List of congruences between all newforms of levels N≤2000

   List of congruences

The list of results has the following format:


N1	i	N2	j	L1	L2	L3	L4


where
• (N₁, i) (resp. with (N₂, j)) is the i-th newform of level N₁, sorted using the SortDecomposition function of Magma (Thesis, page 11), and N₂ divides N₁. If N₁ equals N₂, then j < i.
• L₁ corresponds to the lower bound computed as it is described in Chapter 2.
• L₂ is computed as L₁, but now we omit the Hecke Operators using the primes away from l
• L₃ is computed as L₁, but now we omit the Hecke Operators using the primes away from the levels and l
• L₄ corresponds to the upper bound computed as it is described in Chapter 2.

   It is clear that L₁≤L₂≤L₃≤L₄.