RepresentationTensor[Subscript[F, 4], 
 Irrep[Subscript[F, 4]][{0, 0, 0, 1}] \[CircleTimes] 
  Irrep[Subscript[F, 4]][{0, 0, 0, 1}], FundamentalBasis, 
 Irrep[Subscript[F, 4]][{0, 0, 0, 0}], FundamentalBasis, 
 {{{0, 0, 0, -2}, Matrix[1, 0, {{}}]}, {{0, 0, -1, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{0, 0, -2, 2}, Matrix[1, 0, {{}}]}, 
  {{0, -1, 1, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -1, 0, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -2, 2, 0}, Matrix[1, 0, {{}}]}, {{-1, 1, -1, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{-1, 1, -2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 0, 1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 0, 0, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, 0, -1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, -1, 2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, -1, 1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 2, -2, 0}, Matrix[1, 0, {{}}]}, {{-2, 1, 0, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{-2, 1, -1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 0, 2, -2}, Matrix[1, 0, {{}}]}, {{-2, 0, 1, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{-2, 0, 0, 2}, Matrix[1, 0, {{}}]}, 
  {{1, 0, -1, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 0, -2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -1, 1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -1, 0, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, -1, -1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -2, 2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -2, 1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 1, -1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 1, -2, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{0, 1, -3, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 0, 1, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 0, 0, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{0, 0, -1, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}, {}}]}, {{0, 0, -2, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -1, 2, -2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{0, -1, 1, 0}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{0, -1, 0, 2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{0, -2, 3, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -2, 2, 1}, Matrix[2, 0, {{}, {}}]}, {{-1, 2, -2, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{-1, 2, -3, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 1, 0, -2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, 1, -1, 0}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{-1, 1, -2, 2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, 0, 2, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 0, 1, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{-1, 0, 0, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}, {}}]}, {{-1, 0, -1, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, -1, 3, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, -1, 2, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, -1, 1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 2, -1, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 2, -2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 1, 1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 1, 0, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-2, 1, -1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 0, 2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 0, 1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, 0, -2, 0}, Matrix[1, 0, {{}}]}, {{2, -1, 0, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{2, -1, -1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -2, 2, -2}, Matrix[1, 0, {{}}]}, {{2, -2, 1, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{2, -2, 0, 2}, Matrix[1, 0, {{}}]}, 
  {{1, 1, -2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 1, -3, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 0, 0, -2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, 0, -1, 0}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{1, 0, -2, 2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, -1, 2, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -1, 1, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{1, -1, 0, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}, {}}]}, {{1, -1, -1, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -2, 3, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -2, 2, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, -2, 1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 2, -2, -2}, Matrix[1, 0, {{}}]}, {{0, 2, -3, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{0, 2, -4, 2}, Matrix[1, 0, {{}}]}, 
  {{0, 1, 0, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 1, -1, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{0, 1, -2, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}, {}}]}, {{0, 1, -3, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 0, 2, -4}, Matrix[1, 0, {{}}]}, {{0, 0, 1, -2}, 
   Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}]}, 
  {{0, 0, 0, 0}, Matrix[28, 1, {{q^22}, {-q^21}, {q^20}, {-q^18}, {q^17}, 
     {-(q^17/(1 + q^2))}, {q^16}, {-q^15}, {q^15/(1 + q^2)}, {q^13}, 
     {-(q^13/(1 + q^2))}, {-q^12}, {(q^13*(1 + q^2))/(1 + q^2 + q^4)}, 
     {-(q^14/(1 + q^2 + q^4))}, {-(q^14/(1 + q^2 + q^4))}, 
     {(q^13*(1 + q^2))/(1 + q^2 + q^4)}, {-q^10}, {-(q^11/(1 + q^2))}, {q^9}, 
     {q^9/(1 + q^2)}, {-q^7}, {q^6}, {-(q^7/(1 + q^2))}, {q^5}, {-q^4}, 
     {q^2}, {-q}, {1}}]}, {{0, 0, -1, 2}, 
   Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}]}, 
  {{0, 0, -2, 4}, Matrix[1, 0, {{}}]}, {{0, -1, 3, -3}, 
   Matrix[2, 0, {{}, {}}]}, {{0, -1, 2, -1}, 
   Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}]}, 
  {{0, -1, 1, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{0, -1, 0, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -2, 4, -2}, Matrix[1, 0, {{}}]}, {{0, -2, 3, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{0, -2, 2, 2}, Matrix[1, 0, {{}}]}, 
  {{-1, 2, -1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 2, -2, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, 2, -3, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 1, 1, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 1, 0, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{-1, 1, -1, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}, {}}]}, {{-1, 1, -2, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 0, 2, -2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, 0, 1, 0}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{-1, 0, 0, 2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, -1, 3, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, -1, 2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 2, 0, -2}, Matrix[1, 0, {{}}]}, {{-2, 2, -1, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{-2, 2, -2, 2}, Matrix[1, 0, {{}}]}, 
  {{-2, 1, 1, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 1, 0, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-2, 0, 2, 0}, Matrix[1, 0, {{}}]}, {{2, 0, -1, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{2, 0, -2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -1, 1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -1, 0, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{2, -1, -1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -2, 2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -2, 1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 1, -1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 1, -2, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, 1, -3, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 0, 1, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 0, 0, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{1, 0, -1, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}, {}}]}, {{1, 0, -2, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -1, 2, -2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, -1, 1, 0}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{1, -1, 0, 2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, -2, 3, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -2, 2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 2, -2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 2, -3, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 1, 0, -2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{0, 1, -1, 0}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{0, 1, -2, 2}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{0, 0, 2, -3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 0, 1, -1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}}]}, {{0, 0, 0, 1}, Matrix[12, 0, {{}, {}, {}, {}, {}, {}, {}, {}, {}, 
     {}, {}, {}}]}, {{0, 0, -1, 3}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -1, 3, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{0, -1, 2, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{0, -1, 1, 2}, Matrix[2, 0, {{}, {}}]}, {{-1, 2, -1, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{-1, 2, -2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 1, 1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 1, 0, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{-1, 1, -1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 0, 2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{-1, 0, 1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, 0, 0, -2}, Matrix[1, 0, {{}}]}, {{2, 0, -1, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{2, 0, -2, 2}, Matrix[1, 0, {{}}]}, 
  {{2, -1, 1, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -1, 0, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{2, -2, 2, 0}, Matrix[1, 0, {{}}]}, {{1, 1, -1, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{1, 1, -2, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 0, 1, -2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, 0, 0, 0}, Matrix[6, 0, {{}, {}, {}, {}, {}, {}}]}, 
  {{1, 0, -1, 2}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -1, 2, -1}, Matrix[2, 0, {{}, {}}]}, 
  {{1, -1, 1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 2, -2, 0}, Matrix[1, 0, {{}}]}, {{0, 1, 0, -1}, 
   Matrix[2, 0, {{}, {}}]}, {{0, 1, -1, 1}, Matrix[2, 0, {{}, {}}]}, 
  {{0, 0, 2, -2}, Matrix[1, 0, {{}}]}, {{0, 0, 1, 0}, 
   Matrix[2, 0, {{}, {}}]}, {{0, 0, 0, 2}, Matrix[1, 0, {{}}]}}]
