Finite Group Databasebeta

← Group #13140495

Character table — Group #13140495

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222222222222222244444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636363636363636216216
order12222336666999181818181818181818234666666666699912121818181818181818181818181818186666612121218181818181818181818181818181836363636363636363622666618181818181818181818181841212363636363636224466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111-11-111111-1-1111111-1-1111111111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1
χ611111111111111111111111-11-111111-1-1111111-1-1111111111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11
χ711111111111111111111111-11-111111-1-1111111-1-1111111111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-111-1-1-11
χ811111111111111111111111-11-111111-1-1111111-1-1111111111111111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-111-1-1111-1
χ922222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
χ1022222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-211111100000000000000
χ1122222222222-1-1-1-1-1-1-1-1-1-1-1-1-22-222222-2-2222-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-2-2111-1-1-1-1-1-1111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000000000
χ1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-22-222222-2-2222-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-2-2111-1-1-1-1-1-1111111111111111-2-2-2-2-2-2111111111111222-1-1-1-1-1-100000000000000
χ13222222-1222-12222222222222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000000000000000002222-1-1-1-1-1-1-1-100
χ14222222-1222-12222222222222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000000000000000000-2-2-2-21111111100
χ15222222-1222-1222222222222-2-1-222-1-1-111-1-1-1-1-1-111222222-1-1-1-1-1-1-1-1-1-2-1-111-211-2-2-2-1-1-1-1-1-1111111-2-2-21111110000000000000000000000000002-22-2-1-111-1-11100
χ16222222-1222-1222222222222-2-1-222-1-1-111-1-1-1-1-1-111222222-1-1-1-1-1-1-1-1-1-2-1-111-211-2-2-2-1-1-1-1-1-1111111-2-2-2111111000000000000000000000000000-22-2211-1-111-1-100
χ1722222-12-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ52-12-1-122222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ522ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ522-1-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ52-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500000000000000
χ1822222-12-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ52-12-1-122222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ522ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-21111−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5-211−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500000000000000
χ1922222-12-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-1-2-1-1222-2-2-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ51-1-111111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ522-1-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5-211−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500000000000000
χ2022222-12-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-1-2-1-1222-2-2-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ51-1-111111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-2-21111−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ52-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500000000000000
χ2122222-12-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ82-12-1-122222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ822ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ822-1-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ82-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800000000000000
χ2222222-12-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ82-12-1-122222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ822ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-21111−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8-211−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800000000000000
χ2322222-12-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-1-2-1-1222-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-2-2ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ81-1-111111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ822-1-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8-211−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800000000000000
χ2422222-12-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-1-2-1-1222-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8-2-2ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ81-1-111111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-2-21111−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ82-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800000000000000
χ2522222-12-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ72-12-1-122222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ722ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ722-1-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ72-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700000000000000
χ2622222-12-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ72-12-1-122222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ722ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-21111−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7-211−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700000000000000
χ2722222-12-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-1-2-1-1222-2-2-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ71-1-111111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ722-1-1-1-1ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7-211−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700000000000000
χ2822222-12-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-1-2-1-1222-2-2-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ71-1-111111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-2-21111−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ72-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700000000000000
χ29222-2-222222222222222222222-2-2-22-2-222222222-2-2-2-2-2-2-2-22222222222-2-222-2-2-2222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000
χ30222-2-2222222222222222222-222-2-22-2-2-2-222222222-2-2-2-2-2-2222222222-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222200000000000000000000000000000000000000000
χ31222-2-2222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-22-2-222222-1-1-1-2-2111111-1-1-1-1-1-1-1-1-12-2-222-2-2-2-1-1-1111111-1-1-1-1-1-1111111111000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000i3−i3i3−i3i3−i300000000000000
χ32222-2-2222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-22-2-222222-1-1-1-2-2111111-1-1-1-1-1-1-1-1-12-2-222-2-2-2-1-1-1111111-1-1-1-1-1-1111111111000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−i3i3−i3i3−i3i300000000000000
χ33222-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-222-2-22-2-2-2-2222-1-1-122111111-1-1-1-1-1-1-1-1-1-2-2-2-2-2222111111111111111-1-1-1-1-1-1-1-1-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000−i3i3−i3i3−i3i300000000000000
χ34222-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-222-2-22-2-2-2-2222-1-1-122111111-1-1-1-1-1-1-1-1-1-2-2-2-2-2222111111111111111-1-1-1-1-1-1-1-1-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000i3−i3i3−i3i3−i300000000000000
χ35222-2-22-1222-12222222222222-1-2-2-2-111-1-1-1-1-1-1-1-111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1211-1-1-211222111111-1-1-1-1-1-1-2-2-21111110000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300
χ36222-2-22-1222-12222222222222-1-2-2-2-111-1-1-1-1-1-1-1-111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1211-1-1-211222111111-1-1-1-1-1-1-2-2-21111110000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300
χ37222-2-22-1222-1222222222222-2-12-2-2-11111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-211112-1-1-2-2-2111111111111222-1-1-1-1-1-10000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300
χ38222-2-22-1222-1222222222222-2-12-2-2-11111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-211112-1-1-2-2-2111111111111222-1-1-1-1-1-10000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300
χ39222-2-2-12-1-1-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ52-1-2112-2-222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-111-1-1111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500i3i3−i3−i3ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ50i3−i3ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ500000000000000
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χ46222-2-2-12-1-1-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-12112-2-2-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ822−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ811111-1-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800−i3−i3i3i3ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7−ζ4+ζ5−ζ4+ζ5ζ4−ζ5ζ4−ζ5−ζ+ζ8−ζ+ζ8ζ−ζ8ζ−ζ80i3−i3−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ800000000000000
χ47222-2-2-12-1-1-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ72-1-2112-2-222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-111-1-1111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700i3i3−i3−i3ζ4−ζ5ζ4−ζ5−ζ4+ζ5−ζ4+ζ5ζ−ζ8ζ−ζ8−ζ+ζ8−ζ+ζ8−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ70i3−i3ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ700000000000000
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χ5822-2-22222-2-22222222-2-2-2-2-2-2020-22-2-2200-2-2222200-22-22-22-2-2-2-2-2-22220-2200000000-22-22-22000000000000000000000000000000000000000000-2020-2-200220000
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χ1268-8000-4-444i3−4i344ζ4+4ζ54ζ+4ζ84ζ2+4ζ7−4ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ74ζ4−4ζ5−4ζ4+4ζ54ζ−4ζ8−4ζ+4ζ8−4ζ2+4ζ74ζ2−4ζ70200000000−2i32i3-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000000−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8000-4-44−4i34i344ζ+4ζ84ζ2+4ζ74ζ4+4ζ5−4ζ−4ζ8−4ζ2−4ζ7−4ζ4−4ζ5−4ζ+4ζ84ζ−4ζ84ζ2−4ζ7−4ζ2+4ζ7−4ζ4+4ζ54ζ4−4ζ502000000002i3−2i3-2−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5000000002ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ50000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8000-4-44−4i34i344ζ2+4ζ74ζ4+4ζ54ζ+4ζ8−4ζ2−4ζ7−4ζ4−4ζ5−4ζ−4ζ84ζ2−4ζ7−4ζ2+4ζ7−4ζ4+4ζ54ζ4−4ζ5−4ζ+4ζ84ζ−4ζ802000000002i3−2i3-2−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ800000000−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ80000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8000-4-44−4i34i344ζ4+4ζ54ζ+4ζ84ζ2+4ζ7−4ζ4−4ζ5−4ζ−4ζ8−4ζ2−4ζ7−4ζ4+4ζ54ζ4−4ζ5−4ζ+4ζ84ζ−4ζ84ζ2−4ζ7−4ζ2+4ζ702000000002i3−2i3-2−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7000000002ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.