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This is probably an ugly hack, but you after reading the source code of such quotient rings, you can change the hidden _names attribute of your object as follows:

sage: R = E.coordinate_ring()
sage: R._names = ('X','Y','Z')

Then you can see:

sage: R.gens()
(X, Y, Z)

And you can let the Sage (=Python) variables X, Y, Z point to those indeterminates as follows:

sage: R.inject_variables() Defining X, Y, Z sage: X+Y^2 Y^2 + X

This is probably an ugly hack, but you after reading the source code of such quotient rings, you can change the hidden _names attribute of your object as follows:

sage: R = E.coordinate_ring()
sage: R._names = ('X','Y','Z')

Then you can see:

sage: R.gens()
(X, Y, Z)

And you can let the Sage (=Python) variables X, Y, Z point to those indeterminates as follows: