APN functions obtained via polynomial expansion in small dimensions

ID	Representative	Equivalent to	Orthoderivative diff. spec.
8.1	$\alpha ^{170}x^{192}+\alpha ^{85}x^{132}+x^{6}+x^{3}$	SW 19	$0^{37872},2^{22788},4^{4068},6^{492},8^{60}$
8.2	$x^{66}+\alpha ^{85}x^{33}+x^{18}+x^{9}+x^{3}$	SW 11	$0^{38040},2^{22461},4^{4218},6^{513},8^{36},10^{12}$
8.3	$x^{66}+\alpha ^{85}x^{33}+\alpha ^{17}x^{9}+\alpha ^{102}x^{6}+x^{3}$	SW 13	$0^{38076},2^{22311},4^{4374},6^{495},8^{24}$
8.4	$\alpha ^{85}x^{132}+\alpha ^{85}x^{72}+x^{9}+x^{6}+x^{3}$	SW 12	$0^{38160},2^{22104},4^{4536},6^{456},8^{24}$
8.5	$x^{66}+x^{12}+\alpha ^{85}x^{6}+x^{3}$	SW 6	$0^{38160},2^{22164},4^{4428},6^{492},8^{36}$
8.6	$x^{129}+\alpha ^{85}x^{24}+x^{12}+x^{9}+x^{3}$	SW 8	$0^{38184},2^{22179},4^{4338},6^{531},8^{48}$
8.7	$\alpha ^{170}x^{132}+\alpha ^{85}x^{66}+\alpha ^{85}x^{18}+x^{3}$	new	$0^{38196},2^{22008},4^{4608},6^{456},8^{12}$
8.8	$\alpha ^{85}x^{132}+\alpha ^{85}x^{72}+x^{36}+x^{24}+x^{3}$	SW 9	$0^{38256},2^{22116},4^{4230},6^{648},8^{30}$
8.9	$\alpha ^{85}x^{192}+x^{72}+x^{33}+x^{24}+x^{9}+\alpha ^{153}x^{6}$	SW 17	$0^{38388},2^{21723},4^{4626},6^{507},8^{36}$
8.10	Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \alpha ^{221}x^{96}+\alpha ^{221}x^{33}+x^{12}+x^{9}+x^{6}+\alpha ^{187}*x^{3}}	SW 10	$0^{38439},2^{21618},4^{4671},6^{528},8^{24}$
8.11	$\alpha ^{238}x^{144}+x^{132}+\alpha ^{51}x^{96}+\alpha ^{119}x^{48}+x^{33}+x^{9}$	SW 16	$0^{38457},2^{21552},4^{4743},6^{510},8^{18}$
8.12	$\alpha ^{204}x^{160}+\alpha ^{51}x^{48}+\alpha ^{102}x^{12}+\alpha ^{204}x^{10}+x^{9}$	SW 22	$0^{38844},2^{20974},4^{4764},6^{654},8^{44}$
8.13	$\alpha ^{160}x^{132}+\alpha ^{10}x^{72}+x^{48}+\alpha x^{34}+\alpha ^{3}x^{33}+\alpha ^{48}x^{18}+x^{17}+x^{3}$	B 31	$0^{39150},2^{20463},4^{4920},6^{675},8^{54},10^{12},12^{6}$
8.14	$x^{144}+\alpha ^{85}x^{96}+\alpha ^{170}x^{80}+\alpha ^{85}x^{65}+\alpha ^{85}x^{17}+x^{9}+x^{5}$	B 12668	$0^{39408},2^{20072},4^{4922},6^{798},8^{70},10^{10}$
8.15	$x^{66}+\alpha ^{170}x^{40}+x^{18}+\alpha ^{85}x^{5}+x^{3}$	Y 4346	$0^{39408},2^{20218},4^{4692},6^{838},8^{104},10^{12},12^{8}$
8.16	$x^{160}+x^{132}+x^{80}+x^{68}+x^{6}+x^{3}$	SW 20	$0^{39692},2^{19752},4^{4756},6^{978},8^{72},10^{26},12^{4}$