Probabilities as Values of Modular Forms and Continued Fractions

Table 1

Values of 𝐿(𝑝).

𝑝		ℙ𝑝(𝐴(2,5))		ℙ𝑝(𝐴(1,5))		𝐿(𝑝)
0.3		0.692⋯		0.883⋯		0.61607⋯
0.4		0.576⋯		0.776⋯		0.61778⋯
⋮		⋮		⋮		⋮
0.97		6.43⋯×10^−14		1.03⋯×10^−13		0.61803⋯
0.98		5.65⋯×10^−21		9.11⋯×10^−21		0.61803⋯
0.99		3.11⋯×10^−42		5.03⋯×10^−42		0.61803⋯