Finite Group Databasebeta

← Group #72341860

Character table — Group #72341860

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111111112222444466666666888888881212121212121212121212121212121212121212121212121212121212121212121212121616161616161616161616161616161616161616323232323232323232323232323232323232323232323232484848484848484864646464646464646464646464646464
order122244442244224422224444222244442222222222222222224444444444444444443344446666661212121212121212666666666666121212121212121212121212444444446666121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111−1−i32−1+i32-1-1-1-1−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111−1+i32−1−i32-1-1-1-1−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ7111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ8111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32-1-1-1-1−1−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+i321111-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32
χ9111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32-1-1-1-1−1+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−i321111-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32
χ10111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i321111−1−i32−1−i32−1+i32−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32
χ12111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i321111−1+i32−1+i32−1−i32−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32
χ1311111111-1-1-1-11-11-1-1-11111-1-111-1-111-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-11-11-111-1-111-1-11-11-1
χ1411111111-1-1-1-11-11-1-1-11111-1-111-1-111-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1−1−i32−1+i3211-1-1−1−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+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32
χ1511111111-1-1-1-11-11-1-1-11111-1-111-1-111-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1−1+i32−1−i3211-1-1−1+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−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32
χ1611111111-1-1-1-11-11-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111-11-1-1-111-1-1111-11-1
χ1711111111-1-1-1-11-11-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1−1−i32−1+i32-1-111−1−i32−1−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+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-1-111-1-111−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i32
χ1811111111-1-1-1-11-11-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1−1+i32−1−i32-1-111−1+i32−1+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−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-1-111-1-111−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i32
χ1911111111-1-1-1-1-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-11-11-1-111-1-111-11-11
χ2011111111-1-1-1-1-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111−1−i32−1+i32-1-111−1−i32−1−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+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i3211-1-1-1-1111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i32−1−i321−i32−1+i32
χ2111111111-1-1-1-1-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111−1+i32−1−i32-1-111−1+i32−1+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−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i3211-1-1-1-1111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i32−1+i321+i32−1−i32
χ2211111111-1-1-1-1-11-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-11-1111-1-111-1-1-11-11
χ2311111111-1-1-1-1-11-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111−1−i32−1+i3211-1-1−1−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+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-1-11111-1-11+i32−1−i321−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i32
χ2411111111-1-1-1-1-11-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111−1+i32−1−i3211-1-1−1+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−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-1-11111-1-11−i32−1+i321+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i32−1+i321+i32−1−i32
χ251111-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1-1111-1-1111-11-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-1-11-11
χ261111-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1-1111-1-1−1−i32−1+i321-11-1−1−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+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i321−i32−1+i32
χ271111-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1-1111-1-1−1+i32−1−i321-11-1−1+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−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i321+i32−1−i32
χ281111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1-1111-1-111-11-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-11-11-111-11-1-11-11-11-11-11-11
χ291111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1-1111-1-1−1−i32−1+i32-11-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-11-11-11−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321−i32−1+i32
χ301111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-111-1-1-111-1-111-1-111-1-1-1111-1-1−1+i32−1−i32-11-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-11-11-11−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321+i32−1−i32
χ311111-1-1-1-111-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-111111-1-111-1-1-1-1111-1-1-11111-11-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-11-11-11-11-11-111-11-1
χ321111-1-1-1-111-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-111111-1-111-1-1-1-1111-1-1-111−1−i32−1+i32-11-11−1−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+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-11-1-11-111+i32−1−i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i32
χ331111-1-1-1-111-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-111111-1-111-1-1-1-1111-1-1-111−1+i32−1−i32-11-11−1+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−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-11-1-11-111−i32−1+i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i32
χ341111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-111111-1-111-1-1-1-1111-1-1-111111-11-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-111-11-1-11-111-11-11-11-11-11-1
χ351111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-111111-1-111-1-1-1-1111-1-1-111−1−i32−1+i321-11-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-111-11-11+i32−1−i321−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1+i321−i32
χ361111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-111111-1-111-1-1-1-1111-1-1-111−1+i32−1−i321-11-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-111-11-11−i32−1+i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1−i321+i32
χ371111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111-1-111-1-1111111-1-111-1-11-1-1-1-1
χ381111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−1−i32−1+i321-1-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321-1-111-1-11−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321+i321−i321−i32
χ391111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−1+i32−1−i321-1-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321-1-111-1-11−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321−i321+i321+i32
χ401111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-111-1-111-11111-111-1-111-1-1-1-1-1
χ411111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−1−i32−1+i32-111-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-111-1-111-1−1−i32−1−i32−1+i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i321+i321−i321−i32
χ421111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−1+i32−1−i32-111-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-111-1-111-1−1+i32−1+i32−1−i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i321−i321+i321+i32
χ431111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-111-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111-1-11-111-1-1-1-1-1-111-1-111-11111
χ441111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-1−1−i32−1+i32-111-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321-1-11-111-11+i321+i321−i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32
χ451111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-1−1+i32−1−i32-111-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321-1-11-111-11−i321−i321+i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32
χ461111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-111-11-1-11-1-1-1-11-1-111-1-111111
χ471111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-1−1−i32−1+i321-1-11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-111-11-1-111+i321+i321−i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ481111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-1−1+i32−1−i321-1-11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-111-11-1-111−i321−i321+i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ492-2-2222-2-22-22-200002-22-22-22-2000000002-22-22-22-200000000002-22-22-22-20000000000220000-2-2-2-22222-2-222-2-22-200002-200002-200002-20000000000000000000000000000
χ502-2-2222-2-22-22-200002-22-22-22-2000000002-22-22-22-200000000002-22-22-22-20000000000−1−i3−1+i300001+i31+i31−i31−i3−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i31+i30000−1+i31−i30000−1−i31+i30000−1+i31−i30000000000000000000000000000
χ512-2-2222-2-22-22-200002-22-22-22-2000000002-22-22-22-200000000002-22-22-22-20000000000−1+i3−1−i300001−i31−i31+i31+i3−1+i3−1−i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i31−i30000−1−i31+i30000−1+i31−i30000−1−i31+i30000000000000000000000000000
χ522-2-2222-2-2-22-220000-222-22-2-22000000002-22-2-22-2200000000002-22-2-22-220000000000220000-2-2-2-22222-2-222-2-2-220000-220000-220000-220000000000000000000000000000
χ532-2-2222-2-2-22-220000-222-22-2-22000000002-22-2-22-2200000000002-22-2-22-220000000000−1−i3−1+i300001+i31+i31−i31−i3−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i3−1−i300001−i3−1+i300001+i3−1−i300001−i3−1+i30000000000000000000000000000
χ542-2-2222-2-2-22-220000-222-22-2-22000000002-22-2-22-2200000000002-22-2-22-220000000000−1+i3−1−i300001−i31−i31+i31+i3−1+i3−1−i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i3−1+i300001+i3−1−i300001−i3−1+i300001+i3−1−i30000000000000000000000000000
χ552-2-22-2-2222-2-2200002-22-2-22-22000000002-2-222-2-2200000000002-2-222-2-220000000000220000-2-2-2-222-2-222-2-2222-200002-20000-220000-220000000000000000000000000000
χ562-2-22-2-2222-2-2200002-22-2-22-22000000002-2-222-2-2200000000002-2-222-2-220000000000−1−i3−1+i300001+i31+i31−i31−i3−1−i3−1+i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3−1−i31+i30000−1+i31−i300001+i3−1−i300001−i3−1+i30000000000000000000000000000
χ572-2-22-2-2222-2-2200002-22-2-22-22000000002-2-222-2-2200000000002-2-222-2-220000000000−1+i3−1−i300001−i31−i31+i31+i3−1+i3−1−i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3−1+i31−i30000−1−i31+i300001−i3−1+i300001+i3−1−i30000000000000000000000000000
χ582-2-22-2-222-222-20000-222-2-222-2000000002-2-22-222-200000000002-2-22-222-20000000000220000-2-2-2-222-2-222-2-222-220000-2200002-200002-20000000000000000000000000000
χ592-2-22-2-222-222-20000-222-2-222-2000000002-2-22-222-200000000002-2-22-222-20000000000−1−i3−1+i300001+i31+i31−i31−i3−1−i3−1+i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i3−1−i300001−i3−1+i30000−1−i31+i30000−1+i31−i30000000000000000000000000000
χ602-2-22-2-222-222-20000-222-2-222-2000000002-2-22-222-200000000002-2-22-222-20000000000−1+i3−1−i300001−i31−i31+i31+i3−1+i3−1−i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i3−1+i300001+i3−1−i30000−1+i31−i30000−1−i31+i30000000000000000000000000000
χ6133333333333333333333333333333333-1-1-1-1-1-1-1-13-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-13-1-13-1-1-1-100333300000000000000000000000000000000000000-1-1-1-1-1-1-1-10000000000000000
χ62333333333333333333333333-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-13-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-13-1-13-1-1-1-100-3-3-3-300000000000000000000000000000000000000111111110000000000000000
χ63333333333333-3-3-3-33333333333333333-1-1-1-1-1-1-1-1-3111111-311-1-1-1-1-1-1-1-111-311-3111100-3-3-3-300000000000000000000000000000000000000-1-1-1-111110000000000000000
χ64333333333333-3-3-3-333333333-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-3111111-311-1-1-1-1-1-1-1-111-311-31111003333000000000000000000000000000000000000001111-1-1-1-10000000000000000
χ6533333333-3-3-3-33-33-3-3-33333-3-333-3-333-3-3-1-1-1-111113-1-1-1-111-311-1-1-1-11111-1-13-1-1-311110033-3-300000000000000000000000000000000000000-1-111-1-1110000000000000000
χ6633333333-3-3-3-33-33-3-3-33333-3-3-3-333-3-333-1-1-1-111113-1-1-1-111-311-1-1-1-11111-1-13-1-1-3111100-3-3330000000000000000000000000000000000000011-1-111-1-10000000000000000
χ6733333333-3-3-3-3-33-33-3-33333-3-333-3-333-3-3-1-1-1-11111-31111-1-13-1-1-1-1-1-1111111-3113-1-1-1-100-3-33300000000000000000000000000000000000000-1-11111-1-10000000000000000
χ6833333333-3-3-3-3-33-33-3-33333-3-3-3-333-3-333-1-1-1-11111-31111-1-13-1-1-1-1-1-1111111-3113-1-1-1-10033-3-30000000000000000000000000000000000000011-1-1-1-1110000000000000000
χ693333-3-3-3-333-3-33-3-333333-3-3-3-33333-3-3-3-3-1-111-1-1113-1-111-1-1-311-1-111-1-111-1-1-3113-1-111003-33-300000000000000000000000000000000000000-11-11-11-110000000000000000
χ703333-3-3-3-333-3-33-3-333333-3-3-3-3-3-3-3-33333-1-111-1-1113-1-111-1-1-311-1-111-1-111-1-1-3113-1-11100-33-33000000000000000000000000000000000000001-11-11-11-10000000000000000
χ713333-3-3-3-333-3-3-333-33333-3-3-3-33333-3-3-3-3-1-111-1-111-311-1-1113-1-1-1-111-1-111113-1-1-311-1-100-33-3300000000000000000000000000000000000000-11-111-11-10000000000000000
χ723333-3-3-3-333-3-3-333-33333-3-3-3-3-3-3-3-33333-1-111-1-111-311-1-1113-1-1-1-111-1-111113-1-1-311-1-1003-33-3000000000000000000000000000000000000001-11-1-11-110000000000000000
χ733333-3-3-3-3-3-33333-3-3-3-333-3-33333-3-3-3-333-1-11111-1-13-1-111113-1-1-1-11111-1-1-1-1-311-311-1-1003-3-3300000000000000000000000000000000000000-111-1-111-10000000000000000
χ743333-3-3-3-3-3-33333-3-3-3-333-3-333-3-33333-3-3-1-11111-1-13-1-111113-1-1-1-11111-1-1-1-1-311-311-1-100-333-3000000000000000000000000000000000000001-1-111-1-110000000000000000
χ753333-3-3-3-3-3-333-3-333-3-333-3-33333-3-3-3-333-1-11111-1-1-311-1-1-1-1-311-1-11111-1-1113-1-13-1-11100-333-300000000000000000000000000000000000000-111-11-1-110000000000000000
χ763333-3-3-3-3-3-333-3-333-3-333-3-333-3-33333-3-3-1-11111-1-1-311-1-1-1-1-311-1-11111-1-1113-1-13-1-111003-3-33000000000000000000000000000000000000001-1-11-111-10000000000000000
χ776666666666666666-2-2-2-2-2-2-2-20000000022-2-222-2-2-222-2-2-2-2-222-2-222-2-222-2-2-222-222-2-200000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.