unit_square V=[(0, 0), (1, 0), (1, 1), (0, 1)] k=[1, -1, 1, -1]: degree of N4(k_i^2 q_i(x)) in x = 4; s-valuation of the degree-6 form N4(k^2R)/s^2 = 2
trapezoid V=[(0, 0), (7, 0), (5, 3), (1, 3)] k=[12, -12, 21, -21]: degree of N4(k_i^2 q_i(x)) in x = 5; s-valuation of the degree-6 form N4(k^2R)/s^2 = 1
bowtie(v1v4 || v2v3) V=[(0, 0), (6, 5), (6, 0), (0, 7)] k=[-30, -42, 42, 30]: degree of N4(k_i^2 q_i(x)) in x = 5; s-valuation of the degree-6 form N4(k^2R)/s^2 = 1
kite V=[(0, 0), (3, -2), (8, 0), (3, 2)] k=[20, -16, 12, -16]: degree of N4(k_i^2 q_i(x)) in x = 6; s-valuation of the degree-6 form N4(k^2R)/s^2 = 0
generic V=[(-5, 4), (20, 18), (21, -7), (10, -21)] k=[-289, 485, -835, 639]: degree of N4(k_i^2 q_i(x)) in x = 6; s-valuation of the degree-6 form N4(k^2R)/s^2 = 0
