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

CONFIG

PARAMETERHOMOTOPY : 2 ; 
MPTYPE : 1 ; 

%%%ENDCONFIG;
END;

INPUT

variable_group x1, x2, x3 ; 


parameter T ; 


constant ii; 
ii = I; 

function jade0, jade1, jade2 ; 

u11 = (.12837219374803+.584363822569407*ii)*T+.966454458051006+.864086252004053*ii ; 

u12 = (.948337068942711+.504288964999133*ii)*T+.250556549639806+.117822383344476*ii ; 

u13 = (.308568254203716+.798050135594426*ii)*T+.753493537501403+.535204377450741*ii ; 

u14 = (.909005645580904+.609898458943189*ii)*T+.537491605833472+.277464348693103*ii ; 

u22 = (.707930484132809+.564582015058263*ii)*T+.605915264402976+.779170705443665*ii ; 

u23 = (.0463195808868035+.251016454753021*ii)*T+.166874897434297+.44430315628367*ii ; 

u24 = (.970023527303244+.988468046759287*ii)*T+.581755655158689+.140235421002923*ii ; 

u33 = (.766226629266365+.295838718739114*ii)*T+.0453704182971028+.138155530171881*ii ; 

u34 = (.0195948408647294+.888392433354839*ii)*T+.575115539948859+.270993153713979*ii ; 

u21 = u12 ; 

u31 = u13 ; 

u41 = u14 ; 

u32 = u23 ; 

u42 = u24 ; 

u43 = u34 ; 

x4 = 0 ; 


jade0 = u12^2*x1-u12^2*x2+u13^2*x1-u13^2*x3+u14^2*x1-u14^2*x4-3*x1^3+3*x1^2*x2-3*x1*x2^2+x2^3+3*x1^2*x3-3*x1*x3^2+x3^3+3*x1^2*x4-3*x1*x4^2+x4^3 ; 

jade1 = -u21^2*x1+u21^2*x2+u23^2*x2-u23^2*x3+u24^2*x2-u24^2*x4+x1^3-3*x1^2*x2+3*x1*x2^2-3*x2^3+3*x2^2*x3-3*x2*x3^2+x3^3+3*x2^2*x4-3*x2*x4^2+x4^3 ; 

jade2 = -u31^2*x1+u31^2*x3-u32^2*x2+u32^2*x3+u34^2*x3-u34^2*x4+x1^3+x2^3-3*x1^2*x3-3*x2^2*x3+3*x1*x3^2+3*x2*x3^2-3*x3^3+3*x3^2*x4-3*x3*x4^2+x4^3 ; 


END;