code: def test_solve_lin_sys_6x6_1():
      ground, d, r, e, g, i, j, l, o, m, p, q = field(
          "d,r,e,g,i,j,l,o,m,p,q", ZZ
      )
      domain, c, f, h, k, n, b = ring("c,f,h,k,n,b", ground)
  
      eqs = [
          b + q / d - c / d,
          c * (1 / d + 1 / e + 1 / g) - f / g - q / d,
          f * (1 / g + 1 / i + 1 / j) - c / g - h / i,
          h * (1 / i + 1 / l + 1 / m) - f / i - k / m,
          k * (1 / m + 1 / o + 1 / p) - h / m - n / p,
          n / p - k / p,
      ]
      sol = {
          b: (
              e * i * l * q
              + e * i * m * q
              + e * i * o * q
              + e * j * l * q
              + e * j * m * q
              + e * j * o * q
              + e * l * m * q
              + e * l * o * q
              + g * i * l * q
              + g * i * m * q
              + g * i * o * q
              + g * j * l * q
              + g * j * m * q
              + g * j * o * q
              + g * l * m * q
              + g * l * o * q
              + i * j * l * q
              + i * j * m * q
              + i * j * o * q
              + j * l * m * q
              + j * l * o * q
          )
          / (
              -d * e * i * l
              - d * e * i * m
              - d * e * i * o
              - d * e * j * l
              - d * e * j * m
              - d * e * j * o
              - d * e * l * m
              - d * e * l * o
              - d * g * i * l
              - d * g * i * m
              - d * g * i * o
              - d * g * j * l
              - d * g * j * m
              - d * g * j * o
              - d * g * l * m
              - d * g * l * o
              - d * i * j * l
              - d * i * j * m
              - d * i * j * o
              - d * j * l * m
              - d * j * l * o
              - e * g * i * l
              - e * g * i * m
              - e * g * i * o
              - e * g * j * l
              - e * g * j * m
              - e * g * j * o
              - e * g * l * m
              - e * g * l * o
              - e * i * j * l
              - e * i * j * m
              - e * i * j * o
              - e * j * l * m
              - e * j * l * o
          ),
          c: (
              -e * g * i * l * q
              - e * g * i * m * q
              - e * g * i * o * q
              - e * g * j * l * q
              - e * g * j * m * q
              - e * g * j * o * q
              - e * g * l * m * q
              - e * g * l * o * q
              - e * i * j * l * q
              - e * i * j * m * q
              - e * i * j * o * q
              - e * j * l * m * q
              - e * j * l * o * q
          )
          / (
              -d * e * i * l
              - d * e * i * m
              - d * e * i * o
              - d * e * j * l
              - d * e * j * m
              - d * e * j * o
              - d * e * l * m
              - d * e * l * o
              - d * g * i * l
              - d * g * i * m
              - d * g * i * o
              - d * g * j * l
              - d * g * j * m
              - d * g * j * o
              - d * g * l * m
              - d * g * l * o
              - d * i * j * l
              - d * i * j * m
              - d * i * j * o
              - d * j * l * m
              - d * j * l * o
              - e * g * i * l
              - e * g * i * m
              - e * g * i * o
              - e * g * j * l
              - e * g * j * m
              - e * g * j * o
              - e * g * l * m
              - e * g * l * o
              - e * i * j * l
              - e * i * j * m
              - e * i * j * o
              - e * j * l * m
              - e * j * l * o
          ),
          f: (
              -e * i * j * l * q
              - e * i * j * m * q
              - e * i * j * o * q
              - e * j * l * m * q
              - e * j * l * o * q
          )
          / (
              -d * e * i * l
              - d * e * i * m
              - d * e * i * o
              - d * e * j * l
              - d * e * j * m
              - d * e * j * o
              - d * e * l * m
              - d * e * l * o
              - d * g * i * l
              - d * g * i * m
              - d * g * i * o
              - d * g * j * l
              - d * g * j * m
              - d * g * j * o
              - d * g * l * m
              - d * g * l * o
              - d * i * j * l
              - d * i * j * m
              - d * i * j * o
              - d * j * l * m
              - d * j * l * o
              - e * g * i * l
              - e * g * i * m
              - e * g * i * o
              - e * g * j * l
              - e * g * j * m
              - e * g * j * o
              - e * g * l * m
              - e * g * l * o
              - e * i * j * l
              - e * i * j * m
              - e * i * j * o
              - e * j * l * m
              - e * j * l * o
          ),
          h: (-e * j * l * m * q - e * j * l * o * q)
          / (
              -d * e * i * l
              - d * e * i * m
              - d * e * i * o
              - d * e * j * l
              - d * e * j * m
              - d * e * j * o
              - d * e * l * m
              - d * e * l * o
              - d * g * i * l
              - d * g * i * m
              - d * g * i * o
              - d * g * j * l
              - d * g * j * m
              - d * g * j * o
              - d * g * l * m
              - d * g * l * o
              - d * i * j * l
              - d * i * j * m
              - d * i * j * o
              - d * j * l * m
              - d * j * l * o
              - e * g * i * l
              - e * g * i * m
              - e * g * i * o
              - e * g * j * l
              - e * g * j * m
              - e * g * j * o
              - e * g * l * m
              - e * g * l * o
              - e * i * j * l
              - e * i * j * m
              - e * i * j * o
              - e * j * l * m
              - e * j * l * o
          ),
          k: e
          * j
          * l
          * o
          * q
          / (
              d * e * i * l
              + d * e * i * m
              + d * e * i * o
              + d * e * j * l
              + d * e * j * m
              + d * e * j * o
              + d * e * l * m
              + d * e * l * o
              + d * g * i * l
              + d * g * i * m
              + d * g * i * o
              + d * g * j * l
              + d * g * j * m
              + d * g * j * o
              + d * g * l * m
              + d * g * l * o
              + d * i * j * l
              + d * i * j * m
              + d * i * j * o
              + d * j * l * m
              + d * j * l * o
              + e * g * i * l
              + e * g * i * m
              + e * g * i * o
              + e * g * j * l
              + e * g * j * m
              + e * g * j * o
              + e * g * l * m
              + e * g * l * o
              + e * i * j * l
              + e * i * j * m
              + e * i * j * o
              + e * j * l * m
              + e * j * l * o
          ),
          n: e
          * j
          * l
          * o
          * q
          / (
              d * e * i * l
              + d * e * i * m
              + d * e * i * o
              + d * e * j * l
              + d * e * j * m
              + d * e * j * o
              + d * e * l * m
              + d * e * l * o
              + d * g * i * l
              + d * g * i * m
              + d * g * i * o
              + d * g * j * l
              + d * g * j * m
              + d * g * j * o
              + d * g * l * m
              + d * g * l * o
              + d * i * j * l
              + d * i * j * m
              + d * i * j * o
              + d * j * l * m
              + d * j * l * o
              + e * g * i * l
              + e * g * i * m
              + e * g * i * o
              + e * g * j * l
              + e * g * j * m
              + e * g * j * o
              + e * g * l * m
              + e * g * l * o
              + e * i * j * l
              + e * i * j * m
              + e * i * j * o
              + e * j * l * m
              + e * j * l * o
          ),
      }
  
      assert solve_lin_sys(eqs, domain) == sol
  
file_path: sympy/sympy/polys/tests/test_solvers.py
imports: from sympy.matrices import Matrix
  from sympy.polys.domains import ZZ, QQ
  from sympy.polys.fields import field
  from sympy.polys.rings import ring
  from sympy.polys.solvers import solve_lin_sys, eqs_to_matrix
label_desc: Use image node_id 8 for calling a global function with example usage: test_solve_lin_sys_6x6_1() without return types