Finite Group Databasebeta

← Group #13158213

Character table — Group #13158213

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111111112222222222222222444444444444444444444444446666666612121212121212121212121212121212121212121818181836361111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order12222222336666666666666634466666661212121212121212121212121212121244444444444412121212121212121212121212121212222244366666663366666666666666312126666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121266661212366666663366666666666666312126666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121266661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ911-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1ii−i−i11-1-1ii−i−i11-1-111-1-1i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1ii−i−i11-1-1ii−i−i11-1-111-1-1i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1ii−i−i11-1-1ii−i−i11-1-111-1-1i−i
χ1011-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii1-1-11ii−i−i11-1-1−i−iii-1-111-1-111−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii1-1-11ii−i−i11-1-1−i−iii-1-111-1-111−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii1-1-11ii−i−i11-1-1−i−iii-1-111-1-111−ii
χ1111-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i-111-1−i−iii-1-111ii−i−i11-1-1-1-111−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i-111-1−i−iii-1-111ii−i−i11-1-1-1-111−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i-111-1−i−iii-1-111ii−i−i11-1-1-1-111−ii
χ1211-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11−i−iii-1-111−i−iii-1-11111-1-1i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11−i−iii-1-111−i−iii-1-11111-1-1i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11−i−iii-1-111−i−iii-1-11111-1-1i−i
χ1311-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11ii−i−i-1-111ii−i−i-1-11111-1-1−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11ii−i−i-1-111ii−i−i-1-11111-1-1−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11ii−i−i-1-111ii−i−i-1-11111-1-1−ii
χ1411-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii-111-1ii−i−i-1-111−i−iii11-1-1-1-111i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii-111-1ii−i−i-1-111−i−iii11-1-1-1-111i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii-111-1ii−i−i-1-111−i−iii11-1-1-1-111i−i
χ1511-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i1-1-11−i−iii11-1-1ii−i−i-1-111-1-111i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i1-1-11−i−iii11-1-1ii−i−i-1-111-1-111i−i11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i1-1-11−i−iii11-1-1ii−i−i-1-111-1-111i−i
χ1611-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1−i−iii11-1-1−i−iii11-1-111-1-1−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1−i−iii11-1-1−i−iii11-1-111-1-1−ii11-1-1-111-1111111-1-1-1-1-1-111-1-11−ii111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1−i−iii11-1-1−i−iii11-1-111-1-1−ii
χ17222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ18222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ19222222222-122-1-122-1-12-12-12-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000222200-2-200000000-1-1-1-11111000000222222222-122-1-122-1-12-12-12-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000222200-2-200000000-1-1-1-11111000000222222222-122-1-122-1-12-12-12-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000222200-2-200000000-1-1-1-11111000000
χ20222222222-122-1-122-1-12-12-12-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-20022000000001111-1-1-1-1000000222222222-122-1-122-1-12-12-12-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-20022000000001111-1-1-1-1000000222222222-122-1-122-1-12-12-12-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-20022000000001111-1-1-1-1000000
χ2122222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-10000000000000022222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-10000000000000022222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ2222222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-200111111110000000000000022222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-200111111110000000000000022222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ2322222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-21111111122220000-2-200-1-1-1-111110000000000000022222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-21111111122220000-2-200-1-1-1-111110000000000000022222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-21111111122220000-2-200-1-1-1-1111100000000000000
χ2422222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-2000022001111-1-1-1-10000000000000022222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-2000022001111-1-1-1-10000000000000022222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-2000022001111-1-1-1-100000000000000
χ252222-2-2-2-2222-22-22222-2-2-2-2-2-22002-2-222-2-2000000000000000000000000000000000000000000002-22-2002222-2-2-2-2222-22-22222-2-2-2-2-2-22002-2-222-2-2000000000000000000000000000000000000000000002-22-2002222-2-2-2-2222-22-22222-2-2-2-2-2-22002-2-222-2-2000000000000000000000000000000000000000000002-22-200
χ262222-2-2-2-2222-22-22222-2-2-2-2-2-22002-2-222-2-200000000000000000000000000000000000000000000-22-22002222-2-2-2-2222-22-22222-2-2-2-2-2-22002-2-222-2-200000000000000000000000000000000000000000000-22-22002222-2-2-2-2222-22-22222-2-2-2-2-2-22002-2-222-2-200000000000000000000000000000000000000000000-22-2200
χ2722-2-22-2-22222-22-2-2-2-2-222-2-2222002-2-2-2-222000000000000000000000000000000000000000000002-2-220022-2-22-2-22222-22-2-2-2-2-222-2-2222002-2-2-2-222000000000000000000000000000000000000000000002-2-220022-2-22-2-22222-22-2-2-2-2-222-2-2222002-2-2-2-222000000000000000000000000000000000000000000002-2-2200
χ2822-2-22-2-22222-22-2-2-2-2-222-2-2222002-2-2-2-22200000000000000000000000000000000000000000000-222-20022-2-22-2-22222-22-2-2-2-2-222-2-2222002-2-2-2-22200000000000000000000000000000000000000000000-222-20022-2-22-2-22222-22-2-2-2-2-222-2-2222002-2-2-2-22200000000000000000000000000000000000000000000-222-200
χ2922-2-2-222-22-122-1-1-2-211-212-1-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i002-200000000−i−iii-1-11100000022-2-2-222-22-122-1-1-2-211-212-1-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i002-200000000−i−iii-1-11100000022-2-2-222-22-122-1-1-2-211-212-1-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i002-200000000−i−iii-1-111000000
χ3022-2-2-222-22-122-1-1-2-211-212-1-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i00-2200000000ii−i−i11-1-100000022-2-2-222-22-122-1-1-2-211-212-1-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i00-2200000000ii−i−i11-1-100000022-2-2-222-22-122-1-1-2-211-212-1-21-12i−2i-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i00-2200000000ii−i−i11-1-1000000
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χ9611-1-1-111-1111111-1-1-1-1-1-111-1-11i−i111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11−i−iii-1-111−i−iii-1-11111-1-1i−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11
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χ101222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3−1+i3−1+i300−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3−1−i3−1−i300−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i32000000
χ102222222222-122-1-122-1-12-12-12-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i31−i31−i3001−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i31+i31+i3001+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000
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χ10622222222-12-1-122-1-122-12-12-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i300001−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i300001+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000
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χ10822222222-12-1-122-1-122-12-12-12-1-2-2-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-2000022001111-1-1-1-100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i30000−1+i3−1+i300−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i30000−1−i3−1−i300−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000
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χ2152-22-2-2-2222-1-2-21-12-2-11-21212-1-10011-1-11-1100−3300−33−33−33−33−3300002-22-2000000000000-11-11−33−33000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i321+i32−1−i31+i31+i32−1−i321+i3−1−i32−1−i3−1−i32−1−i31+i321+i3200−1−i32−1−i321+i321+i32−1−i321+i32−1−i3200−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−1−i31+i3−1−i31+i30000000000001+i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i321−i32−1+i31−i31−i32−1+i321−i3−1+i32−1+i3−1+i32−1+i31−i321−i3200−1+i32−1+i321−i321−i32−1+i321−i32−1+i3200ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1+i31−i3−1+i31−i30000000000001−i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ2162-22-2-2-2222-1-2-21-12-2-11-21212-1-10011-1-11-1100−3300−33−33−33−33−330000-22-220000000000001-11-13−33−3000000−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i321+i32−1−i31+i31+i32−1−i321+i3−1−i32−1−i3−1−i32−1−i31+i321+i3200−1−i32−1−i321+i321+i32−1−i321+i32−1−i3200−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100001+i3−1−i31+i3−1−i3000000000000−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i321−i32−1+i31−i31−i32−1+i321−i3−1+i32−1+i3−1+i32−1+i31−i321−i3200−1+i32−1+i321−i321−i32−1+i321−i32−1+i3200ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100001−i3−1+i31−i3−1+i3000000000000−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ2172-2-222-22-222-2-2-22-22-22222-2-2-2200-2-22-22-22000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3001+i31+i3−1−i31+i3−1−i31+i3−1−i3000000000000000000002ζ11−2ζ11−2ζ112ζ110000000000002ζ11−2ζ11−2ζ112ζ110000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3001−i31−i3−1+i31−i3−1+i31−i3−1+i3000000000000000000002ζ7−2ζ7−2ζ72ζ70000000000002ζ7−2ζ7−2ζ72ζ70000000000
χ2182-2-222-22-222-2-2-22-22-22222-2-2-2200-2-22-22-2200000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3001+i31+i3−1−i31+i3−1−i31+i3−1−i300000000000000000000−2ζ112ζ112ζ11−2ζ11000000000000−2ζ112ζ112ζ11−2ζ110000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3001−i31−i3−1+i31−i3−1+i31−i3−1+i300000000000000000000−2ζ72ζ72ζ7−2ζ7000000000000−2ζ72ζ72ζ7−2ζ70000000000
χ2192-2-222-22-22-1-2-21-1-221-12-121-21-10011-11-11-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i000000000000−iii−i−333−3000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i321+i31+i3−1−i321+i321+i3−1−i3−1−i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+i3200−1−i32−1−i321+i32−1−i321+i32−1−i321+i3200−3+i323−i32003−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i3200002ζ11−2ζ11−2ζ112ζ11000000000000−ζ11ζ11ζ11−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i321−i31−i3−1+i321−i321−i3−1+i3−1+i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−i3200−1+i32−1+i321−i32−1+i321−i32−1+i321−i32003+i32−3−i3200−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i3200002ζ7−2ζ7−2ζ72ζ7000000000000−ζ7ζ7ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ2202-2-222-22-22-1-2-21-1-221-12-121-21-10011-11-11-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i30000−2i2i2i−2i000000000000i−i−ii3−3−33000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i321+i31+i3−1−i321+i321+i3−1−i3−1−i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+i3200−1−i32−1−i321+i32−1−i321+i32−1−i321+i3200−3+i323−i32003−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i320000−2ζ112ζ112ζ11−2ζ11000000000000ζ11−ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i321−i31−i3−1+i321−i321−i3−1+i3−1+i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−i3200−1+i32−1+i321−i32−1+i321−i32−1+i321−i32003+i32−3−i3200−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i320000−2ζ72ζ72ζ7−2ζ7000000000000ζ7−ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ2212-2-222-22-22-1-2-21-1-221-12-121-21-10011-11-11-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i300002i−2i−2i2i000000000000−iii−i3−3−33000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i321+i31+i3−1−i321+i321+i3−1−i3−1−i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+i3200−1−i32−1−i321+i32−1−i321+i32−1−i321+i32003−i32−3+i3200−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i3200002ζ11−2ζ11−2ζ112ζ11000000000000−ζ11ζ11ζ11−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i321−i31−i3−1+i321−i321−i3−1+i3−1+i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−i3200−1+i32−1+i321−i32−1+i321−i32−1+i321−i3200−3−i323+i32003+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i3200002ζ7−2ζ7−2ζ72ζ7000000000000−ζ7ζ7ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ2222-2-222-22-22-1-2-21-1-221-12-121-21-10011-11-11-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i000000000000i−i−ii−333−3000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i321+i31+i3−1−i321+i321+i3−1−i3−1−i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+i3200−1−i32−1−i321+i32−1−i321+i32−1−i321+i32003−i32−3+i3200−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i320000−2ζ112ζ112ζ11−2ζ11000000000000ζ11−ζ11−ζ11ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i321−i31−i3−1+i321−i321−i3−1+i3−1+i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−i3200−1+i32−1+i321−i32−1+i321−i32−1+i321−i3200−3−i323+i32003+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i320000−2ζ72ζ72ζ7−2ζ7000000000000ζ7−ζ7−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ2232-2-22-22-2222-22-2-2-22-22-2-2-2222200-22-2-222-200000000000000002-2-22000000002-2-22000000000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i3−1−i31+i30000000000000000−1−i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i3000000000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i3−1+i31−i30000000000000000−1+i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i3000000000000000000
χ2242-2-22-22-2222-22-2-2-22-22-2-2-2222200-22-2-222-20000000000000000-222-200000000-222-2000000000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i3−1−i31+i300000000000000001+i3−1−i3−1−i31+i3000000001+i3−1−i3−1−i31+i3000000000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i3−1+i31−i300000000000000001−i3−1+i3−1+i31−i3000000001−i3−1+i3−1+i31−i3000000000000000000
χ2252-2-22-22-22-121-1-2-21-1-221-212-12-1001-111-1-113−300−330033−3−3−3−3332-2-2200000000-111-1−333−300000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i32−1−i3−1−i321+i321+i31+i3−1−i321+i321+i3−1−i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i3200−1−i321+i32−1−i32−1−i321+i321+i32−1−i322ζ7+ζ11−2ζ7−ζ1100−2ζ7−ζ112ζ7+ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i31+i31+i3−1−i3000000001+i32−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i32−1+i3−1+i321−i321−i31−i3−1+i321−i321−i3−1+i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i3200−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ1100ζ7+2ζ11−ζ7−2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i31−i31−i3−1+i3000000001−i32−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.