These are the thousand-digit eigenvalue results I have submitted to OEIS:
- oeis.org/A262823
"Decimal expansion of lowest Dirichlet eigenvalue of Laplacian within the unit-edged regular pentagon."
λ=7.95708938934945889838046059040801351121371445386563...
1502 terms
Local data:
- oeis.org/A263202
"Decimal expansion of the lowest Dirichlet eigenvalue of the Laplacian within the unit-edged regular hexagon." Size: inscribed in unit-radius circle:
λ=7.15533913392605512821001761683313928066919958577697...
1001 terms
Local data:
- oeis.org/A262701
"Decimal expansion of lowest Dirichlet eigenvalue of the Laplacian within a certain L-shaped region."
λ=9.63972384402194105271145926236482315626728952582190...
1001 terms
Local data:
- oeis.org/A276813
Continued fraction for the ratio of the lowest two Dirichlet eigenvalues of the Laplacian within the regular pentagon.
"2, 1, 1, 8, 1, 4, 2, 2, 16, 3, 3, 1, 3, 1, 1, 2, 1, 1, 3, 1, 3, 3, 5, 1,..."
978 terms
Local data: