Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on these analytical relations. It is semi-analytically and numerically found that the low-lying Dirac eigenmodes have little contribution to the Polyakov loop fluctuations, which are sensitive probe for the quark deconfinement. Our results suggest no direct

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... to-one corresponding between quark confinement and chiral symmetry breaking in QCD. This proceeding of ICNFP 2015 has the same contents as that of the conference "Lattice 2015" because of very large overlap between our presentations on these two conferences. The proceeding of the lattice-conference will be published as