Finite Group Databasebeta

← Group #11773457

Character table — Group #11773457

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111111111111111122222222222222224444444444444444444444444444444444441212121212121212121212121212121211111111111111112222222222222222444444444444444444444444444444444444121212121212121212121212121212121111111111111111222222222222222244444444444444444444444444444444444412121212121212121212121212121212
order12222222222222223666666666666666444444444444121212121212121212121212121212121212121212121212444444444444444436666666666666663666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123666666666666666366666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1
χ10111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111
χ11111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111
χ12111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1
χ13111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111
χ14111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1
χ15111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1
χ16111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ21222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ22222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ23222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-111-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-111-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-111-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ24222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-111-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-111-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-111-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ252222-2-2222-2-2-2-22-2-22222-2-2-22222-2-2-2-2-200000000000000000000000000000000000000002-22-2000000002222-2-2222-2-2-2-22-2-22222-2-2-22222-2-2-2-2-200000000000000000000000000000000000000002-22-2000000002222-2-2222-2-2-2-22-2-22222-2-2-22222-2-2-2-2-200000000000000000000000000000000000000002-22-200000000
χ262222-2-2222-2-2-2-22-2-22222-2-2-22222-2-2-2-2-20000000000000000000000000000000000000000-22-22000000002222-2-2222-2-2-2-22-2-22222-2-2-22222-2-2-2-2-20000000000000000000000000000000000000000-22-22000000002222-2-2222-2-2-2-22-2-22222-2-2-22222-2-2-2-2-20000000000000000000000000000000000000000-22-2200000000
χ272222-2-2-2-2-22-222-22-22222-2-2-2-2-2-2-222-22200000000000000000000000000000000000000002i−2i−2i2i000000002222-2-2-2-2-22-222-22-22222-2-2-2-2-2-2-222-22200000000000000000000000000000000000000002i−2i−2i2i000000002222-2-2-2-2-22-222-22-22222-2-2-2-2-2-2-222-22200000000000000000000000000000000000000002i−2i−2i2i00000000
χ282222-2-2-2-2-22-222-22-22222-2-2-2-2-2-2-222-2220000000000000000000000000000000000000000−2i2i2i−2i000000002222-2-2-2-2-22-222-22-22222-2-2-2-2-2-2-222-2220000000000000000000000000000000000000000−2i2i2i−2i000000002222-2-2-2-2-22-222-22-22222-2-2-2-2-2-2-222-2220000000000000000000000000000000000000000−2i2i2i−2i00000000
χ2922-2-22222-22-2-2-2-22-222-2-222-222-2-222-2-2-20000000000000000000000000000000000002-22-200000000000022-2-22222-22-2-2-2-22-222-2-222-222-2-222-2-2-20000000000000000000000000000000000002-22-200000000000022-2-22222-22-2-2-2-22-222-2-222-222-2-222-2-2-20000000000000000000000000000000000002-22-2000000000000
χ3022-2-22222-22-2-2-2-22-222-2-222-222-2-222-2-2-2000000000000000000000000000000000000-22-2200000000000022-2-22222-22-2-2-2-22-222-2-222-222-2-222-2-2-2000000000000000000000000000000000000-22-2200000000000022-2-22222-22-2-2-2-22-222-2-222-222-2-222-2-2-2000000000000000000000000000000000000-22-22000000000000
χ3122-2-222-2-22-2-2222-2-222-2-222-2-2-222-2-2-2220000000000000000000000000000000000002i−2i−2i2i00000000000022-2-222-2-22-2-2222-2-222-2-222-2-2-222-2-2-2220000000000000000000000000000000000002i−2i−2i2i00000000000022-2-222-2-22-2-2222-2-222-2-222-2-2-222-2-2-2220000000000000000000000000000000000002i−2i−2i2i000000000000
χ3222-2-222-2-22-2-2222-2-222-2-222-2-2-222-2-2-222000000000000000000000000000000000000−2i2i2i−2i00000000000022-2-222-2-22-2-2222-2-222-2-222-2-2-222-2-2-222000000000000000000000000000000000000−2i2i2i−2i00000000000022-2-222-2-22-2-2222-2-222-2-222-2-2-222-2-2-222000000000000000000000000000000000000−2i2i2i−2i000000000000
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χ94111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−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+i32−1−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ95111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−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+i32−1−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ96111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+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−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
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χ98111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ1012222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−1+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+i31−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+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000−1−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−i31+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−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000
χ1022222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000−1+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+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−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+i320000000000000000−1−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−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+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−i320000000000000000
χ1032222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000−1+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+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+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+i320000000000000000−1−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−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−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−i320000000000000000
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χ105222222-2-2-2-22-2-2-2-22-1-1-1-1-1-1-1111111-11122-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i32ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ70000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i32ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ110000000000000000
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χ180111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−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+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ181111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ182111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ184111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.