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D.4.3.2 assPrimes

Procedure from library assprimeszerodim.lib (see assprimeszerodim_lib).

Usage:
assPrimes(I,[a],[n]); I ideal or module,
optional: int n: number of processors (for parallel computing), int a: - a = 1: method of Eisenbud/Hunecke/Vasconcelos
- a = 2: method of Gianni/Trager/Zacharias
- a = 3: method of Monico
assPrimes(I) chooses n = a = 1

Assume:
I is zero-dimensional over Q[variables]

Note:
Parallelization is just applicable using 32-bit Singular version since MP-links are not compatible with 64-bit Singular version.

Return:
a list Re of associated primes of I:

Example:
 
LIB "assprimeszerodim.lib";
ring R=0,(a,b,c,d,e,f),dp;
ideal I=
2fb+2ec+d2+a2+a,
2fc+2ed+2ba+b,
2fd+e2+2ca+c+b2,
2fe+2da+d+2cb,
f2+2ea+e+2db+c2,
2fa+f+2eb+2dc;
assPrimes(I);
==> [1]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=45a-67b-37c+59d-17e+f
==> [2]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+21195a-31557b-72\
   813c+29373d-27213e+20523f+22768
==> [3]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+1485a-2211b-5660\
   7c+3531d-19767e+20085f+5761
==> [4]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-3915a+5829b-5216\
   7c-3549d-17727e+19965f+3241
==> [5]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-12308ac+352ad-10644bd+1456d2-4268ae+6644be-2792ce+4024de-4200e2\
   +4456af-4184bf+5956cf-8860df-4992ef-1368f2-405a+603b-5821c-355d-1981e+221\
   9f+372
==> [6]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-36924ac+1056ad-31932bd+4368d2-12804ae+19932be-8376ce+12072de-12\
   600e2+13368af-12552bf+17868cf-26580df-14976ef-4104f2+405a-603b-18795c+105\
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==> [7]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-945a+1407b-54609\
   c+345d-18849e+20031f+7564
==> [8]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+23355a-34773b-74\
   589c+32205d-28029e+20571f+25168
==> [9]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-36924ac+1056ad-31932bd+4368d2-12804ae+19932be-8376ce+12072de-12\
   600e2+13368af-12552bf+17868cf-26580df-14976ef-4104f2+7695a-11457b-24789c+\
   10617d-9309e+6855f+8287
==> [10]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-1755a+2613b-5394\
   3c-717d-18543e+20013f+4153
==> [11]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-36924ac+1056ad-31932bd+4368d2-12804ae+19932be-8376ce+12072de-12\
   600e2+13368af-12552bf+17868cf-26580df-14976ef-4104f2-405a+603b-18129c-3d-\
   6249e+6675f+1423
==> [12]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-23355a+34773b-36\
   183c-29037d-10383e+19533f+1813
==> [13]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-12308ac+352ad-10644bd+1456d2-4268ae+6644be-2792ce+4024de-4200e2\
   +4456af-4184bf+5956cf-8860df-4992ef-1368f2+405a-603b-6487c+707d-2287e+223\
   7f+777
==> [14]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-20925a+31155b-38\
   181c-25851d-11301e+19587f+1552
==> [15]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-36924ac+1056ad-31932bd+4368d2-12804ae+19932be-8376ce+12072de-12\
   600e2+13368af-12552bf+17868cf-26580df-14976ef-4104f2-7695a+11457b-12135c-\
   9561d-3495e+6513f+592
==> [16]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+1755a-2613b-5682\
   9c+3885d-19869e+20091f+5908
==> [17]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+945a-1407b-56163\
   c+2823d-19563e+20073f+8509
==> [18]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-36924ac+1056ad-31932bd+4368d2-12804ae+19932be-8376ce+12072de-12\
   600e2+13368af-12552bf+17868cf-26580df-14976ef-4104f2+405a-603b-18795c+105\
   9d-6555e+6693f+2884
==> [19]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+945a-1407b-56163\
   c+2823d-19563e+20073f+5341
==> [20]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-1485a+2211b-5416\
   5c-363d-18645e+20019f+4276
==> [21]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+20925a-31155b-72\
   591c+29019d-27111e+20517f+22477
==> [22]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-36924ac+1056ad-31932bd+4368d2-12804ae+19932be-8376ce+12072de-12\
   600e2+13368af-12552bf+17868cf-26580df-14976ef-4104f2-405a+603b-18129c-3d-\
   6249e+6675f+2479
==> [23]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-21195a+31557b-37\
   959c-26205d-11199e+19581f+1573
==> [24]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2-945a+1407b-54609\
   c+345d-18849e+20031f+4396
==> [25]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=-110772ac+3168ad-95796bd+13104d2-38412ae+59796be-25128ce+36216de\
   -37800e2+40104af-37656bf+53604cf-79740df-44928ef-12312f2+3915a-5829b-5860\
   5c+6717d-20685e+20139f+7156
==> [26]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f-8
==> [27]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=45a-67b-37c+59d-17e+f-3
==> [28]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f+136
==> [29]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f+143
==> [30]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=45a-67b-37c+59d-17e+f+52
==> [31]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=45a-67b-37c+59d-17e+f+45
==> [32]:
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==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
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==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f+163
==> [33]:
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==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
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==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f-29
==> [34]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=45a-67b-37c+59d-17e+f-7
==> [35]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f-1
==> [36]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=45a-67b-37c+59d-17e+f+48
==> [37]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f+155
==> [38]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f-20
==> [39]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f+164
==> [40]:
==>    _[1]=cd+be+af+1/2f
==>    _[2]=c2+2bd+2ae+f2+e
==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
==>    _[6]=a2+d2+2ce+2bf+a
==>    _[7]=de2+d2f+2cef+bf2-5/36f
==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
==>    _[9]=bde+ae2+adf+ef2+1/2e2+1/2df+1/18c
==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
==>    _[12]=bd2-2acf-e2f-df2-cf-1/12b
==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
==>    _[15]=ce2f+bef2-1/36ad-1/9ef-1/72d
==>    _[16]=be2f+bdf2+2aef2+1/2f4+ef2-1/36ac-1/72e2-1/72c
==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
==>    _[18]=acef+1/2cef-1/36af-1/72f
==>    _[19]=e4-6d2f2-12cef2-8bf3+1/18bd+2/9ae+13/12f2+1/9e
==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
==>    _[23]=ace2+d2f2+3cef2+2bf3+1/2ce2-1/18bd-1/9ae-5/18f2-1/18e
==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
==>    _[25]=def3+1/2cf4-1/72ce2-1/36bef+1/36af2+1/72f2+1/648e
==>    _[26]=cef3+1/2bf4-1/72be2-1/18bdf-1/18aef-1/12f3-1/36ef
==>    _[27]=bef3+1/2af4+1/4f4-1/72ae2-1/36adf-1/18ef2-1/144e2-1/72df-1/1296c
==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
==>    _[29]=d2f3+1/2bf4+1/24be2+1/9bdf+1/12aef-1/36f3+1/24ef
==>    _[30]=bdf3+1/5f5-1/18acf-1/36e2f-1/12df2-1/36cf-1/1080b
==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
==>    _[32]=acf3+1/2df4+1/2cf3-1/72d2f-1/36cef+1/72bf2+5/2592f
==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
==>    _[35]=cf5-5/36bef2+1/1296ad+1/216ef+1/2592d
==>    _[36]=bf5+5/36bdf2-5/72f4-1/432ac-1/864e2-1/162df-1/864c
==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
==>    _[39]=135a-201b-111c+177d-51e+3f-28

Top Back: zeroRadical Forward: cimonom_lib FastBack: algebra_lib FastForward: cimonom_lib Up: assprimeszerodim_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 3-1-2, Oct 2010, generated by texi2html.