List of the imaginary parts of the first 100,000 nontrivial zeros of the Riemann zeta function. Andrew Odlyzko computed these to precision within .
In order to use zeta_zeros(), you will need to install the optional Odlyzko database package: sage -i database_odlyzko_zeta. You can see a list of all available optional packages with sage -optional.
REFERENCES:
EXAMPLES:
The following example prints the imaginary part of the 13th nontrivial zero of the Riemann zeta function. Note that only the first 9 digits after the decimal come from the database. Subsequent digits are the result of the inherent imprecision of a binary representation of decimal numbers.
sage: zz = zeta_zeros() # optional
sage: zz[12] # optional
59.347044003000001