WeierstrassZetaHalfPeriodValues[{Conjugate[Subscript[g, 2]], Conjugate[Subscript[g, 3]]}][[3]] == -Conjugate[WeierstrassZetaHalfPeriodValues[{Subscript[g, 2], Subscript[g, 3]}]][[3]]

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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> <mrow> <mstyle scriptlevel='0'> <msub> <mi> &#951; </mi> <mn> 3 </mn> </msub> </mstyle> <mo> ( </mo> <mstyle scriptlevel='0'> <mrow> <semantics> <mover> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox[SubscriptBox[&quot;g&quot;, &quot;2&quot;], &quot;_&quot;], Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mover> <msub> <mi> g </mi> <mn> 3 </mn> </msub> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox[SubscriptBox[&quot;g&quot;, &quot;3&quot;], &quot;_&quot;], Rule[Editable, True]] </annotation> </semantics> </mrow> </mstyle> <mstyle scriptlevel='0'> <mo> ) </mo> </mstyle> </mrow> <mo> &#10869; </mo> <mrow> <mo> - </mo> <mover> <mrow> <mstyle scriptlevel='0'> <msub> <mi> &#951; </mi> <mn> 3 </mn> </msub> </mstyle> <mo> ( </mo> <mstyle scriptlevel='0'> <mrow> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <mo> , </mo> <msub> <mi> g </mi> <mn> 3 </mn> </msub> </mrow> </mstyle> <mstyle scriptlevel='0'> <mo> ) </mo> </mstyle> </mrow> <mo> _ </mo> </mover> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> &#951; </ci> <cn type='integer'> 3 </cn> </apply> <apply> <apply> <ci> Rule </ci> <ci> Editable </ci> <true /> </apply> <apply> <ci> OverBar </ci> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <apply> <ci> Rule </ci> <ci> Editable </ci> <true /> </apply> <apply> <ci> OverBar </ci> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> OverBar </ci> <apply> <apply> <ci> Subscript </ci> <ci> &#951; </ci> <cn type='integer'> 3 </cn> </apply> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

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2001-10-29