*z2^2*ln2^2+ 71/105*z2^3+1/64*z3^2-5/2*s6; Fill Htab6(0,1,1,1,-1,-1)=3/2*z2*z3*ln2+3/16*z2*ln2^4+1/2*z2*li4half +1/16*z2^2*ln2^2+103/140*z2^3+7/32*z3^2-31/32*z5*ln2-3*ln2* li5half-1/2*ln2^2*li4half-1/360*ln2^6-5*li6half-7/4*s6; Fill Htab6(0,1,1,1,-1,1)=-5/48*z2*ln2^4+7/2*z2*li4half-3/16*z2^2*ln2^2 +12/35*z2^3-31/32*z3^2+1/2*ln2^2*li4half+1/80*ln2^6-6*li6half+1/ 4*s6; Fill Htab6(0,1,1,1,-1,0)=-3/16*z2*ln2^4-5/2*z2*li4half-3/80*z2^2*ln2^2 -1/140*z2^3+7/32*z3^2+1/180*ln2^6+4*li6half-3/4*s6; Fill Htab6(0,1,1,1,1,-1)=1/24*z2*ln2^4-z2*li4half+9/40*z2^2*ln2^2-2/ 5*z2^3+1/4*z3^2+ln2*li5half-1/240*ln2^6+3*li6half+1/2*s6; Fill Htab6(0,1,1,1,1,1)=8/35*z2^3; Fill Htab6(0,1,1,1,1,0)=-2/5*z2^3+1/2*z3^2; Fill Htab6(0,1,1,1,0,-1)=21/16*z2*z3*ln2+1/16*z2*ln2^4+3/2*z2*li4half -3/8*z2^2*ln2^2+7/24*z2^3-27/16*z3^2-155/32*z5*ln2+5/2*s6; Fill Htab6(0,1,1,1,0,1)=10/21*z2^3-z3^2; Fill Htab6(0,1,1,1,0,0)=89/210*z2^3-1/2*z3^2; Fill Htab6(0,1,1,0,-1,-1)=-103/560*z2^3+51/128*z3^2+93/64*z5*ln2-3/4* s6; Fill Htab6(0,1,1,0,-1,1)=-21/16*z2*z3*ln2-1/6*z2*ln2^4-4*z2*li4half+ z2^2*ln2^2+387/560*z2^3+327/128*z3^2-11/4*s6; Fill Htab6(0,1,1,0,-1,0)=-71/1680*z2^3-25/32*z3^2; Fill Htab6(0,1,1,0,1,-1)=-21/8*z2*z3*ln2-1/48*z2*ln2^4-1/2*z2*li4half +1/8*z2^2*ln2^2-83/280*z2^3+3/4*z3^2+465/64*z5*ln2-s6; Fill Htab6(0,1,1,0,1,1)=-4/35*z2^3+1/2*z3^2; Fill Htab6(0,1,1,0,1,0)=-143/210*z2^3+z3^2; Fill Htab6(0,1,1,0,0,-1)=21/8*z2*z3*ln2+1/8*z2*ln2^4+3*z2*li4half-3/ 4*z2^2*ln2^2-45/56*z2^3-1/2*z3^2-31/16*z5*ln2+s6; Fill Htab6(0,1,1,0,0,1)=-13/70*z2^3+z3^2; Fill Htab6(0,1,1,0,0,0)=-2/105*z2^3-z3^2; Fill Htab6(0,1,0,-1,-1,-1)=-21/16*z2*z3*ln2+3/16*z2*ln2^4-3/2*z2* li4half+3/8*z2^2*ln2^2+1907/1680*z2^3-7/12*z3*ln2^3+109/128*z3^2+ 31/16*z5*ln2-4*ln2*li5half-2*ln2^2*li4half-1/18*ln2^6-4*li6half- s6; Fill Htab6(0,1,0,-1,-1,1)=-15/16*z2*z3*ln2-1/3*z2*ln2^4+83/80*z2^2* ln2^2+109/105*z2^3+7/12*z3*ln2^3+217/128*z3^2+2*ln2^2*li4half+13/ 180*ln2^6-8*li6half-15/4*s6; Fill Htab6(0,1,0,-1,-1,0)=7/4*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2-67/120*z2^3-13/16*z3^2; Fill Htab6(0,1,0,-1,1,-1)=25/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half- 103/40*z2^2*ln2^2-239/105*z2^3+7/12*z3*ln2^3-73/16*z3^2-403/64*z5* ln2+4*ln2*li5half-1/90*ln2^6+16*li6half+9*s6; Fill Htab6(0,1,0,-1,1,1)=7/4*z2*z3*ln2+1/3*z2*ln2^4+6*z2*li4half-37/ 80*z2^2*ln2^2-629/840*z2^3-7/12*z3*ln2^3-3/2*z3^2-1/180*ln2^6-4* li6half+3/4*s6; Fill Htab6(0,1,0,-1,1,0)=-7/4*z2*z3*ln2-1/6*z2*ln2^4-4*z2*li4half+ z2^2*ln2^2+479/420*z2^3-1/2*z3^2; Fill Htab6(0,1,0,-1,0,-1)=-7*z2*z3*ln2-1/3*z2*ln2^4-8*z2*li4half+2* z2^2*ln2^2+341/140*z2^3+35/16*z3^2; Fill Htab6(0,1,0,-1,0,1)=-7/2*z2*z3*ln2-1/6*z2*ln2^4-4*z2*li4half+ z2^2*ln2^2+43/35*z2^3+35/32*z3^2; Fill Htab6(0,1,0,-1,0,0)=41/70*z2^3+3/16*z3^2; Fill Htab6(0,1,0,1,-1,-1)=-63/16*z2*z3*ln2-1/3*z2*ln2^4-4*z2*li4half+ 163/80*z2^2*ln2^2+109/168*z2^3+145/64*z3^2+31/32*z5*ln2+4*ln2* li5half+2*ln2^2*li4half+1/20*ln2^6-5/2*s6; Fill Htab6(0,1,0,1,-1,1)=-3/8*z2*z3*ln2+1/6*z2*ln2^4-2*z2*li4half-63/ 40*z2^2*ln2^2-1573/1680*z2^3-125/64*z3^2-2*ln2^2*li4half-1/15*ln2^6 +12*li6half+23/4*s6; Fill Htab6(0,1,0,1,-1,0)=1/12*z2*ln2^4+2*z2*li4half-1/2*z2^2*ln2^2- 139/240*z2^3+13/16*z3^2; Fill Htab6(0,1,0,1,1,-1)=69/16*z2*z3*ln2+1/48*z2*ln2^4+5/2*z2*li4half +33/80*z2^2*ln2^2+569/420*z2^3+5/32*z3^2-279/64*z5*ln2-4*ln2* li5half+1/60*ln2^6-12*li6half-17/4*s6; Fill Htab6(0,1,0,1,1,1)=-32/105*z2^3+z3^2; Fill Htab6(0,1,0,1,1,0)=37/42*z2^3-3*z3^2; Fill Htab6(0,1,0,1,0,-1)=-21/4*z2*z3*ln2-1/4*z2*ln2^4-6*z2*li4half+3/ 2*z2^2*ln2^2+77/80*z2^3+13/4*z3^2+31/4*z5*ln2-4*s6; Fill Htab6(0,1,0,1,0,1)=3/70*z2^3; Fill Htab6(0,1,0,1,0,0)=2/35*z2^3+2*z3^2; Fill Htab6(0,1,0,0,-1,-1)=21/8*z2*z3*ln2+1/8*z2*ln2^4+3*z2*li4half-3/ 4*z2^2*ln2^2-34/105*z2^3-121/64*z3^2-155/32*z5*ln2+5/2*s6; Fill Htab6(0,1,0,0,-1,1)=15/8*z2*z3*ln2+11/840*z2^3-5/64*z3^2-5/2*s6 ; Fill Htab6(0,1,0,0,-1,0)=-159/280*z2^3+3/16*z3^2; Fill Htab6(0,1,0,0,1,-1)=-15/8*z2*z3*ln2-61/336*z2^3+1/4*z3^2+93/32* z5*ln2+s6; Fill Htab6(0,1,0,0,1,1)=53/105*z2^3-3/2*z3^2; Fill Htab6(0,1,0,0,1,0)=-6/5*z2^3+2*z3^2; Fill Htab6(0,1,0,0,0,-1)=1037/840*z2^3-9/4*z3^2-31/4*z5*ln2+4*s6; Fill Htab6(0,1,0,0,0,1)=10/21*z2^3-z3^2; Fill Htab6(0,1,0,0,0,0)=8/7*z2^3; Fill Htab6(0,0,-1,-1,-1,-1)=-1/8*z2*ln2^4-19/35*z2^3+7/24*z3*ln2^3+1/ 8*z3^2+31/32*z5*ln2+2*ln2*li5half+ln2^2*li4half+1/36*ln2^6+2* li6half-1/2*s6; Fill Htab6(0,0,-1,-1,-1,1)=3/2*z2*z3*ln2+5/24*z2*ln2^4+2*z2*li4half- 39/40*z2^2*ln2^2-319/280*z2^3-7/24*z3*ln2^3-69/32*z3^2-ln2^2* li4half-1/30*ln2^6+6*li6half+3*s6; Fill Htab6(0,0,-1,-1,-1,0)=-7/8*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+1/ 4*z2^2*ln2^2-13/840*z2^3+79/64*z3^2; Fill Htab6(0,0,-1,-1,1,-1)=11/16*z2*z3*ln2+11/48*z2*ln2^4+1/2*z2* li4half+17/80*z2^2*ln2^2-41/280*z2^3-7/24*z3*ln2^3+59/64*z3^2-155/ 64*z5*ln2+2*ln2*li5half-7/360*ln2^6-2*li6half-1/4*s6; Fill Htab6(0,0,-1,-1,1,1)=-7/8*z2*z3*ln2-5/24*z2*ln2^4-2*z2*li4half-1/ 40*z2^2*ln2^2-13/35*z2^3+7/24*z3*ln2^3+1/32*z3^2+1/120*ln2^6+6* li6half+3/2*s6; Fill Htab6(0,0,-1,-1,1,0)=7/8*z2*z3*ln2-9/8*z2^2*ln2^2-11/210*z2^3- 45/64*z3^2+3/2*s6; Fill Htab6(0,0,-1,-1,0,-1)=7/8*z2*z3*ln2+1/24*z2*ln2^4+z2*li4half-1/ 4*z2^2*ln2^2-139/840*z2^3-31/32*z3^2+31/16*z5*ln2-s6; Fill Htab6(0,0,-1,-1,0,1)=7/4*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2-85/168*z2^3-27/32*z3^2; Fill Htab6(0,0,-1,-1,0,0)=9/32*z3^2; Fill Htab6(0,0,-1,1,-1,-1)=-17/48*z2*ln2^4-3/2*z2*li4half+9/8*z2^2* ln2^2+1091/560*z2^3-17/64*z3^2-279/64*z5*ln2-2*ln2*li5half+ln2^2* li4half+1/20*ln2^6-6*li6half-7/4*s6; Fill Htab6(0,0,-1,1,-1,1)=-3/2*z2*z3*ln2+1/3*z2*ln2^4+z2*li4half-21/ 40*z2^2*ln2^2+67/560*z2^3+3/16*z3^2-ln2^2*li4half-2/45*ln2^6-2* li6half+9/4*s6; Fill Htab6(0,0,-1,1,-1,0)=-1/24*z2*ln2^4-z2*li4half+5/2*z2^2*ln2^2+77/ 240*z2^3+3/4*z3^2-5*s6; Fill Htab6(0,0,-1,1,1,-1)=-39/16*z2*z3*ln2-1/12*z2*ln2^4-z2*li4half+ 39/80*z2^2*ln2^2+311/560*z2^3+77/32*z3^2+31/4*z5*ln2-2*ln2*li5half +1/120*ln2^6-6*li6half-17/4*s6; Fill Htab6(0,0,-1,1,1,1)=-1/6*z2*ln2^4-3*z2*li4half+7/10*z2^2*ln2^2+ 107/140*z2^3-1/2*z3^2+1/360*ln2^6+2*li6half-2*s6; Fill Htab6(0,0,-1,1,1,0)=-9/8*z2^2*ln2^2-10/21*z2^3+47/64*z3^2+5/2*s6 ; Fill Htab6(0,0,-1,1,0,-1)=-1/24*z2*ln2^4-z2*li4half+1/4*z2^2*ln2^2+ 2627/1680*z2^3-75/32*z3^2-155/16*z5*ln2+4*s6; Fill Htab6(0,0,-1,1,0,1)=1/4*z2*ln2^4+6*z2*li4half-3/2*z2^2*ln2^2- 163/120*z2^3-47/32*z3^2+5*s6; Fill Htab6(0,0,-1,1,0,0)=111/140*z2^3+63/32*z3^2-6*s6; Fill Htab6(0,0,-1,0,-1,-1)=-13/12*z2^3+151/64*z3^2+217/32*z5*ln2-7/2* s6; Fill Htab6(0,0,-1,0,-1,1)=15/8*z2*z3*ln2+1/6*z2*ln2^4+4*z2*li4half- z2^2*ln2^2-337/420*z2^3-117/64*z3^2+3/2*s6; Fill Htab6(0,0,-1,0,-1,0)=-5/8*z2^3+27/16*z3^2; Fill Htab6(0,0,-1,0,1,-1)=27/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half- 1/2*z2^2*ln2^2-853/1680*z2^3-21/32*z3^2-155/32*z5*ln2+s6; Fill Htab6(0,0,-1,0,1,1)=-403/840*z2^3+95/64*z3^2; Fill Htab6(0,0,-1,0,1,0)=13/28*z2^3-27/16*z3^2; Fill Htab6(0,0,-1,0,0,-1)=-377/280*z2^3+81/32*z3^2+93/8*z5*ln2-6*s6; Fill Htab6(0,0,-1,0,0,1)=4/35*z2^3-9/32*z3^2; Fill Htab6(0,0,-1,0,0,0)=-31/14*z2^3; Fill Htab6(0,0,1,-1,-1,-1)=7/48*z2*ln2^4+3/2*z2*li4half-79/80*z2^2* ln2^2-279/280*z2^3+7/24*z3*ln2^3+101/128*z3^2+31/4*z5*ln2-2*ln2* li5half-ln2^2*li4half-1/40*ln2^6-3/2*s6; Fill Htab6(0,0,1,-1,-1,1)=39/16*z2*z3*ln2-1/24*z2*ln2^4+z2*li4half+ 67/80*z2^2*ln2^2+51/80*z2^3-7/24*z3*ln2^3+109/128*z3^2+ln2^2* li4half+11/360*ln2^6-8*li6half-11/2*s6; Fill Htab6(0,0,1,-1,-1,0)=-7/8*z2*z3*ln2+1/24*z2*ln2^4+z2*li4half-11/ 8*z2^2*ln2^2-571/1680*z2^3+5/64*z3^2+7/2*s6; Fill Htab6(0,0,1,-1,1,-1)=19/8*z2*z3*ln2-1/6*z2*ln2^4+11/40*z2^2*ln2^2 +111/280*z2^3-7/24*z3*ln2^3-15/16*z3^2-279/64*z5*ln2-2*ln2* li5half+1/60*ln2^6; Fill Htab6(0,0,1,-1,1,1)=-7/8*z2*z3*ln2+5/24*z2*ln2^4+3*z2*li4half-67/ 80*z2^2*ln2^2-199/280*z2^3+7/24*z3*ln2^3+111/64*z3^2-1/180*ln2^6- 4*li6half+9/4*s6; Fill Htab6(0,0,1,-1,1,0)=7/8*z2*z3*ln2+9/4*z2^2*ln2^2+55/168*z2^3-1/ 2*z3^2-5*s6; Fill Htab6(0,0,1,-1,0,-1)=7/8*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2-353/210*z2^3+49/32*z3^2+155/16*z5*ln2-4*s6; Fill Htab6(0,0,1,-1,0,1)=7/4*z2*z3*ln2-1/6*z2*ln2^4-4*z2*li4half+ z2^2*ln2^2+839/840*z2^3+13/64*z3^2-5*s6; Fill Htab6(0,0,1,-1,0,0)=-111/140*z2^3-39/32*z3^2+6*s6; Fill Htab6(0,0,1,1,-1,-1)=7/24*z2*ln2^4+z2*li4half-21/20*z2^2*ln2^2- 31/28*z2^3-251/128*z3^2-155/64*z5*ln2+2*ln2*li5half-ln2^2*li4half -17/360*ln2^6+8*li6half+11/2*s6; Fill Htab6(0,0,1,1,-1,1)=3/16*z2*z3*ln2-1/3*z2*ln2^4-2*z2*li4half+33/ 40*z2^2*ln2^2+43/56*z2^3-61/128*z3^2+ln2^2*li4half+1/24*ln2^6-5/2 *s6; Fill Htab6(0,0,1,1,-1,0)=1/24*z2*ln2^4+z2*li4half-11/8*z2^2*ln2^2- 307/840*z2^3-1/32*z3^2+5/2*s6; Fill Htab6(0,0,1,1,1,-1)=-3/2*z2*z3*ln2+1/16*z2*ln2^4-1/2*z2*li4half- 1/16*z2^2*ln2^2-47/70*z2^3+9/32*z3^2+31/32*z5*ln2+2*ln2*li5half-1/ 90*ln2^6+4*li6half+7/4*s6; Fill Htab6(0,0,1,1,1,1)=6/35*z2^3-1/2*z3^2; Fill Htab6(0,0,1,1,1,0)=-11/21*z2^3+3/2*z3^2; Fill Htab6(0,0,1,1,0,-1)=577/1680*z2^3-47/64*z3^2-31/16*z5*ln2+s6; Fill Htab6(0,0,1,1,0,1)=53/105*z2^3-3/2*z3^2; Fill Htab6(0,0,1,1,0,0)=1/2*z3^2; Fill Htab6(0,0,1,0,-1,-1)=-1033/1680*z2^3+77/64*z3^2+155/32*z5*ln2-5/ 2*s6; Fill Htab6(0,0,1,0,-1,1)=3/4*z2*z3*ln2+1/6*z2*ln2^4+4*z2*li4half- z2^2*ln2^2-503/420*z2^3-7/32*z3^2+5/2*s6; Fill Htab6(0,0,1,0,-1,0)=-1/56*z2^3-3/8*z3^2; Fill Htab6(0,0,1,0,1,-1)=9/2*z2*z3*ln2+1/12*z2*ln2^4+2*z2*li4half-1/ 2*z2^2*ln2^2-17/1680*z2^3-73/32*z3^2-217/32*z5*ln2+s6; Fill Htab6(0,0,1,0,1,1)=-29/30*z2^3+3*z3^2; Fill Htab6(0,0,1,0,1,0)=8/7*z2^3-4*z3^2; Fill Htab6(0,0,1,0,0,-1)=-439/280*z2^3+105/32*z3^2+93/8*z5*ln2-6*s6; Fill Htab6(0,0,1,0,0,1)=-4/35*z2^3+1/2*z3^2; Fill Htab6(0,0,1,0,0,0)=-16/7*z2^3; Fill Htab6(0,0,0,-1,-1,-1)=59/140*z2^3-7/8*z3^2-93/32*z5*ln2+3/2*s6; Fill Htab6(0,0,0,-1,-1,1)=-3/2*z2*z3*ln2-1/12*z2*ln2^4-2*z2*li4half+7/ 8*z2^2*ln2^2+127/280*z2^3+9/8*z3^2-s6; Fill Htab6(0,0,0,-1,-1,0)=5/24*z2^3-3/4*z3^2; Fill Htab6(0,0,0,-1,1,-1)=-9/8*z2*z3*ln2-3/4*z2^2*ln2^2-257/560*z2^3+ 3/4*z3^2+155/32*z5*ln2; Fill Htab6(0,0,0,-1,1,1)=-1/12*z2*ln2^4-2*z2*li4half+7/8*z2^2*ln2^2+ 27/35*z2^3-1/4*z3^2-5/2*s6; Fill Htab6(0,0,0,-1,1,0)=-41/60*z2^3-3/4*z3^2+4*s6; Fill Htab6(0,0,0,-1,0,-1)=929/840*z2^3-9/4*z3^2-31/4*z5*ln2+4*s6; Fill Htab6(0,0,0,-1,0,1)=-97/420*z2^3+3/4*z3^2; Fill Htab6(0,0,0,-1,0,0)=31/14*z2^3; Fill Htab6(0,0,0,1,-1,-1)=-1/24*z2*ln2^4-z2*li4half+5/8*z2^2*ln2^2+ 123/140*z2^3-15/16*z3^2-155/32*z5*ln2+s6; Fill Htab6(0,0,0,1,-1,1)=-9/8*z2*z3*ln2-3/4*z2^2*ln2^2-3/70*z2^3+11/ 64*z3^2+5/2*s6; Fill Htab6(0,0,0,1,-1,0)=449/840*z2^3+15/16*z3^2-4*s6; Fill Htab6(0,0,0,1,1,-1)=-3/2*z2*z3*ln2-1/24*z2*ln2^4-z2*li4half+5/8* z2^2*ln2^2+3/280*z2^3+65/64*z3^2+93/32*z5*ln2-3/2*s6; Fill Htab6(0,0,0,1,1,1)=23/70*z2^3-z3^2; Fill Htab6(0,0,0,1,1,0)=-8/21*z2^3+z3^2; Fill Htab6(0,0,0,1,0,-1)=883/840*z2^3-33/16*z3^2-31/4*z5*ln2+4*s6; Fill Htab6(0,0,0,1,0,1)=-32/105*z2^3+z3^2; Fill Htab6(0,0,0,1,0,0)=16/7*z2^3; Fill Htab6(0,0,0,0,-1,-1)=-23/70*z2^3+3/4*z3^2+31/16*z5*ln2-s6; Fill Htab6(0,0,0,0,-1,1)=8/35*z2^3-s6; Fill Htab6(0,0,0,0,-1,0)=-31/28*z2^3; Fill Htab6(0,0,0,0,1,-1)=-111/280*z2^3+9/32*z3^2+31/16*z5*ln2; Fill Htab6(0,0,0,0,1,1)=6/35*z2^3-1/2*z3^2; Fill Htab6(0,0,0,0,1,0)=-8/7*z2^3; Fill Htab6(0,0,0,0,0,-1)=31/140*z2^3; Fill Htab6(0,0,0,0,0,1)=8/35*z2^3; Fill Htab6(0,0,0,0,0,0)=0; #endif * #endprocedure *--#] htable6 : *--#[ htables : #procedure htables(size) * * Tables of harmonic polylogarithms at one. * Note that the definition of these objects is slightly different from * what are called Euler/Zagier sums. * Notation for the tables: * A zero index means that one should be added to the absolute value * of the next index. The argument is inf (infinity). * Example: Htab6(0,-1,0,0,1,1) = H(R(-2,3,1),1) * The various weights are in separate files. * This makes that FORM will not even touch the htable7.prc file if * size < 7. That saves much time. * File by J. Vermaseren, 21-jul-1998 * #do itabs = 1,`size' #ifndef `HTABLE`itabs'FILL' #call htable`itabs' #endif #enddo #endprocedure * *--#] htables : *--#[ htolog : #procedure htolog(H,x) * * Procedure to expand H_{m,0_K}(`x') into powers of ln_ and H * functions without trailing zeroes * Algorithm: * 1: determine maximum number of powers of ln * 2: write the sum in terms of ln^k(`x') * 3: determine number of excess weights to be distributed over * the other indeces. * 4: determine all possible distributions * 5: Add the excess weights and the combinatorics * 6: Clean up * * Routine by J.Vermaseren, 13-jul-1998 * id ln_(n1?,`x') = ln(n1,`x'); repeat; id,once,`H'(R(?a,0),`x') = Hac(R(?a,0),`x')*ln_(0,`x'); repeat id Hac(R(?a,0),`x')*ln_(nn?,`x') = Hac(R(?a),`x')*ln_(nn+1,`x'); id Hac(R(?a),`x')*ln_(nn?,`x') = sum_(k,0,nn,sign_(nn-k)*invfac_(k)* Hac(R(?a),`x')*ln_(k,`x')*div(nn-k,nargs_(?a)))*addarg; repeat id addarg(?a)*div(n1?,n2?pos_) = sum_(k,0,n1,addarg(?a,k)*div(n1-k,n2-1)); id div(0,0) = 1; id div(?a) = 0; id Hac(R(?a),`x') = Hac(R(?a),`x')*HS(R,`x'); repeat id Hac(R(?a,n1?),`x')*HS(R(?b),`x')*addarg(?c,n2?) = Hac(R(?a),`x')*HS(R(n1+sig_(n1)*n2,?b),`x') *binom_(abs_(n1)-1+n2,abs_(n1)-1)*addarg(?c); id Hac(R,`x') = 1; id addarg = 1; id HS(?a) = `H'(?a); id ln_(0,`x') = 1; id ln_(n?pos_,1) = 0; id ln_(n?pos_,`x') = ln(n,`x'); repeat id ln(n1?,`x')*ln(n2?,`x') = ln(n1+n2,`x'); endrepeat; id ln(n1?,`x') = ln_(n1,`x'); * #endprocedure *--#] htolog : *--#[ htos : #procedure htos(H,S,x) * * Converts H(R(..),`x') to sum(i,1,inf)*pow(`x',i)*S(R(..),i) * J.Vermaseren 10-jul-1998 * repeat id `H'(R(?a,0,n?!{0,0},?b),`x') = `H'(R(?a,n+sig_(n),?b),`x'); id,once,`H'(R(?a),`x') = SS(RR(?a),RR)*RR(?a); repeat id RR(?a,n1?) = RR(?a)*sig_(n1); id RR = 1; repeat id SS(RR(?a,n1?,n2?),RR(?b)) = SS(RR(?a,n1),RR(n2*sig_(n1),?b)); id SS(RR(n1?),RR(?b)) = SS(RR,RR(n1,?b)); repeat id SS(RR(?a),RR(?b,n1?,n2?)) = SS(RR(n2,?a),RR(?b,n1)) -SS(RR(?a),RR(?b,sig_(n2)*n1+sig_(n1)*n2)); id,SS(RR(?a),RR(?b)) = [1-`x']*sum(i,1,inf)*`S'(R(?b,?a),i)*pow(`x',i); #endprocedure *--#] htos : *--#[ htoz : #procedure htoz(H,Z,x,par) * * Converts H(R(..),`x') to sum(i,1,inf)*pow(`x',i)*Z(R(..),i) * J.Vermaseren 10-jul-1998 * if ( match(`H'(R(?a,0),`x')) ); #call hlog0(`H',`x',1) endif; repeat id `H'(R(?a,0,n?!{0,0},?b),`x') = `H'(R(?a,n+sig_(n),?b),`x'); id,once,`H'(R(?a),`x') = SS(RR(?a),RR)*RR(?a); repeat id RR(?a,n1?) = RR(?a)*sig_(n1); id RR = 1; repeat id SS(RR(?a,n1?,n2?),RR(?b)) = SS(RR(?a,n1),RR(n2*sig_(n1),?b)); #if `par' > 0 id,SS(RR(n1?),RR(?b)) = [1-`x']*sum(i,1,inf)*`Z'(R(n1,?b),i)*pow(`x',i); #else id,SS(RR(n1?),RR(?b)) = sum(i,1,inf)*`Z'(R(?b),i-1)*pow(`x',i)*den(abs_(n1),i) *sign(i)^theta_(-n1); id `Z'(R,i?) = 1; #endif #endprocedure *--#] htoz : *--#[ inftoh : #procedure inftoh(S,H) * * Routine determines the H functions in 1 that come with S(R(..),inf) * J.Vermaseren 21-jul-1998 * id `S'(R(n1?,?a),inf) = SS(RR(n1,?a),RR(?a),RR(sig_(n1)),1); repeat id SS(RR(?a),RR(n1?,?b),RR(?c,n2?),1) = SS(RR(?a),RR(?b),RR(?c,n2,n2*sig_(n1)),1); repeat id SS(RR(?a,n1?),RR(?b),RR(?c,n2?),1) = SS(RR(?a),RR(abs_(n1)*n2,?b),RR(?c),1); id SS(RR,RR(?a),RR,1) = SS(RR(?a),RR,1); repeat id SS(RR(?a,n2?,n1?),RR(?b),1) = SS(RR(?a,n2),RR(n1,?b),1)+SS(RR(?a,abs_(n2)*sig_(n1)+n1),RR(?b),1); id SS(RR(n1?),RR(?b),1) = SS(RR,RR(n1,?b),1); repeat id SS(RR(?a),RR(n1?,?b),1) = SS(RR(?a,n1),RR(?b),1)*sig_(n1); id SS(RR(?a),RR,1) = `H'(R(?a),1); #endprocedure *--#] inftoh : *--#[ inftoone : #procedure inftoone(S,H) * * Converts S(R(..),inf) into H(R(..),1) * J.Vermaseren, 27-jul-1998 * id `S'(R(n1?,?a),inf) = Saa(RR(n1,?a),RR(?a),RR(sig_(n1))); repeat id Saa(RR(?a),RR(n1?,?b),RR(?c,n2?)) = Saa(RR(?a),RR(?b),RR(?c,n2,n2*sig_(n1))); repeat id Saa(RR(?a,n1?),RR(?b),RR(?c,n2?)) = Saa(RR(?a),RR(abs_(n1)*n2,?b),RR(?c)); id Saa(RR,RR(?a),RR) = Saa(RR(?a),RR); repeat id Saa(RR(?a,n2?,n1?),RR(?b)) = Saa(RR(?a,n2),RR(n1,?b))+Saa(RR(?a,abs_(n2)*sig_(n1)+n1),RR(?b)); id Saa(RR(n1?),RR(?b)) = Saa(RR,RR(n1,?b)); repeat id Saa(RR(?a),RR(n1?,?b)) = Saa(RR(?a,n1),RR(?b))*sig_(n1); id Saa(RR(?a),RR) = `H'(R(?a),1); * #endprocedure *--#] inftoone : *--#[ invmel : #procedure invmel(S,N,Ha,x) * * Uses the hmellin routine and an algorithm to find the leading term * to construct the inverse mellin transform of S in N. * Output is function Ha in x. * * J. Vermaseren, 4-nov-1999 * #do i=1,1 #$mw = -1; repeat id `S'(R(?a,n1?!{-1,0,1},?b),`N') = `S'(R(?a,0,n1-sig_(n1),?b),`N'); id `S'(R(?a),`N') = `S'(R(?a),`N')*x2^nargs_(?a); if ( count(x2,1) > $mw ) $mw = count_(x2,1); repeat id `S'(R(?a,0,n?!{0,0},?b),`N') = `S'(R(?a,n+sig_(n),?b),`N'); .sort if ( count(x2,1) == `$mw' ); id x2^n? = x2; else; id x2 = 1; endif; if ( count(x2,1) ); id x2 = 1; id `S'(R(?a),`N') = `S'(R(?a),`N')+SHS(R,R(?a),`N'); repeat id SHS(R,R(?a,n1?!{-1,0,1},?b),`N') = SHS(R,R(?a,0,n1-sig_(n1),?b),`N'); repeat; id SHS(R(?a),R(n1?neg_,?b),`N') = SHS(R(?a,n1),R(?b),`N')*x1; id SHS(R(?a),R(n1?pos0_,?b),`N') = SHS(R(?a,n1),R(?b),`N'); endrepeat; id x1^2 = 1; if ( count(x1,1) == 1 ); id x1 = sign_(`N')/[1+x]; id sign_(`N')*sign_(`N') = 1; id SHS(R(?a,n1?),R,`N') = SHS(R(?a),R,`N',n1,-1); repeat; id SHS(R(1,?a),R(?b),`N',n2?,n3?) = SHS(R(?a),R(?b,n3),`N',n2,n3); id SHS(R(-1,?a),R(?b),`N',n2?,n3?) = SHS(R(?a),R(?b,-n3),`N',n2,-n3); id SHS(R(0,?a),R(?b),`N',n2?,n3?) = SHS(R(?a),R(?b,0),`N',n2,n3); endrepeat; id SHS(?a,n1?,n2?) = SHS(?a); repeat; id SHS(R(?a),R(1,?b),`N') = SHS(R(?a,1),R(?b),`N'); id SHS(R(?a),R(n?neg0_,?b),`N') = -SHS(R(?a,n),R(?b),`N'); endrepeat; elseif ( count(SHS,1) ); Multiply 1/[1-x]; id SHS(R(?a,n1?),R,`N') = SHS(R(?a),R,`N',n1,1); repeat; id SHS(R(1,?a),R(?b),`N',n2?,n3?) = SHS(R(?a),R(?b,n3),`N',n2,n3); id SHS(R(-1,?a),R(?b),`N',n2?,n3?) = SHS(R(?a),R(?b,-n3),`N',n2,-n3); id SHS(R(0,?a),R(?b),`N',n2?,n3?) = SHS(R(?a),R(?b,0),`N',n2,n3); endrepeat; id SHS(?a,n1?,n2?) = -SHS(?a); repeat; id SHS(R(?a),R(1,?b),`N') = SHS(R(?a,1),R(?b),`N'); id SHS(R(?a),R(n?neg0_,?b),`N') = -SHS(R(?a,n),R(?b),`N'); endrepeat; endif; id SHS(R(?a),R,`N') = -Mel*Hb(R(?a),`x')+`Ha'(R(?a),`x'); repeat id Hb(R(?a,0,n?!{0,0},?b),`x') = Hb(R(?a,n+sig_(n),?b),`x'); repeat id `Ha'(R(?a,0,n?!{0,0},?b),`x') = `Ha'(R(?a,n+sig_(n),?b),`x'); endif; id Even(`N')*sign_(`N') = Even(`N'); id Odd(`N')*sign_(`N') = -Odd(`N'); .sort:Determine H; #call hmellin(Hb,`x',`S',`N') id Even(`N')*sign_(`N') = Even(`N'); id Odd(`N')*sign_(`N') = -Odd(`N'); .sort #$ii = 0; if ( match(`S'(R(?a),`N')) ) $ii = 1; .sort #if `$ii' == 1 #redefine i "0" #endif #enddo id `Ha'(R,`x') = 1; .sort:Preliminary; id Hb(x?,1) = Hb(x,one); #call hbasis(Hb,one) id Hb(x?,one) = `Ha'(x,1); .sort #ifndef `SKIPVALUES' Repeat id `Ha'(R(?a,n1?!{0,1,-1},?b),1) = `Ha'(R(?a,0,n1-sig_(n1),?b),1); #$wcount = 0; id `Ha'(R(?a),1) = `Ha'(R(?a),1)*`Ha'(nargs_(?a)); id `Ha'(n?$n) = 1; if ( $n > $wcount ) $wcount = $n; .sort #if ( `$wcount' > 8 ) #$wcount = 8; #endif #call htables(`$wcount') #do k = 1,`$wcount' id `Ha'(R(n1?,...,n`k'?),1) = Htab`k'(n1,...,n`k'); id HL(R(n1?,...,n`k'?),1) = Htab`k'(n1,...,n`k'); #enddo #endif AB Even,Odd; .sort Collect,acc; Normalize acc; id acc(Even(`N')+Odd(`N')) = 1; id acc(Even(`N')-Odd(`N')) = sign_(`N'); id acc(x?number_) = x; #endprocedure *--#] invmel : *--#[ invmellin : #procedure invmellin(S,N,Ha,x) * * Now find the most complicated weight and depth. * id `S'(R(?a),`N') = `S'(R(?a),`N')*x2^nargs_(?a); repeat id `S'(R(?a,n?!{-1,0,1},?b),`N') = `S'(R(?a,0,n-sig_(n),?b),`N'); id `S'(R(?a),`N') = `S'(R(?a),`N')*x1^nargs_(?a); repeat id `S'(R(?a,0,n?!{0,0},?b),`N') = `S'(R(?a,n+sig_(n),?b),`N'); #$w = 0; #$d = 0; id x1^n1?$ww*x2^n2?$dd = x1^n1*x2^n2; if ( $ww > $w ); $w = $ww; $d = $dd; elseif ( $ww == $w ); if ( $dd > $d ) $d = $dd; endif; .sort id x1^`$w'*x2^`$d' = x3*x4^`$w'*x5^`$d'; id x1 = 1; id x2 = 1; if ( count(x3,1) ); if ( match(sign_(`N')) ); id x3*x4^nw?*x5^nd?*`S'(R(?a,n1?),`N')*sign_(`N') = `S'(R(?a,n1),`N')*sign_(`N')*x3 +HH(R(?a,n1),RR,-1)/[1+`x']*sign_(nd+nw-1)*sig_(n1)*x3; else; id x3*x4^nw?*x5^nd?*`S'(R(?a,n1?),`N') = `S'(R(?a,n1),`N')*x3 -HH(R(?a,n1),RR,1)/[1-`x']*sign_(nd+nw-1)*sig_(n1)*x3; endif; repeat id HH(R(n1?,?a),RR(?b),n?) = HH(R(?a),RR(?b,n1*n),n*sig_(n1)); repeat id HH(R,RR(?a,n?!{-1,0,1},?b),`x'?) = HH(R,RR(?a,0,n-sig_(n),?b),`x'); repeat id HH(R,RR(?a,-1,?b),`x'?) = -HH(R,RR(?a,-2,?b),`x'); repeat id HH(R,RR(?a,-2,?b),`x'?) = HH(R,RR(?a,-1,?b),`x'); id HH(R,RR(?a,n?),n1?) = Mel*H(R(?a),`x')-`Ha'(R(?a),`x'); repeat id H(R(?a,0,n?!{0,0},?b),`x') = H(R(?a,n+sig_(n),?b),`x'); repeat id `Ha'(R(?a,0,n?!{0,0},?b),`x') = `Ha'(R(?a,n+sig_(n),?b),`x'); id `Ha'(R,`x') = 1; endif; B x3; Print +f +s; .sort id x3 = 1; #call hmellin(H,`x',`S',`N') id H(R,x?) = 1; id H(R(?a),1) = `Ha'(R(?a),1); id `S'(R,`N') = 1; #endprocedure *--#] invmellin : *--#[ onetoinf : #procedure onetoinf(H,S) * * Converts H(R(..),1) into S(R(..),inf) * J.Vermaseren 27-jul-1998 * repeat id `H'(R(?a,0,n1?,?b),1) = `H'(R(?a,n1+sig_(n1),?b),1); repeat; id,once,`H'(R(?a),1) = Saa(RR(?a),RR)*RR(?a); repeat id RR(?a,n1?) = RR(?a)*sig_(n1); id RR = 1; repeat id Saa(RR(?a,n1?,n2?),RR(?b)) = Saa(RR(?a,n1),RR(n2*sig_(n1),?b)); id Saa(RR(n1?),RR(?b)) = Saa(RR,RR(n1,?b)); repeat id Saa(RR(?a),RR(?b,n1?,n2?)) = Saa(RR(n2,?a),RR(?b,n1)) -Saa(RR(?a),RR(?b,sig_(n2)*n1+sig_(n1)*n2)); id,Saa(RR(?a),RR(?b)) = `S'(R(?b,?a),inf); endrepeat; * #endprocedure *--#] onetoinf : *--#[ stoh : #procedure stoh(S,H,x) * * Routine determines the H functions that come with * sum_(i,1,inf,`x'^i*S(R(..),i)) * J.Vermaseren 10-jul-1998 * id sum(i,1,inf)*pow(x?,i)*`S'(R(n1?,?a),i) = SS(RR(n1,?a),RR(?a),RR(sig_(n1)),x); repeat id SS(RR(?a),RR(n1?,?b),RR(?c,n2?),x?) = SS(RR(?a),RR(?b),RR(?c,n2,n2*sig_(n1)),x); repeat id SS(RR(?a,n1?),RR(?b),RR(?c,n2?),x?) = SS(RR(?a),RR(abs_(n1)*n2,?b),RR(?c),x); id SS(RR,RR(?a),RR,x?) = SS(RR(?a),RR,x); repeat id SS(RR(?a,n2?,n1?),RR(?b),x?) = SS(RR(?a,n2),RR(n1,?b),x)+SS(RR(?a,abs_(n2)*sig_(n1)+n1),RR(?b),x); id SS(RR(n1?),RR(?b),x?) = SS(RR,RR(n1,?b),x); repeat id SS(RR(?a),RR(n1?,?b),x?) = SS(RR(?a,n1),RR(?b),x)*sig_(n1); id SS(RR(?a),RR,`x') = `H'(R(?a),`x')/[1-`x']; id SS(RR(?a),RR,-`x') = SS(R(?a),R,`x')/[1+`x']; repeat id SS(R(n1?,?a),R(?b),`x') = -SS(R(?a),R(?b,-n1),`x'); id SS(R,R(?a),`x') = `H'(R(?a),`x'); #endprocedure *--#] stoh : *--#[ stoz : #procedure stoz(S,Z) * * Routine converts S-sums into Z-sums * Z is the multiple sum in which N >= i1 > i2 > i3 > ... > ip >= 1 * S is the multiple sum in which N >= i1 >= i2 >= i3 >= ... >= ip >= 1 * * J.Vermaseren 21-jul-1998 * repeat; id,once,`S'(R(n1?,?a),i?) = SS(RR(n1,?a),RR(?a),RR(sig_(n1)),i); repeat id SS(RR(?a),RR(n1?,?b),RR(?c,n2?),i?) = SS(RR(?a),RR(?b),RR(?c,n2,n2*sig_(n1)),i); repeat id SS(RR(?a,n1?),RR(?b),RR(?c,n2?),i?) = SS(RR(?a),RR(abs_(n1)*n2,?b),RR(?c),i); id SS(RR,RR(?a),RR,i?) = SS(RR(?a),RR,i); repeat id SS(RR(?a,n2?,n1?),RR(?b),i?) = SS(RR(?a,n2),RR(n1,?b),i)+SS(RR(?a,abs_(n2)*sig_(n1)+n1),RR(?b),i); id SS(RR(n1?),RR(?b),i?) = SS(RR,RR(n1,?b),i); repeat id SS(RR(?a),RR(n1?,?b),i?) = SS(RR(?a,n1),RR(?b),i) *sig_(n1) ; id SS(RR(?a),RR,i?) = `Z'(R(?a),i); repeat id SS(R(n1?,?a),R(?b),i?) = -SS(R(?a),R(?b,-n1),i); id SS(R,R(?a),i?) = `Z'(R(?a),i); endrepeat; #endprocedure *--#] stoz : *--#[ subz : #procedure subz(Z) * * Procedure evaluates the harmonic Z sums with a numerical last argument * into their numerical value. The symbolic ones are untouched of course. * * J.Vermaseren,3-aug-1998 * * All operations are done in the arguments to ensure continuous sorting * If this would not be done, there would be many terms. * id `Z'(R(?a),n?pos_) = acc1(`Z'(?a,n)); id `Z'(R(?a),n?neg0_) = 0; repeat; argument acc1; id `Z'(?a,0) = 0; id `Z'(m?pos_,?a,n?) = sum_(jjj,1,n,`Z'(?a,jjj-1)/jjj^m); id `Z'(?a,0) = 0; id `Z'(n?) = 1; endargument; argument acc1; id `Z'(?a,0) = 0; id `Z'(m?neg_,?a,n?) = sum_(jjj,1,n,`Z'(?a,jjj-1)*sign_(jjj)*jjj^m); id `Z'(?a,0) = 0; id `Z'(n?) = 1; endargument; endrepeat; id acc1(x?) = x; #endprocedure *--#] subz : *--#[ sumtria : #procedure sumtria(i,S) * * Sums objects of the type * sum`i'(j`i',1,n-1)*S`i'(R(?a),n-j`i')*S`i'(R(?b),j`i')/j`i'^k * for any (integer) values of ?a, ?b and k (k>0) * * Does not do the case k=0. * * J.Vermaseren,30-oct-1997 * if ( count(j`i',1) < 0 ); id 1/j`i'^n? = den`i'(n,0,j`i'); repeat id den`i'(n1?,0,j`i')*den`i'(n2?,0,j`i') = den`i'(n1+n2,0,j`i'); endif; if ( match(S`i'(R(?a),n?)) ); SplitArg,(j`i'),S`i'; id S`i'(R(?a),j`i') = S`i'(R(?a),0,j`i'); if ( match(sum`i'(j`i',n1?,n2?)*S`i'(R(?a),n2?,-j`i')) == 0 ); id sum`i'(j`i',n1?,n2?) = sum`i'(j`i',n1,n2+1); if ( match(sum`i'(j`i',n1?,n2?)*S`i'(R(?a),n2?,-j`i')) == 0 ); id sum`i'(j`i',n1?,n2?) = sum`i'(j`i',n1,n2-1); endif; endif; endif; if ( count(den`i',1) == 1 ); if ( count(S`i',1) == 2 ); id sum`i'(j`i',1,n?)*S`i'(R(?a),n?,-j`i')*S`i'(R(?b),0,j`i') *sign`i'(j`i')*den`i'(k?,0,j`i') = SS(R(?a),R(?b),-k,n); id sum`i'(j`i',1,n?)*S`i'(R(?a),n?,-j`i')*S`i'(R(?b),0,j`i') *den`i'(k?,0,j`i') = SS(R(?a),R(?b),k,n); id sum`i'(j`i',1,n?)*S`i'(R(?a),x1?,-j`i')*S`i'(R(?b),0,j`i') *sign`i'(j`i')*den`i'(k?,0,j`i') = SS(R(?a),R(?b),-k,n+1,x1); id sum`i'(j`i',1,n?)*S`i'(R(?a),x1?,-j`i')*S`i'(R(?b),0,j`i') *den`i'(k?,0,j`i') = SS(R(?a),R(?b),k,n+1,x1); elseif ( count(S`i',1) == 1 ); id sum`i'(j`i',1,n?)*S`i'(R(?a),n?,-j`i') *sign`i'(j`i')*den`i'(k?,0,j`i') = SS(R(?a),R,-k,n); id sum`i'(j`i',1,n?)*S`i'(R(?a),n?,-j`i') *den`i'(k?,0,j`i') = SS(R(?a),R,k,n); id sum`i'(j`i',1,n?)*S`i'(R(?a),x1?,-j`i') *sign`i'(j`i')*den`i'(k?,0,j`i') = SS(R(?a),R,-k,n+1,x1); id sum`i'(j`i',1,n?)*S`i'(R(?a),x1?,-j`i') *den`i'(k?,0,j`i') = SS(R(?a),R,k,n+1,x1); endif; id SS(?a,n?,n?) = SS(?a,n); id SS(R(?a),R(?b),k?pos_,n?,x1?) = sum`i'(j`i',1,n-1)* S`i'(R(?a),x1,-j`i')*S`i'(R(?b),0,j`i')*den`i'(0,j`i')^k; id SS(R(?a),R(?b),k?neg_,n?,x1?) = sum`i'(j`i',1,n-1)*sign`i'(j`i')* S`i'(R(?a),x1,-j`i')*S`i'(R(?b),0,j`i')*den`i'(0,j`i')^(abs_(k)); endif; * * The sums that this routine can handle are now in the function SS. * Notation in the sequel: we add pairs of k,n if there are new denominators * and summations boundaries. * Eventually we hit on sums we can do and then we work backwards in a * combination of sums and synchronizations. * repeat id SS(R(n1?,?a),R(?b),k?,?c) = +sum_(jjj,1,abs_(k), SS(R(?a),R(?b),sig_(n1*k)*jjj,sig_(n1)*(abs_(k)+abs_(n1)-jjj),?c)* binom_(abs_(k)+abs_(n1)-1-jjj,abs_(n1)-1)) +sum_(jjj,1,abs_(n1), SS(R(?b),R(?a),sig_(n1*k)*jjj,sig_(k)*(abs_(k)+abs_(n1)-jjj),?c)* binom_(abs_(k)+abs_(n1)-1-jjj,abs_(k)-1)); id SS(R,R(?a),k?,m?,?c,n?) = SS(R,R(k,?a),m,?c,n) -SS(R,R(?a),sig_(k)*m+sig_(m)*k,?c,n); id SS(R,R(?a),?c,n?) = `S'(R(reverse_(?c),?a),n); #endprocedure *--#] sumtria : *--#[ xtot : #procedure xtot(H,x,t,par) * * Procedure makes conversion of x to t with x=(1-t)/(1+t) * The indices in the output H(...,t) are transformed indices. * This means that * 0 -> (1) + (-1) * 1 -> (0) - (-1) * (-1)-> (-1) * #if `par' == 2 repeat id `H'(R(?a,n?!{0,1,-1},?b),`x') = `H'(R(?a,0,n-sig_(n),?b),`x'); #endif *#call htake1(`H',`x',HL) #call hlog1(`H',`x',HL,-1) id HL(R(?a),`x') = (-H1(R(-1),1)-``H''(R(1),`t'))^nargs_(?a)*invfac_(nargs_(?a)); .sort id `H'(R(?a),`x') = H1(R(?a),1)-HHH(R(?a),R,`t'); repeat id HHH(R(n1?,n2?,?a),R(?b),`t') = +`H'(R(?b,n1),`t')*H2(R(n2,?a),1) -HHH(R(n2,?a),R(?b,n1),`t'); id HHH(R(n1?),R(?b),`t') = `H'(R(?b,n1),`t'); *#call htake1(H2,1,HL) #call hlog1(H2,1,HL,-1) Multiply replace_(H2,H1); id HL(R(?a),1) = (-H1(R(-1),1))^nargs_(?a)*invfac_(nargs_(?a)); #endprocedure *--#] xtot : *--#[ ztos : #procedure ztos(Z,S) * * Converts Z(R(..),i) to S(R(..),i) * Z is the multiple sum in which N >= i1 > i2 > i3 > ... > ip >= 1 * S is the multiple sum in which N >= i1 >= i2 >= i3 >= ... >= ip >= 1 * * J.Vermaseren 21-jul-1998 * repeat; id,once,`Z'(R(?a),i?) = SS(RR(?a),RR,i) *RR(?a) ; repeat id RR(?a,n1?) = RR(?a)*sig_(n1); id RR = 1; repeat id SS(RR(?a,n1?,n2?),RR(?b),i?) = SS(RR(?a,n1),RR(n2*sig_(n1),?b),i); id SS(RR(n1?),RR(?b),i?) = SS(RR,RR(n1,?b),i); repeat id SS(RR(?a),RR(?b,n1?,n2?),i?) = SS(RR(n2,?a),RR(?b,n1),i) -SS(RR(?a),RR(?b,sig_(n2)*n1+sig_(n1)*n2),i); id,SS(RR(?a),RR(?b),i?) = `S'(R(?b,?a),i); endrepeat; #endprocedure *--#] ztos : #endif