Finite Group Databasebeta

← Group #13158287

Character table — Group #13158287

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111111112222222222222222444444444444444444444444446666666612121212121212121212121212121212121212121818181836361111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order1222222233666666666666663446666666121212121212121212121212121212124444444444441212121212121212121212121212121244444436666666336666666666666631212666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123666666633666666666666663121266666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212
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
χ911-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1ii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i
χ1011-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−ii11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−ii11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii−ii
χ1111-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii−ii11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii−ii11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111ii−i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii−ii
χ1211-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i11-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i
χ1311-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1ii−i−i-11−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−ii11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1ii−i−i-11−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−ii11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1ii−i−i-11−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−ii
χ1411-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1−i−iii-11i−i11-1-1-1-111−i−iiiii−i−i−i−iiii−i11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1−i−iii-11i−i11-1-1-1-111−i−iiiii−i−i−i−iiii−i11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1−i−iii-11i−i11-1-1-1-111−i−iiiii−i−i−i−iiii−i
χ1511-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111ii−i−i1-1−ii-1-11111-1-1ii−i−i−i−iii−i−iiii−i11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111ii−i−i1-1−ii-1-11111-1-1ii−i−i−i−iii−i−iiii−i11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111ii−i−i1-1−ii-1-11111-1-1ii−i−i−i−iii−i−iiii−i
χ1611-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111−i−iii1-1i−i-1-11111-1-1−i−iiiii−i−iii−i−i−ii11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111−i−iii1-1i−i-1-11111-1-1−i−iiiii−i−iii−i−i−ii11-1-111-1-111111-1-1-1-1-1-1-1111-11-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111−i−iii1-1i−i-1-11111-1-1−i−iiiii−i−iii−i−i−ii
χ17222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ18222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ19222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122220000-2-200-1-1-1-1111100000000000000222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122220000-2-200-1-1-1-1111100000000000000222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122220000-2-200-1-1-1-1111100000000000000
χ20222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000022001111-1-1-1-100000000000000222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000022001111-1-1-1-100000000000000222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000022001111-1-1-1-100000000000000
χ2122222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-100000022222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-100000022222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ2222222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000000001111111100000022222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000000001111111100000022222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ2322222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000222200-2-200000000-1-1-1-1111100000022222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000222200-2-200000000-1-1-1-1111100000022222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000222200-2-200000000-1-1-1-11111000000
χ2422222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-20022000000001111-1-1-1-100000022222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-20022000000001111-1-1-1-100000022222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-20022000000001111-1-1-1-1000000
χ25222-2-2-22-2222-2222-222-2-2-2-2-2-22002-222-2-2-2000000000000000000000000000000000000000000002-22-200222-2-2-22-2222-2222-222-2-2-2-2-2-22002-222-2-2-2000000000000000000000000000000000000000000002-22-200222-2-2-22-2222-2222-222-2-2-2-2-2-22002-222-2-2-2000000000000000000000000000000000000000000002-22-200
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χ2722-22-2-2-22222-22-2-22-2-222-2-2-222002-2-2-222-2000000000000000000000000000000000000000000002i−2i−2i2i0022-22-2-2-22222-22-2-22-2-222-2-2-222002-2-2-222-2000000000000000000000000000000000000000000002i−2i−2i2i0022-22-2-2-22222-22-2-22-2-222-2-2-222002-2-2-222-2000000000000000000000000000000000000000000002i−2i−2i2i00
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χ3022-2-222-2-22-122-1-2-2-211112-1-1-2-12-2-1-11111-122-2-2-1-111-1-1-1-11111-2-2220000-220011-1-111-1-10000000000000022-2-222-2-22-122-1-2-2-211112-1-1-2-12-2-1-11111-122-2-2-1-111-1-1-1-11111-2-2220000-220011-1-111-1-10000000000000022-2-222-2-22-122-1-2-2-211112-1-1-2-12-2-1-11111-122-2-2-1-111-1-1-1-11111-2-2220000-220011-1-111-1-100000000000000
χ3122-2-222-2-22-122-1-2-2-211112-1-1-2-1-22-1-11111-1-2-22211-1-11111-1-1-1-122-2-20000-2200-1-11111-1-10000000000000022-2-222-2-22-122-1-2-2-211112-1-1-2-1-22-1-11111-1-2-22211-1-11111-1-1-1-122-2-20000-2200-1-11111-1-10000000000000022-2-222-2-22-122-1-2-2-211112-1-1-2-1-22-1-11111-1-2-22211-1-11111-1-1-1-122-2-20000-2200-1-11111-1-100000000000000
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χ9611-1-111-1-111111-1-1-1-1-1-1-1111-111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111−i−iii-11−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11−ζ11
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χ101222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i3001−i321−i321−i321−i321−i321−i321−i321−i3200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i3001+i321+i321+i321+i321+i321+i321+i321+i3200000000000000
χ102222222222-122-1222-1-1-1-12-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−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−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+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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χ104222222222-122-1222-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2000022001111-1-1-1-100000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+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−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−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
χ10522222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−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−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+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
χ10622222222-12-1-12-1-1-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−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−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+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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χ10822222222-12-1-12-1-1-12222-122-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-20022000000001111-1-1-1-1000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i31−i31−i31−i300−1+i3−1+i300000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i31+i31+i31+i300−1−i3−1−i300000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.