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Sage Reference Manual

Project: SageManifolds
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Search.setIndex({envversion:42,terms:{finite_r:113,coproduct_on_basi:[50,83,98,87],orthogon:[94,0,103,149],get_object:113,interchang:52,four:[20,145,149],prefix:[105,20,0,136,139,83,94,126,101],coalgebras_with_basi:87,finite_extra_super_categori:[150,65],browse_thread:121,forget:[14,63],emptyseterror:24,whose:[52,20,145,0,65,83,82,93,24,149,139,13,131,126,5,136,141,143,157],typeerror:[136,107,65,113,24,59,63,6],isobar:30,symmetricgroupbruhatorderposet:139,matrix_algebra:128,testpar:78,concret:[],under:[8,105,125,65,22,139,83,38,14,99,21],some_el:[105,106,126,118,24,84,14,29,7],spec:81,similarity_factor_domain:151,digit:[8,83,99],everi:[8,52,145,139,65,22,74,83,76,99,14,136,15,21,155,69,70,152],risk:[24,99,65],a_extra_super_categori:65,polynomial_element_gener:14,rise:[52,75,136,65],left_inversions_as_reflect:126,map_coeffici:20,sage_object:[145,24,82,37,69,63],govern:14,appar:[136,83],bindableclass:[95,5],wissenschaftsverlag:36,indices_cmp:5,dabacb:[18,118],right_base_r:86,from_kbounded_to_grassmannian:57,"__nonzero__":145,z12:[101,149],non_desc:126,absolute_l:126,vector:[],math:[52,0,126],initialis:24,quasigroup:[8,99],cmp:20,realintervalfield:136,quotient_modul:[94,20],miller:[112,84],naiv:[151,91],element_wrapp:[106,72,91,118,14,60,42,127,18,51,104],bialgebra:[],direct:[52,145,126,65,22,82,139,83,121,149,14,151,101,143,130],consequ:[14,145,113,65],second:[106,145,65,94,59,69],issubclass:[14,145],"_test_elements_eq_transit":[91,118,3,4,51,7,52,9,127,93,14,60,18,36,21,24,68,26,126,143,104,106,72,148,151,153,42],"_with_axiom":[145,65],even:[136,145,126,65,83,56,24,14,15,69,112],hide:[145,65],freealgebra:[39,47,154],neg:[20,145,0,31,149,24,141,68,77,15,17],biject:[139,57],hopf_algebras_with_basi:[4,98,65],"new":[],symmetr:[105,20,145,0,113,149,42,83,126,103,26,4,16,29,43,140,36,6],ringid:134,ever:14,bruhat_upper_covers_reflect:[0,126],rlf:136,abov:[8,20,145,0,65,129,66,139,24,94,14,136,49,112,52,63],finitesets_with_categori:[8,34,65,75,24,99,32,28],never:[24,65],here:[91,136,83,8,126,14,93,94,95,15,16,61,36,20,65,139,99,69,105,145,0,31,74,63,149,151,78,155,112,157,113],additive_semigroup:[8,67,58,55,142],met:65,"_base_category_class_and_axiom_origin":65,subword:126,num_vert:[112,126],is_left:125,path:[22,149,121,94,14,151,103],interpret:[14,139],"_mul_par":7,"_test_enumerated_set_iter_list":[52,9,127,60,91,93,3,68,14,26,126,151,21,42,36,104],lajo:149,anymor:[113,78],precis:[20,145,74,86,24,141,14,136,21,33],jame:139,groupalgebra:[101,14,75,83,19],as_list:145,fraction_field:[30,139,15,74],subsemigroup:[101,112],generali:20,studi:[],isomorph:[],schur:[52,20,24,50],change_nam:[8,83,99],unital_extra_super_categori:65,ignored_arg:78,"_call_with_arg":59,residue_field:116,spooki:139,infinite_polynomial_r:136,unit:[],highli:65,sarah:93,plot:[105,145,151,60,42,112],graphics3d:151,describ:[8,0,31,65,99,14,126,15],would:[105,20,145,39,83,82,65,24,99,14,136,151,78,96,17,112,157,63,134],has_coerce_map_from:136,tail:[52,59],choosen:104,apply_conjugation_by_simple_reflect:126,foster:[14,82],call:[118,47,83,84,114,49,52,51,8,138,54,129,56,93,57,6,14,59,15,16,17,63,82,20,65,22,66,139,24,99,141,68,136,34,69,29,101,107,143,144,105,106,145,0,31,36,126,151,78,75,112,157,113],quo:[136,47],recommend:[8,14,99,65],tsetlin:151,type:[91,136,82,3,84,122,52,7,8,126,55,56,93,57,14,59,15,21,36,20,16,65,83,139,24,99,141,68,142,34,28,29,30,70,32,103,105,106,145,0,75,38,151,78,113,158],until:[20,126,64,149,56,65,84],identitymorph:6,category_graph:[14,145],programmat:[14,24],relat:[52,105,145,0,65,139,14,126,112,104],subspacefunctor:136,notic:[14,117],warn:[139,63,65],"__iter__":[105,78,29],hold:[52,105,145,126,65,139,99,94,14,136,57,150],w_2:136,abcdaaaaa:118,springer:132,word:[115,64,47,5,52,126,55,56,93,57,13,14,18,20,65,24,143,104,105,145,0,35,154,112],henri:132,refactoris:7,setup:99,work:[45,91,136,47,83,88,150,126,14,57,94,95,15,21,20,65,22,139,24,149,78,79],semigroup_gener:[126,127,118,84,14,60,101,123,112,18],worth:65,conceptu:[14,29],is_idempotent_cpdef:7,positiveintegermonoid:148,rework:65,hansen:149,endow:[],undirect:[52,65],cone:151,overrid:[8,145,126,65,99,84,14,59,78],quiver:[94,149,103,121],toggling_orbit:139,give:[101,136,145,0,83,65,75,139,24,121,149,14,126,5,21,30,70,143,151],friedl:149,cartan:[52,93,0,151,149],want:[105,20,145,34,10,65,139,24,76,14,136,126,69,78],semigroupmorph:14,berenstein:151,plist:136,on_basi:[94,20],classical_cryst:93,recov:[20,145,65,149,94,14,30,138,103],cartantyp:[93,151],end:[20,65,57,14,16,61,113],r10:136,turn:[94,139,69,78,65],hom:[8,20,136,81,76,113,94,59,16,63,6],extend_domain:59,lattice_poset:144,how:[83,4,5,7,8,126,14,95,65,139,24,99,141,69,143,106,145,149,151,155,157,113],sever:[],answer:[14,145,31,118],symposium:149,ancestor:[136,126],perspect:65,updat:[14,113,136],aaa1:139,lam:0,aaa3:139,aaa2:139,recogn:103,aaa4:139,reduced_word_graph:126,after:[105,136,145,65,78,29,113],is_lattic:[105,139],diagram:[105,0,139,24,57,126,30,151],befor:[52,136,125,65,139,83,145,99,14,78,113,6],wrong:[20,56,65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,61,70,150,152],rueth:[132,74],breath:105,valueerror:[20,145,0,59,106,113,93,24,126,57,131,54,99,29,17,112,63,51,151],followup:14,thousand:14,resolut:[105,14,145],"_test_on":[126,127,148,143,26,4,42,101,18,36,104],"_multipli":55,principal_order_id:22,order_filt:[22,139],ignore_axiom:[145,97],former:[24,6],those:[105,20,145,126,65,82,139,24,12,149,14,40,69,21,155,112,157,113,103],"case":[],category_left:59,thesi:[0,149],superflu:113,idempotentsemigroupsel:7,unpleasantli:65,trick:[7,65],matrixalgebra:128,margin:65,girth:145,positiveintegersorderedbydivisibilityfacad:[22,51],completionfunctor:136,finite_dimensional_semisimple_algebras_with_basi:103,advantag:[14,24],demazure_oper:[52,93,151],canon:[136,145,126,107,83,56,139,24,14,59,114,29,157],darij:139,is_integrally_clos:74,blah:[95,145,65],good:[14,112,145],ambient:[105,136,9,10,118,126,93,24,121,38,149,101,0,78,30,112,113,151],supremum:[15,144],ascii:[8,83,99],"__init__":[136,145,34,65,47,149,24,78,29,82],sami:52,"_test_prod":[126,127,148,143,26,4,42,18,36,104],magmaticalgebra:[8,64,145,55,65,56,67,121,101,112],dualimmacul:24,author:[136,83,84,114,49,89,125,73,129,12,6,59,15,36,97,135,20,132,66,69,121,145,74,63,149,40,112,113],obfusc:24,alphabet:[72,153,118,143,14,60,154,155,123,112,18,36],evenpolynomialfunctor:136,same:[136,119,50,123,52,126,93,121,94,14,63,20,65,132,24,105,145,74,38,151,78,112,113],check:[136,81,83,119,52,8,9,10,56,94,14,59,15,21,17,63,20,16,65,22,139,24,99,68,69,103,145,34,31,149,76,78,113],binari:[8,23,99,14,58,101,123,112,152],pad:[8,83,99],knuth:105,eventu:[105,145,0,55,65,121,84,126,50,157],gadget:36,futhermor:65,laurentpolynomialr:136,nest:[],caylei:[155,112,83],someon:91,gset:[43,145],mani:[145,65,82,149,24,76,14,60],extern:151,commutative_additive_monoid:[79,153],is_construction_defined_by_bas:69,defn:[113,59,63,136],additiveassoci:[8,115,35,65,67,47,88,24,99,14,58,28,61,45,79,152],appropri:[145,65,23,14,16,157],principal_lower_set:22,algebra_functor:[8,83,67,24,99,84,101,69,48,30,61,112,89],facad:[],commutative_ring_id:41,without:[115,136,145,65,113,141,14,151,15,60,17,63],model:[],category_id:[39,156,41,10,134],category_for:[20,59],roughli:[126,65],base_categori:[115,67,64,47,3,119,84,123,101,121,4,87,48,49,88,100,50,147,90,8,54,55,73,129,56,12,150,94,58,16,17,61,62,36,135,20,122,65,23,66,139,24,99,26,28,29,30,102,70,32,143,103,105,83,34,35,74,75,149,107,38,110,40,152,78,69,112,79,158,80,114],polygen:125,execut:65,dihedr:[105,126,147,98,83,140,4,87,101,50,112,36,104],resp:[105,126,69,139],kill:20,commutativeringid:[41,134],touch:14,at_startup:65,speed:145,concentr:14,versu:145,get_action_c:113,hint:65,alternatinggroup:[36,83,99,84,112,113],trigger:[6,78,65],except:[8,20,145,65,132,139,24,99,29,52,104],littl:65,identif:24,withequalitybyid:[82,24],real:[20,145,126,74,65,86,136,59,113],inspir:14,around:[155,14,0,65,20],ohai:139,read:[],mor:59,"_internal_convert_map_from":59,reduced_word_reverse_iter:126,pop:136,"_test_characterist":[4,143],world:[7,118],usefulli:65,saniti:[149,65],qs3:[20,149,83],brokencategori:145,facadeset:[34,24],myfinitefield:65,integ:[101,67,116,64,81,47,127,83,84,85,77,121,4,87,48,49,122,50,52,6,146,8,125,54,55,10,134,129,56,12,51,94,14,58,59,15,126,16,132,17,61,63,97,135,20,147,65,22,23,66,139,24,99,141,68,136,34,28,29,30,102,70,32,103,106,145,0,31,73,74,148,113,149,76,38,110,40,41,78,69,112,86,158,151],idempotentsemigroup:7,finite_cryst:3,unitalalgebra:[56,55,145],either:[8,52,93,31,74,132,65,24,99,136,126,101,123,112,113,151],output:[118,83,49,123,122,52,8,126,55,129,57,94,14,59,15,61,63,97,20,65,22,132,66,139,99,141,136,69,101,70,103,105,145,0,31,74,75,149,78,112,113],tower:136,phi_yz:59,supplementari:[145,69,97],node:[52,105,0,57,126,151],"_test_antipod":4,"_apply_functor":63,ascend:22,qdim:21,simplici:[145,113,97,10],magma:[],adequ:[145,10,7],reduced_word:[52,105,0,93,57,126,29,30],"_test_category_over_bas":[81,24],constitut:139,hyperplan:0,assertionerror:[106,145,65,82,118,14,112,36,6],cartan_invariants_matrix:149,confirm:83,multi_vari:136,definit:[52,126,65,22,139,24,140,94,14,96],recomput:126,semiprimitiverings_with_categori:[145,10,7],evolv:65,inject:[20,139,24,14,59,5,29],definin:14,carri:[14,65],base_r:[149,1,2,120,4,5,89,10,92,56,93,12,94,46,16,19,20,137,65,24,25,141,143,11,76,111,158],gcddomain:108,dot_tex:151,permutationgroup:[136,65,83,13,14,112,36],refer:[52,145,125,0,78,65,113,93,24,126,139,149,14,59,21,132,36],unpickle_map:59,power:[136,116,14,15,21,101],bruhat_poset:[105,126],bivari:149,garbag:[125,59,113],ration:[149,116,117,64,1,47,2,83,95,32,85,86,121,4,5,48,122,50,52,6,156,90,8,125,55,10,11,128,56,12,89,94,46,59,15,16,61,62,133,63,97,19,20,137,98,65,67,139,24,99,25,142,136,69,14,154,101,147,141,143,103,120,145,107,74,36,92,76,38,39,110,40,111,78,134,87,112,157,113,158,44],broken:[14,145,65,151,29],homspac:113,semigroupel:14,fulli:65,group_gener:[83,126,36,84],immut:[94,29],schuetzenberger_involut:93,cbad:60,group_algebra:19,stone:16,central:[101,0,83,103,149],simplicialcomplex:[113,97,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