Finite Group Databasebeta

← Group #11921267

Character table — Group #11921267

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444446666666666668888888888888888888888888888888888888888121212121212121212122424242424242424242424242424242436363636
order12222222344446666666121212121212121233666666666666664444444444443366666666666666121212121212121212121212121212121212121212121212441212121212121212121212121212121212121212121212124444
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
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
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−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−i321−i321−i321−i321−i321−i321−i32-1-11111-1-1-1-1−1−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−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−i321−i321−i321−i321−i321−i321−i32-1-11111-1-1-1-11+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+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+i321+i321+i321+i321+i321+i321+i32-1-11111-1-1-1-1−1+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+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+i321+i321+i321+i321+i321+i321+i32-1-11111-1-1-1-11−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
χ131-1-111-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i1111-1-111-1-1-1-11-11-111-1-111-1-1ii−i−i11111-1-1-1111-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ141-1-111-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i1111-1-111-1-1-1-11-11-111-1-1-1-111−i−iii11111-1-1-1111-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11−ii
χ151-1-111-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-111-1-1ii−i−i−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7i−i11-1-1ii−i−i−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71-1i−i
χ161-1-111-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-1-1-111−i−iii−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321−i32ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7i−i11-1-1ii−i−i1+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7-11−ii
χ171-1-111-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-111-1-1ii−i−i−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11i−i11-1-1ii−i−i−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111-1i−i
χ181-1-111-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-1-1-111−i−iii−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321+i32ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11i−i11-1-1ii−i−i1−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11-11−ii
χ191-1-111-11-11−i−iii11-1-1-11-1−i−i−i−iiiii1111-1-111-1-1-1-11-11-111-1-111-1-1−i−iii11111-1-1-1111-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ201-1-111-11-11−i−iii11-1-1-11-1−i−i−i−iiiii1111-1-111-1-1-1-11-11-111-1-1-1-111ii−i−i11111-1-1-1111-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11i−i
χ211-1-111-11-11−i−iii11-1-1-11-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-111-1-1−i−iii−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ii11-1-1−i−iii−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ71-1−ii
χ221-1-111-11-11−i−iii11-1-1-11-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-1-1-111ii−i−i−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321−i32−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ii11-1-1−i−iii1+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7-11i−i
χ231-1-111-11-11−i−iii11-1-1-11-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-111-1-1−i−iii−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ii11-1-1−i−iii−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ111-1−ii
χ241-1-111-11-11−i−iii11-1-1-11-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-1-1-111ii−i−i−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321+i32−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ii11-1-1−i−iii1−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11-11i−i
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000000000
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+i321−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−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−i321+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+i3222-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-1-1-1-1111100000000000000000000
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−i321−i321−i321−i321−i321−i321+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-2-2-1-1-1-1111100000000000000000000
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+i321+i321+i321+i321+i321+i321−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-2-2-1-1-1-1111100000000000000000000
χ312222-2-2-2-220000-2-222-22-200000000222-2222-222-2-2-2-2-2-22-22-200000000222-2-222-22-2-222-2-2-2000000000000000000000000002-22-2000000000000000000000000
χ322222-2-2-2-220000-2-222-22-200000000−1−i3−1+i3−1−i31+i3−1−i3−1−i3−1+i31−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i32-22-200000000−1−i3−1+i3−1−i31+i31+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i3−1+i31−i31+i31−i3000000000000000000000000002-22-2000000000000000000000000
χ332222-2-2-2-220000-2-222-22-200000000−1+i3−1−i3−1+i31−i3−1+i3−1+i3−1−i31+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i32-22-200000000−1+i3−1−i3−1+i31−i31−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i3−1−i31+i31−i31+i3000000000000000000000000002-22-2000000000000000000000000
χ342222-2-2-2-2-1000011-1-11-1133−3−333−3−3222-2222-222-2-2-2-2-2-22-22-200000000-1-1-111-1-11-111-1-11110000000033−3−333−3−333−3−333−3−300-11-113−33−300000000000000000000
χ352222-2-2-2-2-1000011-1-11-1133−3−333−3−3−1−i3−1+i3−1−i31+i3−1−i3−1−i3−1+i31−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i32-22-2000000001+i321−i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1+i32000000002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100-11-113−33−300000000000000000000
χ362222-2-2-2-2-1000011-1-11-1133−3−333−3−3−1+i3−1−i3−1+i31−i3−1+i3−1+i3−1−i31+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i32-22-2000000001−i321+i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1−i3200000000−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100-11-113−33−300000000000000000000
χ372222-2-2-2-2-1000011-1-11-11−3−333−3−333222-2222-222-2-2-2-2-2-22-22-200000000-1-1-111-1-11-111-1-111100000000−3−333−3−333−3−333−3−33300-11-11−33−3300000000000000000000
χ382222-2-2-2-2-1000011-1-11-11−3−333−3−333−1−i3−1+i3−1−i31+i3−1−i3−1−i3−1+i31−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i32-22-2000000001+i321−i321+i32−1−i32−1−i321+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1+i3200000000−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1100-11-11−33−3300000000000000000000
χ392222-2-2-2-2-1000011-1-11-11−3−333−3−333−1+i3−1−i3−1+i31−i3−1+i3−1+i3−1−i31+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i32-22-2000000001−i321+i321−i32−1+i32−1+i321−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1−i3200000000ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ1100-11-11−33−3300000000000000000000
χ4022-2-2-222-222i−2i2i−2i2-22-2-2-222i−2i2i−2i2i−2i2i−2i-1-11-11-11-11-1111-11-100002i−2i2i−2i2-22-2-1-111-11-1-111-11-1-111i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i0000000000i−ii−i1-11-1i−ii−i1-11-10000
χ4122-2-2-222-222i−2i2i−2i2-22-2-2-222i−2i2i−2i2i−2i2i−2i-1-11-11-11-11-1111-11-10000−2i2i−2i2i-22-22-1-111-11-1-111-11-1-111i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i0000000000−ii−ii-11-11−ii−ii-11-110000
χ4222-2-2-222-222i−2i2i−2i2-22-2-2-222i−2i2i−2i2i−2i2i−2i1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i3200002i−2i2i−2i2-22-21+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ70000000000ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i320000
χ4322-2-2-222-222i−2i2i−2i2-22-2-2-222i−2i2i−2i2i−2i2i−2i1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i320000−2i2i−2i2i-22-221+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1+i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ70000000000−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i320000
χ4422-2-2-222-222i−2i2i−2i2-22-2-2-222i−2i2i−2i2i−2i2i−2i1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i3200002i−2i2i−2i2-22-21−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ110000000000ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i320000
χ4522-2-2-222-222i−2i2i−2i2-22-2-2-222i−2i2i−2i2i−2i2i−2i1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i320000−2i2i−2i2i-22-221−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ110000000000−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i320000
χ4622-2-2-222-22−2i2i−2i2i2-22-2-2-22−2i2i−2i2i−2i2i−2i2i-1-11-11-11-11-1111-11-100002i−2i2i−2i-22-22-1-111-11-1-111-11-1-111−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii0000000000i−ii−i-11-11i−ii−i-11-110000
χ4722-2-2-222-22−2i2i−2i2i2-22-2-2-22−2i2i−2i2i−2i2i−2i2i-1-11-11-11-11-1111-11-10000−2i2i−2i2i2-22-2-1-111-11-1-111-11-1-111−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii0000000000−ii−ii1-11-1−ii−ii1-11-10000
χ4822-2-2-222-22−2i2i−2i2i2-22-2-2-22−2i2i−2i2i−2i2i−2i2i1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i3200002i−2i2i−2i-22-221+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ70000000000ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i320000
χ4922-2-2-222-22−2i2i−2i2i2-22-2-2-22−2i2i−2i2i−2i2i−2i2i1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i320000−2i2i−2i2i2-22-21+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1+i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ70000000000−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i320000
χ5022-2-2-222-22−2i2i−2i2i2-22-2-2-22−2i2i−2i2i−2i2i−2i2i1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i3200002i−2i2i−2i-22-221−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ110000000000ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i320000
χ5122-2-2-222-22−2i2i−2i2i2-22-2-2-22−2i2i−2i2i−2i2i−2i2i1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i320000−2i2i−2i2i2-22-21−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ110000000000−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i320000
χ522-22-2-2-22222-2-222-2-222-2-22-22-2-22-22-1-11-1-111-1-11-1-1111100002i−2i−2i2i−2i2i2i−2i-1-111-1-11111-1-111-1-11-1-111-1-111-11-1-11-111-11-1-11-110000000000i−i−ii−iii−ii−i−ii−iii−i0000
χ532-22-2-2-22222-2-222-2-222-2-22-22-2-22-22-1-11-1-111-1-11-1-111110000−2i2i2i−2i2i−2i−2i2i-1-111-1-11111-1-111-1-11-1-111-1-111-11-1-11-111-11-1-11-110000000000−iii−ii−i−ii−iii−ii−i−ii0000
χ542-22-2-2-22222-2-222-2-222-2-22-22-2-22-221+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i3200002i−2i−2i2i−2i2i2i−2i1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i320000000000ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ70000
χ552-22-2-2-22222-2-222-2-222-2-22-22-2-22-221+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i320000−2i2i2i−2i2i−2i−2i2i1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i320000000000−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ70000
χ562-22-2-2-22222-2-222-2-222-2-22-22-2-22-221−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i3200002i−2i−2i2i−2i2i2i−2i1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i320000000000ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ110000
χ572-22-2-2-22222-2-222-2-222-2-22-22-2-22-221−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i320000−2i2i2i−2i2i−2i−2i2i1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i320000000000−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ110000
χ582-22-2-2-2222-222-22-2-222-2-2-22-222-22-2-1-11-1-111-1-11-1-1111100002i−2i−2i2i2i−2i−2i2i-1-111-1-11111-1-111-1-1-111-1-111-1-11-111-11-1-11-111-11-10000000000i−i−iii−i−iii−i−iii−i−ii0000
χ592-22-2-2-2222-222-22-2-222-2-2-22-222-22-2-1-11-1-111-1-11-1-111110000−2i2i2i−2i−2i2i2i−2i-1-111-1-11111-1-111-1-1-111-1-111-1-11-111-11-1-11-111-11-10000000000−iii−i−iii−i−iii−i−iii−i0000
χ602-22-2-2-2222-222-22-2-222-2-2-22-222-22-21+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i3200002i−2i−2i2i2i−2i−2i2i1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i320000000000ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ70000
χ612-22-2-2-2222-222-22-2-222-2-2-22-222-22-21+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i320000−2i2i2i−2i−2i2i2i−2i1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i320000000000−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ70000
χ622-22-2-2-2222-222-22-2-222-2-2-22-222-22-21−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i3200002i−2i−2i2i2i−2i−2i2i1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i320000000000ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ110000
χ632-22-2-2-2222-222-22-2-222-2-2-22-222-22-21−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i320000−2i2i2i−2i−2i2i2i−2i1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i320000000000−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ110000
χ642-2-222-22-2-12i2i−2i−2i-1-1111-11−i−i−i−iiiii2222-2-222-2-2-2-22-22-222-2-200000000-1-1-1-1-1111-1-1-1111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii2i−2i-1-111−i−iii00000000000000000000
χ652-2-222-22-2-12i2i−2i−2i-1-1111-11−i−i−i−iiiii−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31−i3−1−i31+i3−1+i31−i322-2-2000000001+i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1+i322ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ72i−2i-1-111−i−iii00000000000000000000
χ662-2-222-22-2-12i2i−2i−2i-1-1111-11−i−i−i−iiiii−1+i3−1−i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31+i3−1+i31−i3−1−i31+i322-2-2000000001−i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1−i322ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ112i−2i-1-111−i−iii00000000000000000000
χ672-2-222-22-2-1−2i−2i2i2i-1-1111-11iiii−i−i−i−i2222-2-222-2-2-2-22-22-222-2-200000000-1-1-1-1-1111-1-1-111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i−2i2i-1-111ii−i−i00000000000000000000
χ682-2-222-22-2-1−2i−2i2i2i-1-1111-11iiii−i−i−i−i−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31−i3−1−i31+i3−1+i31−i322-2-2000000001+i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1+i32−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−2i2i-1-111ii−i−i00000000000000000000
χ692-2-222-22-2-1−2i−2i2i2i-1-1111-11iiii−i−i−i−i−1+i3−1−i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31+i3−1+i31−i3−1−i31+i322-2-2000000001−i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1−i32−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−2i2i-1-111ii−i−i00000000000000000000
χ702-2-22-22-2220000-2-2-2-222200000000222-2-2-22-2-2-222-22-222-2-2200000000222-2-2-2-222-2-2-2-2222000000000000000000000000002-2-22000000000000000000000000
χ712-2-22-22-2220000-2-2-2-222200000000−1−i3−1+i3−1−i31+i31+i31+i3−1+i31−i31−i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i32-2-2200000000−1−i3−1+i3−1−i31+i31+i31+i31+i3−1−i3−1+i31−i31−i31−i31−i3−1+i3−1−i3−1+i3000000000000000000000000002-2-22000000000000000000000000
χ722-2-22-22-2220000-2-2-2-222200000000−1+i3−1−i3−1+i31−i31−i31−i3−1−i31+i31+i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i32-2-2200000000−1+i3−1−i3−1+i31−i31−i31−i31−i3−1+i3−1−i31+i31+i31+i31+i3−1−i3−1+i3−1−i3000000000000000000000000002-2-22000000000000000000000000
χ732-2-22-22-22-100001111-1-1-1−i3−i3i3i3i3i3−i3−i3222-2-2-22-2-2-222-22-222-2-2200000000-1-1-11111-1-11111-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300-111-1−i3i3i3−i300000000000000000000
χ742-2-22-22-22-100001111-1-1-1−i3−i3i3i3i3i3−i3−i3−1−i3−1+i3−1−i31+i31+i31+i3−1+i31−i31−i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i32-2-22000000001+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i321−i3200000000−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i323+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i3200-111-1−i3i3i3−i300000000000000000000
χ752-2-22-22-22-100001111-1-1-1−i3−i3i3i3i3i3−i3−i3−1+i3−1−i3−1+i31−i31−i31−i3−1−i31+i31+i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i32-2-22000000001−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i321+i32000000003+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i32−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i3200-111-1−i3i3i3−i300000000000000000000
χ762-2-22-22-22-100001111-1-1-1i3i3−i3−i3−i3−i3i3i3222-2-2-22-2-2-222-22-222-2-2200000000-1-1-11111-1-11111-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300-111-1i3−i3−i3i300000000000000000000
χ772-2-22-22-22-100001111-1-1-1i3i3−i3−i3−i3−i3i3i3−1−i3−1+i3−1−i31+i31+i31+i3−1+i31−i31−i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i32-2-22000000001+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i321−i32000000003−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i32−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i3200-111-1i3−i3−i3i300000000000000000000
χ782-2-22-22-22-100001111-1-1-1i3i3−i3−i3−i3−i3i3i3−1+i3−1−i3−1+i31−i31−i31−i3−1−i31+i31+i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i32-2-22000000001−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i321+i3200000000−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i323−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i3200-111-1i3−i3−i3i300000000000000000000
χ7933333333333333333333333333330000000000000000-1-1-1-1333333330000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1
χ8033333333333333333333333333330000000000000000-1-1-1-1-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-100000000000000001111
χ81333333333-3-3-3-33333333-3-3-3-3-3-3-3-30000000000000000-1-1-1-13333-3-3-3-3000000000000000000000000000000000000000011-1-1-1-111110000000000000000-1-111
χ82333333333-3-3-3-33333333-3-3-3-3-3-3-3-30000000000000000-1-1-1-1-3-3-3-33333000000000000000000000000000000000000000011-1-1-1-11111000000000000000011-1-1
χ833-3-333-33-333i3i−3i−3i33-3-3-33-33i3i3i3i−3i−3i−3i−3i0000000000000000-1-11133-3-33i3i−3i−3i0000000000000000000000000000000000000000−ii-1-111−i−iii0000000000000000-11−ii
χ843-3-333-33-333i3i−3i−3i33-3-3-33-33i3i3i3i−3i−3i−3i−3i0000000000000000-1-111-3-333−3i−3i3i3i0000000000000000000000000000000000000000−ii-1-111−i−iii00000000000000001-1i−i
χ853-3-333-33-33−3i−3i3i3i33-3-3-33-3−3i−3i−3i−3i3i3i3i3i0000000000000000-1-11133-3-3−3i−3i3i3i0000000000000000000000000000000000000000i−i-1-111ii−i−i0000000000000000-11i−i
χ863-3-333-33-33−3i−3i3i3i33-3-3-33-3−3i−3i−3i−3i3i3i3i3i0000000000000000-1-111-3-3333i3i−3i−3i0000000000000000000000000000000000000000i−i-1-111ii−i−i00000000000000001-1−ii
χ8744-4-44-4-4440000-444-44-4-400000000-2-2222-2222-2-2-2-22-22000000000000-2-22-222-222-222-22-2-2000000000000000000000000000000000000000000000000000000
χ8844-4-44-4-4440000-444-44-4-4000000001+i31−i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31−i31+i3−1−i31−i3−1+i30000000000001+i31−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1+i31−i3−1+i3−1+i31−i3−1+i31+i31−i3000000000000000000000000000000000000000000000000000000
χ8944-4-44-4-4440000-444-44-4-4000000001−i31+i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31+i31−i3−1+i31+i3−1−i30000000000001−i31+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1−i31+i3−1−i3−1−i31+i3−1−i31−i31+i3000000000000000000000000000000000000000000000000000000
χ9044-4-44-4-44-200002-2-22-222−2i32i32i3−2i3−2i32i32i3−2i3-2-2222-2222-2-2-2-22-2200000000000011-11-1-11-1-11-1-11-11100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ9144-4-44-4-44-200002-2-22-222−2i32i32i3−2i3−2i32i32i3−2i31+i31−i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31−i31+i3−1−i31−i3−1+i3000000000000−1−i32−1+i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1+i3200000000−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i32000000000000000000000000000000
χ9244-4-44-4-44-200002-2-22-222−2i32i32i3−2i3−2i32i32i3−2i31−i31+i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31+i31−i3−1+i31+i3−1−i3000000000000−1+i32−1−i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1−i32000000003+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32000000000000000000000000000000
χ9344-4-44-4-44-200002-2-22-2222i3−2i3−2i32i32i3−2i3−2i32i3-2-2222-2222-2-2-2-22-2200000000000011-11-1-11-1-11-1-11-11100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ9444-4-44-4-44-200002-2-22-2222i3−2i3−2i32i32i3−2i3−2i32i31+i31−i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31−i31+i3−1−i31−i3−1+i3000000000000−1−i32−1+i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1+i32000000003−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32000000000000000000000000000000
χ9544-4-44-4-44-200002-2-22-2222i3−2i3−2i32i32i3−2i3−2i32i31−i31+i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31+i31−i3−1+i31+i3−1−i3000000000000−1+i32−1−i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1−i3200000000−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i32000000000000000000000000000000
χ9644-4-4-444-4-24i−4i4i−4i-22-2222-2−2i2i−2i2i−2i2i−2i2i-2-22-22-22-22-2222-22-200000000000011-1-11-111-1-11-111-1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii−ii−ii−ii−ii000000000000000000000000000000
χ9744-4-4-444-4-24i−4i4i−4i-22-2222-2−2i2i−2i2i−2i2i−2i2i1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i3000000000000−1−i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i321+i321−i322ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7000000000000000000000000000000
χ9844-4-4-444-4-24i−4i4i−4i-22-2222-2−2i2i−2i2i−2i2i−2i2i1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i3000000000000−1+i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i321−i321+i322ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11000000000000000000000000000000
χ9944-4-4-444-4-2−4i4i−4i4i-22-2222-22i−2i2i−2i2i−2i2i−2i-2-22-22-22-22-2222-22-200000000000011-1-11-111-1-11-111-1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−ii−ii−ii−ii−i000000000000000000000000000000
χ10044-4-4-444-4-2−4i4i−4i4i-22-2222-22i−2i2i−2i2i−2i2i−2i1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i3000000000000−1−i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i321+i321−i32−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7000000000000000000000000000000
χ10144-4-4-444-4-2−4i4i−4i4i-22-2222-22i−2i2i−2i2i−2i2i−2i1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i3000000000000−1+i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i321−i321+i32−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11000000000000000000000000000000
χ1024-44-444-4-440000-44-44-4-4400000000-2-222-2222-2222-2-2-2-2000000000000-2-22-22-22-22-22-22-222000000000000000000000000000000000000000000000000000000
χ1034-44-444-4-440000-44-44-4-44000000001+i31−i3−1−i3−1−i31+i3−1−i3−1+i3−1+i31−i3−1+i3−1−i3−1+i31+i31+i31−i31−i30000000000001+i31−i3−1−i31+i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1+i31−i3−1−i3−1+i3000000000000000000000000000000000000000000000000000000
χ1044-44-444-4-440000-44-44-4-44000000001−i31+i3−1+i3−1+i31−i3−1+i3−1−i3−1−i31+i3−1−i3−1+i3−1−i31−i31−i31+i31+i30000000000001−i31+i3−1+i31−i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1−i31+i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000
χ1054-44-444-4-4-200002-22-222-223−23−2323−232323−23-2-222-2222-2222-2-2-2-200000000000011-11-11-11-11-11-11-1-1000000003−3−33−333−33−3−33−333−3000000000000000000000000000000
χ1064-44-444-4-4-200002-22-222-223−23−2323−232323−231+i31−i3−1−i3−1−i31+i3−1−i3−1+i3−1+i31−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000000000−1−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i321−i32000000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ1074-44-444-4-4-200002-22-222-223−23−2323−232323−231−i31+i3−1+i3−1+i31−i3−1+i3−1−i3−1−i31+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000000000−1+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i321+i3200000000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ1084-44-444-4-4-200002-22-222-2−232323−2323−23−2323-2-222-2222-2222-2-2-2-200000000000011-11-11-11-11-11-11-1-100000000−333−33−3−33−333−33−3−33000000000000000000000000000000
χ1094-44-444-4-4-200002-22-222-2−232323−2323−23−23231+i31−i3−1−i3−1−i31+i3−1−i3−1+i3−1+i31−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000000000−1−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i321−i3200000000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1104-44-444-4-4-200002-22-222-2−232323−2323−23−23231−i31+i3−1+i3−1+i31−i3−1+i3−1−i3−1−i31+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000000000−1+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i321+i3200000000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ1114-44-4-4-444-24-4-44-222-2-222-22-222-22-2-2-22-2-222-2-22-2-2222200000000000011-1-111-1-1-1-111-1-1112-2-222-2-22-11-111-11-1-11-111-11-1000000000000000000000000000000
χ1124-44-4-4-444-24-4-44-222-2-222-22-222-22-21+i31−i3−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i3000000000000−1−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32000000000000000000000000000000
χ1134-44-4-4-444-24-4-44-222-2-222-22-222-22-21−i31+i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i3000000000000−1+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32000000000000000000000000000000
χ1144-44-4-4-444-2-444-4-222-2-2222-22-2-22-22-2-22-2-222-2-22-2-2222200000000000011-1-111-1-1-1-111-1-111-222-2-222-21-11-1-11-111-11-1-11-11000000000000000000000000000000
χ1154-44-4-4-444-2-444-4-222-2-2222-22-2-22-221+i31−i3−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i3000000000000−1−i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i3−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32000000000000000000000000000000
χ1164-44-4-4-444-2-444-4-222-2-2222-22-2-22-221−i31+i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i3000000000000−1+i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i3−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32000000000000000000000000000000
χ11766666666-36666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000000000000-2-2-2-2000000000000000000000000000000000000000000000000-2-21111111100000000000000000000
χ11866666666-3-6-6-6-6-3-3-3-3-3-3-3333333330000000000000000-2-2-2-2000000000000000000000000000000000000000000000000221111-1-1-1-100000000000000000000
χ1196666-6-6-6-660000-6-666-66-6000000000000000000000000-22-2200000000000000000000000000000000000000000000000000-22-22000000000000000000000000
χ1206666-6-6-6-6-3000033-3-33-333333−33−333333−33−330000000000000000-22-22000000000000000000000000000000000000000000000000001-11-1−33−3300000000000000000000
χ1216666-6-6-6-6-3000033-3-33-33−33−333333−33−3333330000000000000000-22-22000000000000000000000000000000000000000000000000001-11-13−33−300000000000000000000
χ1226-6-666-66-6-36i6i−6i−6i-3-3333-33−3i−3i−3i−3i3i3i3i3i0000000000000000-2-222000000000000000000000000000000000000000000000000−2i2i11-1-1ii−i−i00000000000000000000
χ1236-6-666-66-6-3−6i−6i6i6i-3-3333-333i3i3i3i−3i−3i−3i−3i0000000000000000-2-2220000000000000000000000000000000000000000000000002i−2i11-1-1−i−iii00000000000000000000
χ1246-6-66-66-6660000-6-6-6-6666000000000000000000000000-222-200000000000000000000000000000000000000000000000000-222-2000000000000000000000000
χ1256-6-66-66-66-300003333-3-3-3−3i3−3i33i33i33i33i3−3i3−3i30000000000000000-222-2000000000000000000000000000000000000000000000000001-1-11i3−i3−i3i300000000000000000000
χ1266-6-66-66-66-300003333-3-3-33i33i3−3i3−3i3−3i3−3i33i33i30000000000000000-222-2000000000000000000000000000000000000000000000000001-1-11−i3i3i3−i300000000000000000000

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