p-Adic Extension Leaves¶

The final classes for extensions of Zp and Qp (ie classes that are not just designed to be inherited from).

AUTHORS:

David Roe

class sage.rings.padics.padic_extension_leaves.EisensteinExtensionFieldCappedRelative(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='NTL')¶: Bases: sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric, sage.rings.padics.generic_nodes.pAdicCappedRelativeFieldGeneric

class sage.rings.padics.padic_extension_leaves.EisensteinExtensionRingCappedAbsolute(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation)¶: Bases: sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric, sage.rings.padics.generic_nodes.pAdicCappedAbsoluteRingGeneric

class sage.rings.padics.padic_extension_leaves.EisensteinExtensionRingCappedRelative(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='NTL')¶: Bases: sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric, sage.rings.padics.generic_nodes.pAdicCappedRelativeRingGeneric

class sage.rings.padics.padic_extension_leaves.EisensteinExtensionRingFixedMod(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='NTL')¶: Bases: sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric, sage.rings.padics.generic_nodes.pAdicFixedModRingGeneric

class sage.rings.padics.padic_extension_leaves.UnramifiedExtensionFieldCappedRelative(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='FLINT')¶: Bases: sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric, sage.rings.padics.generic_nodes.pAdicCappedRelativeFieldGeneric

class sage.rings.padics.padic_extension_leaves.UnramifiedExtensionFieldFloatingPoint(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='FLINT')¶: Bases: sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric, sage.rings.padics.generic_nodes.pAdicFloatingPointFieldGeneric

class sage.rings.padics.padic_extension_leaves.UnramifiedExtensionRingCappedAbsolute(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='FLINT')¶: Bases: sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric, sage.rings.padics.generic_nodes.pAdicCappedAbsoluteRingGeneric

class sage.rings.padics.padic_extension_leaves.UnramifiedExtensionRingCappedRelative(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='FLINT')¶: Bases: sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric, sage.rings.padics.generic_nodes.pAdicCappedRelativeRingGeneric

class sage.rings.padics.padic_extension_leaves.UnramifiedExtensionRingFixedMod(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='FLINT')¶: Bases: sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric, sage.rings.padics.generic_nodes.pAdicFixedModRingGeneric

class sage.rings.padics.padic_extension_leaves.UnramifiedExtensionRingFloatingPoint(prepoly, poly, prec, halt, print_mode, shift_seed, names, implementation='FLINT')¶: Bases: sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric, sage.rings.padics.generic_nodes.pAdicFloatingPointRingGeneric