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Biduin

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Biduin
Oct 25th, 2018
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  1. {{\[Lambda]1 \[Omega]2^2 - \[Lambda]3 \[Omega]2^2 +
  2. 1/2 E^(-I ArcTan[
  3. 3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2 \[Omega]3 +
  4. 1/2 E^(I ArcTan[
  5. 3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2 \[Omega]3 + (\[Lambda]5 \
  6. \[Omega]3^2)/2 - 1/2 (\[Lambda]5 + \[Lambda]6) \[Omega]3^2 + (
  7. 3 \[Lambda]1 \[Omega]2^2)/(1 + 9 Tan[\[Sigma]1]^2) + (
  8. 3 \[Lambda]3 \[Omega]2^2)/(1 + 9 Tan[\[Sigma]1]^2) + (
  9. 3 \[Lambda]1 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  10. 1 + 9 Tan[\[Sigma]1]^2) + (
  11. 3 \[Lambda]3 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  12. 1 + 9 Tan[\[Sigma]1]^2) - (
  13. 4 (\[Lambda]1 - \[Lambda]2) \[Omega]2^2 (1 + 3 Tan[\[Sigma]1]^2))/(
  14. 1 + 9 Tan[\[Sigma]1]^2) - (\[Lambda]4 \[Omega]2 \[Omega]3 (1 -
  15. 3 Tan[\[Sigma]1]^2))/(
  16. 2 Sqrt[1 + 9 Tan[\[Sigma]1]^2]), -Sqrt[3] E^(-I \[Sigma]1 -
  17. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]2 \[Omega]2^2 Sqrt[(
  18. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  19. Sqrt[3] E^(
  20. I \[Sigma]1 +
  21. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]2 \[Omega]2^2 Sqrt[(
  22. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  23. Sqrt[3] E^(-I \[Sigma]1 -
  24. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]3 \[Omega]2^2 Sqrt[(
  25. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  26. Sqrt[3] E^(
  27. I \[Sigma]1 +
  28. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]3 \[Omega]2^2 Sqrt[(
  29. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  30. 1/2 Sqrt[3] E^(-I \[Sigma]1) \[Lambda]4 \[Omega]2 \[Omega]3 Sqrt[(
  31. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  32. 1/2 Sqrt[3] E^(I \[Sigma]1) \[Lambda]4 \[Omega]2 \[Omega]3 Sqrt[(
  33. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)],
  34. 1/2 Sqrt[3]
  35. E^(-I \[Sigma]1 -
  36. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2^2 Sqrt[(
  37. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  38. 1/2 Sqrt[3] E^(
  39. I \[Sigma]1 +
  40. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2^2 Sqrt[(
  41. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  42. 1/2 Sqrt[3] E^(-I \[Sigma]1) \[Lambda]6 \[Omega]2 \[Omega]3 Sqrt[(
  43. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  44. Sqrt[3] E^(I \[Sigma]1) \[Omega]2 \[Omega]3 Sqrt[(
  45. 1 + Tan[\[Sigma]1]^2)/(
  46. 1 + 9 Tan[\[Sigma]1]^2)] (-((
  47. 4 (\[Lambda]2 + \[Lambda]3) \[Omega]2^2 (1 -
  48. 3 Tan[\[Sigma]1]^2))/(\[Omega]3^2 (1 +
  49. 9 Tan[\[Sigma]1]^2))) - (\[Lambda]4 \[Omega]2 (5 -
  50. 3 Tan[\[Sigma]1]^2))/(
  51. 2 \[Omega]3 Sqrt[1 + 9 Tan[\[Sigma]1]^2]))}, {Sqrt[3]
  52. E^(-I \[Sigma]1 -
  53. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]2 \[Omega]2^2 Sqrt[(
  54. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] -
  55. Sqrt[3] E^(
  56. I \[Sigma]1 +
  57. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]2 \[Omega]2^2 Sqrt[(
  58. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  59. Sqrt[3] E^(-I \[Sigma]1 -
  60. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]3 \[Omega]2^2 Sqrt[(
  61. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  62. Sqrt[3] E^(
  63. I \[Sigma]1 +
  64. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]3 \[Omega]2^2 Sqrt[(
  65. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  66. 1/2 Sqrt[3] E^(-I \[Sigma]1) \[Lambda]4 \[Omega]2 \[Omega]3 Sqrt[(
  67. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  68. 1/2 Sqrt[3] E^(I \[Sigma]1) \[Lambda]4 \[Omega]2 \[Omega]3 Sqrt[(
  69. 1 + Tan[\[Sigma]1]^2)/(
  70. 1 + 9 Tan[\[Sigma]1]^2)], \[Lambda]1 \[Omega]2^2 + \[Lambda]3 \
  71. \[Omega]2^2 -
  72. 1/2 E^(-I ArcTan[
  73. 3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2 \[Omega]3 -
  74. 1/2 E^(I ArcTan[
  75. 3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2 \[Omega]3 + (\[Lambda]5 \
  76. \[Omega]3^2)/2 - 1/2 (\[Lambda]5 + \[Lambda]6) \[Omega]3^2 + (
  77. 3 \[Lambda]1 \[Omega]2^2)/(1 + 9 Tan[\[Sigma]1]^2) - (
  78. 3 \[Lambda]3 \[Omega]2^2)/(1 + 9 Tan[\[Sigma]1]^2) + (
  79. 3 \[Lambda]1 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  80. 1 + 9 Tan[\[Sigma]1]^2) - (
  81. 3 \[Lambda]3 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  82. 1 + 9 Tan[\[Sigma]1]^2) - (
  83. 4 (\[Lambda]1 - \[Lambda]2) \[Omega]2^2 (1 + 3 Tan[\[Sigma]1]^2))/(
  84. 1 + 9 Tan[\[Sigma]1]^2) - (\[Lambda]4 \[Omega]2 \[Omega]3 (1 -
  85. 3 Tan[\[Sigma]1]^2))/(
  86. 2 Sqrt[1 + 9 Tan[\[Sigma]1]^2]), -((\[Lambda]4 \[Omega]2^2)/2) +
  87. 1/2 E^(
  88. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]6 \[Omega]2 \[Omega]3 + (
  89. 3 \[Lambda]4 \[Omega]2^2)/(2 (1 + 9 Tan[\[Sigma]1]^2)) + (
  90. 3 \[Lambda]4 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  91. 2 (1 + 9 Tan[\[Sigma]1]^2)) +
  92. E^(-I ArcTan[
  93. 3 Tan[\[Sigma]1]]) \[Omega]2 \[Omega]3 (-((
  94. 4 (\[Lambda]2 + \[Lambda]3) \[Omega]2^2 (1 -
  95. 3 Tan[\[Sigma]1]^2))/(\[Omega]3^2 (1 +
  96. 9 Tan[\[Sigma]1]^2))) - (\[Lambda]4 \[Omega]2 (5 -
  97. 3 Tan[\[Sigma]1]^2))/(
  98. 2 \[Omega]3 Sqrt[1 + 9 Tan[\[Sigma]1]^2]))}, {1/2 Sqrt[3]
  99. E^(-I \[Sigma]1 -
  100. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2^2 Sqrt[(
  101. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  102. 1/2 Sqrt[3] E^(
  103. I \[Sigma]1 +
  104. I ArcTan[3 Tan[\[Sigma]1]]) \[Lambda]4 \[Omega]2^2 Sqrt[(
  105. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  106. 1/2 Sqrt[3] E^(I \[Sigma]1) \[Lambda]6 \[Omega]2 \[Omega]3 Sqrt[(
  107. 1 + Tan[\[Sigma]1]^2)/(1 + 9 Tan[\[Sigma]1]^2)] +
  108. Sqrt[3] E^(-I \[Sigma]1) \[Omega]2 \[Omega]3 Sqrt[(
  109. 1 + Tan[\[Sigma]1]^2)/(
  110. 1 + 9 Tan[\[Sigma]1]^2)] (-((
  111. 4 (\[Lambda]2 + \[Lambda]3) \[Omega]2^2 (1 -
  112. 3 Tan[\[Sigma]1]^2))/(\[Omega]3^2 (1 +
  113. 9 Tan[\[Sigma]1]^2))) - (\[Lambda]4 \[Omega]2 (5 -
  114. 3 Tan[\[Sigma]1]^2))/(
  115. 2 \[Omega]3 Sqrt[
  116. 1 + 9 Tan[\[Sigma]1]^2])), -((\[Lambda]4 \[Omega]2^2)/2) +
  117. 1/2 E^(-I ArcTan[
  118. 3 Tan[\[Sigma]1]]) \[Lambda]6 \[Omega]2 \[Omega]3 + (
  119. 3 \[Lambda]4 \[Omega]2^2)/(2 (1 + 9 Tan[\[Sigma]1]^2)) + (
  120. 3 \[Lambda]4 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  121. 2 (1 + 9 Tan[\[Sigma]1]^2)) +
  122. E^(I ArcTan[
  123. 3 Tan[\[Sigma]1]]) \[Omega]2 \[Omega]3 (-((
  124. 4 (\[Lambda]2 + \[Lambda]3) \[Omega]2^2 (1 -
  125. 3 Tan[\[Sigma]1]^2))/(\[Omega]3^2 (1 +
  126. 9 Tan[\[Sigma]1]^2))) - (\[Lambda]4 \[Omega]2 (5 -
  127. 3 Tan[\[Sigma]1]^2))/(
  128. 2 \[Omega]3 Sqrt[
  129. 1 + 9 Tan[\[Sigma]1]^2])), (\[Lambda]5 \[Omega]2^2)/2 + (
  130. 16 (\[Lambda]2 + \[Lambda]3) \[Omega]2^4 (1 -
  131. 3 Tan[\[Sigma]1]^2)^2)/(\[Omega]3^2 (1 +
  132. 9 Tan[\[Sigma]1]^2)^2) + (
  133. 6 \[Lambda]4 \[Omega]2^3 (1 - 3 Tan[\[Sigma]1]^2) (1 -
  134. Tan[\[Sigma]1]^2))/(\[Omega]3 (1 + 9 Tan[\[Sigma]1]^2)^(
  135. 3/2)) + (3 \[Lambda]5 \[Omega]2^2)/(
  136. 2 (1 + 9 Tan[\[Sigma]1]^2)) + (
  137. 3 \[Lambda]5 \[Omega]2^2 Tan[\[Sigma]1]^2)/(
  138. 2 (1 + 9 Tan[\[Sigma]1]^2)) - (
  139. 2 (\[Lambda]5 + \[Lambda]6) \[Omega]2^2 (1 + 3 Tan[\[Sigma]1]^2))/(
  140. 1 + 9 Tan[\[Sigma]1]^2)}}
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