initially I tried to install via git as described here 
http://trac.sagemath.org/wiki/Cygwin64Port but, because I have a very poor 
internet connection behind some company firewalls I dit not suceed with git 
clone git://trac.sagemath.org/sage.git. So I downloaded sage-6.7.tar.gz 
<ftp://ftp.fu-berlin.de/unix/misc/sage/src/sage-6.7.tar.gz> from 
ftp://ftp.fu-berlin.de/unix/misc/sage/src/index.html Annother problem is 
taht I don have admin rights so I installed cygwin not on C:\cygwin But I 
have a custom path like C:\XXX\cygwin64. After your comment above I 
recognized, that I had not installed all the necessary development 
packages. After I installed them I succeeded up to the buliding pf python. 
There I got an error. But after rebasing as described in 
http://trac.sagemath.org/wiki/Cygwin64Port I even got to the point where 
cygwin tried to build sage It says cd /home/USERXX/sage-6.7/build The last 
successfull build was building 'sage.ext.interpreters.wrapper_el' extension 
but then an error occured:

gcc .... -o 
> build/lib.cygwin-2.0.3-x86_64-2.7/sage/rings/polynomial/pbori.dll
> build/temp.cygwin-2.0.3-x86_64-2.7/build/cythonized/sage/rings/polynomial/pbori.o:
>  
> In function `__pyx_f_4sage_4misc_4long_pyobject_to_long':
> ~/sage-6.7/src/build/cythonized/sage/rings/polynomial/pbori.cpp:61424: 
> undefined reference to `__imp___gmpz_fits_slong_p'
> ~/sage-6.7/src/build/cythonized/sage/rings/polynomial/pbori.cpp:61424:(.text+0x5fdea):
>  
> relocation truncated to fit: R_X86_64_PC32 against undefined symbol 
> `__imp___gmpz_fits_slong_p'
> ~/sage-6.7/src/build/cythonized/sage/rings/polynomial/pbori.cpp:61434: 
> undefined reference to `__imp___gmpz_get_si'
> ~/sage-6.7/src/build/cythonized/sage/rings/polynomial/pbori.cpp:61434:(.text+0x5fdfb):
>  
> relocation truncated to fit: R_X86_64_PC32 against undefined symbol 
> `__imp___gmpz_get_si'
> collect2: Fehler: ld gab 1 als Ende-Status zurück
> gcc ... -o 
> build/temp.cygwin-2.0.3-x86_64-2.7/build/cythonized/sage/stats/hmm/distributions.o
>  
> -fno-strict-aliasing -w
> error: command 'g++' failed with exit status 1
> Makefile:9: die Regel für Ziel „sage“ scheiterte
> make[3]: *** [sage] Fehler 1
>
>
What to do ??

Does it make sense to try on an clean Cywin32 on C:\cygwin\? 

Are there less problems ? 

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