Finite Group Databasebeta

← Group #11807944

Character table — Group #11807944

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111111112222222244444444444444444444444444888888881212121212121212121212121212121211111111222222224444444444444444444444444488888888121212121212121212121212121212121111111122222222444444444444444444444444448888888812121212121212121212121212121212
order122222223666666644444444444444121212121212121212121212121212121212121244444444444444443666666636666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121236666666366666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111
χ5111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ91111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ101111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ121111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ141111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ151111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1
χ161111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ1711-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-11-1i−ii−ii−ii−i1-11-11-111-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-11-1i−ii−ii−ii−i1-11-11-111-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-11-1i−ii−ii−ii−i1-11-11-1
χ1811-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-1-11−ii−ii−ii−ii-11-11-1111-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-1-11−ii−ii−ii−ii-11-11-1111-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-1-11−ii−ii−ii−ii-11-11-11
χ1911-11-1-1-1111-11-1-11-11-1i−i−iii−i−ii-11-11ii−i−i−i−iii-1-1111-1−iii−i-111-1i−i−iii−i−ii1-1-11-1111-11-1-1-1111-11-1-11-11-1i−i−iii−i−ii-11-11ii−i−i−i−iii-1-1111-1−iii−i-111-1i−i−iii−i−ii1-1-11-1111-11-1-1-1111-11-1-11-11-1i−i−iii−i−ii-11-11ii−i−i−i−iii-1-1111-1−iii−i-111-1i−i−iii−i−ii1-1-11-11
χ2011-11-1-1-1111-11-1-11-11-1i−i−iii−i−ii-11-11ii−i−i−i−iii-1-1111-1−iii−i-11-11−iii−i−iii−i-111-11-111-11-1-1-1111-11-1-11-11-1i−i−iii−i−ii-11-11ii−i−i−i−iii-1-1111-1−iii−i-11-11−iii−i−iii−i-111-11-111-11-1-1-1111-11-1-11-11-1i−i−iii−i−ii-11-11ii−i−i−i−iii-1-1111-1−iii−i-11-11−iii−i−iii−i-111-11-1
χ2111-11-1-1-1111-11-1-11-11-1−iii−i−iii−i-11-11−i−iiiii−i−i-1-1111-1i−i−ii-111-1−iii−i−iii−i1-1-11-1111-11-1-1-1111-11-1-11-11-1−iii−i−iii−i-11-11−i−iiiii−i−i-1-1111-1i−i−ii-111-1−iii−i−iii−i1-1-11-1111-11-1-1-1111-11-1-11-11-1−iii−i−iii−i-11-11−i−iiiii−i−i-1-1111-1i−i−ii-111-1−iii−i−iii−i1-1-11-11
χ2211-11-1-1-1111-11-1-11-11-1−iii−i−iii−i-11-11−i−iiiii−i−i-1-1111-1i−i−ii-11-11i−i−iii−i−ii-111-11-111-11-1-1-1111-11-1-11-11-1−iii−i−iii−i-11-11−i−iiiii−i−i-1-1111-1i−i−ii-11-11i−i−iii−i−ii-111-11-111-11-1-1-1111-11-1-11-11-1−iii−i−iii−i-11-11−i−iiiii−i−i-1-1111-1i−i−ii-11-11i−i−iii−i−ii-111-11-1
χ2311-11-1-1-1111-11-1-11-11-1−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-11-1−ii−ii−ii−ii1-11-11-111-11-1-1-1111-11-1-11-11-1−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-11-1−ii−ii−ii−ii1-11-11-111-11-1-1-1111-11-1-11-11-1−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-11-1−ii−ii−ii−ii1-11-11-1
χ2411-11-1-1-1111-11-1-11-11-1−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-1-11i−ii−ii−ii−i-11-11-1111-11-1-1-1111-11-1-11-11-1−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-1-11i−ii−ii−ii−i-11-11-1111-11-1-1-1111-11-1-11-11-1−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-11-1−ii−ii1-1-11i−ii−ii−ii−i-11-11-11
χ2511-11-1-1-1111-11-1-11-1-11i−ii−i−ii−ii1-1-11−i−iiiii−i−i-1-111-11−iii−i1-11-1−iii−ii−i−ii-111-1-1111-11-1-1-1111-11-1-11-1-11i−ii−i−ii−ii1-1-11−i−iiiii−i−i-1-111-11−iii−i1-11-1−iii−ii−i−ii-111-1-1111-11-1-1-1111-11-1-11-1-11i−ii−i−ii−ii1-1-11−i−iiiii−i−i-1-111-11−iii−i1-11-1−iii−ii−i−ii-111-1-11
χ2611-11-1-1-1111-11-1-11-1-11i−ii−i−ii−ii1-1-11−i−iiiii−i−i-1-111-11−iii−i1-1-11i−i−ii−iii−i1-1-111-111-11-1-1-1111-11-1-11-1-11i−ii−i−ii−ii1-1-11−i−iiiii−i−i-1-111-11−iii−i1-1-11i−i−ii−iii−i1-1-111-111-11-1-1-1111-11-1-11-1-11i−ii−i−ii−ii1-1-11−i−iiiii−i−i-1-111-11−iii−i1-1-11i−i−ii−iii−i1-1-111-1
χ2711-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-111-1−ii−iii−ii−i-11-111-111-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-111-1−ii−iii−ii−i-11-111-111-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-111-1−ii−iii−ii−i-11-111-1
χ2811-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-11-11i−ii−i−ii−ii1-11-1-1111-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-11-11i−ii−i−ii−ii1-11-1-1111-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-11-11i−ii−i−ii−ii1-11-1-11
χ2911-11-1-1-1111-11-1-11-1-11−iii−ii−i−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-111-1i−ii−i−ii−ii-11-111-111-11-1-1-1111-11-1-11-1-11−iii−ii−i−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-111-1i−ii−i−ii−ii-11-111-111-11-1-1-1111-11-1-11-1-11−iii−ii−i−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-111-1i−ii−i−ii−ii-11-111-1
χ3011-11-1-1-1111-11-1-11-1-11−iii−ii−i−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-11-11−ii−iii−ii−i1-11-1-1111-11-1-1-1111-11-1-11-1-11−iii−ii−i−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-11-11−ii−iii−ii−i1-11-1-1111-11-1-1-1111-11-1-11-1-11−iii−ii−i−ii-111-1ii−i−iii−i−i11-1-1-11−ii−ii-11-11−ii−iii−ii−i1-11-1-11
χ3111-11-1-1-1111-11-1-11-1-11−ii−iii−ii−i1-1-11ii−i−i−i−iii-1-111-11i−i−ii1-11-1i−i−ii−iii−i-111-1-1111-11-1-1-1111-11-1-11-1-11−ii−iii−ii−i1-1-11ii−i−i−i−iii-1-111-11i−i−ii1-11-1i−i−ii−iii−i-111-1-1111-11-1-1-1111-11-1-11-1-11−ii−iii−ii−i1-1-11ii−i−i−i−iii-1-111-11i−i−ii1-11-1i−i−ii−iii−i-111-1-11
χ3211-11-1-1-1111-11-1-11-1-11−ii−iii−ii−i1-1-11ii−i−i−i−iii-1-111-11i−i−ii1-1-11−iii−ii−i−ii1-1-111-111-11-1-1-1111-11-1-11-1-11−ii−iii−ii−i1-1-11ii−i−i−i−iii-1-111-11i−i−ii1-1-11−iii−ii−i−ii1-1-111-111-11-1-1-1111-11-1-11-1-11−ii−iii−ii−i1-1-11ii−i−i−i−iii-1-111-11i−i−ii1-1-11−iii−ii−i−ii1-1-111-1
χ3322222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422222222-1-1-1-1-1-1-1-12222-2-222-2-2-2-2-2-2-1-1-1-111111111-1-111-1-111000000000000000022222222-1-1-1-1-1-1-1-12222-2-222-2-2-2-2-2-2-1-1-1-111111111-1-111-1-111000000000000000022222222-1-1-1-1-1-1-1-12222-2-222-2-2-2-2-2-2-1-1-1-111111111-1-111-1-1110000000000000000
χ3522222222-1-1-1-1-1-1-1-122-2-222-2-222-2-2-2-21111-1-1-1-11111-1-1-1-11111000000000000000022222222-1-1-1-1-1-1-1-122-2-222-2-222-2-2-2-21111-1-1-1-11111-1-1-1-11111000000000000000022222222-1-1-1-1-1-1-1-122-2-222-2-222-2-2-2-21111-1-1-1-11111-1-1-1-111110000000000000000
χ3622222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-11111-1-1000000000000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-11111-1-1000000000000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-11111-1-10000000000000000
χ3722222222-1-1-1-1-1-1-1-1-2-22222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-1000000000000000022222222-1-1-1-1-1-1-1-1-2-22222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-1000000000000000022222222-1-1-1-1-1-1-1-1-2-22222-2-2-2-222-2-21111-1-1-1-111111111-1-1-1-10000000000000000
χ3822222222-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-22211111111-1-1-1-111-1-1-1-111000000000000000022222222-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-22211111111-1-1-1-111-1-1-1-111000000000000000022222222-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-22211111111-1-1-1-111-1-1-1-1110000000000000000
χ3922222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022222222-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
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χ8411-11-1-1-1111-11-1-11-11-1i−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-11-1i−ii−i1-1-11−ii−ii−ii−ii-11-11-11−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32
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χ137111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321−i321−i32
χ138111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111−1−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ139111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ140111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ1411111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1−1−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+i32−1−i32−1−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+i321+i321+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+i321+i321+i32−1−i32−1−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−i32−1+i32−1+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−i321−i321−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−i321−i321−i32−1+i32−1+i321−i321−i32
χ1421111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111−1−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−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1431111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111−1−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+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+i32−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1441111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1−1−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1451111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−1−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−i32−1−i32−1−i321+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−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+i32−1−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+i32−1+i32−1+i321−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+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ1461111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1471111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1481111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111−1−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−i32−1−i32−1−i321+i321+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+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i32−1+i32−1+i321−i321−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−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ16011-11-1-1-1111-11-1-11-1-11i−i−ii−iii−i-111-1−i−iii−i−iii11-1-1-11i−ii−i-11-11i−ii−i−ii−ii1-11-1-11−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.