//Artin Monoid of type A
    {"Boolean","is_left_divisible",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_is_left_divisible},
    {"Tuple","is_left_divisible_x",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_is_left_divisible_x},
    {"Boolean","is_right_divisible",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_is_right_divisible},
    {"Tuple","is_right_divisible_x",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_is_right_divisible_x},
    {"DualWordA","left_denominator",{"DualMonoidFamilyA"},(void*)mt_left_denominator},
    {"DualWordA","left_lcm",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_left_lcm},
    {"DualWordA","left_lcm_complement",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_left_lcm_complement},
    {"DualWordA","left_gcd",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_left_gcd},
    {"Tuple","left_gcd_x",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_left_gcd_x},
    {"DualWordA","left_numerator",{"DualMonoidFamilyA"},(void*)mt_left_numerator},
    {"DualWordA","left_reverse",{"DualMonoidFamilyA","DualWordA"},(void*)mt_left_reverse},
    {"DualWordA","left_reverse",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_left_reverse2},
    {"DualWordA","right_denominator",{"DualMonoidFamilyA"},(void*)mt_right_denominator},
    {"DualWordA","right_lcm",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_right_lcm},
    {"DualWordA","right_lcm_complement",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_right_lcm_complement},
    {"DualWordA","right_gcd",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_right_gcd},
    {"Tuple","right_gcd_x",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_right_gcd_x},
    {"DualWordA","right_numerator",{"DualMonoidFamilyA"},(void*)mt_right_numerator},
    {"DualWordA","right_reverse",{"DualMonoidFamilyA","DualWordA"},(void*)mt_right_reverse},
    {"DualWordA","right_reverse",{"DualMonoidFamilyA","DualWordA","DualWordA"},(void*)mt_right_reverse2},