Finite Group Databasebeta

← Group #13140482

Character table — Group #13140482

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222222224444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212181818181818242424242424242424363636363636363636108108216
order1222334466666699918181818181818181822366666669991212121218181818181818181836363636363666666612121818181818181818181818181818181818183636363636368824242424727272727272727272727272441212121241212363636363636444121212121212882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1
χ611111111111111111111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ711111111111111111111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11
χ811111111111111111111111111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1111111-1
χ922222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000222-1-1-1-1-1-1000000000000
χ1022222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000-2-2-2111111000000000000
χ1122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-2-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222111111111111111111-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2111111000000000000
χ1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-2-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222111111111111111111-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000222-1-1-1-1-1-1000000000000
χ13222222-2-22222222222222222220020000222222-2-2-2-2222222222-2-2-2-2-2-2000000-2-2000000000000000000-2-2-2-2-2-2000000000000000000222222000000000-200-2-20000000
χ14222222-2-22222222222222222220020000222222-2-2-2-2222222222-2-2-2-2-2-2000000-2-2000000000000000000-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2000000000200220000000
χ1522222-122-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-12222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ680000002-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000000000000
χ1622222-122-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-12222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-21111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68000000-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000000000000
χ1722222-122-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-1-2-2-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68111111-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68000000-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68000000000000
χ1822222-122-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-1-2-2-2-2-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68111111-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-21111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ680000002-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68000000000000
χ1922222-122-1-12-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-12222-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000002-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000000000
χ2022222-122-1-12-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-12222-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-21111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000
χ2122222-122-1-12-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-1-2-2-2-2-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68111111-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68000000000000
χ2222222-122-1-12-122ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-1-2-2-2-2-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68111111-1-1−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-21111−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000002-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68000000000000
χ2322222-122-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-12222-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1-1-1−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ520000002-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000000000
χ2422222-122-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-12222-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1-1-1-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-21111ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000
χ2522222-122-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-1-2-2-2-2-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52111111-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ5222-1-1-1-1−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000-211ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52000000000000
χ2622222-122-1-12-122−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-2-2-1-2-2-2-2-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5222-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52111111-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-2-21111ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000002-1-1−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52000000000000
χ272222-122222-12-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000000222-1-1-1-1-1-1000
χ282222-122222-12-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111000000000-2-2-2111111000
χ292222-122222-12-1-1222222222222-2-2-11111-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222222-2-21111-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-100000000000000000022-1-1-1-10000000002-2-2-1-11111000
χ302222-122222-12-1-1222222222222-2-2-11111-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222222-2-21111-1-1-2-2-2-2-2-2111111111111-1-1-1-1-1-1000000000000000000-2-21111000000000-22211-1-1-1-1000
χ312222-12-2-222-12-1-122222222222200-1−i3−i3i3i3-1-1-1-1-1-111-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200−i3−i3i3i311000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111100000000000000000022-1-1-1-1000000000-20011−i3−i3i3i3000
χ322222-12-2-222-12-1-122222222222200-1−i3−i3i3i3-1-1-1-1-1-111-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200−i3−i3i3i311000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3111111000000000000000000-2-21111000000000200-1-1i3i3−i3−i3000
χ332222-12-2-222-12-1-122222222222200-1i3i3−i3−i3-1-1-1-1-1-111-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200i3i3−i3−i311000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111100000000000000000022-1-1-1-1000000000-20011i3i3−i3−i3000
χ342222-12-2-222-12-1-122222222222200-1i3i3−i3−i3-1-1-1-1-1-111-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200i3i3−i3−i311000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3111111000000000000000000-2-21111000000000200-1-1−i3−i3i3i3000
χ3522-2-2222-2-2-222-2-2222-2-2-2-2-2-22220020000-2-222222-22-2-2-2-2-2-2-2222222-2-2-20000002-20000000000000000002-22-22-200000000000000000000000000000000002i−2i002i−2i2i−2i000
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χ3722-2-222-22-2-222-2-2222-2-2-2-2-2-22222-222-22-2-2-22222-22-22-2-2-2-2-2-2222-2-2-22222-22-22-2-222-22-22-22-22-22-22-22-22-2-22-22-22000000000000000000000000000000000000000000000
χ3822-2-222-22-2-222-2-2222-2-2-2-2-2-2222-222-22-22-2-22222-22-22-2-2-2-2-2-2222-2-2-2222-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000
χ3922-2-222-22-2-222-2-2-1-1-1111111-1-1-12-222-22-2-2-22-1-1-1-22-22111111-1-1-1111-1-1-12-22-22-2-22-11-11-11-11-11-11-11-11-111-11-11-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000−i3i3−i3i3−i3i3000000000000
χ4022-2-222-22-2-222-2-2-1-1-1111111-1-1-12-222-22-2-2-22-1-1-1-22-22111111-1-1-1111-1-1-12-22-22-2-22-11-11-11-11-11-11-11-11-111-11-11-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000i3−i3i3−i3i3−i3000000000000
χ4122-2-222-22-2-222-2-2-1-1-1111111-1-1-1-222-22-22-2-22-1-1-1-22-22111111-1-1-1111-1-1-1-22-22-22-221-11-11-11-11-11-11-11-11-11-11-11-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000i3−i3i3−i3i3−i3000000000000
χ4222-2-222-22-2-222-2-2-1-1-1111111-1-1-1-222-22-22-2-22-1-1-1-22-22111111-1-1-1111-1-1-1-22-22-22-221-11-11-11-11-11-11-11-11-11-11-11-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000−i3i3−i3i3−i3i3000000000000
χ4322-2-22-1-22112-1-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-2-12-22-211-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-221-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-11-11-111-1ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ6800−i3−i3i3i3−ζ44−ζ52−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4−ζ44−ζ52−ζ4+ζ68−ζ4+ζ68ζ4−ζ68ζ4−ζ680000000−i3i3−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68000000000000
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χ4522-2-22-1-22112-1-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-22-1-22-2211-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-221-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-11-11-1−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ6800−i3−i3i3i3−ζ44−ζ52−ζ68−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4−ζ44−ζ52−ζ4+ζ68−ζ4+ζ68ζ4−ζ68ζ4−ζ680000000i3−i3ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4−ζ68−ζ4+ζ68000000000000
χ4622-2-22-1-22112-1-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-22-1-22-2211-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-221-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-11-11-1−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68−ζ4−ζ6800i3i3−i3−i3ζ44+ζ52+ζ68ζ44+ζ52+ζ68−ζ44−ζ52−ζ68−ζ44−ζ52−ζ68−ζ4−ζ44−ζ52−ζ4−ζ44−ζ52ζ4+ζ44+ζ52ζ4+ζ44+ζ52ζ4−ζ68ζ4−ζ68−ζ4+ζ68−ζ4+ζ680000000−i3i3−ζ44−ζ52−ζ68ζ44+ζ52+ζ68ζ4+ζ44+ζ52−ζ4−ζ44−ζ52−ζ4+ζ68ζ4−ζ68000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.