Complex conjugate transpose

ITensor C++ Questions
1

I’m trying to compute the complex conjugate transpose of a vectorized MPO where the 2 physical legs are fused. For example, I have an MPS rho0

rho0 = 

ITensor ord=2: (dim=4|id=79|"n=1,Site,Boson") (dim=1|id=297|"l=1,Link") 
{norm=0.56 (Dense Cplx)}
(2,1) 0.000000+0.250000i
(3,1) 0.000000+0.500000i

ITensor ord=3: (dim=1|id=297|"l=1,Link") (dim=4|id=828|"n=2,Site,Boson") (dim=1|id=749|"l=2,Link") 
{norm=0.56 (Dense Cplx)}
(1,2,1) 0.000000+0.250000i
(1,3,1) 0.000000+0.500000i

ITensor ord=2: (dim=1|id=749|"l=2,Link") (dim=4|id=908|"n=3,Site,Boson") 
{norm=0.56 (Dense Cplx)}
(1,2) 0.000000+0.250000i
(1,3) 0.000000+0.500000i

I think its complex conjugate transpose should be

rho0DAG = 

ITensor ord=2: (dim=4|id=79|"n=1,Site,Boson") (dim=1|id=297|"l=1,Link")
{norm=0.56 (Dense Cplx)}
(2,1) 0.000000-0.500000i
(3,1) 0.000000-0.250000i

ITensor ord=3: (dim=1|id=297|"l=1,Link")(dim=4|id=828|"n=2,Site,Boson") (dim=1|id=749|"l=2,Link") 
{norm=0.56 (Dense Cplx)}
(1,2,1) 0.000000-0.500000i
(1,3,1) 0.000000-0.250000i

ITensor ord=2: (dim=1|id=749|"l=2,Link") (dim=4|id=908|"n=3,Site,Boson")
{norm=0.56 (Dense Cplx)}
(1,2) 0.000000-0.500000i
(1,3) 0.000000-0.250000i

However, I only know how to take the complex conjugate with dag but not tranpose the legs. My questions are

  1. Is rho0DAG the complex conjugate tranpose of rho0?
  2. How to create rho0DAG with ITensor in C++?