Finite Group Databasebeta

← Group #13138429

Character table — Group #13138429

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444666612121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363654545454108108
order122244443366666699912121212121212121818181818181818183636363636363636363636363666889991212121218181818181818181824242424242424242424242424242424363636363636363636363636727272727272727272727272727272727272727272727272727272727272727272727272224466881212181818181818242424243636363636367272727272727272727272728888441212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1
χ91111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i111-1-1-1-1111111111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-111i−i-1-1111111ii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i1-111-1-1ii−i−iii−i−i1-1
χ101111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i111-1-1-1-1111111111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-111i−i-1-1111111ii−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−i−iii-11-1-111−i−iii−i−iii-11
χ111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i111-1-1-1-1111111111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-1−ii11-1-1-1-1-1-1−i−iii111111−i−i−i−i−i−iiiiiiiii−i−i1-111-1-1ii−i−i−i−iii-11
χ121111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i111-1-1-1-1111111111ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-1−ii11-1-1-1-1-1-1−i−iii111111−i−i−i−i−i−iiiiiii−i−iii-11-1-111−i−iiiii−i−i1-1
χ131111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii111-1-1-1-1111111111−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-111−ii-1-1111111−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiiiii−i−i-11-1-111ii−i−iii−i−i-11
χ141111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii111-1-1-1-1111111111−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-111−ii-1-1111111−i−iii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii1-111-1-1−i−iii−i−iii1-1
χ151111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii111-1-1-1-1111111111−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-1-1i−i11-1-1-1-1-1-1ii−i−i111111iiiiii−i−i−i−i−i−iii−i−i-11-1-111ii−i−i−i−iii1-1
χ161111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii111-1-1-1-1111111111−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-1-1i−i11-1-1-1-1-1-1ii−i−i111111iiiiii−i−i−i−i−i−i−i−iii1-111-1-1−i−iiiii−i−i-11
χ172222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2111111-2-2-2-211111111111111111100000000000000000000
χ192222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111222222-2-222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111111100000000000000000000
χ202222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-2-2-2-2-2-222-2-21111112222111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ21222222222-1-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-122ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ68-1-1-1-122ζ44−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−ζ68-1-1-1-12222-1-1-1-1-1-1-1-1ζ44−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+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+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ682222-1-122-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1-1-1ζ44−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−ζ6800000000000000000000
χ22222222222-1-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-122ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ68-1-1-1-122ζ44−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−ζ68-1-1-1-12222-1-1-1-1-1-1-1-1ζ44−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+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+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68-2-2-2-211-2-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ681111−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000000000000000
χ23222222222-1-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-122ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ68-1-1-1-1-2-2ζ44−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−ζ681111-2-2-2-211111111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−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+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+ζ682222-1-1-2-2-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ681111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800000000000000000000
χ24222222222-1-1-12-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-1-1-122ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−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−ζ68-1-1-1-1-2-2ζ44−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−ζ681111-2-2-2-211111111ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−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+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+ζ68-2-2-2-2112211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-1-1-1-1−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800000000000000000000
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χ1864-4-44−4i4i4i−4i-24-442-42-2-2-2-22i−2i−4i4i4i−4i−2i2i2-22-22-22222i−2i2i−2i2i−2i−2i2i−2i2i−2i2i-22-22001112i−2i−2i2i-11-11-11-1-1-100002ζ21−2ζ69−2ζ21+2ζ69−2ζ15+2ζ392ζ15−2ζ392ζ21−2ζ69−2ζ21+2ζ692ζ21−2ζ69−2ζ21+2ζ69−2ζ15+2ζ392ζ15−2ζ39−2ζ15+2ζ392ζ15−2ζ39−ii−ii−iii−ii−ii−i000000000000−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ390000000000000000000000000000000000000000000000000000000000
χ1874-4-44−4i4i4i−4i-2-22-2222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i2i−2i−2i2i−2i2i−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ221-11-100−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−iii−iζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000−2ζ21+2ζ692ζ21−2ζ692ζ15−2ζ39−2ζ15+2ζ39ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22000000000000−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ710000000000000000000000000000000000000000000000000000000000
χ1884-4-44−4i4i4i−4i-2-22-2222-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i−2i2i−2i−2i2i−2i2i−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ221-11-100−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−iii−iζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800002ζ21−2ζ69−2ζ21+2ζ69−2ζ15+2ζ392ζ15−2ζ39−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22000000000000ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ710000000000000000000000000000000000000000000000000000000000
χ1894-4-44−4i4i4i−4i-2-22-2222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682i−2i2i−2i−2i2i−2i2i−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ701-11-100−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−iii−iζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000−2ζ21+2ζ692ζ21−2ζ692ζ15−2ζ39−2ζ15+2ζ39ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ700000000000002ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ710000000000000000000000000000000000000000000000000000000000
χ1904-4-44−4i4i4i−4i-2-22-2222-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682i−2i2i−2i−2i2i−2i2i−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ702ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ701-11-100−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−iii−iζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800002ζ21−2ζ69−2ζ21+2ζ69−2ζ15+2ζ392ζ15−2ζ39−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70000000000000−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ710000000000000000000000000000000000000000000000000000000000
χ1914-4-44−4i4i4i−4i-2-22-2222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i2i−2i−2i2i−2i2i2ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ701-11-100ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−iii−i−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000−2ζ21+2ζ692ζ21−2ζ692ζ15−2ζ39−2ζ15+2ζ39ζ21−ζ69−ζ21+ζ69ζ21−ζ69−ζ21+ζ69−ζ15+ζ39ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70000000000000−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ61−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ710000000000000000000000000000000000000000000000000000000000
χ1924-4-44−4i4i4i−4i-2-22-2222-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i−2i2i−2i−2i2i−2i2i2ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14+2ζ22−2ζ14−2ζ22−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−2ζ14−2ζ222ζ14+2ζ222ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ702ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ701-11-100ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−iii−i−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200002ζ21−2ζ69−2ζ21+2ζ69−2ζ15+2ζ392ζ15−2ζ39−ζ21+ζ69ζ21−ζ69−ζ21+ζ69ζ21−ζ69ζ15−ζ39−ζ15+ζ39ζ15−ζ39−ζ15+ζ39−ζ14−ζ22ζ14+ζ22ζ14+ζ62−ζ70−ζ14−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70ζ14+ζ22−ζ14−ζ22−ζ14−ζ62+ζ70ζ14+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70000000000000ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5+ζ13+2ζ53+2ζ61−ζ5−ζ13−2ζ53−2ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61ζ5−2ζ13−ζ53−ζ61−ζ5+2ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ61−2ζ5+ζ13−ζ53−ζ612ζ5−ζ13+ζ53+ζ612ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ712ζ7+ζ23+ζ31+2ζ71−2ζ7−ζ23−ζ31−2ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7+ζ23−2ζ31−ζ71ζ7−ζ23+2ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ71−ζ7−2ζ23+ζ31−ζ71ζ7+2ζ23−ζ31+ζ710000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.