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$q$-expansion of the $j$-invariant

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Numbers

$n$

$a_n$

INPUT{numbers.yaml} (not shown in preview)

Definition

This list contains the coefficients of the $j$-invariant [1] in its $q$-expansion, $j(\tau) = \sum_{n=-1}^{\infty} a_n q^n$, where $q = e^{2\pi i\tau}$.

Parameters

$n$

— integer ($n \geq -1$)

Programs

(P1)

Sage

```
numbers = {n: j_invariant_qexp(101)[n] for n in [-1..100]}
```

Links

Data properties

Entries are of type: integer

Table is complete: no