Finite Group Databasebeta

← Group #13181472

Character table — Group #13181472

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222222222244444444444444446666888888888888888888888899121212121212121212121212121212121616161616161616161616161616161616161616161616161818183636363654545454727272727272
order12333344466663366121212121212121212121212222433333333666666661212121212124466666666666612121212121212121212121212121212121212121212121212121212222121212122444666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−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+i32111111111111111111−1−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+i32111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−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+i32-1-11111111111111111−1−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+i32-1-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321−i321−i321−i32
χ51111111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+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−i32111111111111111111−1+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−i32111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ61111111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+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−i32-1-11111111111111111−1+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−i32-1-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321+i321+i321+i32
χ71111111-1-1111111111111-1-1-1-1-1-1-1-11-1-1111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-11-1-11-1-1
χ81111111-1-1111111111111-1-1-1-1-1-1-1-11-1-1111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111-111
χ91111111-1-11111−1−i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-11-1-11−1−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−i321+i321+i32−1+i321−i321−i32111111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321-1-1−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i321+i32−1+i321−i321−i32
χ101111111-1-11111−1−i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-11-1-11−1−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−i321+i321+i32−1+i321−i321−i32-1-11111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-1111+i321+i321−i321−i32-1-1111+i32−1−i32−1−i321−i32−1+i32−1+i32
χ111111111-1-11111−1+i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-11-1-11−1+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+i321−i321−i32−1−i321+i321+i32111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321-1-1−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i321−i32−1−i321+i321+i32
χ121111111-1-11111−1+i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-11-1-11−1+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+i321−i321−i32−1−i321+i321+i32-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-1111−i321−i321+i321+i32-1-1111−i32−1+i32−1+i321+i32−1−i32−1−i32
χ13111111-11-111111111-1-1-1-11111-1-1-1-1-11-111111111111111111-11-1-11-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111111-11-1-11-1-11-1
χ14111111-11-111111111-1-1-1-11111-1-1-1-1-11-111111111111111111-11-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11-111-111-11
χ15111111-11-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1-11-11−1−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+i321+i32−1−i321+i321−i32−1+i321−i3211-1-1-1-11111-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-11-1−1−i32−1−i32−1+i32−1+i321-11-11+i32−1−i321+i321−i32−1+i321−i32
χ16111111-11-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1-11-11−1−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+i321+i32−1−i321+i321−i32−1+i321−i32-1-1-1-1-1-11111-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-111+i321+i321−i321−i32-11-11−1−i321+i32−1−i32−1+i321−i32−1+i32
χ17111111-11-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1-11-11−1+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−i321−i32−1+i321−i321+i32−1−i321+i3211-1-1-1-11111-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-11-1−1+i32−1+i32−1−i32−1−i321-11-11−i32−1+i321−i321+i32−1−i321+i32
χ18111111-11-11111−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1-11-11−1+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−i321−i32−1+i321−i321+i32−1−i321+i32-1-1-1-1-1-11111-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-111−i321−i321+i321+i32-11-11−1+i321−i32−1+i32−1−i321+i32−1−i32
χ19111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-11-1-11-1-11
χ20111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111-111-1
χ21111111-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-111−1−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+i321+i321+i32−1−i321−i321−i32−1+i3211-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-11−1−i32−1−i32−1+i32−1+i321-1-111+i321+i32−1−i321−i321−i32−1+i32
χ22111111-1-111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-111−1−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+i321+i321+i32−1−i321−i321−i32−1+i32-1-1-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-11+i321+i321−i321−i32-111-1−1−i32−1−i321+i32−1+i32−1+i321−i32
χ23111111-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-111−1+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−i321−i321−i32−1+i321+i321+i32−1−i3211-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-11−1+i32−1+i32−1−i32−1−i321-1-111−i321−i32−1+i321+i321+i32−1−i32
χ24111111-1-111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-111−1+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−i321−i321−i32−1+i321+i321+i32−1−i32-1-1-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-11−i321−i321+i321+i32-111-1−1+i32−1+i321−i32−1−i32−1−i321+i32
χ25222-1-1-12222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-1222222002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000000
χ26222-1-1-12222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-12-1-1-12222−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3002-1-1-12-1-1-12-1-1-12-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i3200000000000000000
χ27222-1-1-12222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-12-1-1-12222−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3002-1-1-12-1-1-12-1-1-12-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i3200000000000000000
χ28222-1-1-12-2-22-1-1-122222-1-1-1-2111-21112-2-222-1-1-12-1-1-12-1-1-12-1-1-12-2-22-2-2002-1-1-1-2111-21112-1-1-12-1-1-1-2111-21112-1-1-1-2111-211100000000000000000
χ29222-1-1-12-2-22-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-1-2111-21112-2-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i31+i3−1+i31−i31−i3002-1-1-1-2111-21112-1-1-1−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i3200000000000000000
χ30222-1-1-12-2-22-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-1-2111-21112-2-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i31−i3−1−i31+i31+i3002-1-1-1-2111-21112-1-1-1−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i3200000000000000000
χ31222-1-1-1-22-22-1-1-12222-21112-1-1-1-2111-22-222-1-1-12-1-1-12-1-1-12-1-1-1-22-2-22-200-21112-1-1-1-21112-1-1-1-21112-1-1-1-2111-21112-1-1-1-211100000000000000000
χ32222-1-1-1-22-22-1-1-1−1−i3−1+i3−1−i3−1+i3-21112-1-1-1-2111-22-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i3−1−i31+i31−i3−1+i31−i300-21112-1-1-1-21112-1-1-11+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i3200000000000000000
χ33222-1-1-1-22-22-1-1-1−1+i3−1−i3−1+i3−1−i3-21112-1-1-1-2111-22-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i31−i31+i3−1−i31+i300-21112-1-1-1-21112-1-1-11−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i3200000000000000000
χ34222-1-1-1-2-222-1-1-12222-2111-21112-1-1-1-2-2222-1-1-12-1-1-12-1-1-12-1-1-1-2-22-2-2200-2111-21112-1-1-12-1-1-1-2111-21112-1-1-1-2111-21112-1-1-100000000000000000
χ35222-1-1-1-2-222-1-1-1−1−i3−1+i3−1−i3−1+i3-2111-21112-1-1-1-2-222−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31+i3−1−i31−i31−i3−1+i300-2111-21112-1-1-12-1-1-11+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i3200000000000000000
χ36222-1-1-1-2-222-1-1-1−1+i3−1−i3−1+i3−1−i3-2111-21112-1-1-1-2-222−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31−i3−1+i31+i31+i3−1−i300-2111-21112-1-1-12-1-1-11−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i3200000000000000000
χ3722-12-1-1222-12-1-12222-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-12-1-1-12-1-122222200-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000000000
χ3822-12-1-1222-12-1-1−1−i3−1+i3−1−i3−1+i3-12-1-1-12-1-1-12-1-122221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-12-1-1-12-1-1-12-1-1-12-1-11+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i3200000000000000000
χ3922-12-1-1222-12-1-1−1+i3−1−i3−1+i3−1−i3-12-1-1-12-1-1-12-1-122221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-12-1-1-12-1-1-12-1-1-12-1-11−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i3200000000000000000
χ4022-12-1-12-2-2-12-1-12222-12-1-11-2111-2112-2-22-12-1-1-12-1-1-12-1-1-12-1-12-2-22-2-200-12-1-11-2111-211-12-1-1-12-1-11-2111-211-12-1-11-2111-21100000000000000000
χ4122-12-1-12-2-2-12-1-1−1−i3−1+i3−1−i3−1+i3-12-1-11-2111-2112-2-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i31+i31+i3−1+i31−i31−i300-12-1-11-2111-211-12-1-11+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i3200000000000000000
χ4222-12-1-12-2-2-12-1-1−1+i3−1−i3−1+i3−1−i3-12-1-11-2111-2112-2-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i31−i31−i3−1−i31+i31+i300-12-1-11-2111-211-12-1-11−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i3200000000000000000
χ4322-12-1-1-22-2-12-1-122221-211-12-1-11-211-22-22-12-1-1-12-1-1-12-1-1-12-1-1-22-2-22-2001-211-12-1-11-211-12-1-11-211-12-1-11-2111-211-12-1-11-21100000000000000000
χ4422-12-1-1-22-2-12-1-1−1−i3−1+i3−1−i3−1+i31-211-12-1-11-211-22-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i3−1−i31+i31−i3−1+i31−i3001-211-12-1-11-211-12-1-1−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i3200000000000000000
χ4522-12-1-1-22-2-12-1-1−1+i3−1−i3−1+i3−1−i31-211-12-1-11-211-22-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i3−1+i31−i31+i3−1−i31+i3001-211-12-1-11-211-12-1-1−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i3200000000000000000
χ4622-12-1-1-2-22-12-1-122221-2111-211-12-1-1-2-222-12-1-1-12-1-1-12-1-1-12-1-1-2-22-2-22001-2111-211-12-1-1-12-1-11-2111-211-12-1-11-2111-211-12-1-100000000000000000
χ4722-12-1-1-2-22-12-1-1−1−i3−1+i3−1−i3−1+i31-2111-211-12-1-1-2-2221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31+i3−1−i31−i31−i3−1+i3001-2111-211-12-1-1-12-1-1−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i3200000000000000000
χ4822-12-1-1-2-22-12-1-1−1+i3−1−i3−1+i3−1−i31-2111-211-12-1-1-2-2221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31−i3−1+i31+i31+i3−1−i3001-2111-211-12-1-1-12-1-1−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i32−1−i31+i321+i3200000000000000000
χ4922-1-12-1222-1-12-12222-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-12-1-1-12-122222200-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100000000000000000
χ5022-1-12-1222-1-12-1−1−i3−1+i3−1−i3−1+i3-1-12-1-1-12-1-1-12-122221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-12-1-1-12-1-1-12-1-1-12-11+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i3200000000000000000
χ5122-1-12-1222-1-12-1−1+i3−1−i3−1+i3−1−i3-1-12-1-1-12-1-1-12-122221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-12-1-1-12-1-1-12-1-1-12-11−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i3200000000000000000
χ5222-1-12-12-2-2-1-12-12222-1-12-111-2111-212-2-22-1-12-1-1-12-1-1-12-1-1-12-12-2-22-2-200-1-12-111-2111-21-1-12-1-1-12-111-2111-21-1-12-111-2111-2100000000000000000
χ5322-1-12-12-2-2-1-12-1−1−i3−1+i3−1−i3−1+i3-1-12-111-2111-212-2-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i31+i31+i3−1+i31−i31−i300-1-12-111-2111-21-1-12-11+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i3200000000000000000
χ5422-1-12-12-2-2-1-12-1−1+i3−1−i3−1+i3−1−i3-1-12-111-2111-212-2-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i31−i31−i3−1−i31+i31+i300-1-12-111-2111-21-1-12-11−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i3200000000000000000
χ5522-1-12-1-22-2-1-12-1222211-21-1-12-111-21-22-22-1-12-1-1-12-1-1-12-1-1-12-1-22-2-22-20011-21-1-12-111-21-1-12-111-21-1-12-111-2111-21-1-12-111-2100000000000000000
χ5622-1-12-1-22-2-1-12-1−1−i3−1+i3−1−i3−1+i311-21-1-12-111-21-22-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i3−1−i31+i31−i3−1+i31−i30011-21-1-12-111-21-1-12-1−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i3200000000000000000
χ5722-1-12-1-22-2-1-12-1−1+i3−1−i3−1+i3−1−i311-21-1-12-111-21-22-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i3−1+i31−i31+i3−1−i31+i30011-21-1-12-111-21-1-12-1−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i32−1−i32−1−i321+i3−1−i3200000000000000000
χ5822-1-12-1-2-22-1-12-1222211-2111-21-1-12-1-2-222-1-12-1-1-12-1-1-12-1-1-12-1-2-22-2-220011-2111-21-1-12-1-1-12-111-2111-21-1-12-111-2111-21-1-12-100000000000000000
χ5922-1-12-1-2-22-1-12-1−1−i3−1+i3−1−i3−1+i311-2111-21-1-12-1-2-2221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31+i3−1−i31−i31−i3−1+i30011-2111-21-1-12-1-1-12-1−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i3200000000000000000
χ6022-1-12-1-2-22-1-12-1−1+i3−1−i3−1+i3−1−i311-2111-21-1-12-1-2-2221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31−i3−1+i31+i31+i3−1−i30011-2111-21-1-12-1-1-12-1−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i321−i321−i32−1+i31−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i321+i321+i32−1−i31+i3200000000000000000
χ6122-1-1-12222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-1222222200-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000000000
χ6222-1-1-12222-1-1-12−1−i3−1+i3−1−i3−1+i3-1-1-12-1-1-12-1-1-1222221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300-1-1-12-1-1-12-1-1-12-1-1-121+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i300000000000000000
χ6322-1-1-12222-1-1-12−1+i3−1−i3−1+i3−1−i3-1-1-12-1-1-12-1-1-1222221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300-1-1-12-1-1-12-1-1-12-1-1-121−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i300000000000000000
χ6422-1-1-122-2-2-1-1-122222-1-1-12111-2111-22-2-22-1-1-12-1-1-12-1-1-12-1-1-122-2-22-2-200-1-1-12111-2111-2-1-1-12-1-1-12111-2111-2-1-1-12111-2111-200000000000000000
χ6522-1-1-122-2-2-1-1-12−1−i3−1+i3−1−i3−1+i3-1-1-12111-2111-22-2-221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i31+i31+i3−1+i31−i31−i300-1-1-12111-2111-2-1-1-121+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i300000000000000000
χ6622-1-1-122-2-2-1-1-12−1+i3−1−i3−1+i3−1−i3-1-1-12111-2111-22-2-221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i31−i31−i3−1−i31+i31+i300-1-1-12111-2111-2-1-1-121−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i300000000000000000
χ6722-1-1-12-22-2-1-1-122222111-2-1-1-12111-2-22-22-1-1-12-1-1-12-1-1-12-1-1-12-22-2-22-200111-2-1-1-12111-2-1-1-12111-2-1-1-12111-2111-2-1-1-12111-200000000000000000
χ6822-1-1-12-22-2-1-1-12−1−i3−1+i3−1−i3−1+i3111-2-1-1-12111-2-22-221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i3−1−i31+i31−i3−1+i31−i300111-2-1-1-12111-2-1-1-12−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i300000000000000000
χ6922-1-1-12-22-2-1-1-12−1+i3−1−i3−1+i3−1−i3111-2-1-1-12111-2-22-221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i3−1+i31−i31+i3−1−i31+i300111-2-1-1-12111-2-1-1-12−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i3−1−i32−1−i32−1−i321+i300000000000000000
χ7022-1-1-12-2-22-1-1-122222111-2111-2-1-1-12-2-222-1-1-12-1-1-12-1-1-12-1-1-12-2-22-2-2200111-2111-2-1-1-12-1-1-12111-2111-2-1-1-12111-2111-2-1-1-1200000000000000000
χ7122-1-1-12-2-22-1-1-12−1−i3−1+i3−1−i3−1+i3111-2111-2-1-1-12-2-2221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31+i3−1−i31−i31−i3−1+i300111-2111-2-1-1-12-1-1-12−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i300000000000000000
χ7222-1-1-12-2-22-1-1-12−1+i3−1−i3−1+i3−1−i3111-2111-2-1-1-12-2-2221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31−i3−1+i31+i31+i3−1−i300111-2111-2-1-1-12-1-1-12−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i300000000000000000
χ7333333333333330000333333333333-1-1-1-1000000000000000000000033-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000003330000-1-1-1-1000000
χ7433333333333330000333333333333-1-1-1-10000000000000000000000-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-3-3-300001111000000
χ753333333-3-3333300003333-3-3-3-3-3-3-3-3-111-1000000000000000000000033-1-1-1-111111111-1-1-1-10000000000000000000000003-3-30000-1-111000000
χ763333333-3-3333300003333-3-3-3-3-3-3-3-3-111-10000000000000000000000-3-3-1-1-1-111111111-1-1-1-1000000000000000000000000-333000011-1-1000000
χ77333333-33-333330000-3-3-3-33333-3-3-3-31-11-10000000000000000000000331111-1-1-1-11111-1-1-1-1000000000000000000000000-33-30000-11-11000000
χ78333333-33-333330000-3-3-3-33333-3-3-3-31-11-10000000000000000000000-3-31111-1-1-1-11111-1-1-1-10000000000000000000000003-3300001-11-1000000
χ79333333-3-3333330000-3-3-3-3-3-3-3-3333311-1-100000000000000000000003311111111-1-1-1-1-1-1-1-1000000000000000000000000-3-330000-111-1000000
χ80333333-3-3333330000-3-3-3-3-3-3-3-3333311-1-10000000000000000000000-3-311111111-1-1-1-1-1-1-1-100000000000000000000000033-300001-1-11000000
χ814-44444000-4-4-4-4-2-2220000000000000000-2-2-2-2-2-2-2-2222222220000004i−4i00000000000000000000000000000000000000000002i−2i2i−2i0000000000
χ824-44444000-4-4-4-4-2-2220000000000000000-2-2-2-2-2-2-2-222222222000000−4i4i0000000000000000000000000000000000000000000−2i2i−2i2i0000000000
χ834-44444000-4-4-4-41+i31−i3−1−i3−1+i300000000000000001+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i30000004i−4i00000000000000000000000000000000000000000002ζ11−2ζ112ζ7−2ζ70000000000
χ844-44444000-4-4-4-41+i31−i3−1−i3−1+i300000000000000001+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3000000−4i4i0000000000000000000000000000000000000000000−2ζ112ζ11−2ζ72ζ70000000000
χ854-44444000-4-4-4-41−i31+i3−1+i3−1−i300000000000000001−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i30000004i−4i00000000000000000000000000000000000000000002ζ7−2ζ72ζ11−2ζ110000000000
χ864-44444000-4-4-4-41−i31+i3−1+i3−1−i300000000000000001−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3000000−4i4i0000000000000000000000000000000000000000000−2ζ72ζ7−2ζ112ζ110000000000
χ87666-3-3-36666-3-3-300006-3-3-36-3-3-36-3-3-3-2-2-2-2000000000000000000000000-2111-2111-2111-211100000000000000000000000000000000000000000
χ88666-3-3-36-6-66-3-3-300006-3-3-3-6333-6333-222-2000000000000000000000000-21112-1-1-12-1-1-1-211100000000000000000000000000000000000000000
χ89666-3-3-3-66-66-3-3-30000-63336-3-3-3-63332-22-20000000000000000000000002-1-1-1-21112-1-1-1-211100000000000000000000000000000000000000000
χ90666-3-3-3-6-666-3-3-30000-6333-63336-3-3-322-2-20000000000000000000000002-1-1-12-1-1-1-2111-211100000000000000000000000000000000000000000
χ9166-36-3-3666-36-3-30000-36-3-3-36-3-3-36-3-3-2-2-2-20000000000000000000000001-2111-2111-2111-21100000000000000000000000000000000000000000
χ9266-36-3-36-6-6-36-3-30000-36-3-33-6333-633-222-20000000000000000000000001-211-12-1-1-12-1-11-21100000000000000000000000000000000000000000
χ9366-36-3-3-66-6-36-3-300003-633-36-3-33-6332-22-2000000000000000000000000-12-1-11-211-12-1-11-21100000000000000000000000000000000000000000
χ9466-36-3-3-6-66-36-3-300003-6333-633-36-3-322-2-2000000000000000000000000-12-1-1-12-1-11-2111-21100000000000000000000000000000000000000000
χ9566-3-36-3666-3-36-30000-3-36-3-3-36-3-3-36-3-2-2-2-200000000000000000000000011-2111-2111-2111-2100000000000000000000000000000000000000000
χ9666-3-36-36-6-6-3-36-30000-3-36-333-6333-63-222-200000000000000000000000011-21-1-12-1-1-12-111-2100000000000000000000000000000000000000000
χ9766-3-36-3-66-6-3-36-3000033-63-3-36-333-632-22-2000000000000000000000000-1-12-111-21-1-12-111-2100000000000000000000000000000000000000000
χ9866-3-36-3-6-66-3-36-3000033-6333-63-3-36-322-2-2000000000000000000000000-1-12-1-1-12-111-2111-2100000000000000000000000000000000000000000
χ9966-3-3-36666-3-3-360000-3-3-36-3-3-36-3-3-36-2-2-2-2000000000000000000000000111-2111-2111-2111-200000000000000000000000000000000000000000
χ10066-3-3-366-6-6-3-3-360000-3-3-36333-6333-6-222-2000000000000000000000000111-2-1-1-12-1-1-12111-200000000000000000000000000000000000000000
χ10166-3-3-36-66-6-3-3-360000333-6-3-3-36333-62-22-2000000000000000000000000-1-1-12111-2-1-1-12111-200000000000000000000000000000000000000000
χ10266-3-3-36-6-66-3-3-360000333-6333-6-3-3-3622-2-2000000000000000000000000-1-1-12-1-1-12111-2111-200000000000000000000000000000000000000000
χ1038-88-4-4-4000-8444-4-4440000000000000000-4222-42224-2-2-24-2-2-200000000000000000000000000000000000000000000000000000000000000000
χ1048-88-4-4-4000-84442+2i32−2i3−2−2i3−2+2i300000000000000002+2i3−1−i3−1−i3−1−i32−2i3−1+i3−1+i3−1+i3−2−2i31+i31+i31+i3−2+2i31−i31−i31−i300000000000000000000000000000000000000000000000000000000000000000
χ1058-88-4-4-4000-84442−2i32+2i3−2+2i3−2−2i300000000000000002−2i3−1+i3−1+i3−1+i32+2i3−1−i3−1−i3−1−i3−2+2i31−i31−i31−i3−2−2i31+i31+i31+i300000000000000000000000000000000000000000000000000000000000000000
χ1068-8-48-4-40004-844-4-44400000000000000002-4222-422-24-2-2-24-2-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-48-4-40004-8442+2i32−2i3−2−2i3−2+2i30000000000000000−1−i32+2i3−1−i3−1−i3−1+i32−2i3−1+i3−1+i31+i3−2−2i31+i31+i31−i3−2+2i31−i31−i300000000000000000000000000000000000000000000000000000000000000000
χ1088-8-48-4-40004-8442−2i32+2i3−2+2i3−2−2i30000000000000000−1+i32−2i3−1+i3−1+i3−1−i32+2i3−1−i3−1−i31−i3−2+2i31−i31−i31+i3−2−2i31+i31+i300000000000000000000000000000000000000000000000000000000000000000
χ1098-8-4-48-400044-84-4-444000000000000000022-4222-42-2-24-2-2-24-200000000000000000000000000000000000000000000000000000000000000000
χ1108-8-4-48-400044-842+2i32−2i3−2−2i3−2+2i30000000000000000−1−i3−1−i32+2i3−1−i3−1+i3−1+i32−2i3−1+i31+i31+i3−2−2i31+i31−i31−i3−2+2i31−i300000000000000000000000000000000000000000000000000000000000000000
χ1118-8-4-48-400044-842−2i32+2i3−2+2i3−2−2i30000000000000000−1+i3−1+i32−2i3−1+i3−1−i3−1−i32+2i3−1−i31−i31−i3−2+2i31−i31+i31+i3−2−2i31+i300000000000000000000000000000000000000000000000000000000000000000
χ1128-8-4-4-48000444-8-4-4440000000000000000222-4222-4-2-2-24-2-2-2400000000000000000000000000000000000000000000000000000000000000000
χ1138-8-4-4-48000444-82+2i32−2i3−2−2i3−2+2i30000000000000000−1−i3−1−i3−1−i32+2i3−1+i3−1+i3−1+i32−2i31+i31+i31+i3−2−2i31−i31−i31−i3−2+2i300000000000000000000000000000000000000000000000000000000000000000
χ1148-8-4-4-48000444-82−2i32+2i3−2+2i3−2−2i30000000000000000−1+i3−1+i3−1+i32−2i3−1−i3−1−i3−1−i32+2i31−i31−i31−i3−2+2i31+i31+i31+i3−2−2i300000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.