U
    ZÊ¹jÛ�  ã                   @   sÒ   d Z dd„ dd„ dd„ dd„ dd„ dd„ gdd„ d	d„ d
d„ gdd„ dd„ dd„ dd„ dd„ dd„ gdd„ dd„ dd„ dd„ dd„ dd„ gdd„ dd„ dd„ dd„ dd„ dd„ dd„ dd„ dd„ d d„ g
d!œZd"S )#zDLookup table for Galois resolvents for polys of degree 4 through 6. c                 C   s   d|  | d|  S )Néþÿÿÿé   © ©Ús1Ús2Ús3Ús4r   r   úh/var/www/html/bwave/python/venv/lib/python3.8/site-packages/sympy/polys/numberfields/resolvent_lookup.pyÚ<lambda>	   ó    r
   c                 C   s`   d| d  | | d |d   | d |  d|  | |  d|d   d| |  d|d   S )Né   é   é   é   é   r   r   r   r   r	   r
   
   r   c                 C   sØ   d| d  | d| d  | |  d| d  | |  d| d  |d   d| d  |d  |  d| d  | |  d|  |d   d	|  | |d   d
|  |d   d|d  |  d
| | |  d|d   S )Nr   é   r   é   é
   r   r   é   é6   é    é8   r   r   r   r   r	   r
      s   bÿÿÿÿÿÿ
þc                 C   sä  d| d  | | | d |d   d| d  | |  d| d  |d  |  d| d  | |d   d| d  |d   d| d  |d  |  d	| d  | | |  d
| d  |d   d| d  |d  |  d| d  |d  |d   d| d  | |d   d| d  |d  |  d|  |d  |  d|  |d  | |  d|  | |d   d|  | |d   |d  d|d  |  d
|d  |d   d|d  |d   d| |d  |  d|d   d|d   S )Nr   r   r   é   r   é   é   r   é   é   r   é!   éH   é$   é0   ét   é�   r   éx   é`   é@   r   r   r   r   r	   r
      sL   fÿÿÿÿÿþþþþýýýýýýüü
ü
üc                 C   sØ  d| d  | | | d |d   d| d  | | |  d| d  |d   d| d  |d  |  | d |d  |d   d	| d  |d  |  d
| d  |d  | |  d| d  | |d   d| d  | |d   d| d  |d  |  d| d  |d  |d   d| d  |d  |d   d| d  | |d  |  d| d  |d   d| d  |d   | d |d  |  d| d  |d  | |  d| d  |d  |d   d| d  | | |d   d| d  |d  |  d|  |d  |d   d|  |d  |d  |  d|  | |d   d|  |d  |d   d|d  |  d|d  | |  d|d  |d   d|d  | |d   d| |d  |  d|d   d| |d   S )Nr   r   r   r   r   r   r   r   é   é<   r   é   é&   é	   r   r   é†   é   é   é"   i   éh   r#   é€   éP  r$   é°   r   r   r   r   r	   r
      sl   fÿÿÿÿþþþþýýýýýüüüüûûûûûúúú
úúc                 C   sT  | d |d  d| d  | |d   d| d  |d  |  | d |d  | |  d| d  | |d   d| d  |d  |d   d	| d  | |d  |  | d |d
   d| d  |d   d| d  |d  | |  d| d  | | |d   d| d  |d  |  | d
 |d  |  d| d
  |d  |d   d| d
  |d  |d  |  d| d
  | |d
   d| d
  | |d   d| d
  |d  |d   d| d  |d
  | |  d| d  |d  |d   d| d  |d  | |d   d| d  | |d  |  d| d  |d   d| d  | |d   d
| d  |d  |  d| d  |d
  |d   d| d  |d  |d  |  d| d  |d  |d
   d| d  |d  |d   d| d  | |d  |d   d| d  |d
  |  d|  |d  | |  d|  |d
  |d   d|  |d  | |d   d|  |d  |d  |  d|  | |d   d|  | | |d   d|  |d  |d   |d |d   d|d
  |d  |  d|d  |d
   d |d  |d  |d   d!| |d
  |  d|d   d"|d  |d   S )#Nr   r   r   r   r   é   é-   r   r   r   r   r   r   é…   r   éL   r   r0   r&   iX  r    r-   r+   r   r%   iˆ  i(  r$   é   é   r,   r2   éà   i@  r   r   r   r   r	   r
      s    nÿÿÿÿÿþþþþýýýýüüüüûûûûûúúúúùùùùøøøøø	÷	÷	÷	
÷	÷c                 C   s   | S ©Nr   r   r   r   r	   r
   &   r   c                 C   s   | | d|  S )Nr   r   r   r   r   r	   r
   '   r   c                 C   s"   | d  | d| |  |d  S )Nr   r   r   r   r   r   r	   r
   (   r   c                 C   s   d|  | d|  S )Nr   r   r   ©r   r   r   r   Ús5r   r   r	   r
   +   r   c                 C   sŒ   d| d  | d| d  | |  | d |d   d|  | |  d|  | |  d|d  |  d| |d   d| |  d|d   S )	Niøÿÿÿr   r   r   é   r   é2   é(   r   r;   r   r   r	   r
   ,   s   bÿ
ÿ
ÿc                 C   s¸  d| d  | | d| d  |d   d| d  |d  |  d| d  | | |  d| d  | |  d| d  | | |  d| d  | |d   d| d  |d  |  d	| d  |d   d
|  |d  |  d|  |d  | |  d|  | |d   d|  | | |  d|  |d  |  d|  | |d   d|d  | |  d|d  |d   d| |d  |  d| |d   d|d   d| | |  d|d   S )Nr-   r   r   r   é,   éB   é   r   r>   r*   r   é¾   r#   éP   r3   r?   é}   é�  é    r   r;   r   r   r	   r
   .   sD   jÿÿÿÿÿþþþþþýýýý
ýý
üc                 C   s  d| d  |d  d| d  | | |  d| d  |d  |  d| d  | |d   d| d  |d  | |  | d |d  |d   d| d  | |d   d| d  | | |  d| d  |d	   d
| d	  |d  | |  d| d	  | |d  |  d| d	  | | |d   d| d	  | |d   d| d	  |d  |  d| d  |d	  | |  d| d  |d	  |d   d	| d  |d  |d  |  d| d  |d  |d   d| d  | | | |  d| d  | |d	   d| d  |d	  |  d| d  |d  |d   d| d  | |d   d|  |d	  | |  d|  |d  |d  |  d|  |d  | |d   d|  | |d	  |  d|  | | |d   d|  | |d  |  d|  |d   d|  |d  | |  d|  | |d	   d|d  |d   d|d	  |d  |  |d |d   d|d  | | |  d|d  |d	   d| |d	  |  d| |d  |d   d | | |d   d|d  |  d!|d  |d   d"| |d  |  d#|d   S )$Nr-   r   r   r   r   r   r#   éD   r   é.   r,   r(   éú   r"   r*   éá   éb  r6   éF   é)   éÈ   r   r4   r   ék  é€  év  é  éZ   éˆ   r>   éô  éq  éx  rF   r   r;   r   r   r	   r
   3   sœ   vÿÿÿÿÿþþþþýýýýüüüüûûûûúúúúúùùùùùøøøøø	÷	÷	
÷c                 C   s°  d| d  | |d  d| d  |d  |  d| d  |d  |d   d| d  | | | |  d| d  | |d   d| d  | |d   d| d  |d  | |  d	| d  | | |d   d
| d  | |d  |  d| d  |d  | |  d| d  | |d   d| d  |d   d| d  |d  |d   d| d  |d  | | |  d| d  |d  |d   d| d  | |d  |  d| d  | |d  |d   d| d  | | |d   d| d  |d  |d   d| d  | |d  |  d| d  |d   d| d  |d  | |  d| d  |d  |d  |  | d |d  | |d   d| d  |d  | |d   d| d  |d  |d  |  d| d  | |d  | |  d| d  | | |d   d| d  | |d   d| d  |d  |  d| d  |d  |d   d| d  | | |d   d| d  |d  |  d| d  |d  |d   d| d  |d  | | |  d| d  |d  |d   d| d  |d  |d  |  d | d  |d  |d  |d   d!| d  |d  | |d   d| d  | |d  |  d"| d  | |d  |d   d#| d  | | |d  |  d$| d  | |d   d%| d  |d  | |  d&| d  |d  |d   d'| d  | |d   d(| d  |d  |d   d)|  |d  | |  d*|  |d  |d  |  d|  |d  | |d   | |d  |d  |  d+|  |d  | |d   d,|  |d  |d  |  d-|  |d  |d  | |  d.|  |d  | |d   d/|  |d  |d   d0|  | |d  |  d|  | |d  |d   d1|  | | | |d   d2|  | |d  |  d|  |d  |  d3|  |d  |d   d4|  |d  |d  |  d5|  | |d   d6|  | |d   d7|d  |d   d8|d  | | |  d|d  |d   d9|d  |d  |  d|d  |d  |d   d:|d  | |d   d|d  |d  |  d;|d  |d  |d   d<|d  | |d  |  d=|d  |d   d| |d   d>| |d  | |  d$| |d  |d   d?| | |d   d@| |d  |d   dA|d  |  d|d  |d   dB|d  | |d   dC| |d  |  dD|d   dE|d   S )FNiàÿÿÿr   r   r   r   r   r    r   rS   é^   r   r   rA   r   r>   r(   é>  é`  é¦   r3   é>  é[  éÂ   éY   é^  éB  él  é¢   r   é3   r   r,   é1  é<  é…  r6   éê   éf   éî  é&  é   r*   é´   én  éç   éÔ   éw  ép   é  éh  éR  éÄ  é€  éÄ	  él   éu   é   é  éE  é  r7   éi   rW   rV   é:   é¾
  é`	  é   é5  r   r;   r   r   r	   r
   =   sH  fÿÿÿÿþþþþýýýýüüüüûûûûúúúùùùùøøøø	÷	÷	"÷	÷
ö
ö
ö
öõõõõôôôôóóóóòòòòññññðððððïïïïîîîîîíííííìì
ì
ìc                 C   s   d| d  |d  |d  d| d  | |d  |  | d |d   d| d  |d  | |d   d| d  |d  |d  |  d| d  | | |d   d| d  |d  |  | d	 |d  |d   d| d	  |d  | |d   d
| d	  | |d  |d   d| d	  | | |d  |  d| d	  | |d   d| d	  | |d   d| d	  |d  |d   d| d  |d  | |d   d| d  |d  |d  |  d| d  |d  |d  | |  | d |d  | |d   d| d  |d  |d   d| d  | | | |d   d| d  | |d  |  d| d  |d  |d   d| d  |d  |d  |  d| d  | |d   d| d  | |d   d| d  |d  |d   | d |d  | | |  d| d  |d  | |d   d| d  |d  |d  |d   d| d  |d  | |d  |  d| d  |d  |d   d| d  | |d  | |  d| d  | |d  |d   d| d  | | |d   d| d  | |d  |d   d| d  |d  |  d| d  |d  |d   d | d  |d  | |d   d!| d  | |d  |  d"| d  |d   d#| d  |d   d$| d  |d  | |d   d| d  |d  |d  |  d%| d  |d  |d  | |  d&| d  |d  | |d   d'| d  |d  |d   d	| d  |d  |d  |  d| d  |d  |d  |d   d(| d  |d  | | |d   d)| d  |d  |d  |  d*| d  | |d  |d   d+| d  | |d  |d  |  d,| d  | | |d   d-| d  | | |d   d| d  |d  | |  d	| d  |d  |d   d.| d  |d  |d   d/| d  | |d  |d   d0| d  |d  |  d1| d  |d	  |d   d| d  |d  | | |  | d |d  |d   | d |d  |d  |  d2| d  |d  | |d   d3| d  |d  |d  |d   d4| d  |d  | |d  |  d5| d  |d  |d   d6| d  |d  |d  | |  d7| d  |d  |d  |d   d8| d  |d  | |d   d9| d  |d  |d  |d   d:| d  | |d  |  d| d  | |d  |d   d;| d  | |d  | |d   d<| d  | | |d  |  d| d  | |d   d=| d  | |d   d>| d  |d  |d   d?| d  |d  |d  |  d@| d  |d  |d   dA| d  | | |d   dB| d  |d  |d   dC|  |d  | |d   dD|  |d  |d  |  dE|  |d  |d  | |  dF|  |d  | |d   dG|  |d  |d  |  d&|  |d  |d  |d   d&|  |d  | | |d   dH|  |d  |d  |  | |d  |d  |  dI|  |d  |d  |d   dJ|  |d  |d  |d  |  dH|  |d  | |d   dK|  |d  | |d   dL|  | |d  | |  d,|  | |d  |d   d#|  | |d  |d   dM|  | | |d  |d   dN|  | |d  |  dO|  |d	  |  d|  |d  |d   dP|  |d  | |d   dQ|  |d  |d  |  dR|  | |d   d=|  | |d   dS|  |d  |d   d1|d  |d   dT|d	  | | |  d|d	  |d   d|d  |d  |  |d |d  |d   dU|d  | |d   dV|d  |d  |d   dW|d  | |d  |  d|d  |d   d|d  |d  | |  d5|d  |d  |d   dX|d  |d  |d   d|d  |d  |  d|d  |d  |d   dY|d  |d  | |d   dZ|d  | |d  |  dR|d  |d   d=|d  |d   d| |d	  |  d8| |d  |d   d[| |d  |d  |  d| |d  |d   d\| | | |d   d]| |d  |d   |d  d^|d  | |  d"|d  |d   d_|d  |d  |d   d`| |d  |  da|d	   db| |d   S )cNr-   r   r   r   r   r    r   r   r   r"   éX   r   r   éV   r   r   r   r=   é0  é”   é˜   r   éÔ  r*   r6   ér  é  éA   r,   rO   é&  é¤  rn   r   rW   éÒ   é+   r3   r>   é�  é  é¼  é¿  év   éü  rJ   é¾  é  rm   é�   é¹   é¨   r0   é]   r(   rE   éb  r   éË  é–  r…   rr   é¬   éR   é¬  éª  éÆ   éN   é_   r@   é   rx   r}   é  éÖ  r&   rv   éà  r)   é  é  éÀ   éL  é   éc   é–   éÄ   é°  éÕ  rG   éN  éâ  éÐ  é|   é²  é@  r7   éŸ$  r   r;   r   r   r	   r
   R   s  fÿÿÿÿþþþþýýýý"üüüüûûûûúúúú"ù"ùùøøøø	÷	÷	÷	÷
ö
ö
ö
ö"õõõõ"ô"ôôó"óóòòòòññññððð"ð"ïï"ï"îî"îíí"ííììììëëëëêêêêééééè"èèççççææææååååäääääããããââââáááá à à à à à!ß!ß!ß!ß!ß"Þ"Þ"Þ"
Þ"Þc                 C   s    d|  | d| |  d|  S )Nr   r   r±   r   ©r   r   r   r   r<   Zs6r   r   r	   r
   w   r   c                 C   s  d| d  | | d| d  |d   d|  | | |  d|  | | |  d|  |d  |  d|  | |d   d|  | |  d|d  |  d|d  | |  |d |d   d	| | |  d
| |d   d|d  |  d| | |  d|d   d|d   S )NiÎÿÿÿr   r?   r   r=   r   r   r   ér   r>   r   é‡   r   r¾   r   r   r	   r
   x   s,   bÿÿÿÿÿÿþþþ
þ
þc                 C   sŒ  d| d  | |d  d| d  | | |  d| d  |d   d| d  |d  |d   d| d  | | | |  d| d  | |d  |  d	| d  | | |d   d
| d  |d  | |  d| d  |d  |d   d| d  | |d  |  d| d  |d   d| d  | |d   d	| d  |d  |  d|  |d  | |  d|  |d  | | |  d|  |d  | |d   d|  |d  |d  |  d|  | |d  |  d|  | |d  | |  d|  | | |d   d|  | | |d   d|  | | | |  d|  | |d   d|  |d  | |  d|  | |d  |  d|  | | |d   d|  |d  |  d|  | |d   d|d  | |  d|d  |d   d|d  |d  |  d|d  | | |  d|d  |d   d|d  | | |  d|d  |d  |  d|d  | |d   d| |d  | |  d
| |d  |d   d| | |d  |  d| |d   d| | |d   d| |d  |  d|d  |  d|d  | |  d|d  |d   d|d  |d   d| | | |  d| |d   d|d  |  d|d  |d   d |d   S )!NrE   r   r   rF   rG   r>   rC   r#   rD   r3   r?   rB   r   i„  r@   rA   r   r*   r   iÞ  i˜  rÀ   é~   i  r-   rˆ   éè   r¦   i   rm   éF  é¨  r   r¾   r   r   r	   r
   {   s¼   ^ÿÿÿÿþþþþýýýýüüüüûûûûúúúúúùùùùùøøøø	÷	÷	÷	÷	÷
ö
ö
ö
ö
öõõ
õc                 C   sP  d| d  | | |d  d| d  |d  |d   d| d  | |d  |  d| d  |d   d| d  |d  | |d   d	| d  | | | |d   d
| d  | | |d  |  d| d  | |d  | |  d| d  | | |d   d| d  |d  | | |  d| d  |d  |d   d| d  | |d  |  d| d  | |d  |d   d| d  | |d   d| d  |d  |  d| d  | | |d   d| d  |d  |  d| d  |d  | |d   d| d  |d  |d  |  d| d  |d  |d  |d   d| d  |d  | | | |  d| d  |d  | |d   d| d  |d  |d  |  d| d  |d  |d  |d   d| d  |d  |d   d| d  | |d  | |  d| d  | |d  |d  |  d| d  | |d  | |d   d| d  | | |d  |  d| d  | | | |d   d| d  | |d    d!| d  | |d  |d   d"| d  | | |d  |  d| d  | |d   d#| d  |d  |d   d$| d  |d  |d  |  | d |d  |d   d%| d  |d  | |d   d&| d  |d  |d  |  d'| d  | |d  | |  d
| d  | | |d   d(| d  |d  |  d| d  |d  |d   d)| d  | |d   d*| d  |d  |d   d+|  |d  | |d   d,|  |d  | | |  d|  |d  |d   d-|  |d  |d  | |  d.|  |d  | |d  |  d|  |d  | | |d   d/|  |d  | |d   d#|  |d  |d  | |  d$|  |d  |d  |d   d|  |d  |d  |d  |  d0|  |d  | | |d   d'|  |d  | |d  |  d1|  |d  |d  | |  d|  |d  | |d   d2|  | |d  |d   d3|  | |d  | | |  d|  | |d  |d   d4|  | | |d  |  d|  | | |d  |d   d5|  | | |d   d,|  | |d  |  d6|  | | | |d   d|  | |d  |  d|  |d  | |  d|  |d  |d  |  d|  |d  | |d   d-|  |d  |d  |  d7|  |d  | |d   d|  | |d    d8|  | |d  |d   d|  | | |d  |  d|  | |d   d/|  |d  | |  d|  |d  |d   d9|  | |d   d:|d$  |d   d|d   | | |  d|d   |d  |  d|d   | |d   d|d  |d  | |  |d |d  |d   d;|d  | |d   d(|d  |d  |  d<|d  |d  |d   d4|d  | | | |  d|d  | |d   d=|d  |d  |  d|d  |d  |d   d>|d  |d   d|d  |d  | |  d|d  |d  |d  |  d|d  |d  | |d   d.|d  | |d  |  d8|d  | | |d   d|d  |d    d?|d  |d  |d   d!|d  | |d  |  d|d  |d   d@| |d  | |  d#| |d  |d  |  d| |d  |d   dA| |d  | |d   d%| |d  |d  |  d0| | |d  | |  d	| | | |d   d;| |d  |  d| |d  |d   dB| | |d   d)| |d  |d   dC|d  |d   d2|d  | | |  d<|d  |d  |  d|d  |d  |d   dD|d  |d   d+| |d  |  d5| | | |d   d| |d  |  d:|d$   d>|d  |d   d|d  |d  |  S )ENrV   r   r   rW   rX   rF   rO   r   rP   rQ   rR   rS   rT   rU   r>   r6   ie  r   iö	  rJ   r"   rK   rL   rM   rN   iÂ  r   r4   r   r(   i@  r   i˜  iT  r*   r   iÍ  i
  ié  éÚ   rÃ   i7  r#   rH   rI   r,   éd  i´	  iL  i{  ir  éT   rÄ   i(  i§
  éô  i¤  r-   i°  ri   r�   iÈ  ià  rm   i�  i¸  éÌ  é˜  r   r¾   r   r   r	   r
   ‡   sä  fÿÿÿþþþþýýýýüüüü"û"ûûú"úúú"ù"ùùøøøø	÷	÷	÷	÷
ö
ö
öõõõõôôôôóóóóòò"òòñññððððïïïïîîîîííííììììëëëëëêêêêééééèèèèççççææææååååääääããããââââáá
ááác                 C   sä!  d| d  |d  d| d  | | |d   d| d  | | |d   d| d  | |d	  |d	   d
| d  |d	  | |d	   d| d  | |d  |  d| d  |d   d| d  |d	  | |d   d| d  |d	  |d	  |d	   d| d  | |d	  |d   d| d  | | | | |d	   d| d  | | |d  |  d| d  | |d  |d	   d| d  | |d	  |d	  |  d| d  | | |d   d| d  | |d   d| d  |d  | |d	   d| d  |d	  |d	  |d	   d| d  |d	  | |d	  |  d| d  |d	  |d   d| d  | |d  | |  d| d  | |d	  |d   d| d  | | |d   d| d  |d  |  d| d  |d  |d	   d| d  |d	  |d   d| d  | |d	  |d	   d| d  |d  |  d 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|  |d	  |d   dL|  | |d  |d	   dx|  | |d  | | |  d4|  | |d  |d   dy|  | |d  |d  |  dM|  | |d  |d	  |d	   dz|  | |d  |d   dk|  | |d	  |d  |  d{|  | |d	  | | |d	   d:|  | |d	  |d  |  dI|  | | |d   d||  | | |d  |d	   dP|  | | |d	  |d	  |  d|  | | | |d   d}|  | | |d   dm|  | |d  | |  d!|  | |d  |d   d~|  | | | |d   d@|  | |d  |d	   d|  |d  | |  dT|  |d  |d	  |  dT|  |d  | |d	   dn|  |d  |d  |  d€|  |d  | |d	   d	|  |d  |d   d�|  |d  |d	  |d	   dV|  |d  | |d	  |  d|  |d  |d   do|  |d	  |d  | |  d#|  |d	  |d	  |d   d‚|  |d	  | |d   dƒ|  | |d  |  dC|  | |d  |d	   d„|  | |d	  |d   dZ|  | | |d	  |d	   d|  | |d  |  dg|  |d  |  dr|  |d  | |d	   d(|  |d	  |d  |  d|  | |d   d…|  | |d   d5|dc  | |d	   dI|dc  |d	  |  dI|d  |d	  |d	   dI|d  | | | |  d	|d  | |d   d†|d  |d   d	|d  |d  | |  dƒ|d  | | |d	   d‡|d  |d	  |d	   d|d  |d   dˆ|d  |d	  | |d	   d5|d  |d	  |d	  |  du|d  | |d	  | |  d-|d  | | |d   dI|d  |d  |d	   d‰|d  | |d   dd|d  |d	  |d	   dŠ|d  |d  |d	   dy|d  |d  | | |  d6|d  |d  |d   d5|d  |d	  |d	  |d	   d‹|d  |d	  |d   dI|d  | |d  |  d||d  | | | |d	   d<|d  | |d  |  dŒ|d  |d  |d	   dQ|d  |d	  |d	  |  d|d  | |d   d�|d  |d   dT|d	  |d  | |  dU|d	  |d  | |d	   d	|d	  |d  |d  |  d�|d	  |d  | |d	   dŽ|d	  |d	  |d	  |d	   dW|d	  |d	  | |d	  |  d|d	  |d	  |d   dp|d	  | |d  | |  d$|d	  | |d	  |d   d„|d	  | | |d   d‡|d	  |d  |  dD|d	  |d  |d	   d�|d	  |d	  |d   d[|d	  | |d	  |d	   d|d	  |d  |  d�| |d  | |d	   d]| |d  |d	  |  ds| |d  |d	  | |  d)| |d  | |d   dˆ| |d	  |d  |  dF| |d	  |d  |d	   d‘| |d	  | |d   d_| |d	  |d	  |d	   dh| | |d  |  dv| | |d	  | |d	   d/| | | |d  |  d| | |d   d5| |dc   d‰| |d  |d	   dJ| |d  |d	  |  d| |d	  |d   d’| | |d   de| |d	  |d   dL|d  | | |  d3|d  |d   dŠ|d  |d  |  dL|d  |d	  |d	   d“|d  |d   dj|d  |d  |  dz|d  | | |d	   d8|d  |d  |  dI|d	  |d   d‹|d	  |d  |d	   dO|d	  |d	  |d	  |  d|d	  | |d   d”|d	  |d   dl| |d  | |  d | |d  |d   d}| | | |d   d>| |d  |d	   d†|d  |  dB|d  |d	   d�|d  |d   dS|d	  |d	  |d	   d| |d  |  d•|d   d–|d   S )—NiËóÿÿr   r   ry   r   r   rW   rV   r   r‚   rƒ   r„   rk   rl   rr   rt   ru   rv   rw   rx   iäW  r}   r~   r   r7   r€   r6   r�   iÎ1  it  rQ   ra   rb   rc   rf   rg   rh   ri   rj   i
A  rn   ro   rp   rq   rs   r`   iÆ*  i  iD%  i8#  rz   r{   r   r|   re   ié  r(   i‹  iœ  iÒ
  i  i4ž  i’  i.Ñ  i
F  r   rZ   r[   r\   r]   r^   r_   r   i0  iN  rd   r   r,   i  i  i`  iü
  i¨“  rm   r*   i  i®  i$  i6  iÄ  i€�  i c  i–  iV  iî  iR  rY   i"  r   i  iØ½  i8  r    rS   r   rA   r>   i(  i 
  r3   iB  i`  iX  iˆz  rÈ   éØ   r¯   i¸˜  iÀ$  iz  r³   i<'  iÀ!  i   ip« iXE éQ   i~	  i  iàF  r/   i ƒ  iÀ/ r$   r8   i8  i€  r   é`  iÀ  i @  iH	  i   éD  i˜©  i N i�-  ià} r…   i€l r   r¾   r   r   r	   r
   §   sp  jÿÿÿÿ"þþ"þýý"ýüüü"ü"ûûûúúúúùùùù"øø&ø	&÷	&÷	÷
"ö
"ö
ö"õ"õ&õ"ôô"ôó"óó"òòòññññ"ððð"ïïïï"îîîîíííí"ì"ì"ìë&ë&ë&ê"êê"éé"é"è&è"è&ç*ç"ç"æ&æ"æ"å&ååää"ä"ãã"ã&â&ââ"á"áá à à "à!ß!ß!ß!"ß"Þ"Þ""Þ#Ý#"Ý#Ý$"Ü$Ü$Ü$Ü%Û%Û%Û%Û&Ú&Ú&Ú&Ú'Ù'Ù'Ù'"Ù(Ø(Ø("Ø(Ø)×)×)×)"×*Ö*"Ö*"Ö+"Õ+Õ+Õ,Ô,Ô,"Ô-"Ó-&Ó-"Ó.Ò."Ò.Ò/"Ñ/Ñ/"Ñ0Ð0Ð0Ð0Ð1Ï1Ï1"Ï2Î2Î2"Î3Í3Í3Í3"Í4Ì4Ì4Ì4Ì5Ë5Ë5Ë5Ë6Ê6Ê6Ê6Ê7É7É7É7É8È8È8È8È9Ç9Ç9Ç9Ç:Æ:Æ:Æ:Æ;Å;Å;Å;Å<Ä<Ä<Ä<Ä=Ã=Ã=Ã=Ã>Â>Â>Â>Â?Á?Á?Á?Á@"À@À@À@ÀA¿A¿A¿A¿B¾B¾B¾B¾C½C"½C"½D¼D¼D¼D¼E»E»E»E»FºFºFºFºG¹G¹G¹G¹H¸H¸H¸H¸I·I·I·I·I·J¶J¶J¶J¶KµKµKµKµL´L´L´L´M³M³M³M³N²N²N²N²O±O±O±O±P
°P
°c                 C   sXG  d| d  | |d  d| d  | | |d   d| d  | |d  |d   d| d  |d  |d   d	| d  | | | |d   d
| d  | |d  |d   d| d  |d  |d  |d   d| d  | |d  |  d| d  |d   d| d  |d   d| d  |d  | |d   d| d  |d  | | |d   d| d  |d  |d  |d   d| d  | |d  | |d   d| d  | | |d  |d   d| d  | | | |d  |d   d| d  | | |d  |  d| d  | |d  | |d   d| d  | |d  |d  |  d| d  | | |d   d| d  | | |d   d| d  |d  |d  |d   d| d  |d  |d  | |d   d| d  |d  | |d  |  d| d  |d  |d   d| d  | |d  |d   d| d  | |d  |d  |  d| d  | |d  |d   d | d  | | |d   d!| d  | |d  |d   d"| d  |d  | |  d#| d  |d  |d   d$| d  |d  | |d   d%| d  | |d  |d   d&| d  |d  |  d| d  |d  |d   d'| d  |d  | | |d   d(| d  |d  |d  |d   d)| d  |d  | |d  |d   d*| d  |d  |d  |  d| d  |d  |d  | |d   d+| d  |d  |d  |d  |d   d,| d  |d  | |d  | |d   d-| d  |d  | | |d  |  d| d  |d  | |d   d.| d  |d  |d  |d   d/| d  |d  |d  |d  |  d0| d  |d  |d  |d   d1| d  |d  | |d   d2| d  |d  |d  |d   d3| d  | |d  | | |d   d4| d  | |d  |d  |  d5| d  | |d  |d  |d   d6| d  | |d  |d  |d  |  d4| d  | |d  | |d   d7| d  | |d  |d   d8| d  | | |d  | |  d9| d  | | |d  |d   d:| d  | | | | |d   d;| d  | | |d  |d   d<| d  | |d  |  d| d  | |d  |d   d=| d  | |d  |d   d>| d  | |d  |d  |d   d?| d  | | |d  |  d| d  | |d   d@| d  | |d   dA| d  |d  | |d   dB| d  |d  |d  |d   dC| d  |d  | |d  |  dD| d  |d  |d   dE| d  |d  |d  | |  dF| d  |d  |d  |d   dG| d  |d  | |d   dE| d  |d  |d  |  dH| d  |d  |d  |d   dI| d  |d  |d  |d   dJ| d  |d  | |d  |d   dK| d  | |d  |  dL| d  | |d  | |d   dM| d  | |d  |d  |  d| d  | | |d   dN| d  | | |d   | d |dO   dP| d  |d  |d   dQ| d  |d  |d  |  d*| d  |d  |d   dR| d  |d  |d   dS| d  | |d  |d   dT| d  |d  |d   dU| d  |d  | |d   dV| d  |d  | | |d   dW| d  |d  | |d  |d   dX| d  |d  |d  | |d   dY| d  |d  | |d  |  d#| d  |d  |d   dZ| d  |d  |d  |d   d[| d  |d  |d  | | |d   d\| d  |d  |d  |d  |  d]| d  |d  | |d  |d   d^| d  |d  | |d  |d  |  d9| d  |d  | | |d   d_| d  |d  | |d   dE| d  |d  |d  | |  d| d  |d  |d  |d   d`| d  |d  | | |d   da| d  |d  |d  |d   db| d  |d  |d  | |d   dc| d  |d  |d  |d  |d   dd| d  |d  |d  | |d  |  dF| d  |d  |d  |d   de| d  |d  |d  |d  | |  df| d  |d  |d  |d  |d   dg| d  |d  |d  | |d   dh| d  |d  | |d  |  d| d  |d  | |d  |d   di| d  |d  | |d  |d   dj| d  |d  | | |d  |d   dM| d  |d  | |d  |  dk| d  |d  |d  | |d   dl| d  |d  |d  |d  |  d| d  |d  | |d   dm| d  |d  | |d   dn| d  | |d  | |d   do| d  | |d  |d  |  dp| d  | |d  |d  | |  dq| d  | |d  | |d   dr| d  | |d  |d  |  d3| d  | |d  |d  |d   ds| d  | |d  | |d   dt| d  | |d  |d  |d   | d | |d  |d  |  du| d  | |d  |d  | |d   dv| d  | |d  | |d  |  d| d  | |d  |d   dw| d  | | |d  |d   dx| d  | | |d  |d  |  d-| d  | | |d  |d   dy| d  | | | |d   dz| d  | | |d  |d   dF| d  | |d  | |  dY| d  | |d  |d   d{| d  | |d  | |d   d|| d  | | |d  |d   d%| d  | |d  |  d}| d  |d  |d   d~| d  |d  | | |  d| d  |d  |d   d| d  |d  |d  |  | d |d  |d  |d   d| d  |d  |d   d€| d  |d  | | |d   d�| d  |d  |d  |  d‚| d  |d  |d  |d   dƒ| d  |d  |d  |d  |  d4| d  |d  | |d   d„| d  |d  |d   d…| d  |d  |d  | |  d\| d  |d  |d  |d   d†| d  |d  | | |d   d‡| d  |d  |d  |d   dˆ| d  | |d  |  d‰| d  | |d  |d   dŠ| d  | |d  |d   d‹| d  | |d  |d  |d   d;| d  | | |d  |  d
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| | |d  |  dó| |d  |  d�| |d  |d   dù| |d  |d   d£| |d  |d  |d   d1| |d  |d  |  d| | |d   �d| | |d   dË| |d  |d   d}|d  |d   d}|d  |d  |d   d¥|d  |d  |  dã|d  | | |d   d|d  |d  |  |d |d   dú|d  |d  |d   d¦|d  |d  |d  |  �d|d  |d   dh|d  |d  | |  dZ|d  |d  |d   då|d  | | |d   d„|d  |d  |d   dô|d  |d  |  d’|d  |d  |d   dü|d  |d  |d   dª|d  |d  |d  |d   d7|d  | |d  |  d|d  |d   �d|d  |d   dÓ| |d  | |d   d_| |d  |d  |  d| |d  |d   dè| | | |d   dŒ| |d  |d   dÍ|d  |d   d•|d  |d  |  d|d  |d   dþ|d  |d   d¯|d  |d  |d   d@| |d  |d   d|d  |  �d|d   S (  NiaÛÿÿr   r   r…   r   r°   r   r   r¸   r¹   r»   r¼   r7   i±ž  r   r¤   r¥   r«   rW   rv   r¬   r­   r®   r¯   i¸ˆ  rµ   r¶   rG   rE   r·   r-   i‘P  ibC  rº   r   iO  il  i@  r˜   rJ   r™   rš   rŸ   r    r¡   rr   r¢   r£   iF  i:¶  r3   rx   r}   rª   i�'  r&   r—   i\�  ij	  r)   i®  i8'  i¨  i”v r²   r³   r´   r    r   r0   i}  rŽ   rK   rD   r   i  iZ  iL” r   iº  iÁ  ií iæ  i[  r‹   rO   r�   r�   rn   r>   r“   r”   r•   r–   i´-  ix(  iŒ,  r›   rœ   r�   rž   r(   i  r   iô.  iB  iÈ  iú  iÌn r¦   r§   r¨   r@   r©   i�  iø
  iì  i$#  i   rV   iÄ iqÙ  ip?  ir$  rm   r±   r   iw  i4  i›  é9   it  i#  iA(  ií  rz   r‰   i`,  iÁV  i€— i`X  i´± i>ä  r   r‡   r=   rˆ   rŠ   i¨	  r6   rŒ   r�   r,   iœ  iH  i  r‘   r’   iª  im  i”  iî  i@V  iæ  r*   iæ  i/  iÖ  i¶
  ièq  i  iÜy i8  iº!  i0 i_  i¿  ih  iå  iÆ-  éj   i,X  i¼"  r†   i€V  iX– iØ  iˆÎ i®› rd   rË   iì  ib"  r   iÓ,  éÞ   ix… iôÍ i<  ih  rÂ   i½  i@ú iP   r"   i�  r   ià  iì  ià  iÀ  i  i¹  r1   rÆ   i+  r2   iÀ9  iP,  iK rÎ   i¬/  i0  i   i` iàÿ rÊ   i  i`  iÜ¸ ip i@‹ ipE rÉ   iH�  rÇ   iXD  i0Û ið	  ià/ r½   i@© r$   r   r   i   iØ	  i  i`K  i°  ið  iÐ&  i   iÀr  rÍ   i0n i º i Ì i@¶  i€© i Ù r   r¾   r   r   r	   r
   ø   sü
  nÿÿ"ÿþþþþ"ý"ý"ý"ü&üü"û"ûûú"ú&ú"ùùù"øøø	÷	÷	÷	÷
ö
ö
ö
"ö"õ&õõ&ô*ô*ô&óó"ó&ò"òò"ñ&ñ"ñ&ð*ð"ðï"ï"ï"î"îîíí&íìììì"ë"ëë"ê"êêé"é"é&èè"è"çççææææåååä"ä&ä&ã"ãã"â*â&â&á*á"á à "à "à!"ß!"ß!&ß"*Þ"*Þ""Þ#*Ý#*Ý#&Ý$"Ü$&Ü$&Ü%*Û%"Û%&Û&&Ú&Ú&Ú'"Ù'"Ù'&Ù("Ø("Ø(&Ø)"×)&×)×**Ö*&Ö*Ö+"Õ+&Õ+"Õ,Ô,"Ô,Ô-Ó-"Ó-"Ó.Ò.Ò.Ò.Ò/Ñ/Ñ/Ñ/"Ñ0Ð0"Ð0&Ð1Ï1Ï1"Ï2"Î2"Î2"Î3Í3Í3Í4&Ì4Ì4Ì5Ë5Ë5Ë5Ë6Ê6Ê6Ê6Ê7"É7"É7&É8"È8"È8&È9Ç9Ç9&Ç:*Æ:*Æ:"Æ;&Å;&Å;"Å<Ä<"Ä<"Ä=&Ã=Ã=&Ã>&Â>*Â>&Â?&Á?*Á?&Á@*À@*À@&ÀA¿A"¿A&¿B"¾B¾B"¾C"½C&½C½D"¼D"¼D*¼E&»E*»E.»F&ºF"ºF&ºG&¹G&¹G&¹H¸H"¸H"¸I*·I"·I·J¶J"¶J&¶K&µKµK&µL&´L"´L"´M&³M&³M*³N"²N²N&²O&±O±O±P°P°P"°P°Q¯Q"¯Q¯R®R®R"®S­S­S"­T¬T"¬T¬U&«U"«U«VªV"ªV&ªW"©W©W"©X¨X¨X"¨Y"§Y§Y§Y§Z¦Z"¦Z¦[¥[¥[¥[¥\¤\"¤\"¤]"£]£]£]"£^"¢^&¢^¢_¡_"¡_"¡` ` ` ` aŸa&Ÿa"Ÿb"žb&žbžc�c�c�c�d"œd&œd&œe›e&›e&›f"šfšf"šg"™g&™g™h"˜h"˜h˜i—i"—i"—j&–j"–j"–k&•k"•k&•l"”l*”l&”m“m"“m&“n"’n’n"’o‘o‘o"‘p"�p�p�q�q�q"�q�rŽr"ŽrŽs"�s&�s�tŒt"Œt"Œu"‹u"‹u‹vŠvŠv&Šw‰w‰w‰w‰xˆxˆxˆy‡y‡y‡y‡z†z†z†z†{…{…{…{"…|„|„|"„}"ƒ}ƒ}ƒ~‚~‚~‚~‚���� € € € € € ÿ € ÿ € ÿ € ÿ € þ € þ € þ € þ € ý € ý € ý € ý € ü € ü € ü € ü € û "€ û "€ û € ú € ú € ú € ú € ù € ù € ù € ù 	€ ø 	€ ø 	"€ ø 	€ ø 
€ ÷ 
"€ ÷ 
€ ÷ "€ ö "€ ö € ö € õ € õ € õ € õ € ô € ô € ô € ô € ó € ó € ó "€ ó € ò "€ ò &€ ò € ñ € ñ € ñ € ñ € ð € ð € ð € ð € ï "€ ï € ï € î "€ î "€ î € î "€ í "€ í € í € ì "€ ì "€ ì &€ ë € ë € ë "€ ê "€ ê € ê € é € é € é € é € è € è € è € ç € ç € ç € ç € æ € æ € æ "€ æ € å € å € å "€ å € ä € ä € ä € ã € ã € ã € ã € â € â € â € â  € á  € á  € á  € á !€ à !€ à !€ à !€ à "€ ß "€ ß "€ ß "€ ß #€ Þ #€ Þ #€ Þ #€ Þ $€ Ý $€ Ý $€ Ý $€ Ý %€ Ü %"€ Ü %€ Ü &€ Û &€ Û &€ Û &€ Û '€ Ú '€ Ú '€ Ú '€ Ú (€ Ù (€ Ù (€ Ù (€ Ù )€ Ø )€ Ø )€ Øc                 C   s   | S r:   r   r¾   r   r   r	   r
   £  r   c                 C   s   |  | ||  d|  S )Nr*   r   r¾   r   r   r	   r
   ¤  r   c                 C   sH   | | | d|  | |  | |d   |d |  d| |  ||  S )Nr   r   r   r¾   r   r   r	   r
   ¥  r   c                 C   s°   | d | | | d |d   d|  | | |  | | | |  d|  | |  |d |  d| | |  ||d   d|d  |  d| | |  |d  d|d   S )Nr   r   r*   rm   r   r¾   r   r   r	   r
   ¦  s   ^ÿ
ÿÿÿÿ
ÿc                 C   s0  d| d  |d  d| d  | | |  d| d  | | |  | d | |d   | |d  | |  d|  | |d   d|  | | |  d|  |d  |  d|  | |d   d|d  | |  || | |  d| | |d   ||d  |  d| |d   d| | |  d|d   S )Nr   r   r   r-   r   r*   r   r¾   r   r   r	   r
   ¨  s,   jÿÿÿÿÿþþþþþ
þc                 C   sä  | d | |d  d| d  | | |  | d |d   | d |d  |d   | d | | | |  d| d  | |d   d| d  |d  |  d|  | | |d   d|  | |d   | |d  | |  d|  | |d  |  | | | |d   d|  | |d   d|d  |d   d|d  | | |  |d |d  |  d| | |d   d| |d  |  d|d  |d   d| | | |  ||d   d|d  |  |d |d   d	|d   S )
Nr   r   r   r-   r   r   r±   r3   rm   r   r¾   r   r   r	   r
   «  sL   jÿÿÿÿÿþþþþþýýýýý
üüü
üc                 C   sü  | d | |d  d| d  | | |d   | d | |d  |  | d |d  |d   d| d  |d   d| d  | | |d   d| d  | | |d   d| d  | |d  |  d| d  |d  | |  | d | |d   d|  |d  |d  |  d|  | |d  |d   | | | | | |  d|  | | |d   d|  | |d  |  | |d   d| | |d  |  d| | |d   d|d  |d   d|d  | | |  |d |d   d|d  |  S )	Nr   r   r   r*   r=   r   r   é'   r   r¾   r   r   r	   r
   °  sD   rÿÿÿÿþþþþýý
ýýýüüüüc                 C   sî  | d  | |d  | d | | |d   d| d  | |d   d| d  | | |d   d| d  |d  |  d| d  |d  |d   d| d  | | | |d   d| d  | |d  |d   | d | | |d  |  | d |d  | |d   d| d  | |d   d| d  |d  |d   d|  | | |d   d|  | | | |d   d|  | |d  |  d|  |d  | |d   d|  | |d  |d   d|  | | |d  |  | | |d   d	|  | |d   d|d  | | |d   d|d  | |d  |  d| |d  | |d   ||d  |d  |  d| |d  |d   d
|d  |d   d| | | |d   d| |d  |  d|d  |d  |  ||d   S )Nr   r   r   r   r   r   r   r   r   r±   r   r¾   r   r   r	   r
   µ  sd   xÿÿÿÿþþþþýýýýüüüüüûûûûûúú
úc                 C   s†  | d  | |d  d| d  | |d   d| d  | |d  |d   d| d  |d  |d   | d | | | |d   d| d  |d   d| d  | | |d   d| d  | | |d   d| d  | |d  |d   d| d  |d  | |d   d| d  | |d  |  d|  |d  |d  |d   d|  | |d  |d   d|  | | | | |d   | | | |d  |  | |d  | |d   d|  | | |d   d|  | |d  |d   d|  |d  |  d| | |d  |d   ||d   d|d  |d   d|d  | | |d   d|d  |d  |  d|d  |d   S )	Nr   r   r   r   r   r-   r   r   r   r¾   r   r   r	   r
   ¼  sT   hÿÿÿÿþþþþýýýýüüüü
ûûûûûc                 C   s  | d |d  d| d  | |d   d| d  | | |d   | d |d  |d   d| d  | |d   d| d  | | |d   d| d  |d  |d   d| d  | | | |d   d| d  | | |d  |d   d| d  |d  | |d   | d |d  |d  |d   d|  | |d  |d   d|  |d  | |d   d|  | | |d  |d   d|  | |d  |  |d |d  |  d| |d  |d  |d   |d |d   d| |d  |d   d| |d  |  |d  S )Nr   r   r   r   r   r   r   r¾   r   r   r	   r
   Â  s@   rÿÿÿ"ÿþþþþýýýýüüüü))r   é    )r   é   )r   rÔ   )r   rÔ   )r   r   N)Ú__doc__Zresolvent_coeff_lambdasr   r   r   r	   Ú<module>   sV   îý
ØM Q€ þ  /à€ € € å