1. Tabular layout

Computational questions
How do I construct ... group?
--
permutation 4.1
the conjugacy classes of a 4.2

Given a group G, how do I compute ... ?
--
all normal subgroups of G 4.3
the center/group id/random element of G4.4

How do I compute the ... of a matrix?
--
eigenvectors/values 5.4
row reduced echelon form 5.5
5.3 kernel
5.6 characteristic polynomial
How do I find the ... of a group's representations?
--
8.1character table
8.2Brauer character table
How do I compute $ A^n \pmod m$ , where A is ...?
--
11.1 an integer
5.2 a square matrix
10.1 a polynomial

How do I ... a polynomial?
--
10.2 factor
10.4 find roots of 10.5 evaluate
10.7 Groebner basis of ideal of

Given an elliptic curve $ E$ , how do I compute ...?
--
13.1 its conductor
13.2 its j-invariant (and discriminant)
13.4 its associated modular form
13.3 its points defined over GF(q)

Given a space of modular symbols M, how do I compute ... ?
--
12.3 Hecke operators action

For a number field, how do I compute ...?
--
14.1 those ramified at a given prime
14.2 the class number
14.3 an integral basis for its ring of integers

Given a congruence subgroup $ \Gamma$ , how do I compute ... ?
--
12.1 the dimension of the space of cusp forms for Gamma
12.2 a list of coset reps of $ SL_2(\mathbf{Z})/\Gamma$

How do I construct ... vector space?
--
5.1 a basis of a
6 a linear code, as a

How do I construct the ring of ... ?
--
9.1 matrices
9.2 polynomials
9.2 polynomials modulo an ideal
9.3 p-adic numbers

How do I plot a ...?
--
3 function (like $ \sin(x)$ or $ [(\sin(t),\cos(t)]$ or $ x^2-y^2$ )
3.2 curve (over the reals)
3.6 surface (over the reals)
3.1 piecewise-defined function

How do I compute the ... ?
--
11.2 discrete log of $ x$
11.3 next prime after $ x$
11.4 sigma function
quadratic residues mod p 11.5

How do I compute ... curve over a finite field?
--
15.1 the rational points of
a basis for the Riemann-Roch space of a 15.2

How do I compute ... graph?
--
7.2 a Cayley
7.3 an adjacency matrix

Interface questions

16.1 Can I run a Sage job in the background?
I used Sage in a research paper. 16.2 How should I reference it?
16.3 Can I log my Sage session?
16.4 Can I output my results into LaTeX?
16.5 How do I compute ... in Pari, GAP, Singular, MAGMA?
16.6 Given a Sage or Python object foo, how do I figure out what functions I can call on it?
16.7 How do I read a file into Sage?
16.11 What is Sage? What calculations can Sage do?
16.8 How do I (a very impatient person) install Sage and the databases as fast as possible?
16.9 How do I read the Python code for the Sage command (fill in your favorite command)?
16.10 How do I compute the value of (favorite special function) in Sage?

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