Finite Group Databasebeta

← Group #11859317

Character table — Group #11859317

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444488888888888888888888888888888888999999991818181818181818181818183636363636363636
order1222444422222234444446669991212121218181818181818181836363636363636363636363622444444666666121212121212181818181818181818181818181818181818363636363636363636363636363636363636661212121212121818181818183636363636363636363636363636363636368888888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-1111-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111-1-1-1-1111-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111-1-1-1-1111-1-1-1-11111111111111111111111111111111-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111-1-1-1-1111-1-1-1-11111111111111111111111111111111-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-111-1-11-1-111-1-111111111111111111111111111111111-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1111-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-111-1-11-1-111-1-111111111111111111111111111111111-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-111-1-11-1-111-1-11111111111111111111111111111111-11-1-111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-1-1-1111-1-1-1-1-1-1111111-1-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-111-1-11-1-111-1-11111111111111111111111111111111-11-1-111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-1-1-1111-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1111-1-1-1-11111111111111111111111111111111111-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111-1111-1-1-1-1-1-1-1-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1411111111-1-1-1-1111-1-1-1-11111111111111111111111111111111111-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111-1111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1511111111-1-1-1-1111-1-1-1-1111111111111111111111111111111111-1111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1611111111-1-1-1-1111-1-1-1-1111111111111111111111111111111111-1111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ171111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1111iiii−i−i−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-1-1111-1-1-1111-1-1-1-1-1-1111−i−i−i−iiiii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111-1-1-1111-1-1-1111111-1-1-1iiii−i−i−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111-1-1-1111-1-1-1111111-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-11-11111-1-1-1-1-1-1111-1-1-1111-1-1-1111iiii−i−i−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ221111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-11-11111-1-1-1-1-1-1111-1-1-1111-1-1-1111−i−i−i−iiiii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ231111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-11-11-1-1-1-1111111-1-1-1111-1-1-1111-1-1-1iiii−i−i−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ241111-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-11-11-1-1-1-1111111-1-1-1111-1-1-1111-1-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ251111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-1-1111111-1-1-1111111iiii−i−i−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ281111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-1-1111111-1-1-1111111−i−i−i−iiiiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ291111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-111-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ301111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-111-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ311111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111iiii−i−i−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ321111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111−i−i−i−iiiiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ33222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ34222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000
χ3522222222222222-1222222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ6822222222-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000000000000000
χ3622222222222222-1222222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ68-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6811111111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000000000000000
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χ872222-2-2-2-2-2-222-2-2-122-2-222-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521111−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−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−ζ52222-2-22-2-211-1-111-1-111-1-1ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52-1-1-111-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ520000000000000000000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.