/*******************************************
14/11/2008
Found equation of a Humbert component of discriminant 24 (degree 48)
Used a different method - converted level 2 Satake equation into Rosenhain.

Relatively quick, but VERY memory intensive!
*****************************************/

h24:=
e1^24*e2^12*e3^12 - 12*e1^24*e2^12*e3^11 + 66*e1^24*e2^12*e3^10 - 220*e1^24*e2^12*e3^9 + 495*e1^24*e2^12*e3^8 - 792*e1^24*e2^12*e3^7 + 924*e1^24*e2^12*e3^6 - 792*e1^24*e2^12*e3^5 + 495*e1^24*e2^12*e3^4 - 220*e1^24*e2^12*e3^3 + 66*e1^24*e2^12*e3^2 - 12*e1^24*e2^12*e3 + e1^24*e2^12 - 12*e1^23*e2^13*e3^12 - 14288*e1^23*e2^13*e3^11 - 151384*e1^23*e2^13*e3^10 + 663920*e1^23*e2^13*e3^9 - 240180*e1^23*e2^13*e3^8 - 2234784*e1^23*e2^13*e3^7 + 3953456*e1^23*e2^13*e3^6 - 2234784*e1^23*e2^13*e3^5 - 240180*e1^23*e2^13*e3^4 + 663920*e1^23*e2^13*e3^3 - 151384*e1^23*e2^13*e3^2 - 14288*e1^23*e2^13*e3 - 12*e1^23*e2^13 + 21600*e1^23*e2^12*e3^12 + 460960*e1^23*e2^12*e3^11 - 685792*e1^23*e2^12*e3^10 - 4241440*e1^23*e2^12*e3^9 + 11905472*e1^23*e2^12*e3^8 - 7460800*e1^23*e2^12*e3^7 - 7460800*e1^23*e2^12*e3^6 + 11905472*e1^23*e2^12*e3^5 - 4241440*e1^23*e2^12*e3^4 - 685792*e1^23*e2^12*e3^3 + 460960*e1^23*e2^12*e3^2 + 21600*e1^23*e2^12*e3 - 7180*e1^23*e2^11*e3^13 - 397264*e1^23*e2^11*e3^12 - 1210200*e1^23*e2^11*e3^11 + 8661360*e1^23*e2^11*e3^10 - 7147060*e1^23*e2^11*e3^9 - 19810720*e1^23*e2^11*e3^8 + 39822128*e1^23*e2^11*e3^7 - 19810720*e1^23*e2^11*e3^6 - 7147060*e1^23*e2^11*e3^5 + 8661360*e1^23*e2^11*e3^4 - 1210200*e1^23*e2^11*e3^3 - 397264*e1^23*e2^11*e3^2 - 7180*e1^23*e2^11*e3 + 87040*e1^23*e2^10*e3^13 + 1510400*e1^23*e2^10*e3^12 - 2524160*e1^23*e2^10*e3^11 - 13081600*e1^23*e2^10*e3^10 + 37980160*e1^23*e2^10*e3^9 - 23971840*e1^23*e2^10*e3^8 - 23971840*e1^23*e2^10*e3^7 + 37980160*e1^23*e2^10*e3^6 - 13081600*e1^23*e2^10*e3^5 - 2524160*e1^23*e2^10*e3^4 + 1510400*e1^23*e2^10*e3^3 + 87040*e1^23*e2^10*e3^2 - 276480*e1^23*e2^9*e3^13 - 1986560*e1^23*e2^9*e3^12 + 9840640*e1^23*e2^9*e3^11 - 5488640*e1^23*e2^9*e3^10 - 27914240*e1^23*e2^9*e3^9 + 51650560*e1^23*e2^9*e3^8 - 27914240*e1^23*e2^9*e3^7 - 5488640*e1^23*e2^9*e3^6 + 9840640*e1^23*e2^9*e3^5 - 1986560*e1^23*e2^9*e3^4 - 276480*e1^23*e2^9*e3^3 + 327680*e1^23*e2^8*e3^13 + 851968*e1^23*e2^8*e3^12 - 9175040*e1^23*e2^8*e3^11 + 19136512*e1^23*e2^8*e3^10 - 11141120*e1^23*e2^8*e3^9 - 11141120*e1^23*e2^8*e3^8 + 19136512*e1^23*e2^8*e3^7 - 9175040*e1^23*e2^8*e3^6 + 851968*e1^23*e2^8*e3^5 + 327680*e1^23*e2^8*e3^4 - 131072*e1^23*e2^7*e3^13 + 2621440*e1^23*e2^7*e3^11 - 8388608*e1^23*e2^7*e3^10 + 11796480*e1^23*e2^7*e3^9 - 8388608*e1^23*e2^7*e3^8 + 2621440*e1^23*e2^7*e3^7 - 131072*e1^23*e2^7*e3^5 + 66*e1^22*e2^14*e3^12 - 151384*e1^22*e2^14*e3^11 + 12196484*e1^22*e2^14*e3^10 - 77076472*e1^22*e2^14*e3^9 + 259645854*e1^22*e2^14*e3^8 - 536256688*e1^22*e2^14*e3^7 + 683284280*e1^22*e2^14*e3^6 - 536256688*e1^22*e2^14*e3^5 + 259645854*e1^22*e2^14*e3^4 - 77076472*e1^22*e2^14*e3^3 + 12196484*e1^22*e2^14*e3^2 - 151384*e1^22*e2^14*e3 + 66*e1^22*e2^14 + 460960*e1^22*e2^13*e3^12 - 38824864*e1^22*e2^13*e3^11 + 64356320*e1^22*e2^13*e3^10 - 426630880*e1^22*e2^13*e3^9 + 1275088960*e1^22*e2^13*e3^8 - 874450496*e1^22*e2^13*e3^7 - 874450496*e1^22*e2^13*e3^6 + 1275088960*e1^22*e2^13*e3^5 - 426630880*e1^22*e2^13*e3^4 + 64356320*e1^22*e2^13*e3^3 - 38824864*e1^22*e2^13*e3^2 + 460960*e1^22*e2^13*e3 - 397264*e1^22*e2^12*e3^13 + 53383872*e1^22*e2^12*e3^12 + 466220128*e1^22*e2^12*e3^11 + 1133590464*e1^22*e2^12*e3^10 - 3855258416*e1^22*e2^12*e3^9 - 3561097856*e1^22*e2^12*e3^8 + 11527118144*e1^22*e2^12*e3^7 - 3561097856*e1^22*e2^12*e3^6 - 3855258416*e1^22*e2^12*e3^5 + 1133590464*e1^22*e2^12*e3^4 + 466220128*e1^22*e2^12*e3^3 + 53383872*e1^22*e2^12*e3^2 - 397264*e1^22*e2^12*e3 + 87040*e1^22*e2^11*e3^14 - 39907168*e1^22*e2^11*e3^13 - 1125676960*e1^22*e2^11*e3^12 - 5735324704*e1^22*e2^11*e3^11 + 5210722592*e1^22*e2^11*e3^10 + 30633329728*e1^22*e2^11*e3^9 - 28943230528*e1^22*e2^11*e3^8 - 28943230528*e1^22*e2^11*e3^7 + 30633329728*e1^22*e2^11*e3^6 + 5210722592*e1^22*e2^11*e3^5 - 5735324704*e1^22*e2^11*e3^4 - 1125676960*e1^22*e2^11*e3^3 - 39907168*e1^22*e2^11*e3^2 + 87040*e1^22*e2^11*e3 + 13154370*e1^22*e2^10*e3^14 + 985059496*e1^22*e2^10*e3^13 + 11350313604*e1^22*e2^10*e3^12 + 14143752200*e1^22*e2^10*e3^11 - 76686317154*e1^22*e2^10*e3^10 - 27253563568*e1^22*e2^10*e3^9 + 154895202104*e1^22*e2^10*e3^8 - 27253563568*e1^22*e2^10*e3^7 - 76686317154*e1^22*e2^10*e3^6 + 14143752200*e1^22*e2^10*e3^5 + 11350313604*e1^22*e2^10*e3^4 + 985059496*e1^22*e2^10*e3^3 + 13154370*e1^22*e2^10*e3^2 - 312888320*e1^22*e2^9*e3^14 - 9467876352*e1^22*e2^9*e3^13 - 44834579456*e1^22*e2^9*e3^12 + 50858836992*e1^22*e2^9*e3^11 + 215803054080*e1^22*e2^9*e3^10 - 212046546944*e1^22*e2^9*e3^9 - 212046546944*e1^22*e2^9*e3^8 + 215803054080*e1^22*e2^9*e3^7 + 50858836992*e1^22*e2^9*e3^6 - 44834579456*e1^22*e2^9*e3^5 - 9467876352*e1^22*e2^9*e3^4 - 312888320*e1^22*e2^9*e3^3 + 2886287360*e1^22*e2^8*e3^14 + 41804988416*e1^22*e2^8*e3^13 + 57872498688*e1^22*e2^8*e3^12 - 289475002368*e1^22*e2^8*e3^11 - 103989477376*e1^22*e2^8*e3^10 + 581801410560*e1^22*e2^8*e3^9 - 103989477376*e1^22*e2^8*e3^8 - 289475002368*e1^22*e2^8*e3^7 + 57872498688*e1^22*e2^8*e3^6 + 41804988416*e1^22*e2^8*e3^5 + 2886287360*e1^22*e2^8*e3^4 - 13208453120*e1^22*e2^7*e3^14 - 92767584256*e1^22*e2^7*e3^13 + 75567464448*e1^22*e2^7*e3^12 + 461987643392*e1^22*e2^7*e3^11 - 431579070464*e1^22*e2^7*e3^10 - 431579070464*e1^22*e2^7*e3^9 + 461987643392*e1^22*e2^7*e3^8 + 75567464448*e1^22*e2^7*e3^7 - 92767584256*e1^22*e2^7*e3^6 - 13208453120*e1^22*e2^7*e3^5 + 33841479680*e1^22*e2^6*e3^14 + 95187632128*e1^22*e2^6*e3^13 - 307323994112*e1^22*e2^6*e3^12 - 168856387584*e1^22*e2^6*e3^11 + 694302539776*e1^22*e2^6*e3^10 - 168856387584*e1^22*e2^6*e3^9 - 307323994112*e1^22*e2^6*e3^8 + 95187632128*e1^22*e2^6*e3^7 + 33841479680*e1^22*e2^6*e3^6 - 51002736640*e1^22*e2^5*e3^14 - 7516192768*e1^22*e2^5*e3^13 + 328564998144*e1^22*e2^5*e3^12 - 270046068736*e1^22*e2^5*e3^11 - 270046068736*e1^22*e2^5*e3^10 + 328564998144*e1^22*e2^5*e3^9 - 7516192768*e1^22*e2^5*e3^8 - 51002736640*e1^22*e2^5*e3^7 + 44962938880*e1^22*e2^4*e3^14 - 75430363136*e1^22*e2^4*e3^13 - 102944997376*e1^22*e2^4*e3^12 + 266824843264*e1^22*e2^4*e3^11 - 102944997376*e1^22*e2^4*e3^10 - 75430363136*e1^22*e2^4*e3^9 + 44962938880*e1^22*e2^4*e3^8 - 21474836480*e1^22*e2^3*e3^14 + 64424509440*e1^22*e2^3*e3^13 - 42949672960*e1^22*e2^3*e3^12 - 42949672960*e1^22*e2^3*e3^11 + 64424509440*e1^22*e2^3*e3^10 - 21474836480*e1^22*e2^3*e3^9 + 4294967296*e1^22*e2^2*e3^14 - 17179869184*e1^22*e2^2*e3^13 + 25769803776*e1^22*e2^2*e3^12 - 17179869184*e1^22*e2^2*e3^11 + 4294967296*e1^22*e2^2*e3^10 - 220*e1^21*e2^15*e3^12 + 663920*e1^21*e2^15*e3^11 - 77076472*e1^21*e2^15*e3^10 + 268258736*e1^21*e2^15*e3^9 - 294133860*e1^21*e2^15*e3^8 - 289595168*e1^21*e2^15*e3^7 + 783766128*e1^21*e2^15*e3^6 - 289595168*e1^21*e2^15*e3^5 - 294133860*e1^21*e2^15*e3^4 + 268258736*e1^21*e2^15*e3^3 - 77076472*e1^21*e2^15*e3^2 + 663920*e1^21*e2^15*e3 - 220*e1^21*e2^15 - 685792*e1^21*e2^14*e3^12 + 64356320*e1^21*e2^14*e3^11 + 5474533728*e1^21*e2^14*e3^10 - 26351076448*e1^21*e2^14*e3^9 + 46914927936*e1^21*e2^14*e3^8 - 26102055744*e1^21*e2^14*e3^7 - 26102055744*e1^21*e2^14*e3^6 + 46914927936*e1^21*e2^14*e3^5 - 26351076448*e1^21*e2^14*e3^4 + 5474533728*e1^21*e2^14*e3^3 + 64356320*e1^21*e2^14*e3^2 - 685792*e1^21*e2^14*e3 - 1210200*e1^21*e2^13*e3^13 + 466220128*e1^21*e2^13*e3^12 - 26163443504*e1^21*e2^13*e3^11 + 68489365216*e1^21*e2^13*e3^10 + 58144448216*e1^21*e2^13*e3^9 - 454058515264*e1^21*e2^13*e3^8 + 706246270816*e1^21*e2^13*e3^7 - 454058515264*e1^21*e2^13*e3^6 + 58144448216*e1^21*e2^13*e3^5 + 68489365216*e1^21*e2^13*e3^4 - 26163443504*e1^21*e2^13*e3^3 + 466220128*e1^21*e2^13*e3^2 - 1210200*e1^21*e2^13*e3 + 1510400*e1^21*e2^12*e3^14 - 1125676960*e1^21*e2^12*e3^13 + 41410790560*e1^21*e2^12*e3^12 + 44977358112*e1^21*e2^12*e3^11 - 764376435744*e1^21*e2^12*e3^10 + 1642116816320*e1^21*e2^12*e3^9 - 963004362688*e1^21*e2^12*e3^8 - 963004362688*e1^21*e2^12*e3^7 + 1642116816320*e1^21*e2^12*e3^6 - 764376435744*e1^21*e2^12*e3^5 + 44977358112*e1^21*e2^12*e3^4 + 41410790560*e1^21*e2^12*e3^3 - 1125676960*e1^21*e2^12*e3^2 + 1510400*e1^21*e2^12*e3 - 276480*e1^21*e2^11*e3^15 + 985059496*e1^21*e2^11*e3^14 - 24764246944*e1^21*e2^11*e3^13 - 286152095536*e1^21*e2^11*e3^12 + 1253985531616*e1^21*e2^11*e3^11 - 634847144232*e1^21*e2^11*e3^10 - 3640761545536*e1^21*e2^11*e3^9 + 6663109435232*e1^21*e2^11*e3^8 - 3640761545536*e1^21*e2^11*e3^7 - 634847144232*e1^21*e2^11*e3^6 + 1253985531616*e1^21*e2^11*e3^5 - 286152095536*e1^21*e2^11*e3^4 - 24764246944*e1^21*e2^11*e3^3 + 985059496*e1^21*e2^11*e3^2 - 276480*e1^21*e2^11*e3 - 312888320*e1^21*e2^10*e3^15 + 940658976*e1^21*e2^10*e3^14 + 298075116512*e1^21*e2^10*e3^13 - 389150767776*e1^21*e2^10*e3^12 - 3051454321760*e1^21*e2^10*e3^11 + 8534800044352*e1^21*e2^10*e3^10 - 5392897841984*e1^21*e2^10*e3^9 - 5392897841984*e1^21*e2^10*e3^8 + 8534800044352*e1^21*e2^10*e3^7 - 3051454321760*e1^21*e2^10*e3^6 - 389150767776*e1^21*e2^10*e3^5 + 298075116512*e1^21*e2^10*e3^4 + 940658976*e1^21*e2^10*e3^3 - 312888320*e1^21*e2^10*e3^2 + 2833453860*e1^21*e2^9*e3^15 - 99788609168*e1^21*e2^9*e3^14 - 536197603320*e1^21*e2^9*e3^13 + 3729383896496*e1^21*e2^9*e3^12 - 3376652399716*e1^21*e2^9*e3^11 - 9142344372000*e1^21*e2^9*e3^10 + 18845531267696*e1^21*e2^9*e3^9 - 9142344372000*e1^21*e2^9*e3^8 - 3376652399716*e1^21*e2^9*e3^7 + 3729383896496*e1^21*e2^9*e3^6 - 536197603320*e1^21*e2^9*e3^5 - 99788609168*e1^21*e2^9*e3^4 + 2833453860*e1^21*e2^9*e3^3 + 1044090880*e1^21*e2^8*e3^15 + 370611056640*e1^21*e2^8*e3^14 - 991967531008*e1^21*e2^8*e3^13 - 4151402770432*e1^21*e2^8*e3^12 + 14700347695104*e1^21*e2^8*e3^11 - 9928632541184*e1^21*e2^8*e3^10 - 9928632541184*e1^21*e2^8*e3^9 + 14700347695104*e1^21*e2^8*e3^8 - 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;