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4 | 4 | % |
5 | 5 | % If you want to split the blueprint content into several files then |
6 | 6 | % the current file can be a simple sequence of \input. Otherwise It |
7 | | -% can start with a \section or \chapter for instance. |
| 7 | +% can start with a \section or \chapter for instance. |
| 8 | + |
| 9 | + |
| 10 | + |
| 11 | +\section{Number Fields} |
| 12 | + |
| 13 | +\begin{itemize} |
| 14 | + \item label (degree, (real) signature, abs value of discriminant, index?) |
| 15 | + \item root discriminant |
| 16 | + \item Galois root discriminant |
| 17 | + \item ramified primes |
| 18 | + \item discriminant root field |
| 19 | + \item automorphism group |
| 20 | + \item monogeneric |
| 21 | + \item index |
| 22 | + \item inessential primes |
| 23 | + \item torsion generator |
| 24 | + \item fundamental units |
| 25 | + \item regulator |
| 26 | + \item itermediate fields |
| 27 | + \item sibling fields |
| 28 | + \item frobenius cycle type |
| 29 | + \item local algebra for ramified primes (maybe, depends on local fields stuff). |
| 30 | + \end{itemize} |
| 31 | + |
| 32 | + |
| 33 | +\section{Modular forms} |
| 34 | + |
| 35 | +\begin{itemize} |
| 36 | + \item label (level, weight, galois orbit of dirichlet character, label of galois orbit of newform, corey label, relative dimension) |
| 37 | + \item coefficient field |
| 38 | + \item Character |
| 39 | + \item Hecke operators |
| 40 | + \item newform/old forms |
| 41 | + \item Petersson inner product |
| 42 | + \item L-function self dual |
| 43 | + \item analytic conductor |
| 44 | + \item dimension |
| 45 | + \item Fricke sign/ Atkin-Lehner signs |
| 46 | + \item inner twists |
| 47 | +\end{itemize} |
| 48 | + |
| 49 | +\section{Elliptic curves} |
| 50 | + |
| 51 | +\begin{itemize} |
| 52 | + \item LMFDB label (and maybe also Cremona label): Conductor, isogeny class label and isomorphism class index |
| 53 | + \item abc quality |
| 54 | + \item rank |
| 55 | + \item torsion order |
| 56 | + |
| 57 | + |
| 58 | + |
| 59 | +\end{itemize} |
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