Finite Group Databasebeta

← Group #11923364

Character table — Group #11923364

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222444444446666666688888888888888888888121212121818181824242424242424241111222222222244444444666666668888888888888888888812121212181818182424242424242424
order122222366666663366666644444444336666666666666666661212121244441212121212121212222222666666666666666644444444666666666666666666661212121244441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−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+i321111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−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+i321111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+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−i321111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+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−i321111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ71111-1-1111-1-1-1-111111111111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1111-1-1-1-111111111111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-1
χ81111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-111
χ91111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ101111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ111111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ121111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1311-1-11-11-1-111-1-111111-1-1-1-11-11-1i−ii−i111-11-11-1-111-1-11-1-111-1-11-11-1i−ii−ii−ii−ii−ii−i11-1-11-11-1-111-1-111111-1-1-1-11-11-1i−ii−i111-11-11-1-111-1-11-1-111-1-11-11-1i−ii−ii−ii−ii−ii−i
χ1411-1-11-11-1-111-1-111111-1-1-1-11-11-1−ii−ii111-11-11-1-111-1-11-1-111-1-11-11-1−ii−ii−ii−ii−ii−ii11-1-11-11-1-111-1-111111-1-1-1-11-11-1−ii−ii111-11-11-1-111-1-11-1-111-1-11-11-1−ii−ii−ii−ii−ii−ii
χ1511-1-11-11-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1i−ii−i−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ711-1-11-11-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1i−ii−i−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ1611-1-11-11-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−ii−ii−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ711-1-11-11-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−ii−ii−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ1711-1-11-11-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1i−ii−i−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ1111-1-11-11-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1i−ii−i−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ1811-1-11-11-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−ii−ii−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ1111-1-11-11-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−ii−ii−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ1911-1-1-111-1-1-1-11111111-1-1-1-11-1-11i−i−ii11-11-111-1-1-1-1111-1-1-1-1111-1-11i−i−iii−i−iii−i−ii11-1-1-111-1-1-1-11111111-1-1-1-11-1-11i−i−ii11-11-111-1-1-1-1111-1-1-1-1111-1-11i−i−iii−i−iii−i−ii
χ2011-1-1-111-1-1-1-11111111-1-1-1-11-1-11−iii−i11-11-111-1-1-1-1111-1-1-1-1111-1-11−iii−i−iii−i−iii−i11-1-1-111-1-1-1-11111111-1-1-1-11-1-11−iii−i11-11-111-1-1-1-1111-1-1-1-1111-1-11−iii−i−iii−i−iii−i
χ2111-1-1-111-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11i−i−ii−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ711-1-1-111-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11i−i−ii−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ2211-1-1-111-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11−iii−i−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ711-1-1-111-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11−iii−i−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ2311-1-1-111-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11i−i−ii−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1111-1-1-111-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11i−i−ii−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ2411-1-1-111-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11−iii−i−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1111-1-1-111-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11−iii−i−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ25222222-1-1-1-1-1-1-1-12222222222220000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222222-1-1-1-1-1-1-1-12222222222220000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222200001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1000000000000222222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222200001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1000000000000
χ27222222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222200001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1000000000000222222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222200001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1000000000000
χ282222-2-2-1-1-11111-12222222222-2-20000-1-1-2-2-2-2-1-1-11111-1-1-11111-1-1110000000000002222-2-2-1-1-11111-12222222222-2-20000-1-1-2-2-2-2-1-1-11111-1-1-11111-1-111000000000000
χ292222-2-2-1-1-11111-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-200001+i321−i321+i31+i31−i31−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1110000000000002222-2-2-1-1-11111-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-200001+i321−i321+i31+i31−i31−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111000000000000
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χ7211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+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−i321111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-111111−i321+i321−i321−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ731111-1-1111-1-1-1-111111111111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11111-1-1-11111-1-111-1-111-1-111-1-111
χ741111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-11111-1-11111-1-111-1-111-1-1
χ751111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-11111-11+i321−i321+i321−i321+i321+i321−i321−i32-1-111-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ761111-1-1111-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-111-1-1-11111-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-11111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ771111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-11111-11−i321+i321−i321+i321−i321−i321+i321+i32-1-111-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ781111-1-1111-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-111-1-1-11111-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-11111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ7911-1-11-11-1-111-1-111111-1-1-1-11-11-1i−ii−i111-11-11-1-111-1-11-1-111-1-11-11-1i−ii−ii−ii−ii−ii−i-1-111-11-111-1-111-1-1-1-1-11111-11-11−ii−ii-1-1-11-11-111-1-111-111-1-111-11-11−ii−ii−ii−ii−ii−ii
χ8011-1-11-11-1-111-1-111111-1-1-1-11-11-1−ii−ii111-11-11-1-111-1-11-1-111-1-11-11-1−ii−ii−ii−ii−ii−ii-1-111-11-111-1-111-1-1-1-1-11111-11-11i−ii−i-1-1-11-11-111-1-111-111-1-111-11-11i−ii−ii−ii−ii−ii−i
χ8111-1-11-11-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1i−ii−i−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7-1-111-11-111-1-111-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-11-11−ii−ii1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-11−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7
χ8211-1-11-11-1-111-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−ii−ii−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1−ii−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7-1-111-11-111-1-111-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-11-11i−ii−i1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-11i−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
χ8311-1-11-11-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1i−ii−i−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11-1-111-11-111-1-111-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-11-11−ii−ii1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-11−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ8411-1-11-11-1-111-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−ii−ii−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11-1-111-11-111-1-111-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-11-11i−ii−i1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-11i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ8511-1-1-111-1-1-1-11111111-1-1-1-11-1-11i−i−ii11-11-111-1-1-1-1111-1-1-1-1111-1-11i−i−iii−i−iii−i−ii-1-1111-1-11111-1-1-1-1-1-1-11111-111-1−iii−i-1-11-11-1-11111-1-1-11111-1-1-111-1−iii−i−iii−i−iii−i
χ8611-1-1-111-1-1-1-11111111-1-1-1-11-1-11−iii−i11-11-111-1-1-1-1111-1-1-1-1111-1-11−iii−i−iii−i−iii−i-1-1111-1-11111-1-1-1-1-1-1-11111-111-1i−i−ii-1-11-11-1-11111-1-1-11111-1-1-111-1i−i−iii−i−iii−i−ii
χ8711-1-1-111-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11i−i−ii−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7-1-1111-1-11111-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-111-1−iii−i1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-111-1−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7
χ8811-1-1-111-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11−iii−i−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7-1-1111-1-11111-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-111-1i−i−ii1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-111-1i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7
χ8911-1-1-111-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11i−i−ii−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11-1-1111-1-11111-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-111-1−iii−i1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32-111-1−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11
χ9011-1-1-111-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11−iii−i−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11-1-1111-1-11111-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-111-1i−i−ii1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32-111-1i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11
χ91222222-1-1-1-1-1-1-1-12222222222220000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2000011-2-2-2-2111111111111111111000000000000
χ92222222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3222200001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1000000000000-2-2-2-2-2-2111111111+i31−i31+i31−i31+i31+i31−i31−i3-2-2-2-20000−1−i32−1+i321+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+i321111000000000000
χ93222222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222200001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1000000000000-2-2-2-2-2-2111111111−i31+i31−i31+i31−i31−i31+i31+i3-2-2-2-20000−1+i32−1−i321−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−i321111000000000000
χ942222-2-2-1-1-11111-12222222222-2-20000-1-1-2-2-2-2-1-1-11111-1-1-11111-1-111000000000000-2-2-2-222111-1-1-1-11-2-2-2-2-2-2-2-2-2-2220000112222111-1-1-1-1111-1-1-1-111-1-1000000000000
χ952222-2-2-1-1-11111-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-200001+i321−i321+i31+i31−i31−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111000000000000-2-2-2-222111-1-1-1-111+i31−i31+i31−i31+i31+i31−i31−i3-2-2220000−1−i32−1+i32−1−i3−1−i3−1+i3−1+i3−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1000000000000
χ962222-2-2-1-1-11111-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-200001−i321+i321−i31−i31+i31+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111000000000000-2-2-2-222111-1-1-1-111−i31+i31−i31+i31−i31−i31+i31+i3-2-2220000−1+i32−1−i32−1+i3−1+i3−1−i3−1−i3−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1000000000000
χ9722-2-22-2-111-1-111-12222-2-2-2-22-22-20000-1-12-22-2-111-1-111-111-1-111-11-11000000000000-2-222-221-1-111-1-11-2-2-2-22222-22-22000011-22-221-1-111-1-11-1-111-1-11-11-1000000000000
χ9822-2-22-2-111-1-111-1−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-22-200001+i321−i32−1−i31+i3−1+i31−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-11000000000000-2-222-221-1-111-1-111+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3-22-220000−1−i32−1+i321+i3−1−i31−i3−1+i3−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-1000000000000
χ9922-2-22-2-111-1-111-1−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-22-200001−i321+i32−1+i31−i3−1−i31+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-11000000000000-2-222-221-1-111-1-111−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3-22-220000−1+i32−1−i321−i3−1+i31+i3−1−i3−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-1000000000000
χ10022-2-2-22-11111-1-1-12222-2-2-2-22-2-220000-1-1-22-22-11111-1-1-11111-1-1-111-1000000000000-2-2222-21-1-1-1-1111-2-2-2-22222-222-20000112-22-21-1-1-1-1111-1-1-1-1111-1-11000000000000
χ10122-2-2-22-11111-1-1-1−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2-2200001+i321−i321+i3−1−i31−i3−1+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-111-1000000000000-2-2222-21-1-1-1-11111+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3-222-20000−1−i32−1+i32−1−i31+i3−1+i31−i3−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321-1-11000000000000
χ10222-2-2-22-11111-1-1-1−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2-2200001−i321+i321−i3−1+i31+i3−1−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32-111-1000000000000-2-2222-21-1-1-1-11111−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3-222-20000−1+i32−1−i32−1+i31−i3−1−i31+i3−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321-1-11000000000000
χ1033333333333333300000000-1-1-1-1333300000000000000000000-1-1-1-1-1-1-1-100000000-3-3-3-3-3-3-3-3-3-3-3-3-3-3000000001111-3-3-3-3000000000000000000001111111100000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.