Finite Group Databasebeta

← Group #13141192

Character table — Group #13141192

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111333333333333333333333344444466666666666666666666666666666666666612121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order1233662266669918181818181818181818181818184412121212444412121212121212123636363636363636363636363636363636363636363636364412121212363636363636363636363636363636363366999912121212181818183636363636363636
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+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
χ41111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ61111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ7111111111111−1−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+i32111111111111111111−1−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+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+i321111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ8111111111111−1−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+i32111111111111111111−1−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+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−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32
χ9111111111111−1−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+i32111111111111111111−1−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+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+i32−1−i321−1−i32−1+i321−1+i32−1+i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211
χ10111111111111−1−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+i32-1-1-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ11111111111111−1−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+i32-1-1-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i321+i321+i321−i321−i32−1+i3211−1−i321−i321−i32-1-1-1-11+i321+i32
χ12111111111111−1−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+i32-1-1-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−i321−i321+i321+i321−1−i32−1+i321-1-11+i321+i321−i321−i32-1-1
χ13111111111111−1+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−i32111111111111111111−1+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−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−i321111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ14111111111111−1+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−i32111111111111111111−1+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−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−i32−1+i321−1+i32−1−i321−1−i32−1−i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211
χ15111111111111−1+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−i32111111111111111111−1+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−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+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32
χ16111111111111−1+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−i32-1-1-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ17111111111111−1+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−i32-1-1-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211+i321+i321−i321−i321−1+i32−1−i321-1-11−i321−i321+i321+i32-1-1
χ18111111111111−1+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−i32-1-1-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i321−i321−i321+i321+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i32
χ191-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1i−iii−i−i11-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11111i−ii−i-1-1-1-1i−ii−ii−ii−i
χ201-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1i−iii−i−i11-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−ζ15ζ15−ζ3ζ31+i321+i321−i321−i32−ζ15ζ15−ζ15ζ15−ζ3ζ3−ζ3ζ3
χ211-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1i−iii−i−i11-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−ζ3ζ3−ζ15ζ151−i321−i321+i321+i32−ζ3ζ3−ζ3ζ3−ζ15ζ15−ζ15ζ15
χ221-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1−ii−i−iii11-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11111−ii−ii-1-1-1-1−ii−ii−ii−ii
χ231-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1−ii−i−iii11-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32ζ15−ζ15ζ3−ζ31+i321+i321−i321−i32ζ15−ζ15ζ15−ζ15ζ3−ζ3ζ3−ζ3
χ241-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1−ii−i−iii11-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32ζ3−ζ3ζ15−ζ151−i321−i321+i321+i32ζ3−ζ3ζ3−ζ3ζ15−ζ15ζ15−ζ15
χ251-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32i−iii−i−i11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32i−iii−i−i−ζ15−ζ15−ζ15−ζ15ζ15ζ15ζ15ζ15−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1−1−i32−1+i32−1−i32−1+i32i−ii−i1+i321−i321+i321−i32−ζ15ζ15−ζ3ζ3−ζ15ζ15−ζ3ζ3
χ261-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32i−iii−i−i11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32i−iii−i−i−ζ15−ζ15−ζ15−ζ15ζ15ζ15ζ15ζ15−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−1−i32−1+i321+i321−i32−1+i3211−1−i32−ζ15ζ15−ζ3ζ31−i32-1-11+i32−ζ3ζ3i−ii−i−ζ15ζ15
χ271-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32i−iii−i−i11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32i−iii−i−i−ζ15−ζ15−ζ15−ζ15ζ15ζ15ζ15ζ15−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−1+i32−1−i321−i321+i321−1−i32−1+i321−ζ3ζ3−ζ15ζ15-11+i321−i32-1i−i−ζ15ζ15−ζ3ζ3i−i
χ281-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32−ii−i−iii11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ii−i−iiiζ15ζ15ζ15ζ15−ζ15−ζ15−ζ15−ζ15ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1−1−i32−1+i32−1−i32−1+i32−ii−ii1+i321−i321+i321−i32ζ15−ζ15ζ3−ζ3ζ15−ζ15ζ3−ζ3
χ291-111-1-1-11-1-111−1−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32−ii−i−iii11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ii−i−iiiζ15ζ15ζ15ζ15−ζ15−ζ15−ζ15−ζ15ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−1−i32−1+i321+i321−i32−1+i3211−1−i32ζ15−ζ15ζ3−ζ31−i32-1-11+i32ζ3−ζ3−ii−iiζ15−ζ15
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χ9266−3−3i3−3+3i3−3−3i3−3+3i3-2-21+i31−i31+i31−i300−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ2200000000-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i32ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ262ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ26−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ342ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ342ζ22−2ζ220000000000000000000000000000000000000000000000
χ9366−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i300−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14000000002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ140000000000000000000000000000000000000000000000
χ9466−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i300−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ1400000000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i32ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ140000000000000000000000000000000000000000000000
χ9566−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3004ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ26000000002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i32ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ342ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ260000000000000000000000000000000000000000000000
χ9666−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i3004ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ2600000000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ34−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ260000000000000000000000000000000000000000000000
χ9766−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i300−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26000000002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ260000000000000000000000000000000000000000000000
χ9866−3+3i3−3−3i3−3+3i3−3−3i3-2-21−i31+i31−i31+i300−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ2600000000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i32ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ260000000000000000000000000000000000000000000000
χ996-666-6-62-222-2-266222222-2-2-2-2-2-2-6-60000002-2-222-22-2-22-222-22-22-2-22-22-222-22-22-2-22-22-220000000000000000000000000000000000000000000000
χ1006-666-6-62-222-2-266222222-2-2-2-2-2-2-6-6000000-222-2-22-222-22-2-22-22-222-22-22-2-22-22-222-22-22-20000000000000000000000000000000000000000000000
χ1016-666-6-62-222-2-2−3−3i3−3+3i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i33+3i33−3i30000002-2-222-22-2-22-22−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i30000000000000000000000000000000000000000000000
χ1026-666-6-62-222-2-2−3−3i3−3+3i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i33+3i33−3i3000000-222-2-22-222-22-21+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i30000000000000000000000000000000000000000000000
χ1036-666-6-62-222-2-2−3+3i3−3−3i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i33−3i33+3i30000002-2-222-22-2-22-22−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i30000000000000000000000000000000000000000000000
χ1046-666-6-62-222-2-2−3+3i3−3−3i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i33−3i33+3i3000000-222-2-22-222-22-21−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i30000000000000000000000000000000000000000000000
χ1056-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i300−4ζ14−4ζ264ζ264ζ144ζ22−4ζ22−4ζ344ζ344ζ14+4ζ26−4ζ26−4ζ14−4ζ224ζ22+4ζ34−4ζ34000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i32ζ14+2ζ26−2ζ14−2ζ26−2ζ262ζ26−2ζ142ζ14−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ262ζ14−2ζ14−2ζ222ζ222ζ22+2ζ34−2ζ22−2ζ34−2ζ342ζ342ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ340000000000000000000000000000000000000000000000
χ1066-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i300−4ζ14−4ζ264ζ264ζ144ζ22−4ζ22−4ζ344ζ344ζ14+4ζ26−4ζ26−4ζ14−4ζ224ζ22+4ζ34−4ζ3400000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i3−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ262ζ14−2ζ142ζ14+2ζ26−2ζ14−2ζ26−2ζ262ζ26−2ζ142ζ142ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ34−2ζ222ζ222ζ22+2ζ34−2ζ22−2ζ34−2ζ342ζ340000000000000000000000000000000000000000000000
χ1076-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3004ζ264ζ14−4ζ14−4ζ264ζ344ζ22−4ζ22−4ζ34−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ34000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3−2ζ262ζ26−2ζ142ζ142ζ14+2ζ26−2ζ14−2ζ262ζ26−2ζ262ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ26−2ζ342ζ34−2ζ222ζ222ζ22+2ζ34−2ζ22−2ζ342ζ34−2ζ342ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ340000000000000000000000000000000000000000000000
χ1086-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3004ζ264ζ14−4ζ14−4ζ264ζ344ζ22−4ζ22−4ζ34−4ζ26−4ζ144ζ14+4ζ26−4ζ34−4ζ224ζ22+4ζ3400000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i32ζ26−2ζ262ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ26−2ζ262ζ26−2ζ142ζ142ζ14+2ζ26−2ζ14−2ζ262ζ34−2ζ342ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ34−2ζ342ζ34−2ζ222ζ222ζ22+2ζ34−2ζ22−2ζ340000000000000000000000000000000000000000000000
χ1096-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3004ζ14−4ζ14−4ζ264ζ26−4ζ22−4ζ344ζ344ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ22000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3−2ζ142ζ142ζ14+2ζ26−2ζ14−2ζ26−2ζ262ζ262ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ262ζ22+2ζ34−2ζ22−2ζ34−2ζ342ζ34−2ζ222ζ22−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ342ζ22−2ζ220000000000000000000000000000000000000000000000
χ1106-6−3−3i3−3+3i33+3i33−3i32-2−1−i3−1+i31+i31−i3004ζ14−4ζ14−4ζ264ζ26−4ζ22−4ζ344ζ344ζ22−4ζ144ζ14+4ζ26−4ζ264ζ22+4ζ34−4ζ34−4ζ2200000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i32ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ26−2ζ142ζ142ζ14+2ζ26−2ζ14−2ζ26−2ζ262ζ26−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ342ζ22−2ζ222ζ22+2ζ34−2ζ22−2ζ34−2ζ342ζ34−2ζ222ζ220000000000000000000000000000000000000000000000
χ1116-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3004ζ224ζ34−4ζ22−4ζ344ζ26−4ζ14−4ζ264ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ342ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ140000000000000000000000000000000000000000000000
χ1126-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3004ζ224ζ34−4ζ22−4ζ344ζ26−4ζ14−4ζ264ζ14−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ1400000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i32ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ34−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ342ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ140000000000000000000000000000000000000000000000
χ1136-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i300−4ζ22−4ζ344ζ224ζ34−4ζ14−4ζ264ζ144ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ26000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i32ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ342ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ260000000000000000000000000000000000000000000000
χ1146-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i300−4ζ22−4ζ344ζ224ζ34−4ζ14−4ζ264ζ144ζ264ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ2600000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i3−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ34−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ260000000000000000000000000000000000000000000000
χ1156-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3004ζ34−4ζ22−4ζ344ζ224ζ144ζ26−4ζ14−4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ22−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ262ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ260000000000000000000000000000000000000000000000
χ1166-6−3+3i3−3−3i33−3i33+3i32-2−1+i3−1−i31−i31+i3004ζ34−4ζ22−4ζ344ζ224ζ144ζ26−4ζ14−4ζ26−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ2600000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i32ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ222ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ26−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ260000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.