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Let X be the quotient space obtained from an 8-sided polygonal region P by pasting its edges together according to the l...

Let X be the quotient space obtained from an 8-sided polygonal region P by pasting its edges together according to the labeling scheme acadbcb−1d. Note that all vertices of P are mapped to the same point of the quotient space X by the pasting map.
(a) Calculate the integral homology groups of X.

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