Finite Group Databasebeta

← Group #14514439

Character table — Group #14514439

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222222333366666666888810101212121212121212121212121212121212121212161616161616161630304040404060606060111122222222333366666666888810101212121212121212121212121212121212121212161616161616161630304040404060606060
order124455101020202020224410101010202020203612122424441010101020202020202020202020202015153030606060602466121224442244101010102020202022441010101020202020661212242444101010102020202020202020202020203030303060606060246612122444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ31111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ511-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-111-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-111-1
χ611-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-11-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-11-1-11
χ711-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1111-1-11
χ811-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-111-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-111-1
χ9222222222222222222222222-1-1-1-12200000000000000000000-1-1-1-1-1-1-1-122-1-1-1-10000222222222222222222222222-1-1-1-12200000000000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ10222222222222222222222222-1-1-1-1-2-200000000000000000000-1-1-1-1-1-1-1-1-2-211110000222222222222222222222222-1-1-1-1-2-200000000000000000000-1-1-1-1-1-1-1-1-2-211110000
χ112222−1−52−1+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+522222002222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5200000000002222−1−52−1+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+522222002222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+520000000000
χ122222−1−52−1+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+52222200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000002222−1−52−1+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+52222200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000
χ132222−1+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+52−1−52−1−522222002222−1+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+52−1−52−1+52−1+52−1−52−1−5200000000002222−1+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+52−1−52−1−522222002222−1+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+52−1−52−1+52−1+52−1−52−1−520000000000
χ142222−1+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+52−1−52−1−52222200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000002222−1+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+52−1−52−1−52222200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ1522-2-22222-2-2-2-222-2-22222-2-2-2-2-1-1112-200000000000000000000-1-1-1-111112-2-1-111000022-2-22222-2-2-2-222-2-22222-2-2-2-2-1-1112-200000000000000000000-1-1-1-111112-2-1-1110000
χ1622-2-22222-2-2-2-222-2-22222-2-2-2-2-1-111-2200000000000000000000-1-1-1-11111-2211-1-1000022-2-22222-2-2-2-222-2-22222-2-2-2-2-1-111-2200000000000000000000-1-1-1-11111-2211-1-10000
χ1722-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-2002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52000000000022-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-2002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−520000000000
χ1822-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−52000000000022-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−520000000000
χ1922-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-2002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52000000000022-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-2002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+520000000000
χ2022-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+52000000000022-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+520000000000
χ212-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i2-22i−2i000000000000000000000022-2-22i−2i2i−2i00000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i2-22i−2i000000000000000000000022-2-22i−2i2i−2i0000000000
χ222-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i-11−ii0000000000000000000000-1-111−ii−ii00−i3i33−300002-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i-11−ii0000000000000000000000-1-111−ii−ii00−i3i33−30000
χ232-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i-11−ii0000000000000000000000-1-111−ii−ii00i3−i3−3300002-22i−2i22-2-22i−2i2i−2i2-22i−2i2-22-22i−2i2i−2i-11−ii0000000000000000000000-1-111−ii−ii00i3−i3−330000
χ242-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000002-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000
χ252-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000002-22i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472-22i−2i000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000
χ262-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000002-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000
χ272-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000002-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592-22i−2i000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000
χ282-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i2-22-2−2i2i−2i2i2-2−2i2i000000000000000000000022-2-2−2i2i−2i2i00000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i2-22-2−2i2i−2i2i2-2−2i2i000000000000000000000022-2-2−2i2i−2i2i0000000000
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χ1206666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-21+521+521−521−521+521+521−521−52000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000-6-6-6-63+3523−3523+3523−3523+3523+3523−3523−3522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
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χ12366-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-2221+521+521−521−52−1−52−1−52−1+52−1+520000002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000-6-6663+3523−3523+3523−352−3−352−3−352−3+352−3+35222-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ12466-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-2221+521+521−521−52−1−52−1−52−1+52−1+52000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000-6-6663+3523−3523+3523−352−3−352−3−352−3+352−3+35222-2-2−1−52−1−52−1+52−1+521+521+521−521−520000002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ12566-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-2221−521−521+521+52−1+52−1+52−1−52−1−520000002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000-6-6663−3523+3523−3523+352−3+352−3+352−3−352−3−35222-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ12666-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-2221−521−521+521+52−1+52−1+52−1−52−1−52000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000-6-6663−3523+3523−3523+352−3+352−3+352−3−352−3−35222-2-2−1+52−1+52−1−52−1−521−521−521+521+520000002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ1276-66i−6i66-6-66i−6i6i−6i-22−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000000000000000-66−6i6i-6-666−6i6i−6i6i2-22i−2i2-22-22i−2i2i−2i00000000000000000000000000000000000000000000
χ1286-66i−6i−3−352−3+3523+3523−352−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47-22−2i2i1+52−1−521−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000-66−6i6i3+3523−352−3−352−3+3523ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ593ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ472-22i−2i−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000
χ1296-66i−6i−3−352−3+3523+3523−352−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47-22−2i2i1+52−1−521−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000-66−6i6i3+3523−352−3−352−3+3523ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ593ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ472-22i−2i−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000
χ1306-66i−6i−3+352−3−3523−3523+352−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59-22−2i2i1−52−1+521+52−1−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000-66−6i6i3−3523+352−3+352−3−3523ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ473ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ592-22i−2i−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000
χ1316-66i−6i−3+352−3−3523−3523+352−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59-22−2i2i1−52−1+521+52−1−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000-66−6i6i3−3523+352−3+352−3−3523ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ473ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ592-22i−2i−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000
χ1326-6−6i6i66-6-6−6i6i−6i6i-222i−2i-22-222i−2i2i−2i00000000000000000000000000000000000000000000-666i−6i-6-6666i−6i6i−6i2-2−2i2i2-22-2−2i2i−2i2i00000000000000000000000000000000000000000000
χ1336-6−6i6i−3−352−3+3523+3523−3523ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ593ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ47-222i−2i1+52−1−521−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000-666i−6i3+3523−352−3−352−3+352−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ472-2−2i2i−1−521+52−1+521−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000
χ1346-6−6i6i−3−352−3+3523+3523−3523ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ593ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ47-222i−2i1+52−1−521−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000-666i−6i3+3523−352−3−352−3+352−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ472-2−2i2i−1−521+52−1+521−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000
χ1356-6−6i6i−3+352−3−3523−3523+3523ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ473ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ59-222i−2i1−52−1+521+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000-666i−6i3−3523+352−3+352−3−352−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ592-2−2i2i−1+521−52−1−521+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000
χ1366-6−6i6i−3+352−3−3523−3523+3523ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ473ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ59-222i−2i1−52−1+521+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000-666i−6i3−3523+352−3+352−3−352−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ592-2−2i2i−1+521−52−1−521+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000

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