\(\(equations1 = 
      equations /. {u[1, \ 1] -> 0, u[1, \ 3] -> 0, u[1, \ 4] -> 0, 
          u[1, \ 5] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[1, \ 7] -> 0, u[1, \ 9] -> 0, u[1, \ 10] -> 0, u[1, \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ 13] -> 0, 
          u[1, \ 14] -> 0, u[1, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ 18] -> 0, 
          u[1, \ 19] -> 0, u[1, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ 25] -> 0, 
          u[1, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[1, \ conjugate[3]] -> 0, u[1, \ conjugate[4]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ conjugate[5]] -> 0, 
          u[1, \ conjugate[7]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[1, \ conjugate[9]] -> 0, u[1, \ conjugate[10]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ conjugate[11]] -> 0, 
          u[1, \ conjugate[13]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[1, \ conjugate[14]] -> 0, u[1, \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ conjugate[16]] -> 0, 
          u[1, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[1, \ conjugate[19]] -> 0, u[1, \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[1, \ conjugate[22]] -> 0, 
          u[1, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[1, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[3, \ 3] -> 0, u[3, \ 4] -> 0, u[3, \ 5] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ 7] -> 0, u[3, \ 9] -> 0, 
          u[3, \ 10] -> 0, u[3, \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ 13] -> 0, 
          u[3, \ 14] -> 0, u[3, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ 18] -> 0, 
          u[3, \ 19] -> 0, u[3, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ 25] -> 0, 
          u[3, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[3, \ conjugate[4]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[3, \ conjugate[5]] -> 0, u[3, \ conjugate[7]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ conjugate[9]] -> 0, 
          u[3, \ conjugate[10]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[3, \ conjugate[11]] -> 0, u[3, \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ conjugate[14]] -> 0, 
          u[3, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[3, \ conjugate[16]] -> 0, u[3, \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ conjugate[19]] -> 0, 
          u[3, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[3, \ conjugate[22]] -> 0, u[3, \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[3, \ conjugate[27]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 4] -> 0, u[4, \ 5] -> 0, 
          
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 7] -> 0, 
          u[4, \ 9] -> 0, u[4, \ 10] -> 0, u[4, \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 13] -> 0, 
          u[4, \ 14] -> 0, u[4, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 18] -> 0, 
          u[4, \ 19] -> 0, u[4, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ 25] -> 0, 
          u[4, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[4, \ conjugate[5]] -> 0, u[4, \ conjugate[7]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ conjugate[9]] -> 0, 
          u[4, \ conjugate[10]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[4, \ conjugate[11]] -> 0, u[4, \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ conjugate[14]] -> 0, 
          u[4, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[4, \ conjugate[16]] -> 0, u[4, \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ conjugate[19]] -> 0, 
          u[4, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[4, \ conjugate[22]] -> 0, u[4, \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[4, \ conjugate[27]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 5] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 7] -> 0, u[5, \ 9] -> 0, 
          u[5, \ 10] -> 0, u[5, \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 13] -> 0, 
          u[5, \ 14] -> 0, u[5, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 18] -> 0, 
          u[5, \ 19] -> 0, u[5, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ 25] -> 0, 
          u[5, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[5, \ conjugate[7]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[5, \ conjugate[9]] -> 0, u[5, \ conjugate[10]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ conjugate[11]] -> 0, 
          u[5, \ conjugate[13]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[5, \ conjugate[14]] -> 0, u[5, \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ conjugate[16]] -> 0, 
          u[5, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[5, \ conjugate[19]] -> 0, u[5, \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[5, \ conjugate[22]] -> 0, 
          u[5, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[5, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[7, \ 7] -> 0, u[7, \ 9] -> 0, u[7, \ 10] -> 0, u[7, \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ 13] -> 0, 
          u[7, \ 14] -> 0, u[7, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ 18] -> 0, 
          u[7, \ 19] -> 0, u[7, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ 25] -> 0, 
          u[7, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[7, \ conjugate[9]] -> 0, u[7, \ conjugate[10]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ conjugate[11]] -> 0, 
          u[7, \ conjugate[13]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[7, \ conjugate[14]] -> 0, u[7, \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ conjugate[16]] -> 0, 
          u[7, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[7, \ conjugate[19]] -> 0, u[7, \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[7, \ conjugate[22]] -> 0, 
          u[7, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[7, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[9, \ 9] -> 0, u[9, \ 10] -> 0, u[9, \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ 13] -> 0, 
          u[9, \ 14] -> 0, u[9, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ 18] -> 0, 
          u[9, \ 19] -> 0, u[9, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ 25] -> 0, 
          u[9, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[9, \ conjugate[10]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[9, \ conjugate[11]] -> 0, u[9, \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ conjugate[14]] -> 0, 
          u[9, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[9, \ conjugate[16]] -> 0, u[9, \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ conjugate[19]] -> 0, 
          u[9, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[9, \ conjugate[22]] -> 0, u[9, \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[9, \ conjugate[27]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[10, \ 10] -> 0, 
          u[10, \ 11] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ 13] -> 0, u[10, \ 14] -> 0, u[10, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[10, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[10, \ 18] -> 0, 
          u[10, \ 19] -> 0, u[10, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[10, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[10, \ 25] -> 0, 
          u[10, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[11]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[13]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[14]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[16]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[10, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ 11] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ 13] -> 0, u[11, \ 14] -> 0, u[11, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[11, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[11, \ 18] -> 0, 
          u[11, \ 19] -> 0, u[11, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[11, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[11, \ 25] -> 0, 
          u[11, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[13]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[14]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[16]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[11, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ 13] -> 0, u[13, \ 14] -> 0, u[13, \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[13, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[13, \ 18] -> 0, 
          u[13, \ 19] -> 0, u[13, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[13, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[13, \ 25] -> 0, 
          u[13, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[14]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[16]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[13, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ 14] -> 0, u[14, \ 15] -> 0, u[14, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[14, \ 18] -> 0, 
          u[14, \ 19] -> 0, u[14, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[14, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[14, \ 25] -> 0, 
          u[14, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[15]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[16]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[14, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ 15] -> 0, u[15, \ 16] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[15, \ 18] -> 0, 
          u[15, \ 19] -> 0, u[15, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[15, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[15, \ 25] -> 0, 
          u[15, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[16]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[15, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ 16] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ 18] -> 0, u[16, \ 19] -> 0, u[16, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[16, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[16, \ 25] -> 0, 
          u[16, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ conjugate[18]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[16, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[18, \ 18] -> 0, u[18, \ 19] -> 0, u[18, \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[18, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[18, \ 25] -> 0, 
          u[18, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[18, \ conjugate[19]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[18, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[18, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[18, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[18, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[19, \ 19] -> 0, u[19, \ 20] -> 0, u[19, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[19, \ 25] -> 0, 
          u[19, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[19, \ conjugate[20]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[19, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[19, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[19, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[20, \ 20] -> 0, u[20, \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[20, \ 25] -> 0, 
          u[20, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[20, \ conjugate[22]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[20, \ conjugate[25]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[20, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[22, \ 22] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[22, \ 25] -> 0, u[22, \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[22, \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[22, \ conjugate[27]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[25, \ 25] -> 0, 
          u[25, \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[25, \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[27, \ 27] -> 0}; \)\)

\(\(\ \(equations2 = 
      equations1
         /. {u[conjugate[1], \ conjugate[1]] -> 0, 
          u[conjugate[1], \ conjugate[3]] -> 0, 
          u[conjugate[1], \ conjugate[4]] -> 0, 
          u[conjugate[1], \ conjugate[5]] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[1], \ conjugate[7]] -> 0, 
          u[conjugate[1], \ conjugate[9]] -> 0, 
          u[conjugate[1], \ conjugate[10]] -> 0, 
          u[conjugate[1], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[1], \ conjugate[13]] -> 0, 
          u[conjugate[1], \ conjugate[14]] -> 0, 
          u[conjugate[1], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[1], conjugate[\ 16]] -> 0, 
          
\ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[1], \ conjugate[18]] -> 0, 
          u[conjugate[1], \ conjugate[19]] -> 0, 
          u[conjugate[1], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[1], \ conjugate[22]] -> 0, 
          
\ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[1], \ conjugate[25]] -> 0, 
          u[conjugate[1], \ conjugate[27]] -> 0, 
\ \ \ \ \ \ \ 
          u[conjugate[1], \ 3] -> 0, u[conjugate[1], \ 4] -> 0, 

          \ \ \ \ \ \ \ u[conjugate[1], \ 5] -> 0, u[conjugate[1], \ 7] -> 0, 
          
\ \ \ \ \ \ \ \ u[conjugate[1], \ 9] -> 0, 
          u[conjugate[1], \ 10] -> 0, 
\ \ \ \ \ \ \ \ 
          u[conjugate[1], \ 11] -> 0, u[conjugate[1], \ 13] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[1], \ 14] -> 0, 
          u[conjugate[1], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[1], \ 16] -> 0, u[conjugate[1], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[1], \ 19] -> 0, 
          u[conjugate[1], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[1], \ 22] -> 0, u[conjugate[1], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[1], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ u[conjugate[3], \ conjugate[3]] -> 0, \ \ 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[3], \ conjugate[4]] -> 0, \ 
          
			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[3], \ conjugate[5]] -> 0, 
          
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ conjugate[7]] -> 0, 
          u[conjugate[3], \ conjugate[9]] -> 0, 
          u[conjugate[3], \ conjugate[10]] -> 0, 
          u[conjugate[3], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ conjugate[13]] -> 0, 
          u[conjugate[3], \ conjugate[14]] -> 0, 
          u[conjugate[3], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ conjugate[18]] -> 0, 
          u[conjugate[3], \ conjugate[19]] -> 0, 
          u[conjugate[3], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ conjugate[25]] -> 0, 
          u[conjugate[3], \ conjugate[27]] -> 0, 
			\ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ 1] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ 4] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ 5] -> 0, u[conjugate[3], \ 7] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[3], \ 9] -> 0, 
          u[conjugate[3], \ 10] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ 11] -> 0, u[conjugate[3], \ 13] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[3], \ 14] -> 0, 
          u[conjugate[3], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ 16] -> 0, u[conjugate[3], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[3], \ 19] -> 0, 
          u[conjugate[3], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[3], \ 22] -> 0, u[conjugate[3], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[3], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[4]] -> 0, \ \ \ \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[5]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[7]] -> 0, \ \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[9]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[10]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[4], \ 1] -> 0, \ 
          u[conjugate[4], \ 3] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ 5] -> 0, u[conjugate[4], \ 7] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[4], \ 9] -> 0, 
          u[conjugate[4], \ 10] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ 11] -> 0, u[conjugate[4], \ 13] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[4], \ 14] -> 0, 
          u[conjugate[4], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ 16] -> 0, u[conjugate[4], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[4], \ 19] -> 0, 
          u[conjugate[4], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[4], \ 22] -> 0, u[conjugate[4], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[4], \ 27] -> 0, 
          \ \ \ \ 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[5]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[7]] -> 0, \ \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[9]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[10]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[5], \ 1] -> 0, \ 
          u[conjugate[5], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ 4] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ 7] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ 9] -> 0, u[conjugate[5], \ 10] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[5], \ 11] -> 0, 
          u[conjugate[5], \ 13] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ 14] -> 0, u[conjugate[5], \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[5], \ 16] -> 0, 
          u[conjugate[5], \ 18] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ 19] -> 0, u[conjugate[5], \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[5], \ 22] -> 0, 
          u[conjugate[5], \ 25] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[5], \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[7]] -> 0, \ \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[9]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[10]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[7], \ 1] -> 0, 
          u[conjugate[7], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ 4] -> 0, u[conjugate[7], \ 5] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[7], \ 9] -> 0, 
          u[conjugate[7], \ 10] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ 11] -> 0, u[conjugate[7], \ 13] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[7], \ 14] -> 0, 
          u[conjugate[7], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ 16] -> 0, u[conjugate[7], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[7], \ 19] -> 0, 
          u[conjugate[7], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[7], \ 22] -> 0, u[conjugate[7], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[7], \ 27] -> 0, \ \ 
          
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[9]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[10]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ conjugate[27]] -> 0, \ \ \ 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[9], \ 1] -> 0, \ \ 
          u[conjugate[9], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ 4] -> 0, \ \ u[conjugate[9], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[9], \ 7] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[9], \ 10] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[9], \ 11] -> 0, 
          u[conjugate[9], \ 13] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ 14] -> 0, u[conjugate[9], \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[9], \ 16] -> 0, 
          u[conjugate[9], \ 18] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ 19] -> 0, u[conjugate[9], \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[9], \ 22] -> 0, 
          u[conjugate[9], \ 25] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[9], \ 27] -> 0, \ 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[10]] -> 0, \ 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[10], \ 1] -> 0, 
          u[conjugate[10], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ 4] -> 0, u[conjugate[10], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[10], \ 7] -> 0, 
          u[conjugate[10], \ 9] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ 11] -> 0, u[conjugate[10], \ 13] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[10], \ 14] -> 0, 
          u[conjugate[10], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ 16] -> 0, u[conjugate[10], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[10], \ 19] -> 0, 
          u[conjugate[10], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[10], \ 22] -> 0, u[conjugate[10], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[10], \ 27] -> 0, \ 
          
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[11]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[11], \ 1] -> 0, \ 
          u[conjugate[11], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ \ 4] -> 0, \ u[conjugate[11], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[11], \ 7] -> 0, \ 
          u[conjugate[11], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ 10] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ 13] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ 14] -> 0, u[conjugate[11], \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[11], \ 16] -> 0, 
          u[conjugate[11], \ 18] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ 19] -> 0, u[conjugate[11], \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[11], \ 22] -> 0, 
          u[conjugate[11], \ 25] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[11], \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[13]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[13], \ 1] -> 0, 
          u[conjugate[13], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ 4] -> 0, u[conjugate[13], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ u[conjugate[13], \ 7] -> 0, 
          u[conjugate[13], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ 10] -> 0, u[conjugate[13], \ 11] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[13], \ 14] -> 0, 
          u[conjugate[13], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ 16] -> 0, u[conjugate[13], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[13], \ 19] -> 0, 
          u[conjugate[13], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[13], \ 22] -> 0, u[conjugate[13], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[13], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[14]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ conjugate[27]] -> 0, \ 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[14], \ 1] -> 0, 
          u[conjugate[14], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ 4] -> 0, u[conjugate[14], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ u[conjugate[14], \ 7] -> 0, 
          u[conjugate[14], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ 10] -> 0, u[conjugate[14], \ 11] -> 0, 

          		\ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[14], \ 13] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[14], \ 15] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[14], \ 16] -> 0, 
          u[conjugate[14], \ 18] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ 19] -> 0, u[conjugate[14], \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[14], \ 22] -> 0, 
          u[conjugate[14], \ 25] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[14], \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[15]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[15], \ 1] -> 0, 
          u[conjugate[15], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ 4] -> 0, u[conjugate[15], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ u[conjugate[15], \ 7] -> 0, 
          u[conjugate[15], \ 9] -> 0, 
		\ \ \ \ \ \ \ \ \ \ \ 	
          u[conjugate[15], \ 10] -> 0, u[conjugate[15], \ 11] -> 0, \ \ \ 

          			\ \ \ \ \ \ \ \ \ \ u[conjugate[15], \ 13] -> 0, 
          u[conjugate[15], \ 14] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ 16] -> 0, u[conjugate[15], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[15], \ 19] -> 0, 
          u[conjugate[15], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[15], \ 22] -> 0, u[conjugate[15], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[15], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[16]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[16], \ 1] -> 0, 
          u[conjugate[16], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ 4] -> 0, u[conjugate[16], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[16], \ 7] -> 0, 
          u[conjugate[16], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ 10] -> 0, u[conjugate[16], \ 11] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[16], \ 13] -> 0, 
          u[conjugate[16], \ 14] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ 15] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ 18] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ 19] -> 0, u[conjugate[16], \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[16], \ 22] -> 0, 
          u[conjugate[16], \ 25] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[16], \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ conjugate[18]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[18], \ 1] -> 0, 
          u[conjugate[18], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ 4] -> 0, u[conjugate[18], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[18], \ 7] -> 0, 
          u[conjugate[18], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ 10] -> 0, u[conjugate[18], \ 11] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[18], \ 13] -> 0, 
          u[conjugate[18], \ 14] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ 15] -> 0, u[conjugate[18], \ 16] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[18], \ 19] -> 0, 
          u[conjugate[18], \ 20] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[18], \ 22] -> 0, u[conjugate[18], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[18], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ conjugate[19]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ conjugate[27]] -> 0, \ 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[19], \ 1] -> 0, 
          u[conjugate[19], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ 4] -> 0, u[conjugate[19], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[19], \ 7] -> 0, 
          u[conjugate[19], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ 10] -> 0, u[conjugate[19], \ 11] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[19], \ 13] -> 0, 
          u[conjugate[19], \ 14] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ 15] -> 0, u[conjugate[19], \ 16] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[19], \ 18] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[19], \ 20] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[19], \ 22] -> 0, 
          u[conjugate[19], \ 25] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[19], \ 27] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ conjugate[20]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ conjugate[27]] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[20], \ 1] -> 0, 
          u[conjugate[20], \ 3] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ 4] -> 0, u[conjugate[20], \ 5] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[20], \ 7] -> 0, 
          u[conjugate[20], \ 9] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ 10] -> 0, u[conjugate[20], \ 11] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[20], \ 13] -> 0, 
          u[conjugate[20], \ 14] -> 0, 
			\ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ 15] -> 0, u[conjugate[20], \ 16] -> 0, 

          			\ \ \ \ \ \ \ \ \ \ \ u[conjugate[20], \ 18] -> 0, 
          u[conjugate[20], \ 19] -> 0, 
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[20], \ 22] -> 0, u[conjugate[20], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[20], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[22], \ conjugate[22]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[22], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[22], \ conjugate[27]] -> 0, u[conjugate[22], \ 1] -> 0, 
          u[conjugate[22], \ 3] -> 0, u[conjugate[22], \ 4] -> 0, 
          u[conjugate[22], \ 5] -> 0, u[conjugate[22], \ 7] -> 0, 
          u[conjugate[22], \ 9] -> 0, u[conjugate[22], \ 10] -> 0, 
          u[conjugate[22], \ 11] -> 0, u[conjugate[22], \ 13] -> 0, 
          u[conjugate[22], \ 14] -> 0, u[conjugate[22], \ 15] -> 0, 
          u[conjugate[22], \ 16] -> 0, 
			u[conjugate[22], \ 18] -> 0, 
          u[conjugate[22], \ 19] -> 0, u[conjugate[22], \ 20]\  -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[22], \ 25] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[22], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[25], \ conjugate[25]] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[25], \ conjugate[27]] -> 0, 
			
          u[conjugate[25], \ 1] -> 0, u[conjugate[25], \ 3] -> 0, 
          u[conjugate[25], \ 4] -> 0, u[conjugate[25], \ 5] -> 0, 
          u[conjugate[25], \ 7] -> 0, u[conjugate[25], \ 9] -> 0, 
          u[conjugate[25], \ 10] -> 0, u[conjugate[25], \ 11] -> 0, 
          u[conjugate[25], \ 13] -> 0, u[conjugate[25], \ 14] -> 0, 
          u[conjugate[25], \ 15] -> 0, u[conjugate[25], \ 16] -> 0, 
          u[conjugate[25], \ 18] -> 0, u[conjugate[25], \ 19] -> 0, 
			
          u[conjugate[25], \ 20] -> 0, u[conjugate[25], \ 22] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ u[conjugate[25], \ 27] -> 0, 

          \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
          u[conjugate[27], \ conjugate[27]] -> 0, 
			
          u[conjugate[27], \ 1] -> 0, 	u[conjugate[27], \ 3] -> 0, 	
          u[conjugate[27], \ 4] -> 0, 	u[conjugate[27], \ 5] -> 0, 	
          u[conjugate[27], \ 7] -> 0, 	u[conjugate[27], \ 9] -> 0, 	
          u[conjugate[27], \ 10] -> 0, 	u[conjugate[27], \ 11] -> 0, 	
          u[conjugate[27], \ 13] -> 0, 	u[conjugate[27], \ 14] -> 0, 	
          u[conjugate[27], \ 15] -> 0, 	u[conjugate[27], \ 16] -> 0, 

          				u[conjugate[27], \ 18] -> 0, 	u[conjugate[27], \ 19] -> 0, 
          	u[conjugate[27], \ 20] -> 0, 	u[conjugate[27], \ 22] -> 0, 

          				u[conjugate[27], \ 25] -> 0}; \)\)\)

\(\(
		
		
    \(equations3 = \ 
      equations2
         /. {u[1, \ 2] -> 0, u[1, \ 8] -> 0, 
			u[2, \ 2] -> 0, 
          u[2, \ 3] -> 0, u[2, \ 4] -> 0, u[2, \ 5] -> 0, 
			
          u[1, \ 6] -> 0, u[2, \ 6] -> 0, u[2, \ 8] -> 0, 
		
          u[2, \ 9] -> 0, u[2, \ 10] -> 0, 
			u[2, \ 11] -> 0, 
          u[2, \ 12] -> 0, u[2, \ 15] -> 0, u[2, \ 16] -> 0, 
			
          u[2, \ 17] -> 0, u[2, \ 20] -> 0, u[2, \ 21] -> 0, u[2, \ 24] -> 0, 
          
			u[2, \ conjugate[24]] -> 0, u[2, \ conjugate[27]] -> 0, 

          			u[3, \ 6] -> 0, u[2, \ 7] -> 0, u[3, \ 8] -> 0, 
		
          u[4, \ 6] -> 0, u[4, \ 8] -> 0, 
			u[5, \ 6] -> 0, 
          u[5, \ 8] -> 0, u[1, \ 12] -> 0, u[6, \ 6] -> 0, 
		
          u[6, \ 7] -> 0, u[6, \ 8] -> 0, 
			u[6, \ 9] -> 0, 
          u[3, \ 12] -> 0, u[2, \ 13] -> 0, u[4, \ 12] -> 0, 
			
          u[6, \ 10] -> 0, 
		u[5, \ 12] -> 0, u[6, \ 11] -> 0, 
			
          u[6, \ 12] -> 0, u[6, \ 13] -> 0, 
		u[6, \ 14] -> 0, 
          u[6, \ 15] -> 0, 
			u[6, \ 17] -> 0, 
          u[6, \ conjugate[17]] -> 0, 
			u[6, \ conjugate[20]] -> 0, 
          u[6, \ conjugate[21]] -> 0, 
			u[6, \ conjugate[24]] -> 0, 
          u[6, \ conjugate[27]] -> 0, 
			u[7, \ 8] -> 0, 
          u[7, \ 12] -> 0, 
		u[8, \ 8] -> 0, u[7, \ conjugate[1]] -> 0, 

          			u[8, \ 9] -> 0, u[2, \ 14] -> 0, u[3, \ conjugate[24]] -> 0, 
          
		u[8, \ 10] -> 0, u[4, \ conjugate[24]] -> 0, 
			
          u[8, \ 11] -> 0, u[5, \ conjugate[24]] -> 0, 
		u[1, \ 17] -> 0, 
          u[6, \ conjugate[25]] -> 0, 
			u[8, \ 12] -> 0, 
          u[8, \ 14] -> 0, u[8, \ 15] -> 0, u[2, \ 19] -> 0, 
		
          u[8, \ 16] -> 0, u[1, \ 21] -> 0, 
			u[8, \ 17] -> 0, 
          u[8, \ 19] -> 0, u[8, \ 20] -> 0, u[1, \ 24] -> 0, 
			
          u[2, \ conjugate[14]] -> 0, 
		u[8, \ 21] -> 0, u[8, \ 24] -> 0, 
          
			u[8, \ conjugate[14]] -> 0, u[1, \ conjugate[8]] -> 0, 

          			u[2, \ conjugate[8]] -> 0, 	u[2, \ conjugate[21]] -> 0, 

          				u[8, \ conjugate[24]] -> 0, 
		u[9, \ 12] -> 0, 
          u[8, \ 13] -> 0, 
			u[3, \ 17] -> 0, 
          u[7, \ conjugate[24]] -> 0, 
			u[8, \ conjugate[27]] -> 0, 
          u[1, \ conjugate[24]] -> 0, 	
			u[2, \ conjugate[25]] -> 0, 
          u[1, \ conjugate[24]] -> 0, 
		u[2, \ 18] -> 0, 
			
          u[9, \ conjugate[24]] -> 0, 
			u[2, \ conjugate[20]] -> 0, 
          u[3, \ conjugate[21]] -> 0, 
		u[10, \ 12] -> 0, 
          u[4, \ 17] -> 0, 
		u[10, \ conjugate[24]] -> 0, 
			
          u[4, \ conjugate[21]] -> 0, 
		u[11, \ 12] -> 0, 
          u[6, \ 16] -> 0, 
			u[5, \ 17] -> 0, 
		u[12, \ 12] -> 0, 
          u[11, \ conjugate[24]] -> 0, 
			u[5, \ conjugate[21]] -> 0, 

          		u[12, \ 13] -> 0, u[6, \ 18] -> 0, u[7, \ 17] -> 0, 
		
          u[12, \ 14] -> 0, u[9, \ 17] -> 0, u[8, \ 18] -> 0, 
			
          u[3, \ 21] -> 0, u[2, \ 22] -> 0, u[7, \ conjugate[21]] -> 0, 
		
          u[12, \ 15] -> 0, u[6, \ 19] -> 0, u[10, \ 17] -> 0, 
			
          u[4, \ 21] -> 0, 
		u[12, \ 16] -> 0, u[11, \ 17] -> 0, 
          u[6, \ 20] -> 0, 
			u[5, \ 21] -> 0, 
		u[12, \ 17] -> 0, 
          u[6, \ conjugate[22]] -> 0, 
			u[6, \ 21] -> 0, 
		
          u[12, \ 19] -> 0, u[12, \ conjugate[16]] -> 0, 
			
          u[7, \ conjugate[12]] -> 0, u[12, \ conjugate[17]] -> 0, 
          u[6, \ conjugate[12]] -> 0, 
		u[12, \ conjugate[24]] -> 0, 

          			u[12, \ conjugate[21]] -> 0, u[12, \ conjugate[20]] -> 0, 
          u[6, \ conjugate[16]] -> 0, u[7, \ conjugate[17]] -> 0, 
		
          u[12, \ conjugate[27]] -> 0, 
			u[12, \ conjugate[25]] -> 0, 

          		u[13, \ 17] -> 0, u[12, \ 18] -> 0, u[7, \ 21] -> 0, 
          u[6, \ 22] -> 0, u[13, \ conjugate[1]] -> 0, 
			
          u[13, \ conjugate[24]] -> 0, 
		u[14, \ 17] -> 0, 
          u[9, \ 21] -> 0, u[8, \ 22] -> 0, u[3, \ 24] -> 0, u[2, \ 25] -> 0, 
          u[13, \ conjugate[21]] -> 0, 
		u[15, \ 17] -> 0, 
          u[10, \ 21] -> 0, u[4, \ 24] -> 0, u[2, \ 25] -> 0, 
          u[6, \ conjugate[15]] -> 0, 
		u[15, \ conjugate[24]] -> 0, 

          			u[2, \ conjugate[15]] -> 0, u[10, \ conjugate[21]] -> 0, 
          u[4, \ conjugate[17]] -> 0, 
		u[12, \ 20] -> 0, 
          u[16, \ 17] -> 0, u[11, \ 21] -> 0, u[5, \ 24] -> 0, 
          u[6, \ conjugate[14]] -> 0}; \)
		
	
\)\)