The Belyi maps in this puzzle are defined on elliptic curves with conductor norms 61250 and 49000, respectively.
,(1,2,3,4),(1,3)(2,4,5,6,7).png "(1,2,3,7,6,5,4)_(1,2,3,4)_(1,3)(2,4,5,6,7)")
,(1,2,3,4),(1,3,5,4,6)(2,7).png "(1,5,3,7,2,6,4)_(1,2,3,4)_(1,3,5,4,6)(2,7)")
,(1,2,3,4),(1,2,3,6,7)(4,5).png "(1,5,4,2,7,6,3)_(1,2,3,4)_(1,2,3,6,7)(4,5)")
,(1,2,3,4),(1,3)(2,5,4,6,7).png "(1,5,2,3,7,6,4)_(1,2,3,4)_(1,3)(2,5,4,6,7)")
,(1,2,3,4),(1,7,2,3,6)(4,5).png "(1,5,4,2,6,3,7)_(1,2,3,4)_(1,7,2,3,6)(4,5)")
,(1,4,3,2),(1,6,3,2,7)(4,5).png "(1,7,3,6,2,4,5)_(1,4,3,2)_(1,6,3,2,7)(4,5)")
,(1,2,3,4),(1,2,4,6,7)(3,5).png "(1,2,7,6,4,5,3)_(1,2,3,4)_(1,2,4,6,7)(3,5)")
,(1,4,3,2),(1,7,6,4,2)(3,5).png "(1,3,5,4,6,7,2)_(1,4,3,2)_(1,7,6,4,2)(3,5)")