Improved computation of polynomial roots over number fields when using complex embeddings

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Topics in computational algebraic number theory
Isomorphisms of algebraic number fields
Factoring polynomials over global fields
On Lovász' lattice reduction and the nearest lattice point problem
The Magma algebra system. I: The user language
Short principal ideal problem in multicubic fields
Towards faster polynomial-time lattice reduction
Approx-SVP in ideal lattices with pre-processing
Factoring polynomials over global fields. I
A relative van Hoeij algorithm over number fields
Polynomial factorization algorithms over number fields
Twisted-PHS: using the product formula to solve approx-SVP in ideal lattices
New techniques for computing the ideal class group and a system of fundamental units in number fields
Square Root Algorithms for the Number Field Sieve
An LLL Algorithm with Quadratic Complexity
Floating-Point LLL: Theoretical and Practical Aspects
Short Generators Without Quantum Computers: The Case of Multiquadratics
Recovering Short Generators of Principal Ideals in Cyclotomic Rings
Log-\(\mathcal{S}\)-unit lattices using explicit Stickelberger generators to solve approx ideal-SVP
Fast practical lattice reduction through iterated compression
On the hardness of the NTRU problem
Fast multiquadratic S-unit computation and application to the calculation of class groups
Norm relations and computational problems in number fields

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