Finite Group Databasebeta

← Group #11788168

Character table — Group #11788168

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444466666666666666668888888888882424242411111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order122244442222223444444666121212126666661212121212124444444444444444244466121212121212888836661212121266666631212121212126661212121266666612121212121212121212121212121212121212121212612121266121212121212242424243666121212126666663121212121212666121212126666661212121212121212121212121212121212121212121261212126612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1
χ6111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111
χ7111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111
χ8111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1
χ91111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i
χ101111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii
χ111111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii
χ121111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1i−i−ii1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1i−i−ii1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1i−i−ii
χ141111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111−iii−i1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111−iii−i1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111−iii−i
χ151111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1−iii−i1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1−iii−i1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1−iii−i
χ161111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111-1-111i−i−ii1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111-1-111i−i−ii1111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111-1-111i−i−ii
χ1722222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ19222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100000000000000002-2-22-1-11111-1-10000222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100000000000000002-2-22-1-11111-1-10000222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100000000000000002-2-22-1-11111-1-10000
χ20222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000000000000000-222-211-1-1-1-1110000222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000000000000000-222-211-1-1-1-1110000222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000000000000000-222-211-1-1-1-1110000
χ2122222222-222-2-2-22-2-2-2-2222222222-2-222-2-2-2-2-2-2220000000000000000000000000000000022222222-222-2-2-22-2-2-2-2222222222-2-222-2-2-2-2-2-2220000000000000000000000000000000022222222-222-2-2-22-2-2-2-2222222222-2-222-2-2-2-2-2-22200000000000000000000000000000000
χ2222222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2322222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2422222222-2-2-222-22-2-222-2-22222222-2-2-2-222-2-222-2-20000000000000000000000000000000022222222-2-2-222-22-2-222-2-22222222-2-2-2-222-2-222-2-20000000000000000000000000000000022222222-2-2-222-22-2-222-2-22222222-2-2-2-222-2-222-2-200000000000000000000000000000000
χ2522222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i3000022222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i3000022222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ2622222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i3000022222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i3000022222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ272222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000
χ282222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000−i3i3−i3i3i3−i3i3−i300002222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000−i3i3−i3i3i3−i3i3−i300002222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ292222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000i3−i3i3−i3−i3i3−i3i300002222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000i3−i3i3−i3−i3i3−i3i300002222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ302222-2-2-2-22-2-2-2-222-2-22222222-2-2-2-222-2-2-2-2-2-22222000000000000000000000000000000002222-2-2-2-22-2-2-2-222-2-22222222-2-2-2-222-2-2-2-2-2-22222000000000000000000000000000000002222-2-2-2-22-2-2-2-222-2-22222222-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ312222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300002222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300002222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ322222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300002222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300002222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ332222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-111000000000000000022-2-2-1-1-1-1111100002222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-111000000000000000022-2-2-1-1-1-1111100002222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-111000000000000000022-2-2-1-1-1-111110000
χ342222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-1110000000000000000-2-2221111-1-1-1-100002222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-1110000000000000000-2-2221111-1-1-1-100002222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-1110000000000000000-2-2221111-1-1-1-10000
χ352222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-100000000000000002-22-2-1-111-1-11100002222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-100000000000000002-22-2-1-111-1-11100002222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-100000000000000002-22-2-1-111-1-1110000
χ362222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-10000000000000000-22-2211-1-111-1-100002222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-10000000000000000-22-2211-1-111-1-100002222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-10000000000000000-22-2211-1-111-1-10000
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χ77111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1−1+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+i321−i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−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−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−i321+i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ78111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111−1+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+i321−i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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−i321+i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ79111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i32−1+i32−1+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+i321−i321−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−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−i321+i321+i321+i321+i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
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χ811111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11−ζ11ζ11−ζ11
χ821111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11
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χ151111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111−1−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−i321+i321+i321+i321+i32−1−i32−1−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−i321+i321+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+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+i321−i321−i321−i321−i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ152111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−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+i32−1−i32−1−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+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+i321−i321−i321−i321−i32−1+i32−1+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−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1531111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7−ζ7ζ7−ζ7
χ1541111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7
χ1551111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7ζ7−ζ7ζ7
χ1561111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7
χ1571111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7
χ1581111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7
χ1591111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7
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χ16122222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000−1−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+i32−1−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+i320000000000000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1+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−i32−1+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−i320000000000000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000
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χ2144-4-444-4-44-400004-2-44000022-2-222-22-200002-2000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i30000−2−2i31+i32+2i3−2−2i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000−1−i31+i3000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i30000−2+2i31−i32−2i3−2+2i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000−1+i31−i3000000000000000000000000000000000000
χ2154-4-44-444-440000-4-2-44000022-22-2-22-2200002-2000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i300002+2i31+i32+2i3−2−2i30000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i31+i3000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i300002−2i31−i32−2i3−2+2i30000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i31−i3000000000000000000000000000000000000
χ2164-4-44-444-4-400004-24-4000022-22-2-222-20000-22000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i30000−2−2i31+i3−2−2i32+2i30000−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i300001+i3−1−i3000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i30000−2+2i31−i3−2+2i32−2i30000−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i300001−i3−1+i3000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.