H is the Hamiltonian. Here we set µ=0. For grand-canonical calculations add -6µ to the main diagonal.

-2*h + U	(-I/12)*(-11*I + Sqrt[3])*t	0	((3*I + 7*Sqrt[3])*t)/(6*Sqrt[2])	0	((3*I - 5*Sqrt[3])*t)/(6*Sqrt[2])	0	0	0	0	0	((1 - I*Sqrt[3])*t)/(3*Sqrt[2])	0	((-3*I + Sqrt[3])*t)/4
(I/12)*(11*I + Sqrt[3])*t	-2*h + U	0	0	-(t/Sqrt[6])	0	-((-3*I + Sqrt[3])*t)/(6*Sqrt[2])	0	0	((3*I + Sqrt[3])*t)/6	(-I/3)*Sqrt[2]*(-I + Sqrt[3])*t	0	-((3*I + Sqrt[3])*t)/12	0
0	0	-2*(h - U)	0	-(Sqrt[2]*t)	0	0	0	0	0	0	0	-2*t	0
((-3*I + 7*Sqrt[3])*t)/(6*Sqrt[2])	0	0	-2*(h - U)	(-I/2)*(-I + Sqrt[3])*t	0	0	0	0	-(Sqrt[2]*t)	((-3*I + Sqrt[3])*t)/3	0	((1 + I*Sqrt[3])*t)/(2*Sqrt[2])	0
0	-(t/Sqrt[6])	-(Sqrt[2]*t)	(I/2)*(I + Sqrt[3])*t	-2*(h - U)	0	0	0	0	0	0	(-2*t)/Sqrt[3]	0	I*Sqrt[3/2]*t
-((3*I + 5*Sqrt[3])*t)/(6*Sqrt[2])	0	0	0	0	-2*(h - U)	(-I/2)*(-I + Sqrt[3])*t	t	0	0	((-3*I + Sqrt[3])*t)/3	0	((I/2)*(3*I + Sqrt[3])*t)/Sqrt[2]	0
0	-((3*I + Sqrt[3])*t)/(6*Sqrt[2])	0	0	0	(I/2)*(I + Sqrt[3])*t	-2*(h - U)	0	(-I/2)*(-I + Sqrt[3])*t	0	0	-((3*I + Sqrt[3])*t)/3	0	((1 + I*Sqrt[3])*t)/(2*Sqrt[2])
0	0	0	0	0	t	0	-2*(h - U)	(t + I*Sqrt[3]*t)/2	0	0	0	0	(I*(I + Sqrt[3])*t)/Sqrt[2]
0	0	0	0	0	0	(I/2)*(I + Sqrt[3])*t	(t - I*Sqrt[3]*t)/2	-2*(h - U)	-(Sqrt[2]*t)	0	0	0	0
0	((-3*I + Sqrt[3])*t)/6	0	-(Sqrt[2]*t)	0	0	0	0	-(Sqrt[2]*t)	-2*h + U	0	-((-3*I + Sqrt[3])*t)/(3*Sqrt[2])	0	(t - I*Sqrt[3]*t)/2
0	(I/3)*Sqrt[2]*(I + Sqrt[3])*t	0	((3*I + Sqrt[3])*t)/3	0	((3*I + Sqrt[3])*t)/3	0	0	0	0	-2*h + U	(-I/6)*(-5*I + Sqrt[3])*t	0	0
((1 + I*Sqrt[3])*t)/(3*Sqrt[2])	0	0	0	(-2*t)/Sqrt[3]	0	-((-3*I + Sqrt[3])*t)/3	0	0	-((3*I + Sqrt[3])*t)/(3*Sqrt[2])	(I/6)*(5*I + Sqrt[3])*t	-2*h + U	-((3*I + Sqrt[3])*t)/(3*Sqrt[2])	0
0	-((-3*I + Sqrt[3])*t)/12	-2*t	((1 - I*Sqrt[3])*t)/(2*Sqrt[2])	0	((-I/2)*(-3*I + Sqrt[3])*t)/Sqrt[2]	0	0	0	0	0	-((-3*I + Sqrt[3])*t)/(3*Sqrt[2])	-2*h + U	(-I/4)*(-3*I + Sqrt[3])*t
((3*I + Sqrt[3])*t)/4	0	0	0	(-I)*Sqrt[3/2]*t	0	((1 - I*Sqrt[3])*t)/(2*Sqrt[2])	((-1 - I*Sqrt[3])*t)/Sqrt[2]	0	(t + I*Sqrt[3]*t)/2	0	0	(I/4)*(3*I + Sqrt[3])*t	-2*h + U