Abstract subgroup data - 28894769971200000000.a.168._.LJ

Formats: - HTML - YAML - JSON - 2025-11-07T09:50:21.962143

• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '28894769971200000000.a', 'ambient_counter': 1, 'ambient_order': 28894769971200000000, 'ambient_tex': 'A_5^8.C_2^4.C_2^6.\\PSL(2,7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '28894769971200000000.a.168._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cu', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_4.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  {'ambient': '28894769971200000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84, 'diagramx': None, 'generators': [18720979200, 45360, 958003200, 1269047912603090780160000, 590465598079208281695237219287040000000, 1181202549834004434843459382149120000000, 267761894400, 523022913225688372701056607253229571603899613, 21457691078431478366242604274978590523227835460, 20920909852217130754791560697299162214829532186, 4, 9767719188486388493844480000000, 925553903285559933665280000000, 271353675587871452984943575040000000, 27527506182452690092631959163161804800000000, 550922116975843703070107182711386931200000000, 1060180981351218469783798427229880320000000000, 1492560, 1134720, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 77607141158826639360000, 8946448455745580025685412413440000000, 42365207345757997578297692415645211521729448394, 38, 711374856192000, 12804747411456000, 1175091669949317120000, 354835667978617665509919398644488646007928980490, 10080, 174356582400, 15, 11292160911544957796352000000, 82128315303451197030842895560702486213037086648, 250048261951488000, 12972960000, 21981085680015262940184087391232851968000000000], 'label': '28894769971200000000.a.168._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '168.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.51', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[440681735352936824597888487913586762962622487617, 334451551180667919731118532439191894478301065631, 815887376457117927941258174066151611734120443588, 145498546158876638166986101769741039792787661378, 145994040679958319062870821250925440322479264585], [440681735352936824597888487913574292979849239662, 334451551180667919731119747535069564243912585605, 773536308195414464233743904893627175049320443513, 145498546158876655566996192077141187064467661322, 145994040679958336126132541517609881881519264556], [440681735352936824597888487913702005689325591609, 334451551180667919731119154011594355495348105639, 814841331222184725717738159617951463151720443584, 145498546158876647008344804048316388700819661369, 145994040679958327599744470378913534364591264577], [440681735352936824597889701834372762778916887662, 396677478906102225685512429827100682104285065631, 815887376457117927941258846269677764660872673988, 145498546158876638166985509421357500993540301378, 145994040679958319062871494527361379097464627785], [440681735352936824597888489088678432911939607621, 334424023674485467041025901655120402622818185631, 815887376457117927941258176314153067114979221188, 145498546158876638166986749143069297523101901378, 145994040679958319062870822426017110352747654985], [460556594816667666844768762429377116045449239617, 334451551180667919731118532439204322615494537601, 815887376457117927941258174066164081716893323668, 145498546158876638166986101769856659129708749378, 145994040679958319062870821250931863618974516985], [418701393659575141460139336521493502865840151617, 334451551180667919731118532439076651751597961550, 815887376457117927941258174065927884341847091908, 145498546158876638166986101769977948542689485378, 145994040679958319062870821250816955656909016905], [419760830654272780127490008641846455434696727617, 376293360577996008671919110367581603586426761631, 753648056971919185543034782397690921916520443513, 126147081323832083844574462528857266680467661378, 167438340883542561285593378869501167979439264585], [460047335952292292078055690509272098101254167617, 396140692535544398228706752923965546509215625631, 734323375638510607196789679065703184111720443576, 187312827459556676338485766043346601996947661378, 105198276804112913766382512123220060851119264585], [440681735352936833439247190192162111945418654017, 334451551180667928572477234717767243386332304591, 815887377056275075320097805380553311164520443588, 145498546158876620493947692279628877230739661322, 145994040679958337051686444803169815546799264542], [440681735352936816061014838785598668919552484417, 334451551180667902047594544959787985391069152031, 815887376778672059123506793237274030282856443588, 145498546158876628715044127345484758610579661386, 145994040679958309916220482899509625277359264581], [440681735934727327896939061036123513486026654017, 334451551180667902341594020121083493825210377631, 815887376457117927941259390234939066851280353988, 145498546158876638166986101769741039792787661378, 145994040679958319062869605082137984677459590985], [440681735361357011379766680878937739351303402817, 334451551180667928583769395629312201183124150431, 815887376457117927941258199969259292791764526788, 145498546158876638166986101769741039799054598978, 145994040679958319062871442823327901339965389385], [440681735352936833439247190192162111870654396897, 334451552048736550775373488460844116594141141951, 815887376457117927941258174066273277757319208948, 145498546158876638166986101769741039792786693698, 145994040679958319062870821251060245857727683865], [440681735352936806914364500434182853875391213377, 334451551475892495932068495363992778558941468831, 815887376457117927941258174065908321533302169748, 145498546158876638166986101769741039792787413698, 145994040679958319062870821250682150121661348585], [440681736220750547643863928327889492629182849777, 334451552048736550775373488460844116675092336031, 815887376752613866659961293644765999569000443588, 166419450562571014434715943416292619809427661378, 165868900725208310933213797436280070261679264585], [440681735648177846476146806684023098169022401217, 334451551475892495932068495363992778895200188831, 815887377351771031732810490427863354611816443588, 147067986299844253281741910211925748707987661378, 146021568481381793631221771980524937333679264585], [440681735352936824597888487913586762962622487617, 395645197406622261503201080397167182623404771700, 270557927816898747531158834439964068175631201922, 21444300221214035149647033652634031002835890415, 292511113971083461979973534754953322175928424243], [480954850054238440493993512587910644318362249539, 334451551180667919731118532439191894478301065631, 251219854723199488762033642159365623868915843835, 81605664983490651325445352793017560994889260805, 230821971739463265879069731042332529603724565098], [605518726589366543966872737116855453172687252567, 628065291966995680946543348696303627297357911676, 815887376457117927941258174066151611734120443588, 165896799660301890618220193653017344120606103106, 167465495511226105681897572083740117009419880936], [604967805054436076499378217519258920014444951090, 669370315601853084061425119903420732218483805403, 734309983879017524450327736339090279038001746558, 145498546158876638166986101769741039792787661378, 126655967890446530899970077184576658785688593243], [376816383785665068488676118866834385944684600267, 419747068081849619114814838449752460998578696357, 773536680787890195770269167751828297338434926039, 105721300307549247684527297983783255651817459200, 145994040679958319062870821250925440322479264585], [334960810322638095488464493258582702377258424496, 500829336960753100732099099082341665225909643451, 733772825819040817974922982414173108803956659898, 186803941778648883997428766091050821977294163048, 104675627082774994906915068678353476884978294378], [397200129208951053308298337896053336588233289531, 690842141514436188916130212777639824235605916197, 230808580274668480564162741770723571651405058541, 61193647425058019904806650322742870484829781223, 210424089953498595655001539966663458392974190085]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 687970713600000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': None, 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': None, 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '171992678400000000.cu', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5'], 'composition_length': 18, 'conjugacy_classes_known': False, 'counter': 73, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': None, 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 240, 'exponents_of_order': [26, 8, 8], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '171992678400000000.cu', 'hash': 2038849062537429938, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': 'A_5^8.C_4.C_2^4.C_2^4', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '171992678400000000.cu', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'A5^8.C4.C2^4.C2^4', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91, 0, 0, 0, 0, 0, 0, 0, 211, 0, 0, 0, 0, 0, 0, 227, 0, 0, 0, 0, 211, 0, 0, 155, 0, 31, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 142, 'number_conjugacy_classes': None, 'number_divisions': None, 'number_normal_subgroups': 948, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 171992678400000000, 'order_factorization_type': 321, 'order_stats': None, 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 4, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 5, 'rational': None, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 40, 'gens': [815887376457117927941258174066151611734120443588, 334451551180667919731118532439191894478301065631, 440681735352936824597888487913586762962622487617, 145498546158876638166986101769741039792787661378, 145994040679958319062870821250925440322479264585]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 6, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_5^8.C_4.C_2^4.C_2^4', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '1.1', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[314039905051138173832988370292692701220013087353, 733263571517226770160456526122213144452765057921], [314039905051138173832988370292692701220012406962, 734296224992395535940147692590279862967965057910], [314039905051138173832988370292692701220013172283, 753661825591751003420314275861564192644765057884], [314039905051138173832988370292692701307670380162, 733263571535119667071947686173583969454959643521], [314039905051138173832988370292692701381915628171, 733263571803776251581248780474313559614053787521], [355372455584090888007075256976647545330521119353, 815378494452809934607995128305372959006365057910], [395644825135692383711378345232560098112467999353, 753138430980957612407336800638015967518365057957], [314039906205756286298035580666445338665750380153, 733263571812722700036994360500119884911207809921], [314039905936573440114867099305381312399468959353, 733263571222512009956065594412482582945617281921], [315071814539653359810244627737880584727397407353, 733263571517226770160456605875173874666515483521], [334960809749802218303387988228261189636228127353, 733263571517226770160455336929443155569483035521], [314039905346107842035658817610144092851372406953, 733263571517226770454456001283508652793499732401], [314039905025096443815206888728955843579053046313, 733263571517226743330282200291393420320413097521], [314039905051138173506727439535382999579165727353, 733263571517226770454455383032017432937567617921], [314039905051138182663861495654886089208759327353, 733263571517226761329583454609872805445768577921], [314039905051138165296114721165172001381209119353, 733263571517226770160456526122334768630383679361], [314039905051138173811210631392220953122493471353, 733263571517226770160456526122462104729640963761], [314039905051138173832988370292692701220013087353, 628574549015191382436857037002078542445028591337], [354835298740626992769093812693606800092695988565, 733263571517226770160456526122213144452765057921], [668861060692198396300756658077559278655903910387, 733263571517226770160456526122213144452765057921], [775091619577038695940602808844687542876758976108, 126147082549019831420716162098509025478293711262], [690841771336746391498093526404635071259168354579, 439126431261793563338880086964253587233521275411], [500306311292199601123953086175465428900846470439, 147040091998654244270629545396160691660353122500], [355867579292258962524365869683084646970251445647, 773536685663840322974771434760632676685015620543], [354849432957949209777308322116222989922968314239, 795517398447200633125257751720997662591710058934], [711225889960348547229582118019945892415932593396, 439622298366667624582891939867545669807637786842], [396663715135644318933712614407060094931795162787, 773550077397020312892105171119226634512195949380], [210919581745031128198659755041126644123663557228, 774073466854795165617427344948455545470182732643]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 57789539942400000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 120, 1, 1], [2, 2800, 1, 1], [2, 6300, 1, 1], [2, 140000, 1, 1], [2, 189000, 1, 1], [2, 252000, 1, 1], [2, 560000, 1, 1], [2, 604800, 1, 1], [2, 708750, 1, 1], [2, 1890000, 1, 1], [2, 2835000, 1, 1], [2, 7560000, 1, 1], [2, 8400000, 1, 1], [2, 28000000, 1, 1], [2, 33600000, 1, 1], [2, 36288000, 1, 1], [2, 42525000, 1, 1], [2, 75600000, 1, 1], [2, 100000000, 1, 1], [2, 113400000, 1, 1], [2, 120960000, 1, 1], [2, 189000000, 1, 1], [2, 241920000, 1, 1], [2, 272160000, 1, 1], [2, 318937500, 1, 1], [2, 425250000, 1, 1], [2, 544320000, 1, 1], [2, 725760000, 2, 1], [2, 756000000, 1, 1], [2, 840000000, 1, 1], [2, 1366875000, 1, 1], [2, 1701000000, 1, 1], [2, 1890000000, 1, 1], [2, 2562890625, 1, 1], [2, 3628800000, 1, 1], [2, 4354560000, 2, 1], [2, 6048000000, 1, 1], [2, 6300000000, 1, 1], [2, 7087500000, 1, 1], [2, 7257600000, 1, 1], [2, 7560000000, 1, 1], [2, 8164800000, 1, 1], [2, 12757500000, 1, 1], [2, 27216000000, 1, 1], [2, 28350000000, 1, 1], [2, 30618000000, 1, 1], [2, 31893750000, 1, 1], [2, 54432000000, 1, 1], [3, 160, 1, 1], [3, 11200, 1, 1], [3, 448000, 1, 1], [3, 2240000, 1, 1], [3, 8960000, 1, 1], [3, 179200000, 1, 1], [3, 1792000000, 1, 1], [3, 10240000000, 1, 1], [3, 25600000000, 1, 1], [3, 46448640000, 1, 1], [3, 1857945600000, 1, 1], [3, 18579456000000, 1, 1], [4, 16800, 1, 1], [4, 25200, 1, 1], [4, 1512000, 1, 1], [4, 1680000, 1, 1], [4, 2268000, 1, 1], [4, 6720000, 1, 1], [4, 7560000, 1, 1], [4, 11340000, 1, 2], [4, 15120000, 1, 1], [4, 17010000, 1, 1], [4, 18144000, 1, 1], [4, 30240000, 1, 1], [4, 45360000, 1, 2], [4, 60480000, 1, 2], [4, 68040000, 1, 1], [4, 100800000, 1, 2], [4, 136080000, 1, 1], [4, 226800000, 1, 2], [4, 302400000, 1, 1], [4, 453600000, 1, 1], [4, 483840000, 1, 1], [4, 504000000, 1, 1], [4, 680400000, 1, 3], [4, 725760000, 1, 1], [4, 756000000, 1, 1], [4, 907200000, 1, 4], [4, 1020600000, 1, 1], [4, 1088640000, 1, 2], [4, 1451520000, 1, 2], [4, 2177280000, 1, 1], [4, 2268000000, 1, 1], [4, 2400000000, 1, 1], [4, 2551500000, 1, 1], [4, 2721600000, 1, 2], [4, 3024000000, 1, 1], [4, 3402000000, 1, 1], [4, 3628800000, 1, 2], [4, 3827250000, 1, 1], [4, 4536000000, 1, 2], [4, 6048000000, 1, 1], [4, 6804000000, 1, 4], [4, 7257600000, 1, 3], [4, 8164800000, 1, 2], [4, 9072000000, 1, 1], [4, 10206000000, 1, 1], [4, 12096000000, 1, 1], [4, 14515200000, 1, 1], [4, 15120000000, 1, 1], [4, 15309000000, 1, 2], [4, 16329600000, 1, 1], [4, 20412000000, 1, 2], [4, 21772800000, 1, 6], [4, 22680000000, 1, 3], [4, 24192000000, 1, 1], [4, 25200000000, 1, 1], [4, 27216000000, 1, 4], [4, 32659200000, 1, 2], [4, 34836480000, 1, 1], [4, 40824000000, 1, 3], [4, 43545600000, 1, 2], [4, 43545600000, 2, 1], [4, 48384000000, 1, 1], [4, 54432000000, 1, 2], [4, 61236000000, 1, 2], [4, 65318400000, 1, 2], [4, 68040000000, 1, 1], [4, 72576000000, 1, 2], [4, 76545000000, 1, 1], [4, 85050000000, 1, 1], [4, 90720000000, 1, 3], [4, 102060000000, 1, 1], [4, 108864000000, 1, 5], [4, 113400000000, 1, 2], [4, 114817500000, 1, 1], [4, 122472000000, 1, 1], [4, 145152000000, 1, 2], [4, 151200000000, 1, 1], [4, 153090000000, 1, 1], [4, 163296000000, 1, 2], [4, 170100000000, 1, 1], [4, 181440000000, 1, 1], [4, 191362500000, 1, 1], [4, 204120000000, 1, 5], [4, 217728000000, 1, 5], [4, 244944000000, 1, 3], [4, 261273600000, 2, 1], [4, 272160000000, 1, 1], [4, 287043750000, 1, 1], [4, 290304000000, 1, 1], [4, 326592000000, 1, 4], [4, 340200000000, 1, 1], [4, 362880000000, 1, 1], [4, 382725000000, 1, 1], [4, 435456000000, 1, 1], [4, 453600000000, 1, 1], [4, 489888000000, 1, 3], [4, 522547200000, 1, 1], [4, 574087500000, 1, 1], [4, 604800000000, 1, 1], [4, 612360000000, 1, 3], [4, 653184000000, 1, 6], [4, 656100000000, 1, 1], [4, 680400000000, 1, 1], [4, 725760000000, 1, 3], [4, 765450000000, 1, 1], [4, 816480000000, 1, 4], [4, 870912000000, 1, 2], [4, 870912000000, 2, 1], [4, 918540000000, 1, 1], [4, 979776000000, 1, 1], [4, 979776000000, 2, 1], [4, 1045094400000, 1, 1], [4, 1224720000000, 1, 1], [4, 1306368000000, 1, 1], [4, 1360800000000, 1, 3], [4, 1530900000000, 1, 2], [4, 1632960000000, 1, 4], [4, 1749600000000, 1, 1], [4, 1837080000000, 1, 1], [4, 1959552000000, 1, 1], [4, 1959552000000, 2, 1], [4, 2041200000000, 1, 2], [4, 2177280000000, 1, 6], [4, 2296350000000, 1, 1], [4, 2721600000000, 1, 1], [4, 3061800000000, 1, 2], [4, 3265920000000, 1, 3], [4, 3483648000000, 1, 2], [4, 3919104000000, 2, 1], [4, 4354560000000, 1, 2], [4, 4592700000000, 1, 1], [4, 4898880000000, 1, 6], [4, 5443200000000, 1, 1], [4, 6123600000000, 1, 2], [4, 6531840000000, 1, 4], [4, 6889050000000, 1, 1], [4, 6967296000000, 1, 1], [4, 7257600000000, 1, 1], [4, 7257600000000, 2, 1], [4, 7348320000000, 1, 2], [4, 7838208000000, 1, 1], [4, 9185400000000, 1, 1], [4, 9797760000000, 1, 2], [4, 9797760000000, 2, 1], [4, 10886400000000, 1, 2], [4, 12247200000000, 1, 1], [4, 13063680000000, 1, 2], [4, 14696640000000, 1, 3], [4, 15676416000000, 1, 1], [4, 16329600000000, 1, 2], [4, 19595520000000, 1, 3], [4, 20901888000000, 1, 2], [4, 21772800000000, 1, 1], [4, 24494400000000, 1, 3], [4, 26127360000000, 1, 1], [4, 26127360000000, 2, 1], [4, 31352832000000, 1, 1], [4, 32659200000000, 1, 2], [4, 36741600000000, 1, 1], [4, 36741600000000, 2, 1], [4, 43545600000000, 2, 1], [4, 48988800000000, 1, 3], [4, 52254720000000, 1, 1], [4, 55112400000000, 1, 1], [4, 58786560000000, 2, 1], [4, 65318400000000, 1, 2], [4, 73483200000000, 1, 2], [4, 97977600000000, 1, 1], [4, 104509440000000, 1, 2], [4, 110224800000000, 1, 2], [4, 117573120000000, 1, 1], [4, 125411328000000, 2, 1], [4, 146966400000000, 1, 1], [4, 195955200000000, 1, 2], [4, 195955200000000, 2, 1], [4, 220449600000000, 2, 1], [4, 250822656000000, 2, 1], [4, 293932800000000, 1, 1], [4, 313528320000000, 1, 2], [4, 470292480000000, 1, 1], [4, 783820800000000, 1, 1], [5, 192, 1, 1], [5, 16128, 1, 1], [5, 774144, 1, 1], [5, 4644864, 1, 1], [5, 18579456, 1, 1], [5, 445906944, 1, 1], [5, 5350883328, 1, 1], [5, 36691771392, 1, 1], [5, 55037657088, 2, 1], [6, 11200, 1, 2], [6, 16800, 1, 1], [6, 336000, 1, 1], [6, 756000, 1, 1], [6, 1008000, 1, 3], [6, 1120000, 1, 1], [6, 1344000, 1, 2], [6, 2240000, 1, 1], [6, 3360000, 1, 2], [6, 3780000, 1, 1], [6, 4480000, 1, 2], [6, 5040000, 1, 1], [6, 6720000, 1, 1], [6, 7560000, 1, 3], [6, 8960000, 1, 1], [6, 11200000, 1, 1], [6, 13440000, 1, 4], [6, 15120000, 1, 1], [6, 17920000, 1, 1], [6, 20160000, 1, 3], [6, 24192000, 1, 1], [6, 26880000, 1, 1], [6, 30240000, 1, 3], [6, 44800000, 1, 1], [6, 48384000, 1, 1], [6, 53760000, 1, 2], [6, 56700000, 1, 1], [6, 67200000, 1, 2], [6, 80640000, 1, 2], [6, 89600000, 1, 2], [6, 134400000, 1, 2], [6, 151200000, 1, 3], [6, 179200000, 1, 2], [6, 201600000, 1, 3], [6, 226800000, 1, 1], [6, 241920000, 1, 1], [6, 268800000, 1, 5], [6, 302400000, 1, 4], [6, 336000000, 1, 3], [6, 358400000, 1, 4], [6, 403200000, 1, 5], [6, 453600000, 1, 3], [6, 483840000, 1, 3], [6, 504000000, 1, 1], [6, 537600000, 1, 4], [6, 604800000, 1, 5], [6, 716800000, 1, 2], [6, 725760000, 1, 1], [6, 806400000, 1, 5], [6, 967680000, 1, 3], [6, 1075200000, 1, 3], [6, 1120000000, 1, 1], [6, 1209600000, 1, 3], [6, 1344000000, 1, 4], [6, 1451520000, 1, 2], [6, 1512000000, 1, 3], [6, 1600000000, 1, 1], [6, 1612800000, 1, 3], [6, 1701000000, 1, 3], [6, 1792000000, 1, 2], [6, 1935360000, 1, 1], [6, 2016000000, 1, 1], [6, 2268000000, 1, 1], [6, 2551500000, 1, 1], [6, 2688000000, 1, 3], [6, 3024000000, 1, 10], [6, 4032000000, 1, 5], [6, 4480000000, 1, 1], [6, 4536000000, 1, 2], [6, 4838400000, 1, 2], [6, 5376000000, 1, 11], [6, 6048000000, 1, 4], [6, 6804000000, 1, 3], [6, 7560000000, 1, 1], [6, 8064000000, 1, 8], [6, 9072000000, 1, 5], [6, 9676800000, 1, 2], [6, 10080000000, 1, 3], [6, 10752000000, 1, 1], [6, 10886400000, 1, 2], [6, 11200000000, 1, 2], [6, 12096000000, 1, 12], [6, 12757500000, 1, 1], [6, 13440000000, 1, 2], [6, 14515200000, 1, 6], [6, 15120000000, 1, 2], [6, 16128000000, 1, 9], [6, 16800000000, 1, 1], [6, 17010000000, 1, 1], [6, 17920000000, 1, 1], [6, 18144000000, 1, 3], [6, 19353600000, 1, 9], [6, 21504000000, 1, 6], [6, 21772800000, 1, 2], [6, 22400000000, 1, 2], [6, 22680000000, 1, 1], [6, 24192000000, 1, 2], [6, 25600000000, 1, 1], [6, 26880000000, 1, 2], [6, 27337500000, 1, 1], [6, 29030400000, 1, 3], [6, 30240000000, 1, 3], [6, 32256000000, 1, 5], [6, 35840000000, 1, 4], [6, 37800000000, 1, 1], [6, 38707200000, 1, 4], [6, 40320000000, 1, 4], [6, 44800000000, 1, 1], [6, 45360000000, 1, 3], [6, 48384000000, 1, 5], [6, 51030000000, 1, 3], [6, 53760000000, 1, 5], [6, 56700000000, 1, 1], [6, 58060800000, 1, 1], [6, 58060800000, 2, 1], [6, 60480000000, 1, 7], [6, 67200000000, 1, 1], [6, 68040000000, 1, 3], [6, 71680000000, 1, 2], [6, 72576000000, 1, 1], [6, 75600000000, 1, 3], [6, 80640000000, 1, 5], [6, 89600000000, 1, 2], [6, 90720000000, 1, 5], [6, 96768000000, 1, 5], [6, 102400000000, 1, 1], [6, 107520000000, 1, 3], [6, 108864000000, 1, 4], [6, 113400000000, 1, 2], [6, 120960000000, 1, 10], [6, 127575000000, 1, 3], [6, 134400000000, 1, 2], [6, 143360000000, 1, 2], [6, 145152000000, 1, 2], [6, 151200000000, 1, 1], [6, 153600000000, 1, 1], [6, 161280000000, 1, 10], [6, 163296000000, 1, 1], [6, 170100000000, 1, 2], [6, 179200000000, 1, 4], [6, 181440000000, 1, 5], [6, 193536000000, 1, 7], [6, 201600000000, 1, 2], [6, 215040000000, 1, 6], [6, 217728000000, 1, 4], [6, 226800000000, 1, 2], [6, 241920000000, 1, 10], [6, 255150000000, 1, 1], [6, 268800000000, 1, 1], [6, 272160000000, 1, 2], [6, 286720000000, 1, 1], [6, 290304000000, 1, 7], [6, 302400000000, 1, 6], [6, 322560000000, 1, 5], [6, 326592000000, 1, 1], [6, 340200000000, 1, 1], [6, 348364800000, 2, 1], [6, 358400000000, 1, 1], [6, 362880000000, 1, 3], [6, 387072000000, 1, 6], [6, 403200000000, 1, 3], [6, 430080000000, 1, 1], [6, 435456000000, 1, 1], [6, 453600000000, 1, 2], [6, 483840000000, 1, 5], [6, 537600000000, 1, 7], [6, 580608000000, 1, 7], [6, 604800000000, 1, 6], [6, 645120000000, 1, 4], [6, 680400000000, 1, 4], [6, 716800000000, 1, 6], [6, 774144000000, 1, 5], [6, 806400000000, 1, 3], [6, 870912000000, 1, 1], [6, 907200000000, 1, 4], [6, 1020600000000, 1, 2], [6, 1075200000000, 1, 3], [6, 1088640000000, 1, 1], [6, 1161216000000, 1, 2], [6, 1209600000000, 1, 15], [6, 1224720000000, 1, 1], [6, 1393459200000, 1, 2], [6, 1433600000000, 1, 1], [6, 1451520000000, 1, 1], [6, 1548288000000, 1, 1], [6, 1612800000000, 1, 3], [6, 1741824000000, 2, 1], [6, 1814400000000, 1, 2], [6, 1935360000000, 1, 4], [6, 2150400000000, 1, 5], [6, 2177280000000, 1, 1], [6, 2419200000000, 1, 4], [6, 2721600000000, 1, 2], [6, 2867200000000, 1, 1], [6, 2903040000000, 1, 2], [6, 3225600000000, 1, 6], [6, 3265920000000, 1, 1], [6, 3483648000000, 2, 1], [6, 3628800000000, 1, 3], [6, 3870720000000, 1, 5], [6, 4300800000000, 1, 1], [6, 4354560000000, 1, 4], [6, 4644864000000, 1, 2], [6, 4838400000000, 1, 6], [6, 5806080000000, 1, 6], [6, 6451200000000, 1, 1], [6, 6531840000000, 1, 1], [6, 6967296000000, 2, 1], [6, 7741440000000, 1, 8], [6, 8709120000000, 1, 4], [6, 9289728000000, 1, 2], [6, 10450944000000, 1, 2], [6, 10886400000000, 1, 1], [6, 11612160000000, 1, 7], [6, 12247200000000, 1, 1], [6, 15482880000000, 1, 3], [6, 18579456000000, 1, 4], [6, 19353600000000, 1, 3], [6, 20901888000000, 1, 2], [6, 21772800000000, 1, 1], [6, 23224320000000, 1, 1], [6, 23224320000000, 2, 1], [6, 27869184000000, 1, 3], [6, 29030400000000, 1, 1], [6, 38707200000000, 1, 4], [6, 43545600000000, 1, 3], [6, 58060800000000, 1, 1], [6, 65318400000000, 1, 1], [6, 77414400000000, 1, 3], [6, 87091200000000, 1, 3], [6, 116121600000000, 1, 5], [6, 116121600000000, 2, 1], [6, 139345920000000, 1, 6], [6, 139345920000000, 2, 1], [6, 154828800000000, 1, 2], [6, 185794560000000, 1, 3], [6, 232243200000000, 1, 1], [6, 278691840000000, 1, 6], [6, 313528320000000, 1, 2], [6, 334430208000000, 2, 1], [6, 371589120000000, 1, 2], [6, 418037760000000, 1, 3], [6, 464486400000000, 1, 1], [6, 557383680000000, 1, 2], [6, 696729600000000, 2, 1], [6, 1045094400000000, 1, 2], [6, 1857945600000000, 1, 3], [6, 2090188800000000, 1, 2], [6, 2351462400000000, 1, 1], [6, 2786918400000000, 1, 3], [6, 4180377600000000, 1, 5], [6, 5573836800000000, 1, 2], [6, 6270566400000000, 1, 1], [6, 6688604160000000, 2, 1], [7, 573308928000000, 1, 2], [8, 362880000, 1, 1], [8, 544320000, 1, 1], [8, 1451520000, 1, 1], [8, 4354560000, 1, 1], [8, 21772800000, 1, 3], [8, 32659200000, 1, 1], [8, 43545600000, 1, 1], [8, 65318400000, 1, 2], [8, 72576000000, 1, 1], [8, 108864000000, 1, 1], [8, 130636800000, 1, 1], [8, 145152000000, 1, 2], [8, 163296000000, 1, 1], [8, 217728000000, 1, 1], [8, 244944000000, 1, 1], [8, 326592000000, 1, 3], [8, 435456000000, 1, 2], [8, 489888000000, 1, 1], [8, 522547200000, 1, 1], [8, 653184000000, 1, 4], [8, 870912000000, 1, 2], [8, 979776000000, 1, 3], [8, 1306368000000, 1, 3], [8, 1959552000000, 1, 3], [8, 2177280000000, 1, 3], [8, 2612736000000, 1, 1], [8, 3265920000000, 1, 1], [8, 3483648000000, 1, 1], [8, 3628800000000, 1, 1], [8, 3919104000000, 1, 1], [8, 4354560000000, 1, 1], [8, 4898880000000, 1, 3], [8, 5225472000000, 1, 1], [8, 5225472000000, 2, 1], [8, 5443200000000, 1, 1], [8, 6531840000000, 1, 3], [8, 6967296000000, 1, 1], [8, 7348320000000, 1, 1], [8, 7838208000000, 1, 2], [8, 7838208000000, 2, 1], [8, 9797760000000, 1, 1], [8, 10450944000000, 1, 1], [8, 13063680000000, 1, 5], [8, 14696640000000, 1, 2], [8, 15676416000000, 1, 1], [8, 16329600000000, 1, 1], [8, 18370800000000, 1, 1], [8, 19595520000000, 1, 6], [8, 20901888000000, 1, 3], [8, 24494400000000, 1, 1], [8, 27556200000000, 1, 1], [8, 29393280000000, 1, 2], [8, 31352832000000, 1, 1], [8, 32659200000000, 1, 2], [8, 39191040000000, 1, 3], [8, 43545600000000, 1, 1], [8, 48988800000000, 1, 1], [8, 52254720000000, 1, 1], [8, 58786560000000, 1, 3], [8, 62705664000000, 1, 1], [8, 65318400000000, 1, 2], [8, 73483200000000, 1, 1], [8, 87091200000000, 2, 1], [8, 97977600000000, 1, 3], [8, 104509440000000, 1, 4], [8, 117573120000000, 1, 1], [8, 130636800000000, 1, 1], [8, 146966400000000, 1, 2], [8, 156764160000000, 1, 1], [8, 156764160000000, 2, 1], [8, 195955200000000, 1, 3], [8, 220449600000000, 1, 2], [8, 235146240000000, 1, 2], [8, 235146240000000, 2, 1], [8, 293932800000000, 1, 4], [8, 313528320000000, 1, 9], [8, 348364800000000, 1, 1], [8, 391910400000000, 1, 1], [8, 391910400000000, 2, 1], [8, 440899200000000, 1, 2], [8, 470292480000000, 1, 1], [8, 522547200000000, 2, 1], [8, 587865600000000, 1, 2], [8, 587865600000000, 2, 1], [8, 783820800000000, 1, 2], [8, 783820800000000, 2, 2], [8, 881798400000000, 1, 1], [8, 940584960000000, 1, 3], [8, 1045094400000000, 1, 1], [8, 1175731200000000, 1, 1], [8, 1175731200000000, 2, 1], [8, 1567641600000000, 1, 2], [8, 1567641600000000, 2, 1], [8, 1763596800000000, 1, 2], [8, 1763596800000000, 2, 1], [8, 2090188800000000, 1, 1], [8, 2351462400000000, 1, 1], [8, 3135283200000000, 1, 1], [8, 3527193600000000, 2, 1], [8, 3762339840000000, 2, 1], [8, 4702924800000000, 1, 5], [8, 4702924800000000, 2, 1], [8, 6270566400000000, 1, 1], [8, 7054387200000000, 1, 2], [8, 7524679680000000, 2, 1], [8, 9405849600000000, 1, 1], [8, 12541132800000000, 2, 1], [8, 14108774400000000, 1, 1], [8, 25082265600000000, 2, 1], [8, 28217548800000000, 2, 1], [8, 56435097600000000, 2, 1], [9, 1857945600000, 1, 1], [9, 18579456000000, 1, 1], [9, 37158912000000, 1, 2], [9, 743178240000000, 1, 2], [9, 7431782400000000, 1, 1], [10, 20160, 1, 1], [10, 403200, 1, 1], [10, 907200, 1, 1], [10, 1451520, 1, 1], [10, 4536000, 1, 1], [10, 4838400, 1, 1], [10, 6048000, 1, 1], [10, 10886400, 1, 1], [10, 11612160, 1, 1], [10, 13440000, 1, 1], [10, 18144000, 1, 1], [10, 19353600, 1, 1], [10, 24192000, 1, 1], [10, 29030400, 1, 1], [10, 43545600, 1, 1], [10, 46448640, 1, 1], [10, 53760000, 1, 1], [10, 58060800, 1, 1], [10, 68040000, 1, 1], [10, 181440000, 1, 1], [10, 272160000, 1, 1], [10, 278691840, 1, 1], [10, 290304000, 1, 1], [10, 309657600, 1, 1], [10, 348364800, 1, 1], [10, 362880000, 1, 2], [10, 435456000, 1, 1], [10, 464486400, 1, 1], [10, 483840000, 1, 1], [10, 580608000, 1, 2], [10, 604800000, 1, 1], [10, 653184000, 1, 1], [10, 696729600, 1, 2], [10, 870912000, 1, 1], [10, 1045094400, 1, 1], [10, 1114767360, 1, 1], [10, 1344000000, 1, 1], [10, 1393459200, 1, 1], [10, 1741824000, 1, 2], [10, 1935360000, 1, 1], [10, 2177280000, 1, 1], [10, 2419200000, 1, 1], [10, 2449440000, 1, 1], [10, 2721600000, 1, 1], [10, 2786918400, 1, 2], [10, 3061800000, 1, 1], [10, 4354560000, 1, 3], [10, 5443200000, 1, 2], [10, 5806080000, 1, 2], [10, 6270566400, 1, 1], [10, 6967296000, 1, 1], [10, 7741440000, 1, 1], [10, 9072000000, 1, 1], [10, 9797760000, 1, 1], [10, 10450944000, 1, 1], [10, 11147673600, 1, 1], [10, 11612160000, 1, 2], [10, 13063680000, 1, 2], [10, 13934592000, 1, 2], [10, 14515200000, 1, 1], [10, 15309000000, 1, 1], [10, 15676416000, 1, 1], [10, 16128000000, 1, 1], [10, 17418240000, 1, 1], [10, 20065812480, 1, 1], [10, 20160000000, 1, 1], [10, 20412000000, 1, 1], [10, 20901888000, 1, 2], [10, 25082265600, 1, 1], [10, 26127360000, 1, 2], [10, 30965760000, 1, 1], [10, 32805000000, 1, 1], [10, 33443020800, 1, 3], [10, 36288000000, 1, 1], [10, 39191040000, 1, 1], [10, 41803776000, 1, 2], [10, 45360000000, 1, 1], [10, 46448640000, 1, 1], [10, 58060800000, 1, 1], [10, 62705664000, 1, 1], [10, 65318400000, 1, 1], [10, 66886041600, 1, 1], [10, 69672960000, 1, 2], [10, 69672960000, 2, 1], [10, 73483200000, 1, 1], [10, 81648000000, 1, 1], [10, 83607552000, 1, 2], [10, 87091200000, 1, 1], [10, 100329062400, 2, 1], [10, 104509440000, 1, 1], [10, 108864000000, 1, 1], [10, 116121600000, 1, 1], [10, 130636800000, 1, 2], [10, 133772083200, 1, 1], [10, 139345920000, 1, 2], [10, 156764160000, 1, 3], [10, 160526499840, 1, 1], [10, 174182400000, 1, 2], [10, 181440000000, 1, 1], [10, 183708000000, 1, 1], [10, 185794560000, 1, 1], [10, 195955200000, 1, 1], [10, 209018880000, 1, 2], [10, 235146240000, 1, 1], [10, 244944000000, 1, 1], [10, 250822656000, 1, 1], [10, 278691840000, 1, 1], [10, 290304000000, 1, 1], [10, 300987187200, 1, 1], [10, 306180000000, 1, 1], [10, 313528320000, 1, 2], [10, 334430208000, 1, 1], [10, 348364800000, 1, 1], [10, 391910400000, 1, 1], [10, 401316249600, 1, 1], [10, 418037760000, 2, 1], [10, 435456000000, 1, 1], [10, 464486400000, 1, 1], [10, 501645312000, 1, 2], [10, 535088332800, 1, 1], [10, 550376570880, 1, 1], [10, 557383680000, 1, 1], [10, 587865600000, 1, 1], [10, 627056640000, 1, 2], [10, 802632499200, 1, 1], [10, 940584960000, 1, 1], [10, 979776000000, 1, 1], [10, 1003290624000, 1, 2], [10, 1045094400000, 1, 1], [10, 1203948748800, 1, 1], [10, 1254113280000, 1, 1], [10, 1306368000000, 1, 1], [10, 1469664000000, 1, 1], [10, 1504935936000, 1, 1], [10, 1567641600000, 1, 1], [10, 1605264998400, 1, 1], [10, 2006581248000, 1, 2], [10, 2090188800000, 1, 1], [10, 2508226560000, 1, 1], [10, 2508226560000, 2, 1], [10, 2612736000000, 1, 1], [10, 3344302080000, 1, 2], [10, 3483648000000, 1, 1], [10, 4180377600000, 1, 2], [10, 4702924800000, 1, 1], [10, 4815794995200, 2, 1], [10, 5016453120000, 2, 1], [10, 6688604160000, 1, 2], [10, 7524679680000, 1, 2], [10, 8360755200000, 1, 1], [10, 9405849600000, 1, 1], [10, 10032906240000, 2, 1], [10, 12039487488000, 1, 1], [10, 15049359360000, 1, 2], [10, 15676416000000, 1, 1], [10, 17635968000000, 1, 1], [10, 19263179980800, 1, 1], [10, 24078974976000, 1, 2], [10, 31352832000000, 1, 1], [10, 40131624960000, 1, 1], [10, 40131624960000, 2, 1], [10, 50164531200000, 1, 1], [10, 57789539942400, 2, 1], [10, 80263249920000, 1, 1], [10, 90296156160000, 1, 1], [10, 100329062400000, 1, 1], [10, 112870195200000, 1, 1], [10, 180592312320000, 1, 1], [10, 240789749760000, 2, 2], [10, 288947699712000, 1, 1], [10, 1444738498560000, 2, 1], [12, 33600, 1, 1], [12, 2016000, 1, 1], [12, 3024000, 1, 2], [12, 4032000, 1, 1], [12, 10080000, 1, 1], [12, 13440000, 1, 1], [12, 20160000, 1, 2], [12, 22680000, 1, 1], [12, 30240000, 1, 5], [12, 40320000, 1, 2], [12, 45360000, 1, 1], [12, 53760000, 1, 1], [12, 60480000, 1, 1], [12, 80640000, 1, 2], [12, 90720000, 1, 1], [12, 120960000, 1, 5], [12, 134400000, 1, 2], [12, 161280000, 1, 1], [12, 181440000, 1, 1], [12, 241920000, 1, 3], [12, 362880000, 1, 1], [12, 403200000, 1, 1], [12, 453600000, 1, 2], [12, 537600000, 1, 2], [12, 604800000, 1, 4], [12, 806400000, 1, 5], [12, 907200000, 1, 4], [12, 967680000, 1, 2], [12, 1008000000, 1, 1], [12, 1075200000, 1, 4], [12, 1209600000, 1, 11], [12, 1360800000, 1, 2], [12, 1451520000, 1, 2], [12, 1612800000, 1, 6], [12, 1814400000, 1, 11], [12, 1935360000, 1, 1], [12, 2419200000, 1, 13], [12, 2721600000, 1, 2], [12, 2903040000, 1, 2], [12, 3225600000, 1, 3], [12, 3628800000, 1, 8], [12, 4032000000, 1, 3], [12, 4536000000, 1, 1], [12, 4838400000, 1, 5], [12, 5103000000, 1, 1], [12, 5443200000, 1, 1], [12, 6048000000, 1, 6], [12, 7257600000, 1, 1], [12, 8064000000, 1, 8], [12, 9072000000, 1, 6], [12, 9676800000, 1, 2], [12, 10886400000, 1, 1], [12, 12096000000, 1, 14], [12, 13608000000, 1, 6], [12, 14515200000, 1, 9], [12, 16128000000, 1, 8], [12, 18144000000, 1, 14], [12, 19353600000, 1, 7], [12, 20160000000, 1, 1], [12, 20412000000, 1, 2], [12, 21772800000, 1, 2], [12, 24192000000, 1, 15], [12, 27216000000, 1, 16], [12, 29030400000, 1, 14], [12, 30240000000, 1, 2], [12, 32256000000, 1, 8], [12, 33600000000, 1, 1], [12, 36288000000, 1, 20], [12, 38707200000, 1, 4], [12, 40320000000, 1, 1], [12, 40824000000, 1, 4], [12, 43545600000, 1, 9], [12, 48384000000, 1, 31], [12, 53760000000, 1, 2], [12, 54432000000, 1, 6], [12, 58060800000, 1, 9], [12, 64512000000, 1, 5], [12, 72576000000, 1, 21], [12, 77414400000, 1, 1], [12, 81648000000, 1, 3], [12, 87091200000, 1, 4], [12, 90720000000, 1, 3], [12, 96768000000, 1, 11], [12, 102060000000, 1, 1], [12, 108864000000, 1, 14], [12, 116121600000, 1, 2], [12, 120960000000, 1, 10], [12, 134400000000, 1, 1], [12, 136080000000, 1, 4], [12, 145152000000, 1, 11], [12, 153090000000, 1, 2], [12, 161280000000, 1, 5], [12, 163296000000, 1, 3], [12, 181440000000, 1, 11], [12, 193536000000, 1, 12], [12, 201600000000, 1, 2], [12, 204120000000, 1, 1], [12, 217728000000, 1, 10], [12, 226800000000, 1, 1], [12, 241920000000, 1, 15], [12, 268800000000, 1, 2], [12, 272160000000, 1, 11], [12, 290304000000, 1, 23], [12, 302400000000, 1, 5], [12, 307200000000, 1, 1], [12, 322560000000, 1, 9], [12, 326592000000, 1, 5], [12, 362880000000, 1, 23], [12, 382725000000, 1, 1], [12, 387072000000, 1, 16], [12, 403200000000, 1, 1], [12, 408240000000, 1, 8], [12, 430080000000, 1, 2], [12, 435456000000, 1, 24], [12, 453600000000, 1, 3], [12, 483840000000, 1, 23], [12, 510300000000, 1, 1], [12, 537600000000, 1, 1], [12, 544320000000, 1, 16], [12, 580608000000, 1, 39], [12, 604800000000, 1, 1], [12, 612360000000, 1, 2], [12, 645120000000, 1, 7], [12, 653184000000, 1, 7], [12, 680400000000, 1, 1], [12, 696729600000, 1, 2], [12, 725760000000, 1, 29], [12, 774144000000, 1, 8], [12, 806400000000, 1, 2], [12, 816480000000, 1, 13], [12, 870912000000, 1, 31], [12, 907200000000, 1, 4], [12, 967680000000, 1, 27], [12, 1020600000000, 1, 2], [12, 1075200000000, 1, 4], [12, 1088640000000, 1, 24], [12, 1161216000000, 1, 22], [12, 1209600000000, 1, 5], [12, 1224720000000, 1, 1], [12, 1290240000000, 1, 3], [12, 1306368000000, 1, 10], [12, 1360800000000, 1, 4], [12, 1393459200000, 1, 1], [12, 1451520000000, 1, 34], [12, 1530900000000, 1, 5], [12, 1548288000000, 1, 2], [12, 1612800000000, 1, 7], [12, 1632960000000, 1, 5], [12, 1741824000000, 1, 16], [12, 1814400000000, 1, 15], [12, 1935360000000, 1, 18], [12, 2041200000000, 1, 3], [12, 2150400000000, 1, 2], [12, 2177280000000, 1, 14], [12, 2296350000000, 1, 1], [12, 2322432000000, 1, 6], [12, 2419200000000, 1, 14], [12, 2449440000000, 1, 3], [12, 2612736000000, 1, 3], [12, 2612736000000, 2, 1], [12, 2721600000000, 1, 16], [12, 2903040000000, 1, 28], [12, 3061800000000, 1, 2], [12, 3225600000000, 1, 5], [12, 3265920000000, 1, 19], [12, 3483648000000, 1, 4], [12, 3483648000000, 2, 2], [12, 3499200000000, 1, 1], [12, 3628800000000, 1, 22], [12, 3870720000000, 1, 11], [12, 4082400000000, 1, 8], [12, 4354560000000, 1, 29], [12, 4838400000000, 1, 26], [12, 4898880000000, 1, 3], [12, 5225472000000, 2, 1], [12, 5443200000000, 1, 11], [12, 5806080000000, 1, 39], [12, 6123600000000, 1, 7], [12, 6451200000000, 1, 6], [12, 6531840000000, 1, 16], [12, 7257600000000, 1, 23], [12, 7741440000000, 1, 23], [12, 8164800000000, 1, 16], [12, 8601600000000, 1, 1], [12, 8709120000000, 1, 53], [12, 9676800000000, 1, 14], [12, 9797760000000, 1, 8], [12, 10450944000000, 1, 1], [12, 10450944000000, 2, 1], [12, 10886400000000, 1, 32], [12, 11612160000000, 1, 51], [12, 12247200000000, 1, 5], [12, 12902400000000, 1, 2], [12, 13063680000000, 1, 30], [12, 13934592000000, 1, 8], [12, 14515200000000, 1, 26], [12, 15482880000000, 1, 10], [12, 16329600000000, 1, 17], [12, 17418240000000, 1, 56], [12, 18370800000000, 1, 2], [12, 19353600000000, 1, 21], [12, 19595520000000, 1, 7], [12, 20901888000000, 1, 4], [12, 21772800000000, 1, 19], [12, 23224320000000, 1, 32], [12, 24494400000000, 1, 8], [12, 26127360000000, 1, 29], [12, 27869184000000, 1, 9], [12, 29030400000000, 1, 28], [12, 30965760000000, 1, 1], [12, 32659200000000, 1, 9], [12, 34836480000000, 1, 27], [12, 34836480000000, 2, 1], [12, 36741600000000, 1, 1], [12, 38707200000000, 1, 12], [12, 39191040000000, 1, 5], [12, 39191040000000, 2, 1], [12, 41803776000000, 1, 4], [12, 43545600000000, 1, 33], [12, 46448640000000, 1, 4], [12, 48988800000000, 1, 6], [12, 52254720000000, 1, 7], [12, 52254720000000, 2, 1], [12, 55738368000000, 1, 3], [12, 58060800000000, 1, 23], [12, 58060800000000, 2, 1], [12, 65318400000000, 1, 27], [12, 69672960000000, 1, 4], [12, 73483200000000, 1, 1], [12, 77414400000000, 1, 10], [12, 78382080000000, 2, 1], [12, 83607552000000, 1, 2], [12, 87091200000000, 1, 33], [12, 97977600000000, 1, 14], [12, 104509440000000, 1, 2], [12, 104509440000000, 2, 3], [12, 116121600000000, 1, 38], [12, 116121600000000, 2, 1], [12, 130636800000000, 1, 30], [12, 139345920000000, 1, 5], [12, 139345920000000, 2, 2], [12, 146966400000000, 1, 4], [12, 154828800000000, 1, 10], [12, 156764160000000, 1, 2], [12, 156764160000000, 2, 1], [12, 174182400000000, 1, 47], [12, 174182400000000, 2, 1], [12, 195955200000000, 1, 19], [12, 195955200000000, 2, 1], [12, 209018880000000, 1, 7], [12, 209018880000000, 2, 1], [12, 232243200000000, 1, 30], [12, 232243200000000, 2, 1], [12, 261273600000000, 1, 32], [12, 278691840000000, 1, 12], [12, 293932800000000, 1, 4], [12, 309657600000000, 1, 3], [12, 313528320000000, 1, 2], [12, 348364800000000, 1, 42], [12, 348364800000000, 2, 4], [12, 391910400000000, 1, 9], [12, 391910400000000, 2, 1], [12, 418037760000000, 1, 22], [12, 464486400000000, 1, 10], [12, 522547200000000, 1, 23], [12, 522547200000000, 2, 1], [12, 557383680000000, 1, 10], [12, 587865600000000, 1, 1], [12, 627056640000000, 1, 4], [12, 696729600000000, 1, 7], [12, 696729600000000, 2, 2], [12, 783820800000000, 1, 7], [12, 783820800000000, 2, 3], [12, 836075520000000, 1, 10], [12, 928972800000000, 1, 1], [12, 1045094400000000, 1, 4], [12, 1114767360000000, 1, 2], [12, 1175731200000000, 2, 1], [12, 1254113280000000, 1, 6], [12, 1393459200000000, 1, 5], [12, 1393459200000000, 2, 3], [12, 1567641600000000, 2, 1], [12, 1672151040000000, 1, 3], [12, 2090188800000000, 1, 4], [12, 2090188800000000, 2, 3], [12, 2351462400000000, 1, 1], [12, 2786918400000000, 1, 3], [12, 3135283200000000, 1, 3], [12, 4180377600000000, 1, 9], [12, 5016453120000000, 2, 3], [12, 5573836800000000, 1, 10], [12, 6270566400000000, 1, 9], [12, 8360755200000000, 1, 13], [12, 9405849600000000, 1, 3], [12, 10032906240000000, 2, 1], [12, 11147673600000000, 1, 3], [12, 12541132800000000, 1, 6], [12, 16721510400000000, 1, 9], [12, 18811699200000000, 1, 2], [12, 25082265600000000, 1, 5], [12, 33443020800000000, 2, 1], [12, 37623398400000000, 1, 1], [12, 50164531200000000, 1, 1], [12, 50164531200000000, 2, 1], [12, 66886041600000000, 2, 1], [12, 75246796800000000, 2, 1], [12, 100329062400000000, 2, 2], [14, 8599633920000000, 1, 4], [14, 57330892800000000, 1, 2], [14, 128994508800000000, 1, 2], [15, 26880, 1, 1], [15, 1612800, 1, 1], [15, 1935360, 1, 1], [15, 10752000, 1, 1], [15, 15482880, 1, 1], [15, 19353600, 1, 1], [15, 43008000, 1, 1], [15, 61931520, 1, 1], [15, 77414400, 1, 1], [15, 215040000, 1, 1], [15, 371589120, 1, 1], [15, 860160000, 1, 1], [15, 1032192000, 1, 1], [15, 1238630400, 1, 1], [15, 1486356480, 1, 1], [15, 1548288000, 1, 1], [15, 1857945600, 1, 1], [15, 7741440000, 1, 1], [15, 11147673600, 1, 1], [15, 12902400000, 1, 1], [15, 24772608000, 1, 1], [15, 26754416640, 1, 1], [15, 30965760000, 1, 1], [15, 37158912000, 1, 1], [15, 44590694400, 1, 1], [15, 86016000000, 1, 1], [15, 123863040000, 1, 1], [15, 148635648000, 1, 1], [15, 214035333120, 1, 1], [15, 245760000000, 1, 1], [15, 309657600000, 1, 1], [15, 495452160000, 1, 1], [15, 535088332800, 1, 1], [15, 594542592000, 1, 1], [15, 733835427840, 1, 1], [15, 743178240000, 1, 1], [15, 1032192000000, 1, 1], [15, 2140353331200, 1, 1], [15, 2229534720000, 1, 2], [15, 2477260800000, 1, 1], [15, 2972712960000, 1, 1], [15, 3567255552000, 1, 1], [15, 26754416640000, 1, 2], [15, 44590694400000, 1, 3], [15, 53508833280000, 1, 2], [15, 891813888000000, 1, 1], [15, 1070176665600000, 1, 3], [15, 1284211998720000, 1, 2], [15, 7705271992320000, 2, 1], [15, 10701766656000000, 1, 1], [15, 25684239974400000, 1, 1], [16, 10450944000000, 1, 1], [16, 20901888000000, 1, 1], [16, 31352832000000, 1, 1], [16, 62705664000000, 1, 1], [16, 313528320000000, 1, 3], [16, 940584960000000, 1, 3], [16, 1045094400000000, 1, 1], [16, 2351462400000000, 1, 1], [16, 3135283200000000, 1, 1], [16, 4702924800000000, 1, 1], [16, 6270566400000000, 1, 1], [16, 7054387200000000, 1, 1], [16, 9405849600000000, 1, 1], [16, 14108774400000000, 1, 1], [16, 18811699200000000, 1, 1], [16, 28217548800000000, 1, 1], [16, 75246796800000000, 2, 1], [16, 112870195200000000, 2, 1], [16, 150493593600000000, 2, 1], [16, 225740390400000000, 2, 1], [18, 18579456000000, 1, 4], [18, 27869184000000, 1, 3], [18, 37158912000000, 1, 2], [18, 185794560000000, 1, 3], [18, 278691840000000, 1, 6], [18, 371589120000000, 1, 10], [18, 418037760000000, 1, 3], [18, 557383680000000, 1, 10], [18, 743178240000000, 1, 6], [18, 1857945600000000, 1, 3], [18, 2786918400000000, 1, 3], [18, 3715891200000000, 1, 4], [18, 4180377600000000, 1, 5], [18, 5573836800000000, 1, 10], [18, 6270566400000000, 1, 1], [18, 6688604160000000, 2, 1], [18, 7431782400000000, 1, 11], [18, 8360755200000000, 1, 4], [18, 11147673600000000, 1, 8], [18, 14863564800000000, 1, 2], [18, 133772083200000000, 2, 1], [20, 2419200, 1, 1], [20, 3628800, 1, 1], [20, 29030400, 1, 1], [20, 36288000, 1, 1], [20, 43545600, 1, 1], [20, 54432000, 1, 1], [20, 116121600, 1, 1], [20, 145152000, 1, 1], [20, 161280000, 1, 2], [20, 174182400, 1, 1], [20, 217728000, 1, 1], [20, 435456000, 1, 1], [20, 483840000, 1, 1], [20, 725760000, 1, 1], [20, 928972800, 1, 2], [20, 1088640000, 1, 4], [20, 1451520000, 1, 4], [20, 1632960000, 1, 1], [20, 1741824000, 1, 4], [20, 2177280000, 1, 1], [20, 2612736000, 1, 1], [20, 2786918400, 1, 2], [20, 3265920000, 1, 2], [20, 3483648000, 1, 1], [20, 4180377600, 1, 1], [20, 4354560000, 1, 2], [20, 5225472000, 1, 2], [20, 5806080000, 1, 2], [20, 7257600000, 1, 3], [20, 8709120000, 1, 1], [20, 10886400000, 1, 1], [20, 11612160000, 1, 4], [20, 13063680000, 1, 2], [20, 14515200000, 1, 1], [20, 16329600000, 1, 3], [20, 16721510400, 1, 1], [20, 17418240000, 1, 3], [20, 19595520000, 1, 1], [20, 20901888000, 1, 1], [20, 21772800000, 1, 3], [20, 23224320000, 1, 1], [20, 24192000000, 1, 1], [20, 24494400000, 1, 1], [20, 25082265600, 1, 1], [20, 26127360000, 1, 5], [20, 32659200000, 1, 1], [20, 34836480000, 1, 6], [20, 36288000000, 1, 1], [20, 39191040000, 1, 4], [20, 41803776000, 1, 5], [20, 43545600000, 1, 2], [20, 48988800000, 1, 3], [20, 52254720000, 1, 6], [20, 62705664000, 1, 1], [20, 65318400000, 1, 3], [20, 66886041600, 1, 1], [20, 69672960000, 1, 4], [20, 83607552000, 1, 1], [20, 87091200000, 1, 2], [20, 92897280000, 1, 2], [20, 100329062400, 1, 1], [20, 104509440000, 1, 4], [20, 108864000000, 1, 3], [20, 122472000000, 1, 1], [20, 125411328000, 1, 2], [20, 130636800000, 1, 1], [20, 139345920000, 1, 1], [20, 145152000000, 1, 3], [20, 156764160000, 1, 3], [20, 163296000000, 1, 1], [20, 174182400000, 1, 8], [20, 183708000000, 1, 1], [20, 195955200000, 1, 3], [20, 217728000000, 1, 1], [20, 261273600000, 1, 1], [20, 278691840000, 1, 3], [20, 290304000000, 1, 1], [20, 313528320000, 1, 1], [20, 326592000000, 1, 4], [20, 348364800000, 1, 7], [20, 362880000000, 1, 1], [20, 391910400000, 1, 6], [20, 418037760000, 1, 3], [20, 435456000000, 1, 2], [20, 489888000000, 1, 1], [20, 501645312000, 1, 2], [20, 522547200000, 1, 9], [20, 544320000000, 1, 3], [20, 557383680000, 1, 3], [20, 580608000000, 1, 1], [20, 587865600000, 1, 1], [20, 627056640000, 1, 8], [20, 653184000000, 1, 2], [20, 734832000000, 1, 2], [20, 752467968000, 1, 1], [20, 783820800000, 1, 4], [20, 802632499200, 1, 1], [20, 836075520000, 1, 10], [20, 940584960000, 1, 1], [20, 979776000000, 1, 4], [20, 1003290624000, 1, 2], [20, 1045094400000, 1, 14], [20, 1161216000000, 1, 3], [20, 1175731200000, 1, 3], [20, 1203948748800, 1, 1], [20, 1254113280000, 1, 5], [20, 1306368000000, 1, 4], [20, 1393459200000, 1, 2], [20, 1469664000000, 1, 1], [20, 1567641600000, 1, 7], [20, 1632960000000, 1, 1], [20, 1672151040000, 1, 6], [20, 1741824000000, 1, 1], [20, 1837080000000, 1, 1], [20, 1881169920000, 1, 2], [20, 1959552000000, 1, 3], [20, 2006581248000, 1, 1], [20, 2090188800000, 1, 2], [20, 2177280000000, 1, 3], [20, 2204496000000, 1, 1], [20, 2229534720000, 1, 1], [20, 2449440000000, 1, 1], [20, 2508226560000, 1, 4], [20, 2612736000000, 1, 8], [20, 2755620000000, 1, 1], [20, 2939328000000, 1, 2], [20, 3009871872000, 1, 1], [20, 3009871872000, 2, 1], [20, 3135283200000, 1, 5], [20, 3135283200000, 2, 1], [20, 3210529996800, 1, 1], [20, 3344302080000, 1, 1], [20, 3483648000000, 1, 7], [20, 3674160000000, 1, 1], [20, 3762339840000, 1, 2], [20, 3919104000000, 1, 4], [20, 4180377600000, 1, 6], [20, 4354560000000, 1, 1], [20, 4702924800000, 1, 3], [20, 4815794995200, 1, 1], [20, 4898880000000, 1, 5], [20, 5016453120000, 1, 2], [20, 5225472000000, 1, 10], [20, 5643509760000, 1, 1], [20, 5878656000000, 1, 4], [20, 6270566400000, 1, 1], [20, 6270566400000, 2, 1], [20, 6531840000000, 1, 1], [20, 6688604160000, 1, 2], [20, 6967296000000, 1, 3], [20, 7524679680000, 1, 1], [20, 7838208000000, 1, 6], [20, 8360755200000, 1, 6], [20, 8709120000000, 1, 1], [20, 8817984000000, 1, 2], [20, 9405849600000, 1, 6], [20, 10032906240000, 1, 1], [20, 10032906240000, 2, 1], [20, 10450944000000, 1, 4], [20, 11757312000000, 1, 4], [20, 12039487488000, 1, 1], [20, 12541132800000, 1, 11], [20, 12541132800000, 2, 1], [20, 13377208320000, 1, 1], [20, 13934592000000, 1, 1], [20, 14108774400000, 1, 1], [20, 14696640000000, 1, 3], [20, 15049359360000, 1, 4], [20, 15676416000000, 1, 16], [20, 17418240000000, 1, 3], [20, 18059231232000, 1, 1], [20, 18811699200000, 1, 3], [20, 19595520000000, 1, 4], [20, 20065812480000, 1, 9], [20, 20901888000000, 1, 2], [20, 22044960000000, 1, 1], [20, 22574039040000, 1, 1], [20, 22574039040000, 2, 1], [20, 23514624000000, 1, 8], [20, 24078974976000, 1, 1], [20, 25082265600000, 1, 16], [20, 27869184000000, 1, 1], [20, 29393280000000, 1, 1], [20, 30098718720000, 1, 3], [20, 31352832000000, 1, 5], [20, 35271936000000, 1, 2], [20, 37623398400000, 1, 6], [20, 39191040000000, 1, 4], [20, 40131624960000, 1, 4], [20, 41803776000000, 1, 3], [20, 41803776000000, 2, 1], [20, 44089920000000, 1, 1], [20, 47029248000000, 1, 2], [20, 47029248000000, 2, 1], [20, 50164531200000, 1, 2], [20, 52254720000000, 1, 6], [20, 60197437440000, 1, 2], [20, 62705664000000, 1, 5], [20, 70543872000000, 1, 1], [20, 72236924928000, 2, 1], [20, 75246796800000, 1, 2], [20, 75246796800000, 2, 1], [20, 78382080000000, 1, 3], [20, 83607552000000, 1, 4], [20, 94058496000000, 1, 2], [20, 94058496000000, 2, 1], [20, 100329062400000, 1, 3], [20, 104509440000000, 1, 2], [20, 112870195200000, 1, 2], [20, 117573120000000, 1, 6], [20, 125411328000000, 1, 5], [20, 141087744000000, 1, 3], [20, 150493593600000, 2, 2], [20, 156764160000000, 1, 4], [20, 160526499840000, 1, 1], [20, 167215104000000, 1, 4], [20, 176359680000000, 1, 2], [20, 188116992000000, 1, 6], [20, 188116992000000, 2, 1], [20, 200658124800000, 1, 1], [20, 225740390400000, 1, 1], [20, 235146240000000, 1, 2], [20, 235146240000000, 2, 1], [20, 240789749760000, 1, 1], [20, 240789749760000, 2, 2], [20, 250822656000000, 1, 1], [20, 282175488000000, 1, 3], [20, 300987187200000, 1, 6], [20, 300987187200000, 2, 1], [20, 313528320000000, 1, 2], [20, 352719360000000, 1, 3], [20, 361184624640000, 1, 2], [20, 376233984000000, 1, 8], [20, 451480780800000, 1, 2], [20, 470292480000000, 1, 3], [20, 481579499520000, 1, 2], [20, 501645312000000, 1, 6], [20, 501645312000000, 2, 1], [20, 564350976000000, 1, 1], [20, 564350976000000, 2, 1], [20, 601974374400000, 1, 6], [20, 601974374400000, 2, 1], [20, 627056640000000, 1, 1], [20, 627056640000000, 2, 1], [20, 722369249280000, 1, 1], [20, 752467968000000, 1, 3], [20, 902961561600000, 1, 2], [20, 963158999040000, 1, 1], [20, 1128701952000000, 1, 1], [20, 1128701952000000, 2, 1], [20, 1254113280000000, 1, 1], [20, 1410877440000000, 2, 1], [20, 2006581248000000, 1, 2], [20, 2257403904000000, 2, 1], [20, 2508226560000000, 1, 2], [20, 2821754880000000, 1, 1], [20, 3611846246400000, 2, 2], [20, 4013162496000000, 1, 1], [20, 4514807808000000, 1, 1], [20, 5778953994240000, 2, 1], [20, 6019743744000000, 2, 1], [20, 7524679680000000, 1, 2], [20, 9029615616000000, 1, 1], [20, 11287019520000000, 1, 1], [20, 12039487488000000, 1, 2], [20, 12039487488000000, 2, 1], [20, 14447384985600000, 1, 1], [20, 18059231232000000, 1, 1], [20, 72236924928000000, 2, 1], [20, 144473849856000000, 2, 1], [21, 11466178560000000, 1, 4], [21, 229323571200000000, 1, 2], [24, 725760000, 1, 1], [24, 2903040000, 1, 1], [24, 29030400000, 1, 3], [24, 43545600000, 1, 4], [24, 58060800000, 1, 4], [24, 87091200000, 1, 3], [24, 116121600000, 1, 1], [24, 145152000000, 1, 1], [24, 174182400000, 1, 1], [24, 290304000000, 1, 5], [24, 326592000000, 1, 1], [24, 435456000000, 1, 6], [24, 580608000000, 1, 10], [24, 653184000000, 1, 4], [24, 870912000000, 1, 14], [24, 1161216000000, 1, 9], [24, 1306368000000, 1, 7], [24, 1741824000000, 1, 15], [24, 2322432000000, 1, 2], [24, 2612736000000, 1, 8], [24, 2903040000000, 1, 3], [24, 3483648000000, 1, 4], [24, 4354560000000, 1, 4], [24, 5225472000000, 1, 1], [24, 5806080000000, 1, 4], [24, 6531840000000, 1, 3], [24, 6967296000000, 1, 2], [24, 7257600000000, 1, 1], [24, 8709120000000, 1, 15], [24, 9797760000000, 1, 4], [24, 10450944000000, 1, 2], [24, 10450944000000, 2, 1], [24, 11612160000000, 1, 12], [24, 13063680000000, 1, 14], [24, 13934592000000, 1, 3], [24, 17418240000000, 1, 28], [24, 19595520000000, 1, 4], [24, 20901888000000, 1, 2], [24, 23224320000000, 1, 13], [24, 26127360000000, 1, 30], [24, 27869184000000, 1, 1], [24, 29030400000000, 1, 3], [24, 32659200000000, 1, 1], [24, 34836480000000, 1, 24], [24, 36741600000000, 1, 1], [24, 39191040000000, 1, 12], [24, 41803776000000, 1, 3], [24, 43545600000000, 1, 6], [24, 46448640000000, 1, 2], [24, 52254720000000, 1, 19], [24, 58060800000000, 1, 8], [24, 65318400000000, 1, 6], [24, 69672960000000, 1, 6], [24, 78382080000000, 1, 6], [24, 87091200000000, 1, 10], [24, 97977600000000, 1, 6], [24, 104509440000000, 1, 3], [24, 116121600000000, 1, 8], [24, 130636800000000, 1, 15], [24, 139345920000000, 1, 3], [24, 146966400000000, 1, 2], [24, 174182400000000, 1, 20], [24, 195955200000000, 1, 9], [24, 209018880000000, 1, 12], [24, 209018880000000, 2, 1], [24, 232243200000000, 1, 8], [24, 261273600000000, 1, 26], [24, 278691840000000, 1, 6], [24, 293932800000000, 1, 4], [24, 313528320000000, 1, 5], [24, 313528320000000, 2, 2], [24, 348364800000000, 1, 23], [24, 391910400000000, 1, 19], [24, 418037760000000, 1, 13], [24, 418037760000000, 2, 1], [24, 464486400000000, 1, 5], [24, 522547200000000, 1, 30], [24, 522547200000000, 2, 1], [24, 557383680000000, 1, 3], [24, 587865600000000, 1, 6], [24, 627056640000000, 1, 9], [24, 696729600000000, 1, 14], [24, 696729600000000, 2, 1], [24, 783820800000000, 1, 18], [24, 836075520000000, 1, 7], [24, 1045094400000000, 1, 13], [24, 1045094400000000, 2, 2], [24, 1175731200000000, 1, 5], [24, 1254113280000000, 1, 3], [24, 1393459200000000, 1, 6], [24, 1567641600000000, 1, 7], [24, 1567641600000000, 2, 3], [24, 2090188800000000, 1, 7], [24, 2090188800000000, 2, 3], [24, 2351462400000000, 1, 2], [24, 2351462400000000, 2, 1], [24, 2786918400000000, 1, 7], [24, 3135283200000000, 1, 10], [24, 3135283200000000, 2, 4], [24, 4180377600000000, 1, 18], [24, 4180377600000000, 2, 3], [24, 4702924800000000, 1, 3], [24, 4702924800000000, 2, 1], [24, 5573836800000000, 1, 5], [24, 6270566400000000, 1, 15], [24, 6270566400000000, 2, 3], [24, 8360755200000000, 1, 13], [24, 9405849600000000, 1, 6], [24, 9405849600000000, 2, 1], [24, 11147673600000000, 1, 1], [24, 12541132800000000, 1, 13], [24, 16721510400000000, 1, 4], [24, 18811699200000000, 1, 4], [24, 25082265600000000, 1, 2], [24, 50164531200000000, 2, 2], [24, 75246796800000000, 2, 1], [24, 100329062400000000, 2, 4], [24, 150493593600000000, 2, 1], [24, 200658124800000000, 2, 1], [24, 300987187200000000, 2, 1], [28, 171992678400000000, 1, 4], [28, 515978035200000000, 1, 2], [30, 1612800, 1, 2], [30, 2419200, 1, 1], [30, 8064000, 1, 1], [30, 18144000, 1, 1], [30, 19353600, 1, 2], [30, 24192000, 1, 3], [30, 29030400, 1, 1], [30, 32256000, 1, 3], [30, 72576000, 1, 1], [30, 77414400, 1, 2], [30, 96768000, 1, 3], [30, 107520000, 1, 2], [30, 116121600, 1, 1], [30, 129024000, 1, 2], [30, 215040000, 1, 1], [30, 322560000, 1, 3], [30, 362880000, 1, 2], [30, 387072000, 1, 1], [30, 430080000, 1, 2], [30, 483840000, 1, 3], [30, 580608000, 1, 1], [30, 619315200, 1, 2], [30, 645120000, 1, 6], [30, 725760000, 1, 5], [30, 774144000, 1, 2], [30, 806400000, 1, 1], [30, 860160000, 1, 1], [30, 870912000, 1, 1], [30, 928972800, 1, 2], [30, 967680000, 1, 1], [30, 1088640000, 1, 1], [30, 1161216000, 1, 6], [30, 1238630400, 1, 1], [30, 1290240000, 1, 5], [30, 1451520000, 1, 5], [30, 1548288000, 1, 4], [30, 1741824000, 1, 2], [30, 1857945600, 1, 2], [30, 1935360000, 1, 9], [30, 2322432000, 1, 8], [30, 2580480000, 1, 3], [30, 2786918400, 1, 1], [30, 3096576000, 1, 3], [30, 3225600000, 1, 1], [30, 3628800000, 1, 1], [30, 3870720000, 1, 4], [30, 4082400000, 1, 1], [30, 4838400000, 1, 5], [30, 5806080000, 1, 1], [30, 6451200000, 1, 5], [30, 7257600000, 1, 3], [30, 7741440000, 1, 9], [30, 8709120000, 1, 3], [30, 9289728000, 1, 1], [30, 9676800000, 1, 9], [30, 10886400000, 1, 5], [30, 11147673600, 1, 2], [30, 11612160000, 1, 3], [30, 12902400000, 1, 7], [30, 13063680000, 1, 1], [30, 14515200000, 1, 7], [30, 15482880000, 1, 3], [30, 16128000000, 1, 3], [30, 16329600000, 1, 1], [30, 16721510400, 1, 1], [30, 17418240000, 1, 9], [30, 18579456000, 1, 2], [30, 19353600000, 1, 12], [30, 20901888000, 1, 1], [30, 21772800000, 1, 5], [30, 23224320000, 1, 16], [30, 24192000000, 1, 1], [30, 25804800000, 1, 9], [30, 26127360000, 1, 2], [30, 26880000000, 1, 1], [30, 27869184000, 1, 8], [30, 29030400000, 1, 11], [30, 30965760000, 1, 11], [30, 34836480000, 1, 8], [30, 37158912000, 1, 4], [30, 38707200000, 1, 12], [30, 41803776000, 1, 2], [30, 43008000000, 1, 2], [30, 44590694400, 1, 2], [30, 46448640000, 1, 18], [30, 51609600000, 1, 5], [30, 55738368000, 1, 9], [30, 58060800000, 1, 2], [30, 61931520000, 1, 4], [30, 64512000000, 1, 4], [30, 66886041600, 1, 1], [30, 69672960000, 1, 4], [30, 72576000000, 1, 5], [30, 74317824000, 1, 3], [30, 77414400000, 1, 3], [30, 81648000000, 1, 3], [30, 86016000000, 1, 1], [30, 87091200000, 1, 1], [30, 92897280000, 1, 3], [30, 96768000000, 1, 1], [30, 97977600000, 1, 1], [30, 107520000000, 1, 1], [30, 108864000000, 1, 3], [30, 111476736000, 1, 2], [30, 116121600000, 1, 7], [30, 122472000000, 1, 1], [30, 123863040000, 1, 2], [30, 129024000000, 1, 5], [30, 145152000000, 1, 11], [30, 154828800000, 1, 6], [30, 174182400000, 1, 3], [30, 181440000000, 1, 1], [30, 185794560000, 1, 3], [30, 193536000000, 1, 14], [30, 209018880000, 1, 2], [30, 217728000000, 1, 1], [30, 232243200000, 1, 13], [30, 241920000000, 1, 3], [30, 247726080000, 1, 2], [30, 250822656000, 1, 1], [30, 258048000000, 1, 10], [30, 261273600000, 1, 7], [30, 278691840000, 1, 10], [30, 290304000000, 1, 12], [30, 306180000000, 1, 1], [30, 309657600000, 1, 7], [30, 322560000000, 1, 2], [30, 326592000000, 1, 3], [30, 334430208000, 1, 3], [30, 348364800000, 1, 13], [30, 362880000000, 1, 2], [30, 371589120000, 1, 7], [30, 387072000000, 1, 9], [30, 391910400000, 1, 1], [30, 408240000000, 1, 1], [30, 418037760000, 1, 7], [30, 430080000000, 1, 1], [30, 435456000000, 1, 9], [30, 445906944000, 1, 3], [30, 464486400000, 1, 22], [30, 495452160000, 1, 1], [30, 516096000000, 1, 5], [30, 522547200000, 1, 9], [30, 535088332800, 1, 2], [30, 544320000000, 1, 1], [30, 557383680000, 1, 8], [30, 580608000000, 1, 12], [30, 619315200000, 1, 10], [30, 627056640000, 1, 1], [30, 645120000000, 1, 2], [30, 668860416000, 1, 3], [30, 696729600000, 1, 20], [30, 725760000000, 1, 3], [30, 743178240000, 1, 6], [30, 774144000000, 1, 17], [30, 783820800000, 1, 1], [30, 802632499200, 1, 1], [30, 836075520000, 1, 9], [30, 860160000000, 1, 4], [30, 870912000000, 1, 4], [30, 928972800000, 1, 29], [30, 967680000000, 1, 4], [30, 979776000000, 1, 3], [30, 1003290624000, 1, 1], [30, 1032192000000, 1, 6], [30, 1045094400000, 1, 2], [30, 1088640000000, 1, 3], [30, 1114767360000, 1, 18], [30, 1161216000000, 1, 3], [30, 1224720000000, 1, 3], [30, 1238630400000, 1, 7], [30, 1254113280000, 1, 1], [30, 1290240000000, 1, 5], [30, 1306368000000, 1, 1], [30, 1337720832000, 1, 7], [30, 1393459200000, 1, 8], [30, 1451520000000, 1, 7], [30, 1469664000000, 1, 1], [30, 1486356480000, 1, 5], [30, 1548288000000, 1, 5], [30, 1632960000000, 1, 3], [30, 1672151040000, 1, 6], [30, 1720320000000, 1, 2], [30, 1741824000000, 1, 10], [30, 1783627776000, 1, 2], [30, 1857945600000, 1, 7], [30, 1935360000000, 1, 5], [30, 2090188800000, 1, 3], [30, 2140353331200, 1, 2], [30, 2177280000000, 1, 5], [30, 2229534720000, 1, 6], [30, 2322432000000, 1, 9], [30, 2477260800000, 1, 2], [30, 2508226560000, 1, 3], [30, 2580480000000, 1, 3], [30, 2612736000000, 1, 2], [30, 2675441664000, 1, 2], [30, 2786918400000, 1, 5], [30, 2903040000000, 1, 10], [30, 2972712960000, 1, 1], [30, 3096576000000, 1, 11], [30, 3135283200000, 1, 1], [30, 3210529996800, 1, 1], [30, 3440640000000, 1, 2], [30, 3483648000000, 1, 7], [30, 3715891200000, 1, 5], [30, 3870720000000, 1, 10], [30, 3919104000000, 1, 3], [30, 4013162496000, 2, 1], [30, 4180377600000, 1, 4], [30, 4180377600000, 2, 1], [30, 4354560000000, 1, 5], [30, 4459069440000, 1, 4], [30, 4644864000000, 1, 15], [30, 4954521600000, 1, 4], [30, 5016453120000, 1, 1], [30, 5160960000000, 1, 6], [30, 5225472000000, 1, 9], [30, 5573836800000, 1, 9], [30, 5806080000000, 1, 10], [30, 5945425920000, 1, 1], [30, 6019743744000, 1, 1], [30, 6193152000000, 1, 1], [30, 6270566400000, 1, 5], [30, 6531840000000, 1, 2], [30, 6688604160000, 1, 3], [30, 6881280000000, 1, 1], [30, 6967296000000, 1, 15], [30, 7431782400000, 1, 4], [30, 7741440000000, 1, 5], [30, 7838208000000, 1, 3], [30, 8026324992000, 1, 3], [30, 8360755200000, 1, 11], [30, 8360755200000, 2, 1], [30, 8709120000000, 1, 3], [30, 8918138880000, 1, 1], [30, 9289728000000, 1, 19], [30, 9909043200000, 1, 2], [30, 10032906240000, 1, 3], [30, 10321920000000, 1, 1], [30, 10450944000000, 1, 9], [30, 10701766656000, 1, 2], [30, 11147673600000, 1, 16], [30, 11612160000000, 1, 5], [30, 12386304000000, 1, 6], [30, 12541132800000, 1, 4], [30, 13377208320000, 1, 9], [30, 13934592000000, 1, 20], [30, 14863564800000, 1, 3], [30, 15482880000000, 1, 4], [30, 16052649984000, 1, 1], [30, 16721510400000, 1, 12], [30, 16721510400000, 2, 1], [30, 17836277760000, 1, 2], [30, 18579456000000, 1, 19], [30, 20065812480000, 1, 6], [30, 20901888000000, 1, 2], [30, 22295347200000, 1, 18], [30, 25082265600000, 1, 2], [30, 26127360000000, 1, 1], [30, 26754416640000, 1, 9], [30, 27869184000000, 1, 10], [30, 29393280000000, 1, 1], [30, 32105299968000, 1, 3], [30, 33443020800000, 1, 12], [30, 34836480000000, 1, 1], [30, 37158912000000, 1, 2], [30, 40131624960000, 1, 2], [30, 40131624960000, 2, 1], [30, 41803776000000, 1, 1], [30, 44590694400000, 1, 3], [30, 46448640000000, 1, 4], [30, 52254720000000, 1, 1], [30, 53508833280000, 1, 1], [30, 55738368000000, 1, 5], [30, 62705664000000, 1, 4], [30, 66886041600000, 1, 2], [30, 69672960000000, 1, 2], [30, 78382080000000, 1, 1], [30, 83607552000000, 1, 2], [30, 83607552000000, 2, 1], [30, 92897280000000, 1, 5], [30, 94058496000000, 1, 1], [30, 96315899904000, 2, 1], [30, 100329062400000, 2, 1], [30, 104509440000000, 1, 4], [30, 111476736000000, 1, 7], [30, 125411328000000, 1, 4], [30, 133772083200000, 1, 2], [30, 139345920000000, 1, 6], [30, 150493593600000, 1, 2], [30, 156764160000000, 1, 1], [30, 160526499840000, 1, 3], [30, 167215104000000, 1, 7], [30, 167215104000000, 2, 1], [30, 185794560000000, 1, 8], [30, 188116992000000, 1, 1], [30, 200658124800000, 1, 6], [30, 200658124800000, 2, 1], [30, 209018880000000, 1, 4], [30, 222953472000000, 1, 12], [30, 240789749760000, 1, 1], [30, 250822656000000, 1, 1], [30, 267544166400000, 1, 9], [30, 278691840000000, 1, 7], [30, 300987187200000, 1, 2], [30, 321052999680000, 1, 3], [30, 334430208000000, 1, 7], [30, 334430208000000, 2, 1], [30, 371589120000000, 1, 3], [30, 385263599616000, 1, 1], [30, 401316249600000, 1, 3], [30, 401316249600000, 2, 1], [30, 445906944000000, 1, 11], [30, 481579499520000, 1, 2], [30, 501645312000000, 1, 7], [30, 535088332800000, 1, 4], [30, 557383680000000, 1, 1], [30, 557383680000000, 2, 1], [30, 642105999360000, 1, 1], [30, 668860416000000, 1, 8], [30, 802632499200000, 1, 7], [30, 802632499200000, 2, 1], [30, 891813888000000, 1, 2], [30, 1003290624000000, 2, 1], [30, 2006581248000000, 2, 1], [30, 2675441664000000, 1, 2], [30, 3344302080000000, 1, 6], [30, 3344302080000000, 2, 1], [30, 4013162496000000, 2, 1], [30, 4459069440000000, 1, 3], [30, 4815794995200000, 2, 1], [30, 5350883328000000, 1, 2], [30, 6019743744000000, 1, 2], [30, 6688604160000000, 1, 6], [30, 7524679680000000, 1, 2], [30, 8026324992000000, 2, 2], [30, 8918138880000000, 1, 2], [30, 10032906240000000, 1, 3], [30, 10701766656000000, 1, 4], [30, 12039487488000000, 1, 2], [30, 13377208320000000, 1, 2], [30, 16052649984000000, 1, 3], [30, 19263179980800000, 1, 2], [30, 160526499840000000, 2, 1], [30, 192631799808000000, 2, 1], [35, 13759414272000000, 1, 4], [35, 165112971264000000, 2, 2], [36, 55738368000000, 1, 3], [36, 557383680000000, 1, 6], [36, 836075520000000, 1, 6], [36, 1114767360000000, 1, 10], [36, 1672151040000000, 1, 3], [36, 5573836800000000, 1, 3], [36, 8360755200000000, 1, 6], [36, 11147673600000000, 1, 10], [36, 12541132800000000, 1, 3], [36, 16721510400000000, 1, 15], [36, 22295347200000000, 1, 8], [36, 25082265600000000, 1, 3], [36, 33443020800000000, 1, 4], [36, 50164531200000000, 1, 1], [36, 66886041600000000, 2, 1], [36, 100329062400000000, 2, 1], [36, 133772083200000000, 2, 1], [40, 34836480000, 1, 3], [40, 52254720000, 1, 1], [40, 69672960000, 1, 1], [40, 104509440000, 1, 2], [40, 209018880000, 1, 1], [40, 418037760000, 1, 1], [40, 522547200000, 1, 3], [40, 627056640000, 1, 1], [40, 783820800000, 1, 1], [40, 836075520000, 1, 3], [40, 1045094400000, 1, 6], [40, 1254113280000, 1, 1], [40, 1567641600000, 1, 3], [40, 1672151040000, 1, 2], [40, 2508226560000, 1, 2], [40, 3135283200000, 1, 5], [40, 3483648000000, 1, 3], [40, 5016453120000, 1, 2], [40, 5225472000000, 1, 1], [40, 6967296000000, 1, 1], [40, 7838208000000, 1, 3], [40, 10450944000000, 1, 3], [40, 11757312000000, 1, 1], [40, 12541132800000, 1, 4], [40, 15676416000000, 1, 6], [40, 18811699200000, 1, 1], [40, 20065812480000, 1, 3], [40, 20901888000000, 1, 5], [40, 23514624000000, 1, 3], [40, 25082265600000, 1, 7], [40, 30098718720000, 1, 1], [40, 31352832000000, 1, 6], [40, 37623398400000, 1, 3], [40, 40131624960000, 1, 1], [40, 41803776000000, 1, 1], [40, 47029248000000, 1, 6], [40, 52254720000000, 1, 3], [40, 60197437440000, 1, 2], [40, 62705664000000, 1, 4], [40, 75246796800000, 1, 5], [40, 78382080000000, 1, 1], [40, 83607552000000, 1, 2], [40, 94058496000000, 1, 4], [40, 104509440000000, 1, 1], [40, 117573120000000, 1, 3], [40, 120394874880000, 1, 2], [40, 125411328000000, 1, 1], [40, 141087744000000, 1, 1], [40, 150493593600000, 2, 1], [40, 156764160000000, 1, 3], [40, 167215104000000, 1, 3], [40, 176359680000000, 1, 1], [40, 180592312320000, 1, 1], [40, 188116992000000, 1, 3], [40, 235146240000000, 1, 1], [40, 250822656000000, 1, 3], [40, 250822656000000, 2, 1], [40, 282175488000000, 1, 1], [40, 300987187200000, 1, 3], [40, 313528320000000, 1, 5], [40, 352719360000000, 1, 2], [40, 376233984000000, 1, 8], [40, 376233984000000, 2, 1], [40, 451480780800000, 1, 1], [40, 470292480000000, 1, 6], [40, 481579499520000, 1, 1], [40, 501645312000000, 1, 9], [40, 564350976000000, 1, 3], [40, 601974374400000, 1, 2], [40, 705438720000000, 1, 2], [40, 752467968000000, 1, 3], [40, 902961561600000, 1, 2], [40, 940584960000000, 1, 3], [40, 1128701952000000, 1, 3], [40, 1254113280000000, 1, 1], [40, 1410877440000000, 1, 3], [40, 1444738498560000, 1, 1], [40, 1504935936000000, 1, 4], [40, 1805923123200000, 1, 1], [40, 2006581248000000, 1, 1], [40, 2257403904000000, 1, 1], [40, 2257403904000000, 2, 1], [40, 2508226560000000, 1, 4], [40, 2821754880000000, 1, 1], [40, 3009871872000000, 1, 1], [40, 3009871872000000, 2, 1], [40, 3611846246400000, 2, 1], [40, 3762339840000000, 1, 1], [40, 3762339840000000, 2, 1], [40, 4013162496000000, 1, 1], [40, 4514807808000000, 1, 1], [40, 4514807808000000, 2, 1], [40, 5643509760000000, 1, 2], [40, 5643509760000000, 2, 1], [40, 6019743744000000, 1, 1], [40, 7524679680000000, 1, 9], [40, 9029615616000000, 1, 1], [40, 11287019520000000, 1, 1], [40, 12039487488000000, 1, 3], [40, 18059231232000000, 1, 1], [40, 22574039040000000, 1, 3], [40, 36118462464000000, 1, 1], [40, 90296156160000000, 2, 1], [40, 180592312320000000, 2, 1], [42, 114661785600000000, 1, 4], [42, 171992678400000000, 1, 4], [42, 229323571200000000, 1, 2], [45, 44590694400000, 1, 3], [45, 891813888000000, 1, 5], [45, 1070176665600000, 1, 3], [45, 10701766656000000, 1, 1], [45, 17836277760000000, 1, 2], [45, 21403533312000000, 1, 2], [45, 25684239974400000, 1, 1], [48, 20901888000000, 1, 1], [48, 41803776000000, 1, 1], [48, 418037760000000, 1, 3], [48, 627056640000000, 1, 3], [48, 836075520000000, 1, 3], [48, 1254113280000000, 1, 3], [48, 2090188800000000, 1, 1], [48, 4180377600000000, 1, 3], [48, 4702924800000000, 1, 1], [48, 6270566400000000, 1, 3], [48, 8360755200000000, 1, 4], [48, 9405849600000000, 1, 1], [48, 12541132800000000, 1, 8], [48, 16721510400000000, 1, 1], [48, 18811699200000000, 1, 4], [48, 25082265600000000, 1, 2], [48, 37623398400000000, 1, 1], [48, 150493593600000000, 2, 1], [48, 300987187200000000, 2, 1], [60, 4838400, 1, 1], [60, 48384000, 1, 1], [60, 58060800, 1, 1], [60, 72576000, 1, 2], [60, 96768000, 1, 1], [60, 193536000, 1, 1], [60, 232243200, 1, 1], [60, 290304000, 1, 2], [60, 387072000, 1, 1], [60, 967680000, 1, 3], [60, 1290240000, 1, 2], [60, 1857945600, 1, 2], [60, 1935360000, 1, 7], [60, 2177280000, 1, 3], [60, 2322432000, 1, 3], [60, 2903040000, 1, 12], [60, 3483648000, 1, 4], [60, 3870720000, 1, 6], [60, 4354560000, 1, 4], [60, 4644864000, 1, 4], [60, 5573836800, 1, 1], [60, 5806080000, 1, 10], [60, 6967296000, 1, 3], [60, 7741440000, 1, 1], [60, 8709120000, 1, 2], [60, 9289728000, 1, 1], [60, 9676800000, 1, 3], [60, 11612160000, 1, 1], [60, 14515200000, 1, 4], [60, 19353600000, 1, 4], [60, 21772800000, 1, 3], [60, 23224320000, 1, 11], [60, 26127360000, 1, 1], [60, 29030400000, 1, 15], [60, 32659200000, 1, 4], [60, 33443020800, 1, 1], [60, 34836480000, 1, 9], [60, 38707200000, 1, 12], [60, 43545600000, 1, 14], [60, 46448640000, 1, 14], [60, 48384000000, 1, 1], [60, 52254720000, 1, 4], [60, 55738368000, 1, 3], [60, 58060800000, 1, 25], [60, 65318400000, 1, 5], [60, 69672960000, 1, 25], [60, 77414400000, 1, 13], [60, 83607552000, 1, 4], [60, 87091200000, 1, 21], [60, 92897280000, 1, 10], [60, 104509440000, 1, 6], [60, 111476736000, 1, 4], [60, 116121600000, 1, 19], [60, 130636800000, 1, 5], [60, 133772083200, 1, 1], [60, 139345920000, 1, 10], [60, 154828800000, 1, 2], [60, 167215104000, 1, 3], [60, 174182400000, 1, 8], [60, 185794560000, 1, 2], [60, 193536000000, 1, 7], [60, 209018880000, 1, 4], [60, 217728000000, 1, 3], [60, 222953472000, 1, 1], [60, 232243200000, 1, 8], [60, 244944000000, 1, 1], [60, 261273600000, 1, 3], [60, 278691840000, 1, 4], [60, 290304000000, 1, 10], [60, 348364800000, 1, 14], [60, 387072000000, 1, 10], [60, 418037760000, 1, 1], [60, 435456000000, 1, 15], [60, 464486400000, 1, 15], [60, 483840000000, 1, 1], [60, 522547200000, 1, 6], [60, 557383680000, 1, 9], [60, 580608000000, 1, 25], [60, 653184000000, 1, 10], [60, 668860416000, 1, 1], [60, 696729600000, 1, 44], [60, 725760000000, 1, 2], [60, 743178240000, 1, 2], [60, 774144000000, 1, 12], [60, 783820800000, 1, 4], [60, 836075520000, 1, 5], [60, 870912000000, 1, 27], [60, 928972800000, 1, 26], [60, 967680000000, 1, 1], [60, 979776000000, 1, 4], [60, 1003290624000, 1, 2], [60, 1045094400000, 1, 27], [60, 1114767360000, 1, 13], [60, 1161216000000, 1, 33], [60, 1254113280000, 1, 3], [60, 1290240000000, 1, 2], [60, 1306368000000, 1, 20], [60, 1337720832000, 1, 1], [60, 1393459200000, 1, 51], [60, 1548288000000, 1, 11], [60, 1567641600000, 1, 5], [60, 1605264998400, 1, 1], [60, 1672151040000, 1, 18], [60, 1741824000000, 1, 35], [60, 1857945600000, 1, 20], [60, 1959552000000, 1, 5], [60, 2090188800000, 1, 37], [60, 2177280000000, 1, 3], [60, 2229534720000, 1, 8], [60, 2322432000000, 1, 36], [60, 2449440000000, 1, 1], [60, 2508226560000, 1, 4], [60, 2612736000000, 1, 10], [60, 2675441664000, 1, 1], [60, 2786918400000, 1, 31], [60, 2903040000000, 1, 10], [60, 2939328000000, 1, 1], [60, 3096576000000, 1, 2], [60, 3135283200000, 1, 5], [60, 3265920000000, 1, 4], [60, 3344302080000, 1, 16], [60, 3483648000000, 1, 25], [60, 3674160000000, 1, 2], [60, 3715891200000, 1, 2], [60, 3870720000000, 1, 5], [60, 3919104000000, 1, 2], [60, 4013162496000, 1, 2], [60, 4180377600000, 1, 10], [60, 4354560000000, 1, 11], [60, 4459069440000, 1, 2], [60, 4644864000000, 1, 22], [60, 4898880000000, 1, 1], [60, 5016453120000, 1, 2], [60, 5225472000000, 1, 25], [60, 5350883328000, 1, 1], [60, 5573836800000, 1, 6], [60, 5806080000000, 1, 15], [60, 6270566400000, 1, 5], [60, 6421059993600, 1, 1], [60, 6531840000000, 1, 11], [60, 6688604160000, 1, 2], [60, 6967296000000, 1, 36], [60, 7431782400000, 1, 2], [60, 7524679680000, 1, 1], [60, 7741440000000, 1, 9], [60, 7838208000000, 1, 13], [60, 8360755200000, 1, 14], [60, 8709120000000, 1, 23], [60, 9289728000000, 1, 35], [60, 9797760000000, 1, 8], [60, 10032906240000, 1, 5], [60, 10321920000000, 1, 2], [60, 10450944000000, 1, 40], [60, 11147673600000, 1, 16], [60, 11612160000000, 1, 23], [60, 11757312000000, 1, 2], [60, 12541132800000, 1, 7], [60, 13063680000000, 1, 16], [60, 13377208320000, 1, 8], [60, 13934592000000, 1, 84], [60, 14696640000000, 1, 2], [60, 14863564800000, 1, 4], [60, 15049359360000, 1, 1], [60, 15482880000000, 1, 7], [60, 15676416000000, 1, 25], [60, 16052649984000, 1, 1], [60, 16721510400000, 1, 42], [60, 17418240000000, 1, 29], [60, 17836277760000, 1, 1], [60, 18579456000000, 1, 28], [60, 18811699200000, 1, 2], [60, 19595520000000, 1, 13], [60, 20065812480000, 1, 4], [60, 20901888000000, 1, 72], [60, 22295347200000, 1, 20], [60, 23224320000000, 1, 27], [60, 23514624000000, 1, 4], [60, 24078974976000, 1, 2], [60, 25082265600000, 1, 24], [60, 26127360000000, 1, 24], [60, 26754416640000, 1, 6], [60, 27869184000000, 1, 83], [60, 29393280000000, 1, 1], [60, 30098718720000, 1, 1], [60, 30965760000000, 1, 3], [60, 31352832000000, 1, 24], [60, 32105299968000, 1, 1], [60, 33443020800000, 1, 44], [60, 34836480000000, 1, 34], [60, 37158912000000, 1, 10], [60, 37623398400000, 1, 2], [60, 39191040000000, 1, 5], [60, 40131624960000, 1, 12], [60, 41803776000000, 1, 65], [60, 44590694400000, 1, 8], [60, 46448640000000, 1, 18], [60, 47029248000000, 1, 3], [60, 50164531200000, 1, 24], [60, 52254720000000, 1, 14], [60, 53508833280000, 1, 2], [60, 55738368000000, 1, 25], [60, 58786560000000, 1, 3], [60, 60197437440000, 1, 1], [60, 60197437440000, 2, 1], [60, 62705664000000, 1, 23], [60, 66886041600000, 1, 17], [60, 69672960000000, 1, 28], [60, 75246796800000, 1, 1], [60, 78382080000000, 1, 19], [60, 80263249920000, 1, 5], [60, 83607552000000, 1, 15], [60, 92897280000000, 1, 11], [60, 94058496000000, 1, 3], [60, 100329062400000, 1, 3], [60, 104509440000000, 1, 29], [60, 111476736000000, 1, 12], [60, 117573120000000, 1, 3], [60, 125411328000000, 1, 10], [60, 125411328000000, 2, 1], [60, 133772083200000, 1, 2], [60, 139345920000000, 1, 39], [60, 150493593600000, 1, 1], [60, 156764160000000, 1, 16], [60, 167215104000000, 1, 25], [60, 167215104000000, 2, 2], [60, 185794560000000, 1, 23], [60, 188116992000000, 1, 5], [60, 200658124800000, 1, 9], [60, 200658124800000, 2, 2], [60, 209018880000000, 1, 53], [60, 222953472000000, 1, 16], [60, 235146240000000, 1, 8], [60, 250822656000000, 1, 24], [60, 250822656000000, 2, 3], [60, 267544166400000, 1, 7], [60, 278691840000000, 1, 51], [60, 300987187200000, 1, 2], [60, 313528320000000, 1, 30], [60, 321052999680000, 1, 2], [60, 334430208000000, 1, 51], [60, 371589120000000, 1, 10], [60, 376233984000000, 1, 7], [60, 401316249600000, 1, 14], [60, 418037760000000, 1, 56], [60, 445906944000000, 1, 8], [60, 470292480000000, 1, 7], [60, 481579499520000, 1, 2], [60, 501645312000000, 1, 40], [60, 535088332800000, 1, 4], [60, 557383680000000, 1, 32], [60, 601974374400000, 1, 9], [60, 627056640000000, 1, 29], [60, 642105999360000, 1, 1], [60, 668860416000000, 1, 42], [60, 743178240000000, 1, 1], [60, 752467968000000, 1, 10], [60, 802632499200000, 1, 14], [60, 836075520000000, 1, 27], [60, 836075520000000, 2, 1], [60, 891813888000000, 1, 2], [60, 940584960000000, 1, 5], [60, 940584960000000, 2, 1], [60, 963158999040000, 1, 2], [60, 1003290624000000, 1, 20], [60, 1070176665600000, 1, 1], [60, 1114767360000000, 1, 4], [60, 1203948748800000, 1, 4], [60, 1254113280000000, 1, 7], [60, 1254113280000000, 2, 1], [60, 1337720832000000, 1, 12], [60, 1504935936000000, 1, 3], [60, 1504935936000000, 2, 1], [60, 1605264998400000, 1, 2], [60, 1672151040000000, 1, 4], [60, 1881169920000000, 2, 1], [60, 2006581248000000, 1, 10], [60, 2006581248000000, 2, 2], [60, 2508226560000000, 1, 2], [60, 2508226560000000, 2, 3], [60, 3009871872000000, 2, 2], [60, 3344302080000000, 1, 5], [60, 3344302080000000, 2, 2], [60, 3762339840000000, 1, 2], [60, 3762339840000000, 2, 1], [60, 4013162496000000, 2, 1], [60, 4815794995200000, 2, 2], [60, 5016453120000000, 1, 7], [60, 5016453120000000, 2, 1], [60, 6019743744000000, 2, 1], [60, 6688604160000000, 1, 12], [60, 7524679680000000, 1, 2], [60, 8026324992000000, 1, 7], [60, 10032906240000000, 1, 22], [60, 12039487488000000, 1, 4], [60, 13377208320000000, 1, 10], [60, 15049359360000000, 1, 4], [60, 16052649984000000, 1, 9], [60, 19263179980800000, 1, 1], [60, 20065812480000000, 1, 10], [60, 24078974976000000, 1, 4], [60, 26754416640000000, 1, 2], [60, 30098718720000000, 1, 6], [60, 32105299968000000, 1, 3], [60, 40131624960000000, 1, 3], [60, 48157949952000000, 1, 2], [60, 120394874880000000, 2, 3], [60, 240789749760000000, 2, 1], [70, 206391214080000000, 1, 4], [72, 200658124800000000, 2, 1], [80, 501645312000000, 1, 3], [80, 1504935936000000, 1, 3], [80, 6019743744000000, 1, 1], [80, 7524679680000000, 1, 3], [80, 12039487488000000, 1, 1], [80, 18059231232000000, 1, 1], [80, 22574039040000000, 1, 3], [80, 36118462464000000, 1, 1], [84, 343985356800000000, 1, 4], [90, 445906944000000, 1, 6], [90, 668860416000000, 1, 6], [90, 891813888000000, 1, 5], [90, 4459069440000000, 1, 3], [90, 6688604160000000, 1, 6], [90, 8918138880000000, 1, 10], [90, 10032906240000000, 1, 3], [90, 10701766656000000, 1, 4], [90, 13377208320000000, 1, 10], [90, 16052649984000000, 1, 3], [90, 17836277760000000, 1, 6], [90, 21403533312000000, 1, 2], [90, 160526499840000000, 2, 1], [105, 275188285440000000, 1, 4], [120, 69672960000, 1, 3], [120, 139345920000, 1, 1], [120, 696729600000, 1, 3], [120, 836075520000, 1, 1], [120, 1045094400000, 1, 4], [120, 1393459200000, 1, 9], [120, 1672151040000, 1, 3], [120, 2090188800000, 1, 9], [120, 2786918400000, 1, 6], [120, 3344302080000, 1, 2], [120, 4180377600000, 1, 5], [120, 6967296000000, 1, 3], [120, 13934592000000, 1, 12], [120, 15676416000000, 1, 3], [120, 16721510400000, 1, 3], [120, 20901888000000, 1, 20], [120, 25082265600000, 1, 4], [120, 27869184000000, 1, 18], [120, 31352832000000, 1, 9], [120, 33443020800000, 1, 9], [120, 40131624960000, 1, 3], [120, 41803776000000, 1, 33], [120, 50164531200000, 1, 9], [120, 55738368000000, 1, 7], [120, 62705664000000, 1, 18], [120, 66886041600000, 1, 6], [120, 69672960000000, 1, 3], [120, 80263249920000, 1, 1], [120, 83607552000000, 1, 11], [120, 100329062400000, 1, 5], [120, 104509440000000, 1, 4], [120, 125411328000000, 1, 3], [120, 139345920000000, 1, 4], [120, 156764160000000, 1, 3], [120, 167215104000000, 1, 5], [120, 188116992000000, 1, 1], [120, 209018880000000, 1, 15], [120, 235146240000000, 1, 4], [120, 240789749760000, 1, 1], [120, 250822656000000, 1, 6], [120, 278691840000000, 1, 12], [120, 313528320000000, 1, 14], [120, 334430208000000, 1, 16], [120, 376233984000000, 1, 4], [120, 401316249600000, 1, 3], [120, 418037760000000, 1, 28], [120, 470292480000000, 1, 4], [120, 501645312000000, 1, 18], [120, 501645312000000, 2, 1], [120, 557383680000000, 1, 13], [120, 601974374400000, 1, 4], [120, 627056640000000, 1, 30], [120, 668860416000000, 1, 12], [120, 752467968000000, 1, 7], [120, 802632499200000, 1, 4], [120, 836075520000000, 1, 24], [120, 940584960000000, 1, 12], [120, 963158999040000, 1, 1], [120, 1003290624000000, 1, 22], [120, 1114767360000000, 1, 2], [120, 1203948748800000, 1, 3], [120, 1254113280000000, 1, 19], [120, 1337720832000000, 1, 2], [120, 1504935936000000, 1, 8], [120, 1605264998400000, 1, 1], [120, 1672151040000000, 1, 6], [120, 1881169920000000, 1, 6], [120, 2006581248000000, 1, 4], [120, 2407897497600000, 1, 1], [120, 2508226560000000, 1, 3], [120, 3009871872000000, 1, 1], [120, 3009871872000000, 2, 1], [120, 3344302080000000, 1, 3], [120, 4013162496000000, 1, 2], [120, 5016453120000000, 1, 12], [120, 5016453120000000, 2, 1], [120, 6019743744000000, 1, 1], [120, 6019743744000000, 2, 1], [120, 6688604160000000, 1, 6], [120, 7524679680000000, 1, 5], [120, 7524679680000000, 2, 2], [120, 8026324992000000, 1, 3], [120, 10032906240000000, 1, 13], [120, 10032906240000000, 2, 1], [120, 12039487488000000, 1, 2], [120, 13377208320000000, 1, 3], [120, 15049359360000000, 1, 9], [120, 16052649984000000, 1, 1], [120, 20065812480000000, 1, 7], [120, 24078974976000000, 1, 3], [120, 30098718720000000, 1, 3], [180, 1337720832000000, 1, 6], [180, 13377208320000000, 1, 6], [180, 20065812480000000, 1, 6], [180, 26754416640000000, 1, 10], [180, 32105299968000000, 1, 3], [180, 40131624960000000, 1, 3], [240, 1003290624000000, 1, 3], [240, 10032906240000000, 1, 3], [240, 12039487488000000, 1, 1], [240, 15049359360000000, 1, 3], [240, 20065812480000000, 1, 3], [240, 24078974976000000, 1, 1], [240, 30098718720000000, 1, 3]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 120, 1], [2, 2800, 1], [2, 6300, 1], [2, 140000, 1], [2, 189000, 1], [2, 252000, 1], [2, 560000, 1], [2, 604800, 1], [2, 708750, 1], [2, 1890000, 1], [2, 2835000, 1], [2, 7560000, 1], [2, 8400000, 1], [2, 28000000, 1], [2, 33600000, 1], [2, 36288000, 1], [2, 42525000, 1], [2, 75600000, 1], [2, 100000000, 1], [2, 113400000, 1], [2, 120960000, 1], [2, 189000000, 1], [2, 241920000, 1], [2, 272160000, 1], [2, 318937500, 1], [2, 425250000, 1], [2, 544320000, 1], [2, 725760000, 2], [2, 756000000, 1], [2, 840000000, 1], [2, 1366875000, 1], [2, 1701000000, 1], [2, 1890000000, 1], [2, 2562890625, 1], [2, 3628800000, 1], [2, 4354560000, 2], [2, 6048000000, 1], [2, 6300000000, 1], [2, 7087500000, 1], [2, 7257600000, 1], [2, 7560000000, 1], [2, 8164800000, 1], [2, 12757500000, 1], [2, 27216000000, 1], [2, 28350000000, 1], [2, 30618000000, 1], [2, 31893750000, 1], [2, 54432000000, 1], [3, 160, 1], [3, 11200, 1], [3, 448000, 1], [3, 2240000, 1], [3, 8960000, 1], [3, 179200000, 1], [3, 1792000000, 1], [3, 10240000000, 1], [3, 25600000000, 1], [3, 46448640000, 1], [3, 1857945600000, 1], [3, 18579456000000, 1], [4, 16800, 1], [4, 25200, 1], [4, 1512000, 1], [4, 1680000, 1], [4, 2268000, 1], [4, 6720000, 1], [4, 7560000, 1], [4, 11340000, 2], [4, 15120000, 1], [4, 17010000, 1], [4, 18144000, 1], [4, 30240000, 1], [4, 45360000, 2], [4, 60480000, 2], [4, 68040000, 1], [4, 100800000, 2], [4, 136080000, 1], [4, 226800000, 2], [4, 302400000, 1], [4, 453600000, 1], [4, 483840000, 1], [4, 504000000, 1], [4, 680400000, 3], [4, 725760000, 1], [4, 756000000, 1], [4, 907200000, 4], [4, 1020600000, 1], [4, 1088640000, 2], [4, 1451520000, 2], [4, 2177280000, 1], [4, 2268000000, 1], [4, 2400000000, 1], [4, 2551500000, 1], [4, 2721600000, 2], [4, 3024000000, 1], [4, 3402000000, 1], [4, 3628800000, 2], [4, 3827250000, 1], [4, 4536000000, 2], [4, 6048000000, 1], [4, 6804000000, 4], [4, 7257600000, 3], [4, 8164800000, 2], [4, 9072000000, 1], [4, 10206000000, 1], [4, 12096000000, 1], [4, 14515200000, 1], [4, 15120000000, 1], [4, 15309000000, 2], [4, 16329600000, 1], [4, 20412000000, 2], [4, 21772800000, 6], [4, 22680000000, 3], [4, 24192000000, 1], [4, 25200000000, 1], [4, 27216000000, 4], [4, 32659200000, 2], [4, 34836480000, 1], [4, 40824000000, 3], [4, 43545600000, 4], [4, 48384000000, 1], [4, 54432000000, 2], [4, 61236000000, 2], [4, 65318400000, 2], [4, 68040000000, 1], [4, 72576000000, 2], [4, 76545000000, 1], [4, 85050000000, 1], [4, 90720000000, 3], [4, 102060000000, 1], [4, 108864000000, 5], [4, 113400000000, 2], [4, 114817500000, 1], [4, 122472000000, 1], [4, 145152000000, 2], [4, 151200000000, 1], [4, 153090000000, 1], [4, 163296000000, 2], [4, 170100000000, 1], [4, 181440000000, 1], [4, 191362500000, 1], [4, 204120000000, 5], [4, 217728000000, 5], [4, 244944000000, 3], [4, 261273600000, 2], [4, 272160000000, 1], [4, 287043750000, 1], [4, 290304000000, 1], [4, 326592000000, 4], [4, 340200000000, 1], [4, 362880000000, 1], [4, 382725000000, 1], [4, 435456000000, 1], [4, 453600000000, 1], [4, 489888000000, 3], [4, 522547200000, 1], [4, 574087500000, 1], [4, 604800000000, 1], [4, 612360000000, 3], [4, 653184000000, 6], [4, 656100000000, 1], [4, 680400000000, 1], [4, 725760000000, 3], [4, 765450000000, 1], [4, 816480000000, 4], [4, 870912000000, 4], [4, 918540000000, 1], [4, 979776000000, 3], [4, 1045094400000, 1], [4, 1224720000000, 1], [4, 1306368000000, 1], [4, 1360800000000, 3], [4, 1530900000000, 2], [4, 1632960000000, 4], [4, 1749600000000, 1], [4, 1837080000000, 1], [4, 1959552000000, 3], [4, 2041200000000, 2], [4, 2177280000000, 6], [4, 2296350000000, 1], [4, 2721600000000, 1], [4, 3061800000000, 2], [4, 3265920000000, 3], [4, 3483648000000, 2], [4, 3919104000000, 2], [4, 4354560000000, 2], [4, 4592700000000, 1], [4, 4898880000000, 6], [4, 5443200000000, 1], [4, 6123600000000, 2], [4, 6531840000000, 4], [4, 6889050000000, 1], [4, 6967296000000, 1], [4, 7257600000000, 3], [4, 7348320000000, 2], [4, 7838208000000, 1], [4, 9185400000000, 1], [4, 9797760000000, 4], [4, 10886400000000, 2], [4, 12247200000000, 1], [4, 13063680000000, 2], [4, 14696640000000, 3], [4, 15676416000000, 1], [4, 16329600000000, 2], [4, 19595520000000, 3], [4, 20901888000000, 2], [4, 21772800000000, 1], [4, 24494400000000, 3], [4, 26127360000000, 3], [4, 31352832000000, 1], [4, 32659200000000, 2], [4, 36741600000000, 3], [4, 43545600000000, 2], [4, 48988800000000, 3], [4, 52254720000000, 1], [4, 55112400000000, 1], [4, 58786560000000, 2], [4, 65318400000000, 2], [4, 73483200000000, 2], [4, 97977600000000, 1], [4, 104509440000000, 2], [4, 110224800000000, 2], [4, 117573120000000, 1], [4, 125411328000000, 2], [4, 146966400000000, 1], [4, 195955200000000, 4], [4, 220449600000000, 2], [4, 250822656000000, 2], [4, 293932800000000, 1], [4, 313528320000000, 2], [4, 470292480000000, 1], [4, 783820800000000, 1], [5, 192, 1], [5, 16128, 1], [5, 774144, 1], [5, 4644864, 1], [5, 18579456, 1], [5, 445906944, 1], [5, 5350883328, 1], [5, 36691771392, 1], [5, 55037657088, 2], [6, 11200, 2], [6, 16800, 1], [6, 336000, 1], [6, 756000, 1], [6, 1008000, 3], [6, 1120000, 1], [6, 1344000, 2], [6, 2240000, 1], [6, 3360000, 2], [6, 3780000, 1], [6, 4480000, 2], [6, 5040000, 1], [6, 6720000, 1], [6, 7560000, 3], [6, 8960000, 1], [6, 11200000, 1], [6, 13440000, 4], [6, 15120000, 1], [6, 17920000, 1], [6, 20160000, 3], [6, 24192000, 1], [6, 26880000, 1], [6, 30240000, 3], [6, 44800000, 1], [6, 48384000, 1], [6, 53760000, 2], [6, 56700000, 1], [6, 67200000, 2], [6, 80640000, 2], [6, 89600000, 2], [6, 134400000, 2], [6, 151200000, 3], [6, 179200000, 2], [6, 201600000, 3], [6, 226800000, 1], [6, 241920000, 1], [6, 268800000, 5], [6, 302400000, 4], [6, 336000000, 3], [6, 358400000, 4], [6, 403200000, 5], [6, 453600000, 3], [6, 483840000, 3], [6, 504000000, 1], [6, 537600000, 4], [6, 604800000, 5], [6, 716800000, 2], [6, 725760000, 1], [6, 806400000, 5], [6, 967680000, 3], [6, 1075200000, 3], [6, 1120000000, 1], [6, 1209600000, 3], [6, 1344000000, 4], [6, 1451520000, 2], [6, 1512000000, 3], [6, 1600000000, 1], [6, 1612800000, 3], [6, 1701000000, 3], [6, 1792000000, 2], [6, 1935360000, 1], [6, 2016000000, 1], [6, 2268000000, 1], [6, 2551500000, 1], [6, 2688000000, 3], [6, 3024000000, 10], [6, 4032000000, 5], [6, 4480000000, 1], [6, 4536000000, 2], [6, 4838400000, 2], [6, 5376000000, 11], [6, 6048000000, 4], [6, 6804000000, 3], [6, 7560000000, 1], [6, 8064000000, 8], [6, 9072000000, 5], [6, 9676800000, 2], [6, 10080000000, 3], [6, 10752000000, 1], [6, 10886400000, 2], [6, 11200000000, 2], [6, 12096000000, 12], [6, 12757500000, 1], [6, 13440000000, 2], [6, 14515200000, 6], [6, 15120000000, 2], [6, 16128000000, 9], [6, 16800000000, 1], [6, 17010000000, 1], [6, 17920000000, 1], [6, 18144000000, 3], [6, 19353600000, 9], [6, 21504000000, 6], [6, 21772800000, 2], [6, 22400000000, 2], [6, 22680000000, 1], [6, 24192000000, 2], [6, 25600000000, 1], [6, 26880000000, 2], [6, 27337500000, 1], [6, 29030400000, 3], [6, 30240000000, 3], [6, 32256000000, 5], [6, 35840000000, 4], [6, 37800000000, 1], [6, 38707200000, 4], [6, 40320000000, 4], [6, 44800000000, 1], [6, 45360000000, 3], [6, 48384000000, 5], [6, 51030000000, 3], [6, 53760000000, 5], [6, 56700000000, 1], [6, 58060800000, 3], [6, 60480000000, 7], [6, 67200000000, 1], [6, 68040000000, 3], [6, 71680000000, 2], [6, 72576000000, 1], [6, 75600000000, 3], [6, 80640000000, 5], [6, 89600000000, 2], [6, 90720000000, 5], [6, 96768000000, 5], [6, 102400000000, 1], [6, 107520000000, 3], [6, 108864000000, 4], [6, 113400000000, 2], [6, 120960000000, 10], [6, 127575000000, 3], [6, 134400000000, 2], [6, 143360000000, 2], [6, 145152000000, 2], [6, 151200000000, 1], [6, 153600000000, 1], [6, 161280000000, 10], [6, 163296000000, 1], [6, 170100000000, 2], [6, 179200000000, 4], [6, 181440000000, 5], [6, 193536000000, 7], [6, 201600000000, 2], [6, 215040000000, 6], [6, 217728000000, 4], [6, 226800000000, 2], [6, 241920000000, 10], [6, 255150000000, 1], [6, 268800000000, 1], [6, 272160000000, 2], [6, 286720000000, 1], [6, 290304000000, 7], [6, 302400000000, 6], [6, 322560000000, 5], [6, 326592000000, 1], [6, 340200000000, 1], [6, 348364800000, 2], [6, 358400000000, 1], [6, 362880000000, 3], [6, 387072000000, 6], [6, 403200000000, 3], [6, 430080000000, 1], [6, 435456000000, 1], [6, 453600000000, 2], [6, 483840000000, 5], [6, 537600000000, 7], [6, 580608000000, 7], [6, 604800000000, 6], [6, 645120000000, 4], [6, 680400000000, 4], [6, 716800000000, 6], [6, 774144000000, 5], [6, 806400000000, 3], [6, 870912000000, 1], [6, 907200000000, 4], [6, 1020600000000, 2], [6, 1075200000000, 3], [6, 1088640000000, 1], [6, 1161216000000, 2], [6, 1209600000000, 15], [6, 1224720000000, 1], [6, 1393459200000, 2], [6, 1433600000000, 1], [6, 1451520000000, 1], [6, 1548288000000, 1], [6, 1612800000000, 3], [6, 1741824000000, 2], [6, 1814400000000, 2], [6, 1935360000000, 4], [6, 2150400000000, 5], [6, 2177280000000, 1], [6, 2419200000000, 4], [6, 2721600000000, 2], [6, 2867200000000, 1], [6, 2903040000000, 2], [6, 3225600000000, 6], [6, 3265920000000, 1], [6, 3483648000000, 2], [6, 3628800000000, 3], [6, 3870720000000, 5], [6, 4300800000000, 1], [6, 4354560000000, 4], [6, 4644864000000, 2], [6, 4838400000000, 6], [6, 5806080000000, 6], [6, 6451200000000, 1], [6, 6531840000000, 1], [6, 6967296000000, 2], [6, 7741440000000, 8], [6, 8709120000000, 4], [6, 9289728000000, 2], [6, 10450944000000, 2], [6, 10886400000000, 1], [6, 11612160000000, 7], [6, 12247200000000, 1], [6, 15482880000000, 3], [6, 18579456000000, 4], [6, 19353600000000, 3], [6, 20901888000000, 2], [6, 21772800000000, 1], [6, 23224320000000, 3], [6, 27869184000000, 3], [6, 29030400000000, 1], [6, 38707200000000, 4], [6, 43545600000000, 3], [6, 58060800000000, 1], [6, 65318400000000, 1], [6, 77414400000000, 3], [6, 87091200000000, 3], [6, 116121600000000, 7], [6, 139345920000000, 8], [6, 154828800000000, 2], [6, 185794560000000, 3], [6, 232243200000000, 1], [6, 278691840000000, 6], [6, 313528320000000, 2], [6, 334430208000000, 2], [6, 371589120000000, 2], [6, 418037760000000, 3], [6, 464486400000000, 1], [6, 557383680000000, 2], [6, 696729600000000, 2], [6, 1045094400000000, 2], [6, 1857945600000000, 3], [6, 2090188800000000, 2], [6, 2351462400000000, 1], [6, 2786918400000000, 3], [6, 4180377600000000, 5], [6, 5573836800000000, 2], [6, 6270566400000000, 1], [6, 6688604160000000, 2], [7, 573308928000000, 2], [8, 362880000, 1], [8, 544320000, 1], [8, 1451520000, 1], [8, 4354560000, 1], [8, 21772800000, 3], [8, 32659200000, 1], [8, 43545600000, 1], [8, 65318400000, 2], [8, 72576000000, 1], [8, 108864000000, 1], [8, 130636800000, 1], [8, 145152000000, 2], [8, 163296000000, 1], [8, 217728000000, 1], [8, 244944000000, 1], [8, 326592000000, 3], [8, 435456000000, 2], [8, 489888000000, 1], [8, 522547200000, 1], [8, 653184000000, 4], [8, 870912000000, 2], [8, 979776000000, 3], [8, 1306368000000, 3], [8, 1959552000000, 3], [8, 2177280000000, 3], [8, 2612736000000, 1], [8, 3265920000000, 1], [8, 3483648000000, 1], [8, 3628800000000, 1], [8, 3919104000000, 1], [8, 4354560000000, 1], [8, 4898880000000, 3], [8, 5225472000000, 3], [8, 5443200000000, 1], [8, 6531840000000, 3], [8, 6967296000000, 1], [8, 7348320000000, 1], [8, 7838208000000, 4], [8, 9797760000000, 1], [8, 10450944000000, 1], [8, 13063680000000, 5], [8, 14696640000000, 2], [8, 15676416000000, 1], [8, 16329600000000, 1], [8, 18370800000000, 1], [8, 19595520000000, 6], [8, 20901888000000, 3], [8, 24494400000000, 1], [8, 27556200000000, 1], [8, 29393280000000, 2], [8, 31352832000000, 1], [8, 32659200000000, 2], [8, 39191040000000, 3], [8, 43545600000000, 1], [8, 48988800000000, 1], [8, 52254720000000, 1], [8, 58786560000000, 3], [8, 62705664000000, 1], [8, 65318400000000, 2], [8, 73483200000000, 1], [8, 87091200000000, 2], [8, 97977600000000, 3], [8, 104509440000000, 4], [8, 117573120000000, 1], [8, 130636800000000, 1], [8, 146966400000000, 2], [8, 156764160000000, 3], [8, 195955200000000, 3], [8, 220449600000000, 2], [8, 235146240000000, 4], [8, 293932800000000, 4], [8, 313528320000000, 9], [8, 348364800000000, 1], [8, 391910400000000, 3], [8, 440899200000000, 2], [8, 470292480000000, 1], [8, 522547200000000, 2], [8, 587865600000000, 4], [8, 783820800000000, 6], [8, 881798400000000, 1], [8, 940584960000000, 3], [8, 1045094400000000, 1], [8, 1175731200000000, 3], [8, 1567641600000000, 4], [8, 1763596800000000, 4], [8, 2090188800000000, 1], [8, 2351462400000000, 1], [8, 3135283200000000, 1], [8, 3527193600000000, 2], [8, 3762339840000000, 2], [8, 4702924800000000, 7], [8, 6270566400000000, 1], [8, 7054387200000000, 2], [8, 7524679680000000, 2], [8, 9405849600000000, 1], [8, 12541132800000000, 2], [8, 14108774400000000, 1], [8, 25082265600000000, 2], [8, 28217548800000000, 2], [8, 56435097600000000, 2], [9, 1857945600000, 1], [9, 18579456000000, 1], [9, 37158912000000, 2], [9, 743178240000000, 2], [9, 7431782400000000, 1], [10, 20160, 1], [10, 403200, 1], [10, 907200, 1], [10, 1451520, 1], [10, 4536000, 1], [10, 4838400, 1], [10, 6048000, 1], [10, 10886400, 1], [10, 11612160, 1], [10, 13440000, 1], [10, 18144000, 1], [10, 19353600, 1], [10, 24192000, 1], [10, 29030400, 1], [10, 43545600, 1], [10, 46448640, 1], [10, 53760000, 1], [10, 58060800, 1], [10, 68040000, 1], [10, 181440000, 1], [10, 272160000, 1], [10, 278691840, 1], [10, 290304000, 1], [10, 309657600, 1], [10, 348364800, 1], [10, 362880000, 2], [10, 435456000, 1], [10, 464486400, 1], [10, 483840000, 1], [10, 580608000, 2], [10, 604800000, 1], [10, 653184000, 1], [10, 696729600, 2], [10, 870912000, 1], [10, 1045094400, 1], [10, 1114767360, 1], [10, 1344000000, 1], [10, 1393459200, 1], [10, 1741824000, 2], [10, 1935360000, 1], [10, 2177280000, 1], [10, 2419200000, 1], [10, 2449440000, 1], [10, 2721600000, 1], [10, 2786918400, 2], [10, 3061800000, 1], [10, 4354560000, 3], [10, 5443200000, 2], [10, 5806080000, 2], [10, 6270566400, 1], [10, 6967296000, 1], [10, 7741440000, 1], [10, 9072000000, 1], [10, 9797760000, 1], [10, 10450944000, 1], [10, 11147673600, 1], [10, 11612160000, 2], [10, 13063680000, 2], [10, 13934592000, 2], [10, 14515200000, 1], [10, 15309000000, 1], [10, 15676416000, 1], [10, 16128000000, 1], [10, 17418240000, 1], [10, 20065812480, 1], [10, 20160000000, 1], [10, 20412000000, 1], [10, 20901888000, 2], [10, 25082265600, 1], [10, 26127360000, 2], [10, 30965760000, 1], [10, 32805000000, 1], [10, 33443020800, 3], [10, 36288000000, 1], [10, 39191040000, 1], [10, 41803776000, 2], [10, 45360000000, 1], [10, 46448640000, 1], [10, 58060800000, 1], [10, 62705664000, 1], [10, 65318400000, 1], [10, 66886041600, 1], [10, 69672960000, 4], [10, 73483200000, 1], [10, 81648000000, 1], [10, 83607552000, 2], [10, 87091200000, 1], [10, 100329062400, 2], [10, 104509440000, 1], [10, 108864000000, 1], [10, 116121600000, 1], [10, 130636800000, 2], [10, 133772083200, 1], [10, 139345920000, 2], [10, 156764160000, 3], [10, 160526499840, 1], [10, 174182400000, 2], [10, 181440000000, 1], [10, 183708000000, 1], [10, 185794560000, 1], [10, 195955200000, 1], [10, 209018880000, 2], [10, 235146240000, 1], [10, 244944000000, 1], [10, 250822656000, 1], [10, 278691840000, 1], [10, 290304000000, 1], [10, 300987187200, 1], [10, 306180000000, 1], [10, 313528320000, 2], [10, 334430208000, 1], [10, 348364800000, 1], [10, 391910400000, 1], [10, 401316249600, 1], [10, 418037760000, 2], [10, 435456000000, 1], [10, 464486400000, 1], [10, 501645312000, 2], [10, 535088332800, 1], [10, 550376570880, 1], [10, 557383680000, 1], [10, 587865600000, 1], [10, 627056640000, 2], [10, 802632499200, 1], [10, 940584960000, 1], [10, 979776000000, 1], [10, 1003290624000, 2], [10, 1045094400000, 1], [10, 1203948748800, 1], [10, 1254113280000, 1], [10, 1306368000000, 1], [10, 1469664000000, 1], [10, 1504935936000, 1], [10, 1567641600000, 1], [10, 1605264998400, 1], [10, 2006581248000, 2], [10, 2090188800000, 1], [10, 2508226560000, 3], [10, 2612736000000, 1], [10, 3344302080000, 2], [10, 3483648000000, 1], [10, 4180377600000, 2], [10, 4702924800000, 1], [10, 4815794995200, 2], [10, 5016453120000, 2], [10, 6688604160000, 2], [10, 7524679680000, 2], [10, 8360755200000, 1], [10, 9405849600000, 1], [10, 10032906240000, 2], [10, 12039487488000, 1], [10, 15049359360000, 2], [10, 15676416000000, 1], [10, 17635968000000, 1], [10, 19263179980800, 1], [10, 24078974976000, 2], [10, 31352832000000, 1], [10, 40131624960000, 3], [10, 50164531200000, 1], [10, 57789539942400, 2], [10, 80263249920000, 1], [10, 90296156160000, 1], [10, 100329062400000, 1], [10, 112870195200000, 1], [10, 180592312320000, 1], [10, 240789749760000, 4], [10, 288947699712000, 1], [10, 1444738498560000, 2], [12, 33600, 1], [12, 2016000, 1], [12, 3024000, 2], [12, 4032000, 1], [12, 10080000, 1], [12, 13440000, 1], [12, 20160000, 2], [12, 22680000, 1], [12, 30240000, 5], [12, 40320000, 2], [12, 45360000, 1], [12, 53760000, 1], [12, 60480000, 1], [12, 80640000, 2], [12, 90720000, 1], [12, 120960000, 5], [12, 134400000, 2], [12, 161280000, 1], [12, 181440000, 1], [12, 241920000, 3], [12, 362880000, 1], [12, 403200000, 1], [12, 453600000, 2], [12, 537600000, 2], [12, 604800000, 4], [12, 806400000, 5], [12, 907200000, 4], [12, 967680000, 2], [12, 1008000000, 1], [12, 1075200000, 4], [12, 1209600000, 11], [12, 1360800000, 2], [12, 1451520000, 2], [12, 1612800000, 6], [12, 1814400000, 11], [12, 1935360000, 1], [12, 2419200000, 13], [12, 2721600000, 2], [12, 2903040000, 2], [12, 3225600000, 3], [12, 3628800000, 8], [12, 4032000000, 3], [12, 4536000000, 1], [12, 4838400000, 5], [12, 5103000000, 1], [12, 5443200000, 1], [12, 6048000000, 6], [12, 7257600000, 1], [12, 8064000000, 8], [12, 9072000000, 6], [12, 9676800000, 2], [12, 10886400000, 1], [12, 12096000000, 14], [12, 13608000000, 6], [12, 14515200000, 9], [12, 16128000000, 8], [12, 18144000000, 14], [12, 19353600000, 7], [12, 20160000000, 1], [12, 20412000000, 2], [12, 21772800000, 2], [12, 24192000000, 15], [12, 27216000000, 16], [12, 29030400000, 14], [12, 30240000000, 2], [12, 32256000000, 8], [12, 33600000000, 1], [12, 36288000000, 20], [12, 38707200000, 4], [12, 40320000000, 1], [12, 40824000000, 4], [12, 43545600000, 9], [12, 48384000000, 31], [12, 53760000000, 2], [12, 54432000000, 6], [12, 58060800000, 9], [12, 64512000000, 5], [12, 72576000000, 21], [12, 77414400000, 1], [12, 81648000000, 3], [12, 87091200000, 4], [12, 90720000000, 3], [12, 96768000000, 11], [12, 102060000000, 1], [12, 108864000000, 14], [12, 116121600000, 2], [12, 120960000000, 10], [12, 134400000000, 1], [12, 136080000000, 4], [12, 145152000000, 11], [12, 153090000000, 2], [12, 161280000000, 5], [12, 163296000000, 3], [12, 181440000000, 11], [12, 193536000000, 12], [12, 201600000000, 2], [12, 204120000000, 1], [12, 217728000000, 10], [12, 226800000000, 1], [12, 241920000000, 15], [12, 268800000000, 2], [12, 272160000000, 11], [12, 290304000000, 23], [12, 302400000000, 5], [12, 307200000000, 1], [12, 322560000000, 9], [12, 326592000000, 5], [12, 362880000000, 23], [12, 382725000000, 1], [12, 387072000000, 16], [12, 403200000000, 1], [12, 408240000000, 8], [12, 430080000000, 2], [12, 435456000000, 24], [12, 453600000000, 3], [12, 483840000000, 23], [12, 510300000000, 1], [12, 537600000000, 1], [12, 544320000000, 16], [12, 580608000000, 39], [12, 604800000000, 1], [12, 612360000000, 2], [12, 645120000000, 7], [12, 653184000000, 7], [12, 680400000000, 1], [12, 696729600000, 2], [12, 725760000000, 29], [12, 774144000000, 8], [12, 806400000000, 2], [12, 816480000000, 13], [12, 870912000000, 31], [12, 907200000000, 4], [12, 967680000000, 27], [12, 1020600000000, 2], [12, 1075200000000, 4], [12, 1088640000000, 24], [12, 1161216000000, 22], [12, 1209600000000, 5], [12, 1224720000000, 1], [12, 1290240000000, 3], [12, 1306368000000, 10], [12, 1360800000000, 4], [12, 1393459200000, 1], [12, 1451520000000, 34], [12, 1530900000000, 5], [12, 1548288000000, 2], [12, 1612800000000, 7], [12, 1632960000000, 5], [12, 1741824000000, 16], [12, 1814400000000, 15], [12, 1935360000000, 18], [12, 2041200000000, 3], [12, 2150400000000, 2], [12, 2177280000000, 14], [12, 2296350000000, 1], [12, 2322432000000, 6], [12, 2419200000000, 14], [12, 2449440000000, 3], [12, 2612736000000, 5], [12, 2721600000000, 16], [12, 2903040000000, 28], [12, 3061800000000, 2], [12, 3225600000000, 5], [12, 3265920000000, 19], [12, 3483648000000, 8], [12, 3499200000000, 1], [12, 3628800000000, 22], [12, 3870720000000, 11], [12, 4082400000000, 8], [12, 4354560000000, 29], [12, 4838400000000, 26], [12, 4898880000000, 3], [12, 5225472000000, 2], [12, 5443200000000, 11], [12, 5806080000000, 39], [12, 6123600000000, 7], [12, 6451200000000, 6], [12, 6531840000000, 16], [12, 7257600000000, 23], [12, 7741440000000, 23], [12, 8164800000000, 16], [12, 8601600000000, 1], [12, 8709120000000, 53], [12, 9676800000000, 14], [12, 9797760000000, 8], [12, 10450944000000, 3], [12, 10886400000000, 32], [12, 11612160000000, 51], [12, 12247200000000, 5], [12, 12902400000000, 2], [12, 13063680000000, 30], [12, 13934592000000, 8], [12, 14515200000000, 26], [12, 15482880000000, 10], [12, 16329600000000, 17], [12, 17418240000000, 56], [12, 18370800000000, 2], [12, 19353600000000, 21], [12, 19595520000000, 7], [12, 20901888000000, 4], [12, 21772800000000, 19], [12, 23224320000000, 32], [12, 24494400000000, 8], [12, 26127360000000, 29], [12, 27869184000000, 9], [12, 29030400000000, 28], [12, 30965760000000, 1], [12, 32659200000000, 9], [12, 34836480000000, 29], [12, 36741600000000, 1], [12, 38707200000000, 12], [12, 39191040000000, 7], [12, 41803776000000, 4], [12, 43545600000000, 33], [12, 46448640000000, 4], [12, 48988800000000, 6], [12, 52254720000000, 9], [12, 55738368000000, 3], [12, 58060800000000, 25], [12, 65318400000000, 27], [12, 69672960000000, 4], [12, 73483200000000, 1], [12, 77414400000000, 10], [12, 78382080000000, 2], [12, 83607552000000, 2], [12, 87091200000000, 33], [12, 97977600000000, 14], [12, 104509440000000, 8], [12, 116121600000000, 40], [12, 130636800000000, 30], [12, 139345920000000, 9], [12, 146966400000000, 4], [12, 154828800000000, 10], [12, 156764160000000, 4], [12, 174182400000000, 49], [12, 195955200000000, 21], [12, 209018880000000, 9], [12, 232243200000000, 32], [12, 261273600000000, 32], [12, 278691840000000, 12], [12, 293932800000000, 4], [12, 309657600000000, 3], [12, 313528320000000, 2], [12, 348364800000000, 50], [12, 391910400000000, 11], [12, 418037760000000, 22], [12, 464486400000000, 10], [12, 522547200000000, 25], [12, 557383680000000, 10], [12, 587865600000000, 1], [12, 627056640000000, 4], [12, 696729600000000, 11], [12, 783820800000000, 13], [12, 836075520000000, 10], [12, 928972800000000, 1], [12, 1045094400000000, 4], [12, 1114767360000000, 2], [12, 1175731200000000, 2], [12, 1254113280000000, 6], [12, 1393459200000000, 11], [12, 1567641600000000, 2], [12, 1672151040000000, 3], [12, 2090188800000000, 10], [12, 2351462400000000, 1], [12, 2786918400000000, 3], [12, 3135283200000000, 3], [12, 4180377600000000, 9], [12, 5016453120000000, 6], [12, 5573836800000000, 10], [12, 6270566400000000, 9], [12, 8360755200000000, 13], [12, 9405849600000000, 3], [12, 10032906240000000, 2], [12, 11147673600000000, 3], [12, 12541132800000000, 6], [12, 16721510400000000, 9], [12, 18811699200000000, 2], [12, 25082265600000000, 5], [12, 33443020800000000, 2], [12, 37623398400000000, 1], [12, 50164531200000000, 3], [12, 66886041600000000, 2], [12, 75246796800000000, 2], [12, 100329062400000000, 4], [14, 8599633920000000, 4], [14, 57330892800000000, 2], [14, 128994508800000000, 2], [15, 26880, 1], [15, 1612800, 1], [15, 1935360, 1], [15, 10752000, 1], [15, 15482880, 1], [15, 19353600, 1], [15, 43008000, 1], [15, 61931520, 1], [15, 77414400, 1], [15, 215040000, 1], [15, 371589120, 1], [15, 860160000, 1], [15, 1032192000, 1], [15, 1238630400, 1], [15, 1486356480, 1], [15, 1548288000, 1], [15, 1857945600, 1], [15, 7741440000, 1], [15, 11147673600, 1], [15, 12902400000, 1], [15, 24772608000, 1], [15, 26754416640, 1], [15, 30965760000, 1], [15, 37158912000, 1], [15, 44590694400, 1], [15, 86016000000, 1], [15, 123863040000, 1], [15, 148635648000, 1], [15, 214035333120, 1], [15, 245760000000, 1], [15, 309657600000, 1], [15, 495452160000, 1], [15, 535088332800, 1], [15, 594542592000, 1], [15, 733835427840, 1], [15, 743178240000, 1], [15, 1032192000000, 1], [15, 2140353331200, 1], [15, 2229534720000, 2], [15, 2477260800000, 1], [15, 2972712960000, 1], [15, 3567255552000, 1], [15, 26754416640000, 2], [15, 44590694400000, 3], [15, 53508833280000, 2], [15, 891813888000000, 1], [15, 1070176665600000, 3], [15, 1284211998720000, 2], [15, 7705271992320000, 2], [15, 10701766656000000, 1], [15, 25684239974400000, 1], [16, 10450944000000, 1], [16, 20901888000000, 1], [16, 31352832000000, 1], [16, 62705664000000, 1], [16, 313528320000000, 3], [16, 940584960000000, 3], [16, 1045094400000000, 1], [16, 2351462400000000, 1], [16, 3135283200000000, 1], [16, 4702924800000000, 1], [16, 6270566400000000, 1], [16, 7054387200000000, 1], [16, 9405849600000000, 1], [16, 14108774400000000, 1], [16, 18811699200000000, 1], [16, 28217548800000000, 1], [16, 75246796800000000, 2], [16, 112870195200000000, 2], [16, 150493593600000000, 2], [16, 225740390400000000, 2], [18, 18579456000000, 4], [18, 27869184000000, 3], [18, 37158912000000, 2], [18, 185794560000000, 3], [18, 278691840000000, 6], [18, 371589120000000, 10], [18, 418037760000000, 3], [18, 557383680000000, 10], [18, 743178240000000, 6], [18, 1857945600000000, 3], [18, 2786918400000000, 3], [18, 3715891200000000, 4], [18, 4180377600000000, 5], [18, 5573836800000000, 10], [18, 6270566400000000, 1], [18, 6688604160000000, 2], [18, 7431782400000000, 11], [18, 8360755200000000, 4], [18, 11147673600000000, 8], [18, 14863564800000000, 2], [18, 133772083200000000, 2], [20, 2419200, 1], [20, 3628800, 1], [20, 29030400, 1], [20, 36288000, 1], [20, 43545600, 1], [20, 54432000, 1], [20, 116121600, 1], [20, 145152000, 1], [20, 161280000, 2], [20, 174182400, 1], [20, 217728000, 1], [20, 435456000, 1], [20, 483840000, 1], [20, 725760000, 1], [20, 928972800, 2], [20, 1088640000, 4], [20, 1451520000, 4], [20, 1632960000, 1], [20, 1741824000, 4], [20, 2177280000, 1], [20, 2612736000, 1], [20, 2786918400, 2], [20, 3265920000, 2], [20, 3483648000, 1], [20, 4180377600, 1], [20, 4354560000, 2], [20, 5225472000, 2], [20, 5806080000, 2], [20, 7257600000, 3], [20, 8709120000, 1], [20, 10886400000, 1], [20, 11612160000, 4], [20, 13063680000, 2], [20, 14515200000, 1], [20, 16329600000, 3], [20, 16721510400, 1], [20, 17418240000, 3], [20, 19595520000, 1], [20, 20901888000, 1], [20, 21772800000, 3], [20, 23224320000, 1], [20, 24192000000, 1], [20, 24494400000, 1], [20, 25082265600, 1], [20, 26127360000, 5], [20, 32659200000, 1], [20, 34836480000, 6], [20, 36288000000, 1], [20, 39191040000, 4], [20, 41803776000, 5], [20, 43545600000, 2], [20, 48988800000, 3], [20, 52254720000, 6], [20, 62705664000, 1], [20, 65318400000, 3], [20, 66886041600, 1], [20, 69672960000, 4], [20, 83607552000, 1], [20, 87091200000, 2], [20, 92897280000, 2], [20, 100329062400, 1], [20, 104509440000, 4], [20, 108864000000, 3], [20, 122472000000, 1], [20, 125411328000, 2], [20, 130636800000, 1], [20, 139345920000, 1], [20, 145152000000, 3], [20, 156764160000, 3], [20, 163296000000, 1], [20, 174182400000, 8], [20, 183708000000, 1], [20, 195955200000, 3], [20, 217728000000, 1], [20, 261273600000, 1], [20, 278691840000, 3], [20, 290304000000, 1], [20, 313528320000, 1], [20, 326592000000, 4], [20, 348364800000, 7], [20, 362880000000, 1], [20, 391910400000, 6], [20, 418037760000, 3], [20, 435456000000, 2], [20, 489888000000, 1], [20, 501645312000, 2], [20, 522547200000, 9], [20, 544320000000, 3], [20, 557383680000, 3], [20, 580608000000, 1], [20, 587865600000, 1], [20, 627056640000, 8], [20, 653184000000, 2], [20, 734832000000, 2], [20, 752467968000, 1], [20, 783820800000, 4], [20, 802632499200, 1], [20, 836075520000, 10], [20, 940584960000, 1], [20, 979776000000, 4], [20, 1003290624000, 2], [20, 1045094400000, 14], [20, 1161216000000, 3], [20, 1175731200000, 3], [20, 1203948748800, 1], [20, 1254113280000, 5], [20, 1306368000000, 4], [20, 1393459200000, 2], [20, 1469664000000, 1], [20, 1567641600000, 7], [20, 1632960000000, 1], [20, 1672151040000, 6], [20, 1741824000000, 1], [20, 1837080000000, 1], [20, 1881169920000, 2], [20, 1959552000000, 3], [20, 2006581248000, 1], [20, 2090188800000, 2], [20, 2177280000000, 3], [20, 2204496000000, 1], [20, 2229534720000, 1], [20, 2449440000000, 1], [20, 2508226560000, 4], [20, 2612736000000, 8], [20, 2755620000000, 1], [20, 2939328000000, 2], [20, 3009871872000, 3], [20, 3135283200000, 7], [20, 3210529996800, 1], [20, 3344302080000, 1], [20, 3483648000000, 7], [20, 3674160000000, 1], [20, 3762339840000, 2], [20, 3919104000000, 4], [20, 4180377600000, 6], [20, 4354560000000, 1], [20, 4702924800000, 3], [20, 4815794995200, 1], [20, 4898880000000, 5], [20, 5016453120000, 2], [20, 5225472000000, 10], [20, 5643509760000, 1], [20, 5878656000000, 4], [20, 6270566400000, 3], [20, 6531840000000, 1], [20, 6688604160000, 2], [20, 6967296000000, 3], [20, 7524679680000, 1], [20, 7838208000000, 6], [20, 8360755200000, 6], [20, 8709120000000, 1], [20, 8817984000000, 2], [20, 9405849600000, 6], [20, 10032906240000, 3], [20, 10450944000000, 4], [20, 11757312000000, 4], [20, 12039487488000, 1], [20, 12541132800000, 13], [20, 13377208320000, 1], [20, 13934592000000, 1], [20, 14108774400000, 1], [20, 14696640000000, 3], [20, 15049359360000, 4], [20, 15676416000000, 16], [20, 17418240000000, 3], [20, 18059231232000, 1], [20, 18811699200000, 3], [20, 19595520000000, 4], [20, 20065812480000, 9], [20, 20901888000000, 2], [20, 22044960000000, 1], [20, 22574039040000, 3], [20, 23514624000000, 8], [20, 24078974976000, 1], [20, 25082265600000, 16], [20, 27869184000000, 1], [20, 29393280000000, 1], [20, 30098718720000, 3], [20, 31352832000000, 5], [20, 35271936000000, 2], [20, 37623398400000, 6], [20, 39191040000000, 4], [20, 40131624960000, 4], [20, 41803776000000, 5], [20, 44089920000000, 1], [20, 47029248000000, 4], [20, 50164531200000, 2], [20, 52254720000000, 6], [20, 60197437440000, 2], [20, 62705664000000, 5], [20, 70543872000000, 1], [20, 72236924928000, 2], [20, 75246796800000, 4], [20, 78382080000000, 3], [20, 83607552000000, 4], [20, 94058496000000, 4], [20, 100329062400000, 3], [20, 104509440000000, 2], [20, 112870195200000, 2], [20, 117573120000000, 6], [20, 125411328000000, 5], [20, 141087744000000, 3], [20, 150493593600000, 4], [20, 156764160000000, 4], [20, 160526499840000, 1], [20, 167215104000000, 4], [20, 176359680000000, 2], [20, 188116992000000, 8], [20, 200658124800000, 1], [20, 225740390400000, 1], [20, 235146240000000, 4], [20, 240789749760000, 5], [20, 250822656000000, 1], [20, 282175488000000, 3], [20, 300987187200000, 8], [20, 313528320000000, 2], [20, 352719360000000, 3], [20, 361184624640000, 2], [20, 376233984000000, 8], [20, 451480780800000, 2], [20, 470292480000000, 3], [20, 481579499520000, 2], [20, 501645312000000, 8], [20, 564350976000000, 3], [20, 601974374400000, 8], [20, 627056640000000, 3], [20, 722369249280000, 1], [20, 752467968000000, 3], [20, 902961561600000, 2], [20, 963158999040000, 1], [20, 1128701952000000, 3], [20, 1254113280000000, 1], [20, 1410877440000000, 2], [20, 2006581248000000, 2], [20, 2257403904000000, 2], [20, 2508226560000000, 2], [20, 2821754880000000, 1], [20, 3611846246400000, 4], [20, 4013162496000000, 1], [20, 4514807808000000, 1], [20, 5778953994240000, 2], [20, 6019743744000000, 2], [20, 7524679680000000, 2], [20, 9029615616000000, 1], [20, 11287019520000000, 1], [20, 12039487488000000, 4], [20, 14447384985600000, 1], [20, 18059231232000000, 1], [20, 72236924928000000, 2], [20, 144473849856000000, 2], [21, 11466178560000000, 4], [21, 229323571200000000, 2], [24, 725760000, 1], [24, 2903040000, 1], [24, 29030400000, 3], [24, 43545600000, 4], [24, 58060800000, 4], [24, 87091200000, 3], [24, 116121600000, 1], [24, 145152000000, 1], [24, 174182400000, 1], [24, 290304000000, 5], [24, 326592000000, 1], [24, 435456000000, 6], [24, 580608000000, 10], [24, 653184000000, 4], [24, 870912000000, 14], [24, 1161216000000, 9], [24, 1306368000000, 7], [24, 1741824000000, 15], [24, 2322432000000, 2], [24, 2612736000000, 8], [24, 2903040000000, 3], [24, 3483648000000, 4], [24, 4354560000000, 4], [24, 5225472000000, 1], [24, 5806080000000, 4], [24, 6531840000000, 3], [24, 6967296000000, 2], [24, 7257600000000, 1], [24, 8709120000000, 15], [24, 9797760000000, 4], [24, 10450944000000, 4], [24, 11612160000000, 12], [24, 13063680000000, 14], [24, 13934592000000, 3], [24, 17418240000000, 28], [24, 19595520000000, 4], [24, 20901888000000, 2], [24, 23224320000000, 13], [24, 26127360000000, 30], [24, 27869184000000, 1], [24, 29030400000000, 3], [24, 32659200000000, 1], [24, 34836480000000, 24], [24, 36741600000000, 1], [24, 39191040000000, 12], [24, 41803776000000, 3], [24, 43545600000000, 6], [24, 46448640000000, 2], [24, 52254720000000, 19], [24, 58060800000000, 8], [24, 65318400000000, 6], [24, 69672960000000, 6], [24, 78382080000000, 6], [24, 87091200000000, 10], [24, 97977600000000, 6], [24, 104509440000000, 3], [24, 116121600000000, 8], [24, 130636800000000, 15], [24, 139345920000000, 3], [24, 146966400000000, 2], [24, 174182400000000, 20], [24, 195955200000000, 9], [24, 209018880000000, 14], [24, 232243200000000, 8], [24, 261273600000000, 26], [24, 278691840000000, 6], [24, 293932800000000, 4], [24, 313528320000000, 9], [24, 348364800000000, 23], [24, 391910400000000, 19], [24, 418037760000000, 15], [24, 464486400000000, 5], [24, 522547200000000, 32], [24, 557383680000000, 3], [24, 587865600000000, 6], [24, 627056640000000, 9], [24, 696729600000000, 16], [24, 783820800000000, 18], [24, 836075520000000, 7], [24, 1045094400000000, 17], [24, 1175731200000000, 5], [24, 1254113280000000, 3], [24, 1393459200000000, 6], [24, 1567641600000000, 13], [24, 2090188800000000, 13], [24, 2351462400000000, 4], [24, 2786918400000000, 7], [24, 3135283200000000, 18], [24, 4180377600000000, 24], [24, 4702924800000000, 5], [24, 5573836800000000, 5], [24, 6270566400000000, 21], [24, 8360755200000000, 13], [24, 9405849600000000, 8], [24, 11147673600000000, 1], [24, 12541132800000000, 13], [24, 16721510400000000, 4], [24, 18811699200000000, 4], [24, 25082265600000000, 2], [24, 50164531200000000, 4], [24, 75246796800000000, 2], [24, 100329062400000000, 8], [24, 150493593600000000, 2], [24, 200658124800000000, 2], [24, 300987187200000000, 2], [28, 171992678400000000, 4], [28, 515978035200000000, 2], [30, 1612800, 2], [30, 2419200, 1], [30, 8064000, 1], [30, 18144000, 1], [30, 19353600, 2], [30, 24192000, 3], [30, 29030400, 1], [30, 32256000, 3], [30, 72576000, 1], [30, 77414400, 2], [30, 96768000, 3], [30, 107520000, 2], [30, 116121600, 1], [30, 129024000, 2], [30, 215040000, 1], [30, 322560000, 3], [30, 362880000, 2], [30, 387072000, 1], [30, 430080000, 2], [30, 483840000, 3], [30, 580608000, 1], [30, 619315200, 2], [30, 645120000, 6], [30, 725760000, 5], [30, 774144000, 2], [30, 806400000, 1], [30, 860160000, 1], [30, 870912000, 1], [30, 928972800, 2], [30, 967680000, 1], [30, 1088640000, 1], [30, 1161216000, 6], [30, 1238630400, 1], [30, 1290240000, 5], [30, 1451520000, 5], [30, 1548288000, 4], [30, 1741824000, 2], [30, 1857945600, 2], [30, 1935360000, 9], [30, 2322432000, 8], [30, 2580480000, 3], [30, 2786918400, 1], [30, 3096576000, 3], [30, 3225600000, 1], [30, 3628800000, 1], [30, 3870720000, 4], [30, 4082400000, 1], [30, 4838400000, 5], [30, 5806080000, 1], [30, 6451200000, 5], [30, 7257600000, 3], [30, 7741440000, 9], [30, 8709120000, 3], [30, 9289728000, 1], [30, 9676800000, 9], [30, 10886400000, 5], [30, 11147673600, 2], [30, 11612160000, 3], [30, 12902400000, 7], [30, 13063680000, 1], [30, 14515200000, 7], [30, 15482880000, 3], [30, 16128000000, 3], [30, 16329600000, 1], [30, 16721510400, 1], [30, 17418240000, 9], [30, 18579456000, 2], [30, 19353600000, 12], [30, 20901888000, 1], [30, 21772800000, 5], [30, 23224320000, 16], [30, 24192000000, 1], [30, 25804800000, 9], [30, 26127360000, 2], [30, 26880000000, 1], [30, 27869184000, 8], [30, 29030400000, 11], [30, 30965760000, 11], [30, 34836480000, 8], [30, 37158912000, 4], [30, 38707200000, 12], [30, 41803776000, 2], [30, 43008000000, 2], [30, 44590694400, 2], [30, 46448640000, 18], [30, 51609600000, 5], [30, 55738368000, 9], [30, 58060800000, 2], [30, 61931520000, 4], [30, 64512000000, 4], [30, 66886041600, 1], [30, 69672960000, 4], [30, 72576000000, 5], [30, 74317824000, 3], [30, 77414400000, 3], [30, 81648000000, 3], [30, 86016000000, 1], [30, 87091200000, 1], [30, 92897280000, 3], [30, 96768000000, 1], [30, 97977600000, 1], [30, 107520000000, 1], [30, 108864000000, 3], [30, 111476736000, 2], [30, 116121600000, 7], [30, 122472000000, 1], [30, 123863040000, 2], [30, 129024000000, 5], [30, 145152000000, 11], [30, 154828800000, 6], [30, 174182400000, 3], [30, 181440000000, 1], [30, 185794560000, 3], [30, 193536000000, 14], [30, 209018880000, 2], [30, 217728000000, 1], [30, 232243200000, 13], [30, 241920000000, 3], [30, 247726080000, 2], [30, 250822656000, 1], [30, 258048000000, 10], [30, 261273600000, 7], [30, 278691840000, 10], [30, 290304000000, 12], [30, 306180000000, 1], [30, 309657600000, 7], [30, 322560000000, 2], [30, 326592000000, 3], [30, 334430208000, 3], [30, 348364800000, 13], [30, 362880000000, 2], [30, 371589120000, 7], [30, 387072000000, 9], [30, 391910400000, 1], [30, 408240000000, 1], [30, 418037760000, 7], [30, 430080000000, 1], [30, 435456000000, 9], [30, 445906944000, 3], [30, 464486400000, 22], [30, 495452160000, 1], [30, 516096000000, 5], [30, 522547200000, 9], [30, 535088332800, 2], [30, 544320000000, 1], [30, 557383680000, 8], [30, 580608000000, 12], [30, 619315200000, 10], [30, 627056640000, 1], [30, 645120000000, 2], [30, 668860416000, 3], [30, 696729600000, 20], [30, 725760000000, 3], [30, 743178240000, 6], [30, 774144000000, 17], [30, 783820800000, 1], [30, 802632499200, 1], [30, 836075520000, 9], [30, 860160000000, 4], [30, 870912000000, 4], [30, 928972800000, 29], [30, 967680000000, 4], [30, 979776000000, 3], [30, 1003290624000, 1], [30, 1032192000000, 6], [30, 1045094400000, 2], [30, 1088640000000, 3], [30, 1114767360000, 18], [30, 1161216000000, 3], [30, 1224720000000, 3], [30, 1238630400000, 7], [30, 1254113280000, 1], [30, 1290240000000, 5], [30, 1306368000000, 1], [30, 1337720832000, 7], [30, 1393459200000, 8], [30, 1451520000000, 7], [30, 1469664000000, 1], [30, 1486356480000, 5], [30, 1548288000000, 5], [30, 1632960000000, 3], [30, 1672151040000, 6], [30, 1720320000000, 2], [30, 1741824000000, 10], [30, 1783627776000, 2], [30, 1857945600000, 7], [30, 1935360000000, 5], [30, 2090188800000, 3], [30, 2140353331200, 2], [30, 2177280000000, 5], [30, 2229534720000, 6], [30, 2322432000000, 9], [30, 2477260800000, 2], [30, 2508226560000, 3], [30, 2580480000000, 3], [30, 2612736000000, 2], [30, 2675441664000, 2], [30, 2786918400000, 5], [30, 2903040000000, 10], [30, 2972712960000, 1], [30, 3096576000000, 11], [30, 3135283200000, 1], [30, 3210529996800, 1], [30, 3440640000000, 2], [30, 3483648000000, 7], [30, 3715891200000, 5], [30, 3870720000000, 10], [30, 3919104000000, 3], [30, 4013162496000, 2], [30, 4180377600000, 6], [30, 4354560000000, 5], [30, 4459069440000, 4], [30, 4644864000000, 15], [30, 4954521600000, 4], [30, 5016453120000, 1], [30, 5160960000000, 6], [30, 5225472000000, 9], [30, 5573836800000, 9], [30, 5806080000000, 10], [30, 5945425920000, 1], [30, 6019743744000, 1], [30, 6193152000000, 1], [30, 6270566400000, 5], [30, 6531840000000, 2], [30, 6688604160000, 3], [30, 6881280000000, 1], [30, 6967296000000, 15], [30, 7431782400000, 4], [30, 7741440000000, 5], [30, 7838208000000, 3], [30, 8026324992000, 3], [30, 8360755200000, 13], [30, 8709120000000, 3], [30, 8918138880000, 1], [30, 9289728000000, 19], [30, 9909043200000, 2], [30, 10032906240000, 3], [30, 10321920000000, 1], [30, 10450944000000, 9], [30, 10701766656000, 2], [30, 11147673600000, 16], [30, 11612160000000, 5], [30, 12386304000000, 6], [30, 12541132800000, 4], [30, 13377208320000, 9], [30, 13934592000000, 20], [30, 14863564800000, 3], [30, 15482880000000, 4], [30, 16052649984000, 1], [30, 16721510400000, 14], [30, 17836277760000, 2], [30, 18579456000000, 19], [30, 20065812480000, 6], [30, 20901888000000, 2], [30, 22295347200000, 18], [30, 25082265600000, 2], [30, 26127360000000, 1], [30, 26754416640000, 9], [30, 27869184000000, 10], [30, 29393280000000, 1], [30, 32105299968000, 3], [30, 33443020800000, 12], [30, 34836480000000, 1], [30, 37158912000000, 2], [30, 40131624960000, 4], [30, 41803776000000, 1], [30, 44590694400000, 3], [30, 46448640000000, 4], [30, 52254720000000, 1], [30, 53508833280000, 1], [30, 55738368000000, 5], [30, 62705664000000, 4], [30, 66886041600000, 2], [30, 69672960000000, 2], [30, 78382080000000, 1], [30, 83607552000000, 4], [30, 92897280000000, 5], [30, 94058496000000, 1], [30, 96315899904000, 2], [30, 100329062400000, 2], [30, 104509440000000, 4], [30, 111476736000000, 7], [30, 125411328000000, 4], [30, 133772083200000, 2], [30, 139345920000000, 6], [30, 150493593600000, 2], [30, 156764160000000, 1], [30, 160526499840000, 3], [30, 167215104000000, 9], [30, 185794560000000, 8], [30, 188116992000000, 1], [30, 200658124800000, 8], [30, 209018880000000, 4], [30, 222953472000000, 12], [30, 240789749760000, 1], [30, 250822656000000, 1], [30, 267544166400000, 9], [30, 278691840000000, 7], [30, 300987187200000, 2], [30, 321052999680000, 3], [30, 334430208000000, 9], [30, 371589120000000, 3], [30, 385263599616000, 1], [30, 401316249600000, 5], [30, 445906944000000, 11], [30, 481579499520000, 2], [30, 501645312000000, 7], [30, 535088332800000, 4], [30, 557383680000000, 3], [30, 642105999360000, 1], [30, 668860416000000, 8], [30, 802632499200000, 9], [30, 891813888000000, 2], [30, 1003290624000000, 2], [30, 2006581248000000, 2], [30, 2675441664000000, 2], [30, 3344302080000000, 8], [30, 4013162496000000, 2], [30, 4459069440000000, 3], [30, 4815794995200000, 2], [30, 5350883328000000, 2], [30, 6019743744000000, 2], [30, 6688604160000000, 6], [30, 7524679680000000, 2], [30, 8026324992000000, 4], [30, 8918138880000000, 2], [30, 10032906240000000, 3], [30, 10701766656000000, 4], [30, 12039487488000000, 2], [30, 13377208320000000, 2], [30, 16052649984000000, 3], [30, 19263179980800000, 2], [30, 160526499840000000, 2], [30, 192631799808000000, 2], [35, 13759414272000000, 4], [35, 165112971264000000, 4], [36, 55738368000000, 3], [36, 557383680000000, 6], [36, 836075520000000, 6], [36, 1114767360000000, 10], [36, 1672151040000000, 3], [36, 5573836800000000, 3], [36, 8360755200000000, 6], [36, 11147673600000000, 10], [36, 12541132800000000, 3], [36, 16721510400000000, 15], [36, 22295347200000000, 8], [36, 25082265600000000, 3], [36, 33443020800000000, 4], [36, 50164531200000000, 1], [36, 66886041600000000, 2], [36, 100329062400000000, 2], [36, 133772083200000000, 2], [40, 34836480000, 3], [40, 52254720000, 1], [40, 69672960000, 1], [40, 104509440000, 2], [40, 209018880000, 1], [40, 418037760000, 1], [40, 522547200000, 3], [40, 627056640000, 1], [40, 783820800000, 1], [40, 836075520000, 3], [40, 1045094400000, 6], [40, 1254113280000, 1], [40, 1567641600000, 3], [40, 1672151040000, 2], [40, 2508226560000, 2], [40, 3135283200000, 5], [40, 3483648000000, 3], [40, 5016453120000, 2], [40, 5225472000000, 1], [40, 6967296000000, 1], [40, 7838208000000, 3], [40, 10450944000000, 3], [40, 11757312000000, 1], [40, 12541132800000, 4], [40, 15676416000000, 6], [40, 18811699200000, 1], [40, 20065812480000, 3], [40, 20901888000000, 5], [40, 23514624000000, 3], [40, 25082265600000, 7], [40, 30098718720000, 1], [40, 31352832000000, 6], [40, 37623398400000, 3], [40, 40131624960000, 1], [40, 41803776000000, 1], [40, 47029248000000, 6], [40, 52254720000000, 3], [40, 60197437440000, 2], [40, 62705664000000, 4], [40, 75246796800000, 5], [40, 78382080000000, 1], [40, 83607552000000, 2], [40, 94058496000000, 4], [40, 104509440000000, 1], [40, 117573120000000, 3], [40, 120394874880000, 2], [40, 125411328000000, 1], [40, 141087744000000, 1], [40, 150493593600000, 2], [40, 156764160000000, 3], [40, 167215104000000, 3], [40, 176359680000000, 1], [40, 180592312320000, 1], [40, 188116992000000, 3], [40, 235146240000000, 1], [40, 250822656000000, 5], [40, 282175488000000, 1], [40, 300987187200000, 3], [40, 313528320000000, 5], [40, 352719360000000, 2], [40, 376233984000000, 10], [40, 451480780800000, 1], [40, 470292480000000, 6], [40, 481579499520000, 1], [40, 501645312000000, 9], [40, 564350976000000, 3], [40, 601974374400000, 2], [40, 705438720000000, 2], [40, 752467968000000, 3], [40, 902961561600000, 2], [40, 940584960000000, 3], [40, 1128701952000000, 3], [40, 1254113280000000, 1], [40, 1410877440000000, 3], [40, 1444738498560000, 1], [40, 1504935936000000, 4], [40, 1805923123200000, 1], [40, 2006581248000000, 1], [40, 2257403904000000, 3], [40, 2508226560000000, 4], [40, 2821754880000000, 1], [40, 3009871872000000, 3], [40, 3611846246400000, 2], [40, 3762339840000000, 3], [40, 4013162496000000, 1], [40, 4514807808000000, 3], [40, 5643509760000000, 4], [40, 6019743744000000, 1], [40, 7524679680000000, 9], [40, 9029615616000000, 1], [40, 11287019520000000, 1], [40, 12039487488000000, 3], [40, 18059231232000000, 1], [40, 22574039040000000, 3], [40, 36118462464000000, 1], [40, 90296156160000000, 2], [40, 180592312320000000, 2], [42, 114661785600000000, 4], [42, 171992678400000000, 4], [42, 229323571200000000, 2], [45, 44590694400000, 3], [45, 891813888000000, 5], [45, 1070176665600000, 3], [45, 10701766656000000, 1], [45, 17836277760000000, 2], [45, 21403533312000000, 2], [45, 25684239974400000, 1], [48, 20901888000000, 1], [48, 41803776000000, 1], [48, 418037760000000, 3], [48, 627056640000000, 3], [48, 836075520000000, 3], [48, 1254113280000000, 3], [48, 2090188800000000, 1], [48, 4180377600000000, 3], [48, 4702924800000000, 1], [48, 6270566400000000, 3], [48, 8360755200000000, 4], [48, 9405849600000000, 1], [48, 12541132800000000, 8], [48, 16721510400000000, 1], [48, 18811699200000000, 4], [48, 25082265600000000, 2], [48, 37623398400000000, 1], [48, 150493593600000000, 2], [48, 300987187200000000, 2], [60, 4838400, 1], [60, 48384000, 1], [60, 58060800, 1], [60, 72576000, 2], [60, 96768000, 1], [60, 193536000, 1], [60, 232243200, 1], [60, 290304000, 2], [60, 387072000, 1], [60, 967680000, 3], [60, 1290240000, 2], [60, 1857945600, 2], [60, 1935360000, 7], [60, 2177280000, 3], [60, 2322432000, 3], [60, 2903040000, 12], [60, 3483648000, 4], [60, 3870720000, 6], [60, 4354560000, 4], [60, 4644864000, 4], [60, 5573836800, 1], [60, 5806080000, 10], [60, 6967296000, 3], [60, 7741440000, 1], [60, 8709120000, 2], [60, 9289728000, 1], [60, 9676800000, 3], [60, 11612160000, 1], [60, 14515200000, 4], [60, 19353600000, 4], [60, 21772800000, 3], [60, 23224320000, 11], [60, 26127360000, 1], [60, 29030400000, 15], [60, 32659200000, 4], [60, 33443020800, 1], [60, 34836480000, 9], [60, 38707200000, 12], [60, 43545600000, 14], [60, 46448640000, 14], [60, 48384000000, 1], [60, 52254720000, 4], [60, 55738368000, 3], [60, 58060800000, 25], [60, 65318400000, 5], [60, 69672960000, 25], [60, 77414400000, 13], [60, 83607552000, 4], [60, 87091200000, 21], [60, 92897280000, 10], [60, 104509440000, 6], [60, 111476736000, 4], [60, 116121600000, 19], [60, 130636800000, 5], [60, 133772083200, 1], [60, 139345920000, 10], [60, 154828800000, 2], [60, 167215104000, 3], [60, 174182400000, 8], [60, 185794560000, 2], [60, 193536000000, 7], [60, 209018880000, 4], [60, 217728000000, 3], [60, 222953472000, 1], [60, 232243200000, 8], [60, 244944000000, 1], [60, 261273600000, 3], [60, 278691840000, 4], [60, 290304000000, 10], [60, 348364800000, 14], [60, 387072000000, 10], [60, 418037760000, 1], [60, 435456000000, 15], [60, 464486400000, 15], [60, 483840000000, 1], [60, 522547200000, 6], [60, 557383680000, 9], [60, 580608000000, 25], [60, 653184000000, 10], [60, 668860416000, 1], [60, 696729600000, 44], [60, 725760000000, 2], [60, 743178240000, 2], [60, 774144000000, 12], [60, 783820800000, 4], [60, 836075520000, 5], [60, 870912000000, 27], [60, 928972800000, 26], [60, 967680000000, 1], [60, 979776000000, 4], [60, 1003290624000, 2], [60, 1045094400000, 27], [60, 1114767360000, 13], [60, 1161216000000, 33], [60, 1254113280000, 3], [60, 1290240000000, 2], [60, 1306368000000, 20], [60, 1337720832000, 1], [60, 1393459200000, 51], [60, 1548288000000, 11], [60, 1567641600000, 5], [60, 1605264998400, 1], [60, 1672151040000, 18], [60, 1741824000000, 35], [60, 1857945600000, 20], [60, 1959552000000, 5], [60, 2090188800000, 37], [60, 2177280000000, 3], [60, 2229534720000, 8], [60, 2322432000000, 36], [60, 2449440000000, 1], [60, 2508226560000, 4], [60, 2612736000000, 10], [60, 2675441664000, 1], [60, 2786918400000, 31], [60, 2903040000000, 10], [60, 2939328000000, 1], [60, 3096576000000, 2], [60, 3135283200000, 5], [60, 3265920000000, 4], [60, 3344302080000, 16], [60, 3483648000000, 25], [60, 3674160000000, 2], [60, 3715891200000, 2], [60, 3870720000000, 5], [60, 3919104000000, 2], [60, 4013162496000, 2], [60, 4180377600000, 10], [60, 4354560000000, 11], [60, 4459069440000, 2], [60, 4644864000000, 22], [60, 4898880000000, 1], [60, 5016453120000, 2], [60, 5225472000000, 25], [60, 5350883328000, 1], [60, 5573836800000, 6], [60, 5806080000000, 15], [60, 6270566400000, 5], [60, 6421059993600, 1], [60, 6531840000000, 11], [60, 6688604160000, 2], [60, 6967296000000, 36], [60, 7431782400000, 2], [60, 7524679680000, 1], [60, 7741440000000, 9], [60, 7838208000000, 13], [60, 8360755200000, 14], [60, 8709120000000, 23], [60, 9289728000000, 35], [60, 9797760000000, 8], [60, 10032906240000, 5], [60, 10321920000000, 2], [60, 10450944000000, 40], [60, 11147673600000, 16], [60, 11612160000000, 23], [60, 11757312000000, 2], [60, 12541132800000, 7], [60, 13063680000000, 16], [60, 13377208320000, 8], [60, 13934592000000, 84], [60, 14696640000000, 2], [60, 14863564800000, 4], [60, 15049359360000, 1], [60, 15482880000000, 7], [60, 15676416000000, 25], [60, 16052649984000, 1], [60, 16721510400000, 42], [60, 17418240000000, 29], [60, 17836277760000, 1], [60, 18579456000000, 28], [60, 18811699200000, 2], [60, 19595520000000, 13], [60, 20065812480000, 4], [60, 20901888000000, 72], [60, 22295347200000, 20], [60, 23224320000000, 27], [60, 23514624000000, 4], [60, 24078974976000, 2], [60, 25082265600000, 24], [60, 26127360000000, 24], [60, 26754416640000, 6], [60, 27869184000000, 83], [60, 29393280000000, 1], [60, 30098718720000, 1], [60, 30965760000000, 3], [60, 31352832000000, 24], [60, 32105299968000, 1], [60, 33443020800000, 44], [60, 34836480000000, 34], [60, 37158912000000, 10], [60, 37623398400000, 2], [60, 39191040000000, 5], [60, 40131624960000, 12], [60, 41803776000000, 65], [60, 44590694400000, 8], [60, 46448640000000, 18], [60, 47029248000000, 3], [60, 50164531200000, 24], [60, 52254720000000, 14], [60, 53508833280000, 2], [60, 55738368000000, 25], [60, 58786560000000, 3], [60, 60197437440000, 3], [60, 62705664000000, 23], [60, 66886041600000, 17], [60, 69672960000000, 28], [60, 75246796800000, 1], [60, 78382080000000, 19], [60, 80263249920000, 5], [60, 83607552000000, 15], [60, 92897280000000, 11], [60, 94058496000000, 3], [60, 100329062400000, 3], [60, 104509440000000, 29], [60, 111476736000000, 12], [60, 117573120000000, 3], [60, 125411328000000, 12], [60, 133772083200000, 2], [60, 139345920000000, 39], [60, 150493593600000, 1], [60, 156764160000000, 16], [60, 167215104000000, 29], [60, 185794560000000, 23], [60, 188116992000000, 5], [60, 200658124800000, 13], [60, 209018880000000, 53], [60, 222953472000000, 16], [60, 235146240000000, 8], [60, 250822656000000, 30], [60, 267544166400000, 7], [60, 278691840000000, 51], [60, 300987187200000, 2], [60, 313528320000000, 30], [60, 321052999680000, 2], [60, 334430208000000, 51], [60, 371589120000000, 10], [60, 376233984000000, 7], [60, 401316249600000, 14], [60, 418037760000000, 56], [60, 445906944000000, 8], [60, 470292480000000, 7], [60, 481579499520000, 2], [60, 501645312000000, 40], [60, 535088332800000, 4], [60, 557383680000000, 32], [60, 601974374400000, 9], [60, 627056640000000, 29], [60, 642105999360000, 1], [60, 668860416000000, 42], [60, 743178240000000, 1], [60, 752467968000000, 10], [60, 802632499200000, 14], [60, 836075520000000, 29], [60, 891813888000000, 2], [60, 940584960000000, 7], [60, 963158999040000, 2], [60, 1003290624000000, 20], [60, 1070176665600000, 1], [60, 1114767360000000, 4], [60, 1203948748800000, 4], [60, 1254113280000000, 9], [60, 1337720832000000, 12], [60, 1504935936000000, 5], [60, 1605264998400000, 2], [60, 1672151040000000, 4], [60, 1881169920000000, 2], [60, 2006581248000000, 14], [60, 2508226560000000, 8], [60, 3009871872000000, 4], [60, 3344302080000000, 9], [60, 3762339840000000, 4], [60, 4013162496000000, 2], [60, 4815794995200000, 4], [60, 5016453120000000, 9], [60, 6019743744000000, 2], [60, 6688604160000000, 12], [60, 7524679680000000, 2], [60, 8026324992000000, 7], [60, 10032906240000000, 22], [60, 12039487488000000, 4], [60, 13377208320000000, 10], [60, 15049359360000000, 4], [60, 16052649984000000, 9], [60, 19263179980800000, 1], [60, 20065812480000000, 10], [60, 24078974976000000, 4], [60, 26754416640000000, 2], [60, 30098718720000000, 6], [60, 32105299968000000, 3], [60, 40131624960000000, 3], [60, 48157949952000000, 2], [60, 120394874880000000, 6], [60, 240789749760000000, 2], [70, 206391214080000000, 4], [72, 200658124800000000, 2], [80, 501645312000000, 3], [80, 1504935936000000, 3], [80, 6019743744000000, 1], [80, 7524679680000000, 3], [80, 12039487488000000, 1], [80, 18059231232000000, 1], [80, 22574039040000000, 3], [80, 36118462464000000, 1], [84, 343985356800000000, 4], [90, 445906944000000, 6], [90, 668860416000000, 6], [90, 891813888000000, 5], [90, 4459069440000000, 3], [90, 6688604160000000, 6], [90, 8918138880000000, 10], [90, 10032906240000000, 3], [90, 10701766656000000, 4], [90, 13377208320000000, 10], [90, 16052649984000000, 3], [90, 17836277760000000, 6], [90, 21403533312000000, 2], [90, 160526499840000000, 2], [105, 275188285440000000, 4], [120, 69672960000, 3], [120, 139345920000, 1], [120, 696729600000, 3], [120, 836075520000, 1], [120, 1045094400000, 4], [120, 1393459200000, 9], [120, 1672151040000, 3], [120, 2090188800000, 9], [120, 2786918400000, 6], [120, 3344302080000, 2], [120, 4180377600000, 5], [120, 6967296000000, 3], [120, 13934592000000, 12], [120, 15676416000000, 3], [120, 16721510400000, 3], [120, 20901888000000, 20], [120, 25082265600000, 4], [120, 27869184000000, 18], [120, 31352832000000, 9], [120, 33443020800000, 9], [120, 40131624960000, 3], [120, 41803776000000, 33], [120, 50164531200000, 9], [120, 55738368000000, 7], [120, 62705664000000, 18], [120, 66886041600000, 6], [120, 69672960000000, 3], [120, 80263249920000, 1], [120, 83607552000000, 11], [120, 100329062400000, 5], [120, 104509440000000, 4], [120, 125411328000000, 3], [120, 139345920000000, 4], [120, 156764160000000, 3], [120, 167215104000000, 5], [120, 188116992000000, 1], [120, 209018880000000, 15], [120, 235146240000000, 4], [120, 240789749760000, 1], [120, 250822656000000, 6], [120, 278691840000000, 12], [120, 313528320000000, 14], [120, 334430208000000, 16], [120, 376233984000000, 4], [120, 401316249600000, 3], [120, 418037760000000, 28], [120, 470292480000000, 4], [120, 501645312000000, 20], [120, 557383680000000, 13], [120, 601974374400000, 4], [120, 627056640000000, 30], [120, 668860416000000, 12], [120, 752467968000000, 7], [120, 802632499200000, 4], [120, 836075520000000, 24], [120, 940584960000000, 12], [120, 963158999040000, 1], [120, 1003290624000000, 22], [120, 1114767360000000, 2], [120, 1203948748800000, 3], [120, 1254113280000000, 19], [120, 1337720832000000, 2], [120, 1504935936000000, 8], [120, 1605264998400000, 1], [120, 1672151040000000, 6], [120, 1881169920000000, 6], [120, 2006581248000000, 4], [120, 2407897497600000, 1], [120, 2508226560000000, 3], [120, 3009871872000000, 3], [120, 3344302080000000, 3], [120, 4013162496000000, 2], [120, 5016453120000000, 14], [120, 6019743744000000, 3], [120, 6688604160000000, 6], [120, 7524679680000000, 9], [120, 8026324992000000, 3], [120, 10032906240000000, 15], [120, 12039487488000000, 2], [120, 13377208320000000, 3], [120, 15049359360000000, 9], [120, 16052649984000000, 1], [120, 20065812480000000, 7], [120, 24078974976000000, 3], [120, 30098718720000000, 3], [180, 1337720832000000, 6], [180, 13377208320000000, 6], [180, 20065812480000000, 6], [180, 26754416640000000, 10], [180, 32105299968000000, 3], [180, 40131624960000000, 3], [240, 1003290624000000, 3], [240, 10032906240000000, 3], [240, 12039487488000000, 1], [240, 15049359360000000, 3], [240, 20065812480000000, 3], [240, 24078974976000000, 1], [240, 30098718720000000, 3]], 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '28894769971200000000.a', 'commutator_count': None, 'commutator_label': '28894769971200000000.a', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '168.42'], 'composition_length': 19, 'conjugacy_classes_known': False, 'counter': 1, 'cyclic': False, 'derived_length': 0, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': [[1, 1, 1, 1], [2, 120, 1, 1], [2, 2800, 1, 1], [2, 6300, 1, 1], [2, 140000, 1, 1], [2, 189000, 1, 1], [2, 252000, 1, 1], [2, 560000, 1, 1], [2, 604800, 1, 1], [2, 708750, 1, 1], [2, 1890000, 1, 1], [2, 2835000, 1, 1], [2, 7560000, 1, 1], [2, 8400000, 1, 1], [2, 28000000, 1, 1], [2, 33600000, 1, 1], [2, 36288000, 1, 1], [2, 42525000, 1, 1], [2, 75600000, 1, 1], [2, 100000000, 1, 1], [2, 113400000, 1, 1], [2, 120960000, 1, 1], [2, 189000000, 1, 1], [2, 241920000, 1, 1], [2, 272160000, 1, 1], [2, 318937500, 1, 1], [2, 425250000, 1, 1], [2, 544320000, 1, 1], [2, 725760000, 1, 2], [2, 756000000, 1, 1], [2, 840000000, 1, 1], [2, 1366875000, 1, 1], [2, 1701000000, 1, 1], [2, 1890000000, 1, 1], [2, 2562890625, 1, 1], [2, 3628800000, 1, 1], [2, 4354560000, 1, 2], [2, 6048000000, 1, 1], [2, 6300000000, 1, 1], [2, 7087500000, 1, 1], [2, 7257600000, 1, 1], [2, 7560000000, 1, 1], [2, 8164800000, 1, 1], [2, 12757500000, 1, 1], [2, 27216000000, 1, 1], [2, 28350000000, 1, 1], [2, 30618000000, 1, 1], [2, 31893750000, 1, 1], [2, 54432000000, 1, 1], [3, 160, 1, 1], [3, 11200, 1, 1], [3, 448000, 1, 1], [3, 2240000, 1, 1], [3, 8960000, 1, 1], [3, 179200000, 1, 1], [3, 1792000000, 1, 1], [3, 10240000000, 1, 1], [3, 25600000000, 1, 1], [3, 46448640000, 1, 1], [3, 1857945600000, 1, 1], [3, 18579456000000, 1, 1], [4, 16800, 1, 1], [4, 25200, 1, 1], [4, 1512000, 1, 1], [4, 1680000, 1, 1], [4, 2268000, 1, 1], [4, 6720000, 1, 1], [4, 7560000, 1, 1], [4, 11340000, 1, 2], [4, 15120000, 1, 1], [4, 17010000, 1, 1], [4, 18144000, 1, 1], [4, 30240000, 1, 1], [4, 45360000, 1, 2], [4, 60480000, 1, 2], [4, 68040000, 1, 1], [4, 100800000, 1, 2], [4, 136080000, 1, 1], [4, 226800000, 1, 2], [4, 302400000, 1, 1], [4, 453600000, 1, 1], [4, 483840000, 1, 1], [4, 504000000, 1, 1], [4, 680400000, 1, 3], [4, 725760000, 1, 1], [4, 756000000, 1, 1], [4, 907200000, 1, 4], [4, 1020600000, 1, 1], [4, 1088640000, 1, 2], [4, 1451520000, 1, 2], [4, 2177280000, 1, 1], [4, 2268000000, 1, 1], [4, 2400000000, 1, 1], [4, 2551500000, 1, 1], [4, 2721600000, 1, 2], [4, 3024000000, 1, 1], [4, 3402000000, 1, 1], [4, 3628800000, 1, 2], [4, 3827250000, 1, 1], [4, 4536000000, 1, 2], [4, 6048000000, 1, 1], [4, 6804000000, 1, 4], [4, 7257600000, 1, 3], [4, 8164800000, 1, 2], [4, 9072000000, 1, 1], [4, 10206000000, 1, 1], [4, 12096000000, 1, 1], [4, 14515200000, 1, 1], [4, 15120000000, 1, 1], [4, 15309000000, 1, 2], [4, 16329600000, 1, 1], [4, 20412000000, 1, 2], [4, 21772800000, 1, 6], [4, 22680000000, 1, 3], [4, 24192000000, 1, 1], [4, 25200000000, 1, 1], [4, 27216000000, 1, 4], [4, 32659200000, 1, 2], [4, 34836480000, 1, 1], [4, 40824000000, 1, 3], [4, 43545600000, 1, 4], [4, 48384000000, 1, 1], [4, 54432000000, 1, 2], [4, 61236000000, 1, 2], [4, 65318400000, 1, 2], [4, 68040000000, 1, 1], [4, 72576000000, 1, 2], [4, 76545000000, 1, 1], [4, 85050000000, 1, 1], [4, 90720000000, 1, 3], [4, 102060000000, 1, 1], [4, 108864000000, 1, 5], [4, 113400000000, 1, 2], [4, 114817500000, 1, 1], [4, 122472000000, 1, 1], [4, 145152000000, 1, 2], [4, 151200000000, 1, 1], [4, 153090000000, 1, 1], [4, 163296000000, 1, 2], [4, 170100000000, 1, 1], [4, 181440000000, 1, 1], [4, 191362500000, 1, 1], [4, 204120000000, 1, 5], [4, 217728000000, 1, 5], [4, 244944000000, 1, 3], [4, 261273600000, 1, 2], [4, 272160000000, 1, 1], [4, 287043750000, 1, 1], [4, 290304000000, 1, 1], [4, 326592000000, 1, 4], [4, 340200000000, 1, 1], [4, 362880000000, 1, 1], [4, 382725000000, 1, 1], [4, 435456000000, 1, 1], [4, 453600000000, 1, 1], [4, 489888000000, 1, 3], [4, 522547200000, 1, 1], [4, 574087500000, 1, 1], [4, 604800000000, 1, 1], [4, 612360000000, 1, 3], [4, 653184000000, 1, 6], [4, 656100000000, 1, 1], [4, 680400000000, 1, 1], [4, 725760000000, 1, 3], [4, 765450000000, 1, 1], [4, 816480000000, 1, 4], [4, 870912000000, 1, 4], [4, 918540000000, 1, 1], [4, 979776000000, 1, 3], [4, 1045094400000, 1, 1], [4, 1224720000000, 1, 1], [4, 1306368000000, 1, 1], [4, 1360800000000, 1, 3], [4, 1530900000000, 1, 2], [4, 1632960000000, 1, 4], [4, 1749600000000, 1, 1], [4, 1837080000000, 1, 1], [4, 1959552000000, 1, 3], [4, 2041200000000, 1, 2], [4, 2177280000000, 1, 6], [4, 2296350000000, 1, 1], [4, 2721600000000, 1, 1], [4, 3061800000000, 1, 2], [4, 3265920000000, 1, 3], [4, 3483648000000, 1, 2], [4, 3919104000000, 1, 2], [4, 4354560000000, 1, 2], [4, 4592700000000, 1, 1], [4, 4898880000000, 1, 6], [4, 5443200000000, 1, 1], [4, 6123600000000, 1, 2], [4, 6531840000000, 1, 4], [4, 6889050000000, 1, 1], [4, 6967296000000, 1, 1], [4, 7257600000000, 1, 3], [4, 7348320000000, 1, 2], [4, 7838208000000, 1, 1], [4, 9185400000000, 1, 1], [4, 9797760000000, 1, 4], [4, 10886400000000, 1, 2], [4, 12247200000000, 1, 1], [4, 13063680000000, 1, 2], [4, 14696640000000, 1, 3], [4, 15676416000000, 1, 1], [4, 16329600000000, 1, 2], [4, 19595520000000, 1, 3], [4, 20901888000000, 1, 2], [4, 21772800000000, 1, 1], [4, 24494400000000, 1, 3], [4, 26127360000000, 1, 3], [4, 31352832000000, 1, 1], [4, 32659200000000, 1, 2], [4, 36741600000000, 1, 3], [4, 43545600000000, 1, 2], [4, 48988800000000, 1, 3], [4, 52254720000000, 1, 1], [4, 55112400000000, 1, 1], [4, 58786560000000, 1, 2], [4, 65318400000000, 1, 2], [4, 73483200000000, 1, 2], [4, 97977600000000, 1, 1], [4, 104509440000000, 1, 2], [4, 110224800000000, 1, 2], [4, 117573120000000, 1, 1], [4, 125411328000000, 1, 2], [4, 146966400000000, 1, 1], [4, 195955200000000, 1, 4], [4, 220449600000000, 1, 2], [4, 250822656000000, 1, 2], [4, 293932800000000, 1, 1], [4, 313528320000000, 1, 2], [4, 470292480000000, 1, 1], [4, 783820800000000, 1, 1], [5, 192, 1, 1], [5, 16128, 1, 1], [5, 774144, 1, 1], [5, 4644864, 1, 1], [5, 18579456, 1, 1], [5, 445906944, 1, 1], [5, 5350883328, 1, 1], [5, 36691771392, 1, 1], [5, 55037657088, 1, 2], [6, 11200, 1, 2], [6, 16800, 1, 1], [6, 336000, 1, 1], [6, 756000, 1, 1], [6, 1008000, 1, 3], [6, 1120000, 1, 1], [6, 1344000, 1, 2], [6, 2240000, 1, 1], [6, 3360000, 1, 2], [6, 3780000, 1, 1], [6, 4480000, 1, 2], [6, 5040000, 1, 1], [6, 6720000, 1, 1], [6, 7560000, 1, 3], [6, 8960000, 1, 1], [6, 11200000, 1, 1], [6, 13440000, 1, 4], [6, 15120000, 1, 1], [6, 17920000, 1, 1], [6, 20160000, 1, 3], [6, 24192000, 1, 1], [6, 26880000, 1, 1], [6, 30240000, 1, 3], [6, 44800000, 1, 1], [6, 48384000, 1, 1], [6, 53760000, 1, 2], [6, 56700000, 1, 1], [6, 67200000, 1, 2], [6, 80640000, 1, 2], [6, 89600000, 1, 2], [6, 134400000, 1, 2], [6, 151200000, 1, 3], [6, 179200000, 1, 2], [6, 201600000, 1, 3], [6, 226800000, 1, 1], [6, 241920000, 1, 1], [6, 268800000, 1, 5], [6, 302400000, 1, 4], [6, 336000000, 1, 3], [6, 358400000, 1, 4], [6, 403200000, 1, 5], [6, 453600000, 1, 3], [6, 483840000, 1, 3], [6, 504000000, 1, 1], [6, 537600000, 1, 4], [6, 604800000, 1, 5], [6, 716800000, 1, 2], [6, 725760000, 1, 1], [6, 806400000, 1, 5], [6, 967680000, 1, 3], [6, 1075200000, 1, 3], [6, 1120000000, 1, 1], [6, 1209600000, 1, 3], [6, 1344000000, 1, 4], [6, 1451520000, 1, 2], [6, 1512000000, 1, 3], [6, 1600000000, 1, 1], [6, 1612800000, 1, 3], [6, 1701000000, 1, 3], [6, 1792000000, 1, 2], [6, 1935360000, 1, 1], [6, 2016000000, 1, 1], [6, 2268000000, 1, 1], [6, 2551500000, 1, 1], [6, 2688000000, 1, 3], [6, 3024000000, 1, 10], [6, 4032000000, 1, 5], [6, 4480000000, 1, 1], [6, 4536000000, 1, 2], [6, 4838400000, 1, 2], [6, 5376000000, 1, 11], [6, 6048000000, 1, 4], [6, 6804000000, 1, 3], [6, 7560000000, 1, 1], [6, 8064000000, 1, 8], [6, 9072000000, 1, 5], [6, 9676800000, 1, 2], [6, 10080000000, 1, 3], [6, 10752000000, 1, 1], [6, 10886400000, 1, 2], [6, 11200000000, 1, 2], [6, 12096000000, 1, 12], [6, 12757500000, 1, 1], [6, 13440000000, 1, 2], [6, 14515200000, 1, 6], [6, 15120000000, 1, 2], [6, 16128000000, 1, 9], [6, 16800000000, 1, 1], [6, 17010000000, 1, 1], [6, 17920000000, 1, 1], [6, 18144000000, 1, 3], [6, 19353600000, 1, 9], [6, 21504000000, 1, 6], [6, 21772800000, 1, 2], [6, 22400000000, 1, 2], [6, 22680000000, 1, 1], [6, 24192000000, 1, 2], [6, 25600000000, 1, 1], [6, 26880000000, 1, 2], [6, 27337500000, 1, 1], [6, 29030400000, 1, 3], [6, 30240000000, 1, 3], [6, 32256000000, 1, 5], [6, 35840000000, 1, 4], [6, 37800000000, 1, 1], [6, 38707200000, 1, 4], [6, 40320000000, 1, 4], [6, 44800000000, 1, 1], [6, 45360000000, 1, 3], [6, 48384000000, 1, 5], [6, 51030000000, 1, 3], [6, 53760000000, 1, 5], [6, 56700000000, 1, 1], [6, 58060800000, 1, 3], [6, 60480000000, 1, 7], [6, 67200000000, 1, 1], [6, 68040000000, 1, 3], [6, 71680000000, 1, 2], [6, 72576000000, 1, 1], [6, 75600000000, 1, 3], [6, 80640000000, 1, 5], [6, 89600000000, 1, 2], [6, 90720000000, 1, 5], [6, 96768000000, 1, 5], [6, 102400000000, 1, 1], [6, 107520000000, 1, 3], [6, 108864000000, 1, 4], [6, 113400000000, 1, 2], [6, 120960000000, 1, 10], [6, 127575000000, 1, 3], [6, 134400000000, 1, 2], [6, 143360000000, 1, 2], [6, 145152000000, 1, 2], [6, 151200000000, 1, 1], [6, 153600000000, 1, 1], [6, 161280000000, 1, 10], [6, 163296000000, 1, 1], [6, 170100000000, 1, 2], [6, 179200000000, 1, 4], [6, 181440000000, 1, 5], [6, 193536000000, 1, 7], [6, 201600000000, 1, 2], [6, 215040000000, 1, 6], [6, 217728000000, 1, 4], [6, 226800000000, 1, 2], [6, 241920000000, 1, 10], [6, 255150000000, 1, 1], [6, 268800000000, 1, 1], [6, 272160000000, 1, 2], [6, 286720000000, 1, 1], [6, 290304000000, 1, 7], [6, 302400000000, 1, 6], [6, 322560000000, 1, 5], [6, 326592000000, 1, 1], [6, 340200000000, 1, 1], [6, 348364800000, 1, 2], [6, 358400000000, 1, 1], [6, 362880000000, 1, 3], [6, 387072000000, 1, 6], [6, 403200000000, 1, 3], [6, 430080000000, 1, 1], [6, 435456000000, 1, 1], [6, 453600000000, 1, 2], [6, 483840000000, 1, 5], [6, 537600000000, 1, 7], [6, 580608000000, 1, 7], [6, 604800000000, 1, 6], [6, 645120000000, 1, 4], [6, 680400000000, 1, 4], [6, 716800000000, 1, 6], [6, 774144000000, 1, 5], [6, 806400000000, 1, 3], [6, 870912000000, 1, 1], [6, 907200000000, 1, 4], [6, 1020600000000, 1, 2], [6, 1075200000000, 1, 3], [6, 1088640000000, 1, 1], [6, 1161216000000, 1, 2], [6, 1209600000000, 1, 15], [6, 1224720000000, 1, 1], [6, 1393459200000, 1, 2], [6, 1433600000000, 1, 1], [6, 1451520000000, 1, 1], [6, 1548288000000, 1, 1], [6, 1612800000000, 1, 3], [6, 1741824000000, 1, 2], [6, 1814400000000, 1, 2], [6, 1935360000000, 1, 4], [6, 2150400000000, 1, 5], [6, 2177280000000, 1, 1], [6, 2419200000000, 1, 4], [6, 2721600000000, 1, 2], [6, 2867200000000, 1, 1], [6, 2903040000000, 1, 2], [6, 3225600000000, 1, 6], [6, 3265920000000, 1, 1], [6, 3483648000000, 1, 2], [6, 3628800000000, 1, 3], [6, 3870720000000, 1, 5], [6, 4300800000000, 1, 1], [6, 4354560000000, 1, 4], [6, 4644864000000, 1, 2], [6, 4838400000000, 1, 6], [6, 5806080000000, 1, 6], [6, 6451200000000, 1, 1], [6, 6531840000000, 1, 1], [6, 6967296000000, 1, 2], [6, 7741440000000, 1, 8], [6, 8709120000000, 1, 4], [6, 9289728000000, 1, 2], [6, 10450944000000, 1, 2], [6, 10886400000000, 1, 1], [6, 11612160000000, 1, 7], [6, 12247200000000, 1, 1], [6, 15482880000000, 1, 3], [6, 18579456000000, 1, 4], [6, 19353600000000, 1, 3], [6, 20901888000000, 1, 2], [6, 21772800000000, 1, 1], [6, 23224320000000, 1, 3], [6, 27869184000000, 1, 3], [6, 29030400000000, 1, 1], [6, 38707200000000, 1, 4], [6, 43545600000000, 1, 3], [6, 58060800000000, 1, 1], [6, 65318400000000, 1, 1], [6, 77414400000000, 1, 3], [6, 87091200000000, 1, 3], [6, 116121600000000, 1, 7], [6, 139345920000000, 1, 8], [6, 154828800000000, 1, 2], [6, 185794560000000, 1, 3], [6, 232243200000000, 1, 1], [6, 278691840000000, 1, 6], [6, 313528320000000, 1, 2], [6, 334430208000000, 1, 2], [6, 371589120000000, 1, 2], [6, 418037760000000, 1, 3], [6, 464486400000000, 1, 1], [6, 557383680000000, 1, 2], [6, 696729600000000, 1, 2], [6, 1045094400000000, 1, 2], [6, 1857945600000000, 1, 3], [6, 2090188800000000, 1, 2], [6, 2351462400000000, 1, 1], [6, 2786918400000000, 1, 3], [6, 4180377600000000, 1, 5], [6, 5573836800000000, 1, 2], [6, 6270566400000000, 1, 1], [6, 6688604160000000, 1, 2], [7, 573308928000000, 2, 1], [8, 362880000, 1, 1], [8, 544320000, 1, 1], [8, 1451520000, 1, 1], [8, 4354560000, 1, 1], [8, 21772800000, 1, 3], [8, 32659200000, 1, 1], [8, 43545600000, 1, 1], [8, 65318400000, 1, 2], [8, 72576000000, 1, 1], [8, 108864000000, 1, 1], [8, 130636800000, 1, 1], [8, 145152000000, 1, 2], [8, 163296000000, 1, 1], [8, 217728000000, 1, 1], [8, 244944000000, 1, 1], [8, 326592000000, 1, 3], [8, 435456000000, 1, 2], [8, 489888000000, 1, 1], [8, 522547200000, 1, 1], [8, 653184000000, 1, 4], [8, 870912000000, 1, 2], [8, 979776000000, 1, 3], [8, 1306368000000, 1, 3], [8, 1959552000000, 1, 3], [8, 2177280000000, 1, 3], [8, 2612736000000, 1, 1], [8, 3265920000000, 1, 1], [8, 3483648000000, 1, 1], [8, 3628800000000, 1, 1], [8, 3919104000000, 1, 1], [8, 4354560000000, 1, 1], [8, 4898880000000, 1, 3], [8, 5225472000000, 1, 3], [8, 5443200000000, 1, 1], [8, 6531840000000, 1, 3], [8, 6967296000000, 1, 1], [8, 7348320000000, 1, 1], [8, 7838208000000, 1, 4], [8, 9797760000000, 1, 1], [8, 10450944000000, 1, 1], [8, 13063680000000, 1, 5], [8, 14696640000000, 1, 2], [8, 15676416000000, 1, 1], [8, 16329600000000, 1, 1], [8, 18370800000000, 1, 1], [8, 19595520000000, 1, 6], [8, 20901888000000, 1, 3], [8, 24494400000000, 1, 1], [8, 27556200000000, 1, 1], [8, 29393280000000, 1, 2], [8, 31352832000000, 1, 1], [8, 32659200000000, 1, 2], [8, 39191040000000, 1, 3], [8, 43545600000000, 1, 1], [8, 48988800000000, 1, 1], [8, 52254720000000, 1, 1], [8, 58786560000000, 1, 3], [8, 62705664000000, 1, 1], [8, 65318400000000, 1, 2], [8, 73483200000000, 1, 1], [8, 87091200000000, 1, 2], [8, 97977600000000, 1, 3], [8, 104509440000000, 1, 4], [8, 117573120000000, 1, 1], [8, 130636800000000, 1, 1], [8, 146966400000000, 1, 2], [8, 156764160000000, 1, 3], [8, 195955200000000, 1, 3], [8, 220449600000000, 1, 2], [8, 235146240000000, 1, 4], [8, 293932800000000, 1, 4], [8, 313528320000000, 1, 9], [8, 348364800000000, 1, 1], [8, 391910400000000, 1, 3], [8, 440899200000000, 1, 2], [8, 470292480000000, 1, 1], [8, 522547200000000, 1, 2], [8, 587865600000000, 1, 4], [8, 783820800000000, 1, 6], [8, 881798400000000, 1, 1], [8, 940584960000000, 1, 3], [8, 1045094400000000, 1, 1], [8, 1175731200000000, 1, 3], [8, 1567641600000000, 1, 4], [8, 1763596800000000, 1, 4], [8, 2090188800000000, 1, 1], [8, 2351462400000000, 1, 1], [8, 3135283200000000, 1, 1], [8, 3527193600000000, 1, 2], [8, 3762339840000000, 1, 2], [8, 4702924800000000, 1, 7], [8, 6270566400000000, 1, 1], [8, 7054387200000000, 1, 2], [8, 7524679680000000, 1, 2], [8, 9405849600000000, 1, 1], [8, 12541132800000000, 1, 2], [8, 14108774400000000, 1, 1], [8, 25082265600000000, 1, 2], [8, 28217548800000000, 1, 2], [8, 56435097600000000, 1, 2], [9, 1857945600000, 1, 1], [9, 18579456000000, 1, 1], [9, 37158912000000, 1, 2], [9, 743178240000000, 1, 2], [9, 7431782400000000, 1, 1], [10, 20160, 1, 1], [10, 403200, 1, 1], [10, 907200, 1, 1], [10, 1451520, 1, 1], [10, 4536000, 1, 1], [10, 4838400, 1, 1], [10, 6048000, 1, 1], [10, 10886400, 1, 1], [10, 11612160, 1, 1], [10, 13440000, 1, 1], [10, 18144000, 1, 1], [10, 19353600, 1, 1], [10, 24192000, 1, 1], [10, 29030400, 1, 1], [10, 43545600, 1, 1], [10, 46448640, 1, 1], [10, 53760000, 1, 1], [10, 58060800, 1, 1], [10, 68040000, 1, 1], [10, 181440000, 1, 1], [10, 272160000, 1, 1], [10, 278691840, 1, 1], [10, 290304000, 1, 1], [10, 309657600, 1, 1], [10, 348364800, 1, 1], [10, 362880000, 1, 2], [10, 435456000, 1, 1], [10, 464486400, 1, 1], [10, 483840000, 1, 1], [10, 580608000, 1, 2], [10, 604800000, 1, 1], [10, 653184000, 1, 1], [10, 696729600, 1, 2], [10, 870912000, 1, 1], [10, 1045094400, 1, 1], [10, 1114767360, 1, 1], [10, 1344000000, 1, 1], [10, 1393459200, 1, 1], [10, 1741824000, 1, 2], [10, 1935360000, 1, 1], [10, 2177280000, 1, 1], [10, 2419200000, 1, 1], [10, 2449440000, 1, 1], [10, 2721600000, 1, 1], [10, 2786918400, 1, 2], [10, 3061800000, 1, 1], [10, 4354560000, 1, 3], [10, 5443200000, 1, 2], [10, 5806080000, 1, 2], [10, 6270566400, 1, 1], [10, 6967296000, 1, 1], [10, 7741440000, 1, 1], [10, 9072000000, 1, 1], [10, 9797760000, 1, 1], [10, 10450944000, 1, 1], [10, 11147673600, 1, 1], [10, 11612160000, 1, 2], [10, 13063680000, 1, 2], [10, 13934592000, 1, 2], [10, 14515200000, 1, 1], [10, 15309000000, 1, 1], [10, 15676416000, 1, 1], [10, 16128000000, 1, 1], [10, 17418240000, 1, 1], [10, 20065812480, 1, 1], [10, 20160000000, 1, 1], [10, 20412000000, 1, 1], [10, 20901888000, 1, 2], [10, 25082265600, 1, 1], [10, 26127360000, 1, 2], [10, 30965760000, 1, 1], [10, 32805000000, 1, 1], [10, 33443020800, 1, 3], [10, 36288000000, 1, 1], [10, 39191040000, 1, 1], [10, 41803776000, 1, 2], [10, 45360000000, 1, 1], [10, 46448640000, 1, 1], [10, 58060800000, 1, 1], [10, 62705664000, 1, 1], [10, 65318400000, 1, 1], [10, 66886041600, 1, 1], [10, 69672960000, 1, 4], [10, 73483200000, 1, 1], [10, 81648000000, 1, 1], [10, 83607552000, 1, 2], [10, 87091200000, 1, 1], [10, 100329062400, 1, 2], [10, 104509440000, 1, 1], [10, 108864000000, 1, 1], [10, 116121600000, 1, 1], [10, 130636800000, 1, 2], [10, 133772083200, 1, 1], [10, 139345920000, 1, 2], [10, 156764160000, 1, 3], [10, 160526499840, 1, 1], [10, 174182400000, 1, 2], [10, 181440000000, 1, 1], [10, 183708000000, 1, 1], [10, 185794560000, 1, 1], [10, 195955200000, 1, 1], [10, 209018880000, 1, 2], [10, 235146240000, 1, 1], [10, 244944000000, 1, 1], [10, 250822656000, 1, 1], [10, 278691840000, 1, 1], [10, 290304000000, 1, 1], [10, 300987187200, 1, 1], [10, 306180000000, 1, 1], [10, 313528320000, 1, 2], [10, 334430208000, 1, 1], [10, 348364800000, 1, 1], [10, 391910400000, 1, 1], [10, 401316249600, 1, 1], [10, 418037760000, 1, 2], [10, 435456000000, 1, 1], [10, 464486400000, 1, 1], [10, 501645312000, 1, 2], [10, 535088332800, 1, 1], [10, 550376570880, 1, 1], [10, 557383680000, 1, 1], [10, 587865600000, 1, 1], [10, 627056640000, 1, 2], [10, 802632499200, 1, 1], [10, 940584960000, 1, 1], [10, 979776000000, 1, 1], [10, 1003290624000, 1, 2], [10, 1045094400000, 1, 1], [10, 1203948748800, 1, 1], [10, 1254113280000, 1, 1], [10, 1306368000000, 1, 1], [10, 1469664000000, 1, 1], [10, 1504935936000, 1, 1], [10, 1567641600000, 1, 1], [10, 1605264998400, 1, 1], [10, 2006581248000, 1, 2], [10, 2090188800000, 1, 1], [10, 2508226560000, 1, 3], [10, 2612736000000, 1, 1], [10, 3344302080000, 1, 2], [10, 3483648000000, 1, 1], [10, 4180377600000, 1, 2], [10, 4702924800000, 1, 1], [10, 4815794995200, 1, 2], [10, 5016453120000, 1, 2], [10, 6688604160000, 1, 2], [10, 7524679680000, 1, 2], [10, 8360755200000, 1, 1], [10, 9405849600000, 1, 1], [10, 10032906240000, 1, 2], [10, 12039487488000, 1, 1], [10, 15049359360000, 1, 2], [10, 15676416000000, 1, 1], [10, 17635968000000, 1, 1], [10, 19263179980800, 1, 1], [10, 24078974976000, 1, 2], [10, 31352832000000, 1, 1], [10, 40131624960000, 1, 3], [10, 50164531200000, 1, 1], [10, 57789539942400, 1, 2], [10, 80263249920000, 1, 1], [10, 90296156160000, 1, 1], [10, 100329062400000, 1, 1], [10, 112870195200000, 1, 1], [10, 180592312320000, 1, 1], [10, 240789749760000, 1, 4], [10, 288947699712000, 1, 1], [10, 1444738498560000, 1, 2], [12, 33600, 1, 1], [12, 2016000, 1, 1], [12, 3024000, 1, 2], [12, 4032000, 1, 1], [12, 10080000, 1, 1], [12, 13440000, 1, 1], [12, 20160000, 1, 2], [12, 22680000, 1, 1], [12, 30240000, 1, 5], [12, 40320000, 1, 2], [12, 45360000, 1, 1], [12, 53760000, 1, 1], [12, 60480000, 1, 1], [12, 80640000, 1, 2], [12, 90720000, 1, 1], [12, 120960000, 1, 5], [12, 134400000, 1, 2], [12, 161280000, 1, 1], [12, 181440000, 1, 1], [12, 241920000, 1, 3], [12, 362880000, 1, 1], [12, 403200000, 1, 1], [12, 453600000, 1, 2], [12, 537600000, 1, 2], [12, 604800000, 1, 4], [12, 806400000, 1, 5], [12, 907200000, 1, 4], [12, 967680000, 1, 2], [12, 1008000000, 1, 1], [12, 1075200000, 1, 4], [12, 1209600000, 1, 11], [12, 1360800000, 1, 2], [12, 1451520000, 1, 2], [12, 1612800000, 1, 6], [12, 1814400000, 1, 11], [12, 1935360000, 1, 1], [12, 2419200000, 1, 13], [12, 2721600000, 1, 2], [12, 2903040000, 1, 2], [12, 3225600000, 1, 3], [12, 3628800000, 1, 8], [12, 4032000000, 1, 3], [12, 4536000000, 1, 1], [12, 4838400000, 1, 5], [12, 5103000000, 1, 1], [12, 5443200000, 1, 1], [12, 6048000000, 1, 6], [12, 7257600000, 1, 1], [12, 8064000000, 1, 8], [12, 9072000000, 1, 6], [12, 9676800000, 1, 2], [12, 10886400000, 1, 1], [12, 12096000000, 1, 14], [12, 13608000000, 1, 6], [12, 14515200000, 1, 9], [12, 16128000000, 1, 8], [12, 18144000000, 1, 14], [12, 19353600000, 1, 7], [12, 20160000000, 1, 1], [12, 20412000000, 1, 2], [12, 21772800000, 1, 2], [12, 24192000000, 1, 15], [12, 27216000000, 1, 16], [12, 29030400000, 1, 14], [12, 30240000000, 1, 2], [12, 32256000000, 1, 8], [12, 33600000000, 1, 1], [12, 36288000000, 1, 20], [12, 38707200000, 1, 4], [12, 40320000000, 1, 1], [12, 40824000000, 1, 4], [12, 43545600000, 1, 9], [12, 48384000000, 1, 31], [12, 53760000000, 1, 2], [12, 54432000000, 1, 6], [12, 58060800000, 1, 9], [12, 64512000000, 1, 5], [12, 72576000000, 1, 21], [12, 77414400000, 1, 1], [12, 81648000000, 1, 3], [12, 87091200000, 1, 4], [12, 90720000000, 1, 3], [12, 96768000000, 1, 11], [12, 102060000000, 1, 1], [12, 108864000000, 1, 14], [12, 116121600000, 1, 2], [12, 120960000000, 1, 10], [12, 134400000000, 1, 1], [12, 136080000000, 1, 4], [12, 145152000000, 1, 11], [12, 153090000000, 1, 2], [12, 161280000000, 1, 5], [12, 163296000000, 1, 3], [12, 181440000000, 1, 11], [12, 193536000000, 1, 12], [12, 201600000000, 1, 2], [12, 204120000000, 1, 1], [12, 217728000000, 1, 10], [12, 226800000000, 1, 1], [12, 241920000000, 1, 15], [12, 268800000000, 1, 2], [12, 272160000000, 1, 11], [12, 290304000000, 1, 23], [12, 302400000000, 1, 5], [12, 307200000000, 1, 1], [12, 322560000000, 1, 9], [12, 326592000000, 1, 5], [12, 362880000000, 1, 23], [12, 382725000000, 1, 1], [12, 387072000000, 1, 16], [12, 403200000000, 1, 1], [12, 408240000000, 1, 8], [12, 430080000000, 1, 2], [12, 435456000000, 1, 24], [12, 453600000000, 1, 3], [12, 483840000000, 1, 23], [12, 510300000000, 1, 1], [12, 537600000000, 1, 1], [12, 544320000000, 1, 16], [12, 580608000000, 1, 39], [12, 604800000000, 1, 1], [12, 612360000000, 1, 2], [12, 645120000000, 1, 7], [12, 653184000000, 1, 7], [12, 680400000000, 1, 1], [12, 696729600000, 1, 2], [12, 725760000000, 1, 29], [12, 774144000000, 1, 8], [12, 806400000000, 1, 2], [12, 816480000000, 1, 13], [12, 870912000000, 1, 31], [12, 907200000000, 1, 4], [12, 967680000000, 1, 27], [12, 1020600000000, 1, 2], [12, 1075200000000, 1, 4], [12, 1088640000000, 1, 24], [12, 1161216000000, 1, 22], [12, 1209600000000, 1, 5], [12, 1224720000000, 1, 1], [12, 1290240000000, 1, 3], [12, 1306368000000, 1, 10], [12, 1360800000000, 1, 4], [12, 1393459200000, 1, 1], [12, 1451520000000, 1, 34], [12, 1530900000000, 1, 5], [12, 1548288000000, 1, 2], [12, 1612800000000, 1, 7], [12, 1632960000000, 1, 5], [12, 1741824000000, 1, 16], [12, 1814400000000, 1, 15], [12, 1935360000000, 1, 18], [12, 2041200000000, 1, 3], [12, 2150400000000, 1, 2], [12, 2177280000000, 1, 14], [12, 2296350000000, 1, 1], [12, 2322432000000, 1, 6], [12, 2419200000000, 1, 14], [12, 2449440000000, 1, 3], [12, 2612736000000, 1, 5], [12, 2721600000000, 1, 16], [12, 2903040000000, 1, 28], [12, 3061800000000, 1, 2], [12, 3225600000000, 1, 5], [12, 3265920000000, 1, 19], [12, 3483648000000, 1, 8], [12, 3499200000000, 1, 1], [12, 3628800000000, 1, 22], [12, 3870720000000, 1, 11], [12, 4082400000000, 1, 8], [12, 4354560000000, 1, 29], [12, 4838400000000, 1, 26], [12, 4898880000000, 1, 3], [12, 5225472000000, 1, 2], [12, 5443200000000, 1, 11], [12, 5806080000000, 1, 39], [12, 6123600000000, 1, 7], [12, 6451200000000, 1, 6], [12, 6531840000000, 1, 16], [12, 7257600000000, 1, 23], [12, 7741440000000, 1, 23], [12, 8164800000000, 1, 16], [12, 8601600000000, 1, 1], [12, 8709120000000, 1, 53], [12, 9676800000000, 1, 14], [12, 9797760000000, 1, 8], [12, 10450944000000, 1, 3], [12, 10886400000000, 1, 32], [12, 11612160000000, 1, 51], [12, 12247200000000, 1, 5], [12, 12902400000000, 1, 2], [12, 13063680000000, 1, 30], [12, 13934592000000, 1, 8], [12, 14515200000000, 1, 26], [12, 15482880000000, 1, 10], [12, 16329600000000, 1, 17], [12, 17418240000000, 1, 56], [12, 18370800000000, 1, 2], [12, 19353600000000, 1, 21], [12, 19595520000000, 1, 7], [12, 20901888000000, 1, 4], [12, 21772800000000, 1, 19], [12, 23224320000000, 1, 32], [12, 24494400000000, 1, 8], [12, 26127360000000, 1, 29], [12, 27869184000000, 1, 9], [12, 29030400000000, 1, 28], [12, 30965760000000, 1, 1], [12, 32659200000000, 1, 9], [12, 34836480000000, 1, 29], [12, 36741600000000, 1, 1], [12, 38707200000000, 1, 12], [12, 39191040000000, 1, 7], [12, 41803776000000, 1, 4], [12, 43545600000000, 1, 33], [12, 46448640000000, 1, 4], [12, 48988800000000, 1, 6], [12, 52254720000000, 1, 9], [12, 55738368000000, 1, 3], [12, 58060800000000, 1, 25], [12, 65318400000000, 1, 27], [12, 69672960000000, 1, 4], [12, 73483200000000, 1, 1], [12, 77414400000000, 1, 10], [12, 78382080000000, 1, 2], [12, 83607552000000, 1, 2], [12, 87091200000000, 1, 33], [12, 97977600000000, 1, 14], [12, 104509440000000, 1, 8], [12, 116121600000000, 1, 40], [12, 130636800000000, 1, 30], [12, 139345920000000, 1, 9], [12, 146966400000000, 1, 4], [12, 154828800000000, 1, 10], [12, 156764160000000, 1, 4], [12, 174182400000000, 1, 49], [12, 195955200000000, 1, 21], [12, 209018880000000, 1, 9], [12, 232243200000000, 1, 32], [12, 261273600000000, 1, 32], [12, 278691840000000, 1, 12], [12, 293932800000000, 1, 4], [12, 309657600000000, 1, 3], [12, 313528320000000, 1, 2], [12, 348364800000000, 1, 50], [12, 391910400000000, 1, 11], [12, 418037760000000, 1, 22], [12, 464486400000000, 1, 10], [12, 522547200000000, 1, 25], [12, 557383680000000, 1, 10], [12, 587865600000000, 1, 1], [12, 627056640000000, 1, 4], [12, 696729600000000, 1, 11], [12, 783820800000000, 1, 13], [12, 836075520000000, 1, 10], [12, 928972800000000, 1, 1], [12, 1045094400000000, 1, 4], [12, 1114767360000000, 1, 2], [12, 1175731200000000, 1, 2], [12, 1254113280000000, 1, 6], [12, 1393459200000000, 1, 11], [12, 1567641600000000, 1, 2], [12, 1672151040000000, 1, 3], [12, 2090188800000000, 1, 10], [12, 2351462400000000, 1, 1], [12, 2786918400000000, 1, 3], [12, 3135283200000000, 1, 3], [12, 4180377600000000, 1, 9], [12, 5016453120000000, 1, 6], [12, 5573836800000000, 1, 10], [12, 6270566400000000, 1, 9], [12, 8360755200000000, 1, 13], [12, 9405849600000000, 1, 3], [12, 10032906240000000, 1, 2], [12, 11147673600000000, 1, 3], [12, 12541132800000000, 1, 6], [12, 16721510400000000, 1, 9], [12, 18811699200000000, 1, 2], [12, 25082265600000000, 1, 5], [12, 33443020800000000, 1, 2], [12, 37623398400000000, 1, 1], [12, 50164531200000000, 1, 3], [12, 66886041600000000, 1, 2], [12, 75246796800000000, 1, 2], [12, 100329062400000000, 1, 4], [14, 8599633920000000, 2, 2], [14, 57330892800000000, 2, 1], [14, 128994508800000000, 2, 1], [15, 26880, 1, 1], [15, 1612800, 1, 1], [15, 1935360, 1, 1], [15, 10752000, 1, 1], [15, 15482880, 1, 1], [15, 19353600, 1, 1], [15, 43008000, 1, 1], [15, 61931520, 1, 1], [15, 77414400, 1, 1], [15, 215040000, 1, 1], [15, 371589120, 1, 1], [15, 860160000, 1, 1], [15, 1032192000, 1, 1], [15, 1238630400, 1, 1], [15, 1486356480, 1, 1], [15, 1548288000, 1, 1], [15, 1857945600, 1, 1], [15, 7741440000, 1, 1], [15, 11147673600, 1, 1], [15, 12902400000, 1, 1], [15, 24772608000, 1, 1], [15, 26754416640, 1, 1], [15, 30965760000, 1, 1], [15, 37158912000, 1, 1], [15, 44590694400, 1, 1], [15, 86016000000, 1, 1], [15, 123863040000, 1, 1], [15, 148635648000, 1, 1], [15, 214035333120, 1, 1], [15, 245760000000, 1, 1], [15, 309657600000, 1, 1], [15, 495452160000, 1, 1], [15, 535088332800, 1, 1], [15, 594542592000, 1, 1], [15, 733835427840, 1, 1], [15, 743178240000, 1, 1], [15, 1032192000000, 1, 1], [15, 2140353331200, 1, 1], [15, 2229534720000, 1, 2], [15, 2477260800000, 1, 1], [15, 2972712960000, 1, 1], [15, 3567255552000, 1, 1], [15, 26754416640000, 1, 2], [15, 44590694400000, 1, 3], [15, 53508833280000, 1, 2], [15, 891813888000000, 1, 1], [15, 1070176665600000, 1, 3], [15, 1284211998720000, 1, 2], [15, 7705271992320000, 1, 2], [15, 10701766656000000, 1, 1], [15, 25684239974400000, 1, 1], [16, 10450944000000, 1, 1], [16, 20901888000000, 1, 1], [16, 31352832000000, 1, 1], [16, 62705664000000, 1, 1], [16, 313528320000000, 1, 3], [16, 940584960000000, 1, 3], [16, 1045094400000000, 1, 1], [16, 2351462400000000, 1, 1], [16, 3135283200000000, 1, 1], [16, 4702924800000000, 1, 1], [16, 6270566400000000, 1, 1], [16, 7054387200000000, 1, 1], [16, 9405849600000000, 1, 1], [16, 14108774400000000, 1, 1], [16, 18811699200000000, 1, 1], [16, 28217548800000000, 1, 1], [16, 75246796800000000, 1, 2], [16, 112870195200000000, 1, 2], [16, 150493593600000000, 1, 2], [16, 225740390400000000, 1, 2], [18, 18579456000000, 1, 4], [18, 27869184000000, 1, 3], [18, 37158912000000, 1, 2], [18, 185794560000000, 1, 3], [18, 278691840000000, 1, 6], [18, 371589120000000, 1, 10], [18, 418037760000000, 1, 3], [18, 557383680000000, 1, 10], [18, 743178240000000, 1, 6], [18, 1857945600000000, 1, 3], [18, 2786918400000000, 1, 3], [18, 3715891200000000, 1, 4], [18, 4180377600000000, 1, 5], [18, 5573836800000000, 1, 10], [18, 6270566400000000, 1, 1], [18, 6688604160000000, 1, 2], [18, 7431782400000000, 1, 11], [18, 8360755200000000, 1, 4], [18, 11147673600000000, 1, 8], [18, 14863564800000000, 1, 2], [18, 133772083200000000, 1, 2], [20, 2419200, 1, 1], [20, 3628800, 1, 1], [20, 29030400, 1, 1], [20, 36288000, 1, 1], [20, 43545600, 1, 1], [20, 54432000, 1, 1], [20, 116121600, 1, 1], [20, 145152000, 1, 1], [20, 161280000, 1, 2], [20, 174182400, 1, 1], [20, 217728000, 1, 1], [20, 435456000, 1, 1], [20, 483840000, 1, 1], [20, 725760000, 1, 1], [20, 928972800, 1, 2], [20, 1088640000, 1, 4], [20, 1451520000, 1, 4], [20, 1632960000, 1, 1], [20, 1741824000, 1, 4], [20, 2177280000, 1, 1], [20, 2612736000, 1, 1], [20, 2786918400, 1, 2], [20, 3265920000, 1, 2], [20, 3483648000, 1, 1], [20, 4180377600, 1, 1], [20, 4354560000, 1, 2], [20, 5225472000, 1, 2], [20, 5806080000, 1, 2], [20, 7257600000, 1, 3], [20, 8709120000, 1, 1], [20, 10886400000, 1, 1], [20, 11612160000, 1, 4], [20, 13063680000, 1, 2], [20, 14515200000, 1, 1], [20, 16329600000, 1, 3], [20, 16721510400, 1, 1], [20, 17418240000, 1, 3], [20, 19595520000, 1, 1], [20, 20901888000, 1, 1], [20, 21772800000, 1, 3], [20, 23224320000, 1, 1], [20, 24192000000, 1, 1], [20, 24494400000, 1, 1], [20, 25082265600, 1, 1], [20, 26127360000, 1, 5], [20, 32659200000, 1, 1], [20, 34836480000, 1, 6], [20, 36288000000, 1, 1], [20, 39191040000, 1, 4], [20, 41803776000, 1, 5], [20, 43545600000, 1, 2], [20, 48988800000, 1, 3], [20, 52254720000, 1, 6], [20, 62705664000, 1, 1], [20, 65318400000, 1, 3], [20, 66886041600, 1, 1], [20, 69672960000, 1, 4], [20, 83607552000, 1, 1], [20, 87091200000, 1, 2], [20, 92897280000, 1, 2], [20, 100329062400, 1, 1], [20, 104509440000, 1, 4], [20, 108864000000, 1, 3], [20, 122472000000, 1, 1], [20, 125411328000, 1, 2], [20, 130636800000, 1, 1], [20, 139345920000, 1, 1], [20, 145152000000, 1, 3], [20, 156764160000, 1, 3], [20, 163296000000, 1, 1], [20, 174182400000, 1, 8], [20, 183708000000, 1, 1], [20, 195955200000, 1, 3], [20, 217728000000, 1, 1], [20, 261273600000, 1, 1], [20, 278691840000, 1, 3], [20, 290304000000, 1, 1], [20, 313528320000, 1, 1], [20, 326592000000, 1, 4], [20, 348364800000, 1, 7], [20, 362880000000, 1, 1], [20, 391910400000, 1, 6], [20, 418037760000, 1, 3], [20, 435456000000, 1, 2], [20, 489888000000, 1, 1], [20, 501645312000, 1, 2], [20, 522547200000, 1, 9], [20, 544320000000, 1, 3], [20, 557383680000, 1, 3], [20, 580608000000, 1, 1], [20, 587865600000, 1, 1], [20, 627056640000, 1, 8], [20, 653184000000, 1, 2], [20, 734832000000, 1, 2], [20, 752467968000, 1, 1], [20, 783820800000, 1, 4], [20, 802632499200, 1, 1], [20, 836075520000, 1, 10], [20, 940584960000, 1, 1], [20, 979776000000, 1, 4], [20, 1003290624000, 1, 2], [20, 1045094400000, 1, 14], [20, 1161216000000, 1, 3], [20, 1175731200000, 1, 3], [20, 1203948748800, 1, 1], [20, 1254113280000, 1, 5], [20, 1306368000000, 1, 4], [20, 1393459200000, 1, 2], [20, 1469664000000, 1, 1], [20, 1567641600000, 1, 7], [20, 1632960000000, 1, 1], [20, 1672151040000, 1, 6], [20, 1741824000000, 1, 1], [20, 1837080000000, 1, 1], [20, 1881169920000, 1, 2], [20, 1959552000000, 1, 3], [20, 2006581248000, 1, 1], [20, 2090188800000, 1, 2], [20, 2177280000000, 1, 3], [20, 2204496000000, 1, 1], [20, 2229534720000, 1, 1], [20, 2449440000000, 1, 1], [20, 2508226560000, 1, 4], [20, 2612736000000, 1, 8], [20, 2755620000000, 1, 1], [20, 2939328000000, 1, 2], [20, 3009871872000, 1, 3], [20, 3135283200000, 1, 7], [20, 3210529996800, 1, 1], [20, 3344302080000, 1, 1], [20, 3483648000000, 1, 7], [20, 3674160000000, 1, 1], [20, 3762339840000, 1, 2], [20, 3919104000000, 1, 4], [20, 4180377600000, 1, 6], [20, 4354560000000, 1, 1], [20, 4702924800000, 1, 3], [20, 4815794995200, 1, 1], [20, 4898880000000, 1, 5], [20, 5016453120000, 1, 2], [20, 5225472000000, 1, 10], [20, 5643509760000, 1, 1], [20, 5878656000000, 1, 4], [20, 6270566400000, 1, 3], [20, 6531840000000, 1, 1], [20, 6688604160000, 1, 2], [20, 6967296000000, 1, 3], [20, 7524679680000, 1, 1], [20, 7838208000000, 1, 6], [20, 8360755200000, 1, 6], [20, 8709120000000, 1, 1], [20, 8817984000000, 1, 2], [20, 9405849600000, 1, 6], [20, 10032906240000, 1, 3], [20, 10450944000000, 1, 4], [20, 11757312000000, 1, 4], [20, 12039487488000, 1, 1], [20, 12541132800000, 1, 13], [20, 13377208320000, 1, 1], [20, 13934592000000, 1, 1], [20, 14108774400000, 1, 1], [20, 14696640000000, 1, 3], [20, 15049359360000, 1, 4], [20, 15676416000000, 1, 16], [20, 17418240000000, 1, 3], [20, 18059231232000, 1, 1], [20, 18811699200000, 1, 3], [20, 19595520000000, 1, 4], [20, 20065812480000, 1, 9], [20, 20901888000000, 1, 2], [20, 22044960000000, 1, 1], [20, 22574039040000, 1, 3], [20, 23514624000000, 1, 8], [20, 24078974976000, 1, 1], [20, 25082265600000, 1, 16], [20, 27869184000000, 1, 1], [20, 29393280000000, 1, 1], [20, 30098718720000, 1, 3], [20, 31352832000000, 1, 5], [20, 35271936000000, 1, 2], [20, 37623398400000, 1, 6], [20, 39191040000000, 1, 4], [20, 40131624960000, 1, 4], [20, 41803776000000, 1, 5], [20, 44089920000000, 1, 1], [20, 47029248000000, 1, 4], [20, 50164531200000, 1, 2], [20, 52254720000000, 1, 6], [20, 60197437440000, 1, 2], [20, 62705664000000, 1, 5], [20, 70543872000000, 1, 1], [20, 72236924928000, 1, 2], [20, 75246796800000, 1, 4], [20, 78382080000000, 1, 3], [20, 83607552000000, 1, 4], [20, 94058496000000, 1, 4], [20, 100329062400000, 1, 3], [20, 104509440000000, 1, 2], [20, 112870195200000, 1, 2], [20, 117573120000000, 1, 6], [20, 125411328000000, 1, 5], [20, 141087744000000, 1, 3], [20, 150493593600000, 1, 4], [20, 156764160000000, 1, 4], [20, 160526499840000, 1, 1], [20, 167215104000000, 1, 4], [20, 176359680000000, 1, 2], [20, 188116992000000, 1, 8], [20, 200658124800000, 1, 1], [20, 225740390400000, 1, 1], [20, 235146240000000, 1, 4], [20, 240789749760000, 1, 5], [20, 250822656000000, 1, 1], [20, 282175488000000, 1, 3], [20, 300987187200000, 1, 8], [20, 313528320000000, 1, 2], [20, 352719360000000, 1, 3], [20, 361184624640000, 1, 2], [20, 376233984000000, 1, 8], [20, 451480780800000, 1, 2], [20, 470292480000000, 1, 3], [20, 481579499520000, 1, 2], [20, 501645312000000, 1, 8], [20, 564350976000000, 1, 3], [20, 601974374400000, 1, 8], [20, 627056640000000, 1, 3], [20, 722369249280000, 1, 1], [20, 752467968000000, 1, 3], [20, 902961561600000, 1, 2], [20, 963158999040000, 1, 1], [20, 1128701952000000, 1, 3], [20, 1254113280000000, 1, 1], [20, 1410877440000000, 1, 2], [20, 2006581248000000, 1, 2], [20, 2257403904000000, 1, 2], [20, 2508226560000000, 1, 2], [20, 2821754880000000, 1, 1], [20, 3611846246400000, 1, 4], [20, 4013162496000000, 1, 1], [20, 4514807808000000, 1, 1], [20, 5778953994240000, 1, 2], [20, 6019743744000000, 1, 2], [20, 7524679680000000, 1, 2], [20, 9029615616000000, 1, 1], [20, 11287019520000000, 1, 1], [20, 12039487488000000, 1, 4], [20, 14447384985600000, 1, 1], [20, 18059231232000000, 1, 1], [20, 72236924928000000, 1, 2], [20, 144473849856000000, 1, 2], [21, 11466178560000000, 2, 2], [21, 229323571200000000, 2, 1], [24, 725760000, 1, 1], [24, 2903040000, 1, 1], [24, 29030400000, 1, 3], [24, 43545600000, 1, 4], [24, 58060800000, 1, 4], [24, 87091200000, 1, 3], [24, 116121600000, 1, 1], [24, 145152000000, 1, 1], [24, 174182400000, 1, 1], [24, 290304000000, 1, 5], [24, 326592000000, 1, 1], [24, 435456000000, 1, 6], [24, 580608000000, 1, 10], [24, 653184000000, 1, 4], [24, 870912000000, 1, 14], [24, 1161216000000, 1, 9], [24, 1306368000000, 1, 7], [24, 1741824000000, 1, 15], [24, 2322432000000, 1, 2], [24, 2612736000000, 1, 8], [24, 2903040000000, 1, 3], [24, 3483648000000, 1, 4], [24, 4354560000000, 1, 4], [24, 5225472000000, 1, 1], [24, 5806080000000, 1, 4], [24, 6531840000000, 1, 3], [24, 6967296000000, 1, 2], [24, 7257600000000, 1, 1], [24, 8709120000000, 1, 15], [24, 9797760000000, 1, 4], [24, 10450944000000, 1, 4], [24, 11612160000000, 1, 12], [24, 13063680000000, 1, 14], [24, 13934592000000, 1, 3], [24, 17418240000000, 1, 28], [24, 19595520000000, 1, 4], [24, 20901888000000, 1, 2], [24, 23224320000000, 1, 13], [24, 26127360000000, 1, 30], [24, 27869184000000, 1, 1], [24, 29030400000000, 1, 3], [24, 32659200000000, 1, 1], [24, 34836480000000, 1, 24], [24, 36741600000000, 1, 1], [24, 39191040000000, 1, 12], [24, 41803776000000, 1, 3], [24, 43545600000000, 1, 6], [24, 46448640000000, 1, 2], [24, 52254720000000, 1, 19], [24, 58060800000000, 1, 8], [24, 65318400000000, 1, 6], [24, 69672960000000, 1, 6], [24, 78382080000000, 1, 6], [24, 87091200000000, 1, 10], [24, 97977600000000, 1, 6], [24, 104509440000000, 1, 3], [24, 116121600000000, 1, 8], [24, 130636800000000, 1, 15], [24, 139345920000000, 1, 3], [24, 146966400000000, 1, 2], [24, 174182400000000, 1, 20], [24, 195955200000000, 1, 9], [24, 209018880000000, 1, 14], [24, 232243200000000, 1, 8], [24, 261273600000000, 1, 26], [24, 278691840000000, 1, 6], [24, 293932800000000, 1, 4], [24, 313528320000000, 1, 9], [24, 348364800000000, 1, 23], [24, 391910400000000, 1, 19], [24, 418037760000000, 1, 15], [24, 464486400000000, 1, 5], [24, 522547200000000, 1, 32], [24, 557383680000000, 1, 3], [24, 587865600000000, 1, 6], [24, 627056640000000, 1, 9], [24, 696729600000000, 1, 16], [24, 783820800000000, 1, 18], [24, 836075520000000, 1, 7], [24, 1045094400000000, 1, 17], [24, 1175731200000000, 1, 5], [24, 1254113280000000, 1, 3], [24, 1393459200000000, 1, 6], [24, 1567641600000000, 1, 13], [24, 2090188800000000, 1, 13], [24, 2351462400000000, 1, 4], [24, 2786918400000000, 1, 7], [24, 3135283200000000, 1, 18], [24, 4180377600000000, 1, 24], [24, 4702924800000000, 1, 5], [24, 5573836800000000, 1, 5], [24, 6270566400000000, 1, 21], [24, 8360755200000000, 1, 13], [24, 9405849600000000, 1, 8], [24, 11147673600000000, 1, 1], [24, 12541132800000000, 1, 13], [24, 16721510400000000, 1, 4], [24, 18811699200000000, 1, 4], [24, 25082265600000000, 1, 2], [24, 50164531200000000, 1, 4], [24, 75246796800000000, 1, 2], [24, 100329062400000000, 1, 8], [24, 150493593600000000, 1, 2], [24, 200658124800000000, 1, 2], [24, 300987187200000000, 1, 2], [28, 171992678400000000, 2, 2], [28, 515978035200000000, 2, 1], [30, 1612800, 1, 2], [30, 2419200, 1, 1], [30, 8064000, 1, 1], [30, 18144000, 1, 1], [30, 19353600, 1, 2], [30, 24192000, 1, 3], [30, 29030400, 1, 1], [30, 32256000, 1, 3], [30, 72576000, 1, 1], [30, 77414400, 1, 2], [30, 96768000, 1, 3], [30, 107520000, 1, 2], [30, 116121600, 1, 1], [30, 129024000, 1, 2], [30, 215040000, 1, 1], [30, 322560000, 1, 3], [30, 362880000, 1, 2], [30, 387072000, 1, 1], [30, 430080000, 1, 2], [30, 483840000, 1, 3], [30, 580608000, 1, 1], [30, 619315200, 1, 2], [30, 645120000, 1, 6], [30, 725760000, 1, 5], [30, 774144000, 1, 2], [30, 806400000, 1, 1], [30, 860160000, 1, 1], [30, 870912000, 1, 1], [30, 928972800, 1, 2], [30, 967680000, 1, 1], [30, 1088640000, 1, 1], [30, 1161216000, 1, 6], [30, 1238630400, 1, 1], [30, 1290240000, 1, 5], [30, 1451520000, 1, 5], [30, 1548288000, 1, 4], [30, 1741824000, 1, 2], [30, 1857945600, 1, 2], [30, 1935360000, 1, 9], [30, 2322432000, 1, 8], [30, 2580480000, 1, 3], [30, 2786918400, 1, 1], [30, 3096576000, 1, 3], [30, 3225600000, 1, 1], [30, 3628800000, 1, 1], [30, 3870720000, 1, 4], [30, 4082400000, 1, 1], [30, 4838400000, 1, 5], [30, 5806080000, 1, 1], [30, 6451200000, 1, 5], [30, 7257600000, 1, 3], [30, 7741440000, 1, 9], [30, 8709120000, 1, 3], [30, 9289728000, 1, 1], [30, 9676800000, 1, 9], [30, 10886400000, 1, 5], [30, 11147673600, 1, 2], [30, 11612160000, 1, 3], [30, 12902400000, 1, 7], [30, 13063680000, 1, 1], [30, 14515200000, 1, 7], [30, 15482880000, 1, 3], [30, 16128000000, 1, 3], [30, 16329600000, 1, 1], [30, 16721510400, 1, 1], [30, 17418240000, 1, 9], [30, 18579456000, 1, 2], [30, 19353600000, 1, 12], [30, 20901888000, 1, 1], [30, 21772800000, 1, 5], [30, 23224320000, 1, 16], [30, 24192000000, 1, 1], [30, 25804800000, 1, 9], [30, 26127360000, 1, 2], [30, 26880000000, 1, 1], [30, 27869184000, 1, 8], [30, 29030400000, 1, 11], [30, 30965760000, 1, 11], [30, 34836480000, 1, 8], [30, 37158912000, 1, 4], [30, 38707200000, 1, 12], [30, 41803776000, 1, 2], [30, 43008000000, 1, 2], [30, 44590694400, 1, 2], [30, 46448640000, 1, 18], [30, 51609600000, 1, 5], [30, 55738368000, 1, 9], [30, 58060800000, 1, 2], [30, 61931520000, 1, 4], [30, 64512000000, 1, 4], [30, 66886041600, 1, 1], [30, 69672960000, 1, 4], [30, 72576000000, 1, 5], [30, 74317824000, 1, 3], [30, 77414400000, 1, 3], [30, 81648000000, 1, 3], [30, 86016000000, 1, 1], [30, 87091200000, 1, 1], [30, 92897280000, 1, 3], [30, 96768000000, 1, 1], [30, 97977600000, 1, 1], [30, 107520000000, 1, 1], [30, 108864000000, 1, 3], [30, 111476736000, 1, 2], [30, 116121600000, 1, 7], [30, 122472000000, 1, 1], [30, 123863040000, 1, 2], [30, 129024000000, 1, 5], [30, 145152000000, 1, 11], [30, 154828800000, 1, 6], [30, 174182400000, 1, 3], [30, 181440000000, 1, 1], [30, 185794560000, 1, 3], [30, 193536000000, 1, 14], [30, 209018880000, 1, 2], [30, 217728000000, 1, 1], [30, 232243200000, 1, 13], [30, 241920000000, 1, 3], [30, 247726080000, 1, 2], [30, 250822656000, 1, 1], [30, 258048000000, 1, 10], [30, 261273600000, 1, 7], [30, 278691840000, 1, 10], [30, 290304000000, 1, 12], [30, 306180000000, 1, 1], [30, 309657600000, 1, 7], [30, 322560000000, 1, 2], [30, 326592000000, 1, 3], [30, 334430208000, 1, 3], [30, 348364800000, 1, 13], [30, 362880000000, 1, 2], [30, 371589120000, 1, 7], [30, 387072000000, 1, 9], [30, 391910400000, 1, 1], [30, 408240000000, 1, 1], [30, 418037760000, 1, 7], [30, 430080000000, 1, 1], [30, 435456000000, 1, 9], [30, 445906944000, 1, 3], [30, 464486400000, 1, 22], [30, 495452160000, 1, 1], [30, 516096000000, 1, 5], [30, 522547200000, 1, 9], [30, 535088332800, 1, 2], [30, 544320000000, 1, 1], [30, 557383680000, 1, 8], [30, 580608000000, 1, 12], [30, 619315200000, 1, 10], [30, 627056640000, 1, 1], [30, 645120000000, 1, 2], [30, 668860416000, 1, 3], [30, 696729600000, 1, 20], [30, 725760000000, 1, 3], [30, 743178240000, 1, 6], [30, 774144000000, 1, 17], [30, 783820800000, 1, 1], [30, 802632499200, 1, 1], [30, 836075520000, 1, 9], [30, 860160000000, 1, 4], [30, 870912000000, 1, 4], [30, 928972800000, 1, 29], [30, 967680000000, 1, 4], [30, 979776000000, 1, 3], [30, 1003290624000, 1, 1], [30, 1032192000000, 1, 6], [30, 1045094400000, 1, 2], [30, 1088640000000, 1, 3], [30, 1114767360000, 1, 18], [30, 1161216000000, 1, 3], [30, 1224720000000, 1, 3], [30, 1238630400000, 1, 7], [30, 1254113280000, 1, 1], [30, 1290240000000, 1, 5], [30, 1306368000000, 1, 1], [30, 1337720832000, 1, 7], [30, 1393459200000, 1, 8], [30, 1451520000000, 1, 7], [30, 1469664000000, 1, 1], [30, 1486356480000, 1, 5], [30, 1548288000000, 1, 5], [30, 1632960000000, 1, 3], [30, 1672151040000, 1, 6], [30, 1720320000000, 1, 2], [30, 1741824000000, 1, 10], [30, 1783627776000, 1, 2], [30, 1857945600000, 1, 7], [30, 1935360000000, 1, 5], [30, 2090188800000, 1, 3], [30, 2140353331200, 1, 2], [30, 2177280000000, 1, 5], [30, 2229534720000, 1, 6], [30, 2322432000000, 1, 9], [30, 2477260800000, 1, 2], [30, 2508226560000, 1, 3], [30, 2580480000000, 1, 3], [30, 2612736000000, 1, 2], [30, 2675441664000, 1, 2], [30, 2786918400000, 1, 5], [30, 2903040000000, 1, 10], [30, 2972712960000, 1, 1], [30, 3096576000000, 1, 11], [30, 3135283200000, 1, 1], [30, 3210529996800, 1, 1], [30, 3440640000000, 1, 2], [30, 3483648000000, 1, 7], [30, 3715891200000, 1, 5], [30, 3870720000000, 1, 10], [30, 3919104000000, 1, 3], [30, 4013162496000, 1, 2], [30, 4180377600000, 1, 6], [30, 4354560000000, 1, 5], [30, 4459069440000, 1, 4], [30, 4644864000000, 1, 15], [30, 4954521600000, 1, 4], [30, 5016453120000, 1, 1], [30, 5160960000000, 1, 6], [30, 5225472000000, 1, 9], [30, 5573836800000, 1, 9], [30, 5806080000000, 1, 10], [30, 5945425920000, 1, 1], [30, 6019743744000, 1, 1], [30, 6193152000000, 1, 1], [30, 6270566400000, 1, 5], [30, 6531840000000, 1, 2], [30, 6688604160000, 1, 3], [30, 6881280000000, 1, 1], [30, 6967296000000, 1, 15], [30, 7431782400000, 1, 4], [30, 7741440000000, 1, 5], [30, 7838208000000, 1, 3], [30, 8026324992000, 1, 3], [30, 8360755200000, 1, 13], [30, 8709120000000, 1, 3], [30, 8918138880000, 1, 1], [30, 9289728000000, 1, 19], [30, 9909043200000, 1, 2], [30, 10032906240000, 1, 3], [30, 10321920000000, 1, 1], [30, 10450944000000, 1, 9], [30, 10701766656000, 1, 2], [30, 11147673600000, 1, 16], [30, 11612160000000, 1, 5], [30, 12386304000000, 1, 6], [30, 12541132800000, 1, 4], [30, 13377208320000, 1, 9], [30, 13934592000000, 1, 20], [30, 14863564800000, 1, 3], [30, 15482880000000, 1, 4], [30, 16052649984000, 1, 1], [30, 16721510400000, 1, 14], [30, 17836277760000, 1, 2], [30, 18579456000000, 1, 19], [30, 20065812480000, 1, 6], [30, 20901888000000, 1, 2], [30, 22295347200000, 1, 18], [30, 25082265600000, 1, 2], [30, 26127360000000, 1, 1], [30, 26754416640000, 1, 9], [30, 27869184000000, 1, 10], [30, 29393280000000, 1, 1], [30, 32105299968000, 1, 3], [30, 33443020800000, 1, 12], [30, 34836480000000, 1, 1], [30, 37158912000000, 1, 2], [30, 40131624960000, 1, 4], [30, 41803776000000, 1, 1], [30, 44590694400000, 1, 3], [30, 46448640000000, 1, 4], [30, 52254720000000, 1, 1], [30, 53508833280000, 1, 1], [30, 55738368000000, 1, 5], [30, 62705664000000, 1, 4], [30, 66886041600000, 1, 2], [30, 69672960000000, 1, 2], [30, 78382080000000, 1, 1], [30, 83607552000000, 1, 4], [30, 92897280000000, 1, 5], [30, 94058496000000, 1, 1], [30, 96315899904000, 1, 2], [30, 100329062400000, 1, 2], [30, 104509440000000, 1, 4], [30, 111476736000000, 1, 7], [30, 125411328000000, 1, 4], [30, 133772083200000, 1, 2], [30, 139345920000000, 1, 6], [30, 150493593600000, 1, 2], [30, 156764160000000, 1, 1], [30, 160526499840000, 1, 3], [30, 167215104000000, 1, 9], [30, 185794560000000, 1, 8], [30, 188116992000000, 1, 1], [30, 200658124800000, 1, 8], [30, 209018880000000, 1, 4], [30, 222953472000000, 1, 12], [30, 240789749760000, 1, 1], [30, 250822656000000, 1, 1], [30, 267544166400000, 1, 9], [30, 278691840000000, 1, 7], [30, 300987187200000, 1, 2], [30, 321052999680000, 1, 3], [30, 334430208000000, 1, 9], [30, 371589120000000, 1, 3], [30, 385263599616000, 1, 1], [30, 401316249600000, 1, 5], [30, 445906944000000, 1, 11], [30, 481579499520000, 1, 2], [30, 501645312000000, 1, 7], [30, 535088332800000, 1, 4], [30, 557383680000000, 1, 3], [30, 642105999360000, 1, 1], [30, 668860416000000, 1, 8], [30, 802632499200000, 1, 9], [30, 891813888000000, 1, 2], [30, 1003290624000000, 1, 2], [30, 2006581248000000, 1, 2], [30, 2675441664000000, 1, 2], [30, 3344302080000000, 1, 8], [30, 4013162496000000, 1, 2], [30, 4459069440000000, 1, 3], [30, 4815794995200000, 1, 2], [30, 5350883328000000, 1, 2], [30, 6019743744000000, 1, 2], [30, 6688604160000000, 1, 6], [30, 7524679680000000, 1, 2], [30, 8026324992000000, 1, 4], [30, 8918138880000000, 1, 2], [30, 10032906240000000, 1, 3], [30, 10701766656000000, 1, 4], [30, 12039487488000000, 1, 2], [30, 13377208320000000, 1, 2], [30, 16052649984000000, 1, 3], [30, 19263179980800000, 1, 2], [30, 160526499840000000, 1, 2], [30, 192631799808000000, 1, 2], [35, 13759414272000000, 2, 2], [35, 165112971264000000, 2, 2], [36, 55738368000000, 1, 3], [36, 557383680000000, 1, 6], [36, 836075520000000, 1, 6], [36, 1114767360000000, 1, 10], [36, 1672151040000000, 1, 3], [36, 5573836800000000, 1, 3], [36, 8360755200000000, 1, 6], [36, 11147673600000000, 1, 10], [36, 12541132800000000, 1, 3], [36, 16721510400000000, 1, 15], [36, 22295347200000000, 1, 8], [36, 25082265600000000, 1, 3], [36, 33443020800000000, 1, 4], [36, 50164531200000000, 1, 1], [36, 66886041600000000, 1, 2], [36, 100329062400000000, 1, 2], [36, 133772083200000000, 1, 2], [40, 34836480000, 1, 3], [40, 52254720000, 1, 1], [40, 69672960000, 1, 1], [40, 104509440000, 1, 2], [40, 209018880000, 1, 1], [40, 418037760000, 1, 1], [40, 522547200000, 1, 3], [40, 627056640000, 1, 1], [40, 783820800000, 1, 1], [40, 836075520000, 1, 3], [40, 1045094400000, 1, 6], [40, 1254113280000, 1, 1], [40, 1567641600000, 1, 3], [40, 1672151040000, 1, 2], [40, 2508226560000, 1, 2], [40, 3135283200000, 1, 5], [40, 3483648000000, 1, 3], [40, 5016453120000, 1, 2], [40, 5225472000000, 1, 1], [40, 6967296000000, 1, 1], [40, 7838208000000, 1, 3], [40, 10450944000000, 1, 3], [40, 11757312000000, 1, 1], [40, 12541132800000, 1, 4], [40, 15676416000000, 1, 6], [40, 18811699200000, 1, 1], [40, 20065812480000, 1, 3], [40, 20901888000000, 1, 5], [40, 23514624000000, 1, 3], [40, 25082265600000, 1, 7], [40, 30098718720000, 1, 1], [40, 31352832000000, 1, 6], [40, 37623398400000, 1, 3], [40, 40131624960000, 1, 1], [40, 41803776000000, 1, 1], [40, 47029248000000, 1, 6], [40, 52254720000000, 1, 3], [40, 60197437440000, 1, 2], [40, 62705664000000, 1, 4], [40, 75246796800000, 1, 5], [40, 78382080000000, 1, 1], [40, 83607552000000, 1, 2], [40, 94058496000000, 1, 4], [40, 104509440000000, 1, 1], [40, 117573120000000, 1, 3], [40, 120394874880000, 1, 2], [40, 125411328000000, 1, 1], [40, 141087744000000, 1, 1], [40, 150493593600000, 1, 2], [40, 156764160000000, 1, 3], [40, 167215104000000, 1, 3], [40, 176359680000000, 1, 1], [40, 180592312320000, 1, 1], [40, 188116992000000, 1, 3], [40, 235146240000000, 1, 1], [40, 250822656000000, 1, 5], [40, 282175488000000, 1, 1], [40, 300987187200000, 1, 3], [40, 313528320000000, 1, 5], [40, 352719360000000, 1, 2], [40, 376233984000000, 1, 10], [40, 451480780800000, 1, 1], [40, 470292480000000, 1, 6], [40, 481579499520000, 1, 1], [40, 501645312000000, 1, 9], [40, 564350976000000, 1, 3], [40, 601974374400000, 1, 2], [40, 705438720000000, 1, 2], [40, 752467968000000, 1, 3], [40, 902961561600000, 1, 2], [40, 940584960000000, 1, 3], [40, 1128701952000000, 1, 3], [40, 1254113280000000, 1, 1], [40, 1410877440000000, 1, 3], [40, 1444738498560000, 1, 1], [40, 1504935936000000, 1, 4], [40, 1805923123200000, 1, 1], [40, 2006581248000000, 1, 1], [40, 2257403904000000, 1, 3], [40, 2508226560000000, 1, 4], [40, 2821754880000000, 1, 1], [40, 3009871872000000, 1, 3], [40, 3611846246400000, 1, 2], [40, 3762339840000000, 1, 3], [40, 4013162496000000, 1, 1], [40, 4514807808000000, 1, 3], [40, 5643509760000000, 1, 4], [40, 6019743744000000, 1, 1], [40, 7524679680000000, 1, 9], [40, 9029615616000000, 1, 1], [40, 11287019520000000, 1, 1], [40, 12039487488000000, 1, 3], [40, 18059231232000000, 1, 1], [40, 22574039040000000, 1, 3], [40, 36118462464000000, 1, 1], [40, 90296156160000000, 1, 2], [40, 180592312320000000, 1, 2], [42, 114661785600000000, 2, 2], [42, 171992678400000000, 2, 2], [42, 229323571200000000, 2, 1], [45, 44590694400000, 1, 3], [45, 891813888000000, 1, 5], [45, 1070176665600000, 1, 3], [45, 10701766656000000, 1, 1], [45, 17836277760000000, 1, 2], [45, 21403533312000000, 1, 2], [45, 25684239974400000, 1, 1], [48, 20901888000000, 1, 1], [48, 41803776000000, 1, 1], [48, 418037760000000, 1, 3], [48, 627056640000000, 1, 3], [48, 836075520000000, 1, 3], [48, 1254113280000000, 1, 3], [48, 2090188800000000, 1, 1], [48, 4180377600000000, 1, 3], [48, 4702924800000000, 1, 1], [48, 6270566400000000, 1, 3], [48, 8360755200000000, 1, 4], [48, 9405849600000000, 1, 1], [48, 12541132800000000, 1, 8], [48, 16721510400000000, 1, 1], [48, 18811699200000000, 1, 4], [48, 25082265600000000, 1, 2], [48, 37623398400000000, 1, 1], [48, 150493593600000000, 1, 2], [48, 300987187200000000, 1, 2], [60, 4838400, 1, 1], [60, 48384000, 1, 1], [60, 58060800, 1, 1], [60, 72576000, 1, 2], [60, 96768000, 1, 1], [60, 193536000, 1, 1], [60, 232243200, 1, 1], [60, 290304000, 1, 2], [60, 387072000, 1, 1], [60, 967680000, 1, 3], [60, 1290240000, 1, 2], [60, 1857945600, 1, 2], [60, 1935360000, 1, 7], [60, 2177280000, 1, 3], [60, 2322432000, 1, 3], [60, 2903040000, 1, 12], [60, 3483648000, 1, 4], [60, 3870720000, 1, 6], [60, 4354560000, 1, 4], [60, 4644864000, 1, 4], [60, 5573836800, 1, 1], [60, 5806080000, 1, 10], [60, 6967296000, 1, 3], [60, 7741440000, 1, 1], [60, 8709120000, 1, 2], [60, 9289728000, 1, 1], [60, 9676800000, 1, 3], [60, 11612160000, 1, 1], [60, 14515200000, 1, 4], [60, 19353600000, 1, 4], [60, 21772800000, 1, 3], [60, 23224320000, 1, 11], [60, 26127360000, 1, 1], [60, 29030400000, 1, 15], [60, 32659200000, 1, 4], [60, 33443020800, 1, 1], [60, 34836480000, 1, 9], [60, 38707200000, 1, 12], [60, 43545600000, 1, 14], [60, 46448640000, 1, 14], [60, 48384000000, 1, 1], [60, 52254720000, 1, 4], [60, 55738368000, 1, 3], [60, 58060800000, 1, 25], [60, 65318400000, 1, 5], [60, 69672960000, 1, 25], [60, 77414400000, 1, 13], [60, 83607552000, 1, 4], [60, 87091200000, 1, 21], [60, 92897280000, 1, 10], [60, 104509440000, 1, 6], [60, 111476736000, 1, 4], [60, 116121600000, 1, 19], [60, 130636800000, 1, 5], [60, 133772083200, 1, 1], [60, 139345920000, 1, 10], [60, 154828800000, 1, 2], [60, 167215104000, 1, 3], [60, 174182400000, 1, 8], [60, 185794560000, 1, 2], [60, 193536000000, 1, 7], [60, 209018880000, 1, 4], [60, 217728000000, 1, 3], [60, 222953472000, 1, 1], [60, 232243200000, 1, 8], [60, 244944000000, 1, 1], [60, 261273600000, 1, 3], [60, 278691840000, 1, 4], [60, 290304000000, 1, 10], [60, 348364800000, 1, 14], [60, 387072000000, 1, 10], [60, 418037760000, 1, 1], [60, 435456000000, 1, 15], [60, 464486400000, 1, 15], [60, 483840000000, 1, 1], [60, 522547200000, 1, 6], [60, 557383680000, 1, 9], [60, 580608000000, 1, 25], [60, 653184000000, 1, 10], [60, 668860416000, 1, 1], [60, 696729600000, 1, 44], [60, 725760000000, 1, 2], [60, 743178240000, 1, 2], [60, 774144000000, 1, 12], [60, 783820800000, 1, 4], [60, 836075520000, 1, 5], [60, 870912000000, 1, 27], [60, 928972800000, 1, 26], [60, 967680000000, 1, 1], [60, 979776000000, 1, 4], [60, 1003290624000, 1, 2], [60, 1045094400000, 1, 27], [60, 1114767360000, 1, 13], [60, 1161216000000, 1, 33], [60, 1254113280000, 1, 3], [60, 1290240000000, 1, 2], [60, 1306368000000, 1, 20], [60, 1337720832000, 1, 1], [60, 1393459200000, 1, 51], [60, 1548288000000, 1, 11], [60, 1567641600000, 1, 5], [60, 1605264998400, 1, 1], [60, 1672151040000, 1, 18], [60, 1741824000000, 1, 35], [60, 1857945600000, 1, 20], [60, 1959552000000, 1, 5], [60, 2090188800000, 1, 37], [60, 2177280000000, 1, 3], [60, 2229534720000, 1, 8], [60, 2322432000000, 1, 36], [60, 2449440000000, 1, 1], [60, 2508226560000, 1, 4], [60, 2612736000000, 1, 10], [60, 2675441664000, 1, 1], [60, 2786918400000, 1, 31], [60, 2903040000000, 1, 10], [60, 2939328000000, 1, 1], [60, 3096576000000, 1, 2], [60, 3135283200000, 1, 5], [60, 3265920000000, 1, 4], [60, 3344302080000, 1, 16], [60, 3483648000000, 1, 25], [60, 3674160000000, 1, 2], [60, 3715891200000, 1, 2], [60, 3870720000000, 1, 5], [60, 3919104000000, 1, 2], [60, 4013162496000, 1, 2], [60, 4180377600000, 1, 10], [60, 4354560000000, 1, 11], [60, 4459069440000, 1, 2], [60, 4644864000000, 1, 22], [60, 4898880000000, 1, 1], [60, 5016453120000, 1, 2], [60, 5225472000000, 1, 25], [60, 5350883328000, 1, 1], [60, 5573836800000, 1, 6], [60, 5806080000000, 1, 15], [60, 6270566400000, 1, 5], [60, 6421059993600, 1, 1], [60, 6531840000000, 1, 11], [60, 6688604160000, 1, 2], [60, 6967296000000, 1, 36], [60, 7431782400000, 1, 2], [60, 7524679680000, 1, 1], [60, 7741440000000, 1, 9], [60, 7838208000000, 1, 13], [60, 8360755200000, 1, 14], [60, 8709120000000, 1, 23], [60, 9289728000000, 1, 35], [60, 9797760000000, 1, 8], [60, 10032906240000, 1, 5], [60, 10321920000000, 1, 2], [60, 10450944000000, 1, 40], [60, 11147673600000, 1, 16], [60, 11612160000000, 1, 23], [60, 11757312000000, 1, 2], [60, 12541132800000, 1, 7], [60, 13063680000000, 1, 16], [60, 13377208320000, 1, 8], [60, 13934592000000, 1, 84], [60, 14696640000000, 1, 2], [60, 14863564800000, 1, 4], [60, 15049359360000, 1, 1], [60, 15482880000000, 1, 7], [60, 15676416000000, 1, 25], [60, 16052649984000, 1, 1], [60, 16721510400000, 1, 42], [60, 17418240000000, 1, 29], [60, 17836277760000, 1, 1], [60, 18579456000000, 1, 28], [60, 18811699200000, 1, 2], [60, 19595520000000, 1, 13], [60, 20065812480000, 1, 4], [60, 20901888000000, 1, 72], [60, 22295347200000, 1, 20], [60, 23224320000000, 1, 27], [60, 23514624000000, 1, 4], [60, 24078974976000, 1, 2], [60, 25082265600000, 1, 24], [60, 26127360000000, 1, 24], [60, 26754416640000, 1, 6], [60, 27869184000000, 1, 83], [60, 29393280000000, 1, 1], [60, 30098718720000, 1, 1], [60, 30965760000000, 1, 3], [60, 31352832000000, 1, 24], [60, 32105299968000, 1, 1], [60, 33443020800000, 1, 44], [60, 34836480000000, 1, 34], [60, 37158912000000, 1, 10], [60, 37623398400000, 1, 2], [60, 39191040000000, 1, 5], [60, 40131624960000, 1, 12], [60, 41803776000000, 1, 65], [60, 44590694400000, 1, 8], [60, 46448640000000, 1, 18], [60, 47029248000000, 1, 3], [60, 50164531200000, 1, 24], [60, 52254720000000, 1, 14], [60, 53508833280000, 1, 2], [60, 55738368000000, 1, 25], [60, 58786560000000, 1, 3], [60, 60197437440000, 1, 3], [60, 62705664000000, 1, 23], [60, 66886041600000, 1, 17], [60, 69672960000000, 1, 28], [60, 75246796800000, 1, 1], [60, 78382080000000, 1, 19], [60, 80263249920000, 1, 5], [60, 83607552000000, 1, 15], [60, 92897280000000, 1, 11], [60, 94058496000000, 1, 3], [60, 100329062400000, 1, 3], [60, 104509440000000, 1, 29], [60, 111476736000000, 1, 12], [60, 117573120000000, 1, 3], [60, 125411328000000, 1, 12], [60, 133772083200000, 1, 2], [60, 139345920000000, 1, 39], [60, 150493593600000, 1, 1], [60, 156764160000000, 1, 16], [60, 167215104000000, 1, 29], [60, 185794560000000, 1, 23], [60, 188116992000000, 1, 5], [60, 200658124800000, 1, 13], [60, 209018880000000, 1, 53], [60, 222953472000000, 1, 16], [60, 235146240000000, 1, 8], [60, 250822656000000, 1, 30], [60, 267544166400000, 1, 7], [60, 278691840000000, 1, 51], [60, 300987187200000, 1, 2], [60, 313528320000000, 1, 30], [60, 321052999680000, 1, 2], [60, 334430208000000, 1, 51], [60, 371589120000000, 1, 10], [60, 376233984000000, 1, 7], [60, 401316249600000, 1, 14], [60, 418037760000000, 1, 56], [60, 445906944000000, 1, 8], [60, 470292480000000, 1, 7], [60, 481579499520000, 1, 2], [60, 501645312000000, 1, 40], [60, 535088332800000, 1, 4], [60, 557383680000000, 1, 32], [60, 601974374400000, 1, 9], [60, 627056640000000, 1, 29], [60, 642105999360000, 1, 1], [60, 668860416000000, 1, 42], [60, 743178240000000, 1, 1], [60, 752467968000000, 1, 10], [60, 802632499200000, 1, 14], [60, 836075520000000, 1, 29], [60, 891813888000000, 1, 2], [60, 940584960000000, 1, 7], [60, 963158999040000, 1, 2], [60, 1003290624000000, 1, 20], [60, 1070176665600000, 1, 1], [60, 1114767360000000, 1, 4], [60, 1203948748800000, 1, 4], [60, 1254113280000000, 1, 9], [60, 1337720832000000, 1, 12], [60, 1504935936000000, 1, 5], [60, 1605264998400000, 1, 2], [60, 1672151040000000, 1, 4], [60, 1881169920000000, 1, 2], [60, 2006581248000000, 1, 14], [60, 2508226560000000, 1, 8], [60, 3009871872000000, 1, 4], [60, 3344302080000000, 1, 9], [60, 3762339840000000, 1, 4], [60, 4013162496000000, 1, 2], [60, 4815794995200000, 1, 4], [60, 5016453120000000, 1, 9], [60, 6019743744000000, 1, 2], [60, 6688604160000000, 1, 12], [60, 7524679680000000, 1, 2], [60, 8026324992000000, 1, 7], [60, 10032906240000000, 1, 22], [60, 12039487488000000, 1, 4], [60, 13377208320000000, 1, 10], [60, 15049359360000000, 1, 4], [60, 16052649984000000, 1, 9], [60, 19263179980800000, 1, 1], [60, 20065812480000000, 1, 10], [60, 24078974976000000, 1, 4], [60, 26754416640000000, 1, 2], [60, 30098718720000000, 1, 6], [60, 32105299968000000, 1, 3], [60, 40131624960000000, 1, 3], [60, 48157949952000000, 1, 2], [60, 120394874880000000, 1, 6], [60, 240789749760000000, 1, 2], [70, 206391214080000000, 2, 2], [72, 200658124800000000, 1, 2], [80, 501645312000000, 1, 3], [80, 1504935936000000, 1, 3], [80, 6019743744000000, 1, 1], [80, 7524679680000000, 1, 3], [80, 12039487488000000, 1, 1], [80, 18059231232000000, 1, 1], [80, 22574039040000000, 1, 3], [80, 36118462464000000, 1, 1], [84, 343985356800000000, 2, 2], [90, 445906944000000, 1, 6], [90, 668860416000000, 1, 6], [90, 891813888000000, 1, 5], [90, 4459069440000000, 1, 3], [90, 6688604160000000, 1, 6], [90, 8918138880000000, 1, 10], [90, 10032906240000000, 1, 3], [90, 10701766656000000, 1, 4], [90, 13377208320000000, 1, 10], [90, 16052649984000000, 1, 3], [90, 17836277760000000, 1, 6], [90, 21403533312000000, 1, 2], [90, 160526499840000000, 1, 2], [105, 275188285440000000, 2, 2], [120, 69672960000, 1, 3], [120, 139345920000, 1, 1], [120, 696729600000, 1, 3], [120, 836075520000, 1, 1], [120, 1045094400000, 1, 4], [120, 1393459200000, 1, 9], [120, 1672151040000, 1, 3], [120, 2090188800000, 1, 9], [120, 2786918400000, 1, 6], [120, 3344302080000, 1, 2], [120, 4180377600000, 1, 5], [120, 6967296000000, 1, 3], [120, 13934592000000, 1, 12], [120, 15676416000000, 1, 3], [120, 16721510400000, 1, 3], [120, 20901888000000, 1, 20], [120, 25082265600000, 1, 4], [120, 27869184000000, 1, 18], [120, 31352832000000, 1, 9], [120, 33443020800000, 1, 9], [120, 40131624960000, 1, 3], [120, 41803776000000, 1, 33], [120, 50164531200000, 1, 9], [120, 55738368000000, 1, 7], [120, 62705664000000, 1, 18], [120, 66886041600000, 1, 6], [120, 69672960000000, 1, 3], [120, 80263249920000, 1, 1], [120, 83607552000000, 1, 11], [120, 100329062400000, 1, 5], [120, 104509440000000, 1, 4], [120, 125411328000000, 1, 3], [120, 139345920000000, 1, 4], [120, 156764160000000, 1, 3], [120, 167215104000000, 1, 5], [120, 188116992000000, 1, 1], [120, 209018880000000, 1, 15], [120, 235146240000000, 1, 4], [120, 240789749760000, 1, 1], [120, 250822656000000, 1, 6], [120, 278691840000000, 1, 12], [120, 313528320000000, 1, 14], [120, 334430208000000, 1, 16], [120, 376233984000000, 1, 4], [120, 401316249600000, 1, 3], [120, 418037760000000, 1, 28], [120, 470292480000000, 1, 4], [120, 501645312000000, 1, 20], [120, 557383680000000, 1, 13], [120, 601974374400000, 1, 4], [120, 627056640000000, 1, 30], [120, 668860416000000, 1, 12], [120, 752467968000000, 1, 7], [120, 802632499200000, 1, 4], [120, 836075520000000, 1, 24], [120, 940584960000000, 1, 12], [120, 963158999040000, 1, 1], [120, 1003290624000000, 1, 22], [120, 1114767360000000, 1, 2], [120, 1203948748800000, 1, 3], [120, 1254113280000000, 1, 19], [120, 1337720832000000, 1, 2], [120, 1504935936000000, 1, 8], [120, 1605264998400000, 1, 1], [120, 1672151040000000, 1, 6], [120, 1881169920000000, 1, 6], [120, 2006581248000000, 1, 4], [120, 2407897497600000, 1, 1], [120, 2508226560000000, 1, 3], [120, 3009871872000000, 1, 3], [120, 3344302080000000, 1, 3], [120, 4013162496000000, 1, 2], [120, 5016453120000000, 1, 14], [120, 6019743744000000, 1, 3], [120, 6688604160000000, 1, 6], [120, 7524679680000000, 1, 9], [120, 8026324992000000, 1, 3], [120, 10032906240000000, 1, 15], [120, 12039487488000000, 1, 2], [120, 13377208320000000, 1, 3], [120, 15049359360000000, 1, 9], [120, 16052649984000000, 1, 1], [120, 20065812480000000, 1, 7], [120, 24078974976000000, 1, 3], [120, 30098718720000000, 1, 3], [180, 1337720832000000, 1, 6], [180, 13377208320000000, 1, 6], [180, 20065812480000000, 1, 6], [180, 26754416640000000, 1, 10], [180, 32105299968000000, 1, 3], [180, 40131624960000000, 1, 3], [240, 1003290624000000, 1, 3], [240, 10032906240000000, 1, 3], [240, 12039487488000000, 1, 1], [240, 15049359360000000, 1, 3], [240, 20065812480000000, 1, 3], [240, 24078974976000000, 1, 1], [240, 30098718720000000, 1, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 5040, 'exponents_of_order': [29, 9, 8, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 5, 7], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '28894769971200000000.a', 'hash': 7043944518673802008, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': 'A_5^8.C_2^4.C_2^6.\\PSL(2,7)', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '28894769971200000000.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'A5^8.C2^4.C2^6.PSL(2,7)', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 11921, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 12194, 'number_divisions': 12168, 'number_normal_subgroups': 9, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 28894769971200000000, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 253156464895], [3, 20521673099360], [4, 6623211087456000], [5, 152587890624], [6, 87129710856759200], [7, 1146617856000000], [8, 400422786785280000], [9, 9012894105600000], [10, 5322793555644480], [12, 1938555832148889600], [14, 407049338880000000], [15, 58782700864400640], [16, 1227693293568000000], [18, 644196188160000000], [20, 665363669612544000], [21, 504511856640000000], [24, 3578318689075200000], [28, 1719926784000000000], [30, 1174806604205740800], [35, 715489542144000000], [36, 1531021492224000000], [40, 935570736414720000], [42, 1605264998400000000], [45, 122669000294400000], [48, 1273510232064000000], [60, 3416100214251110400], [70, 825564856320000000], [72, 401316249600000000], [80, 168552824832000000], [84, 1375941427200000000], [90, 879551447040000000], [105, 1100753141760000000], [120, 1156771794124800000], [180, 692939390976000000], [240, 264868724736000000]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '2.1', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 2, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2', 'pc_rank': None, 'perfect': True, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 40, 'gens': [314039905051138173832988370292692701220013087353, 733263571517226770160456526122213144452765057921]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 250, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_5^8.C_2^4.C_2^6.\\PSL(2,7)', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}