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D.4.3.2 assPrimes

Procedure from library assprimeszerodim.lib (see assprimeszerodim_lib).

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

Return:
a list of the associated primes of I

Note:
A final test is applied to the result if exactness != 0 (default), otherwise no final test is done.

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]=49a-75b-94c+11d+94e+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]=-61386ac-39066ad-57966bd-6840d2-25380ae-36096be-67422ce+28254de+\
   9633e2+6498af-14856bf+21486cf-33684df-41736ef-26505f2+3087a-4725b-36615c-\
   18840d-6768e+3312f+12511
==> [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]=-184158ac-117198ad-173898bd-20520d2-76140ae-108288be-202266ce+84\
   762de+28899e2+19494af-44568bf+64458cf-101052df-125208ef-79515f2+7203a-110\
   25b-105897c-56982d-24252e+9894f+36112
==> [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]=-61386ac-39066ad-57966bd-6840d2-25380ae-36096be-67422ce+28254de+\
   9633e2+6498af-14856bf+21486cf-33684df-41736ef-26505f2-3087a+4725b-24771c-\
   20226d-18612e+3186f+2032
==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2-858\
   48a+131400b-203628c-253668d-316968e+37236f+52273
==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2+858\
   48a-131400b-533004c-215124d+12408e+40740f+138121
==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2-376\
   32a+57600b-296124c-242844d-224472e+38220f+16297
==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2+940\
   80a-144000b-548796c-213276d+28200e+40908f+146521
==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2+376\
   32a-57600b-440508c-225948d-80088e+39756f+53929
==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2-364\
   56a+55800b-298380c-242580d-222216e+38244f+16633
==> [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
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==>    _[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
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==> [12]:
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==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
==>    _[5]=ab+de+cf+1/2b
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==>    _[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
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==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
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==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
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==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
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==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
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==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
==>    _[34]=df5+5/36d2f2+5/36bf3+1/324bd-5/432f2
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==> [13]:
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==>    _[3]=bc+ad+ef+1/2d
==>    _[4]=b2+2ac+e2+2df+c
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==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
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==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
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==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
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==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==> [14]:
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==>    _[3]=bc+ad+ef+1/2d
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==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
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==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
==>    _[11]=d3-3be2-6aef-f3-3ef-1/4d
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==>    _[13]=ad2+2ace+e3+4def+cf2+1/2d2+ce
==>    _[14]=e3f+3def2+cf3+1/36be+1/12af+1/24f
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==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
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==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
==>    _[22]=ae3-3acf2-2df3+1/2e3-3/2cf2+1/18ce-1/9bf
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==>    _[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
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==>    _[31]=adf3+1/2ef4+1/2df3-1/36ace-1/72e3-1/36def+1/36cf2-1/72ce
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==>    _[33]=ef5+5/36def2+5/36cf3-1/1296be+5/1296af+5/2592f
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==> [15]:
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==> [16]:
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
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==> [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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
   39048de+115596e2+77976af-178272bf+257832cf-404208df-500832ef-318060f2-294\
   00a+45000b-311916c-240996d-208680e+38388f+18817
==> [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]=-61386ac-39066ad-57966bd-6840d2-25380ae-36096be-67422ce+28254de+\
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   18840d-6768e+3312f+5119
==> [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
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==>    _[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
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==>    _[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]=-736632ac-468792ad-695592bd-82080d2-304560ae-433152be-809064ce+3\
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   92a-30600b-406668c-229908d-113928e+39396f+85033
==> [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
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==>    _[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
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==>    _[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]=-81848ac-52088ad-77288bd-9120d2-33840ae-48128be-89896ce+37672de+\
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==> [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
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==>    _[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
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==>    _[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
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==>    _[20]=ce3-3aef2-1/2f4-3/2ef2-1/36ac-1/8e2-1/9df-1/72c
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==>    _[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]=-184158ac-117198ad-173898bd-20520d2-76140ae-108288be-202266ce+84\
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   25b-78261c-60216d-51888e+9600f+28909
==> [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
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==>    _[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
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==>    _[21]=be3-3adf2-2ef3-3/2df2-5/36cf
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==>    _[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
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==>    _[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
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==>    _[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
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==> [23]:
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==>    _[8]=d2e+ce2-af2-1/2f2-1/9e
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==>    _[10]=ade+acf+e2f+df2+1/2de+1/2cf+1/18b
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==>    _[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
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==>    _[17]=ae2f+adf2+ef3+1/2e2f+1/2df2+1/36de+1/18cf
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==>    _[24]=e2f3+1/2df4+1/72d2f+1/18cef+5/72bf2-13/2592f
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==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
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==>    _[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
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==> [24]:
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==> [25]:
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==>    _[28]=aef3+1/5f5+1/2ef3+1/36acf+1/36e2f+1/18df2+1/72cf+1/1620b
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==>    _[37]=af5+1/2f5+5/36adf2+5/36ef3+5/72df2+1/1296de+1/216cf
==>    _[38]=f7+35/72df4+35/2592d2f+7/288bf2-5/3456f
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==>    _[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]=147a-225b-282c+33d+282e+3f+56
==> [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]=147a-225b-282c+33d+282e+3f+154
==> [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]=49a-75b-94c+11d+94e+f+49
==> [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]=147a-225b-282c+33d+282e+3f+91
==> [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]=147a-225b-282c+33d+282e+3f+97
==> [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]=147a-225b-282c+33d+282e+3f+98
==> [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]=49a-75b-94c+11d+94e+f+30
==> [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]=49a-75b-94c+11d+94e+f+19
==> [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]=49a-75b-94c+11d+94e+f-2
==> [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]=147a-225b-282c+33d+282e+3f+50
==> [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]=147a-225b-282c+33d+282e+3f+49
==> [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]=147a-225b-282c+33d+282e+3f+146
==> [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]=147a-225b-282c+33d+282e+3f+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]=147a-225b-282c+33d+282e+3f-7

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