Polyamide obtained by polymerization in the presence of at least: - dicarboxylic acid monomers of the type AA and diamine monomers of the type BB, or salts thereof; - a multifunctional compound (i) comprising either at least 3 functions A or at least 3 functions B; - a monofunctional compound (ii) comprising either a function A or a function B; the functions A and B being functions that are capable of reacting together to form an amide bond; said polyamide comprising: - from 0.02 mol% to 0.6 mol%, relative to the number of moles of constituent monomers of the polyamide, of a unit corresponding to the multifunctional compound (i); - optionally from 0 to 2 mol%, relative to the number of moles of constituent monomers of polyamide, of a unit corresponding to the monofunctional compound (ii); the polyamide obtained having a difference in absolute value ΔGT between its end groups that is greater than or equal to the value Q (limit ΔGT); this value Q being defined by: Q = α.[(β - T ii) 2 - γ] 0.5, if the amount between the square brackets (β - T ii) 2 - γ is positive; or Q = 0, if the amount between the square brackets (β - T ii) 2 - γ is negative or zero; with: - α = 85 - β = 2.1 + Σ k [0.46.(f k - 2) 3 T ik 2 + 1.15.(f k - 2) T ik] - γ = 2.14 - T i corresponds to the molar percentage of multifunctional compound (i) - T ii corresponds to the molar percentage of multifunctional compound (ii) - f corresponds to the functionality of the multifunctional compound (i) and thus corresponds to the number of functions A or B borne by the multifunctional compound (i) - k represents the index of each multifunctional compound used, the compound k having the functionality fk and being added in a molar percentage Tik; and - the amounts ΔGT and Q being expressed in meq/kg; when the multifunctional compound (i) bears functions of type A, then the monofunctional compound (ii) bears a function of type B; similarly, when the multifunctional compound (i) bears functions of type B, then the monofunctional compound (ii) bears a function of type A. - dicarboxylic acid monomers of the type AA and diamine monomers of the type BB, or salts thereof; - a multifunctional compound (i) comprising either at least 3 functions A or at least 3 functions B; - a monofunctional compound (ii) comprising either a function A or a function B; - from 0.02 mol% to 0.6 mol%, relative to the number of moles of constituent monomers of the polyamide, of a unit corresponding to the multifunctional compound (i); - optionally from 0 to 2 mol%, relative to the number of moles of constituent monomers of polyamide, of a unit corresponding to the monofunctional compound (ii); Q = α.[(β - T ii) 2 - γ] 0.5, if the amount between the square brackets (β - T ii) 2 - γ is positive; or Q = 0, if the amount between the square brackets (β - T ii) 2 - γ is negative or zero; - α = 85 - β = 2.1 + Σ k [0.46.(f k - 2) 3 T ik 2 + 1.15.(f k - 2) T ik] - γ = 2.14 - T i corresponds to the molar percentage of multifunctional compound (i) - T ii corresponds to the molar percentage of multifunctional compound (ii) - f corresponds to the functionality of the multifunctional compound (i) and thus corresponds to the number of functions A or B borne by the multifunctional compound (i) - k represents the index of each multifunctional compound used, the compound k having the functionality fk and being added in a molar percentage Tik; and - the amounts ΔGT and Q being expressed in meq/kg;