Calculation of hamiltonian constraint and mandelstam identities over extended knot families {ψi/}22, {ψi/}43 and {ψi}64

The actions of the Hamiltonian constraint onto the members of the extended knot families {ψi}22, {ψi}43 and {ψi}64, and the check of their invariance under the Mandelstam identities are given in the extended loop representation of loop quantum gravity.