Finite Group Databasebeta

← Group #13166854

Character table — Group #13166854

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111144444444666666669999121212121212121218181818111144444444666666669999121212121212121218181818111144444444666666669999121212121212121218181818111144444444666666669999121212121212121218181818111144444444666666669999121212121212121218181818111144444444666666669999121212121212121218181818
order122233666666444444442222121212121212121244443666336666661212121212121212666612121212121212121212121236663366666612121212121212126666121212121212121212121212222266666666444444442222121212121212121244446666666666661212121212121212666612121212121212121212121266666666666612121212121212126666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511-1-11111-1-1-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-1-11ii−i−iii−i−i11-1-1
χ611-1-11111-1-1-1-1ii−i−i−i−iii1-1-11ii−i−i−i−iii-1-11111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11ii−i−i−i−iii-1-11111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11ii−i−i−i−iii-1-11111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11ii−i−i−i−iii-1-11111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11ii−i−i−i−iii-1-11111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11ii−i−i−i−iii-1-111
χ711-1-11111-1-1-1-1−i−iiiii−i−i1-1-11−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11−i−iiiii−i−i-1-11111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11−i−iiiii−i−i-1-111
χ811-1-11111-1-1-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1-11−i−iii−i−iii11-1-1
χ91-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i
χ101-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii
χ111-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii
χ121-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i
χ131-1-1111-1-1-11-11i−i−ii1-1-111-11-1i−i−ii1-1-11−iii−i1-1-1111-1-1-11-11i−i−ii1-1-111-11-1i−i−ii1-1-11−iii−i1-1-1111-1-1-11-11i−i−ii1-1-111-11-1i−i−ii1-1-11−iii−i1-1-1111-1-1-11-11i−i−ii1-1-111-11-1i−i−ii1-1-11−iii−i1-1-1111-1-1-11-11i−i−ii1-1-111-11-1i−i−ii1-1-11−iii−i1-1-1111-1-1-11-11i−i−ii1-1-111-11-1i−i−ii1-1-11−iii−i
χ141-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii
χ151-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii
χ161-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i
χ1722222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-2000000000000
χ1822-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-2000000000000
χ192-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-222000000000000
χ202-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-22000000000000
χ2144441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-10000
χ2244441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-20000000011110000
χ234444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-100000000
χ244444-21-21-211-2-2-2-2-2000000001111000000004444-21-21-211-2-2-2-2-2000000001111000000004444-21-21-211-2-2-2-2-2000000001111000000004444-21-21-211-2-2-2-2-2000000001111000000004444-21-21-211-2-2-2-2-2000000001111000000004444-21-21-211-2-2-2-2-200000000111100000000
χ2544-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii000044-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii000044-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii000044-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii000044-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii000044-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii0000
χ2644-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i000044-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i000044-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i000044-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i000044-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i000044-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i0000
χ2744-4-4-21-212-1-122i2i−2i−2i00000000−i−iii0000000044-4-4-21-212-1-122i2i−2i−2i00000000−i−iii0000000044-4-4-21-212-1-122i2i−2i−2i00000000−i−iii0000000044-4-4-21-212-1-122i2i−2i−2i00000000−i−iii0000000044-4-4-21-212-1-122i2i−2i−2i00000000−i−iii0000000044-4-4-21-212-1-122i2i−2i−2i00000000−i−iii00000000
χ2844-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i0000000044-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i0000000044-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i0000000044-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i0000000044-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i0000000044-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i00000000
χ294-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii00004-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii00004-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii00004-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii00004-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii00004-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii0000
χ304-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i00004-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i00004-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i00004-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i00004-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i00004-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i0000
χ314-44-4-212-1-2-1122-22-200000000-11-11000000004-44-4-212-1-2-1122-22-200000000-11-11000000004-44-4-212-1-2-1122-22-200000000-11-11000000004-44-4-212-1-2-1122-22-200000000-11-11000000004-44-4-212-1-2-1122-22-200000000-11-11000000004-44-4-212-1-2-1122-22-200000000-11-1100000000
χ324-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-100000000
χ334-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-10000
χ344-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-110000
χ354-4-44-212-121-1-22i−2i−2i2i00000000−iii−i000000004-4-44-212-121-1-22i−2i−2i2i00000000−iii−i000000004-4-44-212-121-1-22i−2i−2i2i00000000−iii−i000000004-4-44-212-121-1-22i−2i−2i2i00000000−iii−i000000004-4-44-212-121-1-22i−2i−2i2i00000000−iii−i000000004-4-44-212-121-1-22i−2i−2i2i00000000−iii−i00000000
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χ1171-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i1-11-111-1-11-11-11-11-1i−ii−i11-1-11-11-1i−ii−ii−ii−i-11-11-1-111-11-11-11-11−ii−ii-1-111-11-11−ii−ii−ii−ii-11-11-1-111-11-11-11-11−ii−ii-1-111-11-11−ii−ii−ii−ii-11-11-1-111-11-11-11-11−ii−ii-1-111-11-11−ii−ii−ii−ii
χ1181-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii1-11-111-1-11-11-11-11-1−ii−ii11-1-11-11-1−ii−ii−ii−ii-11-11-1-111-11-11-11-11i−ii−i-1-111-11-11i−ii−ii−ii−i-11-11-1-111-11-11-11-11i−ii−i-1-111-11-11i−ii−ii−ii−i-11-11-1-111-11-11-11-11i−ii−i-1-111-11-11i−ii−ii−ii−i
χ1191-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii1-11-111-1-11-11-1-11-11i−ii−i11-1-1-11-11i−ii−i−ii−ii-11-11-1-111-11-111-11-1−ii−ii-1-1111-11-1−ii−iii−ii−i-11-11-1-111-11-111-11-1−ii−ii-1-1111-11-1−ii−iii−ii−i-11-11-1-111-11-111-11-1−ii−ii-1-1111-11-1−ii−iii−ii−i
χ1201-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i1-11-111-1-11-11-1-11-11−ii−ii11-1-1-11-11−ii−iii−ii−i-11-11-1-111-11-111-11-1i−ii−i-1-1111-11-1i−ii−i−ii−ii-11-11-1-111-11-111-11-1i−ii−i-1-1111-11-1i−ii−i−ii−ii-11-11-1-111-11-111-11-1i−ii−i-1-1111-11-1i−ii−i−ii−ii
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χ1221-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii1-1-1111-1-1-11-11i−i−ii-111-11-11-1i−i−ii-111-1i−i−ii-111-1-1-1111-11-1−iii−i1-1-11-11-11−iii−i1-1-11−iii−i-111-1-1-1111-11-1−iii−i1-1-11-11-11−iii−i1-1-11−iii−i-111-1-1-1111-11-1−iii−i1-1-11-11-11−iii−i1-1-11−iii−i
χ1231-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii1-1-1111-1-1-11-11−iii−i1-1-111-11-1−iii−i1-1-11i−i−ii-111-1-1-1111-11-1i−i−ii-111-1-11-11i−i−ii-111-1−iii−i-111-1-1-1111-11-1i−i−ii-111-1-11-11i−i−ii-111-1−iii−i-111-1-1-1111-11-1i−i−ii-111-1-11-11i−i−ii-111-1−iii−i
χ1241-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i1-1-1111-1-1-11-11−iii−i-111-11-11-1−iii−i-111-1−iii−i-111-1-1-1111-11-1i−i−ii1-1-11-11-11i−i−ii1-1-11i−i−ii-111-1-1-1111-11-1i−i−ii1-1-11-11-11i−i−ii1-1-11i−i−ii-111-1-1-1111-11-1i−i−ii1-1-11-11-11i−i−ii1-1-11i−i−ii
χ12522222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-200000000000022222222222200000000-2-2-2-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000
χ12622-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-200000000000022-2-22222-2-2-2-200000000-222-2000000000000-2-222-2-2-2-22222000000002-2-22000000000000-2-222-2-2-2-22222000000002-2-22000000000000-2-222-2-2-2-22222000000002-2-22000000000000
χ1272-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-2220000000000002-22-222-2-22-22-200000000-2-222000000000000-22-22-2-222-22-220000000022-2-2000000000000-22-22-2-222-22-220000000022-2-2000000000000-22-22-2-222-22-220000000022-2-2000000000000
χ1282-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-220000000000002-2-2222-2-2-22-2200000000-22-22000000000000-222-2-2-2222-22-2000000002-22-2000000000000-222-2-2-2222-22-2000000002-22-2000000000000-222-2-2-2222-22-2000000002-22-2000000000000
χ12944441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-1000044441-21-21-2-210000222200000000-1-1-1-10000-4-4-4-4-12-12-122-10000-2-2-2-20000000011110000-4-4-4-4-12-12-122-10000-2-2-2-20000000011110000-4-4-4-4-12-12-122-10000-2-2-2-20000000011110000
χ13044441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-2000000001111000044441-21-21-2-210000-2-2-2-20000000011110000-4-4-4-4-12-12-122-10000222200000000-1-1-1-10000-4-4-4-4-12-12-122-10000222200000000-1-1-1-10000-4-4-4-4-12-12-122-10000222200000000-1-1-1-10000
χ1314444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-1000000004444-21-21-211-2222200000000-1-1-1-100000000-4-4-4-42-12-12-1-12-2-2-2-200000000111100000000-4-4-4-42-12-12-1-12-2-2-2-200000000111100000000-4-4-4-42-12-12-1-12-2-2-2-200000000111100000000
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χ1404-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-1000000004-44-4-212-1-2-112-22-22000000001-11-100000000-44-442-1-2121-1-22-22-200000000-11-1100000000-44-442-1-2121-1-22-22-200000000-11-1100000000-44-442-1-2121-1-22-22-200000000-11-1100000000
χ1414-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-100004-4-441-2-12-1-22100002-2-2200000000-111-10000-444-4-121-212-2-10000-222-2000000001-1-110000-444-4-121-212-2-10000-222-2000000001-1-110000-444-4-121-212-2-10000-222-2000000001-1-110000
χ1424-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-1100004-4-441-2-12-1-2210000-222-2000000001-1-110000-444-4-121-212-2-100002-2-2200000000-111-10000-444-4-121-212-2-100002-2-2200000000-111-10000-444-4-121-212-2-100002-2-2200000000-111-10000
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χ1461111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
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χ148111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ2044444-21-21-211-2-2-2-2-200000000111100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i3200000000-4-4-4-42-12-12-1-12222200000000-1-1-1-1000000002+2i32+2i32+2i32+2i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i32000000002−2i32−2i32−2i32−2i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i3200000000
χ20544-4-41-21-2-122-100002i2i−2i−2i00000000−i−iii0000−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i3−1−i31+i3200002ζ112ζ11−2ζ11−2ζ1100000000−ζ11−ζ11ζ11ζ110000−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i3−1+i31−i3200002ζ72ζ7−2ζ7−2ζ700000000−ζ7−ζ7ζ7ζ70000-4-444-12-121-2-210000−2i−2i2i2i00000000ii−i−i00002+2i32+2i3−2−2i3−2−2i31+i32−1−i31+i32−1−i3−1−i321+i31+i3−1−i320000−2ζ11−2ζ112ζ112ζ1100000000ζ11ζ11−ζ11−ζ1100002−2i32−2i3−2+2i3−2+2i31−i32−1+i31−i32−1+i3−1+i321−i31−i3−1+i320000−2ζ7−2ζ72ζ72ζ700000000ζ7ζ7−ζ7−ζ70000
χ20644-4-41-21-2-122-10000−2i−2i2i2i00000000ii−i−i0000−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i3−1−i31+i320000−2ζ11−2ζ112ζ112ζ1100000000ζ11ζ11−ζ11−ζ110000−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i3−1+i31−i320000−2ζ7−2ζ72ζ72ζ700000000ζ7ζ7−ζ7−ζ70000-4-444-12-121-2-2100002i2i−2i−2i00000000−i−iii00002+2i32+2i3−2−2i3−2−2i31+i32−1−i31+i32−1−i3−1−i321+i31+i3−1−i3200002ζ112ζ11−2ζ11−2ζ1100000000−ζ11−ζ11ζ11ζ1100002−2i32−2i3−2+2i3−2+2i31−i32−1+i31−i32−1+i3−1+i321−i31−i3−1+i3200002ζ72ζ7−2ζ7−2ζ700000000−ζ7−ζ7ζ7ζ70000
χ20744-4-4-21-212-1-122i2i−2i−2i00000000−i−iii00000000−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i321+i32−1−i32ζ112ζ11−2ζ11−2ζ1100000000−ζ11−ζ11ζ11ζ1100000000−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i321−i32−1+i32ζ72ζ7−2ζ7−2ζ700000000−ζ7−ζ7ζ7ζ700000000-4-4442-12-1-211-2−2i−2i2i2i00000000ii−i−i000000002+2i32+2i3−2−2i3−2−2i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3−2ζ11−2ζ112ζ112ζ1100000000ζ11ζ11−ζ11−ζ11000000002−2i32−2i3−2+2i3−2+2i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i3−2ζ7−2ζ72ζ72ζ700000000ζ7ζ7−ζ7−ζ700000000
χ20844-4-4-21-212-1-12−2i−2i2i2i00000000ii−i−i00000000−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i321+i32−1−i3−2ζ11−2ζ112ζ112ζ1100000000ζ11ζ11−ζ11−ζ1100000000−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i321−i32−1+i3−2ζ7−2ζ72ζ72ζ700000000ζ7ζ7−ζ7−ζ700000000-4-4442-12-1-211-22i2i−2i−2i00000000−i−iii000000002+2i32+2i3−2−2i3−2−2i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32ζ112ζ11−2ζ11−2ζ1100000000−ζ11−ζ11ζ11ζ11000000002−2i32−2i3−2+2i3−2+2i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32ζ72ζ7−2ζ7−2ζ700000000−ζ7−ζ7ζ7ζ700000000
χ2094-44-41-2-1212-2-100002i−2i2i−2i00000000−ii−ii0000−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i3−1−i32−1−i31+i31+i3200002ζ11−2ζ112ζ11−2ζ1100000000−ζ11ζ11−ζ11ζ110000−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i3−1+i32−1+i31−i31−i3200002ζ7−2ζ72ζ7−2ζ700000000−ζ7ζ7−ζ7ζ70000-44-44-121-2-1-2210000−2i2i−2i2i00000000i−ii−i00002+2i3−2−2i32+2i3−2−2i31+i32−1−i3−1−i321+i31+i321+i3−1−i3−1−i320000−2ζ112ζ11−2ζ112ζ1100000000ζ11−ζ11ζ11−ζ1100002−2i3−2+2i32−2i3−2+2i31−i32−1+i3−1+i321−i31−i321−i3−1+i3−1+i320000−2ζ72ζ7−2ζ72ζ700000000ζ7−ζ7ζ7−ζ70000
χ2104-44-41-2-1212-2-10000−2i2i−2i2i00000000i−ii−i0000−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i3−1−i32−1−i31+i31+i320000−2ζ112ζ11−2ζ112ζ1100000000ζ11−ζ11ζ11−ζ110000−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i3−1+i32−1+i31−i31−i320000−2ζ72ζ7−2ζ72ζ700000000ζ7−ζ7ζ7−ζ70000-44-44-121-2-1-22100002i−2i2i−2i00000000−ii−ii00002+2i3−2−2i32+2i3−2−2i31+i32−1−i3−1−i321+i31+i321+i3−1−i3−1−i3200002ζ11−2ζ112ζ11−2ζ1100000000−ζ11ζ11−ζ11ζ1100002−2i3−2+2i32−2i3−2+2i31−i32−1+i3−1+i321−i31−i321−i3−1+i3−1+i3200002ζ7−2ζ72ζ7−2ζ700000000−ζ7ζ7−ζ7ζ70000
χ2114-44-4-212-1-2-1122-22-200000000-11-1100000000−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i321+i31+i32−1−i32−1−i3−1−i31+i3−1−i31+i3000000001+i32−1−i321+i32−1−i3200000000−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i321−i31−i32−1+i32−1+i3−1+i31−i3−1+i31−i3000000001−i32−1+i321−i32−1+i3200000000-44-442-1-2121-1-2-22-22000000001-11-1000000002+2i3−2−2i32+2i3−2−2i3−1−i31+i321+i3−1−i32−1−i3−1−i321+i321+i31+i3−1−i31+i3−1−i300000000−1−i321+i32−1−i321+i32000000002−2i3−2+2i32−2i3−2+2i3−1+i31−i321−i3−1+i32−1+i3−1+i321−i321−i31−i3−1+i31−i3−1+i300000000−1+i321−i32−1+i321−i3200000000
χ2124-44-4-212-1-2-112-22-22000000001-11-100000000−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i321+i31+i32−1−i32−1−i31+i3−1−i31+i3−1−i300000000−1−i321+i32−1−i321+i3200000000−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i321−i31−i32−1+i32−1+i31−i3−1+i31−i3−1+i300000000−1+i321−i32−1+i321−i3200000000-44-442-1-2121-1-22-22-200000000-11-11000000002+2i3−2−2i32+2i3−2−2i3−1−i31+i321+i3−1−i32−1−i3−1−i321+i321+i3−1−i31+i3−1−i31+i3000000001+i32−1−i321+i32−1−i32000000002−2i3−2+2i32−2i3−2+2i3−1+i31−i321−i3−1+i32−1+i3−1+i321−i321−i3−1+i31−i3−1+i31−i3000000001−i32−1+i321−i32−1+i3200000000
χ2134-4-441-2-12-1-22100002-2-2200000000-111-10000−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i31+i321+i3−1−i3−1−i320000−1−i31+i31+i3−1−i3000000001+i32−1−i32−1−i321+i320000−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i31−i321−i3−1+i3−1+i320000−1+i31−i31−i3−1+i3000000001−i32−1+i32−1+i321−i320000-444-4-121-212-2-10000-222-2000000001-1-1100002+2i3−2−2i3−2−2i32+2i31+i32−1−i3−1−i321+i3−1−i32−1−i31+i31+i3200001+i3−1−i3−1−i31+i300000000−1−i321+i321+i32−1−i3200002−2i3−2+2i3−2+2i32−2i31−i32−1+i3−1+i321−i3−1+i32−1+i31−i31−i3200001−i3−1+i3−1+i31−i300000000−1+i321−i321−i32−1+i320000
χ2144-4-441-2-12-1-2210000-222-2000000001-1-110000−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i31+i321+i3−1−i3−1−i3200001+i3−1−i3−1−i31+i300000000−1−i321+i321+i32−1−i320000−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i31−i321−i3−1+i3−1+i3200001−i3−1+i3−1+i31−i300000000−1+i321−i321−i32−1+i320000-444-4-121-212-2-100002-2-2200000000-111-100002+2i3−2−2i3−2−2i32+2i31+i32−1−i3−1−i321+i3−1−i32−1−i31+i31+i320000−1−i31+i31+i3−1−i3000000001+i32−1−i32−1−i321+i3200002−2i3−2+2i3−2+2i32−2i31−i32−1+i3−1+i321−i3−1+i32−1+i31−i31−i320000−1+i31−i31−i3−1+i3000000001−i32−1+i32−1+i321−i320000
χ2154-4-44-212-121-1-22i−2i−2i2i00000000−iii−i00000000−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i32−1−i3−1−i321+i321+i32ζ11−2ζ11−2ζ112ζ1100000000−ζ11ζ11ζ11−ζ1100000000−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i32−1+i3−1+i321−i321−i32ζ7−2ζ7−2ζ72ζ700000000−ζ7ζ7ζ7−ζ700000000-444-42-1-21-2-112−2i2i2i−2i00000000i−i−ii000000002+2i3−2−2i3−2−2i32+2i3−1−i31+i321+i3−1−i321+i31+i32−1−i32−1−i3−2ζ112ζ112ζ11−2ζ1100000000ζ11−ζ11−ζ11ζ11000000002−2i3−2+2i3−2+2i32−2i3−1+i31−i321−i3−1+i321−i31−i32−1+i32−1+i3−2ζ72ζ72ζ7−2ζ700000000ζ7−ζ7−ζ7ζ700000000
χ2164-4-44-212-121-1-2−2i2i2i−2i00000000i−i−ii00000000−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i32−1−i3−1−i321+i321+i3−2ζ112ζ112ζ11−2ζ1100000000ζ11−ζ11−ζ11ζ1100000000−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i32−1+i3−1+i321−i321−i3−2ζ72ζ72ζ7−2ζ700000000ζ7−ζ7−ζ7ζ700000000-444-42-1-21-2-1122i−2i−2i2i00000000−iii−i000000002+2i3−2−2i3−2−2i32+2i3−1−i31+i321+i3−1−i321+i31+i32−1−i32−1−i32ζ11−2ζ11−2ζ112ζ1100000000−ζ11ζ11ζ11−ζ11000000002−2i3−2+2i3−2+2i32−2i3−1+i31−i321−i3−1+i321−i31−i32−1+i32−1+i32ζ7−2ζ7−2ζ72ζ700000000−ζ7ζ7ζ7−ζ700000000

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