Hi all,
I attempted to solve a system of equations today. I am wondering if this is
a bug. When I run the following code from SageCell
<https://sagecell.sagemath.org/?z=eJx9js0OgyAQhO8mvMPeALsXq1eexGhCUtISBSxYA29fUZP-Jd3T5NvZ2YmYcBCL9IzGLCknhQzhYRSLSL2S4xtJP2R4kclrO7ONT7N2NjC-UlKouw0goG3KCELAUK6ir5EUcEx1LtO-yepjFfsGTlCvtMmOqsuB-6PgxkWxHI7QbtU7lOPVeT3fjKAhmSlRvDgjtRVHSf7v-Mv6BE8YUis=&lang=sage&interacts=eJyLjgUAARUAuQ==>,
I get complex solutions despite explicitly assuming x,y,k are real and
specifying the domain to be 'real':
x,y,k=var('x,y,k')
assume(x,'real')
assume(y,'real')
assume(k,'real')
print(assumptions())
eqns = [4*x == k*4*x^3,
12*y == k*12*y^3,
x^4 + 3*y^4 == 1]
print(solve(eqns, [x,y,k],algorithm='sympy',domain='real'))
print(solve(eqns, [x,y,k],domain='real'))
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