CoCalc -- 2018-05-02-nemo.ipynb

Kernel: Julia

Illustration of how NEMO does not implement / at all for the integers modulo $N$ for a sage-devel discussion...

(This uses the Julia kernel.)

In [1]:

using Nemo

Welcome to Nemo version 0.7.3

WARNING: Compat.UTF8String is deprecated, use String instead.
  likely near /ext/julia/julia/share/julia/site/v0.6/IJulia/src/kernel.jl:31
WARNING: Compat.UTF8String is deprecated, use String instead.
  likely near /ext/julia/julia/share/julia/site/v0.6/IJulia/src/kernel.jl:31
WARNING: Compat.UTF8String is deprecated, use String instead.
  likely near /ext/julia/julia/share/julia/site/v0.6/IJulia/src/kernel.jl:31
WARNING: Compat.UTF8String is deprecated, use String instead.
  likely near /ext/julia/julia/share/julia/site/v0.6/IJulia/src/kernel.jl:31
WARNING: Compat.UTF8String is deprecated, use String instead.
  likely near /ext/julia/julia/share/julia/site/v0.6/IJulia/src/kernel.jl:31

Nemo comes with absolutely no warranty whatsoever

In [3]:

R = ResidueRing(ZZ, 6)

Integers modulo 6

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a = R(5)

5

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b = R(7)

1

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c = a*b

5

In [7]:

c/a

MethodError: no method matching /(::Nemo.nmod, ::Nemo.nmod)

Stacktrace:
 [1] include_string(::String, ::String) at ./loading.jl:522

In [8]:

c/b

MethodError: no method matching /(::Nemo.nmod, ::Nemo.nmod)

Stacktrace:
 [1] include_string(::String, ::String) at ./loading.jl:522

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