I am able to, in wolfram alpha, plug in the equation
11=x*(y^119)^149mod151
where all numbers are in Z_151
and wolfram is able to give me a set of non-zero solutions (x,y) that I think satisfy (11*y^119, y)
I have tried using symbolic equations and the sage quickstart for number theory to replicate this functionality, but I am getting stuck on some integer conversion TypeErrors in sage.
I have tried to set it up like:
x,y = var('x,y');
qe=(mod(x*(y^119)^149,151)==mod(11,151))
Can someone help me set up this equation, and then solve for all possible non-zero solutions?
THanks!
