#	龐加萊(Poincaré)十二面體空間
#
#	二次二十面體群作用於3維球面所得到的商空間就是著名龐加萊十二面體空間。
#	群的矩陣元素屬於域Q[φ],其中 φ = (1 + √5)/2 ≈ 1.6180339887...
#	是黃金分割率並且是不可約多項式 φ² - φ - 1 的根。

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  0.50000000000000000000  0.80901699437494742410  0.30901699437494742410  0.00000000000000000000
  0.00000000000000000000 -0.30901699437494742410  0.80901699437494742410  0.50000000000000000000
  0.30901699437494742410  0.00000000000000000000 -0.50000000000000000000  0.80901699437494742410

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  0.00000000000000000000 -0.50000000000000000000 -0.30901699437494742410  0.80901699437494742410