dx1:X1 = [-1.0e8,0]
dx2:X2 = [-1.0e8,0]
dx3:X3 = [-1.0e8,0]
dx4:X4 = [-1.0e8,0]
dx5:X5 = [-1.0e8,0]
dx6:X6 = [-1.0e8,0]
dx7:X7 = [-1.0e8,0]
dx8:X8 = [-1.0e8,0]
dx9:X9 = [-1.0e8,0]
dx10:X10 = [-1.0e8,0]
dx11:X11 = [-1.0e8,0]
dx12:X12 = [-1.0e8,0]
dx13:X13 = [-1.0e8,0]
dx14:X14 = [-1.0e8,0]
dx15:X15 = [-1.0e8,0]
dx16:X16 = [-1.0e8,0]
dx17:X17 = [-1.0e8,0]
dx18:X18 = [-1.0e8,0]
dx19:X19 = [-1.0e8,0]
dx20:X20 = [-1.0e8,0]

c1:X1+   (20/18522)*(X1+(1/22))^3+   (40/18522)*(X2+(2/23))^3+(60/18522)*(X3+(3/24))^3+(80/18522)*(X4+(4/25))^3+(100/18522)*(X5+(5/26))^3+(120/18522)*(X6+(6/27))^3+(140/18522)*(X7+(7/28))^3+(160/18522)*(X8+(8/29))^3+(180/18522)*(X9+(9/30))^3+(200/18522)*(X10+(10/31))^3+(220/18522)*(X11+(11/32))^3+(240/18522)*(X12+(12/33))^3+(260/18522)*(X13+(13/34))^3+(280/18522)*(X14+(14/35))^3+(300/18522)*(X15+(15/36))^3+(320/18522)*(X16+(16/37))^3+(340/18522)*(X17+(17/38))^3+(360/18522)*(X18+(18/39))^3+(380/18522)*(X19+(19/40))^3+(400/18522)*(X20+(20/41))^3   = 0
c2:X2+   (19/18522)*(X1+(1/22))^3+(38/18522)*(X2+(2/23))^3+   (57/18522)*(X3+(3/24))^3+(76/18522)*(X4+(4/25))^3+(95/18522)*(X5+(5/26))^3+(114/18522)*(X6+(6/27))^3+(133/18522)*(X7+(7/28))^3+(152/18522)*(X8+(8/29))^3+(171/18522)*(X9+(9/30))^3+(190/18522)*(X10+(10/31))^3+(209/18522)*(X11+(11/32))^3+(228/18522)*(X12+(12/33))^3+(247/18522)*(X13+(13/34))^3+(266/18522)*(X14+(14/35))^3+(285/18522)*(X15+(15/36))^3+(304/18522)*(X16+(16/37))^3+(323/18522)*(X17+(17/38))^3+(342/18522)*(X18+(18/39))^3+(361/18522)*(X19+(19/40))^3+(380/18522)*(X20+(20/41))^3   = 0
c3:X3+   (18/18522)*(X1+(1/22))^3+(36/18522)*(X2+(2/23))^3+(54/18522)*(X3+(3/24))^3+   (72/18522)*(X4+(4/25))^3+(90/18522)*(X5+(5/26))^3+(108/18522)*(X6+(6/27))^3+(126/18522)*(X7+(7/28))^3+(144/18522)*(X8+(8/29))^3+(162/18522)*(X9+(9/30))^3+(180/18522)*(X10+(10/31))^3+(198/18522)*(X11+(11/32))^3+(216/18522)*(X12+(12/33))^3+(234/18522)*(X13+(13/34))^3+(252/18522)*(X14+(14/35))^3+(270/18522)*(X15+(15/36))^3+(288/18522)*(X16+(16/37))^3+(306/18522)*(X17+(17/38))^3+(324/18522)*(X18+(18/39))^3+(342/18522)*(X19+(19/40))^3+(360/18522)*(X20+(20/41))^3   = 0
c4:X4+   (17/18522)*(X1+(1/22))^3+(34/18522)*(X2+(2/23))^3+(51/18522)*(X3+(3/24))^3+(68/18522)*(X4+(4/25))^3+   (85/18522)*(X5+(5/26))^3+(102/18522)*(X6+(6/27))^3+(119/18522)*(X7+(7/28))^3+(136/18522)*(X8+(8/29))^3+(153/18522)*(X9+(9/30))^3+(170/18522)*(X10+(10/31))^3+(187/18522)*(X11+(11/32))^3+(204/18522)*(X12+(12/33))^3+(221/18522)*(X13+(13/34))^3+(238/18522)*(X14+(14/35))^3+(255/18522)*(X15+(15/36))^3+(272/18522)*(X16+(16/37))^3+(289/18522)*(X17+(17/38))^3+(306/18522)*(X18+(18/39))^3+(323/18522)*(X19+(19/40))^3+(340/18522)*(X20+(20/41))^3   = 0
c5:X5+   (16/18522)*(X1+(1/22))^3+(32/18522)*(X2+(2/23))^3+(48/18522)*(X3+(3/24))^3+(64/18522)*(X4+(4/25))^3+(80/18522)*(X5+(5/26))^3+   (96/18522)*(X6+(6/27))^3+(112/18522)*(X7+(7/28))^3+(128/18522)*(X8+(8/29))^3+(144/18522)*(X9+(9/30))^3+(160/18522)*(X10+(10/31))^3+(176/18522)*(X11+(11/32))^3+(192/18522)*(X12+(12/33))^3+(208/18522)*(X13+(13/34))^3+(224/18522)*(X14+(14/35))^3+(240/18522)*(X15+(15/36))^3+(256/18522)*(X16+(16/37))^3+(272/18522)*(X17+(17/38))^3+(288/18522)*(X18+(18/39))^3+(304/18522)*(X19+(19/40))^3+(320/18522)*(X20+(20/41))^3   = 0
c6:X6+   (15/18522)*(X1+(1/22))^3+(30/18522)*(X2+(2/23))^3+(45/18522)*(X3+(3/24))^3+(60/18522)*(X4+(4/25))^3+(75/18522)*(X5+(5/26))^3+(90/18522)*(X6+(6/27))^3+   (105/18522)*(X7+(7/28))^3+(120/18522)*(X8+(8/29))^3+(135/18522)*(X9+(9/30))^3+(150/18522)*(X10+(10/31))^3+(165/18522)*(X11+(11/32))^3+(180/18522)*(X12+(12/33))^3+(195/18522)*(X13+(13/34))^3+(210/18522)*(X14+(14/35))^3+(225/18522)*(X15+(15/36))^3+(240/18522)*(X16+(16/37))^3+(255/18522)*(X17+(17/38))^3+(270/18522)*(X18+(18/39))^3+(285/18522)*(X19+(19/40))^3+(300/18522)*(X20+(20/41))^3   = 0
c7:X7+   (14/18522)*(X1+(1/22))^3+(28/18522)*(X2+(2/23))^3+(42/18522)*(X3+(3/24))^3+(56/18522)*(X4+(4/25))^3+(70/18522)*(X5+(5/26))^3+(84/18522)*(X6+(6/27))^3+(98/18522)*(X7+(7/28))^3+   (112/18522)*(X8+(8/29))^3+(126/18522)*(X9+(9/30))^3+(140/18522)*(X10+(10/31))^3+(154/18522)*(X11+(11/32))^3+(168/18522)*(X12+(12/33))^3+(182/18522)*(X13+(13/34))^3+(196/18522)*(X14+(14/35))^3+(210/18522)*(X15+(15/36))^3+(224/18522)*(X16+(16/37))^3+(238/18522)*(X17+(17/38))^3+(252/18522)*(X18+(18/39))^3+(266/18522)*(X19+(19/40))^3+(280/18522)*(X20+(20/41))^3   = 0
c8:X8+   (13/18522)*(X1+(1/22))^3+(26/18522)*(X2+(2/23))^3+(39/18522)*(X3+(3/24))^3+(52/18522)*(X4+(4/25))^3+(65/18522)*(X5+(5/26))^3+(78/18522)*(X6+(6/27))^3+(91/18522)*(X7+(7/28))^3+(104/18522)*(X8+(8/29))^3+   (117/18522)*(X9+(9/30))^3+(130/18522)*(X10+(10/31))^3+(143/18522)*(X11+(11/32))^3+(156/18522)*(X12+(12/33))^3+(169/18522)*(X13+(13/34))^3+(182/18522)*(X14+(14/35))^3+(195/18522)*(X15+(15/36))^3+(208/18522)*(X16+(16/37))^3+(221/18522)*(X17+(17/38))^3+(234/18522)*(X18+(18/39))^3+(247/18522)*(X19+(19/40))^3+(260/18522)*(X20+(20/41))^3   = 0
c9:X9+   (12/18522)*(X1+(1/22))^3+(24/18522)*(X2+(2/23))^3+(36/18522)*(X3+(3/24))^3+(48/18522)*(X4+(4/25))^3+(60/18522)*(X5+(5/26))^3+(72/18522)*(X6+(6/27))^3+(84/18522)*(X7+(7/28))^3+(96/18522)*(X8+(8/29))^3+(108/18522)*(X9+(9/30))^3+   (120/18522)*(X10+(10/31))^3+(132/18522)*(X11+(11/32))^3+(144/18522)*(X12+(12/33))^3+(156/18522)*(X13+(13/34))^3+(168/18522)*(X14+(14/35))^3+(180/18522)*(X15+(15/36))^3+(192/18522)*(X16+(16/37))^3+(204/18522)*(X17+(17/38))^3+(216/18522)*(X18+(18/39))^3+(228/18522)*(X19+(19/40))^3+(240/18522)*(X20+(20/41))^3   = 0
c10:X10+   (11/18522)*(X1+(1/22))^3+(22/18522)*(X2+(2/23))^3+(33/18522)*(X3+(3/24))^3+(44/18522)*(X4+(4/25))^3+(55/18522)*(X5+(5/26))^3+(66/18522)*(X6+(6/27))^3+(77/18522)*(X7+(7/28))^3+(88/18522)*(X8+(8/29))^3+(99/18522)*(X9+(9/30))^3+(110/18522)*(X10+(10/31))^3+   (121/18522)*(X11+(11/32))^3+(132/18522)*(X12+(12/33))^3+(143/18522)*(X13+(13/34))^3+(154/18522)*(X14+(14/35))^3+(165/18522)*(X15+(15/36))^3+(176/18522)*(X16+(16/37))^3+(187/18522)*(X17+(17/38))^3+(198/18522)*(X18+(18/39))^3+(209/18522)*(X19+(19/40))^3+(220/18522)*(X20+(20/41))^3   = 0
c11:X11+   (10/18522)*(X1+(1/22))^3+(20/18522)*(X2+(2/23))^3+(30/18522)*(X3+(3/24))^3+(40/18522)*(X4+(4/25))^3+(50/18522)*(X5+(5/26))^3+(60/18522)*(X6+(6/27))^3+(70/18522)*(X7+(7/28))^3+(80/18522)*(X8+(8/29))^3+(90/18522)*(X9+(9/30))^3+(100/18522)*(X10+(10/31))^3+(110/18522)*(X11+(11/32))^3+   (120/18522)*(X12+(12/33))^3+(130/18522)*(X13+(13/34))^3+(140/18522)*(X14+(14/35))^3+(150/18522)*(X15+(15/36))^3+(160/18522)*(X16+(16/37))^3+(170/18522)*(X17+(17/38))^3+(180/18522)*(X18+(18/39))^3+(190/18522)*(X19+(19/40))^3+(200/18522)*(X20+(20/41))^3   = 0
c12:X12+   (9/18522)*(X1+(1/22))^3+(18/18522)*(X2+(2/23))^3+(27/18522)*(X3+(3/24))^3+(36/18522)*(X4+(4/25))^3+(45/18522)*(X5+(5/26))^3+(54/18522)*(X6+(6/27))^3+(63/18522)*(X7+(7/28))^3+(72/18522)*(X8+(8/29))^3+(81/18522)*(X9+(9/30))^3+(90/18522)*(X10+(10/31))^3+(99/18522)*(X11+(11/32))^3+(108/18522)*(X12+(12/33))^3+   (117/18522)*(X13+(13/34))^3+(126/18522)*(X14+(14/35))^3+(135/18522)*(X15+(15/36))^3+(144/18522)*(X16+(16/37))^3+(153/18522)*(X17+(17/38))^3+(162/18522)*(X18+(18/39))^3+(171/18522)*(X19+(19/40))^3+(180/18522)*(X20+(20/41))^3   = 0
c13:X13+   (8/18522)*(X1+(1/22))^3+(16/18522)*(X2+(2/23))^3+(24/18522)*(X3+(3/24))^3+(32/18522)*(X4+(4/25))^3+(40/18522)*(X5+(5/26))^3+(48/18522)*(X6+(6/27))^3+(56/18522)*(X7+(7/28))^3+(64/18522)*(X8+(8/29))^3+(72/18522)*(X9+(9/30))^3+(80/18522)*(X10+(10/31))^3+(88/18522)*(X11+(11/32))^3+(96/18522)*(X12+(12/33))^3+(104/18522)*(X13+(13/34))^3+   (112/18522)*(X14+(14/35))^3+(120/18522)*(X15+(15/36))^3+(128/18522)*(X16+(16/37))^3+(136/18522)*(X17+(17/38))^3+(144/18522)*(X18+(18/39))^3+(152/18522)*(X19+(19/40))^3+(160/18522)*(X20+(20/41))^3   = 0
c14:X14+   (7/18522)*(X1+(1/22))^3+(14/18522)*(X2+(2/23))^3+(21/18522)*(X3+(3/24))^3+(28/18522)*(X4+(4/25))^3+(35/18522)*(X5+(5/26))^3+(42/18522)*(X6+(6/27))^3+(49/18522)*(X7+(7/28))^3+(56/18522)*(X8+(8/29))^3+(63/18522)*(X9+(9/30))^3+(70/18522)*(X10+(10/31))^3+(77/18522)*(X11+(11/32))^3+(84/18522)*(X12+(12/33))^3+(91/18522)*(X13+(13/34))^3+(98/18522)*(X14+(14/35))^3+   (105/18522)*(X15+(15/36))^3+(112/18522)*(X16+(16/37))^3+(119/18522)*(X17+(17/38))^3+(126/18522)*(X18+(18/39))^3+(133/18522)*(X19+(19/40))^3+(140/18522)*(X20+(20/41))^3   = 0
c15:X15+   (6/18522)*(X1+(1/22))^3+(12/18522)*(X2+(2/23))^3+(18/18522)*(X3+(3/24))^3+(24/18522)*(X4+(4/25))^3+(30/18522)*(X5+(5/26))^3+(36/18522)*(X6+(6/27))^3+(42/18522)*(X7+(7/28))^3+(48/18522)*(X8+(8/29))^3+(54/18522)*(X9+(9/30))^3+(60/18522)*(X10+(10/31))^3+(66/18522)*(X11+(11/32))^3+(72/18522)*(X12+(12/33))^3+(78/18522)*(X13+(13/34))^3+(84/18522)*(X14+(14/35))^3+(90/18522)*(X15+(15/36))^3+   (96/18522)*(X16+(16/37))^3+(102/18522)*(X17+(17/38))^3+(108/18522)*(X18+(18/39))^3+(114/18522)*(X19+(19/40))^3+(120/18522)*(X20+(20/41))^3   = 0
c16:X16+   (5/18522)*(X1+(1/22))^3+(10/18522)*(X2+(2/23))^3+(15/18522)*(X3+(3/24))^3+(20/18522)*(X4+(4/25))^3+(25/18522)*(X5+(5/26))^3+(30/18522)*(X6+(6/27))^3+(35/18522)*(X7+(7/28))^3+(40/18522)*(X8+(8/29))^3+(45/18522)*(X9+(9/30))^3+(50/18522)*(X10+(10/31))^3+(55/18522)*(X11+(11/32))^3+(60/18522)*(X12+(12/33))^3+(65/18522)*(X13+(13/34))^3+(70/18522)*(X14+(14/35))^3+(75/18522)*(X15+(15/36))^3+(80/18522)*(X16+(16/37))^3+   (85/18522)*(X17+(17/38))^3+(90/18522)*(X18+(18/39))^3+(95/18522)*(X19+(19/40))^3+(100/18522)*(X20+(20/41))^3   = 0
c17:X17+   (4/18522)*(X1+(1/22))^3+(8/18522)*(X2+(2/23))^3+(12/18522)*(X3+(3/24))^3+(16/18522)*(X4+(4/25))^3+(20/18522)*(X5+(5/26))^3+(24/18522)*(X6+(6/27))^3+(28/18522)*(X7+(7/28))^3+(32/18522)*(X8+(8/29))^3+(36/18522)*(X9+(9/30))^3+(40/18522)*(X10+(10/31))^3+(44/18522)*(X11+(11/32))^3+(48/18522)*(X12+(12/33))^3+(52/18522)*(X13+(13/34))^3+(56/18522)*(X14+(14/35))^3+(60/18522)*(X15+(15/36))^3+(64/18522)*(X16+(16/37))^3+(68/18522)*(X17+(17/38))^3+   (72/18522)*(X18+(18/39))^3+(76/18522)*(X19+(19/40))^3+(80/18522)*(X20+(20/41))^3   = 0
c18:X18+   (3/18522)*(X1+(1/22))^3+(6/18522)*(X2+(2/23))^3+(9/18522)*(X3+(3/24))^3+(12/18522)*(X4+(4/25))^3+(15/18522)*(X5+(5/26))^3+(18/18522)*(X6+(6/27))^3+(21/18522)*(X7+(7/28))^3+(24/18522)*(X8+(8/29))^3+(27/18522)*(X9+(9/30))^3+(30/18522)*(X10+(10/31))^3+(33/18522)*(X11+(11/32))^3+(36/18522)*(X12+(12/33))^3+(39/18522)*(X13+(13/34))^3+(42/18522)*(X14+(14/35))^3+(45/18522)*(X15+(15/36))^3+(48/18522)*(X16+(16/37))^3+(51/18522)*(X17+(17/38))^3+(54/18522)*(X18+(18/39))^3+   (57/18522)*(X19+(19/40))^3+(60/18522)*(X20+(20/41))^3   = 0
c19:X19+   (2/18522)*(X1+(1/22))^3+(4/18522)*(X2+(2/23))^3+(6/18522)*(X3+(3/24))^3+(8/18522)*(X4+(4/25))^3+(10/18522)*(X5+(5/26))^3+(12/18522)*(X6+(6/27))^3+(14/18522)*(X7+(7/28))^3+(16/18522)*(X8+(8/29))^3+(18/18522)*(X9+(9/30))^3+(20/18522)*(X10+(10/31))^3+(22/18522)*(X11+(11/32))^3+(24/18522)*(X12+(12/33))^3+(26/18522)*(X13+(13/34))^3+(28/18522)*(X14+(14/35))^3+(30/18522)*(X15+(15/36))^3+(32/18522)*(X16+(16/37))^3+(34/18522)*(X17+(17/38))^3+(36/18522)*(X18+(18/39))^3+(38/18522)*(X19+(19/40))^3+   (40/18522)*(X20+(20/41))^3   = 0
c20:X20+   (1/18522)*(X1+(1/22))^3+(2/18522)*(X2+(2/23))^3+(3/18522)*(X3+(3/24))^3+(4/18522)*(X4+(4/25))^3+(5/18522)*(X5+(5/26))^3+(6/18522)*(X6+(6/27))^3+(7/18522)*(X7+(7/28))^3+(8/18522)*(X8+(8/29))^3+(9/18522)*(X9+(9/30))^3+(10/18522)*(X10+(10/31))^3+(11/18522)*(X11+(11/32))^3+(12/18522)*(X12+(12/33))^3+(13/18522)*(X13+(13/34))^3+(14/18522)*(X14+(14/35))^3+(15/18522)*(X15+(15/36))^3+(16/18522)*(X16+(16/37))^3+(17/18522)*(X17+(17/38))^3+(18/18522)*(X18+(18/39))^3+(19/18522)*(X19+(19/40))^3+(20/18522)*(X20+(20/41))^3   = 0
