A_L109031 := (1*M^96) + (L^1)*(-6*M^84 + 29*M^86 - 46*M^88 - 3*M^90 + 93*M^92 - 51*M^94 - 24*M^96 + 39*M^98 - 17*M^100 + 3*M^102) + (L^2)*(15*M^72 - 134*M^74 + 442*M^76 - 455*M^78 - 608*M^80 + 1641*M^82 - 527*M^84 - 1482*M^86 + 1471*M^88 + 262*M^90 - 592*M^92 + 150*M^94 - 277*M^96 + 275*M^98 + 86*M^100 - 227*M^102 + 123*M^104 - 30*M^106 + 3*M^108) + (L^3)*(-20*M^60 + 246*M^62 - 1170*M^64 + 2354*M^66 - 216*M^68 - 6827*M^70 + 7703*M^72 + 7100*M^74 - 15624*M^76 - 4513*M^78 + 18742*M^80 + 4977*M^82 - 20344*M^84 - 3333*M^86 + 21323*M^88 - 3411*M^90 - 14545*M^92 + 8042*M^94 + 3730*M^96 - 5137*M^98 + 1490*M^100 + 579*M^102 - 813*M^104 + 528*M^106 - 243*M^108 + 74*M^110 - 13*M^112 + 1*M^114) + (L^4)*(15*M^48 - 224*M^50 + 1337*M^52 - 3816*M^54 + 3773*M^56 + 6479*M^58 - 17919*M^60 - 1419*M^62 + 36447*M^64 - 1281*M^66 - 72788*M^68 - 573*M^70 + 150644*M^72 - 30651*M^74 - 241337*M^76 + 117992*M^78 + 266045*M^80 - 200565*M^82 - 188296*M^84 + 204880*M^86 + 78747*M^88 - 135264*M^90 - 14107*M^92 + 62013*M^94 - 2851*M^96 - 23494*M^98 + 4784*M^100 + 7855*M^102 - 4223*M^104 - 989*M^106 + 1872*M^108 - 910*M^110 + 235*M^112 - 33*M^114 + 2*M^116) + (L^5)*(-6*M^36 + 101*M^38 - 702*M^40 + 2517*M^42 - 4375*M^44 + 972*M^46 + 7308*M^48 - 1190*M^50 - 16213*M^52 - 27829*M^54 + 104034*M^56 + 62202*M^58 - 387082*M^60 + 41781*M^62 + 865542*M^64 - 434800*M^66 - 1319379*M^68 + 1044108*M^70 + 1453259*M^72 - 1549609*M^74 - 1170811*M^76 + 1678528*M^78 + 665413*M^80 - 1400092*M^82 - 190318*M^84 + 908009*M^86 - 91020*M^88 - 431711*M^90 + 156406*M^92 + 119742*M^94 - 94824*M^96 + 4186*M^98 + 22376*M^100 - 14701*M^102 + 4377*M^104 + 1784*M^106 - 3237*M^108 + 2032*M^110 - 729*M^112 + 157*M^114 - 19*M^116 + 1*M^118) + (L^6)*(1*M^24 - 18*M^26 + 139*M^28 - 591*M^30 + 1502*M^32 - 2601*M^34 + 4931*M^36 - 10809*M^38 + 5351*M^40 + 51823*M^42 - 112493*M^44 - 61692*M^46 + 438039*M^48 - 172367*M^50 - 1000897*M^52 + 930324*M^54 + 1590106*M^56 - 2294399*M^58 - 1815733*M^60 + 3907203*M^62 + 1395515*M^64 - 5074466*M^66 - 434493*M^68 + 5181375*M^70 - 572728*M^72 - 4109135*M^74 + 1128037*M^76 + 2428791*M^78 - 1024805*M^80 - 947348*M^82 + 507340*M^84 + 155903*M^86 - 21214*M^88 + 17364*M^90 - 167190*M^92 + 47970*M^94 + 117169*M^96 - 79127*M^98 - 22395*M^100 + 41474*M^102 - 11081*M^104 - 7067*M^106 + 6739*M^108 - 2546*M^110 + 533*M^112 - 61*M^114 + 3*M^116) + (L^7)*(3*M^18 - 60*M^20 + 520*M^22 - 2474*M^24 + 6510*M^26 - 6645*M^28 - 10542*M^30 + 33208*M^32 + 5225*M^34 - 101922*M^36 + 27460*M^38 + 268894*M^40 - 111726*M^42 - 687634*M^44 + 361531*M^46 + 1540836*M^48 - 984119*M^50 - 2858216*M^52 + 2107878*M^54 + 4365132*M^56 - 3497351*M^58 - 5627332*M^60 + 4594209*M^62 + 6315526*M^64 - 4982161*M^66 - 6289343*M^68 + 4773927*M^70 + 5606078*M^72 - 4260933*M^74 - 4338818*M^76 + 3617217*M^78 + 2739931*M^80 - 2818360*M^82 - 1245229*M^84 + 1879060*M^86 + 245405*M^88 - 983256*M^90 + 160533*M^92 + 355009*M^94 - 176931*M^96 - 55866*M^98 + 74126*M^100 - 14756*M^102 - 11822*M^104 + 9355*M^106 - 3178*M^108 + 611*M^110 - 65*M^112 + 3*M^114) + (L^8)*(3*M^12 - 65*M^14 + 615*M^16 - 3231*M^18 + 9585*M^20 - 11869*M^22 - 17202*M^24 + 78849*M^26 - 42318*M^28 - 235646*M^30 + 379718*M^32 + 366744*M^34 - 1285653*M^36 - 87086*M^38 + 2895477*M^40 - 1158767*M^42 - 4853408*M^44 + 3555326*M^46 + 6399693*M^48 - 6473484*M^50 - 6911720*M^52 + 8732600*M^54 + 6381043*M^56 - 9472248*M^58 - 5295544*M^60 + 8708059*M^62 + 4161233*M^64 - 7045607*M^66 - 3090501*M^68 + 5269686*M^70 + 2068033*M^72 - 3781847*M^74 - 1085658*M^76 + 2585912*M^78 + 260705*M^80 - 1566263*M^82 + 227157*M^84 + 737429*M^86 - 328225*M^88 - 212969*M^90 + 207104*M^92 - 2621*M^94 - 66314*M^96 + 28796*M^98 + 5209*M^100 - 10280*M^102 + 5041*M^104 - 1395*M^106 + 236*M^108 - 23*M^110 + 1*M^112) + (L^9)*(1*M^6 - 23*M^8 + 236*M^10 - 1395*M^12 + 5041*M^14 - 10280*M^16 + 5209*M^18 + 28796*M^20 - 66314*M^22 - 2621*M^24 + 207104*M^26 - 212969*M^28 - 328225*M^30 + 737429*M^32 + 227157*M^34 - 1566263*M^36 + 260705*M^38 + 2585912*M^40 - 1085658*M^42 - 3781847*M^44 + 2068033*M^46 + 5269686*M^48 - 3090501*M^50 - 7045607*M^52 + 4161233*M^54 + 8708059*M^56 - 5295544*M^58 - 9472248*M^60 + 6381043*M^62 + 8732600*M^64 - 6911720*M^66 - 6473484*M^68 + 6399693*M^70 + 3555326*M^72 - 4853408*M^74 - 1158767*M^76 + 2895477*M^78 - 87086*M^80 - 1285653*M^82 + 366744*M^84 + 379718*M^86 - 235646*M^88 - 42318*M^90 + 78849*M^92 - 17202*M^94 - 11869*M^96 + 9585*M^98 - 3231*M^100 + 615*M^102 - 65*M^104 + 3*M^106) + (L^10)*(3*M^4 - 65*M^6 + 611*M^8 - 3178*M^10 + 9355*M^12 - 11822*M^14 - 14756*M^16 + 74126*M^18 - 55866*M^20 - 176931*M^22 + 355009*M^24 + 160533*M^26 - 983256*M^28 + 245405*M^30 + 1879060*M^32 - 1245229*M^34 - 2818360*M^36 + 2739931*M^38 + 3617217*M^40 - 4338818*M^42 - 4260933*M^44 + 5606078*M^46 + 4773927*M^48 - 6289343*M^50 - 4982161*M^52 + 6315526*M^54 + 4594209*M^56 - 5627332*M^58 - 3497351*M^60 + 4365132*M^62 + 2107878*M^64 - 2858216*M^66 - 984119*M^68 + 1540836*M^70 + 361531*M^72 - 687634*M^74 - 111726*M^76 + 268894*M^78 + 27460*M^80 - 101922*M^82 + 5225*M^84 + 33208*M^86 - 10542*M^88 - 6645*M^90 + 6510*M^92 - 2474*M^94 + 520*M^96 - 60*M^98 + 3*M^100) + (L^11)*(3*M^2 - 61*M^4 + 533*M^6 - 2546*M^8 + 6739*M^10 - 7067*M^12 - 11081*M^14 + 41474*M^16 - 22395*M^18 - 79127*M^20 + 117169*M^22 + 47970*M^24 - 167190*M^26 + 17364*M^28 - 21214*M^30 + 155903*M^32 + 507340*M^34 - 947348*M^36 - 1024805*M^38 + 2428791*M^40 + 1128037*M^42 - 4109135*M^44 - 572728*M^46 + 5181375*M^48 - 434493*M^50 - 5074466*M^52 + 1395515*M^54 + 3907203*M^56 - 1815733*M^58 - 2294399*M^60 + 1590106*M^62 + 930324*M^64 - 1000897*M^66 - 172367*M^68 + 438039*M^70 - 61692*M^72 - 112493*M^74 + 51823*M^76 + 5351*M^78 - 10809*M^80 + 4931*M^82 - 2601*M^84 + 1502*M^86 - 591*M^88 + 139*M^90 - 18*M^92 + 1*M^94) + (L^12)*(1 - 19*M^2 + 157*M^4 - 729*M^6 + 2032*M^8 - 3237*M^10 + 1784*M^12 + 4377*M^14 - 14701*M^16 + 22376*M^18 + 4186*M^20 - 94824*M^22 + 119742*M^24 + 156406*M^26 - 431711*M^28 - 91020*M^30 + 908009*M^32 - 190318*M^34 - 1400092*M^36 + 665413*M^38 + 1678528*M^40 - 1170811*M^42 - 1549609*M^44 + 1453259*M^46 + 1044108*M^48 - 1319379*M^50 - 434800*M^52 + 865542*M^54 + 41781*M^56 - 387082*M^58 + 62202*M^60 + 104034*M^62 - 27829*M^64 - 16213*M^66 - 1190*M^68 + 7308*M^70 + 972*M^72 - 4375*M^74 + 2517*M^76 - 702*M^78 + 101*M^80 - 6*M^82) + (L^13)*(2*M^2 - 33*M^4 + 235*M^6 - 910*M^8 + 1872*M^10 - 989*M^12 - 4223*M^14 + 7855*M^16 + 4784*M^18 - 23494*M^20 - 2851*M^22 + 62013*M^24 - 14107*M^26 - 135264*M^28 + 78747*M^30 + 204880*M^32 - 188296*M^34 - 200565*M^36 + 266045*M^38 + 117992*M^40 - 241337*M^42 - 30651*M^44 + 150644*M^46 - 573*M^48 - 72788*M^50 - 1281*M^52 + 36447*M^54 - 1419*M^56 - 17919*M^58 + 6479*M^60 + 3773*M^62 - 3816*M^64 + 1337*M^66 - 224*M^68 + 15*M^70) + (L^14)*(1*M^4 - 13*M^6 + 74*M^8 - 243*M^10 + 528*M^12 - 813*M^14 + 579*M^16 + 1490*M^18 - 5137*M^20 + 3730*M^22 + 8042*M^24 - 14545*M^26 - 3411*M^28 + 21323*M^30 - 3333*M^32 - 20344*M^34 + 4977*M^36 + 18742*M^38 - 4513*M^40 - 15624*M^42 + 7100*M^44 + 7703*M^46 - 6827*M^48 - 216*M^50 + 2354*M^52 - 1170*M^54 + 246*M^56 - 20*M^58) + (L^15)*(3*M^10 - 30*M^12 + 123*M^14 - 227*M^16 + 86*M^18 + 275*M^20 - 277*M^22 + 150*M^24 - 592*M^26 + 262*M^28 + 1471*M^30 - 1482*M^32 - 527*M^34 + 1641*M^36 - 608*M^38 - 455*M^40 + 442*M^42 - 134*M^44 + 15*M^46) + (L^16)*(3*M^16 - 17*M^18 + 39*M^20 - 24*M^22 - 51*M^24 + 93*M^26 - 3*M^28 - 46*M^30 + 29*M^32 - 6*M^34) + (L^17)*(1*M^22);