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Finding divisor and certain ideals

Hey SAGE-Community,

I am new to SAGE and looking for some help for a small university project. Given 𝒪K as the ring of integers to K=ℚ(√5). Given also a totally negative number d ∈ 𝒪K2. How can I calculate the largest integral ideal f in K whose square divides d such that d is a square modulo 4 f?

Thanks a lot in advance!

Finding divisor and certain ideals

Hey SAGE-Community,

I am new to SAGE and looking for some help for a small university project. Given 𝒪K as the ring of integers to K=ℚ(√5). Given also a totally negative number d ∈ 𝒪K2. How can I calculate the largest integral ideal f in K whose square divides d such that d is a square modulo 4 f?

Thanks A second question is: For any given Ideal i, how can I find all the divisor ideals?

I guess that both questions are rather easily done in SAGE but I am missing the necessary experience. Anyways, thanks a lot in advance!

Finding divisor and certain ideals

Hey SAGE-Community,

I am new to SAGE and looking for some help for a small university project. Given 𝒪K as the ring of integers to K=ℚ(√5). Given also a totally negative number d ∈ 𝒪K2. How can I calculate the largest integral ideal f in K whose square divides d such that d is a square modulo 4 f?

A second question is: For any given Ideal i, how can I find all the divisor ideals?

I guess that both questions are rather easily done in SAGE but I am missing the necessary experience. Anyways, thanks a lot in advance!

Finding divisor and a certain idealsideal

Hey SAGE-Community,

I am new to SAGE and looking for some help for a small university project. Given 𝒪K as the ring of integers to K=ℚ(√5). Given also a totally negative number d ∈ 𝒪K2. How can I calculate the largest integral ideal f in K whose square divides d such that d is a square modulo 4 f?

A second question is: For any given Ideal i, how can I find all the divisor ideals?

I guess that both questions are rather easily done in SAGE but I am missing the necessary experience. Anyways, thanks a lot in advance!