Finite Group Databasebeta

← Group #11921273

Character table — Group #11921273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444446666666666668888888888888888888888888888888888888888121212121212121212122424242424242424242424242424242436363636
order12224444344446661212121212121212121212123366666612121212121212124444888888883366666612121212121212121212121212121212121212121212121212121212121212122466121212121212242424242424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111−1−i32−1+i32−1−i32−1−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−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1−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
χ41111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1
χ51111111111111111111111111111−1+i32−1−i32−1+i32−1+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+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1+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
χ61111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ9111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-1−1−i32−1+i32−1−i32−1−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+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1
χ10111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11111−1−i32−1+i32−1−i32−1−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+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111
χ11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-1−1+i32−1−i32−1+i32−1+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−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1
χ12111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-11111−1+i32−1−i32−1+i32−1+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−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-1-11−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111
χ131111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−i
χ141111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii
χ151111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+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+i321−i321−i321−i321−i321-11111-1-1-1-1ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7i−ii−i
χ161111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−i−iii−i−iii−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+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+i321−i321−i321−i321−i321-11111-1-1-1-1−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ii−ii
χ171111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−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−i321+i321+i321+i321+i321-11111-1-1-1-1ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11i−ii−i
χ181111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−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−i321+i321+i321+i321+i321-11111-1-1-1-1−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ii−ii
χ191111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ201111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ211111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1ii−i−i−i−iii−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32-11-1-111-1-111ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7i−i−ii
χ221111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−i−iiiii−i−i−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32-11-1-111-1-111−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−iii−i
χ231111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1ii−i−i−i−iii−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32-11-1-111-1-111ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11i−i−ii
χ241111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−i−iiiii−i−i−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32-11-1-111-1-111−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−iii−i
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222200000000-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222000000001+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3222-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222000000001−i321+i321−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3222-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222222222222222222200000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-211-1-1-1-11100000000000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222000000001+i321−i321+i321+i321+i321−i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-2-211-1-1-1-11100000000000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222000000001−i321+i321−i321−i321−i321+i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-2-211-1-1-1-11100000000000000000000
χ312222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122222222-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-111111111-1-1-1-111112-2-1-1-1-1111100000000000000000000
χ322222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i322-2-2000000001+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i322-2-1-1-1-1111100000000000000000000
χ332222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i322-2-2000000001−i321+i321−i321−i321−i321+i321+i321+i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i322-2-1-1-1-1111100000000000000000000
χ342222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122222222-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-111111111-1-1-1-1-2211-1-111-1-100000000000000000000
χ352222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i322-2-2000000001+i321−i321+i321+i321+i321−i321−i321−i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-2211-1-111-1-100000000000000000000
χ362222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i322-2-2000000001−i321+i321−i321−i321−i321+i321+i321+i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-2211-1-111-1-100000000000000000000
χ3722-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-111-111-111-1-111-1-100002-22-22i−2i2i−2i-1-111-111-1i−ii−ii−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i00000000001-11-1i−ii−i1-11-1i−ii−i0000
χ3822-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-111-111-111-1-111-1-10000-22-22−2i2i−2i2i-1-111-111-1i−ii−ii−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i0000000000-11-11−ii−ii-11-11−ii−ii0000
χ3922-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200002-22-22i−2i2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ70000000000−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ70000
χ4022-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000-22-22−2i2i−2i2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ700000000001+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000
χ4122-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3200002-22-22i−2i2i−2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ110000000000−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ110000
χ4222-2-222-2-222i−2i2i−2i2-2-222-2-22i2i−2i−2i2i2i−2i−2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i320000-22-22−2i2i−2i2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ1100000000001−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000
χ4322-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-111-111-111-1-111-1-100002-22-2−2i2i−2i2i-1-111-111-1−ii−ii−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii00000000001-11-1−ii−ii1-11-1−ii−ii0000
χ4422-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-111-111-111-1-111-1-10000-22-222i−2i2i−2i-1-111-111-1−ii−ii−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii0000000000-11-11i−ii−i-11-11i−ii−i0000
χ4522-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3200002-22-2−2i2i−2i2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ70000000000−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ70000
χ4622-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000-22-222i−2i2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ700000000001+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000
χ4722-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3200002-22-2−2i2i−2i2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ110000000000−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ110000
χ4822-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i−2i2i2i−2i−2i2i2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i320000-22-222i−2i2i−2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ1100000000001−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000
χ4922-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i-1-111-111-1-1-111-1-11100002i−2i−2i2i-222-2-1-111-111-1i−i−iii−i−ii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii0000000000i−i−ii-111-1i−i−ii-111-10000
χ5022-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i-1-111-111-1-1-111-1-1110000−2i2i2i−2i2-2-22-1-111-111-1i−i−iii−i−ii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii0000000000−iii−i1-1-11−iii−i1-1-110000
χ5122-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200002i−2i−2i2i-222-21+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ70000000000ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i320000
χ5222-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000−2i2i2i−2i2-2-221+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ70000000000−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i320000
χ5322-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3200002i−2i−2i2i-222-21−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ110000000000ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i320000
χ5422-2-2-2-22222i−2i−2i2i2-2-2-2-2222i2i−2i−2i−2i−2i2i2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000−2i2i2i−2i2-2-221−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ110000000000−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i320000
χ5522-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i−2i2i2i2i2i−2i−2i-1-111-111-1-1-111-1-11100002i−2i−2i2i2-2-22-1-111-111-1−iii−i−iii−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i0000000000i−i−ii1-1-11i−i−ii1-1-110000
χ5622-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i−2i2i2i2i2i−2i−2i-1-111-111-1-1-111-1-1110000−2i2i2i−2i-222-2-1-111-111-1−iii−i−iii−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i0000000000−iii−i-111-1−iii−i-111-10000
χ5722-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i−2i2i2i2i2i−2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3200002i−2i−2i2i2-2-221+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ70000000000ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i320000
χ5822-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i−2i2i2i2i2i−2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000−2i2i2i−2i-222-21+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ70000000000−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i320000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.