[Tex/LaTex] LuaLaTeX AMS-Typesetting bug with sum\limits under sqrt

amsmathluatex

it looks as if there is a bug in math-typeseeting with lualatex using ams. An minimum example showing this is

\documentclass[12pt]{report}
\usepackage{amsmath}

\begin{document}

This looks OK, but uses the "wrong" non-AMS-environment eqnarray

\begin{eqnarray}
  \label{eq:1}
  s&=\sqrt{\frac{1}{N-1}\sum\limits_{i=1}^N x_i}
\end{eqnarray}

This is no not OK and using the equation-environment
\begin{equation}
  \label{eq:1}
  s=\sqrt{\frac{1}{N-1}\sum\limits_{i=1}^N x_i}
\end{equation}

And again with align
\begin{align}
  \label{eq:1}
  s&=\sqrt{\frac{1}{N-1}\sum\limits_{i=1}^N x_i}
\end{align}

\end{document}

%%% Local Variables: 
%%% mode: latex
%%% TeX-engine: luatex
%%% coding: utf-8
%%% TeX-PDF-mode: t
%%% End:

The last (%%%%-preceded) lines are for emacs to call lualatex -shell-escape filename and generate pdf-output, which ia OK, in the eqnarray-case (but ugly, non-AMS-Style) and in the latter two cases weared things happen:
There is one line with the square-root with a big black block underneath and the somewhot lower the rest of the formular. This is totally messed up.

Can someone help on this, I still hope it's my fault and not TeX's (btw: it works OK with "old" latex -> dvi -> ps or pdf workflow.

Versioning and output of Latex is

Running LaTeX on min_ex with
lualatex -shell-escape -interaction=nonstopmode min_ex.tex:

This is LuaTeX, Version beta-0.70.2-2012060719 (MiKTeX 2.9) 
 \write18 enabled.

(c:/Users/gerald/Documents/02_akademia/Seminare/slides/utf8/temp_specials/min_example/min_ex.tex
LaTeX2e <2011/06/27>
LuaTeX adaptation of babel <v3.8m-luatex-1.5> and hyphenation patterns for english, loaded.
("C:/Program Files/MiKTeX 2.9/tex/latex/base/report.cls"
Document Class: report 2007/10/19 v1.4h Standard LaTeX document class
("C:/Program Files/MiKTeX 2.9/tex/latex/base/size12.clo"))
("C:/Program Files/MiKTeX 2.9/tex/latex/ams/math/amsmath.sty"
For additional information on amsmath, use the `?' option.
("C:/Program Files/MiKTeX 2.9/tex/latex/ams/math/amstext.sty"
("C:/Program Files/MiKTeX 2.9/tex/latex/ams/math/amsgen.sty"))
("C:/Program Files/MiKTeX 2.9/tex/latex/ams/math/amsbsy.sty")
("C:/Program Files/MiKTeX 2.9/tex/latex/ams/math/amsopn.sty"))
(c:/Users/gerald/Documents/02_akademia/Seminare/slides/utf8/temp_specials/min_example/min_ex.aux

LaTeX Warning: Label `eq:1' multiply defined.


LaTeX Warning: Label `eq:1' multiply defined.

) [1{C:/ProgramData/MiKTeX/2.9/pdftex/config/pdftex.map}]
(c:/Users/gerald/Documents/02_akademia/Seminare/slides/utf8/temp_specials/min_example/min_ex.aux)

LaTeX Warning: There were multiply-defined labels.

 )
 336 words of node memory still in use:
    nodes
avail lists: 2:12,3:29,4:152,5:45,6:188,7:9,9:109,10:6
<C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmex10.pfb><C:/Program     
Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmmi12.pfb><C:/Program Files/MiKTeX 
2.9/fonts/type1/public/amsfonts/cm/cmmi8.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1
/public/amsfonts/cm/cmr12.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts
/cm/cmr8.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmsy10.pfb>
<C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmsy8.pfb>

Output written on min_ex.pdf (1 page, 63918 bytes).
Transcript written on min_ex.log.

LaTeX finished at Tue Sep 11 08:10:56

Best Answer

for LuaTeX use

\documentclass[12pt]{report}
    
\usepackage{amsmath}

\usepackage{unicode-math}
    
[...]
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