Simple multiloops with 12 or fewer regions

65 multiloops total. By number of regions, the number of simple multiloops follows the sequence 1, 0, 1, 0, 4, 0, 10, 0, 49, 0, 336, 0, 3154... which has not yet been found on oeis.org.

4^2_1 $4^{2}_{1}$
6^2_1 $6^{2}_{1}$
8^2_1 $8^{2}_{1}$
8^2_2 $8^{2}_{2}$
8^3_1 $8^{3}_{1}$
8^3_2 $8^{3}_{2}$
10^2_1 $10^{2}_{1}$
10^2_2 $10^{2}_{2}$
10^2_5 $10^{2}_{5}$
10^2_25 $10^{2}_{25}$
10^3_3 $10^{3}_{3}$
10^3_4 $10^{3}_{4}$
10^3_5 $10^{3}_{5}$
10^3_6 $10^{3}_{6}$
10^3_7 $10^{3}_{7}$
10^4_1 $10^{4}_{1}$
12^2_1 $12^{2}_{1}$
12^2_2 $12^{2}_{2}$
12^2_3 $12^{2}_{3}$
12^2_17 $12^{2}_{17}$
12^2_28 $12^{2}_{28}$
12^2_31 $12^{2}_{31}$
12^2_36 $12^{2}_{36}$
12^2_37 $12^{2}_{37}$
12^2_38 $12^{2}_{38}$
12^2_279 $12^{2}_{279}$
12^2_284 $12^{2}_{284}$
12^2_285 $12^{2}_{285}$
12^2_337 $12^{2}_{337}$
12^3_8 $12^{3}_{8}$
12^3_11 $12^{3}_{11}$
12^3_46 $12^{3}_{46}$
12^3_54 $12^{3}_{54}$
12^3_55 $12^{3}_{55}$
12^3_56 $12^{3}_{56}$
12^3_57 $12^{3}_{57}$
12^3_58 $12^{3}_{58}$
12^3_59 $12^{3}_{59}$
12^3_60 $12^{3}_{60}$
12^3_61 $12^{3}_{61}$
12^3_62 $12^{3}_{62}$
12^3_63 $12^{3}_{63}$
12^3_64 $12^{3}_{64}$
12^3_65 $12^{3}_{65}$
12^3_66 $12^{3}_{66}$
12^3_67 $12^{3}_{67}$
12^3_71 $12^{3}_{71}$
12^3_77 $12^{3}_{77}$
12^3_79 $12^{3}_{79}$
12^3_80 $12^{3}_{80}$
12^3_81 $12^{3}_{81}$
12^3_82 $12^{3}_{82}$
12^3_83 $12^{3}_{83}$
12^3_84 $12^{3}_{84}$
12^3_85 $12^{3}_{85}$
12^4_1 $12^{4}_{1}$
12^4_5 $12^{4}_{5}$
12^4_6 $12^{4}_{6}$
12^4_7 $12^{4}_{7}$
12^4_8 $12^{4}_{8}$
12^4_9 $12^{4}_{9}$
12^4_10 $12^{4}_{10}$
12^4_11 $12^{4}_{11}$
12^4_12 $12^{4}_{12}$
12^5_1 $12^{5}_{1}$

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