#Pii (for i between 1 and 9)  is the weight-enumerator of  i by i torodial matrices with entries in {-1,1} under
#the Ising-with-magnetic-field weight
#The list of length 9, L, has them all.

P11:=z^2/w + w*z^2:
P22:=4 + 4/w^2 + 4*w^2 + 2/z^8 + z^8/w^4 + w^4*z^8:
P33:=
6/(w^3*z^6) + 45/(w*z^6) + (45*w)/z^6 + (6*w^3)/z^6 + 36/(w^3*z^2) + 
 36/(w*z^2) + (36*w)/z^2 + (36*w^3)/z^2 + (18*z^2)/w^5 + (36*z^2)/w^3 + 
 (45*z^2)/w + 45*w*z^2 + 36*w^3*z^2 + 18*w^5*z^2 + (18*z^6)/w^5 + 
 (6*z^6)/w^3 + 6*w^3*z^6 + 18*w^5*z^6 + (9*z^10)/w^7 + 9*w^7*z^10 + 
 z^18/w^9 + w^9*z^18:
P44:=
4356 + 228/w^8 + 1248/w^6 + 2928/w^4 + 3680/w^2 + 3680*w^2 + 2928*w^4 + 
 1248*w^6 + 228*w^8 + 2/z^32 + 16/(w^2*z^24) + (16*w^2)/z^24 + 64/z^20 + 
 120/z^16 + 56/(w^4*z^16) + 96/(w^2*z^16) + (96*w^2)/z^16 + (56*w^4)/z^16 + 
 576/z^12 + 64/(w^4*z^12) + 512/(w^2*z^12) + (512*w^2)/z^12 + (64*w^4)/z^12 + 
 2112/z^8 + 128/(w^6*z^8) + 768/(w^4*z^8) + 1392/(w^2*z^8) + (1392*w^2)/z^8 + 
 (768*w^4)/z^8 + (128*w^6)/z^8 + 3264/z^4 + 448/(w^6*z^4) + 1568/(w^4*z^4) + 
 3136/(w^2*z^4) + (3136*w^2)/z^4 + (1568*w^4)/z^4 + (448*w^6)/z^4 + 
 1600*z^4 + (576*z^4)/w^8 + (1664*z^4)/w^6 + (1824*z^4)/w^4 + 
 (1920*z^4)/w^2 + 1920*w^2*z^4 + 1824*w^4*z^4 + 1664*w^6*z^4 + 576*w^8*z^4 + 
 768*z^8 + (208*z^8)/w^10 + (736*z^8)/w^8 + (688*z^8)/w^6 + (704*z^8)/w^4 + 
 (624*z^8)/w^2 + 624*w^2*z^8 + 704*w^4*z^8 + 688*w^6*z^8 + 736*w^8*z^8 + 
 208*w^10*z^8 + (256*z^12)/w^10 + (256*z^12)/w^8 + (192*z^12)/w^6 + 
 (96*z^12)/w^4 + (64*z^12)/w^2 + 64*w^2*z^12 + 96*w^4*z^12 + 192*w^6*z^12 + 
 256*w^8*z^12 + 256*w^10*z^12 + 8*z^16 + (88*z^16)/w^12 + (96*z^16)/w^10 + 
 (24*z^16)/w^8 + 24*w^8*z^16 + 96*w^10*z^16 + 88*w^12*z^16 + (32*z^20)/w^12 + 
 32*w^12*z^20 + (16*z^24)/w^14 + 16*w^14*z^24 + z^32/w^16 + w^16*z^32
:P55:=
10/(w^5*z^30) + 250/(w^3*z^30) + 975/(w*z^30) + (975*w)/z^30 + 
 (250*w^3)/z^30 + (10*w^5)/z^30 + 400/(w^5*z^26) + 2700/(w^3*z^26) + 
 4300/(w*z^26) + (4300*w)/z^26 + (2700*w^3)/z^26 + (400*w^5)/z^26 + 
 250/(w^7*z^22) + 4450/(w^5*z^22) + 13400/(w^3*z^22) + 23275/(w*z^22) + 
 (23275*w)/z^22 + (13400*w^3)/z^22 + (4450*w^5)/z^22 + (250*w^7)/z^22 + 
 3800/(w^7*z^18) + 21500/(w^5*z^18) + 52650/(w^3*z^18) + 79200/(w*z^18) + 
 (79200*w)/z^18 + (52650*w^3)/z^18 + (21500*w^5)/z^18 + (3800*w^7)/z^18 + 
 1550/(w^9*z^14) + 22225/(w^7*z^14) + 77900/(w^5*z^14) + 169600/(w^3*z^14) + 
 240800/(w*z^14) + (240800*w)/z^14 + (169600*w^3)/z^14 + (77900*w^5)/z^14 + 
 (22225*w^7)/z^14 + (1550*w^9)/z^14 + 13800/(w^9*z^10) + 76800/(w^7*z^10) + 
 231620/(w^5*z^10) + 428450/(w^3*z^10) + 572200/(w*z^10) + (572200*w)/z^10 + 
 (428450*w^3)/z^10 + (231620*w^5)/z^10 + (76800*w^7)/z^10 + 
 (13800*w^9)/z^10 + 4450/(w^11*z^6) + 54475/(w^9*z^6) + 220750/(w^7*z^6) + 
 507100/(w^5*z^6) + 823500/(w^3*z^6) + 1027975/(w*z^6) + (1027975*w)/z^6 + 
 (823500*w^3)/z^6 + (507100*w^5)/z^6 + (220750*w^7)/z^6 + (54475*w^9)/z^6 + 
 (4450*w^11)/z^6 + 26050/(w^11*z^2) + 148550/(w^9*z^2) + 422350/(w^7*z^2) + 
 776100/(w^5*z^2) + 1084300/(w^3*z^2) + 1249600/(w*z^2) + (1249600*w)/z^2 + 
 (1084300*w^3)/z^2 + (776100*w^5)/z^2 + (422350*w^7)/z^2 + (148550*w^9)/z^2 + 
 (26050*w^11)/z^2 + (7100*z^2)/w^13 + (75200*z^2)/w^11 + (270675*z^2)/w^9 + 
 (538325*z^2)/w^7 + (789500*z^2)/w^5 + (966500*z^2)/w^3 + (1068600*z^2)/w + 
 1068600*w*z^2 + 966500*w^3*z^2 + 789500*w^5*z^2 + 538325*w^7*z^2 + 
 270675*w^9*z^2 + 75200*w^11*z^2 + 7100*w^13*z^2 + (28150*z^6)/w^13 + 
 (135150*z^6)/w^11 + (291850*z^6)/w^9 + (433650*z^6)/w^7 + (530800*z^6)/w^5 + 
 (589550*z^6)/w^3 + (606000*z^6)/w + 606000*w*z^6 + 589550*w^3*z^6 + 
 530800*w^5*z^6 + 433650*w^7*z^6 + 291850*w^9*z^6 + 135150*w^11*z^6 + 
 28150*w^13*z^6 + (6745*z^10)/w^15 + (53900*z^10)/w^13 + (134600*z^10)/w^11 + 
 (196500*z^10)/w^9 + (228425*z^10)/w^7 + (239470*z^10)/w^5 + 
 (241900*z^10)/w^3 + (246500*z^10)/w + 246500*w*z^10 + 241900*w^3*z^10 + 
 239470*w^5*z^10 + 228425*w^7*z^10 + 196500*w^9*z^10 + 134600*w^11*z^10 + 
 53900*w^13*z^10 + 6745*w^15*z^10 + (17000*z^14)/w^15 + (53900*z^14)/w^13 + 
 (75450*z^14)/w^11 + (79850*z^14)/w^9 + (75450*z^14)/w^7 + (72250*z^14)/w^5 + 
 (68250*z^14)/w^3 + (65300*z^14)/w + 65300*w*z^14 + 68250*w^3*z^14 + 
 72250*w^5*z^14 + 75450*w^7*z^14 + 79850*w^9*z^14 + 75450*w^11*z^14 + 
 53900*w^13*z^14 + 17000*w^15*z^14 + (3850*z^18)/w^17 + (18675*z^18)/w^15 + 
 (26350*z^18)/w^13 + (24350*z^18)/w^11 + (20125*z^18)/w^9 + 
 (18075*z^18)/w^7 + (15350*z^18)/w^5 + (14850*z^18)/w^3 + (14275*z^18)/w + 
 14275*w*z^18 + 14850*w^3*z^18 + 15350*w^5*z^18 + 18075*w^7*z^18 + 
 20125*w^9*z^18 + 24350*w^11*z^18 + 26350*w^13*z^18 + 18675*w^15*z^18 + 
 3850*w^17*z^18 + (5450*z^22)/w^17 + (8850*z^22)/w^15 + (6550*z^22)/w^13 + 
 (4800*z^22)/w^11 + (3950*z^22)/w^9 + (2750*z^22)/w^7 + (2300*z^22)/w^5 + 
 (1400*z^22)/w^3 + (1200*z^22)/w + 1200*w*z^22 + 1400*w^3*z^22 + 
 2300*w^5*z^22 + 2750*w^7*z^22 + 3950*w^9*z^22 + 4800*w^11*z^22 + 
 6550*w^13*z^22 + 8850*w^15*z^22 + 5450*w^17*z^22 + (1300*z^26)/w^19 + 
 (2875*z^26)/w^17 + (1650*z^26)/w^15 + (1100*z^26)/w^13 + (650*z^26)/w^11 + 
 (250*z^26)/w^9 + (125*z^26)/w^7 + (100*z^26)/w^3 + (100*z^26)/w + 
 100*w*z^26 + 100*w^3*z^26 + 125*w^7*z^26 + 250*w^9*z^26 + 650*w^11*z^26 + 
 1100*w^13*z^26 + 1650*w^15*z^26 + 2875*w^17*z^26 + 1300*w^19*z^26 + 
 (850*z^30)/w^19 + (450*z^30)/w^17 + (210*z^30)/w^15 + (50*z^30)/w^13 + 
 (10*z^30)/w^5 + 10*w^5*z^30 + 50*w^13*z^30 + 210*w^15*z^30 + 450*w^17*z^30 + 
 850*w^19*z^30 + (250*z^34)/w^21 + (150*z^34)/w^19 + (25*z^34)/w^17 + 
 25*w^17*z^34 + 150*w^19*z^34 + 250*w^21*z^34 + (50*z^38)/w^21 + 
 50*w^21*z^38 + (25*z^42)/w^23 + 25*w^23*z^42 + z^50/w^25 + w^25*z^50
:P66:=
1744323016 + 480916/w^18 + 9647748/w^16 + 57644748/w^14 + 190654740/w^12 + 
 435314160/w^10 + 769393656/w^8 + 1131880752/w^6 + 1450906884/w^4 + 
 1668054600/w^2 + 1668054600*w^2 + 1450906884*w^4 + 1131880752*w^6 + 
 769393656*w^8 + 435314160*w^10 + 190654740*w^12 + 57644748*w^14 + 
 9647748*w^16 + 480916*w^18 + 2/z^72 + 36/(w^2*z^64) + (36*w^2)/z^64 + 
 144/z^60 + 576/z^56 + 306/(w^4*z^56) + 216/(w^2*z^56) + (216*w^2)/z^56 + 
 (306*w^4)/z^56 + 1152/z^52 + 144/(w^4*z^52) + 2304/(w^2*z^52) + 
 (2304*w^2)/z^52 + (144*w^4)/z^52 + 11076/z^48 + 1668/(w^6*z^48) + 
 3456/(w^4*z^48) + 6912/(w^2*z^48) + (6912*w^2)/z^48 + (3456*w^4)/z^48 + 
 (1668*w^6)/z^48 + 47520/z^44 + 2304/(w^6*z^44) + 20448/(w^4*z^44) + 
 33408/(w^2*z^44) + (33408*w^2)/z^44 + (20448*w^4)/z^44 + (2304*w^6)/z^44 + 
 205542/z^40 + 6696/(w^8*z^40) + 28152/(w^6*z^40) + 82404/(w^4*z^40) + 
 182016/(w^2*z^40) + (182016*w^2)/z^40 + (82404*w^4)/z^40 + 
 (28152*w^6)/z^40 + (6696*w^8)/z^40 + 1004256/z^36 + 18144/(w^8*z^36) + 
 153456/(w^6*z^36) + 443016/(w^4*z^36) + 806544/(w^2*z^36) + 
 (806544*w^2)/z^36 + (443016*w^4)/z^36 + (153456*w^6)/z^36 + 
 (18144*w^8)/z^36 + 4302864/z^32 + 21600/(w^10*z^32) + 173304/(w^8*z^32) + 
 757296/(w^6*z^32) + 2091492/(w^4*z^32) + 3589416/(w^2*z^32) + 
 (3589416*w^2)/z^32 + (2091492*w^4)/z^32 + (757296*w^6)/z^32 + 
 (173304*w^8)/z^32 + (21600*w^10)/z^32 + 16566624/z^28 + 101520/(w^10*z^28) + 
 951552/(w^8*z^28) + 3683376/(w^6*z^28) + 8660952/(w^4*z^28) + 
 14213952/(w^2*z^28) + (14213952*w^2)/z^28 + (8660952*w^4)/z^28 + 
 (3683376*w^6)/z^28 + (951552*w^8)/z^28 + (101520*w^10)/z^28 + 
 56924808/z^24 + 60768/(w^12*z^24) + 820224/(w^10*z^24) + 
 4592088/(w^8*z^24) + 14895720/(w^6*z^24) + 32060817/(w^4*z^24) + 
 49325472/(w^2*z^24) + (49325472*w^2)/z^24 + (32060817*w^4)/z^24 + 
 (14895720*w^6)/z^24 + (4592088*w^8)/z^24 + (820224*w^10)/z^24 + 
 (60768*w^12)/z^24 + 165466512/z^20 + 410832/(w^12*z^20) + 
 4192704/(w^10*z^20) + 18671616/(w^8*z^20) + 51576336/(w^6*z^20) + 
 100316088/(w^4*z^20) + 146534832/(w^2*z^20) + (146534832*w^2)/z^20 + 
 (100316088*w^4)/z^20 + (51576336*w^6)/z^20 + (18671616*w^8)/z^20 + 
 (4192704*w^10)/z^20 + (410832*w^12)/z^20 + 405640980/z^16 + 
 150948/(w^14*z^16) + 2765664/(w^12*z^16) + 17364096/(w^10*z^16) + 
 61849620/(w^8*z^16) + 148241772/(w^6*z^16) + 263218752/(w^4*z^16) + 
 364675500/(w^2*z^16) + (364675500*w^2)/z^16 + (263218752*w^4)/z^16 + 
 (148241772*w^6)/z^16 + (61849620*w^8)/z^16 + (17364096*w^10)/z^16 + 
 (2765664*w^12)/z^16 + (150948*w^14)/z^16 + 818194560/z^12 + 
 1158048/(w^14*z^12) + 12133104/(w^12*z^12) + 56807136/(w^10*z^12) + 
 165822984/(w^8*z^12) + 348192192/(w^6*z^12) + 566862840/(w^4*z^12) + 
 747933120/(w^2*z^12) + (747933120*w^2)/z^12 + (566862840*w^4)/z^12 + 
 (348192192*w^6)/z^12 + (165822984*w^8)/z^12 + (56807136*w^10)/z^12 + 
 (12133104*w^12)/z^12 + (1158048*w^14)/z^12 + 1336101246/z^8 + 
 308574/(w^16*z^8) + 6331896/(w^14*z^8) + 40540428/(w^12*z^8) + 
 145123416/(w^10*z^8) + 354531024/(w^8*z^8) + 657496440/(w^6*z^8) + 
 985754664/(w^4*z^8) + 1240315488/(w^2*z^8) + (1240315488*w^2)/z^8 + 
 (985754664*w^4)/z^8 + (657496440*w^6)/z^8 + (354531024*w^8)/z^8 + 
 (145123416*w^10)/z^8 + (40540428*w^12)/z^8 + (6331896*w^14)/z^8 + 
 (308574*w^16)/z^8 + 1728000432/z^4 + 2233584/(w^16*z^4) + 
 22527648/(w^14*z^4) + 101625120/(w^12*z^4) + 287356320/(w^10*z^4) + 
 594585792/(w^8*z^4) + 979974720/(w^6*z^4) + 1356521904/(w^4*z^4) + 
 1628668800/(w^2*z^4) + (1628668800*w^2)/z^4 + (1356521904*w^4)/z^4 + 
 (979974720*w^6)/z^4 + (594585792*w^8)/z^4 + (287356320*w^10)/z^4 + 
 (101625120*w^12)/z^4 + (22527648*w^14)/z^4 + (2233584*w^16)/z^4 + 
 1359828000*z^4 + (2931120*z^4)/w^18 + (26428248*z^4)/w^16 + 
 (105570288*z^4)/w^14 + (265556736*z^4)/w^12 + (494848800*z^4)/w^10 + 
 (753788160*z^4)/w^8 + (997994592*z^4)/w^6 + (1193279472*z^4)/w^4 + 
 (1317182688*z^4)/w^2 + 1317182688*w^2*z^4 + 1193279472*w^4*z^4 + 
 997994592*w^6*z^4 + 753788160*w^8*z^4 + 494848800*w^10*z^4 + 
 265556736*w^12*z^4 + 105570288*w^14*z^4 + 26428248*w^16*z^4 + 
 2931120*w^18*z^4 + 827402400*z^8 + (546516*z^8)/w^20 + (9645120*z^8)/w^18 + 
 (49293576*z^8)/w^16 + (138281976*z^8)/w^14 + (269648586*z^8)/w^12 + 
 (417699720*z^8)/w^10 + (557542728*z^8)/w^8 + (673475688*z^8)/w^6 + 
 (758452707*z^8)/w^4 + (810164736*z^8)/w^2 + 810164736*w^2*z^8 + 
 758452707*w^4*z^8 + 673475688*w^6*z^8 + 557542728*w^8*z^8 + 
 417699720*w^10*z^8 + 269648586*w^12*z^8 + 138281976*w^14*z^8 + 
 49293576*w^16*z^8 + 9645120*w^18*z^8 + 546516*w^20*z^8 + 397078512*z^12 + 
 (2601864*z^12)/w^20 + (19324416*z^12)/w^18 + (62584632*z^12)/w^16 + 
 (127874304*z^12)/w^14 + (198847464*z^12)/w^12 + (262657728*z^12)/w^10 + 
 (313764192*z^12)/w^8 + (351857376*z^12)/w^6 + (377578800*z^12)/w^4 + 
 (392376672*z^12)/w^2 + 392376672*w^2*z^12 + 377578800*w^4*z^12 + 
 351857376*w^6*z^12 + 313764192*w^8*z^12 + 262657728*w^10*z^12 + 
 198847464*w^12*z^12 + 127874304*w^14*z^12 + 62584632*w^16*z^12 + 
 19324416*w^18*z^12 + 2601864*w^20*z^12 + 152525196*z^16 + 
 (442980*z^16)/w^22 + (6240528*z^16)/w^20 + (24871536*z^16)/w^18 + 
 (53905896*z^16)/w^16 + (83537208*z^16)/w^14 + (107681508*z^16)/w^12 + 
 (125152164*z^16)/w^10 + (137160000*z^16)/w^8 + (144748116*z^16)/w^6 + 
 (149403996*z^16)/w^4 + (151680312*z^16)/w^2 + 151680312*w^2*z^16 + 
 149403996*w^4*z^16 + 144748116*w^6*z^16 + 137160000*w^8*z^16 + 
 125152164*w^10*z^16 + 107681508*w^12*z^16 + 83537208*w^14*z^16 + 
 53905896*w^16*z^16 + 24871536*w^18*z^16 + 6240528*w^20*z^16 + 
 442980*w^22*z^16 + 47010240*z^20 + (1548144*z^20)/w^22 + 
 (8636976*z^20)/w^20 + (20542608*z^20)/w^18 + (31673808*z^20)/w^16 + 
 (39356208*z^20)/w^14 + (43856208*z^20)/w^12 + (46237392*z^20)/w^10 + 
 (47208816*z^20)/w^8 + (47457792*z^20)/w^6 + (47250864*z^20)/w^4 + 
 (47161728*z^20)/w^2 + 47161728*w^2*z^20 + 47250864*w^4*z^20 + 
 47457792*w^6*z^20 + 47208816*w^8*z^20 + 46237392*w^10*z^20 + 
 43856208*w^12*z^20 + 39356208*w^14*z^20 + 31673808*w^16*z^20 + 
 20542608*w^18*z^20 + 8636976*w^20*z^20 + 1548144*w^22*z^20 + 11788038*z^24 + 
 (252792*z^24)/w^24 + (2564496*z^24)/w^22 + (7164882*z^24)/w^20 + 
 (11037624*z^24)/w^18 + (13086414*z^24)/w^16 + (13794192*z^24)/w^14 + 
 (13788678*z^24)/w^12 + (13410360*z^24)/w^10 + (12893472*z^24)/w^8 + 
 (12408816*z^24)/w^6 + (12095820*z^24)/w^4 + (11825928*z^24)/w^2 + 
 11825928*w^2*z^24 + 12095820*w^4*z^24 + 12408816*w^6*z^24 + 
 12893472*w^8*z^24 + 13410360*w^10*z^24 + 13788678*w^12*z^24 + 
 13794192*w^14*z^24 + 13086414*w^16*z^24 + 11037624*w^18*z^24 + 
 7164882*w^20*z^24 + 2564496*w^22*z^24 + 252792*w^24*z^24 + 2299680*z^28 + 
 (608112*z^28)/w^24 + (2282256*z^28)/w^22 + (3595176*z^28)/w^20 + 
 (4035024*z^28)/w^18 + (3950064*z^28)/w^16 + (3683376*z^28)/w^14 + 
 (3363048*z^28)/w^12 + (3051504*z^28)/w^10 + (2803824*z^28)/w^8 + 
 (2599344*z^28)/w^6 + (2425752*z^28)/w^4 + (2347344*z^28)/w^2 + 
 2347344*w^2*z^28 + 2425752*w^4*z^28 + 2599344*w^6*z^28 + 2803824*w^8*z^28 + 
 3051504*w^10*z^28 + 3363048*w^12*z^28 + 3683376*w^14*z^28 + 
 3950064*w^16*z^28 + 4035024*w^18*z^28 + 3595176*w^20*z^28 + 
 2282256*w^22*z^28 + 608112*w^24*z^28 + 373752*z^32 + (100332*z^32)/w^26 + 
 (648828*z^32)/w^24 + (1118268*z^32)/w^22 + (1169172*z^32)/w^20 + 
 (1040544*z^32)/w^18 + (898164*z^32)/w^16 + (761616*z^32)/w^14 + 
 (642528*z^32)/w^12 + (550836*z^32)/w^10 + (475092*z^32)/w^8 + 
 (423540*z^32)/w^6 + (395568*z^32)/w^4 + (373176*z^32)/w^2 + 
 373176*w^2*z^32 + 395568*w^4*z^32 + 423540*w^6*z^32 + 475092*w^8*z^32 + 
 550836*w^10*z^32 + 642528*w^12*z^32 + 761616*w^14*z^32 + 898164*w^16*z^32 + 
 1040544*w^18*z^32 + 1169172*w^20*z^32 + 1118268*w^22*z^32 + 
 648828*w^24*z^32 + 100332*w^26*z^32 + 34704*z^36 + (153504*z^36)/w^26 + 
 (336024*z^36)/w^24 + (320976*z^36)/w^22 + (258408*z^36)/w^20 + 
 (203232*z^36)/w^18 + (155160*z^36)/w^16 + (118944*z^36)/w^14 + 
 (93384*z^36)/w^12 + (74592*z^36)/w^10 + (60840*z^36)/w^8 + 
 (50160*z^36)/w^6 + (42120*z^36)/w^4 + (38592*z^36)/w^2 + 38592*w^2*z^36 + 
 42120*w^4*z^36 + 50160*w^6*z^36 + 60840*w^8*z^36 + 74592*w^10*z^36 + 
 93384*w^12*z^36 + 118944*w^14*z^36 + 155160*w^16*z^36 + 203232*w^18*z^36 + 
 258408*w^20*z^36 + 320976*w^22*z^36 + 336024*w^24*z^36 + 153504*w^26*z^36 + 
 3456*z^40 + (27225*z^40)/w^28 + (95544*z^40)/w^26 + (86544*z^40)/w^24 + 
 (62136*z^40)/w^22 + (41634*z^40)/w^20 + (28368*z^40)/w^18 + 
 (19764*z^40)/w^16 + (13464*z^40)/w^14 + (8820*z^40)/w^12 + 
 (5184*z^40)/w^10 + (3456*z^40)/w^8 + (2808*z^40)/w^6 + (2700*z^40)/w^4 + 
 (2664*z^40)/w^2 + 2664*w^2*z^40 + 2700*w^4*z^40 + 2808*w^6*z^40 + 
 3456*w^8*z^40 + 5184*w^10*z^40 + 8820*w^12*z^40 + 13464*w^14*z^40 + 
 19764*w^16*z^40 + 28368*w^18*z^40 + 41634*w^20*z^40 + 62136*w^22*z^40 + 
 86544*w^24*z^40 + 95544*w^26*z^40 + 27225*w^28*z^40 + (23688*z^44)/w^28 + 
 (24480*z^44)/w^26 + (13968*z^44)/w^24 + (7632*z^44)/w^22 + 
 (4968*z^44)/w^20 + (2736*z^44)/w^18 + (1224*z^44)/w^16 + (432*z^44)/w^14 + 
 (72*z^44)/w^12 + (144*z^44)/w^10 + (144*z^44)/w^8 + (144*z^44)/w^6 + 
 (144*z^44)/w^4 + (144*z^44)/w^2 + 144*w^2*z^44 + 144*w^4*z^44 + 
 144*w^6*z^44 + 144*w^8*z^44 + 144*w^10*z^44 + 72*w^12*z^44 + 432*w^14*z^44 + 
 1224*w^16*z^44 + 2736*w^18*z^44 + 4968*w^20*z^44 + 7632*w^22*z^44 + 
 13968*w^24*z^44 + 24480*w^26*z^44 + 23688*w^28*z^44 + 12*z^48 + 
 (4908*z^48)/w^30 + (7308*z^48)/w^28 + (2844*z^48)/w^26 + (1452*z^48)/w^24 + 
 (792*z^48)/w^22 + (216*z^48)/w^20 + (36*z^48)/w^18 + (12*z^48)/w^12 + 
 12*w^12*z^48 + 36*w^18*z^48 + 216*w^20*z^48 + 792*w^22*z^48 + 
 1452*w^24*z^48 + 2844*w^26*z^48 + 7308*w^28*z^48 + 4908*w^30*z^48 + 
 (2016*z^52)/w^30 + (648*z^52)/w^28 + (288*z^52)/w^26 + (72*z^52)/w^24 + 
 72*w^24*z^52 + 288*w^26*z^52 + 648*w^28*z^52 + 2016*w^30*z^52 + 
 (558*z^56)/w^32 + (216*z^56)/w^30 + (36*z^56)/w^28 + 36*w^28*z^56 + 
 216*w^30*z^56 + 558*w^32*z^56 + (72*z^60)/w^32 + 72*w^32*z^60 + 
 (36*z^64)/w^34 + 36*w^34*z^64 + z^72/w^36 + w^36*z^72
:



P77:=
14/(w^7*z^70) + 686/(w^5*z^70) + 6174/(w^3*z^70) + 17101/(w*z^70) + 
 (17101*w)/z^70 + (6174*w^3)/z^70 + (686*w^5)/z^70 + (14*w^7)/z^70 + 
 1176/(w^7*z^66) + 20580/(w^5*z^66) + 85260/(w^3*z^66) + 141120/(w*z^66) + 
 (141120*w)/z^66 + (85260*w^3)/z^66 + (20580*w^5)/z^66 + (1176*w^7)/z^66 + 
 784/(w^9*z^62) + 39004/(w^7*z^62) + 286062/(w^5*z^62) + 784588/(w^3*z^62) + 
 1251313/(w*z^62) + (1251313*w)/z^62 + (784588*w^3)/z^62 + 
 (286062*w^5)/z^62 + (39004*w^7)/z^62 + (784*w^9)/z^62 + 37044/(w^9*z^58) + 
 549584/(w^7*z^58) + 2343278/(w^5*z^58) + 5413324/(w^3*z^58) + 
 8147132/(w*z^58) + (8147132*w)/z^58 + (5413324*w^3)/z^58 + 
 (2343278*w^5)/z^58 + (549584*w^7)/z^58 + (37044*w^9)/z^58 + 
 15386/(w^11*z^54) + 669438/(w^9*z^54) + 4768337/(w^7*z^54) + 
 15798482/(w^5*z^54) + 33178194/(w^3*z^54) + 46746490/(w*z^54) + 
 (46746490*w)/z^54 + (33178194*w^3)/z^54 + (15798482*w^5)/z^54 + 
 (4768337*w^7)/z^54 + (669438*w^9)/z^54 + (15386*w^11)/z^54 + 
 473732/(w^11*z^50) + 6562276/(w^9*z^50) + 31629500/(w^7*z^50) + 
 90700568/(w^5*z^50) + 173274976/(w^3*z^50) + 237501138/(w*z^50) + 
 (237501138*w)/z^50 + (173274976*w^3)/z^50 + (90700568*w^5)/z^50 + 
 (31629500*w^7)/z^50 + (6562276*w^9)/z^50 + (473732*w^11)/z^50 + 
 154644/(w^13*z^46) + 6096580/(w^11*z^46) + 45946320/(w^9*z^46) + 
 180406975/(w^7*z^46) + 456762712/(w^5*z^46) + 819601440/(w^3*z^46) + 
 1087612869/(w*z^46) + (1087612869*w)/z^46 + (819601440*w^3)/z^46 + 
 (456762712*w^5)/z^46 + (180406975*w^7)/z^46 + (45946320*w^9)/z^46 + 
 (6096580*w^11)/z^46 + (154644*w^13)/z^46 + 3499972/(w^13*z^42) + 
 48378876/(w^11*z^42) + 266369684/(w^9*z^42) + 891112558/(w^7*z^42) + 
 2055472286/(w^5*z^42) + 3497135390/(w^3*z^42) + 4526145876/(w*z^42) + 
 (4526145876*w)/z^42 + (3497135390*w^3)/z^42 + (2055472286*w^5)/z^42 + 
 (891112558*w^7)/z^42 + (266369684*w^9)/z^42 + (48378876*w^11)/z^42 + 
 (3499972*w^13)/z^42 + 964908/(w^15*z^38) + 36028916/(w^13*z^38) + 
 296903838/(w^11*z^38) + 1328211150/(w^9*z^38) + 3911937736/(w^7*z^38) + 
 8356769288/(w^5*z^38) + 13557131350/(w^3*z^38) + 17174510094/(w*z^38) + 
 (17174510094*w)/z^38 + (13557131350*w^3)/z^38 + (8356769288*w^5)/z^38 + 
 (3911937736*w^7)/z^38 + (1328211150*w^9)/z^38 + (296903838*w^11)/z^38 + 
 (36028916*w^13)/z^38 + (964908*w^15)/z^38 + 17321696/(w^15*z^34) + 
 248572688/(w^13*z^34) + 1529821552/(w^11*z^34) + 5783078098/(w^9*z^34) + 
 15358929852/(w^7*z^34) + 30613661596/(w^5*z^34) + 47644103360/(w^3*z^34) + 
 59131127006/(w*z^34) + (59131127006*w)/z^34 + (47644103360*w^3)/z^34 + 
 (30613661596*w^5)/z^34 + (15358929852*w^7)/z^34 + (5783078098*w^9)/z^34 + 
 (1529821552*w^11)/z^34 + (248572688*w^13)/z^34 + (17321696*w^15)/z^34 + 
 4149320/(w^17*z^30) + 151930968/(w^15*z^30) + 1365935074/(w^13*z^30) + 
 6746557748/(w^11*z^30) + 22235101567/(w^9*z^30) + 53767639093/(w^7*z^30) + 
 100627758378/(w^5*z^30) + 150484395684/(w^3*z^30) + 183234128196/(w*z^30) + 
 (183234128196*w)/z^30 + (150484395684*w^3)/z^30 + (100627758378*w^5)/z^30 + 
 (53767639093*w^7)/z^30 + (22235101567*w^9)/z^30 + (6746557748*w^11)/z^30 + 
 (1365935074*w^13)/z^30 + (151930968*w^15)/z^30 + (4149320*w^17)/z^30 + 
 62036352/(w^17*z^26) + 936035534/(w^15*z^26) + 6247790472/(w^13*z^26) + 
 25749939236/(w^11*z^26) + 75114359488/(w^9*z^26) + 166606272588/(w^7*z^26) + 
 293651340304/(w^5*z^26) + 422731811866/(w^3*z^26) + 505270672032/(w*z^26) + 
 (505270672032*w)/z^26 + (422731811866*w^3)/z^26 + (293651340304*w^5)/z^26 + 
 (166606272588*w^7)/z^26 + (75114359488*w^9)/z^26 + (25749939236*w^11)/z^26 + 
 (6247790472*w^13)/z^26 + (936035534*w^15)/z^26 + (62036352*w^17)/z^26 + 
 13071240/(w^19*z^22) + 478130289/(w^17*z^22) + 4583127878/(w^15*z^22) + 
 24103845584/(w^13*z^22) + 84932907164/(w^11*z^22) + 
 221324544609/(w^9*z^22) + 452383886045/(w^7*z^22) + 
 752741956064/(w^5*z^22) + 1044481113116/(w^3*z^22) + 
 1226111150362/(w*z^22) + (1226111150362*w)/z^22 + (1044481113116*w^3)/z^22 + 
 (752741956064*w^5)/z^22 + (452383886045*w^7)/z^22 + 
 (221324544609*w^9)/z^22 + (84932907164*w^11)/z^22 + 
 (24103845584*w^13)/z^22 + (4583127878*w^15)/z^22 + (478130289*w^17)/z^22 + 
 (13071240*w^19)/z^22 + 167461028/(w^19*z^18) + 2626977906/(w^17*z^18) + 
 18307531704/(w^15*z^18) + 78705377506/(w^13*z^18) + 
 240337634320/(w^11*z^18) + 563521388010/(w^9*z^18) + 
 1065324302700/(w^7*z^18) + 1677073312236/(w^5*z^18) + 
 2245385273054/(w^3*z^18) + 2590184416344/(w*z^18) + (2590184416344*w)/z^18 + 
 (2245385273054*w^3)/z^18 + (1677073312236*w^5)/z^18 + 
 (1065324302700*w^7)/z^18 + (563521388010*w^9)/z^18 + 
 (240337634320*w^11)/z^18 + (78705377506*w^13)/z^18 + 
 (18307531704*w^15)/z^18 + (2626977906*w^17)/z^18 + (167461028*w^19)/z^18 + 
 31258038/(w^21*z^14) + 1140897870/(w^19*z^14) + 11238581200/(w^17*z^14) + 
 60263536165/(w^15*z^14) + 216538172914/(w^13*z^14) + 
 579073221062/(w^11*z^14) + 1228283506415/(w^9*z^14) + 
 2154448292577/(w^7*z^14) + 3214382312274/(w^5*z^14) + 
 4156905060350/(w^3*z^14) + 4714083230878/(w*z^14) + (4714083230878*w)/z^14 + 
 (4156905060350*w^3)/z^14 + (3214382312274*w^5)/z^14 + 
 (2154448292577*w^7)/z^14 + (1228283506415*w^9)/z^14 + 
 (579073221062*w^11)/z^14 + (216538172914*w^13)/z^14 + 
 (60263536165*w^15)/z^14 + (11238581200*w^17)/z^14 + (1140897870*w^19)/z^14 + 
 (31258038*w^21)/z^14 + 346751734/(w^21*z^10) + 5488791840/(w^19*z^10) + 
 38223830624/(w^17*z^10) + 163633590960/(w^15*z^10) + 
 498988425544/(w^13*z^10) + 1177965083750/(w^11*z^10) + 
 2270379371120/(w^9*z^10) + 3704404370898/(w^7*z^10) + 
 5246382553594/(w^5*z^10) + 6559376050052/(w^3*z^10) + 
 7315992414948/(w*z^10) + (7315992414948*w)/z^10 + (6559376050052*w^3)/z^10 + 
 (5246382553594*w^5)/z^10 + (3704404370898*w^7)/z^10 + 
 (2270379371120*w^9)/z^10 + (1177965083750*w^11)/z^10 + 
 (498988425544*w^13)/z^10 + (163633590960*w^15)/z^10 + 
 (38223830624*w^17)/z^10 + (5488791840*w^19)/z^10 + (346751734*w^21)/z^10 + 
 57803781/(w^23*z^6) + 2063509168/(w^21*z^6) + 19987176930/(w^19*z^6) + 
 104407696582/(w^17*z^6) + 365315486165/(w^15*z^6) + 
 956393981284/(w^13*z^6) + 2005314510668/(w^11*z^6) + 
 3525110922172/(w^9*z^6) + 5363636206159/(w^7*z^6) + 
 7223174561946/(w^5*z^6) + 8740494740516/(w^3*z^6) + 9593228679762/(w*z^6) + 
 (9593228679762*w)/z^6 + (8740494740516*w^3)/z^6 + (7223174561946*w^5)/z^6 + 
 (5363636206159*w^7)/z^6 + (3525110922172*w^9)/z^6 + 
 (2005314510668*w^11)/z^6 + (956393981284*w^13)/z^6 + 
 (365315486165*w^15)/z^6 + (104407696582*w^17)/z^6 + (19987176930*w^19)/z^6 + 
 (2063509168*w^21)/z^6 + (57803781*w^23)/z^6 + 552536446/(w^23*z^2) + 
 8470804440/(w^21*z^2) + 56326589368/(w^19*z^2) + 229402134682/(w^17*z^2) + 
 667062269300/(w^15*z^2) + 1512318560508/(w^13*z^2) + 
 2831804913980/(w^11*z^2) + 4558039936016/(w^9*z^2) + 
 6486662917728/(w^7*z^2) + 8324623503420/(w^5*z^2) + 
 9763890767120/(w^3*z^2) + 10553323863992/(w*z^2) + (10553323863992*w)/z^2 + 
 (9763890767120*w^3)/z^2 + (8324623503420*w^5)/z^2 + 
 (6486662917728*w^7)/z^2 + (4558039936016*w^9)/z^2 + 
 (2831804913980*w^11)/z^2 + (1512318560508*w^13)/z^2 + 
 (667062269300*w^15)/z^2 + (229402134682*w^17)/z^2 + (56326589368*w^19)/z^2 + 
 (8470804440*w^21)/z^2 + (552536446*w^23)/z^2 + (83251000*z^2)/w^25 + 
 (2809586304*z^2)/w^23 + (25549599502*z^2)/w^21 + (124251686398*z^2)/w^19 + 
 (404413464196*z^2)/w^17 + (989449866139*z^2)/w^15 + 
 (1957921371980*z^2)/w^13 + (3293598977144*z^2)/w^11 + 
 (4877329718506*z^2)/w^9 + (6516942694892*z^2)/w^7 + 
 (7993608757008*z^2)/w^5 + (9105714570400*z^2)/w^3 + (9702047320476*z^2)/w + 
 9702047320476*w*z^2 + 9105714570400*w^3*z^2 + 7993608757008*w^5*z^2 + 
 6516942694892*w^7*z^2 + 4877329718506*w^9*z^2 + 3293598977144*w^11*z^2 + 
 1957921371980*w^13*z^2 + 989449866139*w^15*z^2 + 404413464196*w^17*z^2 + 
 124251686398*w^19*z^2 + 25549599502*w^21*z^2 + 2809586304*w^23*z^2 + 
 83251000*w^25*z^2 + (674942758*z^6)/w^25 + (9573147836*z^6)/w^23 + 
 (58073940736*z^6)/w^21 + (214939150034*z^6)/w^19 + (569136640716*z^6)/w^17 + 
 (1184813793268*z^6)/w^15 + (2064099634366*z^6)/w^13 + 
 (3141697954906*z^6)/w^11 + (4306052799146*z^6)/w^9 + 
 (5428590491744*z^6)/w^7 + (6387882332930*z^6)/w^5 + 
 (7084827299662*z^6)/w^3 + (7450710488606*z^6)/w + 7450710488606*w*z^6 + 
 7084827299662*w^3*z^6 + 6387882332930*w^5*z^6 + 5428590491744*w^7*z^6 + 
 4306052799146*w^9*z^6 + 3141697954906*w^11*z^6 + 2064099634366*w^13*z^6 + 
 1184813793268*w^15*z^6 + 569136640716*w^17*z^6 + 214939150034*w^19*z^6 + 
 58073940736*w^21*z^6 + 9573147836*w^23*z^6 + 674942758*w^25*z^6 + 
 (93420068*z^10)/w^27 + (2856631841*z^10)/w^25 + (23277209900*z^10)/w^23 + 
 (100632880152*z^10)/w^21 + (290916362576*z^10)/w^19 + 
 (636595673119*z^10)/w^17 + (1141323152907*z^10)/w^15 + 
 (1768375386204*z^10)/w^13 + (2456691519674*z^10)/w^11 + 
 (3139440346595*z^10)/w^9 + (3756288905054*z^10)/w^7 + 
 (4258835317030*z^10)/w^5 + (4612248018812*z^10)/w^3 + 
 (4794313477653*z^10)/w + 4794313477653*w*z^10 + 4612248018812*w^3*z^10 + 
 4258835317030*w^5*z^10 + 3756288905054*w^7*z^10 + 3139440346595*w^9*z^10 + 
 2456691519674*w^11*z^10 + 1768375386204*w^13*z^10 + 
 1141323152907*w^15*z^10 + 636595673119*w^17*z^10 + 290916362576*w^19*z^10 + 
 100632880152*w^21*z^10 + 23277209900*w^23*z^10 + 2856631841*w^25*z^10 + 
 93420068*w^27*z^10 + (628058676*z^14)/w^27 + (7857691156*z^14)/w^25 + 
 (41498541980*z^14)/w^23 + (133175377020*z^14)/w^21 + 
 (307362613698*z^14)/w^19 + (565083112188*z^14)/w^17 + 
 (884714898704*z^14)/w^15 + (1233881528614*z^14)/w^13 + 
 (1580722719954*z^14)/w^11 + (1899269459290*z^14)/w^9 + 
 (2170626023860*z^14)/w^7 + (2382410682918*z^14)/w^5 + 
 (2526971643728*z^14)/w^3 + (2600165795626*z^14)/w + 2600165795626*w*z^14 + 
 2526971643728*w^3*z^14 + 2382410682918*w^5*z^14 + 2170626023860*w^7*z^14 + 
 1899269459290*w^9*z^14 + 1580722719954*w^11*z^14 + 1233881528614*w^13*z^14 + 
 884714898704*w^15*z^14 + 565083112188*w^17*z^14 + 307362613698*w^19*z^14 + 
 133175377020*w^21*z^14 + 41498541980*w^23*z^14 + 7857691156*w^25*z^14 + 
 628058676*w^27*z^14 + (81442802*z^18)/w^29 + (2151735432*z^18)/w^27 + 
 (14973442001*z^18)/w^25 + (54841738938*z^18)/w^23 + 
 (134667926372*z^18)/w^21 + (253711066336*z^18)/w^19 + 
 (399218440194*z^18)/w^17 + (554654900632*z^18)/w^15 + 
 (705971778386*z^18)/w^13 + (843373641138*z^18)/w^11 + 
 (960996966265*z^18)/w^9 + (1055973325960*z^18)/w^7 + 
 (1127179098136*z^18)/w^5 + (1174481789978*z^18)/w^3 + 
 (1198042870745*z^18)/w + 1198042870745*w*z^18 + 1174481789978*w^3*z^18 + 
 1127179098136*w^5*z^18 + 1055973325960*w^7*z^18 + 960996966265*w^9*z^18 + 
 843373641138*w^11*z^18 + 705971778386*w^13*z^18 + 554654900632*w^15*z^18 + 
 399218440194*w^17*z^18 + 253711066336*w^19*z^18 + 134667926372*w^21*z^18 + 
 54841738938*w^23*z^18 + 14973442001*w^25*z^18 + 2151735432*w^27*z^18 + 
 81442802*w^29*z^18 + (442094758*z^22)/w^29 + (4641933562*z^22)/w^27 + 
 (20308790782*z^22)/w^25 + (53934546666*z^22)/w^23 + 
 (104409790548*z^22)/w^21 + (164538003364*z^22)/w^19 + 
 (226303527562*z^22)/w^17 + (284041074674*z^22)/w^15 + 
 (334626733098*z^22)/w^13 + (376818494052*z^22)/w^11 + 
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 (49*z^90)/w^47 + 49*w^47*z^90 + z^98/w^49 + w^49*z^98
:




P88:=
(w^128*z^256+64*w^126*z^248+128*w^124*z^244+1888*w^124*z^240+384*w^122*z^240+64*w^120*z^240+7168*w^122*z^236+1152*w^120*z^236+34112*w^122*z^232+512*w^118*z^236+
27328*w^120*z^232+128*w^116*z^236+6848*w^118*z^232+183680*w^120*z^228+2560*w^116*z^232+97280*w^118*z^228+1408*w^114*z^232+423152*w^120*z^224+42880*w^116*z^228+
384*w^112*z^232+829312*w^118*z^224+16896*w^114*z^228+64*w^110*z^232+412480*w^116*z^224+8576*w^112*z^228+2860544*w^118*z^220+222848*w^114*z^224+4608*w^110*z^228+
3325824*w^116*z^220+121008*w^112*z^224+1920*w^108*z^228+3830016*w^118*z^216+1980416*w^114*z^220+59136*w^110*z^224+512*w^106*z^228+14604800*w^116*z^216+1141504*w^
112*z^220+33600*w^108*z^224+128*w^104*z^228+13523520*w^114*z^216+720384*w^110*z^220+19840*w^106*z^224+30336512*w^116*z^212+9375488*w^112*z^216+425728*w^108*z^220
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154240*w^104*z^220+1408*w^100*z^224+169384064*w^114*z^208+43297280*w^110*z^212+2689216*w^106*z^216+94208*w^102*z^220+384*w^98*z^224+262932288*w^112*z^208+
31507968*w^108*z^212+1790144*w^104*z^216+55552*w^100*z^220+80*w^96*z^224+232731648*w^114*z^204+246453632*w^110*z^208+22348288*w^106*z^212+1167680*w^102*z^216+
29440*w^98*z^220+785152512*w^112*z^204+199363808*w^108*z^208+15897472*w^104*z^212+774656*w^100*z^216+13952*w^96*z^220+139580160*w^114*z^200+1067503616*w^110*z^
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100*z^212+327936*w^96*z^216+2176*w^92*z^220+3300320320*w^110*z^200+903435008*w^106*z^204+90473600*w^102*z^208+5856000*w^98*z^212+204416*w^94*z^216+768*w^90*z^220
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196+4341104064*w^106*z^200+608090368*w^102*z^204+52541568*w^98*z^208+2937600*w^94*z^212+67712*w^90*z^216+256*w^86*z^220+585632520*w^112*z^192+13139718656*w^108*z
^196+3984515136*w^104*z^200+489912704*w^100*z^204+40147072*w^96*z^208+2081920*w^92*z^212+36608*w^88*z^216+256*w^84*z^220+16*w^80*z^224+8312050304*w^110*z^192+
16820683264*w^106*z^196+3491025984*w^102*z^200+393369088*w^98*z^204+30661760*w^94*z^208+1455360*w^90*z^212+21184*w^86*z^216+256*w^82*z^220+28392162560*w^108*z^
192+17720465792*w^104*z^196+2981915392*w^100*z^200+315929984*w^96*z^204+23341792*w^92*z^208+1016448*w^88*z^212+13696*w^84*z^216+5928271360*w^110*z^188+
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  810*w^48*z^248 + 405*w^50*z^248 + 324*w^52*z^248 + 324*w^56*z^248 + 
  324*w^58*z^248 + 324*w^60*z^248 + 324*w^62*z^248 + 324*w^64*z^248 + 
  324*w^66*z^248 + 324*w^68*z^248 + 324*w^70*z^248 + 324*w^74*z^248 + 
  324*w^76*z^248 + 324*w^78*z^248 + 324*w^80*z^248 + 324*w^82*z^248 + 
  324*w^84*z^248 + 324*w^86*z^248 + 324*w^88*z^248 + 324*w^92*z^248 + 
  324*w^94*z^248 + 324*w^96*z^248 + 324*w^98*z^248 + 324*w^100*z^248 + 
  324*w^102*z^248 + 324*w^104*z^248 + 324*w^106*z^248 + 324*w^110*z^248 + 
  405*w^112*z^248 + 810*w^114*z^248 + 2106*w^116*z^248 + 5832*w^118*z^248 + 
  15471*w^120*z^248 + 34830*w^122*z^248 + 74358*w^124*z^248 + 
  139968*w^126*z^248 + 248103*w^128*z^248 + 409536*w^130*z^248 + 
  663390*w^132*z^248 + 1069848*w^134*z^248 + 1701081*w^136*z^248 + 
  2788263*w^138*z^248 + 4431348*w^140*z^248 + 7118280*w^142*z^248 + 
  11925954*w^144*z^248 + 20211282*w^146*z^248 + 33115068*w^148*z^248 + 
  45396288*w^150*z^248 + 15038541*w^152*z^248 + 8541774*w^10*z^252 + 
  7689384*w^12*z^252 + 3963330*w^14*z^252 + 2025972*w^16*z^252 + 
  1184076*w^18*z^252 + 656910*w^20*z^252 + 360936*w^22*z^252 + 
  205902*w^24*z^252 + 121662*w^26*z^252 + 69984*w^28*z^252 + 
  36936*w^30*z^252 + 17658*w^32*z^252 + 7128*w^34*z^252 + 2448*w^36*z^252 + 
  648*w^38*z^252 + 162*w^40*z^252 + 18*w^54*z^252 + 18*w^72*z^252 + 
  18*w^90*z^252 + 18*w^108*z^252 + 162*w^122*z^252 + 648*w^124*z^252 + 
  2448*w^126*z^252 + 7128*w^128*z^252 + 17658*w^130*z^252 + 
  36936*w^132*z^252 + 69984*w^134*z^252 + 121662*w^136*z^252 + 
  205902*w^138*z^252 + 360936*w^140*z^252 + 656910*w^142*z^252 + 
  1184076*w^144*z^252 + 2025972*w^146*z^252 + 3963330*w^148*z^252 + 
  7689384*w^150*z^252 + 8541774*w^152*z^252 + 1213380*w^8*z^256 + 
  1866159*w^10*z^256 + 752004*w^12*z^256 + 367416*w^14*z^256 + 
  189621*w^16*z^256 + 83106*w^18*z^256 + 43902*w^20*z^256 + 
  25110*w^22*z^256 + 12231*w^24*z^256 + 5508*w^26*z^256 + 1782*w^28*z^256 + 
  486*w^30*z^256 + 81*w^32*z^256 + 81*w^130*z^256 + 486*w^132*z^256 + 
  1782*w^134*z^256 + 5508*w^136*z^256 + 12231*w^138*z^256 + 
  25110*w^140*z^256 + 43902*w^142*z^256 + 83106*w^144*z^256 + 
  189621*w^146*z^256 + 367416*w^148*z^256 + 752004*w^150*z^256 + 
  1866159*w^152*z^256 + 1213380*w^154*z^256 + 403218*w^8*z^260 + 
  164430*w^10*z^260 + 68040*w^12*z^260 + 24138*w^14*z^260 + 
  10854*w^16*z^260 + 5832*w^18*z^260 + 2430*w^20*z^260 + 648*w^22*z^260 + 
  162*w^24*z^260 + 162*w^138*z^260 + 648*w^140*z^260 + 2430*w^142*z^260 + 
  5832*w^144*z^260 + 10854*w^146*z^260 + 24138*w^148*z^260 + 
  68040*w^150*z^260 + 164430*w^152*z^260 + 403218*w^154*z^260 + 
  73008*w^6*z^264 + 45603*w^8*z^264 + 10044*w^10*z^264 + 3240*w^12*z^264 + 
  1782*w^14*z^264 + 486*w^16*z^264 + 81*w^18*z^264 + 81*w^144*z^264 + 
  486*w^146*z^264 + 1782*w^148*z^264 + 3240*w^150*z^264 + 10044*w^152*z^264 + 
  45603*w^154*z^264 + 73008*w^156*z^264 + 11826*w^6*z^268 + 1458*w^8*z^268 + 
  648*w^10*z^268 + 162*w^12*z^268 + 162*w^150*z^268 + 648*w^152*z^268 + 
  1458*w^154*z^268 + 11826*w^156*z^268 + 3078*w^4*z^272 + 486*w^6*z^272 + 
  81*w^8*z^272 + 81*w^154*z^272 + 486*w^156*z^272 + 3078*w^158*z^272 + 
  162*w^4*z^276 + 162*w^158*z^276 + 81*w^2*z^280 + 81*w^160*z^280 + z^288 + 
  w^162*z^288)/(w^81*z^126)  :

L:=[P11,P22,P33,P44,P55,P66,P77,P88,P99]: