Finite Group Databasebeta

← Group #14298648

Character table — Group #14298648

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size1122222222222222222224444444444444444444444444444444444444444444444888888888888888888888888888888882020202020202020202020202020202020202020202020202424242424242424242424242424242424242424120120120120
order122222222355666101010101010444466666610101010101010101010101012121212121212121515303030303030303030303030303020202020202020203030303030303030606060606060606060606060606060602244444466661212121212121212121212124444202020202020202020202020202020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-11-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101111-1-11-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111111-1-11-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121111-1-11-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ141111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ151111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i
χ161111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ172222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+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+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+52−1+520000000000000000000000002222−1−52−1−52−1+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+520000
χ182222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+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+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+52−1+52000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ192222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ202222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ212222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000000000000000000000002222−1+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+52−1−52−1−520000
χ222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ232222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+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+521−521−521−521−521+521+521+521+5200000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ242222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+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+521−521−521−521−521+521+521+521+52000000000000000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ25222222222-122-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ26222222222-122-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ27222222222-122-1-1-1222222-2-2-2-2-1-1-1-1-1-122222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ28222222222-122-1-1-1222222-2-2-2-2-1-1-1-1-1-122222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ292222-2-22-2-22−1−52−1+52222−1−52−1+521+521+521−521−5222-2-222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000000000002i−2i2i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000
χ302222-2-22-2-22−1−52−1+52222−1−52−1+521+521+521−521−5222-2-222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000000000000000−2i2i−2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000
χ312222-2-22-2-22−1−52−1+52222−1−52−1+521+521+521−521−52-2-22222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52-2-2-2-22222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000002i−2i−2i2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000
χ322222-2-22-2-22−1−52−1+52222−1−52−1+521+521+521−521−52-2-22222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52-2-2-2-22222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000−2i2i2i−2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000
χ332222-2-22-2-22−1+52−1−52222−1+52−1−521−521−521+521+5222-2-222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000000000000000002i−2i2i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000
χ342222-2-22-2-22−1+52−1−52222−1+52−1−521−521−521+521+5222-2-222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000000000000000−2i2i−2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000
χ352222-2-22-2-22−1+52−1−52222−1+52−1−521−521−521+521+52-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52-2-2-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000002i−2i−2i2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000
χ362222-2-22-2-22−1+52−1−52222−1+52−1−521−521−521+521+52-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52-2-2-2-22222−1+52−1−52−1+52−1−521−521−521−521−521+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000−2i2i2i−2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000
χ372222-2-22-2-2-122-1-1-122-2-2-2-222-2-2-1-111112222-2-2-2-222-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222-2-22-2-2-122-1-1-122-2-2-2-222-2-2-1-111112222-2-2-2-222-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ392222-2-22-2-2-122-1-1-122-2-2-2-2-2-222-1-111112222-2-2-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ402222-2-22-2-2-122-1-1-122-2-2-2-2-2-222-1-111112222-2-2-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ41222-222-2-2-22222-2-222222200002-222-2-22-22-2-2-2-2-2-2-22200000000222222-2-222-2-2-2-2-2-2000000002-22-22-22-2000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
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χ43222-222-2-2-2-122-1112222220000-11-1-1112-22-2-2-2-2-2-2-22233−3−333−3−3-1-1-1-1-1-111-1-111111100000000-11-11-11-1133−3−333−3−333−3−333−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii000000000000000000000000
χ44222-222-2-2-2-122-1112222220000-11-1-1112-22-2-2-2-2-2-2-22233−3−333−3−3-1-1-1-1-1-111-1-111111100000000-11-11-11-1133−3−333−3−333−3−333−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i000000000000000000000000
χ45222-222-2-2-2-122-1112222220000-11-1-1112-22-2-2-2-2-2-2-222−3−333−3−333-1-1-1-1-1-111-1-111111100000000-11-11-11-11−3−333−3−333−3−333−3−33300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii000000000000000000000000
χ46222-222-2-2-2-122-1112222220000-11-1-1112-22-2-2-2-2-2-2-222−3−333−3−333-1-1-1-1-1-111-1-111111100000000-11-11-11-11−3−333−3−333−3−333−3−3330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i000000000000000000000000
χ47222-2-2-2-2222222-2-222-2-2-2-200002-2-2-2222-22-22222-2-2-2-2000000002222-2-222-2-222-2-2-2-2000000002-22-2-22-22000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
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χ50222-2-2-2-222-122-11122-2-2-2-20000-1111-1-12-22-22222-2-2-2-233−3−3−3−333-1-1-1-111-1-111-1-1111100000000-11-111-11-133−3−333−3−3−3−333−3−3330000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii000000000000000000000000
χ51222-2-2-2-222-122-11122-2-2-2-20000-1111-1-12-22-22222-2-2-2-2−3−33333−3−3-1-1-1-111-1-111-1-1111100000000-11-111-11-1−3−333−3−33333−3−333−3−300002i−2i−2i2ii3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000
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χ5322-222-2-22-22222-2-22222222i−2i2i−2i-222-22-2-22-222-22-2-2-2-2-22i−2i2i−2i2i−2i2i−2i222222-2-222-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i-22-22-22-222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ5422-222-2-22-22222-2-2222222−2i2i−2i2i-222-22-2-22-222-22-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i222222-2-222-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ5522-222-2-22-22−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+522i−2i2i−2i-222-22-21+52−1−521−52−1+52−1−521+52−1+521−521+521−521+521−522i−2i2i−2i2i−2i2i−2i−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+52−1−521−52−1+521+52−1−521−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−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−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000
χ5622-222-2-22-22−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+522i−2i2i−2i-222-22-21+52−1−521−52−1+52−1−521+52−1+521−521+521−521+521−522i−2i2i−2i2i−2i2i−2i−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+52−1−521−52−1+521+52−1−521−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−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+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
χ5722-222-2-22-22−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−2i2i−2i2i-222-22-21+52−1−521−52−1+52−1−521+52−1+521−521+521−521+521−52−2i2i−2i2i−2i2i−2i2i−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ471+52−1−521−52−1+521+52−1−521−52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−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+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.