Is there any plans to make Sage more useful to beginners? To give two
examples from different levels:
1*(2+
This gives "SyntaxError: invalid syntax" and explanation is "... exec
compile(u'open("___code___.py","w").write("# -*- coding: utf-8 ..." ---
what is beginner supposed to do with this?
R.<x>=QQ[]; [x^5+a*x+b for a in range(1,50) for b in range(1,50) if
len(factor(x^5+a*x+b))==1 and PermutationGroup(NumberField(x^5+a*x+b,
'z').galois_group(type="pari").group()).is_isomorphic(AlternatingGroup(5))]
This works (as of Sage 5.6) but...
- There is no function to check if polynomial is irreducible or not.
len(factor(f)) is workaround --- and for x^5 does not work. Try to change
range(1,50) to range(-25,25).
- User needs some "generator" to get Galois group.
- Galois group is not right type for is_isomorphic()-function, so user
must convert it.
Underlying software is great! And as last example shows, with Sage user
can find polynomial with given Galois group. It is even fast to write
code snippets like this --- if you happen to know all bits needed.
But Sage is not going to be widely used at least here. It is too hard to
use.
--
Jori Mäntysalo
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