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Sage Reference Manual v4.1.1
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Global Module Index
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dsage
dsage.dsage
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sage
sage.algebras.free_algebra
sage.algebras.free_algebra_element
sage.algebras.free_algebra_quotient
sage.algebras.free_algebra_quotient_element
sage.algebras.quatalg.quaternion_algebra
sage.algebras.quatalg.quaternion_algebra_element
sage.algebras.steenrod_algebra
sage.algebras.steenrod_algebra_bases
sage.algebras.steenrod_algebra_element
sage.calculus.calculus
sage.calculus.functional
sage.calculus.test_sympy
sage.calculus.tests
sage.calculus.wester
sage.categories.category
sage.categories.functor
sage.categories.homset
sage.categories.morphism
sage.coding.code_bounds
sage.coding.code_constructions
sage.coding.linear_code
sage.coding.sd_codes
sage.combinat.alternating_sign_matrix
sage.combinat.backtrack
sage.combinat.cartesian_product
sage.combinat.choose_nk
sage.combinat.combinat
sage.combinat.combination
sage.combinat.combinatorial_algebra
sage.combinat.composition
sage.combinat.composition_signed
sage.combinat.crystals.crystals
sage.combinat.crystals.fast_crystals
sage.combinat.crystals.letters
sage.combinat.crystals.spins
sage.combinat.crystals.tensor_product
sage.combinat.designs.block_design
sage.combinat.designs.ext_rep
sage.combinat.designs.incidence_structures
sage.combinat.dlx
sage.combinat.dyck_word
sage.combinat.expnums
sage.combinat.finite_class
sage.combinat.free_module
sage.combinat.generator
sage.combinat.graph_path
sage.combinat.integer_list
sage.combinat.integer_vector
sage.combinat.integer_vector_weighted
sage.combinat.lyndon_word
sage.combinat.matrices.dlxcpp
sage.combinat.matrices.latin
sage.combinat.misc
sage.combinat.multichoose_nk
sage.combinat.necklace
sage.combinat.output
sage.combinat.partition
sage.combinat.partition_algebra
sage.combinat.permutation
sage.combinat.permutation_nk
sage.combinat.posets.elements
sage.combinat.posets.hasse_diagram
sage.combinat.posets.lattices
sage.combinat.posets.poset_examples
sage.combinat.posets.posets
sage.combinat.q_analogues
sage.combinat.ranker
sage.combinat.restricted_growth
sage.combinat.ribbon
sage.combinat.ribbon_tableau
sage.combinat.root_system.cartan_matrix
sage.combinat.root_system.cartan_type
sage.combinat.root_system.coxeter_matrix
sage.combinat.root_system.dynkin_diagram
sage.combinat.root_system.root_system
sage.combinat.root_system.weyl_characters
sage.combinat.root_system.weyl_group
sage.combinat.schubert_polynomial
sage.combinat.set_partition
sage.combinat.set_partition_ordered
sage.combinat.sf.classical
sage.combinat.sf.dual
sage.combinat.sf.elementary
sage.combinat.sf.hall_littlewood
sage.combinat.sf.homogeneous
sage.combinat.sf.jack
sage.combinat.sf.kfpoly
sage.combinat.sf.kschur
sage.combinat.sf.llt
sage.combinat.sf.macdonald
sage.combinat.sf.monomial
sage.combinat.sf.multiplicative
sage.combinat.sf.ns_macdonald
sage.combinat.sf.orthotriang
sage.combinat.sf.powersum
sage.combinat.sf.schur
sage.combinat.sf.sfa
sage.combinat.skew_partition
sage.combinat.skew_tableau
sage.combinat.sloane_functions
sage.combinat.species.characteristic_species
sage.combinat.species.composition_species
sage.combinat.species.cycle_species
sage.combinat.species.functorial_composition_species
sage.combinat.species.generating_series
sage.combinat.species.library
sage.combinat.species.linear_order_species
sage.combinat.species.misc
sage.combinat.species.partition_species
sage.combinat.species.permutation_species
sage.combinat.species.product_species
sage.combinat.species.recursive_species
sage.combinat.species.series
sage.combinat.species.series_order
sage.combinat.species.set_species
sage.combinat.species.species
sage.combinat.species.stream
sage.combinat.species.structure
sage.combinat.species.subset_species
sage.combinat.species.sum_species
sage.combinat.split_nk
sage.combinat.subset
sage.combinat.subword
sage.combinat.symmetric_group_algebra
sage.combinat.tableau
sage.combinat.tools
sage.combinat.tuple
sage.combinat.words.alphabet
sage.combinat.words.morphism
sage.combinat.words.shuffle_product
sage.combinat.words.suffix_trees
sage.combinat.words.utils
sage.combinat.words.word
sage.combinat.words.word_content
sage.combinat.words.word_generators
sage.combinat.words.words
sage.combinat.yamanouchi
sage.crypto.block_cipher.miniaes
sage.crypto.cipher
sage.crypto.classical
sage.crypto.classical_cipher
sage.crypto.cryptosystem
sage.crypto.lfsr
sage.crypto.mq.mpolynomialsystem
sage.crypto.mq.sbox
sage.crypto.mq.sr
sage.crypto.stream
sage.crypto.stream_cipher
sage.databases.conway
sage.databases.cremona
sage.databases.jones
sage.databases.lincodes
sage.databases.odlyzko
sage.databases.sloane
sage.databases.stein_watkins
sage.functions.generalized
sage.functions.hyperbolic
sage.functions.log
sage.functions.orthogonal_polys
sage.functions.piecewise
sage.functions.special
sage.functions.transcendental
sage.functions.wigner
sage.games.sudoku
sage.geometry.lattice_polytope
sage.geometry.polytope
sage.graphs.base.c_graph
sage.graphs.base.dense_graph
sage.graphs.base.sparse_graph
sage.graphs.graph
sage.graphs.graph_database
sage.graphs.graph_generators
sage.graphs.graph_latex
sage.graphs.graph_list
sage.groups.abelian_gps.abelian_group
sage.groups.abelian_gps.abelian_group_element
sage.groups.abelian_gps.abelian_group_morphism
sage.groups.abelian_gps.dual_abelian_group
sage.groups.generic
sage.groups.group
sage.groups.matrix_gps.general_linear
sage.groups.matrix_gps.homset
sage.groups.matrix_gps.linear
sage.groups.matrix_gps.matrix_group
sage.groups.matrix_gps.matrix_group_element
sage.groups.matrix_gps.matrix_group_morphism
sage.groups.matrix_gps.orthogonal
sage.groups.matrix_gps.special_linear
sage.groups.matrix_gps.symplectic
sage.groups.matrix_gps.unitary
sage.groups.perm_gps.cubegroup
sage.groups.perm_gps.permgroup
sage.groups.perm_gps.permgroup_element
sage.groups.perm_gps.permgroup_morphism
sage.homology.chain_complex
sage.homology.examples
sage.homology.simplicial_complex
sage.interfaces.axiom
sage.interfaces.expect
sage.interfaces.gap
sage.interfaces.genus2reduction
sage.interfaces.gnuplot
sage.interfaces.gp
sage.interfaces.kash
sage.interfaces.magma
sage.interfaces.maple
sage.interfaces.mathematica
sage.interfaces.matlab
sage.interfaces.maxima
sage.interfaces.mwrank
sage.interfaces.octave
sage.interfaces.sage0
sage.interfaces.singular
sage.interfaces.tachyon
sage.lfunctions.dokchitser
sage.lfunctions.lcalc
sage.lfunctions.sympow
sage.libs.mwrank.all
sage.libs.ntl.all
sage.libs.pari.gen
sage.matrix.berlekamp_massey
sage.matrix.constructor
sage.matrix.docs
sage.matrix.matrix
sage.matrix.matrix0
sage.matrix.matrix1
sage.matrix.matrix2
sage.matrix.matrix_complex_double_dense
sage.matrix.matrix_dense
sage.matrix.matrix_generic_dense
sage.matrix.matrix_generic_sparse
sage.matrix.matrix_integer_dense
sage.matrix.matrix_modn_dense
sage.matrix.matrix_modn_sparse
sage.matrix.matrix_rational_dense
sage.matrix.matrix_real_double_dense
sage.matrix.matrix_space
sage.matrix.matrix_sparse
sage.matrix.strassen
sage.misc.abstract_method
sage.misc.attach
sage.misc.dist
sage.misc.explain_pickle
sage.misc.func_persist
sage.misc.functional
sage.misc.getusage
sage.misc.hg
sage.misc.latex
sage.misc.latex_macros
sage.misc.lazy_attribute
sage.misc.log
sage.misc.misc
sage.misc.mrange
sage.misc.package
sage.misc.persist
sage.misc.random_testing
sage.misc.sage_eval
sage.misc.sagedoc
sage.misc.trace
sage.modular.abvar.abvar
sage.modular.abvar.abvar_ambient_jacobian
sage.modular.abvar.abvar_newform
sage.modular.abvar.constructor
sage.modular.abvar.cuspidal_subgroup
sage.modular.abvar.finite_subgroup
sage.modular.abvar.homology
sage.modular.abvar.homspace
sage.modular.abvar.lseries
sage.modular.abvar.morphism
sage.modular.abvar.torsion_subgroup
sage.modular.arithgroup.arithgroup_element
sage.modular.arithgroup.arithgroup_generic
sage.modular.arithgroup.arithgroup_perm
sage.modular.arithgroup.congroup_gamma
sage.modular.arithgroup.congroup_gamma0
sage.modular.arithgroup.congroup_gamma1
sage.modular.arithgroup.congroup_gammaH
sage.modular.arithgroup.congroup_generic
sage.modular.arithgroup.congroup_sl2z
sage.modular.buzzard
sage.modular.cusps
sage.modular.dims
sage.modular.dirichlet
sage.modular.etaproducts
sage.modular.hecke.algebra
sage.modular.hecke.ambient_module
sage.modular.hecke.degenmap
sage.modular.hecke.element
sage.modular.hecke.hecke_operator
sage.modular.hecke.homspace
sage.modular.hecke.module
sage.modular.hecke.morphism
sage.modular.hecke.submodule
sage.modular.modform.ambient
sage.modular.modform.ambient_eps
sage.modular.modform.ambient_g0
sage.modular.modform.ambient_g1
sage.modular.modform.ambient_R
sage.modular.modform.constructor
sage.modular.modform.cuspidal_submodule
sage.modular.modform.eis_series
sage.modular.modform.eisenstein_submodule
sage.modular.modform.element
sage.modular.modform.find_generators
sage.modular.modform.half_integral
sage.modular.modform.hecke_operator_on_qexp
sage.modular.modform.numerical
sage.modular.modform.space
sage.modular.modform.submodule
sage.modular.modform.vm_basis
sage.modular.modsym.ambient
sage.modular.modsym.boundary
sage.modular.modsym.element
sage.modular.modsym.g1list
sage.modular.modsym.ghlist
sage.modular.modsym.heilbronn
sage.modular.modsym.manin_symbols
sage.modular.modsym.modsym
sage.modular.modsym.modular_symbols
sage.modular.modsym.p1list
sage.modular.modsym.relation_matrix
sage.modular.modsym.space
sage.modular.modsym.subspace
sage.modular.overconvergent.genus0
sage.modular.overconvergent.weightspace
sage.modular.quatalg.brandt
sage.modular.ssmod.ssmod
sage.modules.complex_double_vector
sage.modules.fg_pid.fgp_element
sage.modules.fg_pid.fgp_module
sage.modules.fg_pid.fgp_morphism
sage.modules.free_module
sage.modules.free_module_element
sage.modules.free_module_homspace
sage.modules.free_module_morphism
sage.modules.matrix_morphism
sage.modules.module
sage.modules.real_double_vector
sage.monoids.free_abelian_monoid
sage.monoids.free_abelian_monoid_element
sage.monoids.free_monoid
sage.monoids.free_monoid_element
sage.numerical.knapsack
sage.numerical.optimize
sage.plot.animate
sage.plot.arrow
sage.plot.bar_chart
sage.plot.bezier_path
sage.plot.circle
sage.plot.complex_plot
sage.plot.contour_plot
sage.plot.density_plot
sage.plot.disk
sage.plot.line
sage.plot.matrix_plot
sage.plot.plot
sage.plot.plot3d.base
sage.plot.plot3d.examples
sage.plot.plot3d.implicit_plot3d
sage.plot.plot3d.list_plot3d
sage.plot.plot3d.parametric_plot3d
sage.plot.plot3d.platonic
sage.plot.plot3d.plot3d
sage.plot.plot3d.shapes2
sage.plot.plot3d.tachyon
sage.plot.plot_field
sage.plot.point
sage.plot.polygon
sage.plot.primitive
sage.plot.scatter_plot
sage.plot.text
sage.probability.random_variable
sage.rings.arith
sage.rings.complex_double
sage.rings.complex_field
sage.rings.complex_number
sage.rings.finite_field
sage.rings.finite_field_element
sage.rings.fraction_field
sage.rings.fraction_field_element
sage.rings.homset
sage.rings.ideal
sage.rings.ideal_monoid
sage.rings.infinity
sage.rings.integer
sage.rings.integer_mod
sage.rings.integer_mod_ring
sage.rings.integer_ring
sage.rings.laurent_series_ring
sage.rings.laurent_series_ring_element
sage.rings.morphism
sage.rings.number_field.class_group
sage.rings.number_field.galois_group
sage.rings.number_field.number_field
sage.rings.number_field.number_field_element
sage.rings.number_field.number_field_element_quadratic
sage.rings.number_field.number_field_ideal
sage.rings.number_field.number_field_ideal_rel
sage.rings.number_field.number_field_rel
sage.rings.number_field.order
sage.rings.number_field.small_primes_of_degree_one
sage.rings.number_field.unit_group
sage.rings.padics.eisenstein_extension_generic
sage.rings.padics.factory
sage.rings.padics.generic_nodes
sage.rings.padics.local_generic
sage.rings.padics.local_generic_element
sage.rings.padics.misc
sage.rings.padics.padic_base_generic
sage.rings.padics.padic_base_generic_element
sage.rings.padics.padic_base_leaves
sage.rings.padics.padic_capped_absolute_element
sage.rings.padics.padic_capped_relative_element
sage.rings.padics.padic_ext_element
sage.rings.padics.padic_extension_generic
sage.rings.padics.padic_extension_leaves
sage.rings.padics.padic_fixed_mod_element
sage.rings.padics.padic_generic
sage.rings.padics.padic_generic_element
sage.rings.padics.padic_printing
sage.rings.padics.padic_ZZ_pX_CA_element
sage.rings.padics.padic_ZZ_pX_CR_element
sage.rings.padics.padic_ZZ_pX_element
sage.rings.padics.padic_ZZ_pX_FM_element
sage.rings.padics.pow_computer
sage.rings.padics.pow_computer_ext
sage.rings.padics.precision_error
sage.rings.padics.tutorial
sage.rings.padics.unramified_extension_generic
sage.rings.polynomial.complex_roots
sage.rings.polynomial.convolution
sage.rings.polynomial.cyclotomic
sage.rings.polynomial.groebner_fan
sage.rings.polynomial.infinite_polynomial_element
sage.rings.polynomial.infinite_polynomial_ring
sage.rings.polynomial.laurent_polynomial
sage.rings.polynomial.laurent_polynomial_ring
sage.rings.polynomial.multi_polynomial
sage.rings.polynomial.multi_polynomial_element
sage.rings.polynomial.multi_polynomial_ideal
sage.rings.polynomial.multi_polynomial_ideal_libsingular
sage.rings.polynomial.multi_polynomial_libsingular
sage.rings.polynomial.multi_polynomial_ring
sage.rings.polynomial.multi_polynomial_ring_generic
sage.rings.polynomial.pbori
sage.rings.polynomial.polydict
sage.rings.polynomial.polynomial_element
sage.rings.polynomial.polynomial_element_generic
sage.rings.polynomial.polynomial_gf2x
sage.rings.polynomial.polynomial_integer_dense_flint
sage.rings.polynomial.polynomial_integer_dense_ntl
sage.rings.polynomial.polynomial_modn_dense_ntl
sage.rings.polynomial.polynomial_quotient_ring
sage.rings.polynomial.polynomial_quotient_ring_element
sage.rings.polynomial.polynomial_real_mpfr_dense
sage.rings.polynomial.polynomial_ring
sage.rings.polynomial.polynomial_ring_constructor
sage.rings.polynomial.polynomial_singular_interface
sage.rings.polynomial.polynomial_zmod_flint
sage.rings.polynomial.real_roots
sage.rings.polynomial.symmetric_ideal
sage.rings.polynomial.symmetric_reduction
sage.rings.polynomial.term_order
sage.rings.polynomial.toy_buchberger
sage.rings.polynomial.toy_d_basis
sage.rings.polynomial.toy_variety
sage.rings.power_series_ring
sage.rings.power_series_ring_element
sage.rings.qqbar
sage.rings.quotient_ring
sage.rings.quotient_ring_element
sage.rings.rational
sage.rings.rational_field
sage.rings.real_double
sage.rings.real_mpfi
sage.rings.real_mpfr
sage.schemes.elliptic_curves.cm
sage.schemes.elliptic_curves.constructor
sage.schemes.elliptic_curves.ec_database
sage.schemes.elliptic_curves.ell_curve_isogeny
sage.schemes.elliptic_curves.ell_field
sage.schemes.elliptic_curves.ell_finite_field
sage.schemes.elliptic_curves.ell_generic
sage.schemes.elliptic_curves.ell_local_data
sage.schemes.elliptic_curves.ell_modular_symbols
sage.schemes.elliptic_curves.ell_number_field
sage.schemes.elliptic_curves.ell_point
sage.schemes.elliptic_curves.ell_rational_field
sage.schemes.elliptic_curves.ell_tate_curve
sage.schemes.elliptic_curves.ell_torsion
sage.schemes.elliptic_curves.formal_group
sage.schemes.elliptic_curves.kodaira_symbol
sage.schemes.elliptic_curves.monsky_washnitzer
sage.schemes.elliptic_curves.padic_lseries
sage.schemes.elliptic_curves.padics
sage.schemes.elliptic_curves.period_lattice
sage.schemes.elliptic_curves.sha_tate
sage.schemes.elliptic_curves.weierstrass_morphism
sage.schemes.generic.affine_space
sage.schemes.generic.algebraic_scheme
sage.schemes.generic.ambient_space
sage.schemes.generic.divisor
sage.schemes.generic.glue
sage.schemes.generic.homset
sage.schemes.generic.hypersurface
sage.schemes.generic.morphism
sage.schemes.generic.point
sage.schemes.generic.projective_space
sage.schemes.generic.scheme
sage.schemes.generic.spec
sage.schemes.hyperelliptic_curves.constructor
sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field
sage.schemes.hyperelliptic_curves.hyperelliptic_generic
sage.schemes.hyperelliptic_curves.jacobian_constructor
sage.schemes.hyperelliptic_curves.jacobian_g2
sage.schemes.hyperelliptic_curves.jacobian_generic
sage.schemes.hyperelliptic_curves.jacobian_homset
sage.schemes.hyperelliptic_curves.jacobian_morphism
sage.schemes.plane_curves.affine_curve
sage.schemes.plane_curves.constructor
sage.schemes.plane_curves.projective_curve
sage.schemes.readme
sage.server.introspect
sage.server.notebook.cell
sage.server.notebook.config
sage.server.notebook.css
sage.server.notebook.js
sage.server.notebook.notebook
sage.server.notebook.twist
sage.server.notebook.worksheet
sage.server.simple.twist
sage.server.support
sage.server.wiki.moin
sage.sets.family
sage.sets.primes
sage.sets.set
sage.structure.category_object
sage.structure.coerce
sage.structure.coerce_actions
sage.structure.coerce_maps
sage.structure.element
sage.structure.element_wrapper
sage.structure.factorization
sage.structure.formal_sum
sage.structure.mutability
sage.structure.parent
sage.structure.parent_gens
sage.structure.sage_object
sage.structure.sequence
sage.structure.unique_representation
sage.symbolic.constants
sage.symbolic.expression
sage.symbolic.expression_conversions
sage.symbolic.relation
sage.symbolic.ring
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