Finite Group Databasebeta

← Group #11754214

Character table — Group #11754214

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222244444444444444444444101010101010101010101010121212121212121212126060111122222222222222222244444444444444444444101010101010101010101010121212121212121212126060
order12223445566610101010101012121212151520202020303030303030606060606060606022446666121212124420202020202020202422226441010666101010101010121212123030202020203030303030306060606060606060224466661212121244202020202020202024
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-1-1111111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-1-11
χ611111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-111111-111111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-111111-1
χ711111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-11-111111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-11-1
χ811111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-11111-1111111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-11111-11
χ92222222−1−52−1+52222−1−52−1+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+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002222222−1−52−1+52222−1−52−1+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+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ102222222−1−52−1+52222−1−52−1+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+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-21+521+521−521−521+521+521−521−52002222222−1−52−1+52222−1−52−1+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+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-21+521+521−521−521+521+521−521−5200
χ112222222−1+52−1−52222−1+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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002222222−1+52−1−52222−1+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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ122222222−1+52−1−52222−1+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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-21−521−521+521+521−521−521+521+52002222222−1+52−1−52222−1+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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-21−521−521+521+521−521−521+521+5200
χ1322222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000000000002-2−1−52−1−52−1+52−1+521+521+521−521−520022222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000000000002-2−1−52−1−52−1+52−1+521+521+521−521−5200
χ1422222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520022222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000000000-221+521+521−521−52−1−52−1−52−1+52−1+5200
χ1522222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000000000002-2−1+52−1+52−1−52−1−521−521−521+521+520022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200
χ1622222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000000000-221−521−521+521+52−1+52−1+52−1−52−1−520022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000000000-221−521−521+521+52−1+52−1+52−1−52−1−5200
χ172222-12222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222-12222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ182222-12222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000002222-12222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ192222-1-2-222-1-1-12222221111-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-2-1-1-1-111110000000000002222-1-2-222-1-1-12222221111-1-1-2-2-2-2-1-1-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ202222-1-2-222-1-1-12222221111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2221111-1-1-1-10000000000002222-1-2-222-1-1-12222221111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ2122-2-222i−2i222-2-2-2-222-2-22i2i−2i−2i222i−2i2i−2i2-22-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000022-2-222i−2i222-2-2-2-222-2-22i2i−2i−2i222i−2i2i−2i2-22-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ2222-2-222i−2i−1−52−1+522-2-21+521−52−1−52−1+521+521−522i2i−2i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000−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−ζ470022-2-222i−2i−1−52−1+522-2-21+521−52−1−52−1+521+521−522i2i−2i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000−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−ζ4700
χ2322-2-222i−2i−1−52−1+522-2-21+521−52−1−52−1+521+521−522i2i−2i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000ζ14−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+ζ470022-2-222i−2i−1−52−1+522-2-21+521−52−1−52−1+521+521−522i2i−2i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000000000000ζ14−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+ζ4700
χ2422-2-222i−2i−1+52−1−522-2-21−521+52−1+52−1−521−521+522i2i−2i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000ζ2+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−ζ590022-2-222i−2i−1+52−1−522-2-21−521+52−1+52−1−521−521+522i2i−2i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000ζ2+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−ζ5900
χ2522-2-222i−2i−1+52−1−522-2-21−521+52−1+52−1−521−521+522i2i−2i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000−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+ζ590022-2-222i−2i−1+52−1−522-2-21−521+52−1+52−1−521−521+522i2i−2i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000−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+ζ5900
χ2622-2-22−2i2i222-2-2-2-222-2-2−2i−2i2i2i22−2i2i−2i2i2-22-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000022-2-22−2i2i222-2-2-2-222-2-2−2i−2i2i2i22−2i2i−2i2i2-22-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ2722-2-22−2i2i−1−52−1+522-2-21+521−52−1−52−1+521+521−52−2i−2i2i2i−1−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000000000000−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+ζ470022-2-22−2i2i−1−52−1+522-2-21+521−52−1−52−1+521+521−52−2i−2i2i2i−1−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000000000000−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+ζ4700
χ2822-2-22−2i2i−1−52−1+522-2-21+521−52−1−52−1+521+521−52−2i−2i2i2i−1−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000000000000ζ14−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−ζ470022-2-22−2i2i−1−52−1+522-2-21+521−52−1−52−1+521+521−52−2i−2i2i2i−1−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000000000000ζ14−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−ζ4700
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χ11744-4-4-24i−4i−1−5−1+5-2221+51−5−1−5−1+51+51−5−2i−2i2i2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+52−1−521−52−1+52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000000-4-4442−4i4i1+51−52-2-2−1−5−1+51+51−5−1−5−1+52i2i−2i−2i−1−52−1+522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000000
χ11844-4-4-24i−4i−1+5−1−5-2221−51+5−1+5−1−51−51+5−2i−2i2i2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−52−1+521+52−1−52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000000-4-4442−4i4i1−51+52-2-2−1+5−1−51−51+5−1+5−1−52i2i−2i−2i−1+52−1−522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000000
χ11944-4-4-2−4i4i−1−5−1+5-2221+51−5−1−5−1+51+51−52i2i−2i−2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+52−1−521−52−1+52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000000-4-44424i−4i1+51−52-2-2−1−5−1+51+51−5−1−5−1+5−2i−2i2i2i−1−52−1+52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000000
χ12044-4-4-2−4i4i−1+5−1−5-2221−51+5−1+5−1−51−51+52i2i−2i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−52−1+521+52−1−52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000000000000000-4-44424i−4i1−51+52-2-2−1+5−1−51−51+5−1+5−1−5−2i−2i2i2i−1+52−1−52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+521−52−1−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000000000
χ1214-44-4400−1−5−1+5-4-441+51−51+51−5−1−5−1+50000−1−5−1+500001+51+51−51−5−1−5−1+500000000000000000000000000000000-44-44-4001+51−544-4−1−5−1+5−1−5−1+51+51−500001+51−50000−1−5−1−5−1+5−1+51+51−500000000000000000000000000000000
χ1224-44-4400−1+5−1−5-4-441−51+51−51+5−1+5−1−50000−1+5−1−500001−51−51+51+5−1+5−1−500000000000000000000000000000000-44-44-4001−51+544-4−1+5−1−5−1+5−1−51−51+500001−51+50000−1+5−1+5−1−5−1−51−51+500000000000000000000000000000000
χ1234-44-4-200−1−5−1+522-21+51−51+51−5−1−5−1+5−2i32i3−2i32i31+521−520000−1−52−1−52−1+52−1+521+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000-44-442001+51−5-2-22−1−5−1+5−1−5−1+51+51−52i3−2i32i3−2i3−1−52−1+5200001+521+521−521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000
χ1244-44-4-200−1−5−1+522-21+51−51+51−5−1−5−1+52i3−2i32i3−2i31+521−520000−1−52−1−52−1+52−1+521+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000-44-442001+51−5-2-22−1−5−1+5−1−5−1+51+51−5−2i32i3−2i32i3−1−52−1+5200001+521+521−521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000
χ1254-44-4-200−1+5−1−522-21−51+51−51+5−1+5−1−5−2i32i3−2i32i31−521+520000−1+52−1+52−1−52−1−521−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000-44-442001−51+5-2-22−1+5−1−5−1+5−1−51−51+52i3−2i32i3−2i3−1+52−1−5200001−521−521+521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000
χ1264-44-4-200−1+5−1−522-21−51+51−51+5−1+5−1−52i3−2i32i3−2i31−521+520000−1+52−1+52−1−52−1−521−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000-44-442001−51+5-2-22−1+5−1−5−1+5−1−51−51+5−2i32i3−2i32i3−1+52−1−5200001−521−521+521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000
χ1274-4-44400−1−5−1+5-44-4−1−5−1+51+51−51+51−50000−1−5−1+500001+5−1−51−5−1+51+51−500000000000000000000000000000000-444-4-4001+51−54-441+51−5−1−5−1+5−1−5−1+500001+51−50000−1−51+5−1+51−5−1−5−1+500000000000000000000000000000000
χ1284-4-44400−1+5−1−5-44-4−1+5−1−51−51+51−51+50000−1+5−1−500001−5−1+51+5−1−51−51+500000000000000000000000000000000-444-4-4001−51+54-441−51+5−1+5−1−5−1+5−1−500001−51+50000−1+51−5−1−51+5−1+5−1−500000000000000000000000000000000
χ1294-4-44-200−1−5−1+52-22−1−5−1+51+51−51+51−523−23−23231+521−520000−1−521+52−1+521−52−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000-444-42001+51−5-22-21+51−5−1−5−1+5−1−5−1+5−232323−23−1−52−1+5200001+52−1−521−52−1+521+521−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000
χ1304-4-44-200−1−5−1+52-22−1−5−1+51+51−51+51−5−232323−231+521−520000−1−521+52−1+521−52−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000-444-42001+51−5-22-21+51−5−1−5−1+5−1−5−1+523−23−2323−1−52−1+5200001+52−1−521−52−1+521+521−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000
χ1314-4-44-200−1+5−1−52-22−1+5−1−51−51+51−51+523−23−23231−521+520000−1+521−52−1−521+52−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000-444-42001−51+5-22-21−51+5−1+5−1−5−1+5−1−5−232323−23−1+52−1−5200001−52−1+521+52−1−521−521+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000
χ1324-4-44-200−1+5−1−52-22−1+5−1−51−51+51−51+5−232323−231−521+520000−1+521−52−1−521+52−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000-444-42001−51+5-22-21−51+5−1+5−1−5−1+5−1−523−23−2323−1+52−1−5200001−52−1+521+52−1−521−521+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000

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