Finite Group Databasebeta

← Group #13057527

Character table — Group #13057527

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122446666777777771212121212121414141414141414141414141414141428282828282828282828111122446666777777771212121212121414141414141414141414141414141428282828282828282828
order122222247141414336666661414141428284444666612121212121212122466661212121222222224141414146666666614141414282844446666121212121212121224666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ4111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ5111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ6111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ7111111-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ8111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ9111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ10111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ11111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ12111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ131111-1-11-1111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-11111-1-11-1111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-1
χ141111-1-11-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1111-1-1-1-1111111-1-11-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1111-1-1-1-111
χ151111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ161111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ171111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ181111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ191111-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-11-1-1-1-111111111-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-11-1-1-1-11111
χ201111-1-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1-1-11111-1-11111-1-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1-1-11111-1-1
χ211111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ221111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ231111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ241111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ2522-2-2000022-2-22222-2-2-2-2000000002i−2i0000002i−2i002i−2i000000000022-2-2000022-2-22222-2-2-2-2000000002i−2i0000002i−2i002i−2i0000000000
χ2622-2-2000022-2-22222-2-2-2-200000000−2i2i000000−2i2i00−2i2i000000000022-2-2000022-2-22222-2-2-2-200000000−2i2i000000−2i2i00−2i2i0000000000
χ2722-2-2000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000002i−2i0000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000000022-2-2000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000002i−2i0000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000
χ2822-2-2000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300000000−2i2i000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79000000000022-2-2000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300000000−2i2i000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000000000
χ2922-2-2000022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000002i−2i0000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000000022-2-2000022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000002i−2i0000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000000000
χ3022-2-2000022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300000000−2i2i000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83000000000022-2-2000022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300000000−2i2i000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ830000000000
χ312-22-22-2002-2-2222-2-22-22-22-2000000002-22-20000000000000000002-22-22-2002-2-2222-2-22-22-22-2000000002-22-2000000000000000000
χ322-22-22-2002-2-22−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32-200000000−1−i31+i3−1+i31−i30000000000000000002-22-22-2002-2-22−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32-200000000−1−i31+i3−1+i31−i3000000000000000000
χ332-22-22-2002-2-22−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32-200000000−1+i31−i3−1−i31+i30000000000000000002-22-22-2002-2-22−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32-200000000−1+i31−i3−1−i31+i3000000000000000000
χ342-22-2-22002-2-2222-2-22-22-2-2200000000-22-220000000000000000002-22-2-22002-2-2222-2-22-22-2-2200000000-22-22000000000000000000
χ352-22-2-22002-2-22−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i3-22000000001+i3−1−i31−i3−1+i30000000000000000002-22-2-22002-2-22−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i3-22000000001+i3−1−i31−i3−1+i3000000000000000000
χ362-22-2-22002-2-22−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i3-22000000001−i3−1+i31+i3−1−i30000000000000000002-22-2-22002-2-22−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i3-22000000001−i3−1+i31+i3−1−i3000000000000000000
χ372-2-2200002-22-222-2-2-22-220000002-20000002-2002-20000000000002-2-2200002-22-222-2-2-22-220000002-20000002-2002-2000000000000
χ382-2-2200002-22-222-2-2-22-22000000-22000000-2200-220000000000002-2-2200002-22-222-2-2-22-22000000-22000000-2200-22000000000000
χ392-2-2200002-22-2−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i30000002-2000000−1−i31+i300−1+i31−i30000000000002-2-2200002-22-2−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i30000002-2000000−1−i31+i300−1+i31−i3000000000000
χ402-2-2200002-22-2−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3000000-220000001+i3−1−i3001−i3−1+i30000000000002-2-2200002-22-2−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3000000-220000001+i3−1−i3001−i3−1+i3000000000000
χ412-2-2200002-22-2−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i30000002-2000000−1+i31−i300−1−i31+i30000000000002-2-2200002-22-2−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i30000002-2000000−1+i31−i300−1−i31+i3000000000000
χ422-2-2200002-22-2−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3000000-220000001−i3−1+i3001+i3−1−i30000000000002-2-2200002-22-2−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3000000-220000001−i3−1+i3001+i3−1−i3000000000000
χ4366666666-1-1-1-100000000-1-1-1-1-1-10000000000000000000000000066666666-1-1-1-100000000-1-1-1-1-1-100000000000000000000000000
χ44666666-6-6-1-1-1-100000000-1-1111100000000000000000000000000666666-6-6-1-1-1-100000000-1-1111100000000000000000000000000
χ456666-6-66-6-1-1-1-10000000011-1-111000000000000000000000000006666-6-66-6-1-1-1-10000000011-1-11100000000000000000000000000
χ466666-6-6-66-1-1-1-1000000001111-1-1000000000000000000000000006666-6-6-66-1-1-1-1000000001111-1-100000000000000000000000000
χ476-66-66-600-111-100000000-11−i7i7−i7i7000000000000000000000000006-66-66-600-111-100000000-11−i7i7−i7i700000000000000000000000000
χ486-66-66-600-111-100000000-11i7−i7i7−i7000000000000000000000000006-66-66-600-111-100000000-11i7−i7i7−i700000000000000000000000000
χ496-66-6-6600-111-1000000001-1−i7i7i7−i7000000000000000000000000006-66-6-6600-111-1000000001-1−i7i7i7−i700000000000000000000000000
χ506-66-6-6600-111-1000000001-1i7−i7−i7i7000000000000000000000000006-66-6-6600-111-1000000001-1i7−i7−i7i700000000000000000000000000
χ511212-12-120000-2-22200000000000000000000000000000000000000001212-12-120000-2-2220000000000000000000000000000000000000000
χ5212-12-12120000-22-22000000000000000000000000000000000000000012-12-12120000-22-220000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111
χ55111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ56111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ57111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ58111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ59111111-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ60111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1
χ61111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-1-1-111-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ62111111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-1-1-1-1-111-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1111111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ63111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-1-1-1-1-111-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ64111111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-1-1-1-1-111-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1111111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ651111-1-11-1111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111-11-1-1-1-11111
χ661111-1-11-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-11-1-1-11111-1-1
χ671111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-1-1-111-11-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i3211-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ681111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-1-1-1-111-11-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i3211-1-11111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ691111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-1-1-1-111-11-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i3211-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ701111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32-1-1-1-111-11-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i3211-1-11111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ711111-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1111-11111-1-1-1-1
χ721111-1-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1-1111-1-1-1-111
χ731111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1111-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321111-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ741111-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-1-1-1-1111-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321111-1-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ751111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1111-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321111-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ761111-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32-1-1-1-1111-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321111-1-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ7722-2-2000022-2-22222-2-2-2-2000000002i−2i0000002i−2i002i−2i0000000000-2-2220000-2-222-2-2-2-2222200000000−2i2i000000−2i2i00−2i2i0000000000
χ7822-2-2000022-2-22222-2-2-2-200000000−2i2i000000−2i2i00−2i2i0000000000-2-2220000-2-222-2-2-2-22222000000002i−2i0000002i−2i002i−2i0000000000
χ7922-2-2000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3000000002i−2i0000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000-2-2220000-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i300000000−2i2i000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000000000
χ8022-2-2000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300000000−2i2i000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000000000-2-2220000-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3000000002i−2i0000002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000
χ8122-2-2000022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3000000002i−2i0000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000000000-2-2220000-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i300000000−2i2i000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ830000000000
χ8222-2-2000022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300000000−2i2i000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ830000000000-2-2220000-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3000000002i−2i0000002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000000000
χ832-22-22-2002-2-2222-2-22-22-22-2000000002-22-2000000000000000000-22-22-2200-222-2-2-222-22-22-2200000000-22-22000000000000000000
χ842-22-22-2002-2-22−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32-200000000−1−i31+i3−1+i31−i3000000000000000000-22-22-2200-222-21+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i3-22000000001+i3−1−i31−i3−1+i3000000000000000000
χ852-22-22-2002-2-22−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32-200000000−1+i31−i3−1−i31+i3000000000000000000-22-22-2200-222-21−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i3-22000000001−i3−1+i31+i3−1−i3000000000000000000
χ862-22-2-22002-2-2222-2-22-22-2-2200000000-22-22000000000000000000-22-222-200-222-2-2-222-22-222-2000000002-22-2000000000000000000
χ872-22-2-22002-2-22−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i3-22000000001+i3−1−i31−i3−1+i3000000000000000000-22-222-200-222-21+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i32-200000000−1−i31+i3−1+i31−i3000000000000000000
χ882-22-2-22002-2-22−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i3-22000000001−i3−1+i31+i3−1−i3000000000000000000-22-222-200-222-21−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i32-200000000−1+i31−i3−1−i31+i3000000000000000000
χ892-2-2200002-22-222-2-2-22-220000002-20000002-2002-2000000000000-222-20000-22-22-2-2222-22-2000000-22000000-2200-22000000000000
χ902-2-2200002-22-222-2-2-22-22000000-22000000-2200-22000000000000-222-20000-22-22-2-2222-22-20000002-20000002-2002-2000000000000
χ912-2-2200002-22-2−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i30000002-2000000−1−i31+i300−1+i31−i3000000000000-222-20000-22-221+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i3000000-220000001+i3−1−i3001−i3−1+i3000000000000
χ922-2-2200002-22-2−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i3000000-220000001+i3−1−i3001−i3−1+i3000000000000-222-20000-22-221+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000002-2000000−1−i31+i300−1+i31−i3000000000000
χ932-2-2200002-22-2−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i30000002-2000000−1+i31−i300−1−i31+i3000000000000-222-20000-22-221−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i3000000-220000001−i3−1+i3001+i3−1−i3000000000000
χ942-2-2200002-22-2−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3000000-220000001−i3−1+i3001+i3−1−i3000000000000-222-20000-22-221−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i30000002-2000000−1+i31−i300−1−i31+i3000000000000
χ9566666666-1-1-1-100000000-1-1-1-1-1-100000000000000000000000000-6-6-6-6-6-6-6-611110000000011111100000000000000000000000000
χ96666666-6-6-1-1-1-100000000-1-1111100000000000000000000000000-6-6-6-6-6-66611110000000011-1-1-1-100000000000000000000000000
χ976666-6-66-6-1-1-1-10000000011-1-11100000000000000000000000000-6-6-6-666-66111100000000-1-111-1-100000000000000000000000000
χ986666-6-6-66-1-1-1-1000000001111-1-100000000000000000000000000-6-6-6-6666-6111100000000-1-1-1-11100000000000000000000000000
χ996-66-66-600-111-100000000-11−i7i7−i7i700000000000000000000000000-66-66-66001-1-11000000001-1i7−i7i7−i700000000000000000000000000
χ1006-66-66-600-111-100000000-11i7−i7i7−i700000000000000000000000000-66-66-66001-1-11000000001-1−i7i7−i7i700000000000000000000000000
χ1016-66-6-6600-111-1000000001-1−i7i7i7−i700000000000000000000000000-66-666-6001-1-1100000000-11i7−i7−i7i700000000000000000000000000
χ1026-66-6-6600-111-1000000001-1i7−i7−i7i700000000000000000000000000-66-666-6001-1-1100000000-11−i7i7i7−i700000000000000000000000000
χ1031212-12-120000-2-2220000000000000000000000000000000000000000-12-121212000022-2-20000000000000000000000000000000000000000
χ10412-12-12120000-22-220000000000000000000000000000000000000000-121212-1200002-22-20000000000000000000000000000000000000000

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