Index

A

algebraic-geometric codes

attach into Sage

B

background, running Sage in

Brauer character

C

calculus critical points differentiation integration center groups character Brauer modular representation characteristic polynomial matrix check matrix codes ciphers connection polynomial class_number number field

codes algebraic-geometric check matrix dual generator matrix Golay conjugacy classes group connection polynomial ciphers cosets of Gamma_0 critical points calculus cyclotomic number field

D

database number field differentiation calculus

discrete logs discriminant number field dual codes

E

eigenvalues eigenvectors elliptic curve modular form point counting

elliptic curves, [1] evaluation polynomial

F

factorization polynomial

Frobenius normal form

G

gcd polynomial generator matrix codes Golay codes

group conjugacy classes normal subgroups permutation Rubik's cube groups center

H

Hecke operators help in Sage

Hermite normal form history Sage

I

importing into Sage integral basis number field

integration calculus

L

LaTeX output linear equations solve

load into Sage

M

matrix characteristic polynomial ring modular form elliptic curve

modular forms modular representation character modular symbols

N

normal subgroups group number field class_number cyclotomic database discriminant integral basis

P

p-adics permutation group plot a function a parametric curve curve using surf point counting elliptic curve polynomial evaluation factorization gcd powers quotient ring ring roots symbolic manipulation

power series powers polynomial Python and Sage

Q

quadratic residues

quotient ring polynomial

R

rational canonical form referencing Sage Riemann-Roch space, [1] ring matrix polynomial

roots polynomial Rubik's cube group

S

Sage history referencing Smith normal form

solve linear equations special functions in Sage symbolic manipulation polynomial

T

Taylor series