Finite Group Databasebeta

← Group #13048934

Character table — Group #13048934

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size112222222222233334444444444446666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212272727272727545454545454545454
order123444699918181833661212123636363636363636363336669999999912121212121218181818181818181212121212121212123636363636363636363636363636363636363636363636364412121212222666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i321−1−i32−1+i3211−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111111111111−1−i32−1+i32−1−i32−1+i321111111111111−1−i32−1+i321−1−i32−1+i3211−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32-1-11+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32
χ51111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i321−1+i32−1−i3211−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ61111111111111−1+i32−1−i32−1+i32−1−i321111111111111−1+i32−1−i321−1+i32−1−i3211−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−i32-1-11−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32
χ71111-1-1111111111111-1-1111-1-1-1-1-1-1111111111111111-1-11-1-1111111111-1-11-1-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-11-1-1
χ81111-1-1111111111111-1-1111-1-1-1-1-1-1111111111111111-1-11-1-1111111111-1-11-1-11-1-111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111
χ91111-1-11111111−1−i32−1+i32−1−i32−1+i321-1-1111-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32
χ101111-1-11111111−1−i32−1+i32−1−i32−1+i321-1-1111-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32
χ111111-1-11111111−1+i32−1−i32−1+i32−1−i321-1-1111-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32
χ121111-1-11111111−1+i32−1−i32−1+i32−1−i321-1-1111-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32
χ13111-11-111111111111-11-1-1-1-1111-1-1-111111111111111-11-1-11-111111111-11-1-11-1-11-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1111111-11-1-11-1-11-1
χ14111-11-111111111111-11-1-1-1-1111-1-1-111111111111111-11-1-11-111111111-11-1-11-1-11-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-111-111-11
χ15111-11-11111111−1−i32−1+i32−1−i32−1+i32-11-1-1-1-1111-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-111-1-11+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32
χ16111-11-11111111−1−i32−1+i32−1−i32−1+i32-11-1-1-1-1111-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-111-1-11+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32-1-11+i321+i321−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32
χ17111-11-11111111−1+i32−1−i32−1+i32−1−i32-11-1-1-1-1111-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-111-1-11−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32
χ18111-11-11111111−1+i32−1−i32−1+i32−1−i32-11-1-1-1-1111-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-111-1-11−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32-1-11−i321−i321+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32
χ19111-1-1111111111111-1-11-1-1-1-1-1-111111111111111111-1-11-1-1111111111-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-11-1-11-1-11
χ20111-1-1111111111111-1-11-1-1-1-1-1-111111111111111111-1-11-1-1111111111-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-111-111-1
χ21111-1-111111111−1−i32−1+i32−1−i32−1+i32-1-11-1-1-1-1-1-11111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-1-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32
χ22111-1-111111111−1−i32−1+i32−1−i32−1+i32-1-11-1-1-1-1-1-11111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-1-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32
χ23111-1-111111111−1+i32−1−i32−1+i32−1−i32-1-11-1-1-1-1-1-11111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-1-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32
χ24111-1-111111111−1+i32−1−i32−1+i32−1−i32-1-11-1-1-1-1-1-11111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-1-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32
χ2522222222222222222222222222222-1-1-1-1-1-1-1-12-1-12-1-1222222-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000000
χ262222222222222−1−i3−1+i3−1−i3−1+i3222222222222-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1−1−i31+i321+i32−1+i31−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000000000
χ272222222222222−1+i3−1−i3−1+i3−1−i3222222222222-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1−1+i31−i321−i32−1−i31+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000000000
χ282222222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ292222222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-12222222-1-12-1-12-1-1-1-1-1-1-1-1-1-12-12-12-1-12-1-12-1-12-1-12-1-12-1-12-1000000000000000
χ302222222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222222-12-1-12-1-12-1-1-1-1-1-1-1-1-1-12-12-12-1-12-1-12-1-12-1-12-1-12-1-12000000000000000
χ312222222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3222-1-1-1-1-1-1-1-1-12−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000
χ322222222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3222-1-1-1-1-1-1-1-1-1-11+i321−i32-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-11+i32−1−i31+i321−i32−1+i31−i32-1-1-11+i321+i321+i321−i321−i321−i322-12-12-11+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000000000000000
χ332222222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3222-1-1-1-1-1-1-1-1-1-11+i321−i32-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-121+i321+i32−1−i31−i321−i32−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-12-12-121+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000000000000000
χ342222222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3222-1-1-1-1-1-1-1-1-12−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000
χ352222222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3222-1-1-1-1-1-1-1-1-1-11−i321+i32-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-11−i32−1+i31−i321+i32−1−i31+i32-1-1-11−i321−i321−i321+i321+i321+i322-12-12-11−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000000000000000
χ362222222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3222-1-1-1-1-1-1-1-1-1-11−i321+i32-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-121−i321−i32−1+i31+i321+i32−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-12-12-121−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000000000000000
χ372222-2-2222222222222-2-2222-2-2-2-2-2-2-1-1-1-1-1-1-1-12-1-12-1-12-2-22-2-2-1-12-1-12-1-1-111-111-111-1-111112-1-1-211-2112-1-1-211-211000000000000000
χ382222-2-22222222−1−i3−1+i3−1−i3−1+i32-2-2222-2-2-2-2-2-2-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i31+i31+i3−1+i31−i31−i3-1-1−1−i31+i321+i32−1+i31−i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-1-11111−1−i31+i321+i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1+i31−i321−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000000
χ392222-2-22222222−1+i3−1−i3−1+i3−1−i32-2-2222-2-2-2-2-2-2-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i31−i31−i3−1−i31+i31+i3-1-1−1+i31−i321−i32−1−i31+i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-1-11111−1+i31−i321−i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1−i31+i321+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000000
χ402222-2-22-1-1-1-1-1-122222-2-2-1-1-1111111222222-1-1-1-1-1-1-1-12-2-22-2-2-1-1-1-1-1-1-1-12-2-22-2-22-2-2-1-11111-1-1-1111111-1-1-1111111000000000000000
χ412222-2-22-1-1-1-1-1-122222-2-2-1-1-1111111-1-1-1-1-1-12-1-12-1-12-12-2-22-2-22-1-12-1-12-1-111-111-1112-1-21-21-12-11-211-21-12-11-211-21000000000000000
χ422222-2-22-1-1-1-1-1-122222-2-2-1-1-1111111-1-1-1-1-1-1-12-1-12-1-122-2-22-2-2-12-1-12-1-12-111-111-111-121-21-2-1-1211-211-2-1-1211-211-2000000000000000
χ432222-2-22-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32-2-2-1-1-11111112−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32−1−i31+i31+i3−1+i31−i31−i3-1-11+i321+i321+i321−i321−i321−i322-2-2−1−i31+i31+i3−1+i31−i31−i3-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000
χ442222-2-22-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32-2-2-1-1-1111111-11+i321−i32-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i32−1−i31+i31+i3−1+i31−i31−i32-11+i32−1−i31+i321−i32−1+i31−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i322-1-21-211+i32−1−i31+i32−1−i321+i3−1−i32−1−i321+i3−1−i321−i32−1+i31−i32−1+i321−i3−1+i32−1+i321−i3−1+i32000000000000000
χ452222-2-22-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32-2-2-1-1-1111111-11+i321−i32-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i3−1−i31+i31+i3−1+i31−i31−i3-121+i321+i32−1−i31−i321−i32−1+i3-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-121-21-21+i321+i32−1−i3−1−i32−1−i321+i3−1−i32−1−i321+i31−i321−i32−1+i3−1+i32−1+i321−i3−1+i32−1+i321−i3000000000000000
χ462222-2-22-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32-2-2-1-1-11111112−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32−1+i31−i31−i3−1−i31+i31+i3-1-11−i321−i321−i321+i321+i321+i322-2-2−1+i31−i31−i3−1−i31+i31+i3-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000
χ472222-2-22-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32-2-2-1-1-1111111-11−i321+i32-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i32−1+i31−i31−i3−1−i31+i31+i32-11−i32−1+i31−i321+i32−1−i31+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i322-1-21-211−i32−1+i31−i32−1+i321−i3−1+i32−1+i321−i3−1+i321+i32−1−i31+i32−1−i321+i3−1−i32−1−i321+i3−1−i32000000000000000
χ482222-2-22-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32-2-2-1-1-1111111-11−i321+i32-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i3−1+i31−i31−i3−1−i31+i31+i3-121−i321−i32−1+i31+i321+i32−1−i3-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-121-21-21−i321−i32−1+i3−1+i32−1+i321−i3−1+i32−1+i321−i31+i321+i32−1−i3−1−i32−1−i321+i3−1−i32−1−i321+i3000000000000000
χ49222-22-222222222222-22-2-2-2-2222-2-2-2-1-1-1-1-1-1-1-12-1-12-1-1-22-2-22-2-1-12-1-12-1-11-111-111-1111-1-111-2112-1-1-211-2112-1-1-211000000000000000
χ50222-22-22222222−1−i3−1+i3−1−i3−1+i3-22-2-2-2-2222-2-2-2-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i321+i3−1−i31+i31−i3−1+i31−i3-1-1−1−i31+i321+i32−1+i31−i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i3211-1-1111+i3−1−i32−1−i32−1−i31+i321+i321+i3−1−i32−1−i321−i3−1+i32−1+i32−1+i31−i321−i321−i3−1+i32−1+i32000000000000000
χ51222-22-22222222−1+i3−1−i3−1+i3−1−i3-22-2-2-2-2222-2-2-2-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i321−i3−1+i31−i31+i3−1−i31+i3-1-1−1+i31−i321−i32−1−i31+i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i3211-1-1111−i3−1+i32−1+i32−1+i31−i321−i321−i3−1+i32−1+i321+i3−1−i32−1−i32−1−i31+i321+i321+i3−1−i32−1−i32000000000000000
χ52222-22-22-1-1-1-1-1-12222-22-2111-1-1-1111222222-1-1-1-1-1-1-1-1-22-2-22-2-1-1-1-1-1-1-1-1-22-2-22-2-22-211-1-111111-1-1-1111111-1-1-1111000000000000000
χ53222-22-22-1-1-1-1-1-12222-22-2111-1-1-1111-1-1-1-1-1-12-1-12-1-12-1-22-2-22-22-1-12-1-12-11-111-111-11-212-1-211-21-12-11-211-21-12-11-21000000000000000
χ54222-22-22-1-1-1-1-1-12222-22-2111-1-1-1111-1-1-1-1-1-1-12-1-12-1-12-22-2-22-2-12-1-12-1-121-111-111-111-2-121-211-2-1-1211-211-2-1-1211-2000000000000000
χ55222-22-22-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3-22-2111-1-1-11112−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i321+i3−1−i31+i31−i3−1+i31−i3-1-11+i321+i321+i321−i321−i321−i32-22-21+i3−1−i31+i31−i3−1+i31−i311-1-111−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32000000000000000
χ56222-22-22-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3-22-2111-1-1-1111-11+i321−i32-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i321+i3−1−i31+i31−i3−1+i31−i32-11+i32−1−i31+i321−i32−1+i31−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32-212-1-21−1−i321+i3−1−i321+i32−1−i31+i32−1−i321+i3−1−i32−1+i321−i3−1+i321−i32−1+i31−i32−1+i321−i3−1+i32000000000000000
χ57222-22-22-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3-22-2111-1-1-1111-11+i321−i32-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i31+i3−1−i31+i31−i3−1+i31−i3-121+i321+i32−1−i31−i321−i32−1+i31-11−1−i321+i32−1−i32−1+i321−i32−1+i321-2-121-2−1−i32−1−i321+i31+i321+i32−1−i3−1−i32−1−i321+i3−1+i32−1+i321−i31−i321−i32−1+i3−1+i32−1+i321−i3000000000000000
χ58222-22-22-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3-22-2111-1-1-11112−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i321−i3−1+i31−i31+i3−1−i31+i3-1-11−i321−i321−i321+i321+i321+i32-22-21−i3−1+i31−i31+i3−1−i31+i311-1-111−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32000000000000000
χ59222-22-22-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3-22-2111-1-1-1111-11−i321+i32-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i321−i3−1+i31−i31+i3−1−i31+i32-11−i32−1+i31−i321+i32−1−i31+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32-212-1-21−1+i321−i3−1+i321−i32−1+i31−i32−1+i321−i3−1+i32−1−i321+i3−1−i321+i32−1−i31+i32−1−i321+i3−1−i32000000000000000
χ60222-22-22-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3-22-2111-1-1-1111-11−i321+i32-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i31−i3−1+i31−i31+i3−1−i31+i3-121−i321−i32−1+i31+i321+i32−1−i31-11−1+i321−i32−1+i32−1−i321+i32−1−i321-2-121-2−1+i32−1+i321−i31−i321−i32−1+i3−1+i32−1+i321−i3−1−i32−1−i321+i31+i321+i32−1−i3−1−i32−1−i321+i3000000000000000
χ61222-2-2222222222222-2-22-2-2-2-2-2-2222-1-1-1-1-1-1-1-12-1-12-1-1-2-22-2-22-1-12-1-12-1-111-111-111-11111-1-1-211-2112-1-1-211-2112-1-1000000000000000
χ62222-2-222222222−1−i3−1+i3−1−i3−1+i3-2-22-2-2-2-2-2-2222-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i321+i31+i3−1−i31−i31−i3−1+i3-1-1−1−i31+i321+i32−1+i31−i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321111-1-11+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i321+i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i321−i32000000000000000
χ63222-2-222222222−1+i3−1−i3−1+i3−1−i3-2-22-2-2-2-2-2-2222-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i321−i31−i3−1+i31+i31+i3−1−i3-1-1−1+i31−i321−i32−1−i31+i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321111-1-11−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i321−i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i321+i32000000000000000
χ64222-2-222-1-1-1-1-1-12222-2-22111111-1-1-1222222-1-1-1-1-1-1-1-1-2-22-2-22-1-1-1-1-1-1-1-1-2-22-2-22-2-221111-1-1111111-1-1-1111111-1-1-1000000000000000
χ65222-2-222-1-1-1-1-1-12222-2-22111111-1-1-1-1-1-1-1-1-12-1-12-1-12-1-2-22-2-222-1-12-1-12-111-111-111-1-21-212-11-211-21-12-11-211-21-12-1000000000000000
χ66222-2-222-1-1-1-1-1-12222-2-22111111-1-1-1-1-1-1-1-1-1-12-1-12-1-12-2-22-2-22-12-1-12-1-1211-111-111-11-21-2-1211-211-2-1-1211-211-2-1-12000000000000000
χ67222-2-222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3-2-22111111-1-1-12−1−i3−1+i32−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i321+i31+i3−1−i31−i31−i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-2-221+i31+i3−1−i31−i31−i3−1+i31111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32000000000000000
χ68222-2-222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3-2-22111111-1-1-1-11+i321−i32-11+i321−i322-11+i32−1−i31+i321−i32−1+i31−i321+i31+i3−1−i31−i31−i3−1+i32-11+i32−1−i31+i321−i32−1+i31−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32-21-212-1−1−i321+i3−1−i32−1−i321+i3−1−i321+i32−1−i31+i32−1+i321−i3−1+i32−1+i321−i3−1+i321−i32−1+i31−i32000000000000000
χ69222-2-222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3-2-22111111-1-1-1-11+i321−i32-11+i321−i32-121+i321+i32−1−i31−i321−i32−1+i31+i31+i3−1−i31−i31−i3−1+i3-121+i321+i32−1−i31−i321−i32−1+i311-1−1−i32−1−i321+i32−1+i32−1+i321−i321-21-2-12−1−i32−1−i321+i3−1−i32−1−i321+i31+i321+i32−1−i3−1+i32−1+i321−i3−1+i32−1+i321−i31−i321−i32−1+i3000000000000000
χ70222-2-222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3-2-22111111-1-1-12−1+i3−1−i32−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i321−i31−i3−1+i31+i31+i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-2-221−i31−i3−1+i31+i31+i3−1−i31111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32000000000000000
χ71222-2-222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3-2-22111111-1-1-1-11−i321+i32-11−i321+i322-11−i32−1+i31−i321+i32−1−i31+i321−i31−i3−1+i31+i31+i3−1−i32-11−i32−1+i31−i321+i32−1−i31+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32-21-212-1−1+i321−i3−1+i32−1+i321−i3−1+i321−i32−1+i31−i32−1−i321+i3−1−i32−1−i321+i3−1−i321+i32−1−i31+i32000000000000000
χ72222-2-222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3-2-22111111-1-1-1-11−i321+i32-11−i321+i32-121−i321−i32−1+i31+i321+i32−1−i31−i31−i3−1+i31+i31+i3−1−i3-121−i321−i32−1+i31+i321+i32−1−i311-1−1+i32−1+i321−i32−1−i32−1−i321+i321-21-2-12−1+i32−1+i321−i3−1+i32−1+i321−i31−i321−i32−1+i3−1−i32−1−i321+i3−1−i32−1−i321+i31+i321+i32−1−i3000000000000000
χ732-22000-2222-2-2-222-2-2000000000000222-2-2-222222222000000-2-2-2-2-2-2-2-20000000000000000000000000000000002i−2i2i−2i2i−2i000000000
χ742-22000-2222-2-2-222-2-2000000000000222-2-2-222222222000000-2-2-2-2-2-2-2-2000000000000000000000000000000000−2i2i−2i2i−2i2i000000000
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Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.