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 | | http://functions.wolfram.com/01.07.21.0745.01 | 
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 | | Integrate[(Sin[e z] Cos[c z])/(a + b Sin[d z]^2)^2, z] == 
 (-(1/4)) I ((E^(((-I) c + 2 I d - I e) z) 
     ((2 a + b) (-2 a - b + 2 Sqrt[a] Sqrt[a + b]) Hypergeometric2F1[
        1 - (I ((-I) c - I e))/(2 d), 1, 2 - (I ((-I) c - I e))/(2 d), 
        -((b E^(2 I d z))/(-2 a - b - 2 Sqrt[a] Sqrt[a + b]))] + 
      (2 a + b) (2 a + b + 2 Sqrt[a] Sqrt[a + b]) Hypergeometric2F1[
        1 - (I ((-I) c - I e))/(2 d), 1, 2 - (I ((-I) c - I e))/(2 d), 
        -((b E^(2 I d z))/(-2 a - b + 2 Sqrt[a] Sqrt[a + b]))] + 
      2 Sqrt[a] ((2 a^(3/2) + 2 Sqrt[a] b - 2 a Sqrt[a + b] - b Sqrt[a + b]) 
         Hypergeometric2F1[1 - (I ((-I) c - I e))/(2 d), 2, 
          2 - (I ((-I) c - I e))/(2 d), -((b E^(2 I d z))/
            (-2 a - b - 2 Sqrt[a] Sqrt[a + b]))] + 
        (-2 a^(3/2) - 2 Sqrt[a] b - 2 a Sqrt[a + b] - b Sqrt[a + b]) 
         Hypergeometric2F1[1 - (I ((-I) c - I e))/(2 d), 2, 
          2 - (I ((-I) c - I e))/(2 d), -((b E^(2 I d z))/
            (-2 a - b + 2 Sqrt[a] Sqrt[a + b]))])))/
    (2 a^(3/2) b (a + b)^(3/2) ((-I) c + 2 I d - I e)) + 
   (E^((I c + 2 I d - I e) z) ((2 a + b) (-2 a - b + 2 Sqrt[a] Sqrt[a + b]) 
       Hypergeometric2F1[1 - (I (I c - I e))/(2 d), 1, 
        2 - (I (I c - I e))/(2 d), -((b E^(2 I d z))/(-2 a - b - 
           2 Sqrt[a] Sqrt[a + b]))] + (2 a + b) 
       (2 a + b + 2 Sqrt[a] Sqrt[a + b]) Hypergeometric2F1[
        1 - (I (I c - I e))/(2 d), 1, 2 - (I (I c - I e))/(2 d), 
        -((b E^(2 I d z))/(-2 a - b + 2 Sqrt[a] Sqrt[a + b]))] + 
      2 Sqrt[a] ((2 a^(3/2) + 2 Sqrt[a] b - 2 a Sqrt[a + b] - b Sqrt[a + b]) 
         Hypergeometric2F1[1 - (I (I c - I e))/(2 d), 2, 
          2 - (I (I c - I e))/(2 d), -((b E^(2 I d z))/(-2 a - b - 
             2 Sqrt[a] Sqrt[a + b]))] + (-2 a^(3/2) - 2 Sqrt[a] b - 
          2 a Sqrt[a + b] - b Sqrt[a + b]) Hypergeometric2F1[
          1 - (I (I c - I e))/(2 d), 2, 2 - (I (I c - I e))/(2 d), 
          -((b E^(2 I d z))/(-2 a - b + 2 Sqrt[a] Sqrt[a + b]))])))/
    (2 a^(3/2) b (a + b)^(3/2) (I c + 2 I d - I e)) - 
   (E^(((-I) c + 2 I d + I e) z) 
     ((2 a + b) (-2 a - b + 2 Sqrt[a] Sqrt[a + b]) Hypergeometric2F1[
        1 - (I ((-I) c + I e))/(2 d), 1, 2 - (I ((-I) c + I e))/(2 d), 
        -((b E^(2 I d z))/(-2 a - b - 2 Sqrt[a] Sqrt[a + b]))] + 
      (2 a + b) (2 a + b + 2 Sqrt[a] Sqrt[a + b]) Hypergeometric2F1[
        1 - (I ((-I) c + I e))/(2 d), 1, 2 - (I ((-I) c + I e))/(2 d), 
        -((b E^(2 I d z))/(-2 a - b + 2 Sqrt[a] Sqrt[a + b]))] + 
      2 Sqrt[a] ((2 a^(3/2) + 2 Sqrt[a] b - 2 a Sqrt[a + b] - b Sqrt[a + b]) 
         Hypergeometric2F1[1 - (I ((-I) c + I e))/(2 d), 2, 
          2 - (I ((-I) c + I e))/(2 d), -((b E^(2 I d z))/
            (-2 a - b - 2 Sqrt[a] Sqrt[a + b]))] + 
        (-2 a^(3/2) - 2 Sqrt[a] b - 2 a Sqrt[a + b] - b Sqrt[a + b]) 
         Hypergeometric2F1[1 - (I ((-I) c + I e))/(2 d), 2, 
          2 - (I ((-I) c + I e))/(2 d), -((b E^(2 I d z))/
            (-2 a - b + 2 Sqrt[a] Sqrt[a + b]))])))/
    (2 a^(3/2) b (a + b)^(3/2) ((-I) c + 2 I d + I e)) - 
   (E^((I c + 2 I d + I e) z) ((2 a + b) (-2 a - b + 2 Sqrt[a] Sqrt[a + b]) 
       Hypergeometric2F1[1 - (I (I c + I e))/(2 d), 1, 
        2 - (I (I c + I e))/(2 d), -((b E^(2 I d z))/(-2 a - b - 
           2 Sqrt[a] Sqrt[a + b]))] + (2 a + b) 
       (2 a + b + 2 Sqrt[a] Sqrt[a + b]) Hypergeometric2F1[
        1 - (I (I c + I e))/(2 d), 1, 2 - (I (I c + I e))/(2 d), 
        -((b E^(2 I d z))/(-2 a - b + 2 Sqrt[a] Sqrt[a + b]))] + 
      2 Sqrt[a] ((2 a^(3/2) + 2 Sqrt[a] b - 2 a Sqrt[a + b] - b Sqrt[a + b]) 
         Hypergeometric2F1[1 - (I (I c + I e))/(2 d), 2, 
          2 - (I (I c + I e))/(2 d), -((b E^(2 I d z))/(-2 a - b - 
             2 Sqrt[a] Sqrt[a + b]))] + (-2 a^(3/2) - 2 Sqrt[a] b - 
          2 a Sqrt[a + b] - b Sqrt[a + b]) Hypergeometric2F1[
          1 - (I (I c + I e))/(2 d), 2, 2 - (I (I c + I e))/(2 d), 
          -((b E^(2 I d z))/(-2 a - b + 2 Sqrt[a] Sqrt[a + b]))])))/
    (2 a^(3/2) b (a + b)^(3/2) (I c + 2 I d + I e))) | 
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</mo>  <mi> z </mi>  </mrow>  </msup>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mi> b </mi>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "c"]], "-", RowBox[List["\[ImaginaryI]", " ", "e"]]]], ")"]]]], RowBox[List["2", " ", "d"]]]]], Hypergeometric2F1], ",", 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</mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> / </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msup>  <mi> a </mi>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mi> b </mi>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  <mo> - </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mrow>  <mrow>  <mo> ( </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  <mo> ⁢ </mo>  <mi> c </mi>  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<mrow>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> + </mo>  <mi> b </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mi> b </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 2 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  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<mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mi> b </mi>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "c"]], "+", RowBox[List["\[ImaginaryI]", " ", "e"]]]], ")"]]]], RowBox[List["2", " ", "d"]]]]], Hypergeometric2F1], ",", TagBox["1", Hypergeometric2F1]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric2F1], ";", TagBox[TagBox[TagBox[RowBox[List["2", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", 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 <mn> 3 </mn>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> b </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mrow>  <mi> b </mi>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 2 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  </mfrac>  </mrow>  <mo> , </mo>  <mn> 2 </mn>  </mrow>  <mo> ; </mo>  <mrow>  <mn> 2 </mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  </mfrac>  </mrow>  <mo> ; </mo>  <mrow>  <mo> - </mo>  <mfrac>  <mrow>  <mi> b </mi>  <mo> ⁢ </mo>  <msup>  <mi> ⅇ </mi>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </msup>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  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</mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  </mfrac>  </mrow>  <mo> ; </mo>  <mrow>  <mo> - </mo>  <mfrac>  <mrow>  <mi> b </mi>  <mo> ⁢ </mo>  <msup>  <mi> ⅇ </mi>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </msup>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mi> b </mi>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "c"]], "+", RowBox[List["\[ImaginaryI]", " ", "e"]]]], ")"]]]], RowBox[List["2", " ", "d"]]]]], Hypergeometric2F1], ",", TagBox["2", Hypergeometric2F1]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric2F1], ";", TagBox[TagBox[TagBox[RowBox[List["2", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "c"]], "+", RowBox[List["\[ImaginaryI]", " ", "e"]]]], ")"]]]], RowBox[List["2", " ", "d"]]]]], Hypergeometric2F1], 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</mo>  <mi> b </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> + </mo>  <mi> b </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 2 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  </mfrac>  </mrow>  <mo> , </mo>  <mn> 1 </mn>  </mrow>  <mo> ; 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</mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 2 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  </mfrac>  </mrow>  <mo> , </mo>  <mn> 1 </mn>  </mrow>  <mo> ; </mo>  <mrow>  <mn> 2 </mn>  <mo> - </mo>  <mfrac>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> c </mi>  </mrow>  <mo> + </mo>  <mrow>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> e </mi>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> d </mi>  </mrow>  </mfrac>  </mrow>  <mo> ; </mo>  <mrow>  <mo> - </mo>  <mfrac>  <mrow>  <mi> b </mi>  <mo> ⁢ </mo>  <msup>  <mi> ⅇ </mi>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </msup>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mi> b </mi>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", 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InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]]], Hypergeometric2F1] </annotation>  </semantics>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> a </mi>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> - </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> b </mi>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mrow>  <mi> b </mi>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 2 </mn>  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<mn> 2 </mn>  <mo> ⁢ </mo>  <mi> ⅈ </mi>  <mo> ⁢ </mo>  <mi> d </mi>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  </msup>  </mrow>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mn> 2 </mn>  </mrow>  <mo> ⁢ </mo>  <mi> a </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msqrt>  <mrow>  <mi> a </mi>  <mo> + </mo>  <mi> b </mi>  </mrow>  </msqrt>  <mo> ⁢ </mo>  <msqrt>  <mi> a </mi>  </msqrt>  </mrow>  <mo> - </mo>  <mi> b </mi>  </mrow>  </mfrac>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["1", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "c"]], "+", RowBox[List["\[ImaginaryI]", " ", "e"]]]], ")"]]]], 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/>  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <ci> b </ci>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a 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<ci> b </ci>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  <apply>  <times />  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <ci> z </ci>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <ci> b </ci>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <ci> z </ci>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <ci> b </ci>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <times />  <cn type='integer'> -1 </cn>  <imaginaryi />  </apply>  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <ci> z </ci>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <ci> b </ci>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> a </ci>  </apply>  <ci> b </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 1 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <ci> b </ci>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <ci> a </ci>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> b </ci>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <ci> Hypergeometric2F1 </ci>  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <cn type='integer'> 2 </cn>  <apply>  <plus />  <cn type='integer'> 2 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <imaginaryi />  <apply>  <plus />  <apply>  <times />  <imaginaryi />  <ci> c </ci>  </apply>  <apply>  <times />  <imaginaryi />  <ci> e </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> d </ci>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> b </ci>  <apply>  <power />  <exponentiale />  <apply>  <times />  <cn type='integer'> 2 </cn>  <imaginaryi />  <ci> d </ci>  <ci> z </ci>  </apply>  </apply>  <apply>  <power />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> -2 </cn>  <ci> a </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <apply>  <plus />  <ci> a </ci>  <ci> b </ci>  </apply>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <apply>  <power />  <ci> a </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  </apply>  <apply>  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