Use dim, codim, and degree to compute the dimension, codimension and degree, respectively, of an ideal. The functions dim and degree compute the dimension and degree of the ring `R/I`.

i1 : R = ZZ/101[x,y,z]; |

i2 : I = ideal(x^3-y*z^2,x*y-z^2,x*z); o2 : Ideal of R |

i3 : dim I o3 = 1 |

i4 : codim I o4 = 2 |

i5 : degree I o5 = 2 |