Finite Group Databasebeta

← Group #4429

Character table — Group #4429

Order 189.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size111333333777777111333333777777111333333777777
order1337721212121999999333212121212121999999333212121212121999999
χ1111111111111111111111111111111111111111111111
χ2111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41−1+i32−1−i3211−1+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+ζ621−1+i32−1−i3211−1+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+ζ621−1+i32−1−i3211−1+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
χ51−1+i32−1−i3211−1+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−ζ621−1+i32−1−i3211−1+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−ζ621−1+i32−1−i3211−1+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−ζ62
χ61−1+i32−1−i3211−1+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−ζ591−1+i32−1−i3211−1+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−ζ591−1+i32−1−i3211−1+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
χ71−1−i32−1+i3211−1−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−ζ581−1−i32−1+i3211−1−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−ζ581−1−i32−1+i3211−1−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
χ81−1−i32−1+i3211−1−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+ζ611−1−i32−1+i3211−1−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+ζ611−1−i32−1+i3211−1−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
χ91−1−i32−1+i3211−1−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−ζ611−1−i32−1+i3211−1−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−ζ611−1−i32−1+i3211−1−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−ζ61
χ10333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72000000333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72000000333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72000000
χ11333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72000000333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72000000333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72000000
χ123−3+3i32−3−3i32−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ600000003−3+3i32−3−3i32−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ600000003−3+3i32−3−3i32−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000
χ133−3+3i32−3−3i32−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ330000003−3+3i32−3−3i32−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ330000003−3+3i32−3−3i32−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000
χ143−3−3i32−3+3i32−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ570000003−3−3i32−3+3i32−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ570000003−3−3i32−3+3i32−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000
χ153−3−3i32−3+3i32−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ480000003−3−3i32−3+3i32−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ480000003−3−3i32−3+3i32−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000
χ16111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ17111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ18111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ191−1+i32−1−i3211−1+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+ζ62−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−1−i321−1+i32−1−i32−1−i3211−1+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+ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62
χ201−1+i32−1−i3211−1+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−ζ62−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−1−i321−1+i32−1−i32−1−i3211−1+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−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59
χ211−1+i32−1−i3211−1+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−ζ59−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−1−i321−1+i32−1−i32−1−i3211−1+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−ζ61−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62
χ221−1−i32−1+i3211−1−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−ζ58−1+i321−1−i32−1+i32−1+i3211−1−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−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61
χ231−1−i32−1+i3211−1−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+ζ61−1+i321−1−i32−1+i32−1+i3211−1−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−ζ59ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61
χ241−1−i32−1+i3211−1−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−ζ61−1+i321−1−i32−1+i32−1+i3211−1−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−ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58
χ25333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72000000−3+3i32−3+3i32−3+3i32ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000−3−3i32−3−3i32−3−3i32ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000
χ26333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72000000−3+3i32−3+3i32−3+3i32ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000−3−3i32−3−3i32−3−3i32ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000
χ273−3+3i32−3−3i32−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000−3+3i32−3−3i323ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72000000−3−3i323−3+3i32ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000
χ283−3+3i32−3−3i32−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000−3+3i32−3−3i323ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33−1+i72−1−i72000000−3−3i323−3+3i32ζ15+ζ51+ζ60ζ6+ζ24+ζ33−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000
χ293−3−3i32−3+3i32−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000−3+3i323−3−3i32ζ3+ζ12+ζ48ζ30+ζ39+ζ57−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000−3−3i32−3+3i323ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57−1−i72−1+i72000000
χ303−3−3i32−3+3i32−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000−3+3i323−3−3i32ζ30+ζ39+ζ57ζ3+ζ12+ζ48−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000−3−3i32−3+3i323ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48−1+i72−1−i72000000
χ31111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ33111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ341−1+i32−1−i3211−1+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+ζ62−1−i321−1+i32−1−i32−1−i3211−1+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+ζ61ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59
χ351−1+i32−1−i3211−1+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−ζ62−1−i321−1+i32−1−i32−1−i3211−1+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−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62
χ361−1+i32−1−i3211−1+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−ζ59−1−i321−1+i32−1−i32−1−i3211−1+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−ζ61−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62
χ371−1−i32−1+i3211−1−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−ζ58−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−1+i321−1−i32−1+i32−1+i3211−1−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−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61
χ381−1−i32−1+i3211−1−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+ζ61−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−1+i321−1−i32−1+i32−1+i3211−1−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−ζ59ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58
χ391−1−i32−1+i3211−1−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−ζ61−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−ζ8−ζ17−ζ26−ζ44−ζ53−ζ62−ζ5−ζ23−ζ32−ζ41−ζ50−ζ59ζ5+ζ8+ζ17+ζ23+ζ26+ζ32+ζ41+ζ44+ζ50+ζ53+ζ59+ζ62ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58−1+i321−1−i32−1+i32−1+i3211−1−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−ζ62−ζ16−ζ25−ζ34−ζ43−ζ52−ζ61−ζ4−ζ13−ζ22−ζ31−ζ40−ζ58ζ4+ζ13+ζ16+ζ22+ζ25+ζ31+ζ34+ζ40+ζ43+ζ52+ζ58+ζ61
χ40333−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72000000−3−3i32−3−3i32−3−3i32ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000−3+3i32−3+3i32−3+3i32ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000
χ41333−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72000000−3−3i32−3−3i32−3−3i32ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000−3+3i32−3+3i32−3+3i32ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000
χ423−3+3i32−3−3i32−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000−3−3i323−3+3i32ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000−3+3i32−3−3i323ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ15+ζ51+ζ60−1−i72−1+i72000000
χ433−3+3i32−3−3i32−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000−3−3i323−3+3i32ζ15+ζ51+ζ60ζ6+ζ24+ζ33−1+i72−1−i72ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000−3+3i32−3−3i323ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ6+ζ24+ζ33−1+i72−1−i72000000
χ443−3−3i32−3+3i32−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57000000−3−3i32−3+3i323ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ30+ζ39+ζ57−1−i72−1+i72000000−3+3i323−3−3i32ζ3+ζ12+ζ48ζ30+ζ39+ζ57−1−i72−1+i72ζ6+ζ24+ζ33ζ15+ζ51+ζ60000000
χ453−3−3i32−3+3i32−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48000000−3−3i32−3+3i323ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ3+ζ12+ζ48−1+i72−1−i72000000−3+3i323−3−3i32ζ30+ζ39+ζ57ζ3+ζ12+ζ48−1+i72−1−i72ζ15+ζ51+ζ60ζ6+ζ24+ζ33000000

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