Finite Group Databasebeta

← Group #10629580

Character table — Group #10629580

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111111111222222222222222222222222222222222222222222888888888888888888888888888888888888888888888888888888888888888888888888888888888888
order122233666666222222444444446666666666661212121212121212121212121212121222222244444466666666666688888888888888881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-1111111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ12111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-1111111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ13111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ14111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iiiii−i−i-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−i−i−iii-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ181111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−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
χ191111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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+i321+i321−i321+i321−i3211111111-1-1-1-1-1-1-1-11+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+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ201111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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+i321+i321−i321+i321−i32-1-1-1-1-1-1-1-1111111111+i321−i321+i321−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−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ211111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ221111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+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+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
χ231111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i321+i321−i321+i321−i321111-1-1-1-1-1-1-1-111111+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+i321+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
χ241111−1−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+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i321+i321−i321+i321−i32-1-1-1-111111111-1-1-1-11+i321−i321+i321−i32−1−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+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−i32
χ251111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-11-11-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32ii−i−iii−i−iii−i−iii−i−i−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7
χ261111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-11-11-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−i−iii−i−iii−i−iii−i−iii−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7
χ271111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-11-11-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i32ii−i−iii−i−i−i−iii−i−iii1+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7
χ281111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-11-11-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i32−i−iii−i−iiiii−i−iii−i−i1+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7
χ291111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111-11-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i32ii−i−i−i−iiiii−i−i−i−iii−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7
χ301111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111-11-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i32−i−iiiii−i−i−i−iiiii−i−i−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7
χ311111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-11-1111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i32ii−i−i−i−iii−i−iiiii−i−i1+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7
χ321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-11-1111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i32−i−iiiii−i−iii−i−i−i−iii1+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7
χ331111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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−i321111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ341111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+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
χ351111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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−i321−i321+i321−i321+i3211111111-1-1-1-1-1-1-1-11−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−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ361111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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−i321−i321+i321−i321+i32-1-1-1-1-1-1-1-1111111111−i321+i321−i321+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+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ371111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ381111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−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−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
χ391111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i321−i321+i321−i321+i321111-1-1-1-1-1-1-1-111111−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−i321−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
χ401111−1+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−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i321−i321+i321−i321+i32-1-1-1-111111111-1-1-1-11−i321+i321−i321+i32−1+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−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+i32
χ411111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-11-11-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32ii−i−iii−i−iii−i−iii−i−i−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11
χ421111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-11-11-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−i−iii−i−iii−i−iii−i−iii−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11
χ431111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-11-11-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i32ii−i−iii−i−i−i−iii−i−iii1−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11
χ441111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-11-11-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i32−i−iii−i−iiiii−i−iii−i−i1−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11
χ451111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111-11-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i32ii−i−i−i−iiiii−i−i−i−iii−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11
χ461111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111-11-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i32−i−iiiii−i−i−i−iiiii−i−i−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11
χ471111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-11-1111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i32ii−i−i−i−iii−i−iiiii−i−i1−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.