Finite Group Databasebeta

← Group #13054925

Character table — Group #13054925

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111111133333333333333334444444444444477777777777777771212121212121212121212121212121212121212121212121212121228282828282828282828282828282828282828282828282828282828
order1222222277141414141414141414141414141422224444444444336666666666666614141414141414142828282828282828282828282828282828282828666666661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111−1−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+i321111111111111111111111111111−1−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+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
χ311111111111111111111111111111111111111−1+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−i321111111111111111111111111111−1+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−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
χ41111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ51111111111111111111111111111-1-1-1-1-1-111-1-1−1−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+i3211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−1−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−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ61111111111111111111111111111-1-1-1-1-1-111-1-1−1+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−i3211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ711111111111111111111111111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ811111111111111111111111111-1-11111-1-1-1-1-1-1−1−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+i321111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ911111111111111111111111111-1-11111-1-1-1-1-1-1−1+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−i321111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ1011111111111111111111111111-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ1111111111111111111111111111-1-1-1-1-1-111-1-111−1−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+i321111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1211111111111111111111111111-1-1-1-1-1-111-1-111−1+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−i321111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ13111111111111111111111111-1-11111-1-111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1
χ14111111111111111111111111-1-11111-1-111-1-1-1-1−1−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+i32-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ15111111111111111111111111-1-11111-1-111-1-1-1-1−1+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−i32-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ16111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111
χ17111111111111111111111111-1-111-1-111-1-1-1-111−1−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+i32-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ18111111111111111111111111-1-111-1-111-1-1-1-111−1+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−i32-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ19111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111
χ20111111111111111111111111-1-1-1-111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ21111111111111111111111111-1-1-1-111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ22111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1
χ23111111111111111111111111-1-1-1-1-1-1111111-1-1−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ24111111111111111111111111-1-1-1-1-1-1111111-1-1−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ25222-22-2-2-2222222-2-222-2-2-2-2-2-20000000000002i−2i2222-222-22-2-22-2-2-2-20000000000000000000000002i2i−2i−2i00000000000000000000002i−2i002i−2i
χ26222-22-2-2-2222222-2-222-2-2-2-2-2-20000000000002i−2i−1−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i31+i31+i3−1+i31−i31−i31+i31−i30000000000000000000000002i2i−2i−2i00000000000000000000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79
χ27222-22-2-2-2222222-2-222-2-2-2-2-2-20000000000002i−2i−1+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i3−1+i31−i31−i3−1−i31+i31+i31−i31+i30000000000000000000000002i2i−2i−2i00000000000000000000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83
χ28222-22-2-2-2222222-2-222-2-2-2-2-2-2000000000000−2i2i2222-222-22-2-22-2-2-2-2000000000000000000000000−2i−2i2i2i0000000000000000000000−2i2i00−2i2i
χ29222-22-2-2-2222222-2-222-2-2-2-2-2-2000000000000−2i2i−1−i3−1+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i31+i31+i3−1+i31−i31−i31+i31−i3000000000000000000000000−2i−2i2i2i0000000000000000000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79
χ30222-22-2-2-2222222-2-222-2-2-2-2-2-2000000000000−2i2i−1+i3−1−i3−1+i3−1+i31−i3−1−i3−1−i31+i3−1+i31−i31−i3−1−i31+i31+i31−i31+i3000000000000000000000000−2i−2i2i2i0000000000000000000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83
χ3122-22-22-2-22222-2-222-2-222-2-2-2-2000000002i−2i0000222-222-22-22-2-22-2-2-200000000000000002i2i−2i−2i000000000000000000002i−2i00002i−2i00000000
χ3222-22-22-2-22222-2-222-2-222-2-2-2-2000000002i−2i0000−1−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i31−i300000000000000002i2i−2i−2i000000000000000000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ7900000000
χ3322-22-22-2-22222-2-222-2-222-2-2-2-2000000002i−2i0000−1+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i31+i300000000000000002i2i−2i−2i000000000000000000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ7900002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300000000
χ3422-22-22-2-22222-2-222-2-222-2-2-2-200000000−2i2i0000222-222-22-22-2-22-2-2-20000000000000000−2i−2i2i2i00000000000000000000−2i2i0000−2i2i00000000
χ3522-22-22-2-22222-2-222-2-222-2-2-2-200000000−2i2i0000−1−i3−1+i3−1−i31+i3−1−i3−1+i31−i3−1+i31+i3−1−i31+i31−i3−1+i31−i31+i31−i30000000000000000−2i−2i2i2i00000000000000000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ830000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900000000
χ3622-22-22-2-22222-2-222-2-222-2-2-2-200000000−2i2i0000−1+i3−1−i3−1+i31−i3−1+i3−1−i31+i3−1−i31−i3−1+i31−i31+i3−1−i31+i31−i31+i30000000000000000−2i−2i2i2i00000000000000000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300000000
χ3722-2-2-2-2222222-2-2-2-2-2-2-2-222222-2000000000000222-2-22-2-2-2-22-2-222222-2-20000000000000000000000002-2002-20000000000000000000000
χ3822-2-2-2-2222222-2-2-2-2-2-2-2-222222-2000000000000−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i3−1−i31−i31−i3−1+i3−1−i3−1+i322-2-2000000000000000000000000−1−i31+i300−1+i31−i30000000000000000000000
χ3922-2-2-2-2222222-2-2-2-2-2-2-2-222222-2000000000000−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i3−1+i31+i31+i3−1−i3−1+i3−1−i322-2-2000000000000000000000000−1+i31−i300−1−i31+i30000000000000000000000
χ4022-2-2-2-2222222-2-2-2-2-2-2-2-22222-22000000000000222-2-22-2-2-2-22-2-2222-2-222000000000000000000000000-2200-220000000000000000000000
χ4122-2-2-2-2222222-2-2-2-2-2-2-2-22222-22000000000000−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i3−1−i31−i31−i3−1+i3−1−i3−1+i3-2-2220000000000000000000000001+i3−1−i3001−i3−1+i30000000000000000000000
χ4222-2-2-2-2222222-2-2-2-2-2-2-2-22222-22000000000000−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i3−1+i31+i31+i3−1−i3−1+i3−1−i3-2-2220000000000000000000000001−i3−1+i3001+i3−1−i30000000000000000000000
χ432-222-2-22-222-2-22222-2-2-2-222-2-20000002i−2i00000022-222-222-2-22-2-22-2-20000000000002i2i−2i−2i00000000000000000000002i−2i00002i−2i0000000000
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χ9366-6-6-6-666−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i71−i71+i71−i71+i7−1+i7−1−i7−1+i7−1−i76-60000000000000000000000000000−1+i7−1−i71−i71+i70000000000000000000000000000000000000000000000000000
χ9466-6-6-6-666−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i71−i71+i71−i71+i7−1+i7−1−i7−1+i7−1−i7-6600000000000000000000000000001−i71+i7−1+i7−1−i70000000000000000000000000000000000000000000000000000
χ956-666-6-66-6−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i70000006i−6i00000000000000000000000000000000002ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ830000000000000000000000000000000000000000
χ966-666-6-66-6−1−i7−1+i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i7000000−6i6i0000000000000000000000000000000000−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ830000000000000000000000000000000000000000
χ976-666-6-66-6−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i70000006i−6i00000000000000000000000000000000002ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ790000000000000000000000000000000000000000
χ986-666-6-66-6−1+i7−1−i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i7000000−6i6i0000000000000000000000000000000000−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ790000000000000000000000000000000000000000
χ996-66-6-66-66−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i7006-6000000000000000000000000000000−1−i7−1+i71+i71−i7000000000000000000000000000000000000000000000000
χ1006-66-6-66-66−1−i7−1+i71+i71−i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i71+i71−i7−1−i7−1+i700-660000000000000000000000000000001+i71−i7−1−i7−1+i7000000000000000000000000000000000000000000000000
χ1016-66-6-66-66−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i7006-6000000000000000000000000000000−1+i7−1−i71−i71+i7000000000000000000000000000000000000000000000000
χ1026-66-6-66-66−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i71−i71+i7−1+i7−1−i700-660000000000000000000000000000001−i71+i7−1+i7−1−i7000000000000000000000000000000000000000000000000
χ1036-6-666-6-66−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i700000000006-600000000000000000000000000000000000000−1−i7−1+i71+i71−i700000000000000000000000000000000
χ1046-6-666-6-66−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i7−1−i7−1+i71+i71−i71+i71−i7−1−i7−1+i70000000000-66000000000000000000000000000000000000001+i71−i7−1−i7−1+i700000000000000000000000000000000
χ1056-6-666-6-66−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i700000000006-600000000000000000000000000000000000000−1+i7−1−i71−i71+i700000000000000000000000000000000
χ1066-6-666-6-66−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i7−1+i7−1−i71−i71+i71−i71+i7−1+i7−1−i70000000000-66000000000000000000000000000000000000001−i71+i7−1+i7−1−i700000000000000000000000000000000
χ1076-6-6-6666-6−1−i7−1+i71+i71−i71+i71−i71+i71−i7−1−i7−1+i7−1−i7−1+i7−1−i7−1+i71+i71−i700006-600000000000000000000000000000000−1−i7−1+i71+i71−i700000000000000000000000000000000000000000000
χ1086-6-6-6666-6−1−i7−1+i71+i71−i71+i71−i71+i71−i7−1−i7−1+i7−1−i7−1+i7−1−i7−1+i71+i71−i70000-66000000000000000000000000000000001+i71−i7−1−i7−1+i700000000000000000000000000000000000000000000
χ1096-6-6-6666-6−1+i7−1−i71−i71+i71−i71+i71−i71+i7−1+i7−1−i7−1+i7−1−i7−1+i7−1−i71−i71+i700006-600000000000000000000000000000000−1+i7−1−i71−i71+i700000000000000000000000000000000000000000000
χ1106-6-6-6666-6−1+i7−1−i71−i71+i71−i71+i71−i71+i7−1+i7−1−i7−1+i7−1−i7−1+i7−1−i71−i71+i70000-66000000000000000000000000000000001−i71+i7−1+i7−1−i700000000000000000000000000000000000000000000

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