(1 - r) r We will assume the hypothesis that the monomial , (a A) (B b) , 1 is proportional to, -------------- binomial(1, r) The scheme that yields the generating functions for 1 / | (1 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child {} (2 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(2, r) The scheme that yields the generating functions for 1 / | (2 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child {} (3 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(3, r) The scheme that yields the generating functions for 1 / | (3 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 3 3 2 {A B a , B a b} 2 3 The important part in the children of, A B a , are 3 3 2 2 2 A a - 6 A B a b and under the above hypothesis the sum total is, 0 3 2 The important part in the children of, B a b, are 3 3 2 2 2 A a - 6 A B a b and under the above hypothesis the sum total is, 0 (4 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(4, r) The scheme that yields the generating functions for 1 / | (4 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 2 4 4 2 2 3 3 {A B a , A a b , A B a b} 2 2 4 The important part in the children of, A B a , are 4 4 2 2 2 2 2 A a - 12 A B a b and under the above hypothesis the sum total is, 0 4 2 2 The important part in the children of, A a b , are 4 4 2 2 2 2 2 A a - 12 A B a b and under the above hypothesis the sum total is, 0 3 3 The important part in the children of, A B a b, are 4 4 3 3 2 A a - 8 A B a b and under the above hypothesis the sum total is, 0 (5 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(5, r) The scheme that yields the generating functions for 1 / | (5 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 4 5 3 2 5 5 3 2 5 4 4 3 2 2 3 4 {A B a , A B a , A a b , B a b, A B a b , A B a b} 4 5 The important part in the children of, A B a , are 5 5 4 4 3 2 3 2 2 A a - 30 A B a b + 40 A B a b and under the above hypothesis the sum total is, 0 3 2 5 The important part in the children of, A B a , are 5 5 4 4 3 2 3 2 2 A a + 10 A B a b - 40 A B a b and under the above hypothesis the sum total is, 0 5 3 2 The important part in the children of, A a b , are 5 5 4 4 3 2 3 2 2 A a + 10 A B a b - 40 A B a b and under the above hypothesis the sum total is, 0 5 4 The important part in the children of, B a b, are 5 5 4 4 3 2 3 2 2 A a - 30 A B a b + 40 A B a b and under the above hypothesis the sum total is, 0 4 3 2 The important part in the children of, A B a b , are 5 5 4 4 3 2 3 2 2 A a - 6 A B a b - 8 A B a b and under the above hypothesis the sum total is, 0 2 3 4 The important part in the children of, A B a b, are 5 5 4 4 3 2 3 2 2 A a - 6 A B a b - 8 A B a b and under the above hypothesis the sum total is, 0 (6 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(6, r) The scheme that yields the generating functions for 1 / | (6 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 4 6 4 2 6 6 4 2 6 4 2 5 5 2 4 4 2 3 3 5 {A B a , A B a , A a b , B a b , A B a b, A B a b , A B a b, 5 3 3 A B a b } 2 4 6 The important part in the children of, A B a , are 6 6 5 5 4 2 4 2 3 3 3 3 2 A a - 24 A B a b - 30 A B a b + 80 A B a b and under the above hypothesis the sum total is, 0 4 2 6 The important part in the children of, A B a , are 6 6 5 5 4 2 4 2 3 3 3 3 2 A a + 24 A B a b - 30 A B a b - 80 A B a b and under the above hypothesis the sum total is, 0 6 4 2 The important part in the children of, A a b , are 6 6 5 5 4 2 4 2 3 3 3 3 2 A a + 24 A B a b - 30 A B a b - 80 A B a b and under the above hypothesis the sum total is, 0 6 4 2 The important part in the children of, B a b , are 6 6 5 5 4 2 4 2 3 3 3 3 2 A a - 24 A B a b - 30 A B a b + 80 A B a b and under the above hypothesis the sum total is, 0 5 5 The important part in the children of, A B a b, are 6 6 5 5 4 2 4 2 2 A a - 32 A B a b + 50 A B a b and under the above hypothesis the sum total is, 0 2 4 4 2 The important part in the children of, A B a b , are 6 6 5 5 4 2 4 2 3 3 3 3 2 A a - 8 A B a b + 2 A B a b - 16 A B a b and under the above hypothesis the sum total is, 0 3 3 5 The important part in the children of, A B a b, are 6 6 4 2 4 2 2 A a - 30 A B a b and under the above hypothesis the sum total is, 0 5 3 3 The important part in the children of, A B a b , are 6 6 4 2 4 2 2 A a - 30 A B a b and under the above hypothesis the sum total is, 0 (7 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(7, r) The scheme that yields the generating functions for 1 / | (7 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 6 7 3 4 7 5 2 7 7 5 2 7 4 3 7 6 6 5 2 {A B a , A B a , A B a , A a b , B a b , B a b, A B a b , 2 5 4 3 2 5 6 3 4 5 2 4 3 6 6 4 3 A B a b , A B a b, A B a b , A B a b, A B a b } 6 7 The important part in the children of, A B a , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 70 A B a b + 378 A B a b - 350 A B a b and under the above hypothesis the sum total is, 0 3 4 7 The important part in the children of, A B a , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 14 A B a b - 126 A B a b + 210 A B a b and under the above hypothesis the sum total is, 0 5 2 7 The important part in the children of, A B a , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a + 42 A B a b + 42 A B a b - 350 A B a b and under the above hypothesis the sum total is, 0 7 5 2 The important part in the children of, A a b , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a + 42 A B a b + 42 A B a b - 350 A B a b and under the above hypothesis the sum total is, 0 7 4 3 The important part in the children of, B a b , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 14 A B a b - 126 A B a b + 210 A B a b and under the above hypothesis the sum total is, 0 7 6 The important part in the children of, B a b, are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 70 A B a b + 378 A B a b - 350 A B a b and under the above hypothesis the sum total is, 0 6 5 2 The important part in the children of, A B a b , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 30 A B a b + 18 A B a b + 50 A B a b and under the above hypothesis the sum total is, 0 2 5 4 3 The important part in the children of, A B a b , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 6 A B a b - 6 A B a b - 30 A B a b and under the above hypothesis the sum total is, 0 2 5 6 The important part in the children of, A B a b, are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 30 A B a b + 18 A B a b + 50 A B a b and under the above hypothesis the sum total is, 0 3 4 5 2 The important part in the children of, A B a b , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a - 6 A B a b - 6 A B a b - 30 A B a b and under the above hypothesis the sum total is, 0 4 3 6 The important part in the children of, A B a b, are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a + 10 A B a b - 54 A B a b - 30 A B a b and under the above hypothesis the sum total is, 0 6 4 3 The important part in the children of, A B a b , are 7 7 6 6 5 2 5 2 4 3 4 3 2 A a + 10 A B a b - 54 A B a b - 30 A B a b and under the above hypothesis the sum total is, 0 (8 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(8, r) The scheme that yields the generating functions for 1 / | (8 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 6 8 4 4 8 6 2 8 8 4 4 8 6 2 8 6 2 7 5 3 {A B a , A B a , A B a , A a b , A a b , B a b , A B a b , 7 7 2 6 6 2 3 5 5 3 3 5 7 4 4 6 2 5 3 7 A B a b, A B a b , A B a b , A B a b, A B a b , A B a b, 6 2 4 4 7 5 3 A B a b , A B a b } 2 6 8 The important part in the children of, A B a , are 8 8 7 7 6 2 6 2 5 3 5 3 4 4 4 4 2 A a - 64 A B a b + 224 A B a b + 448 A B a b - 700 A B a b and under the above hypothesis the sum total is, 0 4 4 8 The important part in the children of, A B a , are 8 8 6 2 6 2 4 4 4 4 2 A a - 224 A B a b + 420 A B a b and under the above hypothesis the sum total is, 0 6 2 8 The important part in the children of, A B a , are 8 8 7 7 6 2 6 2 5 3 5 3 4 4 4 4 2 A a + 64 A B a b + 224 A B a b - 448 A B a b - 700 A B a b and under the above hypothesis the sum total is, 0 8 4 4 The important part in the children of, A a b , are 8 8 6 2 6 2 4 4 4 4 2 A a - 224 A B a b + 420 A B a b and under the above hypothesis the sum total is, 0 8 6 2 The important part in the children of, A a b , are 8 8 7 7 6 2 6 2 5 3 5 3 4 4 4 4 2 A a + 64 A B a b + 224 A B a b - 448 A B a b - 700 A B a b and under the above hypothesis the sum total is, 0 8 6 2 The important part in the children of, B a b , are 8 8 7 7 6 2 6 2 5 3 5 3 4 4 4 4 2 A a - 64 A B a b + 224 A B a b + 448 A B a b - 700 A B a b and under the above hypothesis the sum total is, 0 7 5 3 The important part in the children of, A B a b , are 8 8 7 7 6 2 6 2 5 3 5 3 2 A a - 24 A B a b - 56 A B a b + 168 A B a b and under the above hypothesis the sum total is, 0 7 7 The important part in the children of, A B a b, are 8 8 7 7 6 2 6 2 5 3 5 3 2 A a - 72 A B a b + 392 A B a b - 392 A B a b and under the above hypothesis the sum total is, 0 2 6 6 2 The important part in the children of, A B a b , are 8 8 7 7 6 2 6 2 5 3 5 3 4 4 4 4 2 A a - 32 A B a b + 32 A B a b - 32 A B a b + 100 A B a b and under the above hypothesis the sum total is, 0 3 5 5 3 The important part in the children of, A B a b , are 8 8 7 7 6 2 6 2 5 3 5 3 2 A a - 8 A B a b + 8 A B a b - 72 A B a b and under the above hypothesis the sum total is, 0 3 5 7 The important part in the children of, A B a b, are 8 8 7 7 6 2 6 2 5 3 5 3 2 A a - 24 A B a b - 56 A B a b + 168 A B a b and under the above hypothesis the sum total is, 0 4 4 6 2 The important part in the children of, A B a b , are 8 8 6 2 6 2 4 4 4 4 2 A a - 32 A B a b - 60 A B a b and under the above hypothesis the sum total is, 0 5 3 7 The important part in the children of, A B a b, are 8 8 7 7 6 2 6 2 5 3 5 3 2 A a + 24 A B a b - 56 A B a b - 168 A B a b and under the above hypothesis the sum total is, 0 6 2 4 4 The important part in the children of, A B a b , are 8 8 6 2 6 2 4 4 4 4 2 A a - 32 A B a b - 60 A B a b and under the above hypothesis the sum total is, 0 7 5 3 The important part in the children of, A B a b , are 8 8 7 7 6 2 6 2 5 3 5 3 2 A a + 24 A B a b - 56 A B a b - 168 A B a b and under the above hypothesis the sum total is, 0 (9 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, -------------- binomial(9, r) The scheme that yields the generating functions for 1 / | (9 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 8 9 3 6 9 5 4 9 7 2 9 9 5 4 9 7 2 9 6 3 9 8 {A B a , A B a , A B a , A B a , A a b , A a b , B a b , B a b, 8 5 4 8 7 2 2 7 6 3 2 7 8 3 6 5 4 3 6 7 2 A B a b , A B a b , A B a b , A B a b, A B a b , A B a b , 4 5 6 3 4 5 8 5 4 7 2 6 3 8 7 2 5 4 8 6 3 A B a b , A B a b, A B a b , A B a b, A B a b , A B a b } 8 9 The important part in the children of, A B a , are 9 9 8 8 7 2 7 2 6 3 6 3 2 A a - 126 A B a b + 1440 A B a b - 4704 A B a b 5 4 5 4 + 3528 A B a b and under the above hypothesis the sum total is, 0 3 6 9 The important part in the children of, A B a , are 9 9 8 8 6 3 6 3 5 4 5 4 2 A a - 54 A B a b + 1344 A B a b - 1512 A B a b and under the above hypothesis the sum total is, 0 5 4 9 The important part in the children of, A B a , are 9 9 8 8 7 2 7 2 6 3 6 3 5 4 5 4 2 A a + 18 A B a b - 288 A B a b - 672 A B a b + 1512 A B a b and under the above hypothesis the sum total is, 0 7 2 9 The important part in the children of, A B a , are 9 9 8 8 7 2 7 2 5 4 5 4 2 A a + 90 A B a b + 576 A B a b - 3528 A B a b and under the above hypothesis the sum total is, 0 9 5 4 The important part in the children of, A a b , are 9 9 8 8 7 2 7 2 6 3 6 3 5 4 5 4 2 A a + 18 A B a b - 288 A B a b - 672 A B a b + 1512 A B a b and under the above hypothesis the sum total is, 0 9 7 2 The important part in the children of, A a b , are 9 9 8 8 7 2 7 2 5 4 5 4 2 A a + 90 A B a b + 576 A B a b - 3528 A B a b and under the above hypothesis the sum total is, 0 9 6 3 The important part in the children of, B a b , are 9 9 8 8 6 3 6 3 5 4 5 4 2 A a - 54 A B a b + 1344 A B a b - 1512 A B a b and under the above hypothesis the sum total is, 0 9 8 The important part in the children of, B a b, are 9 9 8 8 7 2 7 2 6 3 6 3 2 A a - 126 A B a b + 1440 A B a b - 4704 A B a b 5 4 5 4 + 3528 A B a b and under the above hypothesis the sum total is, 0 8 5 4 The important part in the children of, A B a b , are 9 9 8 8 7 2 7 2 6 3 6 3 5 4 5 4 2 A a - 14 A B a b - 160 A B a b + 224 A B a b + 168 A B a b and under the above hypothesis the sum total is, 0 8 7 2 The important part in the children of, A B a b , are 9 9 8 8 7 2 7 2 5 4 5 4 2 A a - 70 A B a b + 320 A B a b - 392 A B a b and under the above hypothesis the sum total is, 0 2 7 6 3 The important part in the children of, A B a b , are 9 9 8 8 5 4 5 4 2 A a - 30 A B a b + 168 A B a b and under the above hypothesis the sum total is, 0 2 7 8 The important part in the children of, A B a b, are 9 9 8 8 7 2 7 2 5 4 5 4 2 A a - 70 A B a b + 320 A B a b - 392 A B a b and under the above hypothesis the sum total is, 0 3 6 5 4 The important part in the children of, A B a b , are 9 9 8 8 6 3 6 3 5 4 5 4 2 A a - 6 A B a b - 64 A B a b - 72 A B a b and under the above hypothesis the sum total is, 0 3 6 7 2 The important part in the children of, A B a b , are 9 9 8 8 5 4 5 4 2 A a - 30 A B a b + 168 A B a b and under the above hypothesis the sum total is, 0 4 5 6 3 The important part in the children of, A B a b , are 9 9 8 8 6 3 6 3 5 4 5 4 2 A a - 6 A B a b - 64 A B a b - 72 A B a b and under the above hypothesis the sum total is, 0 4 5 8 The important part in the children of, A B a b, are 9 9 8 8 7 2 7 2 6 3 6 3 5 4 5 4 2 A a - 14 A B a b - 160 A B a b + 224 A B a b + 168 A B a b and under the above hypothesis the sum total is, 0 5 4 7 2 The important part in the children of, A B a b , are 9 9 8 8 7 2 7 2 5 4 5 4 2 A a + 10 A B a b - 64 A B a b - 168 A B a b and under the above hypothesis the sum total is, 0 6 3 8 The important part in the children of, A B a b, are 9 9 8 8 6 3 6 3 5 4 5 4 2 A a + 42 A B a b - 448 A B a b - 168 A B a b and under the above hypothesis the sum total is, 0 7 2 5 4 The important part in the children of, A B a b , are 9 9 8 8 7 2 7 2 5 4 5 4 2 A a + 10 A B a b - 64 A B a b - 168 A B a b and under the above hypothesis the sum total is, 0 8 6 3 The important part in the children of, A B a b , are 9 9 8 8 6 3 6 3 5 4 5 4 2 A a + 42 A B a b - 448 A B a b - 168 A B a b and under the above hypothesis the sum total is, 0 (10 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(10, r) The scheme that yields the generating functions for 1 / | (10 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 8 10 4 6 10 6 4 10 8 2 10 10 6 4 10 8 2 10 6 4 {A B a , A B a , A B a , A B a , A a b , A a b , B a b , 10 8 2 9 7 3 9 9 2 8 6 4 2 8 8 2 3 7 7 3 B a b , A B a b , A B a b, A B a b , A B a b , A B a b , 3 7 9 4 6 6 4 4 6 8 2 5 5 7 3 5 5 9 6 4 8 2 A B a b, A B a b , A B a b , A B a b , A B a b, A B a b , 7 3 5 5 7 3 9 8 2 6 4 9 5 5 9 7 3 A B a b , A B a b, A B a b , A B a b , A B a b } 2 8 10 The important part in the children of, A B a , are 10 10 9 9 8 2 8 2 7 3 7 3 2 A a - 120 A B a b + 1170 A B a b - 1920 A B a b 6 4 6 4 5 5 5 5 - 5880 A B a b + 7056 A B a b and under the above hypothesis the sum total is, 0 4 6 10 The important part in the children of, A B a , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 40 A B a b - 270 A B a b + 1920 A B a b + 840 A B a b 5 5 5 5 - 3024 A B a b and under the above hypothesis the sum total is, 0 6 4 10 The important part in the children of, A B a , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a + 40 A B a b - 270 A B a b - 1920 A B a b + 840 A B a b 5 5 5 5 + 3024 A B a b and under the above hypothesis the sum total is, 0 8 2 10 The important part in the children of, A B a , are 10 10 9 9 8 2 8 2 7 3 7 3 2 A a + 120 A B a b + 1170 A B a b + 1920 A B a b 6 4 6 4 5 5 5 5 - 5880 A B a b - 7056 A B a b and under the above hypothesis the sum total is, 0 10 6 4 The important part in the children of, A a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a + 40 A B a b - 270 A B a b - 1920 A B a b + 840 A B a b 5 5 5 5 + 3024 A B a b and under the above hypothesis the sum total is, 0 10 8 2 The important part in the children of, A a b , are 10 10 9 9 8 2 8 2 7 3 7 3 2 A a + 120 A B a b + 1170 A B a b + 1920 A B a b 6 4 6 4 5 5 5 5 - 5880 A B a b - 7056 A B a b and under the above hypothesis the sum total is, 0 10 6 4 The important part in the children of, B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 40 A B a b - 270 A B a b + 1920 A B a b + 840 A B a b 5 5 5 5 - 3024 A B a b and under the above hypothesis the sum total is, 0 10 8 2 The important part in the children of, B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 2 A a - 120 A B a b + 1170 A B a b - 1920 A B a b 6 4 6 4 5 5 5 5 - 5880 A B a b + 7056 A B a b and under the above hypothesis the sum total is, 0 9 7 3 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 64 A B a b + 162 A B a b + 768 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 9 9 The important part in the children of, A B a b, are 10 10 9 9 8 2 8 2 7 3 7 3 2 A a - 128 A B a b + 1458 A B a b - 4608 A B a b 6 4 6 4 + 3528 A B a b and under the above hypothesis the sum total is, 0 2 8 6 4 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 24 A B a b - 78 A B a b + 128 A B a b - 56 A B a b 5 5 5 5 + 336 A B a b and under the above hypothesis the sum total is, 0 2 8 8 2 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 72 A B a b + 338 A B a b - 128 A B a b + 392 A B a b 5 5 5 5 - 784 A B a b and under the above hypothesis the sum total is, 0 3 7 7 3 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 32 A B a b + 18 A B a b - 128 A B a b + 392 A B a b and under the above hypothesis the sum total is, 0 3 7 9 The important part in the children of, A B a b, are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 64 A B a b + 162 A B a b + 768 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 4 6 6 4 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 8 A B a b + 18 A B a b - 128 A B a b + 8 A B a b 5 5 5 5 - 144 A B a b and under the above hypothesis the sum total is, 0 4 6 8 2 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a - 24 A B a b - 78 A B a b + 128 A B a b - 56 A B a b 5 5 5 5 + 336 A B a b and under the above hypothesis the sum total is, 0 5 5 7 3 The important part in the children of, A B a b , are 10 10 8 2 8 2 6 4 6 4 2 A a - 30 A B a b - 280 A B a b and under the above hypothesis the sum total is, 0 5 5 9 The important part in the children of, A B a b, are 10 10 8 2 8 2 6 4 6 4 2 A a - 270 A B a b + 840 A B a b and under the above hypothesis the sum total is, 0 6 4 8 2 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a + 24 A B a b - 78 A B a b - 128 A B a b - 56 A B a b 5 5 5 5 - 336 A B a b and under the above hypothesis the sum total is, 0 7 3 5 5 The important part in the children of, A B a b , are 10 10 8 2 8 2 6 4 6 4 2 A a - 30 A B a b - 280 A B a b and under the above hypothesis the sum total is, 0 7 3 9 The important part in the children of, A B a b, are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a + 64 A B a b + 162 A B a b - 768 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 8 2 6 4 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a + 24 A B a b - 78 A B a b - 128 A B a b - 56 A B a b 5 5 5 5 - 336 A B a b and under the above hypothesis the sum total is, 0 9 5 5 The important part in the children of, A B a b , are 10 10 8 2 8 2 6 4 6 4 2 A a - 270 A B a b + 840 A B a b and under the above hypothesis the sum total is, 0 9 7 3 The important part in the children of, A B a b , are 10 10 9 9 8 2 8 2 7 3 7 3 6 4 6 4 2 A a + 64 A B a b + 162 A B a b - 768 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 (11 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(11, r) The scheme that yields the generating functions for 1 / | (11 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 10 11 3 8 11 5 6 11 7 4 11 9 2 11 11 7 4 11 9 2 {A B a , A B a , A B a , A B a , A B a , A a b , A a b , 11 6 5 11 8 3 11 10 10 7 4 10 9 2 2 9 6 5 B a b , B a b , B a b, A B a b , A B a b , A B a b , 2 9 8 3 2 9 10 3 8 7 4 3 8 9 2 4 7 6 5 A B a b , A B a b, A B a b , A B a b , A B a b , 4 7 8 3 4 7 10 5 6 7 4 5 6 9 2 6 5 8 3 A B a b , A B a b, A B a b , A B a b , A B a b , 6 5 10 7 4 9 2 8 3 6 5 8 3 10 9 2 7 4 A B a b, A B a b , A B a b , A B a b, A B a b , 10 6 5 10 8 3 A B a b , A B a b } 10 11 The important part in the children of, A B a , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 198 A B a b + 3850 A B a b - 24750 A B a b 7 4 7 4 6 5 6 5 + 59400 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 3 8 11 The important part in the children of, A B a , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 110 A B a b + 770 A B a b + 1650 A B a b 7 4 7 4 6 5 6 5 - 14520 A B a b + 12936 A B a b and under the above hypothesis the sum total is, 0 5 6 11 The important part in the children of, A B a , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 22 A B a b - 550 A B a b + 1650 A B a b 7 4 7 4 6 5 6 5 + 6600 A B a b - 9240 A B a b and under the above hypothesis the sum total is, 0 7 4 11 The important part in the children of, A B a , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 66 A B a b - 110 A B a b - 3630 A B a b 7 4 7 4 6 5 6 5 - 3960 A B a b + 12936 A B a b and under the above hypothesis the sum total is, 0 9 2 11 The important part in the children of, A B a , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 154 A B a b + 2090 A B a b + 6930 A B a b 7 4 7 4 6 5 6 5 - 3960 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 11 7 4 The important part in the children of, A a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 66 A B a b - 110 A B a b - 3630 A B a b 7 4 7 4 6 5 6 5 - 3960 A B a b + 12936 A B a b and under the above hypothesis the sum total is, 0 11 9 2 The important part in the children of, A a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 154 A B a b + 2090 A B a b + 6930 A B a b 7 4 7 4 6 5 6 5 - 3960 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 11 6 5 The important part in the children of, B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 22 A B a b - 550 A B a b + 1650 A B a b 7 4 7 4 6 5 6 5 + 6600 A B a b - 9240 A B a b and under the above hypothesis the sum total is, 0 11 8 3 The important part in the children of, B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 110 A B a b + 770 A B a b + 1650 A B a b 7 4 7 4 6 5 6 5 - 14520 A B a b + 12936 A B a b and under the above hypothesis the sum total is, 0 11 10 The important part in the children of, B a b, are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 198 A B a b + 3850 A B a b - 24750 A B a b 7 4 7 4 6 5 6 5 + 59400 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 10 7 4 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 54 A B a b - 70 A B a b + 1650 A B a b 7 4 7 4 6 5 6 5 - 1080 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 10 9 2 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 126 A B a b + 1330 A B a b - 3150 A B a b 7 4 7 4 6 5 6 5 - 1080 A B a b + 3528 A B a b and under the above hypothesis the sum total is, 0 2 9 6 5 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 14 A B a b - 190 A B a b + 210 A B a b 7 4 7 4 6 5 6 5 - 120 A B a b + 840 A B a b and under the above hypothesis the sum total is, 0 2 9 8 3 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 70 A B a b + 266 A B a b + 210 A B a b 7 4 7 4 6 5 6 5 + 264 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 2 9 10 The important part in the children of, A B a b, are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 126 A B a b + 1330 A B a b - 3150 A B a b 7 4 7 4 6 5 6 5 - 1080 A B a b + 3528 A B a b and under the above hypothesis the sum total is, 0 3 8 7 4 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a - 30 A B a b - 14 A B a b - 110 A B a b + 264 A B a b 6 5 6 5 + 392 A B a b and under the above hypothesis the sum total is, 0 3 8 9 2 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 70 A B a b + 266 A B a b + 210 A B a b 7 4 7 4 6 5 6 5 + 264 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 4 7 6 5 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a - 6 A B a b + 10 A B a b - 110 A B a b - 120 A B a b 6 5 6 5 - 280 A B a b and under the above hypothesis the sum total is, 0 4 7 8 3 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a - 30 A B a b - 14 A B a b - 110 A B a b + 264 A B a b 6 5 6 5 + 392 A B a b and under the above hypothesis the sum total is, 0 4 7 10 The important part in the children of, A B a b, are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 54 A B a b - 70 A B a b + 1650 A B a b 7 4 7 4 6 5 6 5 - 1080 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 5 6 7 4 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a - 6 A B a b + 10 A B a b - 110 A B a b - 120 A B a b 6 5 6 5 - 280 A B a b and under the above hypothesis the sum total is, 0 5 6 9 2 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a - 14 A B a b - 190 A B a b + 210 A B a b 7 4 7 4 6 5 6 5 - 120 A B a b + 840 A B a b and under the above hypothesis the sum total is, 0 6 5 8 3 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a + 10 A B a b - 70 A B a b + 50 A B a b - 440 A B a b 6 5 6 5 - 280 A B a b and under the above hypothesis the sum total is, 0 6 5 10 The important part in the children of, A B a b, are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 18 A B a b - 350 A B a b - 750 A B a b 7 4 7 4 6 5 6 5 + 1800 A B a b + 840 A B a b and under the above hypothesis the sum total is, 0 7 4 9 2 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a + 42 A B a b - 38 A B a b - 462 A B a b + 72 A B a b 6 5 6 5 - 1176 A B a b and under the above hypothesis the sum total is, 0 8 3 6 5 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a + 10 A B a b - 70 A B a b + 50 A B a b - 440 A B a b 6 5 6 5 - 280 A B a b and under the above hypothesis the sum total is, 0 8 3 10 The important part in the children of, A B a b, are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 90 A B a b + 490 A B a b - 750 A B a b 7 4 7 4 6 5 6 5 - 3960 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 9 2 7 4 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 7 4 7 4 2 A a + 42 A B a b - 38 A B a b - 462 A B a b + 72 A B a b 6 5 6 5 - 1176 A B a b and under the above hypothesis the sum total is, 0 10 6 5 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 18 A B a b - 350 A B a b - 750 A B a b 7 4 7 4 6 5 6 5 + 1800 A B a b + 840 A B a b and under the above hypothesis the sum total is, 0 10 8 3 The important part in the children of, A B a b , are 11 11 10 10 9 2 9 2 8 3 8 3 2 A a + 90 A B a b + 490 A B a b - 750 A B a b 7 4 7 4 6 5 6 5 - 3960 A B a b - 1176 A B a b and under the above hypothesis the sum total is, 0 (12 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(12, r) The scheme that yields the generating functions for 1 / | (12 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 10 12 4 8 12 6 6 12 8 4 12 10 2 12 12 6 6 12 8 4 {A B a , A B a , A B a , A B a , A B a , A a b , A a b , 12 10 2 12 8 4 12 10 2 11 7 5 11 3 9 2 10 8 4 A a b , B a b , B a b , A B a b , A B b a , A B a b , 2 10 10 2 3 9 7 5 3 9 9 3 3 9 11 4 8 8 4 A B a b , A B a b , A B a b , A B b a , A B a b , 4 8 10 2 5 7 7 5 5 7 9 3 5 7 11 6 6 8 4 A B a b , A B a b , A B a b , A B a b, A B a b , 6 6 10 2 7 5 9 3 7 5 11 8 4 6 6 8 4 10 2 A B a b , A B a b , A B a b, A B a b , A B a b , 9 3 7 5 9 3 11 10 2 6 6 10 2 8 4 11 7 5 A B a b , A B a b, A B a b , A B a b , A B a b , 11 9 3 11 11 A B a b , b a B A} 2 10 12 The important part in the children of, A B a , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 192 A B a b + 3432 A B a b - 17600 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 + 14850 A B a b + 76032 A B a b - 77616 A B a b and under the above hypothesis the sum total is, 0 4 8 12 The important part in the children of, A B a , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 96 A B a b + 264 A B a b + 5280 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 16830 A B a b - 12672 A B a b + 25872 A B a b and under the above hypothesis the sum total is, 0 6 6 12 The important part in the children of, A B a , are 12 12 10 2 10 2 8 4 8 4 6 6 6 6 2 A a - 792 A B a b + 14850 A B a b - 18480 A B a b and under the above hypothesis the sum total is, 0 8 4 12 The important part in the children of, A B a , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 96 A B a b + 264 A B a b - 5280 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 16830 A B a b + 12672 A B a b + 25872 A B a b and under the above hypothesis the sum total is, 0 10 2 12 The important part in the children of, A B a , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 192 A B a b + 3432 A B a b + 17600 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 + 14850 A B a b - 76032 A B a b - 77616 A B a b and under the above hypothesis the sum total is, 0 12 6 6 The important part in the children of, A a b , are 12 12 10 2 10 2 8 4 8 4 6 6 6 6 2 A a - 792 A B a b + 14850 A B a b - 18480 A B a b and under the above hypothesis the sum total is, 0 12 8 4 The important part in the children of, A a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 96 A B a b + 264 A B a b - 5280 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 16830 A B a b + 12672 A B a b + 25872 A B a b and under the above hypothesis the sum total is, 0 12 10 2 The important part in the children of, A a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 192 A B a b + 3432 A B a b + 17600 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 + 14850 A B a b - 76032 A B a b - 77616 A B a b and under the above hypothesis the sum total is, 0 12 8 4 The important part in the children of, B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 96 A B a b + 264 A B a b + 5280 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 16830 A B a b - 12672 A B a b + 25872 A B a b and under the above hypothesis the sum total is, 0 12 10 2 The important part in the children of, B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 192 A B a b + 3432 A B a b - 17600 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 + 14850 A B a b + 76032 A B a b - 77616 A B a b and under the above hypothesis the sum total is, 0 11 7 5 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 40 A B a b - 352 A B a b + 2200 A B a b 8 4 8 4 7 5 7 5 + 1650 A B a b - 5280 A B a b and under the above hypothesis the sum total is, 0 11 3 9 The important part in the children of, A B b a , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 120 A B a b + 1056 A B a b - 440 A B a b 8 4 8 4 7 5 7 5 - 8910 A B a b + 9504 A B a b and under the above hypothesis the sum total is, 0 2 10 8 4 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 64 A B a b + 104 A B a b + 960 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 510 A B a b + 768 A B a b - 2352 A B a b and under the above hypothesis the sum total is, 0 2 10 10 2 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 128 A B a b + 1352 A B a b - 3200 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 + 450 A B a b - 4608 A B a b + 7056 A B a b and under the above hypothesis the sum total is, 0 3 9 7 5 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 24 A B a b - 96 A B a b + 40 A B a b 8 4 8 4 7 5 7 5 - 270 A B a b + 1440 A B a b and under the above hypothesis the sum total is, 0 3 9 9 3 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 72 A B a b + 288 A B a b - 8 A B a b 8 4 8 4 7 5 7 5 + 1458 A B a b - 2592 A B a b and under the above hypothesis the sum total is, 0 3 9 11 The important part in the children of, A B b a , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 120 A B a b + 1056 A B a b - 440 A B a b 8 4 8 4 7 5 7 5 - 8910 A B a b + 9504 A B a b and under the above hypothesis the sum total is, 0 4 8 8 4 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 32 A B a b + 8 A B a b - 288 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 + 578 A B a b - 128 A B a b + 784 A B a b and under the above hypothesis the sum total is, 0 4 8 10 2 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 64 A B a b + 104 A B a b + 960 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 510 A B a b + 768 A B a b - 2352 A B a b and under the above hypothesis the sum total is, 0 5 7 7 5 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 8 4 8 4 2 A a - 8 A B a b + 32 A B a b - 200 A B a b + 50 A B a b 7 5 7 5 - 800 A B a b and under the above hypothesis the sum total is, 0 5 7 9 3 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 24 A B a b - 96 A B a b + 40 A B a b 8 4 8 4 7 5 7 5 - 270 A B a b + 1440 A B a b and under the above hypothesis the sum total is, 0 5 7 11 The important part in the children of, A B a b, are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 40 A B a b - 352 A B a b + 2200 A B a b 8 4 8 4 7 5 7 5 + 1650 A B a b - 5280 A B a b and under the above hypothesis the sum total is, 0 6 6 8 4 The important part in the children of, A B a b , are 12 12 10 2 10 2 8 4 8 4 6 6 6 6 2 A a - 24 A B a b - 510 A B a b - 560 A B a b and under the above hypothesis the sum total is, 0 6 6 10 2 The important part in the children of, A B a b , are 12 12 10 2 10 2 8 4 8 4 6 6 6 6 2 A a - 312 A B a b + 450 A B a b + 1680 A B a b and under the above hypothesis the sum total is, 0 7 5 9 3 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 24 A B a b - 96 A B a b - 40 A B a b 8 4 8 4 7 5 7 5 - 270 A B a b - 1440 A B a b and under the above hypothesis the sum total is, 0 7 5 11 The important part in the children of, A B a b, are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 40 A B a b - 352 A B a b - 2200 A B a b 8 4 8 4 7 5 7 5 + 1650 A B a b + 5280 A B a b and under the above hypothesis the sum total is, 0 8 4 6 6 The important part in the children of, A B a b , are 12 12 10 2 10 2 8 4 8 4 6 6 6 6 2 A a - 24 A B a b - 510 A B a b - 560 A B a b and under the above hypothesis the sum total is, 0 8 4 10 2 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 64 A B a b + 104 A B a b - 960 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 510 A B a b - 768 A B a b - 2352 A B a b and under the above hypothesis the sum total is, 0 9 3 7 5 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 24 A B a b - 96 A B a b - 40 A B a b 8 4 8 4 7 5 7 5 - 270 A B a b - 1440 A B a b and under the above hypothesis the sum total is, 0 9 3 11 The important part in the children of, A B a b, are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 120 A B a b + 1056 A B a b + 440 A B a b 8 4 8 4 7 5 7 5 - 8910 A B a b - 9504 A B a b and under the above hypothesis the sum total is, 0 10 2 6 6 The important part in the children of, A B a b , are 12 12 10 2 10 2 8 4 8 4 6 6 6 6 2 A a - 312 A B a b + 450 A B a b + 1680 A B a b and under the above hypothesis the sum total is, 0 10 2 8 4 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 64 A B a b + 104 A B a b - 960 A B a b 8 4 8 4 7 5 7 5 6 6 6 6 - 510 A B a b - 768 A B a b - 2352 A B a b and under the above hypothesis the sum total is, 0 11 7 5 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 40 A B a b - 352 A B a b - 2200 A B a b 8 4 8 4 7 5 7 5 + 1650 A B a b + 5280 A B a b and under the above hypothesis the sum total is, 0 11 9 3 The important part in the children of, A B a b , are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a + 120 A B a b + 1056 A B a b + 440 A B a b 8 4 8 4 7 5 7 5 - 8910 A B a b - 9504 A B a b and under the above hypothesis the sum total is, 0 11 11 The important part in the children of, b a B A, are 12 12 11 11 10 2 10 2 9 3 9 3 2 A a - 200 A B a b + 3872 A B a b - 24200 A B a b 8 4 8 4 7 5 7 5 + 54450 A B a b - 34848 A B a b and under the above hypothesis the sum total is, 0 (13 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(13, r) The scheme that yields the generating functions for 1 / | (13 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 12 13 3 10 13 5 8 13 7 6 13 9 4 13 11 2 13 13 7 6 {A B a , A B a , A B a , A B a , A B a , A B a , A a b , 13 9 4 13 11 2 13 8 5 13 10 3 13 12 12 7 6 A a b , A a b , B a b , B a b , B a b, A B a b , 12 9 4 12 11 2 2 11 8 5 2 11 10 3 2 11 12 A B a b , A B a b , A B a b , A B a b , A B a b, 3 10 7 6 3 10 9 4 3 10 11 2 4 9 8 5 4 9 10 3 A B a b , A B a b , A B a b , A B a b , A B a b , 4 9 12 5 8 7 6 5 8 9 4 5 8 11 2 6 7 8 5 A B a b, A B a b , A B a b , A B a b , A B a b , 6 7 10 3 6 7 12 7 6 9 4 7 6 11 2 8 5 10 3 A B a b , A B a b, A B a b , A B a b , A B a b , 8 5 12 9 4 7 6 9 4 11 2 10 3 8 5 10 3 12 A B a b, A B a b , A B a b , A B a b , A B a b, 11 2 7 6 11 2 9 4 12 8 5 12 10 3 A B a b , A B a b , A B a b , A B a b } 12 13 The important part in the children of, A B a , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 286 A B a b + 8424 A B a b - 88088 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 393250 A B a b - 764478 A B a b + 453024 A B a b and under the above hypothesis the sum total is, 0 3 10 13 The important part in the children of, A B a , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 182 A B a b + 2808 A B a b - 8008 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 35750 A B a b + 162162 A B a b - 123552 A B a b and under the above hypothesis the sum total is, 0 5 8 13 The important part in the children of, A B a , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 78 A B a b - 312 A B a b + 8008 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 7150 A B a b - 64350 A B a b + 68640 A B a b and under the above hypothesis the sum total is, 0 7 6 13 The important part in the children of, A B a , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 26 A B a b - 936 A B a b - 3432 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 21450 A B a b + 38610 A B a b - 68640 A B a b and under the above hypothesis the sum total is, 0 9 4 13 The important part in the children of, A B a , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 130 A B a b + 936 A B a b - 5720 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 41470 A B a b - 23166 A B a b + 123552 A B a b and under the above hypothesis the sum total is, 0 11 2 13 The important part in the children of, A B a , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 234 A B a b + 5304 A B a b + 37752 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 78650 A B a b - 84942 A B a b - 453024 A B a b and under the above hypothesis the sum total is, 0 13 7 6 The important part in the children of, A a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 26 A B a b - 936 A B a b - 3432 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 21450 A B a b + 38610 A B a b - 68640 A B a b and under the above hypothesis the sum total is, 0 13 9 4 The important part in the children of, A a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 130 A B a b + 936 A B a b - 5720 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 41470 A B a b - 23166 A B a b + 123552 A B a b and under the above hypothesis the sum total is, 0 13 11 2 The important part in the children of, A a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 234 A B a b + 5304 A B a b + 37752 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 78650 A B a b - 84942 A B a b - 453024 A B a b and under the above hypothesis the sum total is, 0 13 8 5 The important part in the children of, B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 78 A B a b - 312 A B a b + 8008 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 7150 A B a b - 64350 A B a b + 68640 A B a b and under the above hypothesis the sum total is, 0 13 10 3 The important part in the children of, B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 182 A B a b + 2808 A B a b - 8008 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 35750 A B a b + 162162 A B a b - 123552 A B a b and under the above hypothesis the sum total is, 0 13 12 The important part in the children of, B a b, are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 286 A B a b + 8424 A B a b - 88088 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 393250 A B a b - 764478 A B a b + 453024 A B a b and under the above hypothesis the sum total is, 0 12 7 6 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 22 A B a b - 648 A B a b + 1848 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 8250 A B a b - 8910 A B a b - 5280 A B a b and under the above hypothesis the sum total is, 0 12 9 4 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 110 A B a b + 648 A B a b + 3080 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 15950 A B a b + 5346 A B a b + 9504 A B a b and under the above hypothesis the sum total is, 0 12 11 2 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 198 A B a b + 3672 A B a b - 20328 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 30250 A B a b + 19602 A B a b - 34848 A B a b and under the above hypothesis the sum total is, 0 2 11 8 5 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 54 A B a b - 136 A B a b + 1848 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 550 A B a b + 1650 A B a b - 5280 A B a b and under the above hypothesis the sum total is, 0 2 11 10 3 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 126 A B a b + 1224 A B a b - 1848 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 2750 A B a b - 4158 A B a b + 9504 A B a b and under the above hypothesis the sum total is, 0 2 11 12 The important part in the children of, A B a b, are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 198 A B a b + 3672 A B a b - 20328 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 30250 A B a b + 19602 A B a b - 34848 A B a b and under the above hypothesis the sum total is, 0 3 10 7 6 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 14 A B a b - 216 A B a b + 168 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 750 A B a b + 1890 A B a b + 1440 A B a b and under the above hypothesis the sum total is, 0 3 10 9 4 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 70 A B a b + 216 A B a b + 280 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 1450 A B a b - 1134 A B a b - 2592 A B a b and under the above hypothesis the sum total is, 0 3 10 11 2 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 126 A B a b + 1224 A B a b - 1848 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 2750 A B a b - 4158 A B a b + 9504 A B a b and under the above hypothesis the sum total is, 0 4 9 8 5 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 30 A B a b - 24 A B a b - 280 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 290 A B a b + 450 A B a b + 1440 A B a b and under the above hypothesis the sum total is, 0 4 9 10 3 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 70 A B a b + 216 A B a b + 280 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 1450 A B a b - 1134 A B a b - 2592 A B a b and under the above hypothesis the sum total is, 0 4 9 12 The important part in the children of, A B a b, are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 110 A B a b + 648 A B a b + 3080 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 15950 A B a b + 5346 A B a b + 9504 A B a b and under the above hypothesis the sum total is, 0 5 8 7 6 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 6 A B a b + 24 A B a b - 168 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 150 A B a b - 750 A B a b - 800 A B a b and under the above hypothesis the sum total is, 0 5 8 9 4 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 30 A B a b - 24 A B a b - 280 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 290 A B a b + 450 A B a b + 1440 A B a b and under the above hypothesis the sum total is, 0 5 8 11 2 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 54 A B a b - 136 A B a b + 1848 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 550 A B a b + 1650 A B a b - 5280 A B a b and under the above hypothesis the sum total is, 0 6 7 8 5 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 6 A B a b + 24 A B a b - 168 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 150 A B a b - 750 A B a b - 800 A B a b and under the above hypothesis the sum total is, 0 6 7 10 3 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 14 A B a b - 216 A B a b + 168 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 750 A B a b + 1890 A B a b + 1440 A B a b and under the above hypothesis the sum total is, 0 6 7 12 The important part in the children of, A B a b, are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a - 22 A B a b - 648 A B a b + 1848 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 8250 A B a b - 8910 A B a b - 5280 A B a b and under the above hypothesis the sum total is, 0 7 6 9 4 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 10 A B a b - 72 A B a b + 120 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 870 A B a b - 270 A B a b - 1440 A B a b and under the above hypothesis the sum total is, 0 7 6 11 2 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 18 A B a b - 408 A B a b - 792 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 1650 A B a b - 990 A B a b + 5280 A B a b and under the above hypothesis the sum total is, 0 8 5 10 3 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 42 A B a b - 72 A B a b - 392 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 250 A B a b - 3150 A B a b - 1440 A B a b and under the above hypothesis the sum total is, 0 8 5 12 The important part in the children of, A B a b, are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 66 A B a b - 216 A B a b - 4312 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 2750 A B a b + 14850 A B a b + 5280 A B a b and under the above hypothesis the sum total is, 0 9 4 7 6 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 10 A B a b - 72 A B a b + 120 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 870 A B a b - 270 A B a b - 1440 A B a b and under the above hypothesis the sum total is, 0 9 4 11 2 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 90 A B a b + 408 A B a b - 1320 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 3190 A B a b + 594 A B a b - 9504 A B a b and under the above hypothesis the sum total is, 0 10 3 8 5 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 42 A B a b - 72 A B a b - 392 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 250 A B a b - 3150 A B a b - 1440 A B a b and under the above hypothesis the sum total is, 0 10 3 12 The important part in the children of, A B a b, are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 154 A B a b + 1944 A B a b + 4312 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 13750 A B a b - 37422 A B a b - 9504 A B a b and under the above hypothesis the sum total is, 0 11 2 7 6 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 18 A B a b - 408 A B a b - 792 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 + 1650 A B a b - 990 A B a b + 5280 A B a b and under the above hypothesis the sum total is, 0 11 2 9 4 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 90 A B a b + 408 A B a b - 1320 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 3190 A B a b + 594 A B a b - 9504 A B a b and under the above hypothesis the sum total is, 0 12 8 5 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 66 A B a b - 216 A B a b - 4312 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 2750 A B a b + 14850 A B a b + 5280 A B a b and under the above hypothesis the sum total is, 0 12 10 3 The important part in the children of, A B a b , are 13 13 12 12 11 2 11 2 10 3 10 3 2 A a + 154 A B a b + 1944 A B a b + 4312 A B a b 9 4 9 4 8 5 8 5 7 6 7 6 - 13750 A B a b - 37422 A B a b - 9504 A B a b and under the above hypothesis the sum total is, 0 (14 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(14, r) The scheme that yields the generating functions for 1 / | (14 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 12 14 4 10 14 6 8 14 8 6 14 10 4 14 12 2 14 {A B a , A B a , A B a , A B a , A B a , A B a , 14 8 6 14 10 4 14 12 2 14 8 6 14 10 4 14 12 2 A a b , A a b , A a b , B a b , B a b , B a b , 13 9 5 13 11 3 13 13 2 12 8 6 2 12 10 4 A B a b , A B a b , A B a b, A B a b , A B a b , 2 12 12 2 3 11 9 5 3 11 11 3 3 11 13 4 10 8 6 A B a b , A B a b , A B a b , A B a b, A B a b , 4 10 10 4 4 10 12 2 5 9 9 5 5 9 11 3 5 9 13 A B a b , A B a b , A B a b , A B a b , A B a b, 6 8 8 6 6 8 10 4 6 8 12 2 7 7 9 5 7 7 11 3 A B a b , A B a b , A B a b , A B a b , A B a b , 7 7 13 8 6 10 4 8 6 12 2 9 5 7 7 9 5 11 3 A B a b, A B a b , A B a b , A B a b , A B a b , 9 5 13 10 4 8 6 10 4 12 2 11 3 7 7 11 3 9 5 A B a b, A B a b , A B a b , A B a b , A B a b , 11 3 13 12 2 8 6 12 2 10 4 13 7 7 13 9 5 A B a b, A B a b , A B a b , A B a b , A B a b , 13 11 3 A B a b } 2 12 14 The important part in the children of, A B a , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 280 A B a b + 7826 A B a b - 72800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 242242 A B a b - 88088 A B a b - 990990 A B a b 7 7 7 7 + 906048 A B a b and under the above hypothesis the sum total is, 0 4 10 14 The important part in the children of, A B a , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 168 A B a b + 2002 A B a b + 2912 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 78078 A B a b + 152152 A B a b + 162162 A B a b 7 7 7 7 - 247104 A B a b and under the above hypothesis the sum total is, 0 6 8 14 The important part in the children of, A B a , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 56 A B a b - 910 A B a b + 8736 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 18018 A B a b - 120120 A B a b - 30030 A B a b 7 7 7 7 + 137280 A B a b and under the above hypothesis the sum total is, 0 8 6 14 The important part in the children of, A B a , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 56 A B a b - 910 A B a b - 8736 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 18018 A B a b + 120120 A B a b - 30030 A B a b 7 7 7 7 - 137280 A B a b and under the above hypothesis the sum total is, 0 10 4 14 The important part in the children of, A B a , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 168 A B a b + 2002 A B a b - 2912 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 78078 A B a b - 152152 A B a b + 162162 A B a b 7 7 7 7 + 247104 A B a b and under the above hypothesis the sum total is, 0 12 2 14 The important part in the children of, A B a , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 280 A B a b + 7826 A B a b + 72800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 242242 A B a b + 88088 A B a b - 990990 A B a b 7 7 7 7 - 906048 A B a b and under the above hypothesis the sum total is, 0 14 8 6 The important part in the children of, A a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 56 A B a b - 910 A B a b - 8736 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 18018 A B a b + 120120 A B a b - 30030 A B a b 7 7 7 7 - 137280 A B a b and under the above hypothesis the sum total is, 0 14 10 4 The important part in the children of, A a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 168 A B a b + 2002 A B a b - 2912 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 78078 A B a b - 152152 A B a b + 162162 A B a b 7 7 7 7 + 247104 A B a b and under the above hypothesis the sum total is, 0 14 12 2 The important part in the children of, A a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 280 A B a b + 7826 A B a b + 72800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 242242 A B a b + 88088 A B a b - 990990 A B a b 7 7 7 7 - 906048 A B a b and under the above hypothesis the sum total is, 0 14 8 6 The important part in the children of, B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 56 A B a b - 910 A B a b + 8736 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 18018 A B a b - 120120 A B a b - 30030 A B a b 7 7 7 7 + 137280 A B a b and under the above hypothesis the sum total is, 0 14 10 4 The important part in the children of, B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 168 A B a b + 2002 A B a b + 2912 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 78078 A B a b + 152152 A B a b + 162162 A B a b 7 7 7 7 - 247104 A B a b and under the above hypothesis the sum total is, 0 14 12 2 The important part in the children of, B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 280 A B a b + 7826 A B a b - 72800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 242242 A B a b - 88088 A B a b - 990990 A B a b 7 7 7 7 + 906048 A B a b and under the above hypothesis the sum total is, 0 13 9 5 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 96 A B a b + 130 A B a b + 6656 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 16302 A B a b - 22880 A B a b + 38610 A B a b and under the above hypothesis the sum total is, 0 13 11 3 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 192 A B a b + 3250 A B a b - 13312 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b + 100672 A B a b - 84942 A B a b and under the above hypothesis the sum total is, 0 13 13 The important part in the children of, A B a b, are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 288 A B a b + 8450 A B a b - 86528 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 368082 A B a b - 654368 A B a b + 368082 A B a b and under the above hypothesis the sum total is, 0 2 12 8 6 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 40 A B a b - 430 A B a b + 2400 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 2178 A B a b - 1320 A B a b + 1650 A B a b 7 7 7 7 - 10560 A B a b and under the above hypothesis the sum total is, 0 2 12 10 4 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 120 A B a b + 946 A B a b + 800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b + 1672 A B a b - 8910 A B a b 7 7 7 7 + 19008 A B a b and under the above hypothesis the sum total is, 0 2 12 12 2 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 200 A B a b + 3698 A B a b - 20000 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 29282 A B a b - 968 A B a b + 54450 A B a b 7 7 7 7 - 69696 A B a b and under the above hypothesis the sum total is, 0 3 11 9 5 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 64 A B a b + 50 A B a b + 1024 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 418 A B a b + 3520 A B a b - 8910 A B a b and under the above hypothesis the sum total is, 0 3 11 11 3 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 128 A B a b + 1250 A B a b - 2048 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 242 A B a b - 15488 A B a b + 19602 A B a b and under the above hypothesis the sum total is, 0 3 11 13 The important part in the children of, A B a b, are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 192 A B a b + 3250 A B a b - 13312 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b + 100672 A B a b - 84942 A B a b and under the above hypothesis the sum total is, 0 4 10 8 6 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 24 A B a b - 110 A B a b - 96 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 702 A B a b + 2280 A B a b - 270 A B a b 7 7 7 7 + 2880 A B a b and under the above hypothesis the sum total is, 0 4 10 10 4 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 72 A B a b + 242 A B a b - 32 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 3042 A B a b - 2888 A B a b + 1458 A B a b 7 7 7 7 - 5184 A B a b and under the above hypothesis the sum total is, 0 4 10 12 2 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 120 A B a b + 946 A B a b + 800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b + 1672 A B a b - 8910 A B a b 7 7 7 7 + 19008 A B a b and under the above hypothesis the sum total is, 0 5 9 9 5 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 32 A B a b + 2 A B a b - 512 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 722 A B a b - 800 A B a b + 4050 A B a b and under the above hypothesis the sum total is, 0 5 9 11 3 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 64 A B a b + 50 A B a b + 1024 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 418 A B a b + 3520 A B a b - 8910 A B a b and under the above hypothesis the sum total is, 0 5 9 13 The important part in the children of, A B a b, are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 96 A B a b + 130 A B a b + 6656 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 16302 A B a b - 22880 A B a b + 38610 A B a b and under the above hypothesis the sum total is, 0 6 8 8 6 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 8 A B a b + 50 A B a b - 288 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 7 7 7 7 + 162 A B a b - 1800 A B a b + 50 A B a b - 1600 A B a b and under the above hypothesis the sum total is, 0 6 8 10 4 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 24 A B a b - 110 A B a b - 96 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 702 A B a b + 2280 A B a b - 270 A B a b 7 7 7 7 + 2880 A B a b and under the above hypothesis the sum total is, 0 6 8 12 2 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a - 40 A B a b - 430 A B a b + 2400 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 2178 A B a b - 1320 A B a b + 1650 A B a b 7 7 7 7 - 10560 A B a b and under the above hypothesis the sum total is, 0 7 7 9 5 The important part in the children of, A B a b , are 14 14 12 2 12 2 10 4 10 4 8 6 8 6 2 A a - 14 A B a b - 798 A B a b - 3150 A B a b and under the above hypothesis the sum total is, 0 7 7 11 3 The important part in the children of, A B a b , are 14 14 12 2 12 2 10 4 10 4 8 6 8 6 2 A a - 350 A B a b - 462 A B a b + 6930 A B a b and under the above hypothesis the sum total is, 0 7 7 13 The important part in the children of, A B a b, are 14 14 12 2 12 2 10 4 10 4 8 6 8 6 2 A a - 910 A B a b + 18018 A B a b - 30030 A B a b and under the above hypothesis the sum total is, 0 8 6 10 4 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 24 A B a b - 110 A B a b + 96 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 702 A B a b - 2280 A B a b - 270 A B a b 7 7 7 7 - 2880 A B a b and under the above hypothesis the sum total is, 0 8 6 12 2 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 40 A B a b - 430 A B a b - 2400 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 2178 A B a b + 1320 A B a b + 1650 A B a b 7 7 7 7 + 10560 A B a b and under the above hypothesis the sum total is, 0 9 5 7 7 The important part in the children of, A B a b , are 14 14 12 2 12 2 10 4 10 4 8 6 8 6 2 A a - 14 A B a b - 798 A B a b - 3150 A B a b and under the above hypothesis the sum total is, 0 9 5 11 3 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 64 A B a b + 50 A B a b - 1024 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 418 A B a b - 3520 A B a b - 8910 A B a b and under the above hypothesis the sum total is, 0 9 5 13 The important part in the children of, A B a b, are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 96 A B a b + 130 A B a b - 6656 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 16302 A B a b + 22880 A B a b + 38610 A B a b and under the above hypothesis the sum total is, 0 10 4 8 6 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 24 A B a b - 110 A B a b + 96 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 702 A B a b - 2280 A B a b - 270 A B a b 7 7 7 7 - 2880 A B a b and under the above hypothesis the sum total is, 0 10 4 12 2 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 120 A B a b + 946 A B a b - 800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b - 1672 A B a b - 8910 A B a b 7 7 7 7 - 19008 A B a b and under the above hypothesis the sum total is, 0 11 3 7 7 The important part in the children of, A B a b , are 14 14 12 2 12 2 10 4 10 4 8 6 8 6 2 A a - 350 A B a b - 462 A B a b + 6930 A B a b and under the above hypothesis the sum total is, 0 11 3 9 5 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 64 A B a b + 50 A B a b - 1024 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 418 A B a b - 3520 A B a b - 8910 A B a b and under the above hypothesis the sum total is, 0 11 3 13 The important part in the children of, A B a b, are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 192 A B a b + 3250 A B a b + 13312 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b - 100672 A B a b - 84942 A B a b and under the above hypothesis the sum total is, 0 12 2 8 6 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 40 A B a b - 430 A B a b - 2400 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 + 2178 A B a b + 1320 A B a b + 1650 A B a b 7 7 7 7 + 10560 A B a b and under the above hypothesis the sum total is, 0 12 2 10 4 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 120 A B a b + 946 A B a b - 800 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b - 1672 A B a b - 8910 A B a b 7 7 7 7 - 19008 A B a b and under the above hypothesis the sum total is, 0 13 7 7 The important part in the children of, A B a b , are 14 14 12 2 12 2 10 4 10 4 8 6 8 6 2 A a - 910 A B a b + 18018 A B a b - 30030 A B a b and under the above hypothesis the sum total is, 0 13 9 5 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 96 A B a b + 130 A B a b - 6656 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 16302 A B a b + 22880 A B a b + 38610 A B a b and under the above hypothesis the sum total is, 0 13 11 3 The important part in the children of, A B a b , are 14 14 13 13 12 2 12 2 11 3 11 3 2 A a + 192 A B a b + 3250 A B a b + 13312 A B a b 10 4 10 4 9 5 9 5 8 6 8 6 - 9438 A B a b - 100672 A B a b - 84942 A B a b and under the above hypothesis the sum total is, 0 (15 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(15, r) The scheme that yields the generating functions for 1 / | (15 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 14 15 3 12 15 7 8 15 9 6 15 11 4 15 13 2 15 15 9 6 {A B a , A B a , A B a , A B a , A B a , A B a , A a b , 15 11 4 15 13 2 10 5 15 15 8 7 15 12 3 15 14 A a b , A a b , B A a , B a b , B a b , B a b, 15 5 10 14 9 6 14 13 2 14 4 11 2 13 8 7 B b a , A B a b , A B a b , A B b a , A B a b , 2 13 10 5 2 13 14 2 13 3 12 3 12 9 6 3 12 11 4 A B a b , A B a b, A B b a , A B a b , A B a b , 3 12 2 13 4 11 8 7 4 11 10 5 4 11 12 3 4 11 14 A B b a , A B a b , A B a b , A B a b , A B b a , 5 10 9 6 5 10 11 4 5 10 13 2 6 9 8 7 6 9 10 5 A B a b , A B a b , A B a b , A B a b , A B a b , 6 9 12 3 6 9 14 7 8 9 6 7 8 11 4 7 8 13 2 A B a b , A B a b, A B a b , A B a b , A B a b , 8 7 10 5 8 7 12 3 8 7 14 9 6 11 4 9 6 13 2 A B a b , A B a b , A B a b, A B a b , A B a b , 10 5 8 7 10 5 12 3 10 5 14 11 4 9 6 11 4 13 2 A B a b , A B a b , A B a b, A B a b , A B a b , 12 3 8 7 12 3 10 5 12 3 14 13 2 9 6 13 2 11 4 A B a b , A B a b , A B a b, A B a b , A B a b , 14 8 7 14 10 5 14 12 3 A B a b , A B a b , A B a b } 14 15 The important part in the children of, A B a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 390 A B a b + 16170 A B a b - 248430 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 1739010 A B a b - 6012006 A B a b + 10020010 A B a b 8 7 8 7 - 5521230 A B a b and under the above hypothesis the sum total is, 0 3 12 15 The important part in the children of, A B a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 270 A B a b + 6930 A B a b - 51870 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 57330 A B a b + 594594 A B a b - 1871870 A B a b 8 7 8 7 + 1274130 A B a b and under the above hypothesis the sum total is, 0 7 8 15 The important part in the children of, A B a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 30 A B a b - 1470 A B a b + 6370 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 57330 A B a b - 126126 A B a b - 350350 A B a b 8 7 8 7 + 450450 A B a b and under the above hypothesis the sum total is, 0 9 6 15 The important part in the children of, A B a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 90 A B a b - 630 A B a b - 15470 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 8190 A B a b + 234234 A B a b + 250250 A B a b 8 7 8 7 - 579150 A B a b and under the above hypothesis the sum total is, 0 11 4 15 The important part in the children of, A B a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 210 A B a b + 3570 A B a b + 6370 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 117390 A B a b - 462462 A B a b - 110110 A B a b 8 7 8 7 + 1274130 A B a b and under the above hypothesis the sum total is, 0 13 2 15 The important part in the children of, A B a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 330 A B a b + 11130 A B a b + 130130 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 603330 A B a b + 858858 A B a b - 1431430 A B a b 8 7 8 7 - 5521230 A B a b and under the above hypothesis the sum total is, 0 15 9 6 The important part in the children of, A a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 90 A B a b - 630 A B a b - 15470 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 8190 A B a b + 234234 A B a b + 250250 A B a b 8 7 8 7 - 579150 A B a b and under the above hypothesis the sum total is, 0 15 11 4 The important part in the children of, A a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 210 A B a b + 3570 A B a b + 6370 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 117390 A B a b - 462462 A B a b - 110110 A B a b 8 7 8 7 + 1274130 A B a b and under the above hypothesis the sum total is, 0 15 13 2 The important part in the children of, A a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 330 A B a b + 11130 A B a b + 130130 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 603330 A B a b + 858858 A B a b - 1431430 A B a b 8 7 8 7 - 5521230 A B a b and under the above hypothesis the sum total is, 0 10 5 15 The important part in the children of, B A a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 150 A B a b + 1050 A B a b + 13650 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 95550 A B a b - 6006 A B a b + 650650 A B a b 8 7 8 7 - 579150 A B a b and under the above hypothesis the sum total is, 0 15 8 7 The important part in the children of, B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 30 A B a b - 1470 A B a b + 6370 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 57330 A B a b - 126126 A B a b - 350350 A B a b 8 7 8 7 + 450450 A B a b and under the above hypothesis the sum total is, 0 15 12 3 The important part in the children of, B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 270 A B a b + 6930 A B a b - 51870 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 57330 A B a b + 594594 A B a b - 1871870 A B a b 8 7 8 7 + 1274130 A B a b and under the above hypothesis the sum total is, 0 15 14 The important part in the children of, B a b, are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 390 A B a b + 16170 A B a b - 248430 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 1739010 A B a b - 6012006 A B a b + 10020010 A B a b 8 7 8 7 - 5521230 A B a b and under the above hypothesis the sum total is, 0 15 5 10 The important part in the children of, B b a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 150 A B a b + 1050 A B a b + 13650 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 95550 A B a b - 6006 A B a b + 650650 A B a b 8 7 8 7 - 579150 A B a b and under the above hypothesis the sum total is, 0 14 9 6 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 78 A B a b - 462 A B a b + 9282 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 3822 A B a b - 78078 A B a b + 50050 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 14 13 2 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 286 A B a b + 8162 A B a b - 78078 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 281554 A B a b - 286286 A B a b - 286286 A B a b 8 7 8 7 + 368082 A B a b and under the above hypothesis the sum total is, 0 14 4 11 The important part in the children of, A B b a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 182 A B a b + 2618 A B a b - 3822 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 54782 A B a b + 154154 A B a b - 22022 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 2 13 8 7 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 22 A B a b - 742 A B a b + 2002 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 9282 A B a b - 6006 A B a b + 10010 A B a b 8 7 8 7 - 30030 A B a b and under the above hypothesis the sum total is, 0 2 13 10 5 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 110 A B a b + 530 A B a b + 4290 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 15470 A B a b - 286 A B a b - 18590 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 2 13 14 The important part in the children of, A B a b, are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 286 A B a b + 8162 A B a b - 78078 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 281554 A B a b - 286286 A B a b - 286286 A B a b 8 7 8 7 + 368082 A B a b and under the above hypothesis the sum total is, 0 2 13 3 12 The important part in the children of, A B b a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 198 A B a b + 3498 A B a b - 16302 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 9282 A B a b + 28314 A B a b + 53482 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 3 12 9 6 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 54 A B a b - 198 A B a b + 1938 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 126 A B a b + 7722 A B a b - 9350 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 3 12 11 4 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 126 A B a b + 1122 A B a b - 798 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1806 A B a b - 15246 A B a b + 4114 A B a b 8 7 8 7 + 19602 A B a b and under the above hypothesis the sum total is, 0 3 12 2 13 The important part in the children of, A B b a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 198 A B a b + 3498 A B a b - 16302 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 9282 A B a b + 28314 A B a b + 53482 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 4 11 8 7 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 14 A B a b - 238 A B a b + 98 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1806 A B a b + 3234 A B a b + 770 A B a b 8 7 8 7 + 6930 A B a b and under the above hypothesis the sum total is, 0 4 11 10 5 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 70 A B a b + 170 A B a b + 210 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 3010 A B a b + 154 A B a b - 1430 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 4 11 12 3 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 126 A B a b + 1122 A B a b - 798 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1806 A B a b - 15246 A B a b + 4114 A B a b 8 7 8 7 + 19602 A B a b and under the above hypothesis the sum total is, 0 4 11 14 The important part in the children of, A B b a , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 182 A B a b + 2618 A B a b - 3822 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 54782 A B a b + 154154 A B a b - 22022 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 5 10 9 6 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 30 A B a b - 30 A B a b - 510 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 210 A B a b - 78 A B a b + 3250 A B a b 8 7 8 7 + 4050 A B a b and under the above hypothesis the sum total is, 0 5 10 11 4 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 70 A B a b + 170 A B a b + 210 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 3010 A B a b + 154 A B a b - 1430 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 5 10 13 2 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 110 A B a b + 530 A B a b + 4290 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 15470 A B a b - 286 A B a b - 18590 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 6 9 8 7 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 6 A B a b + 42 A B a b - 238 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 126 A B a b - 1638 A B a b - 1750 A B a b 8 7 8 7 - 3150 A B a b and under the above hypothesis the sum total is, 0 6 9 10 5 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 30 A B a b - 30 A B a b - 510 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 210 A B a b - 78 A B a b + 3250 A B a b 8 7 8 7 + 4050 A B a b and under the above hypothesis the sum total is, 0 6 9 12 3 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 54 A B a b - 198 A B a b + 1938 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 126 A B a b + 7722 A B a b - 9350 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 6 9 14 The important part in the children of, A B a b, are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 78 A B a b - 462 A B a b + 9282 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 3822 A B a b - 78078 A B a b + 50050 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 7 8 9 6 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 6 A B a b + 42 A B a b - 238 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 126 A B a b - 1638 A B a b - 1750 A B a b 8 7 8 7 - 3150 A B a b and under the above hypothesis the sum total is, 0 7 8 11 4 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 14 A B a b - 238 A B a b + 98 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1806 A B a b + 3234 A B a b + 770 A B a b 8 7 8 7 + 6930 A B a b and under the above hypothesis the sum total is, 0 7 8 13 2 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a - 22 A B a b - 742 A B a b + 2002 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 9282 A B a b - 6006 A B a b + 10010 A B a b 8 7 8 7 - 30030 A B a b and under the above hypothesis the sum total is, 0 8 7 10 5 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 10 A B a b - 70 A B a b + 210 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1470 A B a b + 42 A B a b - 4550 A B a b 8 7 8 7 - 3150 A B a b and under the above hypothesis the sum total is, 0 8 7 12 3 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 18 A B a b - 462 A B a b - 798 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 882 A B a b - 4158 A B a b + 13090 A B a b 8 7 8 7 + 6930 A B a b and under the above hypothesis the sum total is, 0 8 7 14 The important part in the children of, A B a b, are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 26 A B a b - 1078 A B a b - 3822 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 26754 A B a b + 42042 A B a b - 70070 A B a b 8 7 8 7 - 30030 A B a b and under the above hypothesis the sum total is, 0 9 6 11 4 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 42 A B a b - 102 A B a b - 238 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 258 A B a b - 6006 A B a b - 550 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 9 6 13 2 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 66 A B a b - 318 A B a b - 4862 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1326 A B a b + 11154 A B a b - 7150 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 10 5 8 7 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 10 A B a b - 70 A B a b + 210 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1470 A B a b + 42 A B a b - 4550 A B a b 8 7 8 7 - 3150 A B a b and under the above hypothesis the sum total is, 0 10 5 12 3 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 90 A B a b + 330 A B a b - 1710 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1470 A B a b - 198 A B a b - 24310 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 10 5 14 The important part in the children of, A B a b, are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 130 A B a b + 770 A B a b - 8190 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 44590 A B a b + 2002 A B a b + 130130 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 11 4 9 6 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 42 A B a b - 102 A B a b - 238 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 258 A B a b - 6006 A B a b - 550 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 11 4 13 2 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 154 A B a b + 1802 A B a b + 2002 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 19006 A B a b - 22022 A B a b + 3146 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 12 3 8 7 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 18 A B a b - 462 A B a b - 798 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 882 A B a b - 4158 A B a b + 13090 A B a b 8 7 8 7 + 6930 A B a b and under the above hypothesis the sum total is, 0 12 3 10 5 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 90 A B a b + 330 A B a b - 1710 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1470 A B a b - 198 A B a b - 24310 A B a b 8 7 8 7 - 8910 A B a b and under the above hypothesis the sum total is, 0 12 3 14 The important part in the children of, A B a b, are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 234 A B a b + 5082 A B a b + 31122 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 26754 A B a b - 198198 A B a b - 374374 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 13 2 9 6 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 66 A B a b - 318 A B a b - 4862 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 1326 A B a b + 11154 A B a b - 7150 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 13 2 11 4 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 154 A B a b + 1802 A B a b + 2002 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 19006 A B a b - 22022 A B a b + 3146 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 14 8 7 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 26 A B a b - 1078 A B a b - 3822 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 26754 A B a b + 42042 A B a b - 70070 A B a b 8 7 8 7 - 30030 A B a b and under the above hypothesis the sum total is, 0 14 10 5 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 130 A B a b + 770 A B a b - 8190 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 - 44590 A B a b + 2002 A B a b + 130130 A B a b 8 7 8 7 + 38610 A B a b and under the above hypothesis the sum total is, 0 14 12 3 The important part in the children of, A B a b , are 15 15 14 14 13 2 13 2 12 3 12 3 2 A a + 234 A B a b + 5082 A B a b + 31122 A B a b 11 4 11 4 10 5 10 5 9 6 9 6 + 26754 A B a b - 198198 A B a b - 374374 A B a b 8 7 8 7 - 84942 A B a b and under the above hypothesis the sum total is, 0 (16 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(16, r) The scheme that yields the generating functions for 1 / | (16 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 14 16 4 12 16 6 10 16 8 8 16 10 6 16 12 4 16 {A B a , A B a , A B a , A B a , A B a , A B a , 14 2 16 16 8 8 16 10 6 16 12 4 16 14 2 16 10 6 A B a , A a b , A a b , A a b , A a b , B a b , 16 12 4 16 14 2 15 9 7 15 11 5 15 13 3 B a b , B a b , A B a b , A B a b , A B a b , 15 15 2 14 10 6 2 14 12 4 2 14 14 2 3 13 9 7 A B a b, A B a b , A B a b , A B a b , A B a b , 3 13 11 5 3 13 13 3 3 13 15 4 12 10 6 4 12 12 4 A B a b , A B a b , A B a b, A B a b , A B a b , 4 12 14 2 5 11 9 7 5 11 11 5 5 11 13 3 5 11 15 A B a b , A B a b , A B a b , A B a b , A B a b, 6 10 10 6 6 10 12 4 6 10 14 2 7 9 9 7 7 9 11 5 A B a b , A B a b , A B a b , A B a b , A B a b , 7 9 13 3 7 9 15 8 8 10 6 8 8 12 4 8 8 14 2 A B a b , A B a b, A B a b , A B a b , A B a b , 9 7 11 5 9 7 13 3 9 7 15 10 6 8 8 10 6 12 4 A B a b , A B a b , A B a b, A B a b , A B a b , 10 6 14 2 11 5 9 7 11 5 13 3 11 5 15 12 4 8 8 A B a b , A B a b , A B a b , A B a b, A B a b , 12 4 10 6 12 4 14 2 13 3 9 7 13 3 11 5 13 3 15 A B a b , A B a b , A B a b , A B a b , A B a b, 14 2 8 8 14 2 10 6 14 2 12 4 15 9 7 15 11 5 A B a b , A B a b , A B a b , A B a b , A B a b , 15 13 3 A B a b } 2 14 16 The important part in the children of, A B a , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 384 A B a b + 15360 A B a b - 219520 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 + 1324960 A B a b - 3179904 A B a b + 13087360 A B a b 8 8 8 8 - 11042460 A B a b and under the above hypothesis the sum total is, 0 4 12 16 The important part in the children of, A B a , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 256 A B a b + 5760 A B a b - 26880 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 131040 A B a b + 1048320 A B a b - 1409408 A B a b 9 7 9 7 8 8 8 8 - 2013440 A B a b + 2548260 A B a b and under the above hypothesis the sum total is, 0 6 10 16 The important part in the children of, A B a , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 128 A B a b + 22400 A B a b - 72800 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 - 314496 A B a b + 1025024 A B a b + 457600 A B a b 8 8 8 8 - 1158300 A B a b and under the above hypothesis the sum total is, 0 8 8 16 The important part in the children of, A B a , are 16 16 14 2 14 2 12 4 12 4 10 6 10 6 2 A a - 1920 A B a b + 101920 A B a b - 896896 A B a b 8 8 8 8 + 900900 A B a b and under the above hypothesis the sum total is, 0 10 6 16 The important part in the children of, A B a , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a + 128 A B a b - 22400 A B a b - 72800 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 + 314496 A B a b + 1025024 A B a b - 457600 A B a b 8 8 8 8 - 1158300 A B a b and under the above hypothesis the sum total is, 0 12 4 16 The important part in the children of, A B a , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 256 A B a b + 5760 A B a b + 26880 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 131040 A B a b - 1048320 A B a b - 1409408 A B a b 9 7 9 7 8 8 8 8 + 2013440 A B a b + 2548260 A B a b and under the above hypothesis the sum total is, 0 14 2 16 The important part in the children of, A B a , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 384 A B a b + 15360 A B a b + 219520 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 + 1324960 A B a b + 3179904 A B a b - 13087360 A B a b 8 8 8 8 - 11042460 A B a b and under the above hypothesis the sum total is, 0 16 8 8 The important part in the children of, A a b , are 16 16 14 2 14 2 12 4 12 4 10 6 10 6 2 A a - 1920 A B a b + 101920 A B a b - 896896 A B a b 8 8 8 8 + 900900 A B a b and under the above hypothesis the sum total is, 0 16 10 6 The important part in the children of, A a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a + 128 A B a b - 22400 A B a b - 72800 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 + 314496 A B a b + 1025024 A B a b - 457600 A B a b 8 8 8 8 - 1158300 A B a b and under the above hypothesis the sum total is, 0 16 12 4 The important part in the children of, A a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 256 A B a b + 5760 A B a b + 26880 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 131040 A B a b - 1048320 A B a b - 1409408 A B a b 9 7 9 7 8 8 8 8 + 2013440 A B a b + 2548260 A B a b and under the above hypothesis the sum total is, 0 16 14 2 The important part in the children of, A a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 384 A B a b + 15360 A B a b + 219520 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 + 1324960 A B a b + 3179904 A B a b - 13087360 A B a b 8 8 8 8 - 11042460 A B a b and under the above hypothesis the sum total is, 0 16 10 6 The important part in the children of, B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 128 A B a b + 22400 A B a b - 72800 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 - 314496 A B a b + 1025024 A B a b + 457600 A B a b 8 8 8 8 - 1158300 A B a b and under the above hypothesis the sum total is, 0 16 12 4 The important part in the children of, B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 256 A B a b + 5760 A B a b - 26880 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 131040 A B a b + 1048320 A B a b - 1409408 A B a b 9 7 9 7 8 8 8 8 - 2013440 A B a b + 2548260 A B a b and under the above hypothesis the sum total is, 0 16 14 2 The important part in the children of, B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 384 A B a b + 15360 A B a b - 219520 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 + 1324960 A B a b - 3179904 A B a b + 13087360 A B a b 8 8 8 8 - 11042460 A B a b and under the above hypothesis the sum total is, 0 15 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 56 A B a b - 1080 A B a b + 9800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 25480 A B a b - 137592 A B a b - 56056 A B a b 9 7 9 7 + 200200 A B a b and under the above hypothesis the sum total is, 0 15 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 168 A B a b + 1800 A B a b + 7000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 91000 A B a b + 111384 A B a b + 264264 A B a b 9 7 9 7 - 314600 A B a b and under the above hypothesis the sum total is, 0 15 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 280 A B a b + 7560 A B a b - 63000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 141960 A B a b + 255528 A B a b - 1145144 A B a b 9 7 9 7 + 817960 A B a b and under the above hypothesis the sum total is, 0 15 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 392 A B a b + 16200 A B a b - 245000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 1656200 A B a b - 5366088 A B a b + 8016008 A B a b 9 7 9 7 - 4089800 A B a b and under the above hypothesis the sum total is, 0 2 14 10 6 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 96 A B a b + 7840 A B a b - 14560 A B a b 11 5 11 5 9 7 9 7 8 8 8 8 - 26208 A B a b - 22880 A B a b + 77220 A B a b and under the above hypothesis the sum total is, 0 2 14 12 4 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 192 A B a b + 3072 A B a b - 9408 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 - 26208 A B a b + 87360 A B a b + 100672 A B a b 8 8 8 8 - 169884 A B a b and under the above hypothesis the sum total is, 0 2 14 14 2 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 288 A B a b + 8192 A B a b - 76832 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 + 264992 A B a b - 264992 A B a b - 654368 A B a b 8 8 8 8 + 736164 A B a b and under the above hypothesis the sum total is, 0 3 13 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 40 A B a b - 504 A B a b + 2520 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 2184 A B a b + 6552 A B a b + 8008 A B a b 9 7 9 7 - 40040 A B a b and under the above hypothesis the sum total is, 0 3 13 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 120 A B a b + 840 A B a b + 1800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 7800 A B a b - 5304 A B a b - 37752 A B a b 9 7 9 7 + 62920 A B a b and under the above hypothesis the sum total is, 0 3 13 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 200 A B a b + 3528 A B a b - 16200 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 12168 A B a b - 12168 A B a b + 163592 A B a b 9 7 9 7 - 163592 A B a b and under the above hypothesis the sum total is, 0 3 13 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 280 A B a b + 7560 A B a b - 63000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 141960 A B a b + 255528 A B a b - 1145144 A B a b 9 7 9 7 + 817960 A B a b and under the above hypothesis the sum total is, 0 4 12 10 6 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 64 A B a b + 960 A B a b + 1440 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 + 8640 A B a b - 11264 A B a b + 3520 A B a b 8 8 8 8 - 17820 A B a b and under the above hypothesis the sum total is, 0 4 12 12 4 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 128 A B a b + 1152 A B a b - 1152 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 2592 A B a b - 28800 A B a b + 15488 A B a b 9 7 9 7 8 8 8 8 - 15488 A B a b + 39204 A B a b and under the above hypothesis the sum total is, 0 4 12 14 2 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 192 A B a b + 3072 A B a b - 9408 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 - 26208 A B a b + 87360 A B a b + 100672 A B a b 8 8 8 8 - 169884 A B a b and under the above hypothesis the sum total is, 0 5 11 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 24 A B a b - 120 A B a b - 280 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 1400 A B a b + 2856 A B a b - 1848 A B a b 9 7 9 7 + 15400 A B a b and under the above hypothesis the sum total is, 0 5 11 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 72 A B a b + 200 A B a b - 200 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 5000 A B a b - 2312 A B a b + 8712 A B a b 9 7 9 7 - 24200 A B a b and under the above hypothesis the sum total is, 0 5 11 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 120 A B a b + 840 A B a b + 1800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 7800 A B a b - 5304 A B a b - 37752 A B a b 9 7 9 7 + 62920 A B a b and under the above hypothesis the sum total is, 0 5 11 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 168 A B a b + 1800 A B a b + 7000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 91000 A B a b + 111384 A B a b + 264264 A B a b 9 7 9 7 - 314600 A B a b and under the above hypothesis the sum total is, 0 6 10 10 6 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 32 A B a b - 800 A B a b + 800 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 - 2592 A B a b + 8192 A B a b - 800 A B a b 8 8 8 8 + 8100 A B a b and under the above hypothesis the sum total is, 0 6 10 12 4 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 64 A B a b + 960 A B a b + 1440 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 + 8640 A B a b - 11264 A B a b + 3520 A B a b 8 8 8 8 - 17820 A B a b and under the above hypothesis the sum total is, 0 6 10 14 2 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a - 96 A B a b + 7840 A B a b - 14560 A B a b 11 5 11 5 9 7 9 7 8 8 8 8 - 26208 A B a b - 22880 A B a b + 77220 A B a b and under the above hypothesis the sum total is, 0 7 9 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 8 A B a b + 72 A B a b - 392 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 392 A B a b - 3528 A B a b + 392 A B a b 9 7 9 7 - 9800 A B a b and under the above hypothesis the sum total is, 0 7 9 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 24 A B a b - 120 A B a b - 280 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 1400 A B a b + 2856 A B a b - 1848 A B a b 9 7 9 7 + 15400 A B a b and under the above hypothesis the sum total is, 0 7 9 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 40 A B a b - 504 A B a b + 2520 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 2184 A B a b + 6552 A B a b + 8008 A B a b 9 7 9 7 - 40040 A B a b and under the above hypothesis the sum total is, 0 7 9 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a - 56 A B a b - 1080 A B a b + 9800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 25480 A B a b - 137592 A B a b - 56056 A B a b 9 7 9 7 + 200200 A B a b and under the above hypothesis the sum total is, 0 8 8 10 6 The important part in the children of, A B a b , are 16 16 12 4 12 4 10 6 10 6 8 8 8 8 2 A a - 1120 A B a b - 7168 A B a b - 6300 A B a b and under the above hypothesis the sum total is, 0 8 8 12 4 The important part in the children of, A B a b , are 16 16 14 2 14 2 12 4 12 4 10 6 10 6 2 A a - 384 A B a b - 2016 A B a b + 9856 A B a b 8 8 8 8 + 13860 A B a b and under the above hypothesis the sum total is, 0 8 8 14 2 The important part in the children of, A B a b , are 16 16 14 2 14 2 12 4 12 4 8 8 8 8 2 A a - 1024 A B a b + 20384 A B a b - 60060 A B a b and under the above hypothesis the sum total is, 0 9 7 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 24 A B a b - 120 A B a b + 280 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 1400 A B a b - 2856 A B a b - 1848 A B a b 9 7 9 7 - 15400 A B a b and under the above hypothesis the sum total is, 0 9 7 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 40 A B a b - 504 A B a b - 2520 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 2184 A B a b - 6552 A B a b + 8008 A B a b 9 7 9 7 + 40040 A B a b and under the above hypothesis the sum total is, 0 9 7 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 56 A B a b - 1080 A B a b - 9800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 25480 A B a b + 137592 A B a b - 56056 A B a b 9 7 9 7 - 200200 A B a b and under the above hypothesis the sum total is, 0 10 6 8 8 The important part in the children of, A B a b , are 16 16 12 4 12 4 10 6 10 6 8 8 8 8 2 A a - 1120 A B a b - 7168 A B a b - 6300 A B a b and under the above hypothesis the sum total is, 0 10 6 12 4 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a + 64 A B a b - 960 A B a b + 1440 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 - 8640 A B a b - 11264 A B a b - 3520 A B a b 8 8 8 8 - 17820 A B a b and under the above hypothesis the sum total is, 0 10 6 14 2 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a + 96 A B a b - 7840 A B a b - 14560 A B a b 11 5 11 5 9 7 9 7 8 8 8 8 + 26208 A B a b + 22880 A B a b + 77220 A B a b and under the above hypothesis the sum total is, 0 11 5 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 24 A B a b - 120 A B a b + 280 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 1400 A B a b - 2856 A B a b - 1848 A B a b 9 7 9 7 - 15400 A B a b and under the above hypothesis the sum total is, 0 11 5 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 120 A B a b + 840 A B a b - 1800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 7800 A B a b + 5304 A B a b - 37752 A B a b 9 7 9 7 - 62920 A B a b and under the above hypothesis the sum total is, 0 11 5 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 168 A B a b + 1800 A B a b - 7000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 91000 A B a b - 111384 A B a b + 264264 A B a b 9 7 9 7 + 314600 A B a b and under the above hypothesis the sum total is, 0 12 4 8 8 The important part in the children of, A B a b , are 16 16 14 2 14 2 12 4 12 4 10 6 10 6 2 A a - 384 A B a b - 2016 A B a b + 9856 A B a b 8 8 8 8 + 13860 A B a b and under the above hypothesis the sum total is, 0 12 4 10 6 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a + 64 A B a b - 960 A B a b + 1440 A B a b 11 5 11 5 10 6 10 6 9 7 9 7 - 8640 A B a b - 11264 A B a b - 3520 A B a b 8 8 8 8 - 17820 A B a b and under the above hypothesis the sum total is, 0 12 4 14 2 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 192 A B a b + 3072 A B a b + 9408 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 - 26208 A B a b - 87360 A B a b - 100672 A B a b 8 8 8 8 - 169884 A B a b and under the above hypothesis the sum total is, 0 13 3 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 40 A B a b - 504 A B a b - 2520 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 2184 A B a b - 6552 A B a b + 8008 A B a b 9 7 9 7 + 40040 A B a b and under the above hypothesis the sum total is, 0 13 3 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 120 A B a b + 840 A B a b - 1800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 7800 A B a b + 5304 A B a b - 37752 A B a b 9 7 9 7 - 62920 A B a b and under the above hypothesis the sum total is, 0 13 3 15 The important part in the children of, A B a b, are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 280 A B a b + 7560 A B a b + 63000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 141960 A B a b - 255528 A B a b - 1145144 A B a b 9 7 9 7 - 817960 A B a b and under the above hypothesis the sum total is, 0 14 2 8 8 The important part in the children of, A B a b , are 16 16 14 2 14 2 12 4 12 4 8 8 8 8 2 A a - 1024 A B a b + 20384 A B a b - 60060 A B a b and under the above hypothesis the sum total is, 0 14 2 10 6 The important part in the children of, A B a b , are 16 16 15 15 13 3 13 3 12 4 12 4 2 A a + 96 A B a b - 7840 A B a b - 14560 A B a b 11 5 11 5 9 7 9 7 8 8 8 8 + 26208 A B a b + 22880 A B a b + 77220 A B a b and under the above hypothesis the sum total is, 0 14 2 12 4 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 192 A B a b + 3072 A B a b + 9408 A B a b 12 4 12 4 11 5 11 5 9 7 9 7 - 26208 A B a b - 87360 A B a b - 100672 A B a b 8 8 8 8 - 169884 A B a b and under the above hypothesis the sum total is, 0 15 9 7 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 56 A B a b - 1080 A B a b - 9800 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 25480 A B a b + 137592 A B a b - 56056 A B a b 9 7 9 7 - 200200 A B a b and under the above hypothesis the sum total is, 0 15 11 5 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 168 A B a b + 1800 A B a b - 7000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 - 91000 A B a b - 111384 A B a b + 264264 A B a b 9 7 9 7 + 314600 A B a b and under the above hypothesis the sum total is, 0 15 13 3 The important part in the children of, A B a b , are 16 16 15 15 14 2 14 2 13 3 13 3 2 A a + 280 A B a b + 7560 A B a b + 63000 A B a b 12 4 12 4 11 5 11 5 10 6 10 6 + 141960 A B a b - 255528 A B a b - 1145144 A B a b 9 7 9 7 - 817960 A B a b and under the above hypothesis the sum total is, 0 (17 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(17, r) The scheme that yields the generating functions for 1 / | (17 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 16 17 3 14 17 5 12 17 7 10 17 9 8 17 11 6 17 {A B a , A B a , A B a , A B a , A B a , A B a , 13 4 17 15 2 17 17 9 8 17 11 6 17 13 4 17 15 2 A B a , A B a , A a b , A a b , A a b , A a b , 17 10 7 17 12 5 17 14 3 17 16 16 9 8 16 11 6 B a b , B a b , B a b , B a b, A B a b , A B a b , 16 13 4 16 15 2 2 15 10 7 2 15 12 5 2 15 14 3 A B a b , A B a b , A B a b , A B a b , A B a b , 2 15 16 3 14 9 8 3 14 11 6 3 14 13 4 3 14 15 2 A B a b, A B a b , A B a b , A B a b , A B a b , 4 13 10 7 4 13 12 5 4 13 14 3 4 13 16 5 12 9 8 A B a b , A B a b , A B a b , A B a b, A B a b , 5 12 11 6 5 12 13 4 5 12 15 2 6 11 10 7 6 11 12 5 A B a b , A B a b , A B a b , A B a b , A B a b , 6 11 14 3 6 11 16 7 10 9 8 7 10 11 6 7 10 13 4 A B a b , A B a b, A B a b , A B a b , A B a b , 7 10 15 2 8 9 10 7 8 9 12 5 8 9 14 3 8 9 16 A B a b , A B a b , A B a b , A B a b , A B a b, 9 8 11 6 9 8 13 4 9 8 15 2 10 7 12 5 10 7 14 3 A B a b , A B a b , A B a b , A B a b , A B a b , 10 7 16 11 6 9 8 11 6 13 4 11 6 15 2 12 5 10 7 A B a b, A B a b , A B a b , A B a b , A B a b , 12 5 14 3 12 5 16 13 4 9 8 13 4 11 6 13 4 15 2 A B a b , A B a b, A B a b , A B a b , A B a b , 14 3 10 7 14 3 12 5 14 3 16 15 2 9 8 15 2 11 6 A B a b , A B a b , A B a b, A B a b , A B a b , 15 2 13 4 16 10 7 16 12 5 16 14 3 A B a b , A B a b , A B a b , A B a b } 16 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 510 A B a b + 28288 A B a b - 598400 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 5997600 A B a b - 31534048 A B a b + 90097280 A B a b 10 7 10 7 9 8 9 8 - 133491072 A B a b + 69526600 A B a b and under the above hypothesis the sum total is, 0 3 14 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 374 A B a b + 14144 A B a b - 179520 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 799680 A B a b - 9009728 A B a b + 22248512 A B a b 9 8 9 8 - 13905320 A B a b and under the above hypothesis the sum total is, 0 5 12 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 238 A B a b + 4352 A B a b - 285600 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 1039584 A B a b + 792064 A B a b - 6845696 A B a b 9 8 9 8 + 5348200 A B a b and under the above hypothesis the sum total is, 0 7 10 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 102 A B a b - 1088 A B a b + 27200 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 693056 A B a b + 693056 A B a b + 3267264 A B a b 9 8 9 8 - 3403400 A B a b and under the above hypothesis the sum total is, 0 9 8 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 34 A B a b - 2176 A B a b - 10880 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 133280 A B a b + 346528 A B a b - 1386112 A B a b 10 7 10 7 9 8 9 8 - 2178176 A B a b + 3403400 A B a b and under the above hypothesis the sum total is, 0 11 6 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 170 A B a b + 1088 A B a b - 27200 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 190400 A B a b + 198016 A B a b + 2475200 A B a b 10 7 10 7 9 8 9 8 + 1711424 A B a b - 5348200 A B a b and under the above hypothesis the sum total is, 0 13 4 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 306 A B a b + 8704 A B a b + 65280 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 57120 A B a b - 1930656 A B a b - 5148416 A B a b 9 8 9 8 + 13905320 A B a b and under the above hypothesis the sum total is, 0 15 2 17 The important part in the children of, A B a , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 442 A B a b + 20672 A B a b + 353600 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 2665600 A B a b + 9009728 A B a b + 9009728 A B a b 10 7 10 7 9 8 9 8 - 22248512 A B a b - 69526600 A B a b and under the above hypothesis the sum total is, 0 17 9 8 The important part in the children of, A a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 34 A B a b - 2176 A B a b - 10880 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 133280 A B a b + 346528 A B a b - 1386112 A B a b 10 7 10 7 9 8 9 8 - 2178176 A B a b + 3403400 A B a b and under the above hypothesis the sum total is, 0 17 11 6 The important part in the children of, A a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 170 A B a b + 1088 A B a b - 27200 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 190400 A B a b + 198016 A B a b + 2475200 A B a b 10 7 10 7 9 8 9 8 + 1711424 A B a b - 5348200 A B a b and under the above hypothesis the sum total is, 0 17 13 4 The important part in the children of, A a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 306 A B a b + 8704 A B a b + 65280 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 57120 A B a b - 1930656 A B a b - 5148416 A B a b 9 8 9 8 + 13905320 A B a b and under the above hypothesis the sum total is, 0 17 15 2 The important part in the children of, A a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 442 A B a b + 20672 A B a b + 353600 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 2665600 A B a b + 9009728 A B a b + 9009728 A B a b 10 7 10 7 9 8 9 8 - 22248512 A B a b - 69526600 A B a b and under the above hypothesis the sum total is, 0 17 10 7 The important part in the children of, B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 102 A B a b - 1088 A B a b + 27200 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 693056 A B a b + 693056 A B a b + 3267264 A B a b 9 8 9 8 - 3403400 A B a b and under the above hypothesis the sum total is, 0 17 12 5 The important part in the children of, B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 238 A B a b + 4352 A B a b - 285600 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 1039584 A B a b + 792064 A B a b - 6845696 A B a b 9 8 9 8 + 5348200 A B a b and under the above hypothesis the sum total is, 0 17 14 3 The important part in the children of, B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 374 A B a b + 14144 A B a b - 179520 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 799680 A B a b - 9009728 A B a b + 22248512 A B a b 9 8 9 8 - 13905320 A B a b and under the above hypothesis the sum total is, 0 17 16 The important part in the children of, B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 510 A B a b + 28288 A B a b - 598400 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 5997600 A B a b - 31534048 A B a b + 90097280 A B a b 10 7 10 7 9 8 9 8 - 133491072 A B a b + 69526600 A B a b and under the above hypothesis the sum total is, 0 16 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 30 A B a b - 1664 A B a b + 7040 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 70560 A B a b - 142688 A B a b - 407680 A B a b 10 7 10 7 9 8 9 8 + 384384 A B a b + 200200 A B a b and under the above hypothesis the sum total is, 0 16 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 150 A B a b + 832 A B a b + 17600 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 100800 A B a b - 81536 A B a b + 728000 A B a b 10 7 10 7 9 8 9 8 - 302016 A B a b - 314600 A B a b and under the above hypothesis the sum total is, 0 16 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 270 A B a b + 6656 A B a b - 42240 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 30240 A B a b + 794976 A B a b - 1514240 A B a b 9 8 9 8 + 817960 A B a b and under the above hypothesis the sum total is, 0 16 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 390 A B a b + 15808 A B a b - 228800 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 1411200 A B a b - 3709888 A B a b + 2649920 A B a b 10 7 10 7 9 8 9 8 + 3926208 A B a b - 4089800 A B a b and under the above hypothesis the sum total is, 0 2 15 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 78 A B a b - 608 A B a b + 10400 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 81536 A B a b + 20384 A B a b - 96096 A B a b 9 8 9 8 + 200200 A B a b and under the above hypothesis the sum total is, 0 2 15 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 182 A B a b + 2432 A B a b - 67200 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 122304 A B a b + 23296 A B a b + 201344 A B a b 9 8 9 8 - 314600 A B a b and under the above hypothesis the sum total is, 0 2 15 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 286 A B a b + 7904 A B a b - 68640 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 188160 A B a b - 264992 A B a b - 654368 A B a b 9 8 9 8 + 817960 A B a b and under the above hypothesis the sum total is, 0 2 15 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 390 A B a b + 15808 A B a b - 228800 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 1411200 A B a b - 3709888 A B a b + 2649920 A B a b 10 7 10 7 9 8 9 8 + 3926208 A B a b - 4089800 A B a b and under the above hypothesis the sum total is, 0 3 14 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 22 A B a b - 832 A B a b + 2112 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 9408 A B a b + 40768 A B a b - 64064 A B a b 9 8 9 8 - 40040 A B a b and under the above hypothesis the sum total is, 0 3 14 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 110 A B a b + 416 A B a b + 5280 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 - 13440 A B a b - 72800 A B a b + 50336 A B a b 9 8 9 8 + 62920 A B a b and under the above hypothesis the sum total is, 0 3 14 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 198 A B a b + 3328 A B a b - 12672 A B a b 13 4 13 4 11 6 11 6 9 8 9 8 - 4032 A B a b + 151424 A B a b - 163592 A B a b and under the above hypothesis the sum total is, 0 3 14 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 286 A B a b + 7904 A B a b - 68640 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 188160 A B a b - 264992 A B a b - 654368 A B a b 9 8 9 8 + 817960 A B a b and under the above hypothesis the sum total is, 0 4 13 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 54 A B a b - 256 A B a b + 1920 A B a b 12 5 12 5 11 6 11 6 9 8 9 8 + 17472 A B a b - 11648 A B a b - 40040 A B a b and under the above hypothesis the sum total is, 0 4 13 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 126 A B a b + 1024 A B a b + 1440 A B a b 12 5 12 5 11 6 11 6 9 8 9 8 - 26208 A B a b - 13312 A B a b + 62920 A B a b and under the above hypothesis the sum total is, 0 4 13 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 198 A B a b + 3328 A B a b - 12672 A B a b 13 4 13 4 11 6 11 6 9 8 9 8 - 4032 A B a b + 151424 A B a b - 163592 A B a b and under the above hypothesis the sum total is, 0 4 13 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 270 A B a b + 6656 A B a b - 42240 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 30240 A B a b + 794976 A B a b - 1514240 A B a b 9 8 9 8 + 817960 A B a b and under the above hypothesis the sum total is, 0 5 12 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 14 A B a b - 256 A B a b - 3360 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 4704 A B a b - 3584 A B a b + 19712 A B a b 9 8 9 8 + 15400 A B a b and under the above hypothesis the sum total is, 0 5 12 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 70 A B a b + 128 A B a b + 4800 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 2688 A B a b + 6400 A B a b - 15488 A B a b 9 8 9 8 - 24200 A B a b and under the above hypothesis the sum total is, 0 5 12 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 126 A B a b + 1024 A B a b + 1440 A B a b 12 5 12 5 11 6 11 6 9 8 9 8 - 26208 A B a b - 13312 A B a b + 62920 A B a b and under the above hypothesis the sum total is, 0 5 12 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 182 A B a b + 2432 A B a b - 67200 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 122304 A B a b + 23296 A B a b + 201344 A B a b 9 8 9 8 - 314600 A B a b and under the above hypothesis the sum total is, 0 6 11 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 30 A B a b - 32 A B a b - 800 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 1792 A B a b + 5600 A B a b + 7392 A B a b 9 8 9 8 + 15400 A B a b and under the above hypothesis the sum total is, 0 6 11 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 70 A B a b + 128 A B a b + 4800 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 2688 A B a b + 6400 A B a b - 15488 A B a b 9 8 9 8 - 24200 A B a b and under the above hypothesis the sum total is, 0 6 11 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 110 A B a b + 416 A B a b + 5280 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 - 13440 A B a b - 72800 A B a b + 50336 A B a b 9 8 9 8 + 62920 A B a b and under the above hypothesis the sum total is, 0 6 11 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 150 A B a b + 832 A B a b + 17600 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 100800 A B a b - 81536 A B a b + 728000 A B a b 10 7 10 7 9 8 9 8 - 302016 A B a b - 314600 A B a b and under the above hypothesis the sum total is, 0 7 10 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 6 A B a b + 64 A B a b - 320 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 3136 A B a b - 3136 A B a b - 9408 A B a b 9 8 9 8 - 9800 A B a b and under the above hypothesis the sum total is, 0 7 10 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 30 A B a b - 32 A B a b - 800 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 1792 A B a b + 5600 A B a b + 7392 A B a b 9 8 9 8 + 15400 A B a b and under the above hypothesis the sum total is, 0 7 10 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 54 A B a b - 256 A B a b + 1920 A B a b 12 5 12 5 11 6 11 6 9 8 9 8 + 17472 A B a b - 11648 A B a b - 40040 A B a b and under the above hypothesis the sum total is, 0 7 10 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 78 A B a b - 608 A B a b + 10400 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 81536 A B a b + 20384 A B a b - 96096 A B a b 9 8 9 8 + 200200 A B a b and under the above hypothesis the sum total is, 0 8 9 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 6 A B a b + 64 A B a b - 320 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 3136 A B a b - 3136 A B a b - 9408 A B a b 9 8 9 8 - 9800 A B a b and under the above hypothesis the sum total is, 0 8 9 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a - 14 A B a b - 256 A B a b - 3360 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 4704 A B a b - 3584 A B a b + 19712 A B a b 9 8 9 8 + 15400 A B a b and under the above hypothesis the sum total is, 0 8 9 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 22 A B a b - 832 A B a b + 2112 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 9408 A B a b + 40768 A B a b - 64064 A B a b 9 8 9 8 - 40040 A B a b and under the above hypothesis the sum total is, 0 8 9 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a - 30 A B a b - 1664 A B a b + 7040 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 70560 A B a b - 142688 A B a b - 407680 A B a b 10 7 10 7 9 8 9 8 + 384384 A B a b + 200200 A B a b and under the above hypothesis the sum total is, 0 9 8 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 10 A B a b - 64 A B a b + 320 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 2240 A B a b + 896 A B a b - 11200 A B a b 10 7 10 7 9 8 9 8 - 4928 A B a b - 15400 A B a b and under the above hypothesis the sum total is, 0 9 8 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 18 A B a b - 512 A B a b - 768 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 672 A B a b - 8736 A B a b + 23296 A B a b 9 8 9 8 + 40040 A B a b and under the above hypothesis the sum total is, 0 9 8 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 26 A B a b - 1216 A B a b - 4160 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 31360 A B a b + 40768 A B a b - 40768 A B a b 10 7 10 7 9 8 9 8 + 64064 A B a b - 200200 A B a b and under the above hypothesis the sum total is, 0 10 7 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 12 5 12 5 2 A a + 42 A B a b - 128 A B a b - 9408 A B a b 11 6 11 6 10 7 10 7 9 8 9 8 + 1792 A B a b - 29568 A B a b - 15400 A B a b and under the above hypothesis the sum total is, 0 10 7 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 66 A B a b - 416 A B a b - 5280 A B a b 11 6 11 6 10 7 10 7 9 8 9 8 - 20384 A B a b + 96096 A B a b + 40040 A B a b and under the above hypothesis the sum total is, 0 10 7 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 90 A B a b - 832 A B a b - 17600 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 285376 A B a b + 203840 A B a b - 576576 A B a b 9 8 9 8 - 200200 A B a b and under the above hypothesis the sum total is, 0 11 6 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 10 A B a b - 64 A B a b + 320 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 2240 A B a b + 896 A B a b - 11200 A B a b 10 7 10 7 9 8 9 8 - 4928 A B a b - 15400 A B a b and under the above hypothesis the sum total is, 0 11 6 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 90 A B a b + 256 A B a b - 1920 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 960 A B a b - 4992 A B a b - 41600 A B a b 9 8 9 8 - 62920 A B a b and under the above hypothesis the sum total is, 0 11 6 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 130 A B a b + 608 A B a b - 10400 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 44800 A B a b + 23296 A B a b + 72800 A B a b 10 7 10 7 9 8 9 8 - 50336 A B a b + 314600 A B a b and under the above hypothesis the sum total is, 0 12 5 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 12 5 12 5 2 A a + 42 A B a b - 128 A B a b - 9408 A B a b 11 6 11 6 10 7 10 7 9 8 9 8 + 1792 A B a b - 29568 A B a b - 15400 A B a b and under the above hypothesis the sum total is, 0 12 5 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a + 154 A B a b + 1664 A B a b - 20160 A B a b 11 6 11 6 10 7 10 7 9 8 9 8 - 23296 A B a b - 201344 A B a b - 62920 A B a b and under the above hypothesis the sum total is, 0 12 5 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a + 210 A B a b + 3328 A B a b - 151200 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 428064 A B a b + 232960 A B a b + 1208064 A B a b 9 8 9 8 + 314600 A B a b and under the above hypothesis the sum total is, 0 13 4 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 18 A B a b - 512 A B a b - 768 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 672 A B a b - 8736 A B a b + 23296 A B a b 9 8 9 8 + 40040 A B a b and under the above hypothesis the sum total is, 0 13 4 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 90 A B a b + 256 A B a b - 1920 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 960 A B a b - 4992 A B a b - 41600 A B a b 9 8 9 8 - 62920 A B a b and under the above hypothesis the sum total is, 0 13 4 15 2 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 234 A B a b + 4864 A B a b + 24960 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 13440 A B a b - 227136 A B a b - 151424 A B a b 9 8 9 8 - 817960 A B a b and under the above hypothesis the sum total is, 0 14 3 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 66 A B a b - 416 A B a b - 5280 A B a b 11 6 11 6 10 7 10 7 9 8 9 8 - 20384 A B a b + 96096 A B a b + 40040 A B a b and under the above hypothesis the sum total is, 0 14 3 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a + 154 A B a b + 1664 A B a b - 20160 A B a b 11 6 11 6 10 7 10 7 9 8 9 8 - 23296 A B a b - 201344 A B a b - 62920 A B a b and under the above hypothesis the sum total is, 0 14 3 16 The important part in the children of, A B a b, are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 330 A B a b + 10816 A B a b + 116160 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 423360 A B a b - 2649920 A B a b - 3926208 A B a b 9 8 9 8 - 817960 A B a b and under the above hypothesis the sum total is, 0 15 2 9 8 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 26 A B a b - 1216 A B a b - 4160 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 + 31360 A B a b + 40768 A B a b - 40768 A B a b 10 7 10 7 9 8 9 8 + 64064 A B a b - 200200 A B a b and under the above hypothesis the sum total is, 0 15 2 11 6 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 130 A B a b + 608 A B a b - 10400 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 44800 A B a b + 23296 A B a b + 72800 A B a b 10 7 10 7 9 8 9 8 - 50336 A B a b + 314600 A B a b and under the above hypothesis the sum total is, 0 15 2 13 4 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 234 A B a b + 4864 A B a b + 24960 A B a b 13 4 13 4 12 5 12 5 11 6 11 6 - 13440 A B a b - 227136 A B a b - 151424 A B a b 9 8 9 8 - 817960 A B a b and under the above hypothesis the sum total is, 0 16 10 7 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 90 A B a b - 832 A B a b - 17600 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 + 285376 A B a b + 203840 A B a b - 576576 A B a b 9 8 9 8 - 200200 A B a b and under the above hypothesis the sum total is, 0 16 12 5 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 13 4 13 4 2 A a + 210 A B a b + 3328 A B a b - 151200 A B a b 12 5 12 5 11 6 11 6 10 7 10 7 - 428064 A B a b + 232960 A B a b + 1208064 A B a b 9 8 9 8 + 314600 A B a b and under the above hypothesis the sum total is, 0 16 14 3 The important part in the children of, A B a b , are 17 17 16 16 15 2 15 2 14 3 14 3 2 A a + 330 A B a b + 10816 A B a b + 116160 A B a b 13 4 13 4 11 6 11 6 10 7 10 7 + 423360 A B a b - 2649920 A B a b - 3926208 A B a b 9 8 9 8 - 817960 A B a b and under the above hypothesis the sum total is, 0 (18 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(18, r) The scheme that yields the generating functions for 1 / | (18 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 16 18 4 14 18 8 10 18 10 8 18 12 6 18 14 4 18 {A B a , A B a , A B a , A B a , A B a , A B a , 16 2 18 18 10 8 18 12 6 18 14 4 18 16 2 12 6 18 A B a , A a b , A a b , A a b , A a b , B A a , 18 10 8 18 14 4 18 16 2 18 6 12 17 11 7 17 15 3 B a b , B a b , B a b , B b a , A B a b , A B a b , 17 17 17 5 13 2 16 10 8 2 16 12 6 2 16 16 2 A B a b, A B b a , A B a b , A B a b , A B a b , 2 16 4 14 3 15 11 7 3 15 13 5 3 15 17 3 15 3 15 A B b a , A B a b , A B a b , A B a b, A B b a , 4 14 10 8 4 14 12 6 4 14 14 4 4 14 2 16 5 13 11 7 A B a b , A B a b , A B a b , A B b a , A B a b , 5 13 13 5 5 13 15 3 5 13 17 6 12 10 8 6 12 14 4 A B a b , A B a b , A B b a , A B a b , A B a b , 6 12 16 2 7 11 11 7 7 11 13 5 7 11 15 3 7 11 17 A B a b , A B a b , A B a b , A B a b , A B a b, 8 10 10 8 8 10 12 6 8 10 14 4 8 10 16 2 9 9 11 7 A B a b , A B a b , A B a b , A B a b , A B a b , 9 9 13 5 9 9 17 10 8 12 6 10 8 14 4 10 8 16 2 A B a b , A B a b, A B a b , A B a b , A B a b , 11 7 9 9 11 7 13 5 11 7 15 3 11 7 17 12 6 10 8 A B a b , A B a b , A B a b , A B a b, A B a b , 12 6 14 4 12 6 16 2 13 5 9 9 13 5 11 7 13 5 15 3 A B a b , A B a b , A B a b , A B a b , A B a b , 13 5 17 14 4 10 8 14 4 12 6 14 4 16 2 15 3 9 9 A B a b, A B a b , A B a b , A B a b , A B a b , 15 3 11 7 15 3 13 5 15 3 17 16 2 10 8 16 2 12 6 A B a b , A B a b , A B a b, A B a b , A B a b , 16 2 14 4 17 9 9 17 11 7 17 13 5 17 15 3 A B a b , A B a b , A B a b , A B a b , A B a b , 9 9 15 3 12 6 12 6 B A a b , B A a b } 2 16 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 504 A B a b + 27234 A B a b - 548352 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 5018400 A B a b - 22071168 A B a b + 40543776 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 13238784 A B a b - 175207032 A B a b + 139053200 A B a b and under the above hypothesis the sum total is, 0 4 14 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 360 A B a b + 12546 A B a b - 130560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 220320 A B a b + 2878848 A B a b - 13514592 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 13238784 A B a b + 25029576 A B a b - 27810640 A B a b and under the above hypothesis the sum total is, 0 8 10 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 72 A B a b - 2142 A B a b + 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 122400 A B a b - 959616 A B a b - 1039584 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 7128576 A B a b + 1225224 A B a b - 6806800 A B a b and under the above hypothesis the sum total is, 0 10 8 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 72 A B a b - 2142 A B a b - 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 122400 A B a b + 959616 A B a b - 1039584 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 7128576 A B a b + 1225224 A B a b + 6806800 A B a b and under the above hypothesis the sum total is, 0 12 6 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 216 A B a b + 2754 A B a b - 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 367200 A B a b - 411264 A B a b + 4306848 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 9165312 A B a b - 5776056 A B a b - 10696400 A B a b and under the above hypothesis the sum total is, 0 14 4 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 360 A B a b + 12546 A B a b + 130560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 220320 A B a b - 2878848 A B a b - 13514592 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 13238784 A B a b + 25029576 A B a b + 27810640 A B a b and under the above hypothesis the sum total is, 0 16 2 18 The important part in the children of, A B a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 504 A B a b + 27234 A B a b + 548352 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 5018400 A B a b + 22071168 A B a b + 40543776 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 13238784 A B a b - 175207032 A B a b - 139053200 A B a b and under the above hypothesis the sum total is, 0 18 10 8 The important part in the children of, A a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 72 A B a b - 2142 A B a b - 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 122400 A B a b + 959616 A B a b - 1039584 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 7128576 A B a b + 1225224 A B a b + 6806800 A B a b and under the above hypothesis the sum total is, 0 18 12 6 The important part in the children of, A a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 216 A B a b + 2754 A B a b - 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 367200 A B a b - 411264 A B a b + 4306848 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 9165312 A B a b - 5776056 A B a b - 10696400 A B a b and under the above hypothesis the sum total is, 0 18 14 4 The important part in the children of, A a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 360 A B a b + 12546 A B a b + 130560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 220320 A B a b - 2878848 A B a b - 13514592 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 13238784 A B a b + 25029576 A B a b + 27810640 A B a b and under the above hypothesis the sum total is, 0 18 16 2 The important part in the children of, A a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 504 A B a b + 27234 A B a b + 548352 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 5018400 A B a b + 22071168 A B a b + 40543776 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 13238784 A B a b - 175207032 A B a b - 139053200 A B a b and under the above hypothesis the sum total is, 0 12 6 18 The important part in the children of, B A a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 216 A B a b + 2754 A B a b + 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 367200 A B a b + 411264 A B a b + 4306848 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 9165312 A B a b - 5776056 A B a b + 10696400 A B a b and under the above hypothesis the sum total is, 0 18 10 8 The important part in the children of, B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 72 A B a b - 2142 A B a b + 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 122400 A B a b - 959616 A B a b - 1039584 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 7128576 A B a b + 1225224 A B a b - 6806800 A B a b and under the above hypothesis the sum total is, 0 18 14 4 The important part in the children of, B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 360 A B a b + 12546 A B a b - 130560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 220320 A B a b + 2878848 A B a b - 13514592 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 13238784 A B a b + 25029576 A B a b - 27810640 A B a b and under the above hypothesis the sum total is, 0 18 16 2 The important part in the children of, B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 504 A B a b + 27234 A B a b - 548352 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 5018400 A B a b - 22071168 A B a b + 40543776 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 13238784 A B a b - 175207032 A B a b + 139053200 A B a b and under the above hypothesis the sum total is, 0 18 6 12 The important part in the children of, B b a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 216 A B a b + 2754 A B a b + 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 367200 A B a b + 411264 A B a b + 4306848 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 9165312 A B a b - 5776056 A B a b + 10696400 A B a b and under the above hypothesis the sum total is, 0 17 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 128 A B a b - 238 A B a b + 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 68000 A B a b - 426496 A B a b + 1039584 A B a b 11 7 11 7 10 8 10 8 + 792064 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 17 15 3 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 384 A B a b + 14994 A B a b - 200192 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1020000 A B a b - 1279488 A B a b - 4504864 A B a b 11 7 11 7 10 8 10 8 + 13238784 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 17 17 The important part in the children of, A B a b, are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 512 A B a b + 28322 A B a b - 591872 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 5780000 A B a b - 29001728 A B a b + 76582688 A B a b 11 7 11 7 10 8 10 8 - 100026368 A B a b + 47278088 A B a b and under the above hypothesis the sum total is, 0 17 5 13 The important part in the children of, A B b a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 256 A B a b + 5474 A B a b - 17408 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 204000 A B a b + 1096704 A B a b - 643552 A B a b 11 7 11 7 10 8 10 8 - 2941952 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 2 16 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 56 A B a b - 1246 A B a b + 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 32800 A B a b - 144256 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 46592 A B a b - 56056 A B a b + 400400 A B a b and under the above hypothesis the sum total is, 0 2 16 12 6 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 168 A B a b + 1602 A B a b + 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 98400 A B a b + 61824 A B a b + 253344 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 59904 A B a b + 264264 A B a b - 629200 A B a b and under the above hypothesis the sum total is, 0 2 16 16 2 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 392 A B a b + 15842 A B a b - 225792 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1344800 A B a b - 3317888 A B a b + 2384928 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 86528 A B a b + 8016008 A B a b - 8179600 A B a b and under the above hypothesis the sum total is, 0 2 16 4 14 The important part in the children of, A B b a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 280 A B a b + 7298 A B a b - 53760 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 59040 A B a b + 432768 A B a b - 794976 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 86528 A B a b - 1145144 A B a b + 1635920 A B a b and under the above hypothesis the sum total is, 0 3 15 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 96 A B a b - 126 A B a b + 8832 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 12000 A B a b - 18816 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 - 104832 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 3 15 13 5 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 192 A B a b + 2898 A B a b - 5888 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 36000 A B a b + 48384 A B a b + 37856 A B a b 11 7 11 7 10 8 10 8 + 389376 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 3 15 17 The important part in the children of, A B a b, are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 384 A B a b + 14994 A B a b - 200192 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1020000 A B a b - 1279488 A B a b - 4504864 A B a b 11 7 11 7 10 8 10 8 + 13238784 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 3 15 3 15 The important part in the children of, A B b a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 288 A B a b + 7938 A B a b - 67712 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 180000 A B a b - 56448 A B a b + 264992 A B a b 11 7 11 7 10 8 10 8 - 1752192 A B a b + 1472328 A B a b and under the above hypothesis the sum total is, 0 4 14 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 40 A B a b - 574 A B a b + 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1440 A B a b + 18816 A B a b + 20384 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 46592 A B a b + 8008 A B a b - 80080 A B a b and under the above hypothesis the sum total is, 0 4 14 12 6 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 120 A B a b + 738 A B a b + 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 4320 A B a b - 8064 A B a b - 84448 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 59904 A B a b - 37752 A B a b + 125840 A B a b and under the above hypothesis the sum total is, 0 4 14 14 4 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 200 A B a b + 3362 A B a b - 12800 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 2592 A B a b - 56448 A B a b + 264992 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 86528 A B a b + 163592 A B a b - 327184 A B a b and under the above hypothesis the sum total is, 0 4 14 2 16 The important part in the children of, A B b a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 280 A B a b + 7298 A B a b - 53760 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 59040 A B a b + 432768 A B a b - 794976 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 86528 A B a b - 1145144 A B a b + 1635920 A B a b and under the above hypothesis the sum total is, 0 5 13 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 64 A B a b - 46 A B a b + 768 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 2400 A B a b + 16128 A B a b - 8736 A B a b 11 7 11 7 10 8 10 8 + 23296 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 5 13 13 5 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 128 A B a b + 1058 A B a b - 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 7200 A B a b - 41472 A B a b + 5408 A B a b 11 7 11 7 10 8 10 8 - 86528 A B a b + 163592 A B a b and under the above hypothesis the sum total is, 0 5 13 15 3 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 192 A B a b + 2898 A B a b - 5888 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 36000 A B a b + 48384 A B a b + 37856 A B a b 11 7 11 7 10 8 10 8 + 389376 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 5 13 17 The important part in the children of, A B b a , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 256 A B a b + 5474 A B a b - 17408 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 204000 A B a b + 1096704 A B a b - 643552 A B a b 11 7 11 7 10 8 10 8 - 2941952 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 6 12 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 24 A B a b - 126 A B a b - 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 2400 A B a b + 2688 A B a b - 6496 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 32256 A B a b - 1848 A B a b + 30800 A B a b and under the above hypothesis the sum total is, 0 6 12 14 4 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 120 A B a b + 738 A B a b + 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 4320 A B a b - 8064 A B a b - 84448 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 59904 A B a b - 37752 A B a b + 125840 A B a b and under the above hypothesis the sum total is, 0 6 12 16 2 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 168 A B a b + 1602 A B a b + 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 98400 A B a b + 61824 A B a b + 253344 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 59904 A B a b + 264264 A B a b - 629200 A B a b and under the above hypothesis the sum total is, 0 7 11 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 32 A B a b + 2 A B a b - 1152 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 800 A B a b - 6272 A B a b + 14112 A B a b 11 7 11 7 10 8 10 8 - 6272 A B a b + 47432 A B a b and under the above hypothesis the sum total is, 0 7 11 13 5 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 64 A B a b - 46 A B a b + 768 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 2400 A B a b + 16128 A B a b - 8736 A B a b 11 7 11 7 10 8 10 8 + 23296 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 7 11 15 3 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 96 A B a b - 126 A B a b + 8832 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 12000 A B a b - 18816 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 - 104832 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 7 11 17 The important part in the children of, A B a b, are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 128 A B a b - 238 A B a b + 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 68000 A B a b - 426496 A B a b + 1039584 A B a b 11 7 11 7 10 8 10 8 + 792064 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 8 10 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 8 A B a b + 98 A B a b - 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 800 A B a b - 6272 A B a b + 1568 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 25088 A B a b + 392 A B a b - 19600 A B a b and under the above hypothesis the sum total is, 0 8 10 12 6 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 24 A B a b - 126 A B a b - 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 2400 A B a b + 2688 A B a b - 6496 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 32256 A B a b - 1848 A B a b + 30800 A B a b and under the above hypothesis the sum total is, 0 8 10 14 4 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 40 A B a b - 574 A B a b + 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1440 A B a b + 18816 A B a b + 20384 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 46592 A B a b + 8008 A B a b - 80080 A B a b and under the above hypothesis the sum total is, 0 8 10 16 2 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 56 A B a b - 1246 A B a b + 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 32800 A B a b - 144256 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 46592 A B a b - 56056 A B a b + 400400 A B a b and under the above hypothesis the sum total is, 0 9 9 11 7 The important part in the children of, A B a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a + 18 A B a b - 1440 A B a b - 14112 A B a b 10 8 10 8 - 38808 A B a b and under the above hypothesis the sum total is, 0 9 9 13 5 The important part in the children of, A B a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a - 414 A B a b - 4320 A B a b + 8736 A B a b 10 8 10 8 + 72072 A B a b and under the above hypothesis the sum total is, 0 9 9 17 The important part in the children of, A B a b, are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a - 2142 A B a b + 122400 A B a b - 1039584 A B a b 10 8 10 8 + 1225224 A B a b and under the above hypothesis the sum total is, 0 10 8 12 6 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 24 A B a b - 126 A B a b + 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 2400 A B a b - 2688 A B a b - 6496 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 32256 A B a b - 1848 A B a b - 30800 A B a b and under the above hypothesis the sum total is, 0 10 8 14 4 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 40 A B a b - 574 A B a b - 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1440 A B a b - 18816 A B a b + 20384 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 46592 A B a b + 8008 A B a b + 80080 A B a b and under the above hypothesis the sum total is, 0 10 8 16 2 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 56 A B a b - 1246 A B a b - 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 32800 A B a b + 144256 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 46592 A B a b - 56056 A B a b - 400400 A B a b and under the above hypothesis the sum total is, 0 11 7 9 9 The important part in the children of, A B a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a + 18 A B a b - 1440 A B a b - 14112 A B a b 10 8 10 8 - 38808 A B a b and under the above hypothesis the sum total is, 0 11 7 13 5 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 64 A B a b - 46 A B a b - 768 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 2400 A B a b - 16128 A B a b - 8736 A B a b 11 7 11 7 10 8 10 8 - 23296 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 11 7 15 3 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 96 A B a b - 126 A B a b - 8832 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 12000 A B a b + 18816 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 + 104832 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 11 7 17 The important part in the children of, A B a b, are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 128 A B a b - 238 A B a b - 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 68000 A B a b + 426496 A B a b + 1039584 A B a b 11 7 11 7 10 8 10 8 - 792064 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 12 6 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 24 A B a b - 126 A B a b + 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 2400 A B a b - 2688 A B a b - 6496 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 32256 A B a b - 1848 A B a b - 30800 A B a b and under the above hypothesis the sum total is, 0 12 6 14 4 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 120 A B a b + 738 A B a b - 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 4320 A B a b + 8064 A B a b - 84448 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 59904 A B a b - 37752 A B a b - 125840 A B a b and under the above hypothesis the sum total is, 0 12 6 16 2 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 168 A B a b + 1602 A B a b - 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 98400 A B a b - 61824 A B a b + 253344 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 59904 A B a b + 264264 A B a b + 629200 A B a b and under the above hypothesis the sum total is, 0 13 5 9 9 The important part in the children of, A B a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a - 414 A B a b - 4320 A B a b + 8736 A B a b 10 8 10 8 + 72072 A B a b and under the above hypothesis the sum total is, 0 13 5 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 64 A B a b - 46 A B a b - 768 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 2400 A B a b - 16128 A B a b - 8736 A B a b 11 7 11 7 10 8 10 8 - 23296 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 13 5 15 3 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 192 A B a b + 2898 A B a b + 5888 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 36000 A B a b - 48384 A B a b + 37856 A B a b 11 7 11 7 10 8 10 8 - 389376 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 13 5 17 The important part in the children of, A B a b, are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 256 A B a b + 5474 A B a b + 17408 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 204000 A B a b - 1096704 A B a b - 643552 A B a b 11 7 11 7 10 8 10 8 + 2941952 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 14 4 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 40 A B a b - 574 A B a b - 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1440 A B a b - 18816 A B a b + 20384 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 46592 A B a b + 8008 A B a b + 80080 A B a b and under the above hypothesis the sum total is, 0 14 4 12 6 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 120 A B a b + 738 A B a b - 2560 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 4320 A B a b + 8064 A B a b - 84448 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 59904 A B a b - 37752 A B a b - 125840 A B a b and under the above hypothesis the sum total is, 0 14 4 16 2 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 280 A B a b + 7298 A B a b + 53760 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 59040 A B a b - 432768 A B a b - 794976 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 86528 A B a b - 1145144 A B a b - 1635920 A B a b and under the above hypothesis the sum total is, 0 15 3 9 9 The important part in the children of, A B a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a - 1134 A B a b + 21600 A B a b + 61152 A B a b 10 8 10 8 - 216216 A B a b and under the above hypothesis the sum total is, 0 15 3 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 96 A B a b - 126 A B a b - 8832 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 12000 A B a b + 18816 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 + 104832 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 15 3 13 5 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 192 A B a b + 2898 A B a b + 5888 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 36000 A B a b - 48384 A B a b + 37856 A B a b 11 7 11 7 10 8 10 8 - 389376 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 15 3 17 The important part in the children of, A B a b, are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 384 A B a b + 14994 A B a b + 200192 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1020000 A B a b + 1279488 A B a b - 4504864 A B a b 11 7 11 7 10 8 10 8 - 13238784 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 16 2 10 8 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 56 A B a b - 1246 A B a b - 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 32800 A B a b + 144256 A B a b - 61152 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 46592 A B a b - 56056 A B a b - 400400 A B a b and under the above hypothesis the sum total is, 0 16 2 12 6 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 168 A B a b + 1602 A B a b - 10752 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 98400 A B a b - 61824 A B a b + 253344 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 59904 A B a b + 264264 A B a b + 629200 A B a b and under the above hypothesis the sum total is, 0 16 2 14 4 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 280 A B a b + 7298 A B a b + 53760 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 59040 A B a b - 432768 A B a b - 794976 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 + 86528 A B a b - 1145144 A B a b - 1635920 A B a b and under the above hypothesis the sum total is, 0 17 9 9 The important part in the children of, A B a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a - 2142 A B a b + 122400 A B a b - 1039584 A B a b 10 8 10 8 + 1225224 A B a b and under the above hypothesis the sum total is, 0 17 11 7 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 128 A B a b - 238 A B a b - 26112 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 68000 A B a b + 426496 A B a b + 1039584 A B a b 11 7 11 7 10 8 10 8 - 792064 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 17 13 5 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 256 A B a b + 5474 A B a b + 17408 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 - 204000 A B a b - 1096704 A B a b - 643552 A B a b 11 7 11 7 10 8 10 8 + 2941952 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 17 15 3 The important part in the children of, A B a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a + 384 A B a b + 14994 A B a b + 200192 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 1020000 A B a b + 1279488 A B a b - 4504864 A B a b 11 7 11 7 10 8 10 8 - 13238784 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 9 9 15 3 The important part in the children of, B A a b , are 18 18 16 2 16 2 14 4 14 4 12 6 12 6 2 A a - 1134 A B a b + 21600 A B a b + 61152 A B a b 10 8 10 8 - 216216 A B a b and under the above hypothesis the sum total is, 0 12 6 12 6 The important part in the children of, B A a b , are 18 18 17 17 16 2 16 2 15 3 15 3 2 A a - 72 A B a b + 162 A B a b - 512 A B a b 14 4 14 4 13 5 13 5 12 6 12 6 + 7200 A B a b - 1152 A B a b + 26912 A B a b 11 7 11 7 10 8 10 8 9 9 9 9 - 41472 A B a b + 8712 A B a b - 48400 A B a b and under the above hypothesis the sum total is, 0 (19 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(19, r) The scheme that yields the generating functions for 1 / | (19 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 18 19 3 16 19 5 14 19 7 12 19 9 10 19 11 8 19 {A B a , A B a , A B a , A B a , A B a , A B a , 13 6 19 15 4 19 17 2 19 19 11 8 19 13 6 19 15 4 A B a , A B a , A B a , A a b , A a b , A a b , 19 17 2 19 10 9 19 12 7 19 14 5 19 16 3 19 18 A a b , B a b , B a b , B a b , B a b , B a b, 18 11 8 18 13 6 18 15 4 18 17 2 2 17 10 9 A B a b , A B a b , A B a b , A B a b , A B a b , 2 17 12 7 2 17 14 5 2 17 16 3 2 17 18 3 16 11 8 A B a b , A B a b , A B a b , A B a b, A B a b , 3 16 13 6 3 16 15 4 3 16 17 2 4 15 10 9 4 15 12 7 A B a b , A B a b , A B a b , A B a b , A B a b , 4 15 14 5 4 15 16 3 4 15 18 5 14 11 8 5 14 13 6 A B a b , A B a b , A B a b, A B a b , A B a b , 5 14 15 4 5 14 17 2 6 13 10 9 6 13 12 7 6 13 14 5 A B a b , A B a b , A B a b , A B a b , A B a b , 6 13 16 3 6 13 18 7 12 11 8 7 12 13 6 7 12 15 4 A B a b , A B a b, A B a b , A B a b , A B a b , 7 12 17 2 8 11 10 9 8 11 12 7 8 11 14 5 8 11 16 3 A B a b , A B a b , A B a b , A B a b , A B a b , 8 11 18 9 10 11 8 9 10 13 6 9 10 15 4 9 10 17 2 A B a b, A B a b , A B a b , A B a b , A B a b , 10 9 12 7 10 9 14 5 10 9 16 3 10 9 18 11 8 13 6 A B a b , A B a b , A B a b , A B a b, A B a b , 11 8 15 4 11 8 17 2 12 7 10 9 12 7 14 5 12 7 16 3 A B a b , A B a b , A B a b , A B a b , A B a b , 12 7 18 13 6 11 8 13 6 15 4 13 6 17 2 14 5 10 9 A B a b, A B a b , A B a b , A B a b , A B a b , 14 5 12 7 14 5 16 3 14 5 18 15 4 11 8 15 4 13 6 A B a b , A B a b , A B a b, A B a b , A B a b , 15 4 17 2 16 3 10 9 16 3 12 7 16 3 14 5 16 3 18 A B a b , A B a b , A B a b , A B a b , A B a b, 17 2 11 8 17 2 13 6 17 2 15 4 18 10 9 18 12 7 A B a b , A B a b , A B a b , A B a b , A B a b , 18 14 5 18 16 3 A B a b , A B a b } 18 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 646 A B a b + 46170 A B a b - 1284894 A B a b 15 4 15 4 14 5 14 5 + 17395488 A B a b - 128094048 A B a b 13 6 13 6 12 7 12 7 + 542422944 A B a b - 1336289760 A B a b 11 8 11 8 10 9 10 9 + 1803991176 A B a b - 898283672 A B a b and under the above hypothesis the sum total is, 0 3 16 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 494 A B a b + 25650 A B a b - 478686 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 3751968 A B a b - 10883808 A B a b - 10635744 A B a b 12 7 12 7 11 8 11 8 + 131008800 A B a b - 271188216 A B a b 10 9 10 9 + 158520648 A B a b and under the above hypothesis the sum total is, 0 5 14 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 342 A B a b + 10602 A B a b - 75582 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 341088 A B a b + 4744224 A B a b - 10635744 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 15721056 A B a b + 74675016 A B a b - 52840216 A B a b and under the above hypothesis the sum total is, 0 7 12 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 190 A B a b + 1026 A B a b + 48450 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 341088 A B a b - 837216 A B a b + 7596960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 2821728 A B a b - 31744440 A B a b + 28452424 A B a b and under the above hypothesis the sum total is, 0 9 10 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 38 A B a b - 3078 A B a b + 17442 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 279072 A B a b - 837216 A B a b - 4558176 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 8465184 A B a b + 19046664 A B a b - 23279256 A B a b and under the above hypothesis the sum total is, 0 11 8 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 114 A B a b - 1710 A B a b - 44574 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 31008 A B a b + 1767456 A B a b + 1519392 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 14108640 A B a b - 14814072 A B a b + 28452424 A B a b and under the above hypothesis the sum total is, 0 13 6 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 266 A B a b + 5130 A B a b - 13566 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 589152 A B a b - 1953504 A B a b + 4992288 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 26201760 A B a b + 11790792 A B a b - 52840216 A B a b and under the above hypothesis the sum total is, 0 15 4 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 418 A B a b + 17442 A B a b + 234498 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 899232 A B a b - 3069792 A B a b - 28868448 A B a b 12 7 12 7 11 8 11 8 - 57643872 A B a b + 11790792 A B a b 10 9 10 9 + 158520648 A B a b and under the above hypothesis the sum total is, 0 17 2 19 The important part in the children of, A B a , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 570 A B a b + 35226 A B a b + 823650 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 8961312 A B a b + 49023648 A B a b + 129148320 A B a b 12 7 12 7 11 8 11 8 + 89085984 A B a b - 334072440 A B a b 10 9 10 9 - 898283672 A B a b and under the above hypothesis the sum total is, 0 19 11 8 The important part in the children of, A a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 114 A B a b - 1710 A B a b - 44574 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 31008 A B a b + 1767456 A B a b + 1519392 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 14108640 A B a b - 14814072 A B a b + 28452424 A B a b and under the above hypothesis the sum total is, 0 19 13 6 The important part in the children of, A a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 266 A B a b + 5130 A B a b - 13566 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 589152 A B a b - 1953504 A B a b + 4992288 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 26201760 A B a b + 11790792 A B a b - 52840216 A B a b and under the above hypothesis the sum total is, 0 19 15 4 The important part in the children of, A a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 418 A B a b + 17442 A B a b + 234498 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 899232 A B a b - 3069792 A B a b - 28868448 A B a b 12 7 12 7 11 8 11 8 - 57643872 A B a b + 11790792 A B a b 10 9 10 9 + 158520648 A B a b and under the above hypothesis the sum total is, 0 19 17 2 The important part in the children of, A a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 570 A B a b + 35226 A B a b + 823650 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 8961312 A B a b + 49023648 A B a b + 129148320 A B a b 12 7 12 7 11 8 11 8 + 89085984 A B a b - 334072440 A B a b 10 9 10 9 - 898283672 A B a b and under the above hypothesis the sum total is, 0 19 10 9 The important part in the children of, B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 38 A B a b - 3078 A B a b + 17442 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 279072 A B a b - 837216 A B a b - 4558176 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 8465184 A B a b + 19046664 A B a b - 23279256 A B a b and under the above hypothesis the sum total is, 0 19 12 7 The important part in the children of, B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 190 A B a b + 1026 A B a b + 48450 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 341088 A B a b - 837216 A B a b + 7596960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 2821728 A B a b - 31744440 A B a b + 28452424 A B a b and under the above hypothesis the sum total is, 0 19 14 5 The important part in the children of, B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 342 A B a b + 10602 A B a b - 75582 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 341088 A B a b + 4744224 A B a b - 10635744 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 15721056 A B a b + 74675016 A B a b - 52840216 A B a b and under the above hypothesis the sum total is, 0 19 16 3 The important part in the children of, B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 494 A B a b + 25650 A B a b - 478686 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 3751968 A B a b - 10883808 A B a b - 10635744 A B a b 12 7 12 7 11 8 11 8 + 131008800 A B a b - 271188216 A B a b 10 9 10 9 + 158520648 A B a b and under the above hypothesis the sum total is, 0 19 18 The important part in the children of, B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 646 A B a b + 46170 A B a b - 1284894 A B a b 15 4 15 4 14 5 14 5 + 17395488 A B a b - 128094048 A B a b 13 6 13 6 12 7 12 7 + 542422944 A B a b - 1336289760 A B a b 11 8 11 8 10 9 10 9 + 1803991176 A B a b - 898283672 A B a b and under the above hypothesis the sum total is, 0 18 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 102 A B a b - 1350 A B a b + 30498 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 17952 A B a b - 837216 A B a b + 559776 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 3712800 A B a b - 2339064 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 18 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 238 A B a b + 4050 A B a b + 9282 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 341088 A B a b + 925344 A B a b + 1839264 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 6895200 A B a b + 1861704 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 18 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 374 A B a b + 13770 A B a b - 160446 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 520608 A B a b + 1454112 A B a b - 10635744 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 15169440 A B a b + 1861704 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 18 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 510 A B a b + 27810 A B a b - 563550 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 5188128 A B a b - 23221728 A B a b + 47580960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 23443680 A B a b - 52748280 A B a b + 47278088 A B a b and under the above hypothesis the sum total is, 0 2 17 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 30 A B a b - 1854 A B a b + 7650 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 83232 A B a b - 151776 A B a b - 399840 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 148512 A B a b - 556920 A B a b + 1225224 A B a b and under the above hypothesis the sum total is, 0 2 17 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 150 A B a b + 618 A B a b + 21250 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 101728 A B a b - 151776 A B a b + 666400 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 49504 A B a b + 928200 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 2 17 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 270 A B a b + 6386 A B a b - 33150 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 101728 A B a b + 860064 A B a b - 932960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 275808 A B a b - 2183480 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 2 17 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 390 A B a b + 15450 A B a b - 209950 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 1119008 A B a b - 1973088 A B a b - 932960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 2298400 A B a b + 7929480 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 2 17 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 510 A B a b + 27810 A B a b - 563550 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 5188128 A B a b - 23221728 A B a b + 47580960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 23443680 A B a b - 52748280 A B a b + 47278088 A B a b and under the above hypothesis the sum total is, 0 3 16 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 78 A B a b - 750 A B a b + 11362 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 3872 A B a b - 71136 A B a b - 10976 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 364000 A B a b + 351624 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 3 16 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 182 A B a b + 2250 A B a b + 3458 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 73568 A B a b + 78624 A B a b - 36064 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 676000 A B a b - 279864 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 3 16 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 286 A B a b + 7650 A B a b - 59774 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 112288 A B a b + 123552 A B a b + 208544 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 1487200 A B a b - 279864 A B a b + 1472328 A B a b and under the above hypothesis the sum total is, 0 3 16 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 390 A B a b + 15450 A B a b - 209950 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 1119008 A B a b - 1973088 A B a b - 932960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 2298400 A B a b + 7929480 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 4 15 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 22 A B a b - 918 A B a b + 2178 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 8352 A B a b + 9504 A B a b + 89376 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 96096 A B a b + 19656 A B a b - 216216 A B a b and under the above hypothesis the sum total is, 0 4 15 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 110 A B a b + 306 A B a b + 6050 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 10208 A B a b + 9504 A B a b - 148960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 32032 A B a b - 32760 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 4 15 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 198 A B a b + 3162 A B a b - 9438 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 10208 A B a b - 53856 A B a b + 208544 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 178464 A B a b + 77064 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 4 15 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 286 A B a b + 7650 A B a b - 59774 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 112288 A B a b + 123552 A B a b + 208544 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 1487200 A B a b - 279864 A B a b + 1472328 A B a b and under the above hypothesis the sum total is, 0 4 15 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 374 A B a b + 13770 A B a b - 160446 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 520608 A B a b + 1454112 A B a b - 10635744 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 15169440 A B a b + 1861704 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 5 14 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 54 A B a b - 310 A B a b + 1794 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 352 A B a b + 31008 A B a b - 10976 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 43680 A B a b - 96824 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 5 14 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 126 A B a b + 930 A B a b + 546 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 6688 A B a b - 34272 A B a b - 36064 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 81120 A B a b + 77064 A B a b + 163592 A B a b and under the above hypothesis the sum total is, 0 5 14 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 198 A B a b + 3162 A B a b - 9438 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 10208 A B a b - 53856 A B a b + 208544 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 178464 A B a b + 77064 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 5 14 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 270 A B a b + 6386 A B a b - 33150 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 101728 A B a b + 860064 A B a b - 932960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 275808 A B a b - 2183480 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 6 13 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 14 A B a b - 270 A B a b - 126 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 5472 A B a b + 6048 A B a b - 15456 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 43680 A B a b + 19656 A B a b + 72072 A B a b and under the above hypothesis the sum total is, 0 6 13 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 70 A B a b + 90 A B a b - 350 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 6688 A B a b + 6048 A B a b + 25760 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 14560 A B a b - 32760 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 6 13 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 126 A B a b + 930 A B a b + 546 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 6688 A B a b - 34272 A B a b - 36064 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 81120 A B a b + 77064 A B a b + 163592 A B a b and under the above hypothesis the sum total is, 0 6 13 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 182 A B a b + 2250 A B a b + 3458 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 73568 A B a b + 78624 A B a b - 36064 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 676000 A B a b - 279864 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 6 13 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 238 A B a b + 4050 A B a b + 9282 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 341088 A B a b + 925344 A B a b + 1839264 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 6895200 A B a b + 1861704 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 7 12 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 30 A B a b - 30 A B a b - 1150 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 352 A B a b - 5472 A B a b + 7840 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 7840 A B a b + 41160 A B a b + 47432 A B a b and under the above hypothesis the sum total is, 0 7 12 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 70 A B a b + 90 A B a b - 350 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 6688 A B a b + 6048 A B a b + 25760 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 14560 A B a b - 32760 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 7 12 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 110 A B a b + 306 A B a b + 6050 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 10208 A B a b + 9504 A B a b - 148960 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 32032 A B a b - 32760 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 7 12 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 150 A B a b + 618 A B a b + 21250 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 101728 A B a b - 151776 A B a b + 666400 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 49504 A B a b + 928200 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 8 11 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 6 A B a b + 90 A B a b - 414 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 288 A B a b - 5472 A B a b - 4704 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 23520 A B a b - 24696 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 8 11 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 30 A B a b - 30 A B a b - 1150 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 352 A B a b - 5472 A B a b + 7840 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 7840 A B a b + 41160 A B a b + 47432 A B a b and under the above hypothesis the sum total is, 0 8 11 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 54 A B a b - 310 A B a b + 1794 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 352 A B a b + 31008 A B a b - 10976 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 43680 A B a b - 96824 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 8 11 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 78 A B a b - 750 A B a b + 11362 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 3872 A B a b - 71136 A B a b - 10976 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 364000 A B a b + 351624 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 8 11 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 102 A B a b - 1350 A B a b + 30498 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 17952 A B a b - 837216 A B a b + 559776 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 3712800 A B a b - 2339064 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 9 10 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 6 A B a b + 90 A B a b - 414 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 288 A B a b - 5472 A B a b - 4704 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 23520 A B a b - 24696 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 9 10 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 14 A B a b - 270 A B a b - 126 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 5472 A B a b + 6048 A B a b - 15456 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 43680 A B a b + 19656 A B a b + 72072 A B a b and under the above hypothesis the sum total is, 0 9 10 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 22 A B a b - 918 A B a b + 2178 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 8352 A B a b + 9504 A B a b + 89376 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 96096 A B a b + 19656 A B a b - 216216 A B a b and under the above hypothesis the sum total is, 0 9 10 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a - 30 A B a b - 1854 A B a b + 7650 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 83232 A B a b - 151776 A B a b - 399840 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 148512 A B a b - 556920 A B a b + 1225224 A B a b and under the above hypothesis the sum total is, 0 10 9 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 10 A B a b - 54 A B a b + 450 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 3168 A B a b + 2592 A B a b - 23520 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 4704 A B a b - 52920 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 10 9 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 18 A B a b - 558 A B a b - 702 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 3168 A B a b - 14688 A B a b + 32928 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 26208 A B a b + 124488 A B a b + 72072 A B a b and under the above hypothesis the sum total is, 0 10 9 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 26 A B a b - 1350 A B a b - 4446 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 34848 A B a b + 33696 A B a b + 32928 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 218400 A B a b - 452088 A B a b - 216216 A B a b and under the above hypothesis the sum total is, 0 10 9 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 34 A B a b - 2430 A B a b - 11934 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 161568 A B a b + 396576 A B a b - 1679328 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 2227680 A B a b + 3007368 A B a b + 1225224 A B a b and under the above hypothesis the sum total is, 0 11 8 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 42 A B a b - 150 A B a b + 322 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 608 A B a b - 12768 A B a b + 5152 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 72800 A B a b - 15288 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 11 8 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 66 A B a b - 510 A B a b - 5566 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 928 A B a b - 20064 A B a b - 29792 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 160160 A B a b - 15288 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 11 8 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 90 A B a b - 1030 A B a b - 19550 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 9248 A B a b + 320416 A B a b + 133280 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 247520 A B a b + 433160 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 12 7 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 10 A B a b - 54 A B a b + 450 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 3168 A B a b + 2592 A B a b - 23520 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 4704 A B a b - 52920 A B a b - 38808 A B a b and under the above hypothesis the sum total is, 0 12 7 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 90 A B a b + 186 A B a b - 1950 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 3872 A B a b - 14688 A B a b - 54880 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 8736 A B a b - 207480 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 12 7 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 130 A B a b + 450 A B a b - 12350 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 42592 A B a b + 33696 A B a b - 54880 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 72800 A B a b + 753480 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 12 7 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 170 A B a b + 810 A B a b - 33150 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 197472 A B a b + 396576 A B a b + 2798880 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 742560 A B a b - 5012280 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 13 6 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 42 A B a b - 150 A B a b + 322 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 608 A B a b - 12768 A B a b + 5152 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 72800 A B a b - 15288 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 13 6 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 154 A B a b + 1530 A B a b - 1694 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 17632 A B a b + 22176 A B a b - 97888 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 297440 A B a b + 12168 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 13 6 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 210 A B a b + 3090 A B a b - 5950 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 175712 A B a b - 354144 A B a b + 437920 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 459680 A B a b - 344760 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 14 5 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 18 A B a b - 558 A B a b - 702 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 3168 A B a b - 14688 A B a b + 32928 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 26208 A B a b + 124488 A B a b + 72072 A B a b and under the above hypothesis the sum total is, 0 14 5 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 90 A B a b + 186 A B a b - 1950 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 3872 A B a b - 14688 A B a b - 54880 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 8736 A B a b - 207480 A B a b - 88088 A B a b and under the above hypothesis the sum total is, 0 14 5 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 234 A B a b + 4650 A B a b + 19266 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 42592 A B a b - 190944 A B a b + 76832 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 405600 A B a b - 1772472 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 14 5 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 306 A B a b + 8370 A B a b + 51714 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 197472 A B a b - 2247264 A B a b - 3918432 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 4137120 A B a b + 11790792 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 15 4 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 66 A B a b - 510 A B a b - 5566 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 928 A B a b - 20064 A B a b - 29792 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 160160 A B a b - 15288 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 15 4 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 154 A B a b + 1530 A B a b - 1694 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 17632 A B a b + 22176 A B a b - 97888 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 297440 A B a b + 12168 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 15 4 17 2 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 330 A B a b + 10506 A B a b + 102850 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 268192 A B a b - 556512 A B a b - 2532320 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 1011296 A B a b - 344760 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 16 3 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 26 A B a b - 1350 A B a b - 4446 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 34848 A B a b + 33696 A B a b + 32928 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 218400 A B a b - 452088 A B a b - 216216 A B a b and under the above hypothesis the sum total is, 0 16 3 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 130 A B a b + 450 A B a b - 12350 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 42592 A B a b + 33696 A B a b - 54880 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 72800 A B a b + 753480 A B a b + 264264 A B a b and under the above hypothesis the sum total is, 0 16 3 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 234 A B a b + 4650 A B a b + 19266 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 42592 A B a b - 190944 A B a b + 76832 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 405600 A B a b - 1772472 A B a b - 490776 A B a b and under the above hypothesis the sum total is, 0 16 3 18 The important part in the children of, A B a b, are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 442 A B a b + 20250 A B a b + 327522 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 2172192 A B a b + 5155488 A B a b - 3918432 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 34476000 A B a b - 42819192 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 17 2 11 8 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 90 A B a b - 1030 A B a b - 19550 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 9248 A B a b + 320416 A B a b + 133280 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 247520 A B a b + 433160 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 17 2 13 6 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 210 A B a b + 3090 A B a b - 5950 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 175712 A B a b - 354144 A B a b + 437920 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 459680 A B a b - 344760 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 17 2 15 4 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 330 A B a b + 10506 A B a b + 102850 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 268192 A B a b - 556512 A B a b - 2532320 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 1011296 A B a b - 344760 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 18 10 9 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 34 A B a b - 2430 A B a b - 11934 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 161568 A B a b + 396576 A B a b - 1679328 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 2227680 A B a b + 3007368 A B a b + 1225224 A B a b and under the above hypothesis the sum total is, 0 18 12 7 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 170 A B a b + 810 A B a b - 33150 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 197472 A B a b + 396576 A B a b + 2798880 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 742560 A B a b - 5012280 A B a b - 1497496 A B a b and under the above hypothesis the sum total is, 0 18 14 5 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 306 A B a b + 8370 A B a b + 51714 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 - 197472 A B a b - 2247264 A B a b - 3918432 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 + 4137120 A B a b + 11790792 A B a b + 2781064 A B a b and under the above hypothesis the sum total is, 0 18 16 3 The important part in the children of, A B a b , are 19 19 18 18 17 2 17 2 16 3 16 3 2 A a + 442 A B a b + 20250 A B a b + 327522 A B a b 15 4 15 4 14 5 14 5 13 6 13 6 + 2172192 A B a b + 5155488 A B a b - 3918432 A B a b 12 7 12 7 11 8 11 8 10 9 10 9 - 34476000 A B a b - 42819192 A B a b - 8343192 A B a b and under the above hypothesis the sum total is, 0 (20 - r) r We will assume the hypothesis that the monomial , (a A) (b B) , 1 is proportional to, --------------- binomial(20, r) The scheme that yields the generating functions for 1 / | (20 - r) | (P[k](exp(2 Pi t)) P[k](exp(-2 Pi t))) | / 0 r (P[k](-exp(2 Pi t)) P[k](-exp(-2 Pi t))) dt has the following mediocre monomials, who have at least one important monomi\ al as a child 2 18 20 4 16 20 6 14 20 8 12 20 10 10 20 12 8 20 {A B a , A B a , A B a , A B a , A B a , A B a , 14 6 20 16 4 20 18 2 20 20 10 10 20 12 8 20 14 6 A B a , A B a , A B a , A a b , A a b , A a b , 20 16 4 20 18 2 20 12 8 20 14 6 20 16 4 20 18 2 A a b , A a b , B a b , B a b , B a b , B a b , 19 11 9 19 13 7 19 15 5 19 17 3 19 19 A B a b , A B a b , A B a b , A B a b , A B a b, 2 18 12 8 2 18 14 6 2 18 16 4 2 18 18 2 3 17 11 9 A B a b , A B a b , A B a b , A B a b , A B a b , 3 17 13 7 3 17 15 5 3 17 17 3 3 17 19 4 16 12 8 A B a b , A B a b , A B a b , A B a b, A B a b , 4 16 14 6 4 16 16 4 4 16 18 2 5 15 11 9 5 15 13 7 A B a b , A B a b , A B a b , A B a b , A B a b , 5 15 15 5 5 15 17 3 5 15 19 6 14 12 8 6 14 14 6 A B a b , A B a b , A B a b, A B a b , A B a b , 6 14 16 4 6 14 18 2 7 13 11 9 7 13 13 7 7 13 15 5 A B a b , A B a b , A B a b , A B a b , A B a b , 7 13 17 3 7 13 19 8 12 12 8 8 12 14 6 8 12 16 4 A B a b , A B a b, A B a b , A B a b , A B a b , 8 12 18 2 9 11 11 9 9 11 13 7 9 11 15 5 9 11 17 3 A B a b , A B a b , A B a b , A B a b , A B a b , 9 11 19 10 10 12 8 10 10 14 6 10 10 16 4 A B a b, A B a b , A B a b , A B a b , 10 10 18 2 11 9 13 7 11 9 15 5 11 9 17 3 11 9 19 A B a b , A B a b , A B a b , A B a b , A B a b, 12 8 10 10 12 8 14 6 12 8 16 4 12 8 18 2 13 7 11 9 A B a b , A B a b , A B a b , A B a b , A B a b , 13 7 15 5 13 7 17 3 13 7 19 14 6 10 10 14 6 12 8 A B a b , A B a b , A B a b, A B a b , A B a b , 14 6 16 4 14 6 18 2 15 5 11 9 15 5 13 7 15 5 17 3 A B a b , A B a b , A B a b , A B a b , A B a b , 15 5 19 16 4 10 10 16 4 12 8 16 4 14 6 16 4 18 2 A B a b, A B a b , A B a b , A B a b , A B a b , 17 3 11 9 17 3 13 7 17 3 15 5 17 3 19 18 2 10 10 A B a b , A B a b , A B a b , A B a b, A B a b , 18 2 12 8 18 2 14 6 18 2 16 4 19 11 9 19 13 7 A B a b , A B a b , A B a b , A B a b , A B a b , 19 15 5 19 17 3 A B a b , A B a b } 2 18 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 640 A B a b + 44840 A B a b - 1203840 A B a b 16 4 16 4 15 5 15 5 + 15319890 A B a b - 101210112 A B a b 14 6 14 6 13 7 13 7 + 347909760 A B a b - 506050560 A B a b 12 8 12 8 11 9 11 9 - 334072440 A B a b + 2375626240 A B a b 10 10 10 10 - 1796567344 A B a b and under the above hypothesis the sum total is, 0 4 16 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 480 A B a b + 23560 A B a b - 392160 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 2296530 A B a b + 496128 A B a b - 51473280 A B a b 13 7 13 7 12 8 12 8 + 171164160 A B a b - 124458360 A B a b 11 9 11 9 10 10 10 10 - 314421120 A B a b + 317041296 A B a b and under the above hypothesis the sum total is, 0 6 14 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 320 A B a b + 8360 A B a b - 18240 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 804270 A B a b + 4961280 A B a b + 620160 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 54574080 A B a b + 85155720 A B a b + 69871360 A B a b 10 10 10 10 - 105680432 A B a b and under the above hypothesis the sum total is, 0 8 12 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 160 A B a b - 760 A B a b + 63840 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 184110 A B a b - 2480640 A B a b + 8062080 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 17364480 A B a b - 59961720 A B a b - 18811520 A B a b 10 10 10 10 + 56904848 A B a b and under the above hypothesis the sum total is, 0 10 10 20 The important part in the children of, A B a , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 3800 A B a b + 436050 A B a b - 9302400 A B a b 12 8 12 8 10 10 10 10 + 52907400 A B a b - 46558512 A B a b and under the above hypothesis the sum total is, 0 12 8 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 160 A B a b - 760 A B a b - 63840 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 184110 A B a b + 2480640 A B a b + 8062080 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 17364480 A B a b - 59961720 A B a b + 18811520 A B a b 10 10 10 10 + 56904848 A B a b and under the above hypothesis the sum total is, 0 14 6 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 320 A B a b + 8360 A B a b + 18240 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 804270 A B a b - 4961280 A B a b + 620160 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 54574080 A B a b + 85155720 A B a b - 69871360 A B a b 10 10 10 10 - 105680432 A B a b and under the above hypothesis the sum total is, 0 16 4 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 480 A B a b + 23560 A B a b + 392160 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 2296530 A B a b - 496128 A B a b - 51473280 A B a b 13 7 13 7 12 8 12 8 - 171164160 A B a b - 124458360 A B a b 11 9 11 9 10 10 10 10 + 314421120 A B a b + 317041296 A B a b and under the above hypothesis the sum total is, 0 18 2 20 The important part in the children of, A B a , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 640 A B a b + 44840 A B a b + 1203840 A B a b 16 4 16 4 15 5 15 5 + 15319890 A B a b + 101210112 A B a b 14 6 14 6 13 7 13 7 + 347909760 A B a b + 506050560 A B a b 12 8 12 8 11 9 11 9 - 334072440 A B a b - 2375626240 A B a b 10 10 10 10 - 1796567344 A B a b and under the above hypothesis the sum total is, 0 20 10 10 The important part in the children of, A a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 3800 A B a b + 436050 A B a b - 9302400 A B a b 12 8 12 8 10 10 10 10 + 52907400 A B a b - 46558512 A B a b and under the above hypothesis the sum total is, 0 20 12 8 The important part in the children of, A a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 160 A B a b - 760 A B a b - 63840 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 184110 A B a b + 2480640 A B a b + 8062080 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 17364480 A B a b - 59961720 A B a b + 18811520 A B a b 10 10 10 10 + 56904848 A B a b and under the above hypothesis the sum total is, 0 20 14 6 The important part in the children of, A a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 320 A B a b + 8360 A B a b + 18240 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 804270 A B a b - 4961280 A B a b + 620160 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 54574080 A B a b + 85155720 A B a b - 69871360 A B a b 10 10 10 10 - 105680432 A B a b and under the above hypothesis the sum total is, 0 20 16 4 The important part in the children of, A a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 480 A B a b + 23560 A B a b + 392160 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 2296530 A B a b - 496128 A B a b - 51473280 A B a b 13 7 13 7 12 8 12 8 - 171164160 A B a b - 124458360 A B a b 11 9 11 9 10 10 10 10 + 314421120 A B a b + 317041296 A B a b and under the above hypothesis the sum total is, 0 20 18 2 The important part in the children of, A a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 640 A B a b + 44840 A B a b + 1203840 A B a b 16 4 16 4 15 5 15 5 + 15319890 A B a b + 101210112 A B a b 14 6 14 6 13 7 13 7 + 347909760 A B a b + 506050560 A B a b 12 8 12 8 11 9 11 9 - 334072440 A B a b - 2375626240 A B a b 10 10 10 10 - 1796567344 A B a b and under the above hypothesis the sum total is, 0 20 12 8 The important part in the children of, B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 160 A B a b - 760 A B a b + 63840 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 184110 A B a b - 2480640 A B a b + 8062080 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 17364480 A B a b - 59961720 A B a b - 18811520 A B a b 10 10 10 10 + 56904848 A B a b and under the above hypothesis the sum total is, 0 20 14 6 The important part in the children of, B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 320 A B a b + 8360 A B a b - 18240 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 804270 A B a b + 4961280 A B a b + 620160 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 54574080 A B a b + 85155720 A B a b + 69871360 A B a b 10 10 10 10 - 105680432 A B a b and under the above hypothesis the sum total is, 0 20 16 4 The important part in the children of, B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 480 A B a b + 23560 A B a b - 392160 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 2296530 A B a b + 496128 A B a b - 51473280 A B a b 13 7 13 7 12 8 12 8 + 171164160 A B a b - 124458360 A B a b 11 9 11 9 10 10 10 10 - 314421120 A B a b + 317041296 A B a b and under the above hypothesis the sum total is, 0 20 18 2 The important part in the children of, B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 640 A B a b + 44840 A B a b - 1203840 A B a b 16 4 16 4 15 5 15 5 + 15319890 A B a b - 101210112 A B a b 14 6 14 6 13 7 13 7 + 347909760 A B a b - 506050560 A B a b 12 8 12 8 11 9 11 9 - 334072440 A B a b + 2375626240 A B a b 10 10 10 10 - 1796567344 A B a b and under the above hypothesis the sum total is, 0 19 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 72 A B a b - 2432 A B a b + 28728 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 156978 A B a b - 1116288 A B a b - 1488384 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 7814016 A B a b + 2116296 A B a b - 8465184 A B a b and under the above hypothesis the sum total is, 0 19 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 216 A B a b + 2432 A B a b + 35112 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 401166 A B a b + 124032 A B a b + 5457408 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 7814016 A B a b - 9170616 A B a b + 12227488 A B a b and under the above hypothesis the sum total is, 0 19 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 360 A B a b + 12160 A B a b - 111720 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 29070 A B a b + 3844992 A B a b - 12403200 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 1860480 A B a b + 32752200 A B a b - 26201760 A B a b and under the above hypothesis the sum total is, 0 19 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 504 A B a b + 26752 A B a b - 513912 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 4250034 A B a b - 14759808 A B a b + 8434176 A B a b 13 7 13 7 12 8 12 8 + 69581952 A B a b - 155900472 A B a b 11 9 11 9 + 89085984 A B a b and under the above hypothesis the sum total is, 0 19 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 648 A B a b + 46208 A B a b - 1273608 A B a b 16 4 16 4 15 5 15 5 + 16901298 A B a b - 120187008 A B a b 14 6 14 6 13 7 13 7 + 480748032 A B a b - 1081683072 A B a b 12 8 12 8 11 9 11 9 + 1269475272 A B a b - 564211232 A B a b and under the above hypothesis the sum total is, 0 2 18 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 128 A B a b - 472 A B a b + 29568 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 60078 A B a b - 522240 A B a b + 933504 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 731136 A B a b + 631176 A B a b + 792064 A B a b 10 10 10 10 - 2994992 A B a b and under the above hypothesis the sum total is, 0 2 18 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 256 A B a b + 5192 A B a b - 8448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 262446 A B a b + 1044480 A B a b + 71808 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 2297856 A B a b - 896376 A B a b - 2941952 A B a b 10 10 10 10 + 5562128 A B a b and under the above hypothesis the sum total is, 0 2 18 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 384 A B a b + 14632 A B a b - 181632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 749394 A B a b + 104448 A B a b - 5960064 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 7206912 A B a b + 1310088 A B a b + 13238784 A B a b 10 10 10 10 - 16686384 A B a b and under the above hypothesis the sum total is, 0 2 18 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 512 A B a b + 27848 A B a b - 557568 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 4999122 A B a b - 21307392 A B a b + 40284288 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 21307392 A B a b + 3516552 A B a b - 100026368 A B a b 10 10 10 10 + 94556176 A B a b and under the above hypothesis the sum total is, 0 3 17 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 56 A B a b - 1408 A B a b + 11592 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 39474 A B a b - 137088 A B a b - 26112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 502656 A B a b - 259896 A B a b + 1336608 A B a b and under the above hypothesis the sum total is, 0 3 17 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 168 A B a b + 1408 A B a b + 14168 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 100878 A B a b + 15232 A B a b + 95744 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 502656 A B a b + 1126216 A B a b - 1930656 A B a b and under the above hypothesis the sum total is, 0 3 17 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 280 A B a b + 7040 A B a b - 45080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 7310 A B a b + 472192 A B a b - 217600 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 119680 A B a b - 4022200 A B a b + 4137120 A B a b and under the above hypothesis the sum total is, 0 3 17 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 392 A B a b + 15488 A B a b - 207368 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 1068722 A B a b - 1812608 A B a b + 147968 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 4476032 A B a b + 19145672 A B a b - 14066208 A B a b and under the above hypothesis the sum total is, 0 3 17 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 504 A B a b + 26752 A B a b - 513912 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 4250034 A B a b - 14759808 A B a b + 8434176 A B a b 13 7 13 7 12 8 12 8 + 69581952 A B a b - 155900472 A B a b 11 9 11 9 + 89085984 A B a b and under the above hypothesis the sum total is, 0 4 16 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 96 A B a b - 248 A B a b + 9632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 9006 A B a b + 2560 A B a b - 138112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 247296 A B a b + 235144 A B a b - 104832 A B a b 10 10 10 10 + 528528 A B a b and under the above hypothesis the sum total is, 0 4 16 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 192 A B a b + 2728 A B a b - 2752 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 39342 A B a b - 5120 A B a b - 10624 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 777216 A B a b - 333944 A B a b + 389376 A B a b 10 10 10 10 - 981552 A B a b and under the above hypothesis the sum total is, 0 4 16 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 288 A B a b + 7688 A B a b - 59168 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 112338 A B a b - 512 A B a b + 881792 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 2437632 A B a b + 488072 A B a b - 1752192 A B a b 10 10 10 10 + 2944656 A B a b and under the above hypothesis the sum total is, 0 4 16 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 384 A B a b + 14632 A B a b - 181632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 749394 A B a b + 104448 A B a b - 5960064 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 7206912 A B a b + 1310088 A B a b + 13238784 A B a b 10 10 10 10 - 16686384 A B a b and under the above hypothesis the sum total is, 0 5 15 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 40 A B a b - 640 A B a b + 2520 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 270 A B a b + 35712 A B a b + 38400 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 13440 A B a b + 54600 A B a b - 393120 A B a b and under the above hypothesis the sum total is, 0 5 15 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 120 A B a b + 640 A B a b + 3080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 690 A B a b - 3968 A B a b - 140800 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 13440 A B a b - 236600 A B a b + 567840 A B a b and under the above hypothesis the sum total is, 0 5 15 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 200 A B a b + 3200 A B a b - 9800 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 50 A B a b - 123008 A B a b + 320000 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 3200 A B a b + 845000 A B a b - 1216800 A B a b and under the above hypothesis the sum total is, 0 5 15 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 280 A B a b + 7040 A B a b - 45080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 7310 A B a b + 472192 A B a b - 217600 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 119680 A B a b - 4022200 A B a b + 4137120 A B a b and under the above hypothesis the sum total is, 0 5 15 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 360 A B a b + 12160 A B a b - 111720 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 29070 A B a b + 3844992 A B a b - 12403200 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 1860480 A B a b + 32752200 A B a b - 26201760 A B a b and under the above hypothesis the sum total is, 0 6 14 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 64 A B a b - 88 A B a b + 448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 3154 A B a b + 25600 A B a b + 1664 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 78848 A B a b - 160888 A B a b + 23296 A B a b 10 10 10 10 - 176176 A B a b and under the above hypothesis the sum total is, 0 6 14 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 128 A B a b + 968 A B a b - 128 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 13778 A B a b - 51200 A B a b + 128 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 247808 A B a b + 228488 A B a b - 86528 A B a b 10 10 10 10 + 327184 A B a b and under the above hypothesis the sum total is, 0 6 14 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 192 A B a b + 2728 A B a b - 2752 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 39342 A B a b - 5120 A B a b - 10624 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 777216 A B a b - 333944 A B a b + 389376 A B a b 10 10 10 10 - 981552 A B a b and under the above hypothesis the sum total is, 0 6 14 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 256 A B a b + 5192 A B a b - 8448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 262446 A B a b + 1044480 A B a b + 71808 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 2297856 A B a b - 896376 A B a b - 2941952 A B a b 10 10 10 10 + 5562128 A B a b and under the above hypothesis the sum total is, 0 7 13 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 24 A B a b - 128 A B a b - 792 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 3726 A B a b + 1152 A B a b - 16896 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 56448 A B a b - 15288 A B a b + 183456 A B a b and under the above hypothesis the sum total is, 0 7 13 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 72 A B a b + 128 A B a b - 968 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 9522 A B a b - 128 A B a b + 61952 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 56448 A B a b + 66248 A B a b - 264992 A B a b and under the above hypothesis the sum total is, 0 7 13 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 120 A B a b + 640 A B a b + 3080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 690 A B a b - 3968 A B a b - 140800 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 13440 A B a b - 236600 A B a b + 567840 A B a b and under the above hypothesis the sum total is, 0 7 13 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 168 A B a b + 1408 A B a b + 14168 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 100878 A B a b + 15232 A B a b + 95744 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 502656 A B a b + 1126216 A B a b - 1930656 A B a b and under the above hypothesis the sum total is, 0 7 13 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 216 A B a b + 2432 A B a b + 35112 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 401166 A B a b + 124032 A B a b + 5457408 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 7814016 A B a b - 9170616 A B a b + 12227488 A B a b and under the above hypothesis the sum total is, 0 8 12 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 32 A B a b + 8 A B a b - 1568 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 722 A B a b - 12800 A B a b + 21632 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 25088 A B a b + 113288 A B a b - 6272 A B a b 10 10 10 10 + 94864 A B a b and under the above hypothesis the sum total is, 0 8 12 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 64 A B a b - 88 A B a b + 448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 3154 A B a b + 25600 A B a b + 1664 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 78848 A B a b - 160888 A B a b + 23296 A B a b 10 10 10 10 - 176176 A B a b and under the above hypothesis the sum total is, 0 8 12 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 96 A B a b - 248 A B a b + 9632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 9006 A B a b + 2560 A B a b - 138112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 247296 A B a b + 235144 A B a b - 104832 A B a b 10 10 10 10 + 528528 A B a b and under the above hypothesis the sum total is, 0 8 12 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 128 A B a b - 472 A B a b + 29568 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 60078 A B a b - 522240 A B a b + 933504 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 731136 A B a b + 631176 A B a b + 792064 A B a b 10 10 10 10 - 2994992 A B a b and under the above hypothesis the sum total is, 0 9 11 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 8 A B a b + 128 A B a b - 648 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 1458 A B a b - 10368 A B a b + 4608 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 56448 A B a b + 3528 A B a b - 127008 A B a b and under the above hypothesis the sum total is, 0 9 11 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 24 A B a b - 128 A B a b - 792 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 3726 A B a b + 1152 A B a b - 16896 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 56448 A B a b - 15288 A B a b + 183456 A B a b and under the above hypothesis the sum total is, 0 9 11 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 40 A B a b - 640 A B a b + 2520 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 270 A B a b + 35712 A B a b + 38400 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 13440 A B a b + 54600 A B a b - 393120 A B a b and under the above hypothesis the sum total is, 0 9 11 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 56 A B a b - 1408 A B a b + 11592 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 39474 A B a b - 137088 A B a b - 26112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 502656 A B a b - 259896 A B a b + 1336608 A B a b and under the above hypothesis the sum total is, 0 9 11 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a - 72 A B a b - 2432 A B a b + 28728 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 156978 A B a b - 1116288 A B a b - 1488384 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 7814016 A B a b + 2116296 A B a b - 8465184 A B a b and under the above hypothesis the sum total is, 0 10 10 12 8 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a + 40 A B a b - 1710 A B a b - 24960 A B a b 12 8 12 8 10 10 10 10 - 99960 A B a b - 77616 A B a b and under the above hypothesis the sum total is, 0 10 10 14 6 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 440 A B a b - 7470 A B a b - 1920 A B a b 12 8 12 8 10 10 10 10 + 141960 A B a b + 144144 A B a b and under the above hypothesis the sum total is, 0 10 10 16 4 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 1240 A B a b + 21330 A B a b + 159360 A B a b 12 8 12 8 10 10 10 10 - 207480 A B a b - 432432 A B a b and under the above hypothesis the sum total is, 0 10 10 18 2 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 2360 A B a b + 142290 A B a b - 1077120 A B a b 12 8 12 8 10 10 10 10 - 556920 A B a b + 2450448 A B a b and under the above hypothesis the sum total is, 0 11 9 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 24 A B a b - 128 A B a b + 792 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 3726 A B a b - 1152 A B a b - 16896 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 56448 A B a b - 15288 A B a b - 183456 A B a b and under the above hypothesis the sum total is, 0 11 9 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 40 A B a b - 640 A B a b - 2520 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 270 A B a b - 35712 A B a b + 38400 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 13440 A B a b + 54600 A B a b + 393120 A B a b and under the above hypothesis the sum total is, 0 11 9 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 56 A B a b - 1408 A B a b - 11592 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 39474 A B a b + 137088 A B a b - 26112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 502656 A B a b - 259896 A B a b - 1336608 A B a b and under the above hypothesis the sum total is, 0 11 9 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 72 A B a b - 2432 A B a b - 28728 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 156978 A B a b + 1116288 A B a b - 1488384 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 7814016 A B a b + 2116296 A B a b + 8465184 A B a b and under the above hypothesis the sum total is, 0 12 8 10 10 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a + 40 A B a b - 1710 A B a b - 24960 A B a b 12 8 12 8 10 10 10 10 - 99960 A B a b - 77616 A B a b and under the above hypothesis the sum total is, 0 12 8 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 64 A B a b - 88 A B a b - 448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 3154 A B a b - 25600 A B a b + 1664 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 78848 A B a b - 160888 A B a b - 23296 A B a b 10 10 10 10 - 176176 A B a b and under the above hypothesis the sum total is, 0 12 8 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 96 A B a b - 248 A B a b - 9632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 9006 A B a b - 2560 A B a b - 138112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 247296 A B a b + 235144 A B a b + 104832 A B a b 10 10 10 10 + 528528 A B a b and under the above hypothesis the sum total is, 0 12 8 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 128 A B a b - 472 A B a b - 29568 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 60078 A B a b + 522240 A B a b + 933504 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 731136 A B a b + 631176 A B a b - 792064 A B a b 10 10 10 10 - 2994992 A B a b and under the above hypothesis the sum total is, 0 13 7 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 24 A B a b - 128 A B a b + 792 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 3726 A B a b - 1152 A B a b - 16896 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 56448 A B a b - 15288 A B a b - 183456 A B a b and under the above hypothesis the sum total is, 0 13 7 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 120 A B a b + 640 A B a b - 3080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 690 A B a b + 3968 A B a b - 140800 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 13440 A B a b - 236600 A B a b - 567840 A B a b and under the above hypothesis the sum total is, 0 13 7 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 168 A B a b + 1408 A B a b - 14168 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 100878 A B a b - 15232 A B a b + 95744 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 502656 A B a b + 1126216 A B a b + 1930656 A B a b and under the above hypothesis the sum total is, 0 13 7 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 216 A B a b + 2432 A B a b - 35112 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 401166 A B a b - 124032 A B a b + 5457408 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 7814016 A B a b - 9170616 A B a b - 12227488 A B a b and under the above hypothesis the sum total is, 0 14 6 10 10 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 440 A B a b - 7470 A B a b - 1920 A B a b 12 8 12 8 10 10 10 10 + 141960 A B a b + 144144 A B a b and under the above hypothesis the sum total is, 0 14 6 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 64 A B a b - 88 A B a b - 448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 3154 A B a b - 25600 A B a b + 1664 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 78848 A B a b - 160888 A B a b - 23296 A B a b 10 10 10 10 - 176176 A B a b and under the above hypothesis the sum total is, 0 14 6 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 192 A B a b + 2728 A B a b + 2752 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 39342 A B a b + 5120 A B a b - 10624 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 777216 A B a b - 333944 A B a b - 389376 A B a b 10 10 10 10 - 981552 A B a b and under the above hypothesis the sum total is, 0 14 6 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 256 A B a b + 5192 A B a b + 8448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 262446 A B a b - 1044480 A B a b + 71808 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 2297856 A B a b - 896376 A B a b + 2941952 A B a b 10 10 10 10 + 5562128 A B a b and under the above hypothesis the sum total is, 0 15 5 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 40 A B a b - 640 A B a b - 2520 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 270 A B a b - 35712 A B a b + 38400 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 13440 A B a b + 54600 A B a b + 393120 A B a b and under the above hypothesis the sum total is, 0 15 5 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 120 A B a b + 640 A B a b - 3080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 690 A B a b + 3968 A B a b - 140800 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 13440 A B a b - 236600 A B a b - 567840 A B a b and under the above hypothesis the sum total is, 0 15 5 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 280 A B a b + 7040 A B a b + 45080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 7310 A B a b - 472192 A B a b - 217600 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 119680 A B a b - 4022200 A B a b - 4137120 A B a b and under the above hypothesis the sum total is, 0 15 5 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 360 A B a b + 12160 A B a b + 111720 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 29070 A B a b - 3844992 A B a b - 12403200 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 1860480 A B a b + 32752200 A B a b + 26201760 A B a b and under the above hypothesis the sum total is, 0 16 4 10 10 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 1240 A B a b + 21330 A B a b + 159360 A B a b 12 8 12 8 10 10 10 10 - 207480 A B a b - 432432 A B a b and under the above hypothesis the sum total is, 0 16 4 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 96 A B a b - 248 A B a b - 9632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 9006 A B a b - 2560 A B a b - 138112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 247296 A B a b + 235144 A B a b + 104832 A B a b 10 10 10 10 + 528528 A B a b and under the above hypothesis the sum total is, 0 16 4 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 192 A B a b + 2728 A B a b + 2752 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 39342 A B a b + 5120 A B a b - 10624 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 777216 A B a b - 333944 A B a b - 389376 A B a b 10 10 10 10 - 981552 A B a b and under the above hypothesis the sum total is, 0 16 4 18 2 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 384 A B a b + 14632 A B a b + 181632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 749394 A B a b - 104448 A B a b - 5960064 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 7206912 A B a b + 1310088 A B a b - 13238784 A B a b 10 10 10 10 - 16686384 A B a b and under the above hypothesis the sum total is, 0 17 3 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 56 A B a b - 1408 A B a b - 11592 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 39474 A B a b + 137088 A B a b - 26112 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 502656 A B a b - 259896 A B a b - 1336608 A B a b and under the above hypothesis the sum total is, 0 17 3 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 168 A B a b + 1408 A B a b - 14168 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 100878 A B a b - 15232 A B a b + 95744 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 502656 A B a b + 1126216 A B a b + 1930656 A B a b and under the above hypothesis the sum total is, 0 17 3 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 280 A B a b + 7040 A B a b + 45080 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 7310 A B a b - 472192 A B a b - 217600 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 119680 A B a b - 4022200 A B a b - 4137120 A B a b and under the above hypothesis the sum total is, 0 17 3 19 The important part in the children of, A B a b, are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 504 A B a b + 26752 A B a b + 513912 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 4250034 A B a b + 14759808 A B a b + 8434176 A B a b 13 7 13 7 12 8 12 8 - 69581952 A B a b - 155900472 A B a b 11 9 11 9 - 89085984 A B a b and under the above hypothesis the sum total is, 0 18 2 10 10 The important part in the children of, A B a b , are 20 20 18 2 18 2 16 4 16 4 14 6 14 6 2 A a - 2360 A B a b + 142290 A B a b - 1077120 A B a b 12 8 12 8 10 10 10 10 - 556920 A B a b + 2450448 A B a b and under the above hypothesis the sum total is, 0 18 2 12 8 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 128 A B a b - 472 A B a b - 29568 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 60078 A B a b + 522240 A B a b + 933504 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 731136 A B a b + 631176 A B a b - 792064 A B a b 10 10 10 10 - 2994992 A B a b and under the above hypothesis the sum total is, 0 18 2 14 6 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 256 A B a b + 5192 A B a b + 8448 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 262446 A B a b - 1044480 A B a b + 71808 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 2297856 A B a b - 896376 A B a b + 2941952 A B a b 10 10 10 10 + 5562128 A B a b and under the above hypothesis the sum total is, 0 18 2 16 4 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 384 A B a b + 14632 A B a b + 181632 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 749394 A B a b - 104448 A B a b - 5960064 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 7206912 A B a b + 1310088 A B a b - 13238784 A B a b 10 10 10 10 - 16686384 A B a b and under the above hypothesis the sum total is, 0 19 11 9 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 72 A B a b - 2432 A B a b - 28728 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 156978 A B a b + 1116288 A B a b - 1488384 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 7814016 A B a b + 2116296 A B a b + 8465184 A B a b and under the above hypothesis the sum total is, 0 19 13 7 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 216 A B a b + 2432 A B a b - 35112 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 401166 A B a b - 124032 A B a b + 5457408 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 + 7814016 A B a b - 9170616 A B a b - 12227488 A B a b and under the above hypothesis the sum total is, 0 19 15 5 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 360 A B a b + 12160 A B a b + 111720 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 - 29070 A B a b - 3844992 A B a b - 12403200 A B a b 13 7 13 7 12 8 12 8 11 9 11 9 - 1860480 A B a b + 32752200 A B a b + 26201760 A B a b and under the above hypothesis the sum total is, 0 19 17 3 The important part in the children of, A B a b , are 20 20 19 19 18 2 18 2 17 3 17 3 2 A a + 504 A B a b + 26752 A B a b + 513912 A B a b 16 4 16 4 15 5 15 5 14 6 14 6 + 4250034 A B a b + 14759808 A B a b + 8434176 A B a b 13 7 13 7 12 8 12 8 - 69581952 A B a b - 155900472 A B a b 11 9 11 9 - 89085984 A B a b and under the above hypothesis the sum total is, 0 --------------------------------- This took, 286.309, seconds.