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The following table gives the total number of real fields of discriminant up to for , as well as the elapsed time on a DEC Alpha.

The following table gives the total number of complex fields of discriminant
greater or equal to to **-X** with for , as well as the
elapsed time on a DEC Alpha.

It should be remarked that, thanks to the notion of reducedness, our algorithm gives for every cubic field a canonical equation, which we can call

- The cyclic number field with discriminant
**961**can be given by the monic equation , but does not have a power basis (an integral basis is , where is a root of the above equation). Our algorithm finds the nonmonic reduced equation . - The noncyclic number field of discriminant
**1304**can be given by the monic equation , but does not have a power basis (an integral basis is ). Our algorithm finds the nonmonic reduced equation . - The noncyclic number field of discriminant
**2228**can be given by the monic equation , and this times it has a power basis. On the other hand our algorithm finds the nonmonic reduced equation .

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