% This input file was written with the Bertini.m2 Macaulay2 package.

CONFIG

TrackType : 0 ; 
UseRegeneration : 1 ; 
ODEPredictor : 2 ; 
TrackTolBeforeEG : 1e-7 ; 
TrackTolDuringEG : 1e-7 ; 
FinalTol : 1e-10 ; 
SliceTolBeforeEG : 1e-7 ; 
SliceTolDuringEG : 1e-7 ; 
SliceFinalTol : 1e-10 ; 
MaxNorm : 1e8 ; 
SecurityMaxNorm : 1e8 ; 
SampleFactor : .1 ; 
AMPSafetyDigits1 : -2 ; 
AMPSafetyDigits2 : -2 ; 

%%%ENDCONFIG;
END;

INPUT

variable_group k_1, k_2, k_3, k_4, lam_1, lam_2, lam_3, t ; 




constant ii; 
ii = I; 

function jade0, jade1, jade2, jade3, jade4, jade5, jade6, jade7 ; 

g_0 = .550008+.213553*ii ; 

g_1 = .240012+.223642*ii ; 

g_2 = .321266+.900468*ii ; 

g_3 = .880347+.157416*ii ; 

g_4 = .983287+.76255*ii ; 

g_5 = .986201+.039372*ii ; 

g_6 = .46494+.514728*ii ; 

g_7 = .152957+.245601*ii ; 

g_8 = .308322+.448451*ii ; 

g_9 = .526294+.817784*ii ; 

g_10 = .618277+.277899*ii ; 

g_11 = .301464+.0137891*ii ; 

g_12 = .601004+.2102*ii ; 

g_13 = .713181+.634449*ii ; 

g_14 = .815711+.243811*ii ; 

g_15 = .545708+.464509*ii ; 

g_16 = .664679+.131596*ii ; 

g_17 = .0393469+.0571572*ii ; 

g_18 = .51734+.330732*ii ; 

g_19 = .206747+.143771*ii ; 

h_0 = .823553+.855517*ii ; 

h_1 = .0608765+.10167*ii ; 

h_2 = .427188+.983037*ii ; 

h_3 = .741662+.590053*ii ; 

h_4 = .815189+.127251*ii ; 

h_5 = .895822+.169095*ii ; 

h_6 = .398737+.681941*ii ; 

h_7 = .854956+.537314*ii ; 

h_8 = .466074+.394762*ii ; 

h_9 = .197687+.91018*ii ; 

h_10 = .0259817+.279283*ii ; 

h_11 = .555206+.850479*ii ; 

h_12 = .637962+.280159*ii ; 

h_13 = .10524+.855143*ii ; 

h_14 = .419434+.757515*ii ; 

h_15 = .673378+.033995*ii ; 

h_16 = .242564+.160008*ii ; 

h_17 = .622508+.329234*ii ; 

h_18 = .318905+.425878*ii ; 

h_19 = .254711+.397452*ii ; 

u_0 = t*g_0+h_0 ; 

u_1 = t*g_1+h_1 ; 

u_2 = t*g_2+h_2 ; 

u_3 = t*g_3+h_3 ; 

u_4 = t*g_4+h_4 ; 

u_5 = t*g_5+h_5 ; 

u_6 = t*g_6+h_6 ; 

u_7 = t*g_7+h_7 ; 

u_8 = t*g_8+h_8 ; 

u_9 = t*g_9+h_9 ; 

u_10 = t*g_10+h_10 ; 

u_11 = t*g_11+h_11 ; 

u_12 = t*g_12+h_12 ; 

u_13 = t*g_13+h_13 ; 

u_14 = t*g_14+h_14 ; 

u_15 = t*g_15+h_15 ; 

u_16 = t*g_16+h_16 ; 

u_17 = t*g_17+h_17 ; 

u_18 = t*g_18+h_18 ; 

u_19 = t*g_19+h_19 ; 

lam_4 = (.014273+.0933593*ii)*lam_1+(.121945+.000276491*ii)*lam_2+(.279081+.887503*ii)*lam_3+.377768+.795597*ii ; 


jade0 = u_0+u_2*k_1+u_3*k_3+u_7*k_1^2+u_8*k_1*k_3+u_9*k_3^2+u_16*k_1^3+u_17*k_1^2*k_3+u_18*k_1*k_3^2+u_19*k_3^3 ; 

jade1 = u_1+u_2*k_2+u_3*k_4+u_5*k_1+u_6*k_3+2*u_7*k_1*k_2+u_8*k_2*k_3+u_8*k_1*k_4+2*u_9*k_3*k_4+u_13*k_1^2+u_14*k_1*k_3+u_15*k_3^2+3*u_16*k_1^2*k_2+2*u_17*k_1*k_2*k_3+u_17*k_1^2*k_4+u_18*k_2*k_3^2+2*u_18*k_1*k_3*k_4+3*u_19*k_3^2*k_4 ; 

jade2 = u_4+u_5*k_2+u_6*k_4+u_7*k_2^2+u_8*k_2*k_4+u_9*k_4^2+u_11*k_1+u_12*k_3+2*u_13*k_1*k_2+u_14*k_2*k_3+u_14*k_1*k_4+2*u_15*k_3*k_4+3*u_16*k_1*k_2^2+u_17*k_2^2*k_3+2*u_17*k_1*k_2*k_4+2*u_18*k_2*k_3*k_4+u_18*k_1*k_4^2+3*u_19*k_3*k_4^2 ; 

jade3 = u_10+u_11*k_2+u_12*k_4+u_13*k_2^2+u_14*k_2*k_4+u_15*k_4^2+u_16*k_2^3+u_17*k_2^2*k_4+u_18*k_2*k_4^2+u_19*k_4^3 ; 

jade4 = u_2*lam_1+u_3*lam_3+2*u_7*k_1*lam_1+u_8*k_1*lam_3+u_8*k_3*lam_1+2*u_9*k_3*lam_3+3*u_16*k_1^2*lam_1+u_17*k_1^2*lam_3+2*u_17*k_1*k_3*lam_1+2*u_18*k_1*k_3*lam_3+u_18*k_3^2*lam_1+3*u_19*k_3^2*lam_3 ; 

jade5 = u_2*lam_2+u_3*lam_4+u_5*lam_1+u_6*lam_3+2*u_7*k_1*lam_2+2*u_7*k_2*lam_1+u_8*k_1*lam_4+u_8*k_2*lam_3+u_8*k_3*lam_2+u_8*k_4*lam_1+2*u_9*k_3*lam_4+2*u_9*k_4*lam_3+2*u_13*k_1*lam_1+u_14*k_1*lam_3+u_14*k_3*lam_1+2*u_15*k_3*lam_3+3*u_16*k_1^2*lam_2+6*u_16*k_1*k_2*lam_1+u_17*k_1^2*lam_4+2*u_17*k_1*k_2*lam_3+2*u_17*k_1*k_3*lam_2+2*u_17*k_2*k_3*lam_1+2*u_17*k_1*k_4*lam_1+2*u_18*k_1*k_3*lam_4+2*u_18*k_2*k_3*lam_3+u_18*k_3^2*lam_2+2*u_18*k_1*k_4*lam_3+2*u_18*k_3*k_4*lam_1+3*u_19*k_3^2*lam_4+6*u_19*k_3*k_4*lam_3 ; 

jade6 = u_5*lam_2+u_6*lam_4+2*u_7*k_2*lam_2+u_8*k_2*lam_4+u_8*k_4*lam_2+2*u_9*k_4*lam_4+u_11*lam_1+u_12*lam_3+2*u_13*k_1*lam_2+2*u_13*k_2*lam_1+u_14*k_1*lam_4+u_14*k_2*lam_3+u_14*k_3*lam_2+u_14*k_4*lam_1+2*u_15*k_3*lam_4+2*u_15*k_4*lam_3+6*u_16*k_1*k_2*lam_2+3*u_16*k_2^2*lam_1+2*u_17*k_1*k_2*lam_4+u_17*k_2^2*lam_3+2*u_17*k_2*k_3*lam_2+2*u_17*k_1*k_4*lam_2+2*u_17*k_2*k_4*lam_1+2*u_18*k_2*k_3*lam_4+2*u_18*k_1*k_4*lam_4+2*u_18*k_2*k_4*lam_3+2*u_18*k_3*k_4*lam_2+u_18*k_4^2*lam_1+6*u_19*k_3*k_4*lam_4+3*u_19*k_4^2*lam_3 ; 

jade7 = u_11*lam_2+u_12*lam_4+2*u_13*k_2*lam_2+u_14*k_2*lam_4+u_14*k_4*lam_2+2*u_15*k_4*lam_4+3*u_16*k_2^2*lam_2+u_17*k_2^2*lam_4+2*u_17*k_2*k_4*lam_2+2*u_18*k_2*k_4*lam_4+u_18*k_4^2*lam_2+3*u_19*k_4^2*lam_4 ; 


END;