W_{4,126}=1 + alpha*y^42 + (1379511969092656875 - 42*alpha)*y^44 + (-9508636123195182750 + 861*alpha)*y^46 + (626450295137651814375 - 11480*alpha)*y^48 + (3884500996837545684600 + 111930*alpha)*y^50 + (158862129130908042666750 - 850668*alpha)*y^52 + (2146662537796716807829500 + 5245786*alpha)*y^54 + (35029690206277087849873950 - 26978328*alpha)*y^56 + (447287240719910108786499000 + 118030185*alpha)*y^58 + (5231964614982182441387914275 - 445891810*alpha)*y^60 + (53243275278752186791041128250 + 1471442973*alpha)*y^62 + (479681095542733808322342368625 - 4280561376*alpha)*y^64 + (3804655824743774671284926709600 + 11058116888*alpha)*y^66 + (26608747521574827840241510101000 - 25518731280*alpha)*y^68 + (163910614649804808425954788078800 + 52860229080*alpha)*y^70 + (888821874989551078299921000573000 - 98672427616*alpha)*y^72 + (4238092795073373562591880531532000 + 166509721602*alpha)*y^74 + (17746482724363182500952966893398230 - 254661927156*alpha)*y^76 + (65153134436974798921304986953526500 + 353697121050*alpha)*y^78 + (209314798363658246728922199011969550 - 446775310800*alpha)*y^80 + (587102432740322531530966974221562000 + 513791607420*alpha)*y^82 + (1433904272014730887162068482328700500 - 538257874440*alpha)*y^84 + (3040033933853092343606979674130935400 + 513791607420*alpha)*y^86 + (5574983900621911208013326789928748500 - 446775310800*alpha)*y^88 + (8807221726179536563595823898893344400 + 353697121050*alpha)*y^90 + (11929514400323511001253612125080486750 - 254661927156*alpha)*y^92 + (13779940092844437324928042959641494500 + 166509721602*alpha)*y^94 + (13489836099000987341997564117924077550 - 98672427616*alpha)*y^96 + (11111447150740302600030178171572684000 + 52860229080*alpha)*y^98 + (7636594589226930262969611548040941640 - 25518731280*alpha)*y^100 + (4336447130491061439130672002946338000 + 11058116888*alpha)*y^102 + (2011152851724713710404715612463637000 - 4280561376*alpha)*y^104 + (751336348274003694636156271184143200 + 1471442973*alpha)*y^106 + (222358109333628059092701160326633375 - 445891810*alpha)*y^108 + (51073747540269294779377761168286650 + 118030185*alpha)*y^110 + (8873817142003399807390984152328875 - 26978328*alpha)*y^112 + (1128342840723541945336299730083000 + 5245786*alpha)*y^114 + (100485104610208642328983204576350 - 850668*alpha)*y^116 + (5895475491711394076139534613500 + 111930*alpha)*y^118 + (208075606283308191752044655550 - 11480*alpha)*y^120 + (3805745356145013853669083000 + 861*alpha)*y^122 + (26948632002602080741401375 - 42*alpha)*y^124 + (30798380444582044155618 + alpha)*y^126