Finite Group Databasebeta

← Group #13142051

Character table — Group #13142051

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size111122222222222233333333444444444444444446666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order12223444466612121212336666664888812121212242424242424242433366666666612121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212226666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32111−1−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+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32111−1−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+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ71111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32111−1−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+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ81111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32111−1−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+i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32111−1+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−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32111−1+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−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32111−1+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−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ121111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32111−1+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−i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1311111-1-111111111111111111-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1411111-1-111111111111111111-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-11-11-11
χ1511111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-1-11-11-11
χ1611111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-1111-11-11-1
χ1711111-1-1111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−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−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ1811111-1-1111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−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−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32
χ1911111-1-1111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-111-1-1-1-1-1-1-1-111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−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+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ2011111-1-1111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-111-1-1-1-1-1-1-1-111111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−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+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32
χ2111111-1-1111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+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+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ2211111-1-1111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+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+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32
χ2311111-1-1111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-111-1-1-1-1-1-1-1-111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+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−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ2411111-1-1111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-111-1-1-1-1-1-1-1-111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+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−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32
χ2522222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000
χ262222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-111111111-2-21111-2-21111-2-21111-2-21111000000000000000000
χ272222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322222222222222222-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000000000000000
χ282222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111111111+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000000000
χ292222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322222222222222222-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000000000000000
χ302222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111111111−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000000000
χ312222222-2-2222-2-2-2-222222222-2000022-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000
χ322222222-2-2222-2-2-2-222222222-2000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2-1-111-1-111-1-11133−3−333−3−30033−3−30033−3−30033−3−30033−3−3000000000000000000
χ332222222-2-2222-2-2-2-222222222-2000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2-1-111-1-111-1-111−3−333−3−33300−3−33300−3−33300−3−33300−3−333000000000000000000
χ342222222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2000022-2-2000000002−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i3-2-21+i31+i31−i31−i31+i31−i3-2-21+i31+i31−i31−i31+i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300000000000000000000000000000000000000000000000000
χ352222222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2000022-2-200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3233−3−333−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000000000
χ362222222-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2000022-2-200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−3−333−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000000000
χ372222222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2000022-2-2000000002−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i3-2-21−i31−i31+i31+i31−i31+i3-2-21−i31−i31+i31+i31−i31+i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300000000000000000000000000000000000000000000000000
χ382222222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2000022-2-200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3233−3−333−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000000000
χ392222222-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2000022-2-200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−3−333−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000000000
χ4022222-2-222222222222222222-222-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111111111-1-1-1-1111122-1-1-1-1-2-2111122-1-1-1-1-2-21111000000000000000000
χ4122222-2-222222222222222222-2-2-222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-21111111111111111-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1000000000000000000
χ4222222-2-2222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-2-2-2-2-2-22222-2-2-2-2-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i3−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000000000
χ4322222-2-2222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-222-2-2-2-2-2-2-2-22222-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i3−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i32000000000000000000
χ4422222-2-2222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-222-2-2-2-2-2-22222-2-2-2-2-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31+i31+i3−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000000000
χ4522222-2-2222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-222-2-2-2-2-2-2-2-22222-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31+i31+i3−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-11−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i32000000000000000000
χ4622222-2-2-2-2222-2-2-2-22222222220000-2-22200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000
χ4722222-2-2-2-2222-2-2-2-22222222220000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-21111112211-1-111-1-111-1-133−3−3−3−3330033−3−300−3−3330033−3−300−3−333000000000000000000
χ4822222-2-2-2-2222-2-2-2-22222222220000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111-2-21111112211-1-111-1-111-1-1−3−33333−3−300−3−3330033−3−300−3−3330033−3−3000000000000000000
χ4922222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i320000-2-222000000002−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31−i31−i31+i31−i3-2-21+i31+i31−i31−i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i300000000000000000000000000000000000000000000000000
χ5022222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i320000-2-22200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3233−3−3−3−333002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000000000
χ5122222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i320000-2-22200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−3−33333−3−300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000000000
χ5222222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i320000-2-222000000002−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31+i31+i31−i31+i3-2-21−i31−i31+i31+i31−i31+i3-2-21−i31−i31+i31+i3−1+i3−1−i3-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i300000000000000000000000000000000000000000000000000
χ5322222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i320000-2-22200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31+i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3233−3−3−3−33300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000000000
χ5422222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i320000-2-22200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31+i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−3−33333−3−300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000000000
χ5522-2-222-2002-2-200002222-2-2-2-20−i2i2−i2i22-200−i2−i2i2i2−i2−i2i2i22222-2-22-2-22-2-22-22-20000000000000000002-2002-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000
χ5622-2-222-2002-2-200002222-2-2-2-20−i2i2−i2i22-200−i2−i2i2i2−i2−i2i2i2-1-1-1-111-111-1112-22-2003−33−33−3003−33−33−300-113−3-113−3-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000
χ5722-2-222-2002-2-200002222-2-2-2-20−i2i2−i2i22-200−i2−i2i2i2−i2−i2i2i2-1-1-1-111-111-1112-22-200−33−33−3300−33−33−3300-11−33-11−33-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000
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χ1216666-366-6-6-3-3-3333300000000-60000-3-333−3333−3333−3333−3333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1226666-3-6-666-3-3-3-3-3-3-300000000-666-6-63333-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1236666-3-6-666-3-3-3-3-3-3-300000000-6-6-66633333333-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1246666-3-6-6-6-6-3-3-33333000000006000033-3-333−3333−33−3333−3333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1256666-3-6-6-6-6-3-3-33333000000006000033-3-3−3333−333333−3333−33000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12666-6-6-36-600-33333−3333−33000000000−3i23i2−3i23i2-3333−333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12766-6-6-36-600-33333−3333−330000000003i2−3i23i2−3i2-3333−33−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12866-6-6-36-600-333−3333−3333000000000−3i23i2−3i23i2-33−33333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966-6-6-36-600-333−3333−33330000000003i2−3i23i2−3i2-33−3333−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13066-6-6-3-6600-33333−3333−33000000000−3i23i23i2−3i23-3−33333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13166-6-6-3-6600-33333−3333−330000000003i2−3i2−3i23i23-3−3333−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13266-6-6-3-6600-333−3333−3333000000000−3i23i23i2−3i23-333−333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13366-6-6-3-6600-333−3333−33330000000003i2−3i2−3i23i23-333−33−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13412-1212-12-60012-126-66-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13512-1212-12-600-12126-6666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13612-12-1212-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-12-1212-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.