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A collection of lesser-known circular and hyperbolic trig functions and their inverses
Get the full list of complex nth roots of a number
Convert all nth roots in an expression, where n is an odd integer, to their real-valued nth roots
Determine if a given number is an integer complex root of another number
Get the set of primitive nth roots of unity
Get the subset of a list for a given index
Denest nested radical expressions
Compute the digit in a given place of the positional representation of a number
Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points
Compute and visualize the roots of fractional (noninteger) derivatives of polynomials
Get the n-th Gray code subset of a list
Compute the BKK bound on the number of isolated complex solutions of a square polynomial system
Count the roots to a system of polynomials
Find zeros of the ScorerGi function
Find the nth Mersenne prime
Compute the nth deficient number
Compute the nth abundant number
Get the nth composite number
Find the nth Fermat number that is also a prime number
Generate the tensor associated with the nth derivative of a vector field at a point
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
Find the integer square root of a positive integer
The true Routh Hurwitz test and more
Compute the Frobenius companion matrix of a polynomial
Prove or disprove a closed first-order formula in the theory of univariate mixed trigonometric polynomials
Get the polynomial degree of an algebraic number
Generate the comrade matrix corresponding to an orthogonal polynomial series
Calculate the bialternate product of two square matrices
Support arithmetic operations for pairs of Eisenstein integers
Get the bialternate sum matrix of a square matrix