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lines changed Original file line number Diff line number Diff line change 37
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We next make an extension of the above function field, illustrating
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that arithmetic with a tower of three fields is fully supported::
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- sage: S.<t> = L[] # optional - sage.rings.finite_rings
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+ sage: S.<t> = L[] # optional - sage.rings.finite_rings sage.rings.function_field
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sage: M.<t> = L.extension(t^2 - x*y) # optional - sage.rings.finite_rings sage.rings.function_field
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sage: M # optional - sage.rings.finite_rings sage.rings.function_field
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Function field in t defined by t^2 + 4*x*y
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sage: TestSuite(J).run() # optional - sage.rings.finite_rings
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sage: TestSuite(K).run(max_runs=256) # long time (10s) # optional - sage.rings.number_field
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sage: TestSuite(L).run(max_runs=8) # long time (25s) # optional - sage.rings.function_field sage.rings.number_field
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- sage: TestSuite(M).run(max_runs=8) # long time (35s)
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- sage: TestSuite(N).run(max_runs=8, skip = '_test_derivation') # long time (15s)
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+ sage: TestSuite(M).run(max_runs=8) # long time (35s) # optional - sage.rings.finite_rings sage.rings.function_field
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+ sage: TestSuite(N).run(max_runs=8, skip= '_test_derivation') # long time (15s) # optional - sage.rings.finite_rings
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sage: TestSuite(O).run() # optional - sage.rings.function_field sage.rings.number_field
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sage: TestSuite(R).run()
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sage: TestSuite(S).run() # long time (4s) # optional - sage.rings.finite_rings sage.rings.function_field
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sage: v = K.valuation(x^2 + 1)
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sage: L.<x> = FunctionField(GaussianIntegers().fraction_field())
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sage: ws = v.extensions(L) # optional - sage.rings.function_field
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- sage: for w in ws: TestSuite(w).run(max_runs=100) # long time
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+ sage: for w in ws: TestSuite(w).run(max_runs=100) # long time # optional - sage.rings.function_field
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Run test suite for a finite place with residual degree and ramification::
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