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 | | http://functions.wolfram.com/07.23.03.aqyv.01 | 
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 | | Hypergeometric2F1[-(21/5), 5, 4/5, z] == 
 (1/7812500) (7812500 - 200809245 z + 1021653360 z^2 - 1724082360 z^3 + 
   916035120 z^4 + 3696 z^(1/5) (924 - 16016 z + 67704 z^2 - 101556 z^3 + 
     49569 z^4) Log[1 - z^(1/5)] - 3696 (-1)^(1/5) z^(1/5) 
    (924 - 16016 z + 67704 z^2 - 101556 z^3 + 49569 z^4) 
    Log[1 + (-1)^(1/5) z^(1/5)] + 3415104 (-1)^(2/5) z^(1/5) 
    Log[1 - (-1)^(2/5) z^(1/5)] - 59195136 (-1)^(2/5) z^(6/5) 
    Log[1 - (-1)^(2/5) z^(1/5)] + 250233984 (-1)^(2/5) z^(11/5) 
    Log[1 - (-1)^(2/5) z^(1/5)] - 375350976 (-1)^(2/5) z^(16/5) 
    Log[1 - (-1)^(2/5) z^(1/5)] + 183207024 (-1)^(2/5) z^(21/5) 
    Log[1 - (-1)^(2/5) z^(1/5)] - 3415104 (-1)^(3/5) z^(1/5) 
    Log[1 + (-1)^(3/5) z^(1/5)] + 59195136 (-1)^(3/5) z^(6/5) 
    Log[1 + (-1)^(3/5) z^(1/5)] - 250233984 (-1)^(3/5) z^(11/5) 
    Log[1 + (-1)^(3/5) z^(1/5)] + 375350976 (-1)^(3/5) z^(16/5) 
    Log[1 + (-1)^(3/5) z^(1/5)] - 183207024 (-1)^(3/5) z^(21/5) 
    Log[1 + (-1)^(3/5) z^(1/5)] + 3415104 (-1)^(4/5) z^(1/5) 
    Log[1 - (-1)^(4/5) z^(1/5)] - 59195136 (-1)^(4/5) z^(6/5) 
    Log[1 - (-1)^(4/5) z^(1/5)] + 250233984 (-1)^(4/5) z^(11/5) 
    Log[1 - (-1)^(4/5) z^(1/5)] - 375350976 (-1)^(4/5) z^(16/5) 
    Log[1 - (-1)^(4/5) z^(1/5)] + 183207024 (-1)^(4/5) z^(21/5) 
    Log[1 - (-1)^(4/5) z^(1/5)]) | 
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   <math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'>  <semantics>  <mrow>  <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>  <mo> - </mo>  <mfrac>  <mn> 21 </mn>  <mn> 5 </mn>  </mfrac>  </mrow>  <mo> , </mo>  <mn> 5 </mn>  </mrow>  <mo> ; </mo>  <mfrac>  <mn> 4 </mn>  <mn> 5 </mn>  </mfrac>  <mo> ; </mo>  <mi> z </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["21", "5"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["5", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["4", "5"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] </annotation>  </semantics>  <mo>  </mo>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 7812500 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 183207024 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 21 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 183207024 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 21 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 183207024 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 21 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 916035120 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 4 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 375350976 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 16 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 375350976 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 16 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 375350976 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 16 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 1724082360 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 3 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 250233984 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 11 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 250233984 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 11 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 250233984 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 11 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 1021653360 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 2 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 59195136 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 6 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 59195136 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 6 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 59195136 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 6 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 200809245 </mn>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  <mo> + </mo>  <mrow>  <mn> 3696 </mn>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 49569 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 4 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 101556 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 3 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 67704 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 2 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 16016 </mn>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  <mo> + </mo>  <mn> 924 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> - </mo>  <mrow>  <mn> 3696 </mn>  <mo> ⁢ </mo>  <mroot>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mn> 5 </mn>  </mroot>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 49569 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 4 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 101556 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 3 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 67704 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 2 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 16016 </mn>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  <mo> + </mo>  <mn> 924 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <mroot>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mn> 5 </mn>  </mroot>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mrow>  <mn> 3415104 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 2 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> - </mo>  <mrow>  <mn> 3415104 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mrow>  <mn> 3415104 </mn>  <mo> ⁢ </mo>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mi> log </mi>  <mo> ⁡ </mo>  <mo> ( </mo>  <mrow>  <mn> 1 </mn>  <mo> - </mo>  <mrow>  <msup>  <mrow>  <mo> ( </mo>  <mrow>  <mo> - </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mrow>  <mn> 4 </mn>  <mo> / </mo>  <mn> 5 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mroot>  <mi> z </mi>  <mn> 5 </mn>  </mroot>  </mrow>  <mo> + </mo>  <mn> 7812500 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <eq />  <apply>  <ci> HypergeometricPFQ </ci>  <list>  <apply>  <times />  <cn type='integer'> -1 </cn>  <cn type='rational'> 21 <sep /> 5 </cn>  </apply>  <cn type='integer'> 5 </cn>  </list>  <list>  <cn type='rational'> 4 <sep /> 5 </cn>  </list>  <ci> z </ci>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 7812500 </cn>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 183207024 </cn>  <apply>  <power />  <cn type='integer'> -1 </cn>  <cn type='rational'> 2 <sep /> 5 </cn>  </apply>  <apply>  <ln />  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <cn type='rational'> 2 <sep /> 5 </cn>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 5 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 21 <sep /> 5 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 183207024 </cn>  <apply>  <power />  <cn type='integer'> -1 </cn>  <cn type='rational'> 3 <sep /> 5 </cn>  </apply>  <apply>  <ln />  <apply>  <plus />  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <cn type='rational'> 3 <sep /> 5 </cn>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 5 </cn>  </apply>  </apply>  <cn type='integer'> 1 </cn>  </apply>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 21 <sep /> 5 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 183207024 </cn>  <apply>  <power />  <cn type='integer'> -1 </cn>  <cn type='rational'> 4 <sep /> 5 </cn>  </apply>  <apply>  <ln />  <apply>  <plus />  <cn type='integer'> 1 </cn>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <apply>  <power />  <cn type='integer'> -1 </cn>  <cn type='rational'> 4 <sep /> 5 </cn>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 1 <sep /> 5 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 21 <sep /> 5 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 916035120 </cn>  <apply>  <power />  <ci> z </ci>  <cn 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 | | HypergeometricPFQ[{},{},z] |  | HypergeometricPFQ[{},{b},z] |  | HypergeometricPFQ[{a},{},z] |  | HypergeometricPFQ[{a},{b},z] |  | HypergeometricPFQ[{a1},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] |  | HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] |  | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] |  | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] |  | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] |  |  | 
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