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square root sign

In a finite field, say

p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab
F = GF(p)


does the square_root function always return the root r s.t. sign(r) = +1, assuming that a root exists, where sign is the function that return -1 iff r > (p-1)/2

 2 retagged FrédéricC 4131 ●3 ●37 ●85

square root sign

In a finite field, say

p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab
F = GF(p)


does the square_root function always return the root r s.t. sign(r) = +1, assuming that a root exists, where sign is the function that return -1 iff r > (p-1)/2