### Matrix for z(5,5 | 5,5)

$I$ | $I$ | $I$ | $I$ | $I$ |

$I$ | $\alpha$ | $\alpha^2$ | $\alpha^3$ | $\alpha^4$ |

$I$ | $\alpha^2$ | $\alpha^4$ | $\alpha$ | $\alpha^3$ |

$I$ | $\alpha^3$ | $\alpha$ | $\alpha^4$ | $\alpha^2$ |

$I$ | $\alpha^4$ | $\alpha^3$ | $\alpha^2$ | $\alpha$ |

The quotient matrix for the finite projective plane of order 5. $I$ is the identity and $\alpha$ is a 5-cycle.