Finite Group Databasebeta

← Group #13181108

Character table — Group #13181108

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11224444444466666688991212121212121818181836365454112244444444666666889912121212121218181818363654541122444444446666668899121212121212181818183636545411224444444466666688991212121212121818181836365454
order1236333366664412121212362212121212121222666644226666666666441212121266221212121212122266664422666666666644121212126622121212121212226666442266666666664412121212662212121212121222666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1
χ3111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ4111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ51-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i
χ61-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii
χ71-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii
χ81-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i
χ922222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-20000
χ1022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000
χ1122-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000
χ1222-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000
χ1322-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-1000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-1000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-1000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-10000
χ142-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-220000
χ152-2-112-1-12-2-211003−3−33-11-2203−30−33001-100002-2-112-1-12-2-211003−3−33-11-2203−30−33001-100002-2-112-1-12-2-211003−3−33-11-2203−30−33001-100002-2-112-1-12-2-211003−3−33-11-2203−30−33001-10000
χ162-2-112-1-12-2-21100−333−3-11-220−3303−3001-100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-10000
χ172-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-1100002-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-1100002-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-1100002-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-110000
χ182-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-1100002-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-1100002-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-1100002-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-110000
χ194444111-2-2111222222-2-200-1-1-1-1-1-1000000004444111-2-2111222222-2-200-1-1-1-1-1-1000000004444111-2-2111222222-2-200-1-1-1-1-1-1000000004444111-2-2111222222-2-200-1-1-1-1-1-100000000
χ204444111-2-2111-2-2-2-2-2-2-2-200111111000000004444111-2-2111-2-2-2-2-2-2-2-200111111000000004444111-2-2111-2-2-2-2-2-2-2-200111111000000004444111-2-2111-2-2-2-2-2-2-2-20011111100000000
χ214444-2-2-211-2-2-200000011000000002200-1-1004444-2-2-211-2-2-200000011000000002200-1-1004444-2-2-211-2-2-200000011000000002200-1-1004444-2-2-211-2-2-200000011000000002200-1-100
χ224444-2-2-211-2-2-20000001100000000-2-20011004444-2-2-211-2-2-20000001100000000-2-20011004444-2-2-211-2-2-20000001100000000-2-20011004444-2-2-211-2-2-20000001100000000-2-2001100
χ2344-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i3200000000
χ2444-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i3200000000
χ2544-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000
χ2644-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000
χ274-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii00000000
χ284-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i00000000
χ294-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-1100
χ304-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-100
χ314-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ700000000
χ324-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000
χ334-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000
χ344-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000
χ3588-4-4-42222-422000000-1-1000000000000000088-4-4-42222-422000000-1-1000000000000000088-4-4-42222-422000000-1-1000000000000000088-4-4-42222-422000000-1-10000000000000000
χ368-8-44-4222-24-2-2000000-1100000000000000008-8-44-4222-24-2-2000000-1100000000000000008-8-44-4222-24-2-2000000-1100000000000000008-8-44-4222-24-2-2000000-110000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ39111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111
χ40111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1
χ411-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii-11-11-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii-11-11-11−ii
χ421-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii1-1-111-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii1-1-111-1i−i
χ431-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i-11-11-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i-11-11-11i−i
χ441-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i1-1-111-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i1-1-111-1−ii
χ4522222222222200000022-2-200000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-2220000000022000022222222222200000022-2-200000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-22200000000220000
χ4622-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000-2-211-211-2-2-21100i3−i3i3−i311220i3−i30i3−i300-1-1000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000-2-211-211-2-2-21100i3−i3i3−i311220i3−i30i3−i300-1-10000
χ4722-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000-2-211-211-2-2-21100−i3i3−i3i311220−i3i30−i3i300-1-1000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000-2-211-211-2-2-21100−i3i3−i3i311220−i3i30−i3i300-1-10000
χ4822-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-211-2-2-211-2-2111111-2-2-211-2110011000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-211-2-2-211-2-2111111-2-2-211-21100110000
χ4922-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-10000-2-211-211-2-2-21122-1-1-1-111-2-22-1-12-1-10011000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-10000-2-211-211-2-2-21122-1-1-1-111-2-22-1-12-1-100110000
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χ741111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
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χ8422-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-211-2-2-211-2-2111111-2-2-211-21100110000-2-211-211-2-2-211-2-2111111-2-2-211-21100110000
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χ1014-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-1100-44-44222-11-2-2-2000000-1100000000-22001-100-44-44222-11-2-2-2000000-1100000000-22001-100
χ1024-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-100-44-44222-11-2-2-2000000-11000000002-200-1100-44-44222-11-2-2-2000000-11000000002-200-1100
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χ1101111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111-1-111-1-1-1-1
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ112111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
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χ1141-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii1-1-111-1i−i-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii1-1-111-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii
χ1151-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i-11-11-11i−i-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i-11-11-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii
χ1161-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i1-1-111-1−ii-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i1-1-111-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i
χ11722222222222200000022-2-200000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-22200000000220000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-2220000000022000022222222222200000022-2-200000000-2-20000
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χ11922-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000-2-211-211-2-2-21100−i3i3−i3i311220−i3i30−i3i300-1-10000-2-211-211-2-2-21100−i3i3−i3i311220−i3i30−i3i300-1-1000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000
χ12022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-211-2-2-211-2-2111111-2-2-211-21100110000-2-211-211-2-2-211-2-2111111-2-2-211-2110011000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000
χ12122-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-10000-2-211-211-2-2-21122-1-1-1-111-2-22-1-12-1-100110000-2-211-211-2-2-21122-1-1-1-111-2-22-1-12-1-10011000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-10000
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χ1242-2-112-1-12-2-21100−333−3-11-220−3303−3001-10000-221-1-211-222-1-1003−3−331-12-203−30−3300-110000-221-1-211-222-1-1003−3−331-12-203−30−3300-1100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-10000
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χ1284444111-2-2111-2-2-2-2-2-2-2-20011111100000000-4-4-4-4-1-1-122-1-1-12222222200-1-1-1-1-1-100000000-4-4-4-4-1-1-122-1-1-12222222200-1-1-1-1-1-1000000004444111-2-2111-2-2-2-2-2-2-2-20011111100000000
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χ1384-44-4-2-2-21-12220000001-100000000-22001-100-44-44222-11-2-2-2000000-11000000002-200-1100-44-44222-11-2-2-2000000-11000000002-200-11004-44-4-2-2-21-12220000001-100000000-22001-100
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χ1404-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000-442-2-11+3i321−3i322-21−1−3i32−1+3i322i−2i2ζ112ζ7−2ζ11−2ζ7-1100−i−ζ11−ζ7iζ11ζ700000000-442-2-11+3i321−3i322-21−1−3i32−1+3i322i−2i2ζ112ζ7−2ζ11−2ζ7-1100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000
χ1414-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000-442-2-11−3i321+3i322-21−1+3i32−1−3i32−2i2i−2ζ7−2ζ112ζ72ζ11-1100iζ7ζ11−i−ζ7−ζ1100000000-442-2-11−3i321+3i322-21−1+3i32−1−3i32−2i2i−2ζ7−2ζ112ζ72ζ11-1100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000
χ1424-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000-442-2-11−3i321+3i322-21−1+3i32−1−3i322i−2i2ζ72ζ11−2ζ7−2ζ11-1100−i−ζ7−ζ11iζ7ζ1100000000-442-2-11−3i321+3i322-21−1+3i32−1−3i322i−2i2ζ72ζ11−2ζ7−2ζ11-1100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000
χ14388-4-4-42222-422000000-1-10000000000000000-8-8444-2-2-2-24-2-2000000110000000000000000-8-8444-2-2-2-24-2-200000011000000000000000088-4-4-42222-422000000-1-10000000000000000
χ1448-8-44-4222-24-2-2000000-110000000000000000-884-44-2-2-22-4220000001-10000000000000000-884-44-2-2-22-4220000001-100000000000000008-8-44-4222-24-2-2000000-110000000000000000

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