Finite Group Databasebeta

← Group #92597

Character table — Group #92597

Order 504.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size111111333333333333666666666666666666666282828282828282828282828
order123366771414212121214242424241212282828282828848484848484848484848484999999181818181818
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62
χ511−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62
χ611−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59
χ711−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58
χ811−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61
χ911−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61
χ102-222-2-222-2-22222-2-2-2-2000000000000000000000-1-1-1-1-1-1111111
χ112-222-2-222-2-22222-2-2-2-20000000000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ122-222-2-222-2-22222-2-2-2-20000000000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ132-2−1+i3−1−i31−i31+i322-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000000000000000000ζ16+ζ25+ζ34+ζ43+ζ52+ζ61−ζ4−ζ13−ζ16−ζ22−ζ25−ζ31−ζ34−ζ40−ζ43−ζ52−ζ58−ζ61ζ4+ζ13+ζ22+ζ31+ζ40+ζ58ζ5+ζ23+ζ32+ζ41+ζ50+ζ59ζ8+ζ17+ζ26+ζ44+ζ53+ζ62−ζ5−ζ8−ζ17−ζ23−ζ26−ζ32−ζ41−ζ44−ζ50−ζ53−ζ59−ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62
χ142-2−1+i3−1−i31−i31+i322-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000000000000000000−ζ4−ζ13−ζ16−ζ22−ζ25−ζ31−ζ34−ζ40−ζ43−ζ52−ζ58−ζ61ζ4+ζ13+ζ22+ζ31+ζ40+ζ58ζ16+ζ25+ζ34+ζ43+ζ52+ζ61−ζ5−ζ8−ζ17−ζ23−ζ26−ζ32−ζ41−ζ44−ζ50−ζ53−ζ59−ζ62ζ5+ζ23+ζ32+ζ41+ζ50+ζ59ζ8+ζ17+ζ26+ζ44+ζ53+ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62
χ152-2−1+i3−1−i31−i31+i322-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000000000000000000ζ4+ζ13+ζ22+ζ31+ζ40+ζ58ζ16+ζ25+ζ34+ζ43+ζ52+ζ61−ζ4−ζ13−ζ16−ζ22−ζ25−ζ31−ζ34−ζ40−ζ43−ζ52−ζ58−ζ61ζ8+ζ17+ζ26+ζ44+ζ53+ζ62−ζ5−ζ8−ζ17−ζ23−ζ26−ζ32−ζ41−ζ44−ζ50−ζ53−ζ59−ζ62ζ5+ζ23+ζ32+ζ41+ζ50+ζ59−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59
χ162-2−1−i3−1+i31+i31−i322-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000000000000000000000ζ5+ζ23+ζ32+ζ41+ζ50+ζ59−ζ5−ζ8−ζ17−ζ23−ζ26−ζ32−ζ41−ζ44−ζ50−ζ53−ζ59−ζ62ζ8+ζ17+ζ26+ζ44+ζ53+ζ62−ζ4−ζ13−ζ16−ζ22−ζ25−ζ31−ζ34−ζ40−ζ43−ζ52−ζ58−ζ61ζ16+ζ25+ζ34+ζ43+ζ52+ζ61ζ4+ζ13+ζ22+ζ31+ζ40+ζ58−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58
χ172-2−1−i3−1+i31+i31−i322-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000000000000000000000ζ8+ζ17+ζ26+ζ44+ζ53+ζ62ζ5+ζ23+ζ32+ζ41+ζ50+ζ59−ζ5−ζ8−ζ17−ζ23−ζ26−ζ32−ζ41−ζ44−ζ50−ζ53−ζ59−ζ62ζ16+ζ25+ζ34+ζ43+ζ52+ζ61ζ4+ζ13+ζ22+ζ31+ζ40+ζ58−ζ4−ζ13−ζ16−ζ22−ζ25−ζ31−ζ34−ζ40−ζ43−ζ52−ζ58−ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61
χ182-2−1−i3−1+i31+i31−i322-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000000000000000000000−ζ5−ζ8−ζ17−ζ23−ζ26−ζ32−ζ41−ζ44−ζ50−ζ53−ζ59−ζ62ζ8+ζ17+ζ26+ζ44+ζ53+ζ62ζ5+ζ23+ζ32+ζ41+ζ50+ζ59ζ4+ζ13+ζ22+ζ31+ζ40+ζ58−ζ4−ζ13−ζ16−ζ22−ζ25−ζ31−ζ34−ζ40−ζ43−ζ52−ζ58−ζ61ζ16+ζ25+ζ34+ζ43+ζ52+ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61
χ19333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20333333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72333−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72000000000000
χ21333333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72-1-1-1ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60000000000000
χ22333333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72-1-1-1ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60000000000000
χ23333333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72-1-1-1−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60000000000000
χ24333333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72333−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72000000000000
χ25333333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72-1-1-1ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48000000000000
χ26333333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72-1-1-1ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48000000000000
χ27333333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72-1-1-1−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48000000000000
χ2833−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-11−i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000
χ2933−3+3i32−3−3i32−3+3i32−3−3i32−1−i72−1+i72−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ603−3+3i32−3−3i32−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60000000000000
χ3033−3+3i32−3−3i32−3+3i32−3−3i32−1−i72−1+i72−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60-11−i321+i32ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48ζ3−ζ12−ζ48ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ6−ζ24−ζ33−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60ζ15−ζ51−ζ60000000000000
χ3133−3+3i32−3−3i32−3+3i32−3−3i32−1−i72−1+i72−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60-11−i321+i32ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60−ζ3+ζ12−ζ48ζ3−ζ12−ζ48−ζ3−ζ12+ζ48−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ15+ζ51−ζ60000000000000
χ3233−3+3i32−3−3i32−3+3i32−3−3i32−1−i72−1+i72−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60-11−i321+i32−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60ζ3−ζ12−ζ48−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ6−ζ24+ζ33ζ15−ζ51−ζ60−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60000000000000
χ3333−3+3i32−3−3i32−3+3i32−3−3i32−1+i72−1−i72−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ333−3+3i32−3−3i32−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33000000000000
χ3433−3+3i32−3−3i32−3+3i32−3−3i32−1+i72−1−i72−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33-11−i321+i32ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ3−ζ12−ζ48−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ6−ζ24+ζ33000000000000
χ3533−3+3i32−3−3i32−3+3i32−3−3i32−1+i72−1−i72−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33-11−i321+i32ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48ζ3−ζ12−ζ48−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ15+ζ51−ζ60ζ6−ζ24−ζ33−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33000000000000
χ3633−3+3i32−3−3i32−3+3i32−3−3i32−1+i72−1−i72−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33-11−i321+i32−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ3+ζ12−ζ48ζ3−ζ12−ζ48−ζ3−ζ12+ζ48ζ15−ζ51−ζ60−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33ζ6−ζ24−ζ33000000000000
χ3733−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-11+i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000
χ3833−3−3i32−3+3i32−3−3i32−3+3i32−1−i72−1+i72−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ573−3−3i32−3+3i32−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57000000000000
χ3933−3−3i32−3+3i32−3−3i32−3+3i32−1−i72−1+i72−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57-11+i321−i32ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ6−ζ24−ζ33−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48ζ3−ζ12−ζ48ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57000000000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i32−1−i72−1+i72−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57-11+i321−i32ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ15+ζ51−ζ60−ζ3+ζ12−ζ48ζ3−ζ12−ζ48−ζ3−ζ12+ζ48−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ30−ζ39−ζ57000000000000
χ4133−3−3i32−3+3i32−3−3i32−3+3i32−1−i72−1+i72−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57-11+i321−i32−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ6−ζ24+ζ33ζ15−ζ51−ζ60−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60ζ3−ζ12−ζ48−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ30+ζ39−ζ57000000000000
χ4233−3−3i32−3+3i32−3−3i32−3+3i32−1+i72−1−i72−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ483−3−3i32−3+3i32−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48000000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i32−1+i72−1−i72−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48-11+i321−i32ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ6−ζ24+ζ33ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ3−ζ12−ζ48−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48000000000000
χ4433−3−3i32−3+3i32−3−3i32−3+3i32−1+i72−1−i72−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48-11+i321−i32ζ15+ζ30−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48−ζ15−ζ51+ζ60ζ15−ζ51−ζ60−ζ15+ζ51−ζ60ζ6−ζ24−ζ33−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33−ζ30+ζ39−ζ57−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ3−ζ12+ζ48−ζ3+ζ12−ζ48ζ3−ζ12−ζ48000000000000
χ4533−3−3i32−3+3i32−3−3i32−3+3i32−1+i72−1−i72−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48-11+i321−i32−ζ15+ζ30+ζ39+ζ51−ζ57+ζ60ζ15−ζ30+ζ39−ζ51+ζ57+ζ60ζ15+ζ30−ζ39+ζ51+ζ57−ζ60ζ3+ζ6−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24+ζ33+ζ48ζ3−ζ6+ζ12+ζ24+ζ33−ζ48ζ15−ζ51−ζ60−ζ15+ζ51−ζ60−ζ15−ζ51+ζ60−ζ6−ζ24+ζ33−ζ6+ζ24−ζ33ζ6−ζ24−ζ33−ζ30−ζ39+ζ57ζ30−ζ39−ζ57−ζ30+ζ39−ζ57−ζ3+ζ12−ζ48ζ3−ζ12−ζ48−ζ3−ζ12+ζ48000000000000
χ466-666-6-6−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7000000000000000000000000000000000
χ476-666-6-6−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7000000000000000000000000000000000
χ486-6−3+3i3−3−3i33−3i33+3i3−1−i7−1+i71+i71−i72ζ3+2ζ12+2ζ482ζ30+2ζ39+2ζ572ζ6+2ζ24+2ζ332ζ15+2ζ51+2ζ60−2ζ3−2ζ12−2ζ48−2ζ30−2ζ39−2ζ57−2ζ6−2ζ24−2ζ33−2ζ15−2ζ51−2ζ60000000000000000000000000000000000
χ496-6−3+3i3−3−3i33−3i33+3i3−1+i7−1−i71−i71+i72ζ30+2ζ39+2ζ572ζ3+2ζ12+2ζ482ζ15+2ζ51+2ζ602ζ6+2ζ24+2ζ33−2ζ30−2ζ39−2ζ57−2ζ3−2ζ12−2ζ48−2ζ15−2ζ51−2ζ60−2ζ6−2ζ24−2ζ33000000000000000000000000000000000
χ506-6−3−3i3−3+3i33+3i33−3i3−1−i7−1+i71+i71−i72ζ6+2ζ24+2ζ332ζ15+2ζ51+2ζ602ζ3+2ζ12+2ζ482ζ30+2ζ39+2ζ57−2ζ6−2ζ24−2ζ33−2ζ15−2ζ51−2ζ60−2ζ3−2ζ12−2ζ48−2ζ30−2ζ39−2ζ57000000000000000000000000000000000
χ516-6−3−3i3−3+3i33+3i33−3i3−1+i7−1−i71−i71+i72ζ15+2ζ51+2ζ602ζ6+2ζ24+2ζ332ζ30+2ζ39+2ζ572ζ3+2ζ12+2ζ48−2ζ15−2ζ51−2ζ60−2ζ6−2ζ24−2ζ33−2ζ30−2ζ39−2ζ57−2ζ3−2ζ12−2ζ48000000000000000000000000000000000

Here ζ is a primitive root of unity of order 63 (ζ63 = 1); i = ζ15.