Top
Back: zeroRadical
Forward: cisimplicial_lib
FastBack: algebra_lib
FastForward: cisimplicial_lib
Up: assprimeszerodim_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.4.3.2 assPrimes

Procedure from library assprimeszerodim.lib (see assprimeszerodim_lib).

Usage:
assPrimes(I,[n],[a]); 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]

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]=4a+11b-33c-82d+32e+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]=-6072ac+840ad-47784bd+80496d2-23064ae-56496be-25728ce-64032de+10\
   836e2-64848af-120bf-1848cf-4872df+9480ef-13056f2-48a-132b-2640c+1404d-119\
   16e-32436f+127
==> [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]=-2024ac+280ad-15928bd+26832d2-7688ae-18832be-8576ce-21344de+3612\
   e2-21616af-40bf-616cf-1624df+3160ef-4352f2+120a+330b-2002c-2320d-2884e-10\
   778f+601
==> [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]=-4554ac+630ad-35838bd+60372d2-17298ae-42372be-19296ce-48024de+81\
   27e2-48636af-90bf-1386cf-3654df+7110ef-9792f2+840a+2310b-9207c-16905d-192\
   9e-24108f+1756
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-3864a-10626b+22\
   770c+80472d-65508e-98238f+6961
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+7368a+20262b-69\
   894c-149784d+24348e-95430f+29659
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-4296a-11814b+26\
   334c+89328d-68964e-98346f+10225
==> [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]=-4554ac+630ad-35838bd+60372d2-17298ae-42372be-19296ce-48024de+81\
   27e2-48636af-90bf-1386cf-3654df+7110ef-9792f2-840a-2310b+4653c+17535d-153\
   69e-24528f+916
==> [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]=-6072ac+840ad-47784bd+80496d2-23064ae-56496be-25728ce-64032de+10\
   836e2-64848af-120bf-1848cf-4872df+9480ef-13056f2+216a+594b-4818c-4008d-98\
   04e-32370f+973
==> [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]=-1518ac+210ad-11946bd+20124d2-5766ae-14124be-6432ce-16008de+2709\
   e2-16212af-30bf-462cf-1218df+2370ef-3264f2-12a-33b-660c+351d-2979e-8109f+\
   1063
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+3864a+10626b-40\
   986c-77952d-3684e-96306f+10825
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+4296a+11814b-44\
   550c-86808d-228e-96198f+14521
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-7368a-20262b+51\
   678c+152304d-93540e-99114f+22291
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+4152a+11418b-43\
   362c-83856d-1380e-96234f+11971
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+3360a+9240b-368\
   28c-67620d-7716e-96432f+19399
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+4584a+12606b-46\
   926c-92712d+2076e-96126f+15775
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-7800a-21450b+55\
   242c+161160d-96996e-99222f+26869
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-3360a-9240b+186\
   12c+70140d-61476e-98112f+16039
==> [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]=-2024ac+280ad-15928bd+26832d2-7688ae-18832be-8576ce-21344de+3612\
   e2-21616af-40bf-616cf-1624df+3160ef-4352f2-120a-330b-22c+2600d-4804e-1083\
   8f+481
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2+7800a+21450b-73\
   458c-158640d+27804e-95322f+34669
==> [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]=-6072ac+840ad-47784bd+80496d2-23064ae-56496be-25728ce-64032de+10\
   836e2-64848af-120bf-1848cf-4872df+9480ef-13056f2+48a+132b-3432c-564d-1114\
   8e-32412f+175
==> [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]=-1518ac+210ad-11946bd+20124d2-5766ae-14124be-6432ce-16008de+2709\
   e2-16212af-30bf-462cf-1218df+2370ef-3264f2+12a+33b-858c-141d-2787e-8103f+\
   1075
==> [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]=-6072ac+840ad-47784bd+80496d2-23064ae-56496be-25728ce-64032de+10\
   836e2-64848af-120bf-1848cf-4872df+9480ef-13056f2-216a-594b-1254c+4848d-13\
   260e-32478f+757
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-4152a-11418b+25\
   146c+86376d-67812e-98310f+7819
==> [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]=-18216ac+2520ad-143352bd+241488d2-69192ae-169488be-77184ce-19209\
   6de+32508e2-194544af-360bf-5544cf-14616df+28440ef-39168f2-4584a-12606b+28\
   710c+95232d-71268e-98418f+11191
==> [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]=12a+33b-99c-246d+96e+3f+59
==> [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]=4a+11b-33c-82d+32e+f-39
==> [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]=24a+66b-198c-492d+192e+6f+91
==> [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]=24a+66b-198c-492d+192e+6f-167
==> [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]=12a+33b-99c-246d+96e+3f-47
==> [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]=24a+66b-198c-492d+192e+6f+185
==> [32]:
==>    _[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]=24a+66b-198c-492d+192e+6f+191
==> [33]:
==>    _[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]=24a+66b-198c-492d+192e+6f-49
==> [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]=24a+66b-198c-492d+192e+6f-161
==> [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]=4a+11b-33c-82d+32e+f+43
==> [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]=4a+11b-33c-82d+32e+f+3
==> [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]=24a+66b-198c-492d+192e+6f+73
==> [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]=24a+66b-198c-492d+192e+6f-67
==> [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]=4a+11b-33c-82d+32e+f+1
==> [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]=4a+11b-33c-82d+32e+f+4

Top Back: zeroRadical Forward: cisimplicial_lib FastBack: algebra_lib FastForward: cisimplicial_lib Up: assprimeszerodim_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4-0-0, 2013, generated by texi2html.