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<math> + 2 C _1 C _5 \cos ( d _5 - d _1 ) + 2 C _2 C _3 \cos ( d _3 - d _2 ) + 2 C _2 C _4 \cos ( d _4 - d _2 ) + 2 C _2 C _5 \cos ( d _5 - d _2 ) + 2 C _3 C _4 \cos ( d _4 - d _3 )</math>
 
<math> + 2 C _1 C _5 \cos ( d _5 - d _1 ) + 2 C _2 C _3 \cos ( d _3 - d _2 ) + 2 C _2 C _4 \cos ( d _4 - d _2 ) + 2 C _2 C _5 \cos ( d _5 - d _2 ) + 2 C _3 C _4 \cos ( d _4 - d _3 )</math>
 
<math> + 2 C _3 C _5 \cos ( d _5 - d _3 )+ 2 C _4 C _5 \cos ( d _5 - d _4 ) </math>
 
<math> + 2 C _3 C _5 \cos ( d _5 - d _3 )+ 2 C _4 C _5 \cos ( d _5 - d _4 ) </math>
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This is an unnerving equation. However, we only have eleven terms that need to be calculated. We can begin with the sum of C-terms and compare it to the idealized version.
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<math> C^2 _1 + C^2 _2  + C^2 _3 + C^2 _4 + C^2 _5 = 0.043453</math>
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<math> C^2 _1 + C^2 _2  = 0.043441</math>
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Because the difference between these terms is three orders of magnitude less than the measurement, we can count it as error and do not need to compensate for it.
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Next, we need to calculate all of the inner products.
    
== Color of the Laser ==
 
== Color of the Laser ==
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