Planar Belyi branching patterns with (infinity,2,3)-Count = 5: 3 (3), (3), (1^3) (1,2), (3), (1,2) 4 (1,3), (1,3), (1,3) (2^2), (1,3), (1,3) (1^2,2), (4), (1,3) (4), (1^2,2), (2^2) (1,3), (1^2,2), (4) (2^2), (1^2,2), (4) 5 (5), (1^3,2), (2,3) (1,4), (2,3), (1^2,3) (2,3), (2,3), (1^2,3) (1^2,3), (2,3), (2,3) (1,2^2), (2,3), (2,3) (5), (1,2^2), (1,2^2) (1,4), (1,2^2), (1,4) (2,3), (1,2^2), (1,4) (1^2,3), (1,2^2), (5) (1,2^2), (1,2^2), (5) 6 (6), (1^4,2), (3^2) (1^2,4), (1,2,3), (3^2) (1,2,3), (1,2,3), (3^2) (2^3), (1,2,3), (3^2) (1^3,3), (2,4), (3^2) (1^2,2^2), (2,4), (3^2) (6), (1^2,2^2), (1,2,3) (6), (2^3), (1^2,2^2) (1,5), (2^3), (1^2,4) (1,5), (2^3), (2^3) (2,4), (2^3), (1^2,4) (2,4), (2^3), (2^3) (3^2), (2^3), (1^2,4) (3^2), (2^3), (2^3) (1^2,4), (2^3), (1,5) (1^2,4), (2^3), (2,4) (1,2,3), (2^3), (1,5) (1,2,3), (2^3), (2,4) (2^3), (2^3), (1,5) (2^3), (2^3), (2,4) (1^3,3), (2^3), (6) (1^2,2^2), (2^3), (6) 7 (7), (1^3,2^2), (1,3^2) (1^2,5), (2^2,3), (1,3^2) (1,2,4), (2^2,3), (1,3^2) (1,3^2), (2^2,3), (1,3^2) (2^2,3), (2^2,3), (1,3^2) (7), (1,2^3), (1^2,2,3) (1,6), (1,2^3), (2^2,3) (2,5), (1,2^3), (2^2,3) (3,4), (1,2^3), (2^2,3) (1^2,5), (1,2^3), (3,4) (1,2,4), (1,2^3), (3,4) (1,3^2), (1,2^3), (3,4) (2^2,3), (1,2^3), (3,4) 8 (8), (1^2,2^3), (1^2,3^2) (1,7), (1^2,2^3), (2,3^2) (2,6), (1^2,2^3), (2,3^2) (3,5), (1^2,2^3), (2,3^2) (4^2), (1^2,2^3), (2,3^2) (8), (2^4), (1^3,2,3) (1,7), (2^4), (1,2^2,3) (2,6), (2^4), (1,2^2,3) (3,5), (2^4), (1,2^2,3) (4^2), (2^4), (1,2^2,3) (1^2,6), (2^4), (1,3,4) (1,2,5), (2^4), (1,3,4) (1,3,4), (2^4), (1,3,4) (2^2,4), (2^4), (1,3,4) (2,3^2), (2^4), (1,3,4) (1^3,5), (2^4), (3,5) (1^2,2,4), (2^4), (3,5) (1^2,3^2), (2^4), (3,5) (1,2^2,3), (2^4), (3,5) (2^4), (2^4), (3,5) 9 (1,8), (1^3,2^3), (3^3) (2,7), (1^3,2^3), (3^3) (3,6), (1^3,2^3), (3^3) (4,5), (1^3,2^3), (3^3) (1^3,6), (2^3,3), (3^3) (1^2,2,5), (2^3,3), (3^3) (1^2,3,4), (2^3,3), (3^3) (1,2^2,4), (2^3,3), (3^3) (1,2,3^2), (2^3,3), (3^3) (2^3,3), (2^3,3), (3^3) (9), (1,2^4), (1^3,3^2) (1,8), (1,2^4), (1,2,3^2) (2,7), (1,2^4), (1,2,3^2) (3,6), (1,2^4), (1,2,3^2) (4,5), (1,2^4), (1,2,3^2) 10 (1,9), (1^2,2^4), (1,3^3) (2,8), (1^2,2^4), (1,3^3) (3,7), (1^2,2^4), (1,3^3) (4,6), (1^2,2^4), (1,3^3) (5^2), (1^2,2^4), (1,3^3) (10), (2^5), (1^4,3^2) (1,9), (2^5), (1^2,2,3^2) (2,8), (2^5), (1^2,2,3^2) (3,7), (2^5), (1^2,2,3^2) (4,6), (2^5), (1^2,2,3^2) (5^2), (2^5), (1^2,2,3^2) (1^2,8), (2^5), (2^2,3^2) (1,2,7), (2^5), (2^2,3^2) (1,3,6), (2^5), (2^2,3^2) (1,4,5), (2^5), (2^2,3^2) (2^2,6), (2^5), (2^2,3^2) (2,3,5), (2^5), (2^2,3^2) (2,4^2), (2^5), (2^2,3^2) (3^2,4), (2^5), (2^2,3^2) (1^3,7), (2^5), (3^2,4) (1^2,2,6), (2^5), (3^2,4) (1^2,3,5), (2^5), (3^2,4) (1^2,4^2), (2^5), (3^2,4) (1,2^2,5), (2^5), (3^2,4) (1,2,3,4), (2^5), (3^2,4) (1,3^3), (2^5), (3^2,4) (2^3,4), (2^5), (3^2,4) (2^2,3^2), (2^5), (3^2,4) 11 (1,10), (1,2^5), (1^2,3^3) (2,9), (1,2^5), (1^2,3^3) (3,8), (1,2^5), (1^2,3^3) (4,7), (1,2^5), (1^2,3^3) (5,6), (1,2^5), (1^2,3^3) (1^2,9), (1,2^5), (2,3^3) (1,2,8), (1,2^5), (2,3^3) (1,3,7), (1,2^5), (2,3^3) (1,4,6), (1,2^5), (2,3^3) (1,5^2), (1,2^5), (2,3^3) (2^2,7), (1,2^5), (2,3^3) (2,3,6), (1,2^5), (2,3^3) (2,4,5), (1,2^5), (2,3^3) (3^2,5), (1,2^5), (2,3^3) (3,4^2), (1,2^5), (2,3^3) 12 (1^2,10), (1^2,2^5), (3^4) (1,2,9), (1^2,2^5), (3^4) (1,3,8), (1^2,2^5), (3^4) (1,4,7), (1^2,2^5), (3^4) (1,5,6), (1^2,2^5), (3^4) (2^2,8), (1^2,2^5), (3^4) (2,3,7), (1^2,2^5), (3^4) (2,4,6), (1^2,2^5), (3^4) (2,5^2), (1^2,2^5), (3^4) (3^2,6), (1^2,2^5), (3^4) (3,4,5), (1^2,2^5), (3^4) (4^3), (1^2,2^5), (3^4) (1,11), (2^6), (1^3,3^3) (2,10), (2^6), (1^3,3^3) (3,9), (2^6), (1^3,3^3) (4,8), (2^6), (1^3,3^3) (5,7), (2^6), (1^3,3^3) (6^2), (2^6), (1^3,3^3) (1^2,10), (2^6), (1,2,3^3) (1,2,9), (2^6), (1,2,3^3) (1,3,8), (2^6), (1,2,3^3) (1,4,7), (2^6), (1,2,3^3) (1,5,6), (2^6), (1,2,3^3) (2^2,8), (2^6), (1,2,3^3) (2,3,7), (2^6), (1,2,3^3) (2,4,6), (2^6), (1,2,3^3) (2,5^2), (2^6), (1,2,3^3) (3^2,6), (2^6), (1,2,3^3) (3,4,5), (2^6), (1,2,3^3) (4^3), (2^6), (1,2,3^3) 13 (1^2,11), (1,2^6), (1,3^4) (1,2,10), (1,2^6), (1,3^4) (1,3,9), (1,2^6), (1,3^4) (1,4,8), (1,2^6), (1,3^4) (1,5,7), (1,2^6), (1,3^4) (1,6^2), (1,2^6), (1,3^4) (2^2,9), (1,2^6), (1,3^4) (2,3,8), (1,2^6), (1,3^4) (2,4,7), (1,2^6), (1,3^4) (2,5,6), (1,2^6), (1,3^4) (3^2,7), (1,2^6), (1,3^4) (3,4,6), (1,2^6), (1,3^4) (3,5^2), (1,2^6), (1,3^4) (4^2,5), (1,2^6), (1,3^4) 14 (1^2,12), (2^7), (1^2,3^4) (1,2,11), (2^7), (1^2,3^4) (1,3,10), (2^7), (1^2,3^4) (1,4,9), (2^7), (1^2,3^4) (1,5,8), (2^7), (1^2,3^4) (1,6,7), (2^7), (1^2,3^4) (2^2,10), (2^7), (1^2,3^4) (2,3,9), (2^7), (1^2,3^4) (2,4,8), (2^7), (1^2,3^4) (2,5,7), (2^7), (1^2,3^4) (2,6^2), (2^7), (1^2,3^4) (3^2,8), (2^7), (1^2,3^4) (3,4,7), (2^7), (1^2,3^4) (3,5,6), (2^7), (1^2,3^4) (4^2,6), (2^7), (1^2,3^4) (4,5^2), (2^7), (1^2,3^4) (1^3,11), (2^7), (2,3^4) (1^2,2,10), (2^7), (2,3^4) (1^2,3,9), (2^7), (2,3^4) (1^2,4,8), (2^7), (2,3^4) (1^2,5,7), (2^7), (2,3^4) (1^2,6^2), (2^7), (2,3^4) (1,2^2,9), (2^7), (2,3^4) (1,2,3,8), (2^7), (2,3^4) (1,2,4,7), (2^7), (2,3^4) (1,2,5,6), (2^7), (2,3^4) (1,3^2,7), (2^7), (2,3^4) (1,3,4,6), (2^7), (2,3^4) (1,3,5^2), (2^7), (2,3^4) (1,4^2,5), (2^7), (2,3^4) (2^3,8), (2^7), (2,3^4) (2^2,3,7), (2^7), (2,3^4) (2^2,4,6), (2^7), (2,3^4) (2^2,5^2), (2^7), (2,3^4) (2,3^2,6), (2^7), (2,3^4) (2,3,4,5), (2^7), (2,3^4) (2,4^3), (2^7), (2,3^4) (3^3,5), (2^7), (2,3^4) (3^2,4^2), (2^7), (2,3^4) 15 (1^3,12), (1,2^7), (3^5) (1^2,2,11), (1,2^7), (3^5) (1^2,3,10), (1,2^7), (3^5) (1^2,4,9), (1,2^7), (3^5) (1^2,5,8), (1,2^7), (3^5) (1^2,6,7), (1,2^7), (3^5) (1,2^2,10), (1,2^7), (3^5) (1,2,3,9), (1,2^7), (3^5) (1,2,4,8), (1,2^7), (3^5) (1,2,5,7), (1,2^7), (3^5) (1,2,6^2), (1,2^7), (3^5) (1,3^2,8), (1,2^7), (3^5) (1,3,4,7), (1,2^7), (3^5) (1,3,5,6), (1,2^7), (3^5) (1,4^2,6), (1,2^7), (3^5) (1,4,5^2), (1,2^7), (3^5) (2^3,9), (1,2^7), (3^5) (2^2,3,8), (1,2^7), (3^5) (2^2,4,7), (1,2^7), (3^5) (2^2,5,6), (1,2^7), (3^5) (2,3^2,7), (1,2^7), (3^5) (2,3,4,6), (1,2^7), (3^5) (2,3,5^2), (1,2^7), (3^5) (2,4^2,5), (1,2^7), (3^5) (3^3,6), (1,2^7), (3^5) (3^2,4,5), (1,2^7), (3^5) (3,4^3), (1,2^7), (3^5) 16 (1^3,13), (2^8), (1,3^5) (1^2,2,12), (2^8), (1,3^5) (1^2,3,11), (2^8), (1,3^5) (1^2,4,10), (2^8), (1,3^5) (1^2,5,9), (2^8), (1,3^5) (1^2,6,8), (2^8), (1,3^5) (1^2,7^2), (2^8), (1,3^5) (1,2^2,11), (2^8), (1,3^5) (1,2,3,10), (2^8), (1,3^5) (1,2,4,9), (2^8), (1,3^5) (1,2,5,8), (2^8), (1,3^5) (1,2,6,7), (2^8), (1,3^5) (1,3^2,9), (2^8), (1,3^5) (1,3,4,8), (2^8), (1,3^5) (1,3,5,7), (2^8), (1,3^5) (1,3,6^2), (2^8), (1,3^5) (1,4^2,7), (2^8), (1,3^5) (1,4,5,6), (2^8), (1,3^5) (1,5^3), (2^8), (1,3^5) (2^3,10), (2^8), (1,3^5) (2^2,3,9), (2^8), (1,3^5) (2^2,4,8), (2^8), (1,3^5) (2^2,5,7), (2^8), (1,3^5) (2^2,6^2), (2^8), (1,3^5) (2,3^2,8), (2^8), (1,3^5) (2,3,4,7), (2^8), (1,3^5) (2,3,5,6), (2^8), (1,3^5) (2,4^2,6), (2^8), (1,3^5) (2,4,5^2), (2^8), (1,3^5) (3^3,7), (2^8), (1,3^5) (3^2,4,6), (2^8), (1,3^5) (3^2,5^2), (2^8), (1,3^5) (3,4^2,5), (2^8), (1,3^5) (4^4), (2^8), (1,3^5) 18 (1^4,14), (2^9), (3^6) (1^3,2,13), (2^9), (3^6) (1^3,3,12), (2^9), (3^6) (1^3,4,11), (2^9), (3^6) (1^3,5,10), (2^9), (3^6) (1^3,6,9), (2^9), (3^6) (1^3,7,8), (2^9), (3^6) (1^2,2^2,12), (2^9), (3^6) (1^2,2,3,11), (2^9), (3^6) (1^2,2,4,10), (2^9), (3^6) (1^2,2,5,9), (2^9), (3^6) (1^2,2,6,8), (2^9), (3^6) (1^2,2,7^2), (2^9), (3^6) (1^2,3^2,10), (2^9), (3^6) (1^2,3,4,9), (2^9), (3^6) (1^2,3,5,8), (2^9), (3^6) (1^2,3,6,7), (2^9), (3^6) (1^2,4^2,8), (2^9), (3^6) (1^2,4,5,7), (2^9), (3^6) (1^2,4,6^2), (2^9), (3^6) (1^2,5^2,6), (2^9), (3^6) (1,2^3,11), (2^9), (3^6) (1,2^2,3,10), (2^9), (3^6) (1,2^2,4,9), (2^9), (3^6) (1,2^2,5,8), (2^9), (3^6) (1,2^2,6,7), (2^9), (3^6) (1,2,3^2,9), (2^9), (3^6) (1,2,3,4,8), (2^9), (3^6) (1,2,3,5,7), (2^9), (3^6) (1,2,3,6^2), (2^9), (3^6) (1,2,4^2,7), (2^9), (3^6) (1,2,4,5,6), (2^9), (3^6) (1,2,5^3), (2^9), (3^6) (1,3^3,8), (2^9), (3^6) (1,3^2,4,7), (2^9), (3^6) (1,3^2,5,6), (2^9), (3^6) (1,3,4^2,6), (2^9), (3^6) (1,3,4,5^2), (2^9), (3^6) (1,4^3,5), (2^9), (3^6) (2^4,10), (2^9), (3^6) (2^3,3,9), (2^9), (3^6) (2^3,4,8), (2^9), (3^6) (2^3,5,7), (2^9), (3^6) (2^3,6^2), (2^9), (3^6) (2^2,3^2,8), (2^9), (3^6) (2^2,3,4,7), (2^9), (3^6) (2^2,3,5,6), (2^9), (3^6) (2^2,4^2,6), (2^9), (3^6) (2^2,4,5^2), (2^9), (3^6) (2,3^3,7), (2^9), (3^6) (2,3^2,4,6), (2^9), (3^6) (2,3^2,5^2), (2^9), (3^6) (2,3,4^2,5), (2^9), (3^6) (2,4^4), (2^9), (3^6) (3^4,6), (2^9), (3^6) (3^3,4,5), (2^9), (3^6) (3^2,4^3), (2^9), (3^6) Planar Belyi-(1) branching patterns with (infinity,2,3)-Count = 5: 2 (2), (1^2), (1^2) (1^2), (1^2), (2) 3 (1,2), (1^3), (3) (3), (1,2), (1^3) (1,2), (1,2), (1,2) 4 (1,3), (1^2,2), (1,3) (2^2), (1^2,2), (1,3) (4), (2^2), (1^4) (1,3), (2^2), (1^2,2) (2^2), (2^2), (1^2,2) (1^2,2), (2^2), (2^2) (1^4), (2^2), (4) 5 (1,4), (1,2^2), (1^2,3) (2,3), (1,2^2), (1^2,3) (1^2,3), (1,2^2), (2,3) (1,2^2), (1,2^2), (2,3) 6 (1^2,4), (1^2,2^2), (3^2) (1,2,3), (1^2,2^2), (3^2) (2^3), (1^2,2^2), (3^2) (1,5), (2^3), (1^3,3) (2,4), (2^3), (1^3,3) (3^2), (2^3), (1^3,3) (1^2,4), (2^3), (1,2,3) (1,2,3), (2^3), (1,2,3) (2^3), (2^3), (1,2,3) 7 (1^2,5), (1,2^3), (1,3^2) (1,2,4), (1,2^3), (1,3^2) (1,3^2), (1,2^3), (1,3^2) (2^2,3), (1,2^3), (1,3^2) 8 (1^2,6), (2^4), (1^2,3^2) (1,2,5), (2^4), (1^2,3^2) (1,3,4), (2^4), (1^2,3^2) (2^2,4), (2^4), (1^2,3^2) (2,3^2), (2^4), (1^2,3^2) (1^3,5), (2^4), (2,3^2) (1^2,2,4), (2^4), (2,3^2) (1^2,3^2), (2^4), (2,3^2) (1,2^2,3), (2^4), (2,3^2) (2^4), (2^4), (2,3^2) 9 (1^3,6), (1,2^4), (3^3) (1^2,2,5), (1,2^4), (3^3) (1^2,3,4), (1,2^4), (3^3) (1,2^2,4), (1,2^4), (3^3) (1,2,3^2), (1,2^4), (3^3) (2^3,3), (1,2^4), (3^3) 10 (1^3,7), (2^5), (1,3^3) (1^2,2,6), (2^5), (1,3^3) (1^2,3,5), (2^5), (1,3^3) (1^2,4^2), (2^5), (1,3^3) (1,2^2,5), (2^5), (1,3^3) (1,2,3,4), (2^5), (1,3^3) (1,3^3), (2^5), (1,3^3) (2^3,4), (2^5), (1,3^3) (2^2,3^2), (2^5), (1,3^3) 12 (1^4,8), (2^6), (3^4) (1^3,2,7), (2^6), (3^4) (1^3,3,6), (2^6), (3^4) (1^3,4,5), (2^6), (3^4) (1^2,2^2,6), (2^6), (3^4) (1^2,2,3,5), (2^6), (3^4) (1^2,2,4^2), (2^6), (3^4) (1^2,3^2,4), (2^6), (3^4) (1,2^3,5), (2^6), (3^4) (1,2^2,3,4), (2^6), (3^4) (1,2,3^3), (2^6), (3^4) (2^4,4), (2^6), (3^4) (2^3,3^2), (2^6), (3^4) Planar Belyi-(2) branching patterns with (infinity,2,3)-Count = 5: 4 (1^4), (2^2), (1,3) 6 (1^4,2), (2^3), (3^2) Planar Belyi branching patterns with (infinity,2,4)-Count = 5: 3 (3), (3), (1^3) (3), (1^3), (3) (1,2), (3), (1,2) (1^3), (3), (3) 4 (4), (1^4), (4) (1^2,2), (1,3), (4) (1^4), (4), (4) (4), (1^2,2), (1,3) (4), (1^2,2), (2^2) 5 (5), (1^3,2), (1,4) (1^2,3), (2,3), (1,4) (1,2^2), (2,3), (1,4) (5), (1,2^2), (1^2,3) (5), (1,2^2), (1,2^2) (1,4), (1,2^2), (2,3) (2,3), (1,2^2), (2,3) (1^2,3), (1,2^2), (5) (1,2^2), (1,2^2), (5) 6 (6), (1^2,2^2), (1^2,4) (1,5), (1^2,2^2), (2,4) (2,4), (1^2,2^2), (2,4) (3^2), (1^2,2^2), (2,4) (6), (2^3), (1^3,3) (6), (2^3), (1^2,2^2) (1,5), (2^3), (1,2,3) (1,5), (2^3), (2^3) (2,4), (2^3), (1,2,3) (2,4), (2^3), (2^3) (3^2), (2^3), (1,2,3) (3^2), (2^3), (2^3) (1^2,4), (2^3), (1,5) (1^2,4), (2^3), (3^2) (1,2,3), (2^3), (1,5) (1,2,3), (2^3), (3^2) (2^3), (2^3), (1,5) (2^3), (2^3), (3^2) (1^3,3), (2^3), (6) (1^2,2^2), (2^3), (6) 7 (7), (1,2^3), (1^3,4) (1,6), (1,2^3), (1,2,4) (2,5), (1,2^3), (1,2,4) (3,4), (1,2^3), (1,2,4) (1^2,5), (1,2^3), (3,4) (1,2,4), (1,2^3), (3,4) (1,3^2), (1,2^3), (3,4) (2^2,3), (1,2^3), (3,4) 8 (1^2,6), (1^2,2^3), (4^2) (1,2,5), (1^2,2^3), (4^2) (1,3,4), (1^2,2^3), (4^2) (2^2,4), (1^2,2^3), (4^2) (2,3^2), (1^2,2^3), (4^2) (8), (2^4), (1^4,4) (1,7), (2^4), (1^2,2,4) (2,6), (2^4), (1^2,2,4) (3,5), (2^4), (1^2,2,4) (4^2), (2^4), (1^2,2,4) (1^2,6), (2^4), (1,3,4) (1^2,6), (2^4), (2^2,4) (1,2,5), (2^4), (1,3,4) (1,2,5), (2^4), (2^2,4) (1,3,4), (2^4), (1,3,4) (1,3,4), (2^4), (2^2,4) (2^2,4), (2^4), (1,3,4) (2^2,4), (2^4), (2^2,4) (2,3^2), (2^4), (1,3,4) (2,3^2), (2^4), (2^2,4) 9 (1^2,7), (1,2^4), (1,4^2) (1,2,6), (1,2^4), (1,4^2) (1,3,5), (1,2^4), (1,4^2) (1,4^2), (1,2^4), (1,4^2) (2^2,5), (1,2^4), (1,4^2) (2,3,4), (1,2^4), (1,4^2) (3^3), (1,2^4), (1,4^2) 10 (1^2,8), (2^5), (1^2,4^2) (1,2,7), (2^5), (1^2,4^2) (1,3,6), (2^5), (1^2,4^2) (1,4,5), (2^5), (1^2,4^2) (2^2,6), (2^5), (1^2,4^2) (2,3,5), (2^5), (1^2,4^2) (2,4^2), (2^5), (1^2,4^2) (3^2,4), (2^5), (1^2,4^2) (1^3,7), (2^5), (2,4^2) (1^2,2,6), (2^5), (2,4^2) (1^2,3,5), (2^5), (2,4^2) (1^2,4^2), (2^5), (2,4^2) (1,2^2,5), (2^5), (2,4^2) (1,2,3,4), (2^5), (2,4^2) (1,3^3), (2^5), (2,4^2) (2^3,4), (2^5), (2,4^2) (2^2,3^2), (2^5), (2,4^2) 12 (1^4,8), (2^6), (4^3) (1^3,2,7), (2^6), (4^3) (1^3,3,6), (2^6), (4^3) (1^3,4,5), (2^6), (4^3) (1^2,2^2,6), (2^6), (4^3) (1^2,2,3,5), (2^6), (4^3) (1^2,2,4^2), (2^6), (4^3) (1^2,3^2,4), (2^6), (4^3) (1,2^3,5), (2^6), (4^3) (1,2^2,3,4), (2^6), (4^3) (1,2,3^3), (2^6), (4^3) (2^4,4), (2^6), (4^3) (2^3,3^2), (2^6), (4^3) Planar Belyi-(1) branching patterns with (infinity,2,4)-Count = 5: 2 (2), (1^2), (1^2) (1^2), (1^2), (2) 3 (3), (1,2), (1^3) (1,2), (1,2), (1,2) (1^3), (1,2), (3) 4 (1^2,2), (1^2,2), (4) (4), (2^2), (1^4) (1,3), (2^2), (1^2,2) (2^2), (2^2), (1^2,2) (1^2,2), (2^2), (1,3) (1^2,2), (2^2), (2^2) 5 (1^2,3), (1,2^2), (1,4) (1,2^2), (1,2^2), (1,4) 6 (1^2,4), (2^3), (1^2,4) (1,2,3), (2^3), (1^2,4) (2^3), (2^3), (1^2,4) (1^3,3), (2^3), (2,4) (1^2,2^2), (2^3), (2,4) 8 (1^4,4), (2^4), (4^2) (1^3,2,3), (2^4), (4^2) (1^2,2^3), (2^4), (4^2) Planar Belyi branching patterns with (infinity,2,6)-Count = 5: 3 (3), (3), (1^3) (3), (1^3), (3) (1,2), (3), (1,2) (1^3), (3), (3) 4 (4), (1^2,2), (1,3) (4), (1^2,2), (2^2) (1,3), (1^2,2), (4) (2^2), (1^2,2), (4) 5 (5), (1,2^2), (1^2,3) (5), (1,2^2), (1,2^2) (1,4), (1,2^2), (1,4) (1,4), (1,2^2), (2,3) (2,3), (1,2^2), (1,4) (2,3), (1,2^2), (2,3) (1^2,3), (1,2^2), (5) (1,2^2), (1,2^2), (5) 6 (1^2,4), (1^2,2^2), (6) (1,2,3), (1^2,2^2), (6) (2^3), (1^2,2^2), (6) (6), (2^3), (1^3,3) (6), (2^3), (1^2,2^2) (1,5), (2^3), (1^2,4) (1,5), (2^3), (1,2,3) (1,5), (2^3), (2^3) (2,4), (2^3), (1^2,4) (2,4), (2^3), (1,2,3) (2,4), (2^3), (2^3) (3^2), (2^3), (1^2,4) (3^2), (2^3), (1,2,3) (3^2), (2^3), (2^3) (1^2,4), (2^3), (1,5) (1^2,4), (2^3), (2,4) (1^2,4), (2^3), (3^2) (1,2,3), (2^3), (1,5) (1,2,3), (2^3), (2,4) (1,2,3), (2^3), (3^2) (2^3), (2^3), (1,5) (2^3), (2^3), (2,4) (2^3), (2^3), (3^2) 7 (1^2,5), (1,2^3), (1,6) (1,2,4), (1,2^3), (1,6) (1,3^2), (1,2^3), (1,6) (2^2,3), (1,2^3), (1,6) 8 (1^2,6), (2^4), (1^2,6) (1,2,5), (2^4), (1^2,6) (1,3,4), (2^4), (1^2,6) (2^2,4), (2^4), (1^2,6) (2,3^2), (2^4), (1^2,6) (1^3,5), (2^4), (2,6) (1^2,2,4), (2^4), (2,6) (1^2,3^2), (2^4), (2,6) (1,2^2,3), (2^4), (2,6) (2^4), (2^4), (2,6) Planar Belyi-(1) branching patterns with (infinity,2,6)-Count = 5: 2 (2), (1^2), (1^2) (1^2), (1^2), (2) 3 (3), (1,2), (1^3) (1,2), (1,2), (1,2) (1^3), (1,2), (3) 4 (4), (2^2), (1^4) (1,3), (2^2), (1^2,2) (2^2), (2^2), (1^2,2) (1^2,2), (2^2), (1,3) (1^2,2), (2^2), (2^2) (1^4), (2^2), (4) 6 (1^4,2), (2^3), (6) Planar Belyi branching patterns with (infinity,2,3)-Count = 4: 2 (2), (1^2), (2) 3 (3), (1^3), (3) (1^3), (3), (3) (3), (1,2), (1,2) 4 (4), (1^2,2), (1,3) (4), (2^2), (1^2,2) (1,3), (2^2), (2^2) (2^2), (2^2), (2^2) (1^2,2), (2^2), (4) 5 (5), (1,2^2), (1^2,3) (1,4), (1,2^2), (2,3) (2,3), (1,2^2), (2,3) 6 (1,5), (1^2,2^2), (3^2) (2,4), (1^2,2^2), (3^2) (3^2), (1^2,2^2), (3^2) (6), (2^3), (1^3,3) (1,5), (2^3), (1,2,3) (2,4), (2^3), (1,2,3) (3^2), (2^3), (1,2,3) 7 (1,6), (1,2^3), (1,3^2) (2,5), (1,2^3), (1,3^2) (3,4), (1,2^3), (1,3^2) 8 (1,7), (2^4), (1^2,3^2) (2,6), (2^4), (1^2,3^2) (3,5), (2^4), (1^2,3^2) (4^2), (2^4), (1^2,3^2) (1^2,6), (2^4), (2,3^2) (1,2,5), (2^4), (2,3^2) (1,3,4), (2^4), (2,3^2) (2^2,4), (2^4), (2,3^2) (2,3^2), (2^4), (2,3^2) 9 (1^2,7), (1,2^4), (3^3) (1,2,6), (1,2^4), (3^3) (1,3,5), (1,2^4), (3^3) (1,4^2), (1,2^4), (3^3) (2^2,5), (1,2^4), (3^3) (2,3,4), (1,2^4), (3^3) (3^3), (1,2^4), (3^3) 10 (1^2,8), (2^5), (1,3^3) (1,2,7), (2^5), (1,3^3) (1,3,6), (2^5), (1,3^3) (1,4,5), (2^5), (1,3^3) (2^2,6), (2^5), (1,3^3) (2,3,5), (2^5), (1,3^3) (2,4^2), (2^5), (1,3^3) (3^2,4), (2^5), (1,3^3) 12 (1^3,9), (2^6), (3^4) (1^2,2,8), (2^6), (3^4) (1^2,3,7), (2^6), (3^4) (1^2,4,6), (2^6), (3^4) (1^2,5^2), (2^6), (3^4) (1,2^2,7), (2^6), (3^4) (1,2,3,6), (2^6), (3^4) (1,2,4,5), (2^6), (3^4) (1,3^2,5), (2^6), (3^4) (1,3,4^2), (2^6), (3^4) (2^3,6), (2^6), (3^4) (2^2,3,5), (2^6), (3^4) (2^2,4^2), (2^6), (3^4) (2,3^2,4), (2^6), (3^4) (3^4), (2^6), (3^4) Planar Belyi-(1) branching patterns with (infinity,2,3)-Count = 4: 2 (1^2), (2), (1^2) 3 (1^3), (1,2), (3) 4 (1^2,2), (2^2), (1,3) 6 (1^3,3), (2^3), (3^2) (1^2,2^2), (2^3), (3^2) Planar Belyi branching patterns with (infinity,2,4)-Count = 4: 2 (2), (1^2), (2) 3 (3), (1,2), (1,2) (1,2), (1,2), (3) 4 (1,3), (1^2,2), (4) (2^2), (1^2,2), (4) (4), (2^2), (1^2,2) (1,3), (2^2), (1,3) (1,3), (2^2), (2^2) (2^2), (2^2), (1,3) (2^2), (2^2), (2^2) 5 (1,4), (1,2^2), (1,4) (2,3), (1,2^2), (1,4) 6 (1,5), (2^3), (1^2,4) (2,4), (2^3), (1^2,4) (3^2), (2^3), (1^2,4) (1^2,4), (2^3), (2,4) (1,2,3), (2^3), (2,4) (2^3), (2^3), (2,4) 8 (1^3,5), (2^4), (4^2) (1^2,2,4), (2^4), (4^2) (1^2,3^2), (2^4), (4^2) (1,2^2,3), (2^4), (4^2) (2^4), (2^4), (4^2) Planar Belyi-(1) branching patterns with (infinity,2,4)-Count = 4: 2 (1^2), (2), (1^2) 4 (1^4), (2^2), (4) Planar Belyi branching patterns with (infinity,2,6)-Count = 4: 2 (2), (1^2), (2) 3 (3), (1,2), (1,2) (1,2), (1,2), (3) 4 (4), (2^2), (1^2,2) (1,3), (2^2), (1,3) (1,3), (2^2), (2^2) (2^2), (2^2), (1,3) (2^2), (2^2), (2^2) (1^2,2), (2^2), (4) 6 (1^3,3), (2^3), (6) (1^2,2^2), (2^3), (6) Planar Belyi-(1) branching patterns with (infinity,2,6)-Count = 4: 2 (1^2), (2), (1^2) Planar Belyi branching patterns with (infinity,2,3)-Count = 3: 1 (1), (1), (1) 2 (2), (2), (1^2) (1^2), (2), (2) 3 (1,2), (1,2), (3) 4 (1,3), (2^2), (1,3) (2^2), (2^2), (1,3) 6 (1^2,4), (2^3), (3^2) (1,2,3), (2^3), (3^2) (2^3), (2^3), (3^2) Planar Belyi branching patterns with (infinity,2,4)-Count = 3: 1 (1), (1), (1) 2 (2), (2), (1^2) (1^2), (2), (2) 4 (1^2,2), (2^2), (4) Planar Belyi branching patterns with (infinity,2,6)-Count = 3: 1 (1), (1), (1) 2 (2), (2), (1^2) (1^2), (2), (2)