for loop output is wrong

I am trying to find the value of

But the answer of my loop is not same as numerically evaluated value. And the code is

clc; clear all; close all;
syms z m1 m2 s1 s2 j1 j2 
X =0; 
lambda = 1060*10^-9;
wo = 0.02;
C = 10^(-7);
k=2*pi/lambda

k = 5.9275e+06

b=0.1;
z=1

z = 1

T1=0;
T2=0;
T3=0;
T4=0;
T5=0;
T6=0;
M=1;
po=(0.545*C^2*k^2*z)^(-(3/5));
delta= ((1i*k)/(2*z));

for m1 =0:M
    
    for m2=0:M
        
        for s1=0:m1/2
            
            for j1=0:m1-2*s1
                
                for s2=0:(M-m1)/2
                    
                    for j2=0:(M-m1-2*s2)
                        T6=T6+(1/(po^2))^j2;
                    end
                    T5=T5+T6*((2*1i)/(delta^(0.5)))^(M-m1-2*s2);
                end
                T4=T4+T5*(1/(po^2))^j1;
            end
            T3=T3+T4*((2*1i)/(delta^(0.5)))^(m1-2*s1);
        end
        T2=T2+T3*(factorial(M)/(factorial(m2)*factorial(M-m2)));
    end
    T1=T1+T2*(factorial(M)/(factorial(m1)*factorial(M-m1)));
end
X=T1

X = 0.0439 + 0.0439i

Answer 1

[Abolfazl Chaman Motlagh]

you are adding previous calculated numbers in nested loops. you should set T2,T3,... and T6 to zero before counting them for next step if you don't want to double count them. like this :

for m1 =0:M
    T2=0;
    for m2=0:M
        T3=0;
        for s1=0:m1/2
            T4=0
            for j1=0:m1-2*s1
                T5=0
                for s2=0:(M-m1)/2
                    T6=0;
                    for j2=0:(M-m1-2*s2)
                        T6=T6+(1/(po^2))^j2;
                    end
                    T5=T5+T6*((2*1i)/(delta^(0.5)))^(M-m1-2*s2);
                end
                T4=T4+T5*(1/(po^2))^j1;
            end
            T3=T3+T4*((2*1i)/(delta^(0.5)))^(m1-2*s1);
        end
        T2=T2+T3*(factorial(M)/(factorial(m2)*factorial(M-m2)));
    end
    T1=T1+T2*(factorial(M)/(factorial(m1)*factorial(M-m1)));
end

if you have problem undestanding why, just look at T6 and think why you should set it to zero in every new T5 loop. the rest is similar.