Finite Group Databasebeta

← Group #14512110

Character table — Group #14512110

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1122223344666688881212121212121212121212121616161616161616202020202424242432323232323232323232323232323232606060608080808080808080
order125510102244101010102020202044442020202020202020336612121212224420202020151515153030303060606060606060602244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ5111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ6111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ711111111-1-11111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ811111111-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ911111111-1-11111-1-1-1-111-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1011111111-1-11111-1-1-1-111-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1111111111-1-11111-1-1-1-111-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ1211111111-1-11111-1-1-1-111-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ131-111-1-11-1i−i11-1-1ii−i−i1-1i−i1111-1-1-1-111-1-1i−ii−i1-1i−iii−i−i1111-1-1-1-1ii−i−iii−i−i1-1i−i1-11-1i−ii−i
χ141-111-1-11-1i−i11-1-1ii−i−i1-1i−i1111-1-1-1-111-1-1i−ii−i-11−iiii−i−i1111-1-1-1-1ii−i−iii−i−i-11−ii-11-11−ii−ii
χ151-111-1-11-1i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1−1−i32−1+i321+i321−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591-1i−iii−i−i−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591-1i−i−1−i321+i32−1+i321−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ161-111-1-11-1i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1−1−i32−1+i321+i321−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59-11−iiii−i−i−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59-11−ii1+i32−1−i321−i32−1+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ171-111-1-11-1i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1−1+i32−1−i321−i321+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431-1i−iii−i−i−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431-1i−i−1+i321−i32−1−i321+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ181-111-1-11-1i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1−1+i32−1−i321−i321+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43-11−iiii−i−i−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43-11−ii1−i32−1+i321+i32−1−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ191-111-1-11-1−ii11-1-1−i−iii1-1−ii1111-1-1-1-111-1-1−ii−ii1-1−ii−i−iii1111-1-1-1-1−i−iii−i−iii1-1−ii1-11-1−ii−ii
χ201-111-1-11-1−ii11-1-1−i−iii1-1−ii1111-1-1-1-111-1-1−ii−ii-11i−i−i−iii1111-1-1-1-1−i−iii−i−iii-11i−i-11-11i−ii−i
χ211-111-1-11-1−ii11-1-1−i−iii1-1−ii1111-1-1-1-1−1−i32−1+i321+i321−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591-1−ii−i−iii−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591-1−ii−1−i321+i32−1+i321−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ221-111-1-11-1−ii11-1-1−i−iii1-1−ii1111-1-1-1-1−1−i32−1+i321+i321−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59-11i−i−i−iii−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59-11i−i1+i32−1−i321−i32−1+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ231-111-1-11-1−ii11-1-1−i−iii1-1−ii1111-1-1-1-1−1+i32−1−i321−i321+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431-1−ii−i−iii−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431-1−ii−1+i321−i32−1−i321+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ241-111-1-11-1−ii11-1-1−i−iii1-1−ii1111-1-1-1-1−1+i32−1−i321−i321+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43-11i−i−i−iii−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43-11i−i1−i32−1+i321+i32−1−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ2522−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ2622−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38000000000000
χ2722−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58000000000000
χ2822−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-200001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000
χ2922−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300001+521−521+521−52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38000000000000
χ3022−1−52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521−521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300001+521−521+521−52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58000000000000
χ3122−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ3222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26000000000000
χ3322−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46000000000000
χ3422−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000
χ3522−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300001−521+521−521+52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26000000000000
χ3622−1+52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521+521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300001−521+521−521+52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46000000000000
χ372-2−1−52−1+521+521−522-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ472-22i−2i−1−52−1−52−1+52−1+521+521+521−521−5222-2-22i−2i2i−2i0000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+52−1−52−1+521+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000000000000
χ382-2−1−52−1+521+521−522-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ472-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−1−i3−1+i31+i31−i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38ζ19+ζ31ζ7+ζ43−ζ19−ζ31−ζ7−ζ43ζ11+ζ59ζ23+ζ47−ζ11−ζ59−ζ23−ζ47000000000000
χ392-2−1−52−1+521+521−522-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ472-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−1+i3−1−i31−i31+i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58ζ11+ζ59ζ23+ζ47−ζ11−ζ59−ζ23−ζ47ζ19+ζ31ζ7+ζ43−ζ19−ζ31−ζ7−ζ43000000000000
χ402-2−1−52−1+521+521−522-2−2i2i−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ472-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−2i2i−2i2i0000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+52−1−52−1+521+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000000000
χ412-2−1−52−1+521+521−522-2−2i2i−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ472-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52−1−i3−1+i31+i31−i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38ζ34+ζ46ζ22+ζ58ζ14+ζ26ζ2+ζ38−ζ19−ζ31−ζ7−ζ43ζ19+ζ31ζ7+ζ43−ζ11−ζ59−ζ23−ζ47ζ11+ζ59ζ23+ζ47000000000000
χ422-2−1−52−1+521+521−522-2−2i2i−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ472-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52−1+i3−1−i31−i31+i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58ζ14+ζ26ζ2+ζ38ζ34+ζ46ζ22+ζ58−ζ11−ζ59−ζ23−ζ47ζ11+ζ59ζ23+ζ47−ζ19−ζ31−ζ7−ζ43ζ19+ζ31ζ7+ζ43000000000000
χ432-2−1+52−1−521−521+522-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ592-22i−2i−1+52−1+52−1−52−1−521−521−521+521+5222-2-22i−2i2i−2i0000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−52−1+52−1−521−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000000000000
χ442-2−1+52−1−521−521+522-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ592-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1−i3−1+i31+i31−i3−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ7+ζ43ζ19+ζ31−ζ7−ζ43−ζ19−ζ31ζ23+ζ47ζ11+ζ59−ζ23−ζ47−ζ11−ζ59000000000000
χ452-2−1+52−1−521−521+522-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ592-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1+i3−1−i31−i31+i3−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ23+ζ47ζ11+ζ59−ζ23−ζ47−ζ11−ζ59ζ7+ζ43ζ19+ζ31−ζ7−ζ43−ζ19−ζ31000000000000
χ462-2−1+52−1−521−521+522-2−2i2i−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ592-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−2i2i−2i2i0000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−52−1+52−1−521−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000000000000
χ472-2−1+52−1−521−521+522-2−2i2i−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ592-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52−1−i3−1+i31+i31−i32ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26−ζ7−ζ43−ζ19−ζ31ζ7+ζ43ζ19+ζ31−ζ23−ζ47−ζ11−ζ59ζ23+ζ47ζ11+ζ59000000000000
χ482-2−1+52−1−521−521+522-2−2i2i−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ592-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52−1+i3−1−i31−i31+i32ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46−ζ23−ζ47−ζ11−ζ59ζ23+ζ47ζ11+ζ59−ζ7−ζ43−ζ19−ζ31ζ7+ζ43ζ19+ζ31000000000000
χ49333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000003333-1-1-1-10000000000000000-1-1-1-100000000
χ50333333333333333333-1-1-1-1-1-1-1-1-1-1-1-100000000-3-3-3-3-1-1-1-10000000000000000111100000000
χ5133333333-3-33333-3-3-3-3-1-111-1-1-1-1-1-1-1-10000000033-3-311110000000000000000-1-11100000000
χ5233333333-3-33333-3-3-3-3-1-111-1-1-1-1-1-1-1-100000000-3-3331111000000000000000011-1-100000000
χ533-333-3-33-33i−3i33-3-33i3i−3i−3i-11−ii-1-1-1-11111000000003-33i−3i−i−iii0000000000000000-11−ii00000000
χ543-333-3-33-33i−3i33-3-33i3i−3i−3i-11−ii-1-1-1-1111100000000-33−3i3i−i−iii00000000000000001-1i−i00000000
χ553-333-3-33-3−3i3i33-3-3−3i−3i3i3i-11i−i-1-1-1-11111000000003-3−3i3iii−i−i0000000000000000-11i−i00000000
χ563-333-3-33-3−3i3i33-3-3−3i−3i3i3i-11i−i-1-1-1-1111100000000-333i−3iii−i−i00000000000000001-1−ii00000000
χ5766−3−352−3+352−3−352−3+3526666−3−352−3+352−3−352−3+352−3−352−3+352−3−352−3+352-2-2-2-21+521+521−521−521+521+521−521−520000000000001+521−521+521−520000000000000000000000000000
χ5866−3−352−3+352−3−352−3+35266-6-6−3−352−3+352−3−352−3+3523+3523−3523+3523−352-2-2221+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+520000000000000000000000000000
χ5966−3+352−3−352−3+352−3−3526666−3+352−3−352−3+352−3−352−3+352−3−352−3+352−3−352-2-2-2-21−521−521+521+521−521−521+521+520000000000001−521+521−521+520000000000000000000000000000
χ6066−3+352−3−352−3+352−3−35266-6-6−3+352−3−352−3+352−3−3523−3523+3523−3523+352-2-2221−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−520000000000000000000000000000
χ616-6−3−352−3+3523+3523−3526-66i−6i−3−352−3+3523+3523−352−3ζ11−3ζ19−3ζ31−3ζ59−3ζ7−3ζ23−3ζ43−3ζ473ζ11+3ζ19+3ζ31+3ζ593ζ7+3ζ23+3ζ43+3ζ47-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000000000000000000000000000
χ626-6−3−352−3+3523+3523−3526-6−6i6i−3−352−3+3523+3523−3523ζ11+3ζ19+3ζ31+3ζ593ζ7+3ζ23+3ζ43+3ζ47−3ζ11−3ζ19−3ζ31−3ζ59−3ζ7−3ζ23−3ζ43−3ζ47-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000000000000000000000000000
χ636-6−3+352−3−3523−3523+3526-66i−6i−3+352−3−3523−3523+352−3ζ7−3ζ23−3ζ43−3ζ47−3ζ11−3ζ19−3ζ31−3ζ593ζ7+3ζ23+3ζ43+3ζ473ζ11+3ζ19+3ζ31+3ζ59-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000000000000000000000000000
χ646-6−3+352−3−3523−3523+3526-6−6i6i−3+352−3−3523−3523+3523ζ7+3ζ23+3ζ43+3ζ473ζ11+3ζ19+3ζ31+3ζ59−3ζ7−3ζ23−3ζ43−3ζ47−3ζ11−3ζ19−3ζ31−3ζ59-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000000000000000000000000000
χ65121212121212-4-400-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ661212−3−35−3+35−3−35−3+35-4-4001+51−51+51−500000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000
χ671212−3−35−3+35−3−35−3+35-4-4001+51−51+51−5000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000
χ681212−3+35−3−35−3+35−3−35-4-4001−51+51−51+5000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000
χ691212−3+35−3−35−3+35−3−35-4-4001−51+51−51+500000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000
χ7012-121212-12-12-4400-4-444000000000000000000000000000000000000000000000000000000000000
χ7112-12−3−35−3+353+353−35-44001+51−5−1−5−1+500000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000
χ7212-12−3−35−3+353+353−35-44001+51−5−1−5−1+5000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000
χ7312-12−3+35−3−353−353+35-44001−51+5−1+5−1−5000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000
χ7412-12−3+35−3−353−353+35-44001−51+5−1+5−1−500000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.