The belows are supplementary data for the preprint 
``An affirmative answer to a conjecture for Metoki class'' 
 On Feb 05, 2014, we change the notations we have used as 
the old ham_{2}^{0} is new ham_{2}, and 
the old ham_{2}^{1} is new ham_{2}^{0}. 
So, type 0 or t0 correspont to the new ham_{2} and 
     type 1 or t1 correspont to the new  ham_{2}^{0}.  
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 A proof to Kotschick-Morita thereom for G-K-F class 
[Preprint of another proof by Groebner Basis theory for 
Kotschick-Morita thereom of Gel'fand-Kalinin-Fuks class 
(Feb 13, 2014)] 
 
  
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 Basis of type 1 weight 10 degree 4 Cochain complex  
(Feb 05, 2014) 
 
  
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 Basis of type 1 weight 10 degree 5 Cochain complex  
(Feb 05, 2014) 
 
  
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 Basis of type 1 weight 10 degree 6 Cochain complex  
(Feb 05, 2014) 
 
  
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 Basis of type 1 weight 10 degree 5 Cohomology group by Risa/Asir 
(Feb 09, 2014) 
 
  
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 Basis of type 0 weight 8 degree 6 Cochain complex  
(Feb 05, 2014) 
 
  
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 Basis of type 0 weight 8 degree 7 Cochain complex  
(Feb 05, 2014) 
 
  
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 Basis of type 0 weight 8 degree 8 Cochain complex  
(Feb 05, 2014) 
 
  
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 Basis of type 0 weight 8 degree 7 Cohomology group by Risa/Asir 
(Feb 10, 2014) 
 
  
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A proof to a Kotschick-Morita theorem by Risa/Asir [
A proof to a Kotschick-Morita theorem  
by Groebner Basis Theory of Risa/Asir (Feb 10, 2014)] 
 
  
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 Basis of type 1 weight 16 degree 6 Cochain complex   
  
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 Basis of type 1 weight 16 degree 7 Cochain complex   
  
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 Basis of type 1 weight 16 degree 8 Cochain complex   
  
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 Matrix representation of d_{1} : C^{6} --> C^{7}   
  
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 Dual matrix representation of d_{1} : C^{7} --> C^{8}   
  
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 Basis of type 0 weight 14 degree 8 Cochain complex   
  
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 Basis of type 0 weight 14 degree 9 Cochain complex   
  
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 Matrix representation of d_{0} : C^{8} --> C^{9}   
  
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 Groebner basis corresponding to d_{1}( C^{6}_{16} )  
  
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 Groebner basis corresponding to Ker(d_{1}: C^{7}_{16} --> C^{8}_{16} )  
  
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 Groebner basis corresponding to d_{0}( C^{8}_{14} )  
  
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 Results by Risa/Asir for wt=16 type1 C^{6} -> C^{7} -> C^{8} (Feb 13, revised July 01, 2014)   
  
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 Proof by Risa/Asir to a conjecture for Metoki class [Computation by Risa/Asir for proof to Morita conjecture about Metoki class (Feb 13, revised July 01, 2014)]