description of files
--------------------

below_1018.txt:    1133 triples with c < 10^18
above_1018.txt:   13302 triples with c >= 10^18 but < 2^63
specialcases.txt:   371 triples with c >= 10^18 but < 2^63
                  from three sources: high quality, high merit, unbeaten

source of abc-triples
---------------------

source for all triples is Bart de Smit's website:
https://www.math.leidenuniv.nl/~smitbde/abc/
which contains

14482065 triples with c < 10^18
 9345651 triples with c >= 10^18 but < 2^63
     371 triples of high quality, high merit or unbeaten triples

selection criteria
------------------
c < 10^18         : rag > 1.10 or rpg > 2.66 or mag > 1.37 or mpg > 1.57 or sag > 1.31 or spg > 1.90
10^18 <= c < 2^63 : rag > 0.90 or rpg > 2.45 or mag > 1.09 or mpg > 1.51 or sag > 1.02 or spg > 1.86
special cases     : only c >= 2^63

explanation of abbreviations
----------------------------

rag: real approximation gain
rpg: real power gain
mag: multiple p-adic approximation gain
mpg: multiple p-adic power gain
sag: strict p-adic approximation gain
spg: strict p-adic power gain

counter refers to the line number in Bart de Smit's files