There is a series of fields 
 <i>Q, F<sub>1</sub>, ..., F<sub>n</sub>, R</I> 
with  <br>

<i>Q &#8838  F<sub>1</sub> &#8838  ... &#8838 F<sub>n</sub> &#8838  R</I> <br> 

such that <i>F<sub>i + 1</sub> = F<sub>i</sub></I> 
(&#8730&#945<sub><i>i</i></sub></i>),  &#945<sub><i>i</i></sub> 
&#8712
<i>F<sub>i</sub></i>,  
   and <i> c &#8712 F<sub><i>n</i></sub>.