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 5.3
row reduced echelon form 5.4
5.2 kernel
5.5 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 ...?
--
10.1 an integer
10.2 a square matrix
10.3 a polynomial

How do I ... a polynomial?
--
11.1 factor
11.3 find roots of 11.4 evaluate
11.5 Groebner basis of ideal of

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

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

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

Given a congruence subgroup $ \Gamma$ , how do I compute ... ?
--
13.1 the dimension of the space of cusp forms for Gamma
13.2 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$ )
16.1 curve (over the reals)
16.2 surface (over the reals)
3.2 piecewise-defined function

How do I compute the ... ?
--
12.1 discrete log of $ x$
12.2 next prime after $ x$
12.3 sigma function
quadratic residues mod p 12.4

How do I compute ... curve over a finite field?
--
16.3 the rational points of
a basis for the Riemann-Roch space of a 16.4

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

Interface questions

17.1 Can I run a SAGE job in the background?
I used SAGE in a research paper. 17.2 How should I reference it?
17.3 Can I log my SAGE session?
17.4 Can I output my results into LaTex?
17.5 How do I compute ... in Pari, GAP, Singular, MAGMA?
17.6 Given a SAGE or Python object foo, how do I figure out what functions I can call on it?
17.7 How do I read a file into SAGE?
17.11 What is SAGE? What calculations can SAGE do?
17.8 How do I (a very impatient person) install SAGE and the databases as fast as possible?
17.9 How do I read the Python code for the SAGE command (fill in your favorite command)?
17.10 How do I compute the value of (favorite special function) in SAGE?

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