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Inhaltsverzeichnis

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[Bearbeiten] \textstyle

Für \textstyle{ {2 \choose 3}} gilt {2 \choose 3}. :-)

Ebenso \textstyle{ \begin{pmatrix} x & y \\ z & v \end{pmatrix} } \neq \begin{pmatrix} x & y \\ z & v \end{pmatrix}

[Bearbeiten] TeX-Tests

[0] :

\xi_0 := \frac{1}{2}

[1] :

\xi_1 := \frac{2\cdot {1\choose 1}\cdot {2\choose 1}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}{\sqrt{ 1 + \frac{2}{1}}}

[2] :

\xi_2 := \frac{2\cdot {1\choose 1}\cdot {2\choose 1}\cdot \frac{1+\sqrt{ 2 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 2 + \frac{2}{1}}}}}{\sqrt{ 1 + \frac{\sqrt{ 2 + \frac{2}{1}}}{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}

[3] :

\xi_3 := \frac{2\cdot {1\choose 1}\cdot {2\choose 1}\cdot \frac{1+\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{2}{1}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 3 + \frac{2}{1}}}} \cdot \sqrt{ 2 + \frac{\sqrt{ 3 + \frac{2}{1}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}{\sqrt{ 1 + \frac{\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{2}{1}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 3 + \frac{2}{1}}}}}}}

[4] :

\xi_4 := \frac{2\cdot {1\choose 1}\cdot {2\choose 1}\cdot \frac{1+\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 4 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 4 + \frac{2}{1}}}} \cdot \sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 4 + \frac{2}{1}}}}}}}}}{\sqrt{ 1 + \frac{\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 4 + \frac{2}{1}}}}}}}{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 4 + \frac{2}{1}}}} \cdot \sqrt{ 3 + \frac{\sqrt{ 4 + \frac{2}{1}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}

[5] :

\xi_5 := \frac{2\cdot {1\choose 1}\cdot {2\choose 1}\cdot \frac{1+\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{ \sqrt{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}} \cdot \sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}}}{\sqrt{ 1 + \frac{\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{2}{1}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 5 + \frac{2}{1}}}}}}}}}}}

[6] :

\xi_6 := \frac{2\cdot {1\choose 1}\cdot {2\choose 1}\cdot \frac{1+\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}}}}}{ \sqrt{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}} \cdot \sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}} \cdot \sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}}}}}}}{\sqrt{ 1 + \frac{\sqrt{ 2 + \frac{\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}}}}}{2\cdot {1\choose 2}\cdot {5\choose 2}\cdot {17\choose 2}\cdot \frac{1+\sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}{ \sqrt{2\cdot {1\choose 3}\cdot {10\choose 3}\cdot {37\choose 3}\cdot {82\choose 3}\cdot \frac{1+\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{ \sqrt{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}} \cdot \sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}} \cdot \sqrt{ 3 + \frac{\sqrt{ 4 + \frac{\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}}}}}{2\cdot {1\choose 4}\cdot {17\choose 4}\cdot {65\choose 4}\cdot {145\choose 4}\cdot {257\choose 4}\cdot \frac{1+\sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}{ \sqrt{2\cdot {1\choose 5}\cdot {26\choose 5}\cdot {101\choose 5}\cdot {226\choose 5}\cdot {401\choose 5}\cdot {626\choose 5}\cdot \frac{1+\sqrt{ 6 + \frac{2}{1}}}{ \sqrt{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}} \cdot \sqrt{ 6 + \frac{2}{1}}}} \cdot \sqrt{ 5 + \frac{\sqrt{ 6 + \frac{2}{1}}}{2\cdot {1\choose 6}\cdot {37\choose 6}\cdot {145\choose 6}\cdot {325\choose 6}\cdot {577\choose 6}\cdot {901\choose 6}\cdot {1297\choose 6}\cdot \frac{1+2}{ \sqrt{1 \cdot 2}}}}}}}}}}}}}


[10]: \xi_{10} = \ ?

[Bearbeiten] Projektionen

A) Hinprojektion:

x = a\cdot \lambda + b \cdot \lambda \cdot \cos(\varphi) \qquad y = c\cdot \varphi + d \cdot \varphi \cdot \cos(\lambda)


B) Rückprojektion:

\lambda = f_\lambda (x,y) \qquad \varphi = f_\varphi (x,y) \,

Daraus soll man nun die Rückprojektion finden:

\lambda = \frac{x}{a+b\cdot \cos(\varphi)} \qquad \varphi = \frac{y}{c+d\cdot \cos(\lambda)}
\lambda = \frac{x}{a+b\cdot \cos \left( \frac{y}{c+d\cdot \cos(\lambda)} \right)} \qquad \varphi = \frac{y}{c+d\cdot \cos \left( \frac{x}{a+b\cdot \cos(\varphi)} \right)}

[Bearbeiten] This

test:‮▀█▀ █▬█ █ ▄▄█▀▀

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