Finite Group Databasebeta

← Group #72246486

Character table — Group #72246486

Order 3528.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11223333666666666666666666666666666666666666666666666621214949494963636363989898981471471471471122333366666666666666666666666666666666666666666666662121494949496363636398989898147147147147
order12367714147777777141414141414142121212121212121212121212121212142424242424242424242424242424242443366282828283366121212122266141414141414141414141414141414141414424242424242424242424242424242424242424242424242424242424242424244666628282828666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32111111111111111111111111111111111111111111111111111111-1-1−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ6111111111111111111111111111111111111111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32111111111111111111111111111111111111111111111111111111-1-1−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ71-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i11-1-1ii−i−i11-1-1i−ii−i1-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i11-1-1ii−i−i11-1-1i−ii−i
χ81-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−1−i32−1+i321+i321−i32ii−i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−1−i32−1+i321+i321−i32ii−i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ91-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−1+i32−1−i321−i321+i32ii−i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−1+i32−1−i321−i321+i32ii−i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ101-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii11-1-1−i−iii11-1-1−ii−ii1-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii11-1-1−i−iii11-1-1−ii−ii
χ111-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−1−i32−1+i321+i321−i32−i−iii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−1−i32−1+i321+i321−i32−i−iii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ121-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−1+i32−1−i321−i321+i32−i−iii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-111-1-11111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−1+i32−1−i321−i321+i32−i−iii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ1322-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1000022-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-10000
χ1422-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i32000022-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−1−i3−1+i3−1−i3−1+i300001+i321−i321+i321−i320000
χ1522-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i32000022-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100−1+i3−1−i3−1+i3−1−i300001−i321+i321−i321+i320000
χ162-2-1122-2-22222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110022-2-20000-1-11100002-2-1122-2-22222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110022-2-20000-1-1110000
χ172-2-1122-2-22222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200002-2-1122-2-22222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i320000
χ182-2-1122-2-22222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200002-2-1122-2-22222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i320000
χ193333−1−i72−1+i72−1−i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72330000−1−i72−1+i72−1−i72−1+i72000000003333−1−i72−1+i72−1−i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72330000−1−i72−1+i72−1−i72−1+i7200000000
χ203333−1−i72−1+i72−1−i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72-3-300001+i721−i721+i721−i72000000003333−1−i72−1+i72−1−i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72-3-300001+i721−i721+i721−i7200000000
χ213333−1+i72−1−i72−1+i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72330000−1+i72−1−i72−1+i72−1−i72000000003333−1+i72−1−i72−1+i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72330000−1+i72−1−i72−1+i72−1−i7200000000
χ223333−1+i72−1−i72−1+i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72-3-300001−i721+i721−i721+i72000000003333−1+i72−1−i72−1+i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i723−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i7233−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72-3-300001−i721+i721−i721+i7200000000
χ233-33-3−1−i72−1+i721+i721−i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72-31+i721+i721+i721−i721−i721−i72−1−i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72-3-31+i721+i721+i721+i721+i721+i721+i721−i721−i721−i721−i721−i721−i721−i723i−3i0000ζ11+ζ23+ζ43+ζ67+ζ71+ζ79ζ19+ζ31+ζ47+ζ55+ζ59+ζ83−ζ11−ζ23−ζ43−ζ67−ζ71−ζ79−ζ19−ζ31−ζ47−ζ55−ζ59−ζ83000000003-33-3−1−i72−1+i721+i721−i723−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72-31+i721+i721+i721−i721−i721−i72−1−i72−1+i7233−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72-3-31+i721+i721+i721+i721+i721+i721+i721−i721−i721−i721−i721−i721−i721−i723i−3i0000ζ11+ζ23+ζ43+ζ67+ζ71+ζ79ζ19+ζ31+ζ47+ζ55+ζ59+ζ83−ζ11−ζ23−ζ43−ζ67−ζ71−ζ79−ζ19−ζ31−ζ47−ζ55−ζ59−ζ8300000000
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χ1416-6-33−1+i7−1−i71−i71+i7-1−1−i7-15+i72−1+i75−i72-111+i71−5−i721−i7−5+i7211−i721+i721+2121−2121+i721+i721−2121+2123ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ823ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ821−i721−i723ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ74−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ821−2121+212−1−212−1+212−1+i72−1−i72−1−i72−1+212−1−212−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−1−i72−1+i72−1+i72−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−1+212−1−212000000000000000000-663-31−i71+i7−1+i7−1−i711+i71−5−i721−i7−5+i721-1−1−i7-15+i72−1+i75−i72-1−1+i72−1−i72−1−212−1+212−1−i72−1−i72−1+212−1−212−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−1+i72−1+i72−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−1+212−1−2121+2121−2121−i721+i721+i721−2121+2123ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ823ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ821+i721−i721−i723ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ74−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ821−2121+212000000000000000000
χ1426-6-33−1+i7−1−i71−i71+i7-1−1−i7-15+i72−1+i75−i72-111+i71−5−i721−i7−5+i7211−i721+i721−2121+2121+i721+i721+2121−2123ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ823ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ821−i721−i72−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ823ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ741+2121−212−1+212−1−212−1+i72−1−i72−1−i72−1−212−1+212−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−1−i72−1+i72−1+i72ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74−1−212−1+212000000000000000000-663-31−i71+i7−1+i7−1−i711+i71−5−i721−i7−5+i721-1−1−i7-15+i72−1+i75−i72-1−1+i72−1−i72−1+212−1−212−1−i72−1−i72−1−212−1+212−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−1+i72−1+i72ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74−1−212−1+2121−2121+2121−i721+i721+i721+2121−2123ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ823ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ821+i721−i721−i72−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ823ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ741+2121−212000000000000000000
χ1436-6-33−1+i7−1−i71−i71+i7-15+i72−1−i7-15−i72-1−1+i71−5−i721+i71−5+i7211−i71−i721+i721+2121−2123ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ823ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ821+i721+i721−2121+2123ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ74−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ821−2121+2121−i721−i72−1−212−1+212−1+i72−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−1−i72−1−i72−1+212−1−212−1−i72−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−1+212−1−212−1+i72−1+i72000000000000000000-663-31−i71+i7−1+i7−1−i71−5−i721+i71−5+i7211−i7-15+i72−1−i7-15−i72-1−1+i7−1+i72−1−i72−1−212−1+212−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−1−i72−1−i72−1+212−1−212−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−1+212−1−212−1+i72−1+i721+2121−2121−i723ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ823ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ821+i721+i721−2121+2121+i723ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ74−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ821−2121+2121−i721−i72000000000000000000
χ1446-6-33−1+i7−1−i71−i71+i7-15+i72−1−i7-15−i72-1−1+i71−5−i721+i71−5+i7211−i71−i721+i721−2121+2123ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ823ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ821+i721+i721+2121−212−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ823ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ741+2121−2121−i721−i72−1+212−1−212−1+i72−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−1−i72−1−i72−1−212−1+212−1−i72ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74−1−212−1+212−1+i72−1+i72000000000000000000-663-31−i71+i7−1+i7−1−i71−5−i721+i71−5+i7211−i7-15+i72−1−i7-15−i72-1−1+i7−1+i72−1−i72−1+212−1−212−3ζ2+ζ10−3ζ26+ζ34−3ζ38−3ζ50−3ζ62−3ζ74+ζ82−3ζ10−3ζ22+ζ26−3ζ34+ζ38−3ζ46−3ζ58+ζ62−3ζ82−1−i72−1−i72−1−212−1+212ζ2−3ζ10−3ζ22−3ζ34−3ζ46+ζ50−3ζ58+ζ74−3ζ82−3ζ2+ζ22−3ζ26−3ζ38+ζ46−3ζ50+ζ58−3ζ62−3ζ74−1−212−1+212−1+i72−1+i721−2121+2121−i723ζ2−ζ10+3ζ26−ζ34+3ζ38+3ζ50+3ζ62+3ζ74−ζ823ζ10+3ζ22−ζ26+3ζ34−ζ38+3ζ46+3ζ58−ζ62+3ζ821+i721+i721+2121−2121+i72−ζ2+3ζ10+3ζ22+3ζ34+3ζ46−ζ50+3ζ58−ζ74+3ζ823ζ2−ζ22+3ζ26+3ζ38−ζ46+3ζ50−ζ58+3ζ62+3ζ741+2121−2121−i721−i72000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.