k=2 m=1: identity True
k=2 m=2: identity True
k=2 m=3: identity True
   k=2: roots of m=1 bracket in [0, q_k]: 0, value at q_k 0.2677669530
k=3 m=1: identity True
k=3 m=2: identity True
k=3 m=3: identity True
   k=3: roots of m=1 bracket in [0, q_k]: 0, value at q_k 0.4769840443
k=4 m=1: identity True
k=4 m=2: identity True
k=4 m=3: identity True
   k=4: roots of m=1 bracket in [0, q_k]: 0, value at q_k 0.5956714755
all identities: True
