# Calculators written by Dario Alpern

- Alpertron
- Calculators

The calculators in this site are:

**Complex number calculator:**Reverse Polish Notation calculator capable of performing all basic operations, powers, roots, logarithms, trigonometric functions, hyperbolic functions, gamma and polygamma functions.**Generic Two integer variable equation solver:**Diophantine equation**ax**solver, where the unknowns^{2}+ bxy + cy^{2}+ dx + ey + f = 0**x**and**y**can be integer numbers only.**Quadratic modular equation solver:**Calculator that can solve equations of the form**ax**.^{2}+ bx + c = 0 (mod n)**Factorization using the Elliptic Curve Method:**Applet that can be used to find 20- or 30-digit factors of numbers or numerical expressions up to 100000 digits long. It also computes the number and sum of divisors, Euler's totient and Moebius, and its decomposition as a sum of up to 4 perfect squares.**Gaussian Integer Factorization applet:**Finds the factors of complex numbers of the form a+bi where a and b are integers. It also includes a complete calculator with operators and functions using gaussian integers.**Discrete logarithm calculator:**Applet that finds the exponent in the expression`Base`^{Exponent}=`Power`(mod`Modulus`).**Continued fraction calculator:**This calculator can find the continued fraction expansions of rational numbers and quadratic irrationalities.**Sum of squares:**This calculator can find the decomposition of a number or numerical expression in a sum of up to four squares. It does not need its prime factorization.**Sum of four cubes:**This calculator can find the decomposition of a number or numerical expression that is not congruent to 4 or 5 (mod 9) in a sum of four cubes.**Sum of two squares and a power:**This calculator can find the decomposition of a number or numerical expression that in a sum of two sqaures and a cube, fifth or seventh power.**Polynomial factorization:**This calculator can find the decomposition of an integer polynomial or a polynomial modulo a prime in a product of irreducible factors. In the first case it also shows the exact roots using radical expressions.