Finite Group Databasebeta

← Group #13181467

Character table — Group #13181467

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11222222222222222224444668888888888888888888888888888888888121212121212121218185454727272721122222222222222222444466888888888888888888888888888888888812121212121212121818545472727272
order12333346666121212121212121233662433333333666666661212121212121212121212121212121212126666121212124422121212122266664666612121212121212126666246666666666666666121212121212121212121212121212121212666612121212442212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i321111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32
χ41111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-11+i321+i321−i321−i321111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-11+i321+i321−i321−i32
χ51111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i321111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32
χ61111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-11−i321−i321+i321+i321111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-11−i321−i321+i321+i32
χ7111111-11111-1-1-1-1-1-1-1-11111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1111111-11111-1-1-1-1-1-1-1-11111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1
χ8111111-11111-1-1-1-1-1-1-1-11111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11111111-11111-1-1-1-1-1-1-1-11111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11
χ9111111-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−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+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-111111-11-1−1−i321+i32−1+i321−i32111111-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−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+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-111111-11-1−1−i321+i32−1+i321−i32
χ10111111-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−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+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-11-111+i32−1−i321−i32−1+i32111111-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−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+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-11-111+i32−1−i321−i32−1+i32
χ11111111-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+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−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-111111-11-1−1+i321−i32−1−i321+i32111111-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+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−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-111111-11-1−1+i321−i32−1−i321+i32
χ12111111-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+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−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-11-111−i32−1+i321+i32−1−i32111111-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+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−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-11-111−i32−1+i321+i32−1−i32
χ13222-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000222-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000
χ14222-1-1-122-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i322−1−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−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i322-1-1-12-1-1-100000000222-1-1-122-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i322−1−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−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i322-1-1-12-1-1-100000000
χ15222-1-1-122-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i322−1+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+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i322-1-1-12-1-1-100000000222-1-1-122-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i322−1+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+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i322-1-1-12-1-1-100000000
χ16222-1-1-1-22-1-1-1-2-21111112222-222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111-21112-1-1-100000000222-1-1-1-22-1-1-1-2-21111112222-222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111-21112-1-1-100000000
χ17222-1-1-1-22-1-1-1-2-2111111−1−i3−1+i3−1−i3−1+i3-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-21112-1-1-100000000222-1-1-1-22-1-1-1-2-2111111−1−i3−1+i3−1−i3−1+i3-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-21112-1-1-100000000
χ18222-1-1-1-22-1-1-1-2-2111111−1+i3−1−i3−1+i3−1−i3-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-21112-1-1-100000000222-1-1-1-22-1-1-1-2-2111111−1+i3−1−i3−1+i3−1−i3-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-21112-1-1-100000000
χ1922-12-1-12-12-1-1-1-122-1-1-1-1222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000022-12-1-12-12-1-1-1-122-1-1-1-1222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000
χ2022-12-1-12-12-1-1-1-122-1-1-1-1−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32-12-1-1-12-1-10000000022-12-1-12-12-1-1-1-122-1-1-1-1−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32-12-1-1-12-1-100000000
χ2122-12-1-12-12-1-1-1-122-1-1-1-1−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32-12-1-1-12-1-10000000022-12-1-12-12-1-1-1-122-1-1-1-1−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32-12-1-1-12-1-100000000
χ2222-12-1-1-2-12-1-111-2-211112222-22-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111111-2-211111-211-12-1-10000000022-12-1-1-2-12-1-111-2-211112222-22-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111111-2-211111-211-12-1-100000000
χ2322-12-1-1-2-12-1-111-2-21111−1−i3−1+i3−1−i3−1+i3-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321-211-12-1-10000000022-12-1-1-2-12-1-111-2-21111−1−i3−1+i3−1−i3−1+i3-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321-211-12-1-100000000
χ2422-12-1-1-2-12-1-111-2-21111−1+i3−1−i3−1+i3−1−i3-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321-211-12-1-10000000022-12-1-1-2-12-1-111-2-21111−1+i3−1−i3−1+i3−1−i3-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321-211-12-1-100000000
χ2522-1-12-12-1-12-1-1-1-1-122-1-1222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000022-1-12-12-1-12-1-1-1-1-122-1-1222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-100000000
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χ85111111-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−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+i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-11-111+i32−1−i321−i32−1+i32-1-1-1-1-1-11-1-1-1-1111111111+i321−i321+i321−i321-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−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+i321111-1-1-1-11-11-1−1−i321+i32−1+i321−i32
χ86111111-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+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−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-111111-11-1−1+i321−i32−1−i321+i32-1-1-1-1-1-11-1-1-1-1111111111−i321+i321−i321+i321-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+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−i321111-1-1-1-1-11-111−i32−1+i321+i32−1−i32
χ87111111-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+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−i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-11-111−i32−1+i321+i32−1−i32-1-1-1-1-1-11-1-1-1-1111111111−i321+i321−i321+i321-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+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−i321111-1-1-1-11-11-1−1+i321−i32−1−i321+i32
χ88222-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000-2-2-2111-2-2111-2-2111111-2-2-2-2-2-2-2111-2111-2111-2111-2-2-2-2111111-2-2111111-2111-211100000000
χ89222-1-1-122-1-1-122-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i322−1−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−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i322-1-1-12-1-1-100000000-2-2-2111-2-2111-2-21111111+i31−i31+i31−i3-2-21+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-2111-211100000000
χ90222-1-1-122-1-1-122-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i322−1+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+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i322-1-1-12-1-1-100000000-2-2-2111-2-2111-2-21111111−i31+i31−i31+i3-2-21−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-2111-211100000000
χ91222-1-1-1-22-1-1-1-2-21111112222-222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111-21112-1-1-100000000-2-2-21112-211122-1-1-1-1-1-1-2-2-2-22-2-2111-2111-2111-21112222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-211100000000
χ92222-1-1-1-22-1-1-1-2-2111111−1−i3−1+i3−1−i3−1+i3-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-21112-1-1-100000000-2-2-21112-211122-1-1-1-1-1-11+i31−i31+i31−i32-21+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−1−i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i322-1-1-1-211100000000
χ93222-1-1-1-22-1-1-1-2-2111111−1+i3−1−i3−1+i3−1−i3-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-21112-1-1-100000000-2-2-21112-211122-1-1-1-1-1-11−i31+i31−i31+i32-21−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−1+i3−1−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i322-1-1-1-211100000000
χ9422-12-1-12-12-1-1-1-122-1-1-1-1222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000-2-21-211-21-21111-2-21111-2-2-2-2-2-21-2111-2111-2111-211-2-211-2-2111111-2-211111-2111-21100000000
χ9522-12-1-12-12-1-1-1-122-1-1-1-1−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32-12-1-1-12-1-100000000-2-21-211-21-21111-2-211111+i31−i31+i31−i3-2-2−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321-2111-21100000000
χ9622-12-1-12-12-1-1-1-122-1-1-1-1−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32-12-1-1-12-1-100000000-2-21-211-21-21111-2-211111−i31+i31−i31+i3-2-2−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321-2111-21100000000
χ9722-12-1-1-2-12-1-111-2-211112222-22-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111111-2-211111-211-12-1-100000000-2-21-21121-211-1-122-1-1-1-1-2-2-2-22-21-2111-2111-2111-21122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-11-21100000000
χ9822-12-1-1-2-12-1-111-2-21111−1−i3−1+i3−1−i3−1+i3-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321-211-12-1-100000000-2-21-21121-211-1-122-1-1-1-11+i31−i31+i31−i32-2−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32-12-1-11-21100000000
χ9922-12-1-1-2-12-1-111-2-21111−1+i3−1−i3−1+i3−1−i3-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321-211-12-1-100000000-2-21-21121-211-1-122-1-1-1-11−i31+i31−i31+i32-2−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32-12-1-11-21100000000
χ10022-1-12-12-1-12-1-1-1-1-122-1-1222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-100000000-2-211-21-211-211111-2-211-2-2-2-2-2-211-2111-2111-2111-21-2-21111-2-2111111-2-21111-2111-2100000000
χ10122-1-12-12-1-12-1-1-1-1-122-1-1−1−i3−1+i3−1−i3−1+i3221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32-1-12-1-1-12-100000000-2-211-21-211-211111-2-2111+i31−i31+i31−i3-2-2−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i321+i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3211-2111-2100000000
χ10222-1-12-12-1-12-1-1-1-1-122-1-1−1+i3−1−i3−1+i3−1−i3221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32-1-12-1-1-12-100000000-2-211-21-211-211111-2-2111−i31+i31−i31+i3-2-2−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i321−i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3211-2111-2100000000
χ10322-1-12-1-2-1-12-11111-2-2112222-22-1-12-1-1-12-1-1-12-1-1-12-1-2-21111-2-2111111-2-21111-21-1-12-100000000-2-211-21211-21-1-1-1-122-1-1-2-2-2-22-211-2111-2111-2111-2122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-111-2100000000
χ10422-1-12-1-2-1-12-11111-2-211−1−i3−1+i3−1−i3−1+i3-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3211-21-1-12-100000000-2-211-21211-21-1-1-1-122-1-11+i31−i31+i31−i32-2−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1−i3−1+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32-1-12-111-2100000000
χ10522-1-12-1-2-1-12-11111-2-211−1+i3−1−i3−1+i3−1−i3-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3211-21-1-12-100000000-2-211-21211-21-1-1-1-122-1-11−i31+i31−i31+i32-2−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1+i3−1−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32-1-12-111-2100000000
χ10622-1-1-122-1-1-12-1-1-1-1-1-122222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1200000000-2-2111-2-2111-2111111-2-2-2-2-2-2-2-2111-2111-2111-2111-2-2-2111111-2-2111111-2-2111-2111-200000000
χ10722-1-1-122-1-1-12-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i3221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3-1-1-12-1-1-1200000000-2-2111-2-2111-2111111-2-21+i31−i31+i31−i3-2-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i31+i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3111-2111-200000000
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χ10922-1-1-12-2-1-1-12111111-2-22222-22-1-1-12-1-1-12-1-1-12-1-1-12-2-2111111-2-2111111-2-2111-2-1-1-1200000000-2-2111-22111-2-1-1-1-1-1-122-2-2-2-22-2111-2111-2111-2111-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12111-200000000
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χ1414-4-2-2-240222-4−2323−232323−23001+i31−i3−1−i3−1+i300−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i300−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000-44222-40-2-2-2423−2323−23−232300−1−i3−1+i31+i31−i3001+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000
χ1424-4-2-2-240222-4−2323−232323−23001−i31+i3−1+i3−1−i300−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i300ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000-44222-40-2-2-2423−2323−23−232300−1+i3−1−i31−i31+i3001−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000
χ143666-3-3-366-3-3-366-3-3-3-3-3-30000-2-20000000000000000000000000000000000-2111-211100000000-6-6-6333-6-6333-6-633333300002200000000000000000000000000000000002-1-1-12-1-1-100000000
χ144666-3-3-3-66-3-3-3-6-633333300002-200000000000000000000000000000000002-1-1-1-211100000000-6-6-63336-633366-3-3-3-3-3-30000-220000000000000000000000000000000000-21112-1-1-100000000
χ14566-36-3-36-36-3-3-3-366-3-3-3-30000-2-200000000000000000000000000000000001-2111-21100000000-6-63-633-63-63333-6-633330000220000000000000000000000000000000000-12-1-1-12-1-100000000
χ14666-36-3-3-6-36-3-333-6-6333300002-20000000000000000000000000000000000-12-1-11-21100000000-6-63-63363-633-3-366-3-3-3-30000-2200000000000000000000000000000000001-211-12-1-100000000
χ14766-3-36-36-3-36-3-3-3-3-366-3-30000-2-2000000000000000000000000000000000011-2111-2100000000-6-633-63-633-633333-6-6330000220000000000000000000000000000000000-1-12-1-1-12-100000000
χ14866-3-36-3-6-3-36-33333-6-63300002-20000000000000000000000000000000000-1-12-111-2100000000-6-633-63633-63-3-3-3-366-3-30000-22000000000000000000000000000000000011-21-1-12-100000000
χ14966-3-3-366-3-3-36-3-3-3-3-3-3660000-2-20000000000000000000000000000000000111-2111-200000000-6-6333-6-6333-6333333-6-60000220000000000000000000000000000000000-1-1-12-1-1-1200000000
χ15066-3-3-36-6-3-3-36333333-6-600002-20000000000000000000000000000000000-1-1-12111-200000000-6-6333-66333-6-3-3-3-3-3-3660000-220000000000000000000000000000000000111-2-1-1-1200000000

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