SparseArray[Automatic, {25, 25}, 0, 
 {1, {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 
   20, 21, 22, 23, 24, 25}, {{1}, {2}, {3}, {4}, {5}, {6}, {7}, {8}, {9}, 
   {10}, {11}, {12}, {13}, {14}, {15}, {16}, {17}, {18}, {19}, {20}, {21}, 
   {22}, {23}, {24}, {25}}}, {1, 1, 1, 1, 1, 1, E^(((4*I)/5)*Pi), 
   -1 - E^(((2*I)/5)*Pi) - E^(((-4*I)/5)*Pi) - E^(((4*I)/5)*Pi), 
   E^(((2*I)/5)*Pi), E^(((-4*I)/5)*Pi), 1, -1 - E^(((2*I)/5)*Pi) - 
    E^(((-4*I)/5)*Pi) - E^(((4*I)/5)*Pi), E^(((-4*I)/5)*Pi), 
   E^(((4*I)/5)*Pi), E^(((2*I)/5)*Pi), 1, E^(((2*I)/5)*Pi), E^(((4*I)/5)*Pi), 
   E^(((-4*I)/5)*Pi), -1 - E^(((2*I)/5)*Pi) - E^(((-4*I)/5)*Pi) - 
    E^(((4*I)/5)*Pi), 1, E^(((-4*I)/5)*Pi), E^(((2*I)/5)*Pi), 
   -1 - E^(((2*I)/5)*Pi) - E^(((-4*I)/5)*Pi) - E^(((4*I)/5)*Pi), 
   E^(((4*I)/5)*Pi)}}]
