Table 1 Real networks and their descriptors.

ID	Network	N	〈k〉	ξ	L	C^Δ	S^Δ	γ	p-value	ℋ	ℱ	ref.
1	Email Network	1133	9.622	0.009	3.606	0.166	17.146	6.775	1.000	0.253	0.925	²⁶
2	Adolescent Health	2539	8.236	0.003	4.559	0.142	38.118	8.244	0.996	0.248	0.902	²⁷
3	Arxiv AstroPh	18772	21.101	0.001	4.194	0.318	239.693	4.496	0.980	0.231	0.992	²⁸
4	NetScience Collaborations	1461	3.754	0.003	5.823	0.693	271.946	3.607	0.401	0.141	0.696	²⁹
5	Science Collaborations	23133	8.078	0.000	5.352	0.264	737.276	3.426	0.310	0.160	0.996	¹⁶
6	Slucene	2956	7.336	0.002	4.499	0.057	22.710	2.187	0.896	0.174	0.894	³⁰
7	AS Caida	16301	4.043	0.000	3.771	0.008	66.782	2.124	1.000	0.070	0.995	³¹
8	Power Grid	4941	2.669	0.001	18.989	0.103	92.461	7.629	1.000	0.094	0.967	⁶
9	Amazon pages	2879	2.700	0.001	3.433	0.023	56.123	3.257	0.000	0.016	0.956	³²
10	Roget’s Thesaurus	1010	7.224	0.007	4.075	0.134	17.770	6.246	0.919	0.250	0.927	³³
11	Autobahn	1168	4.257	0.002	19.419	0.003	0.745	7.050	0.000	0.099	0.998	³⁴
12	Protein Interactions	2018	2.681	0.001	5.611	0.024	23.907	2.782	1.000	0.077	0.971	¹⁶
13	Drosophila Medulla 1	1781	10.007	0.006	2.911	0.069	14.828	3.957	0.986	0.198	0.982	³⁵
14	Mouse Retina 1	1076	168.794	0.157	1.861	0.400	2.526	2.312	0.000	0.693	0.725	³⁶

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