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The size of a hyperbolic Coxeter simplex

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We determine the covolumes of all hyperbolic Coxeter simplex reflection groups. These groups exist up to dimension 9. the volume computations involve several different methods according to the parity of dimension, subgroup relations and arithmeticity properties.

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Johnson, N.W., Kellerhals, R., Ratcliffe, J.G. et al. The size of a hyperbolic Coxeter simplex. Transformation Groups 4, 329–353 (1999). https://doi.org/10.1007/BF01238563

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