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12 years ago commented question Modular Symbols with Character & Manin Symbols

Oh, I see what you're saying. Thank you!

12 years ago commented question Modular Symbols with Character & Manin Symbols

Hi Daniels, Thanks for the suggestion! Unfortunately, I need to work with these algebraic objects with complete precision, so taking approximations like that won't work for me.

12 years ago asked a question Modular Symbols with Character & Manin Symbols

1) Let f=q+aq2+(a3+12a2+2)q3+a2q4+O(5) be the level 28, weight 2 newform where a satisfies x4+2x3+2x2+4x+4. This modular form has an associated Dirichlet character (which we'll call eps) of conductor 28 mapping 151 and 17(12a312a2a1).

I want to create the space of Modular Symbols

ModularSymbols(eps,2,1)

When I attempt to do so, I receive this error:

TypeError: No compatible natural embeddings found for Complex Lazy Field and Number Field in a2 with defining polynomial x^4 + 2x^3 + 2x^2 + 4*x + 4

What's going on here? For many Dirichlet characters, the Modular Symbol space is created just fine. What's breaking in this case?

2) As a secondary question, is there any way to create the space of modular symbols

MS=f.modular_symbols()

in such a way that MS has a manin symbol list?