Finite Group Databasebeta

← Group #13149991

Character table — Group #13149991

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222222444444444444444444668888888888888888888888888812121212121212121212121616161616161616181818181818242424242424242424242424363636363654547272108108108
order1233466999181818344689991212181818242436363624121212121224242436363636363636363672727272727272727224681218181836363612123636363636362466886121818182436363672727244122424241212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1
χ41111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111-11-111111111-1-1111111-11-11-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-11-11-111111111-1111-1-1-11111-1-11-1111-1-1-1-1-1-1-11-11-1-1111-1-11-1
χ6111111111111111-11-111111111-1-1111111-11-11-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-11-11-111111111-1111-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-11-111-1-1-111-11
χ7111111111111111-11-111111111-1-1111-1-11-11-11-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111-1-1-11111-1-1-11-1-1-111111111-11-1-1-1-11-11-11
χ8111111111111111-11-111111111-1-1111-1-11-11-11-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-111-11-1-1-11111111-11-11111-11-11-1
χ911111111111111-111-111111111-1-111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111111-11-1-1-11111111-1-1-11-1-1-1-1111-1-1-1-111-1-111-111-1-1
χ1011111111111111-111-111111111-1-111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111111-11-1-1-1111-1-1-1-111-11-1-1-1-1111-1-1-11-1-111-1-11-1-111
χ1111111111111111-111-111111111-1-1111-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-11111111-1-11-11111-1-1-1111-111-1-1-1-1-11-111
χ1211111111111111-111-111111111-1-1111-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1111-11111-1-1-11111-1-111111-11-1-1
χ1311111111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1111-1-111111-1-1-1-11
χ1411111111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1-11111-1
χ1511111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-1-1-1-1-1111-1-1-1-111-1
χ1611111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-111-1-1-11111-1-11
χ172222222-1-1-1-1-1-122222-1-1-122-1-1-122-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-100000022-1-1-12-1-1-1-1-1-1000000000000
χ182222222-1-1-1-1-1-122222-1-1-122-1-1-122-1-1-1-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211111122-1-1-1-1-1-1000000-2-2111-2111111000000000000
χ192222222-1-1-1-1-1-122-22-2-1-1-122-1-1-1-2-2-1-1-1222-22-22-2-2-2-1-1-1111-1-1-11111111112-22-22-1-1-1-1-1-12-2-1-1-11110000002-2-1-1-1-2111111000000000000
χ202222222-1-1-1-1-1-122-22-2-1-1-122-1-1-1-2-2-1-1-1-2-22-22-22-2-2-2-1-1-1111-1-1-1111111111-22-22-21111112-2-1-1-1111000000-221112-1-1-1-1-1-1000000000000
χ212222222-1-1-1-1-1-12-222-2-1-1-122-1-1-1-2-2-1-1-122-22-222-2-2-2111-1-1-1-1-1-1111111111-222-22-1-1-1-1-1-1-22111-1-1-1000000-22111-2-1-1-1111000000000000
χ222222222-1-1-1-1-1-12-222-2-1-1-122-1-1-1-2-2-1-1-1-2-2-22-222-2-2-2111-1-1-1-1-1-11111111112-2-22-2111111-22111-1-1-10000002-2-1-1-12111-1-1-1000000000000
χ232222222-1-1-1-1-1-12-2-222-1-1-122-1-1-122-1-1-122-2-2-2-22222111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-2111111000000-2-21112111-1-1-1000000000000
χ242222222-1-1-1-1-1-12-2-222-1-1-122-1-1-122-1-1-1-2-2-2-2-2-22222111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2111111-2-211111100000022-1-1-1-2-1-1-1111000000000000
χ252222-22222222220020222-2-222200-2-2-22-20000-2000000000-2-2-20000000000020-2222-2-2-2000000002-2220000000000000000-200-2200000
χ262222-22222222220020222-2-222200-2-2-22-20000-2000000000-2-2-20000000000020-2222-2-2-200000000-22-2-200000000000000002002-200000
χ272222-22222222220020222-2-222200-2-2-2-220000-2000000000-2-2-200000000000-202-2-2-2222000000002-2220000000000000000-2002-200000
χ282222-22222222220020222-2-222200-2-2-2-220000-2000000000-2-2-200000000000-202-2-2-222200000000-22-2-20000000000000000200-2200000
χ29222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-1-122-1-1-1-1ζ44−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+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6822-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ30222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-1-122-1-1-1-1ζ44−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+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-21-21−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ31222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-2-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-112-2-1111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ682-2-1-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ32222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-2-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-112-2-1111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-22121−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000001-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ33222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-22-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-1-22-1111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68-22-1-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000001-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ34222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-22-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-1-22-1111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ682-2121−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ35222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682211-2-2-1-1-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000011−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ36222-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-2-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-211-2-2-1-1-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68221-21−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6811−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ37222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-1-122-1-1-1-1ζ4−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+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6822-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ38222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-1-122-1-1-1-1ζ4−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+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-21-21−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ681−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ39222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-2-1-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-112-2-1111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ682-2-1-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ40222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12-2-1-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-112-2-1111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-22121−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000001-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ41222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-22-1-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68221-1-22-1111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68-22-1-2-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000001-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ681ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000000
χ42222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-22-1-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-21-1-22-1111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ682-2121−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ681-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
χ43222-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-2-2-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682211-2-2-1-1-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68-2-2-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000011−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
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χ1038-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68200-20−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682i6−2i600000000000−i6i6000000000000ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ71−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ71−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ712ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ71ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ71−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ710000000000000000000000000000000000000000000000000
χ1048-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68200-20−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2i62i600000000000i6−i6000000000000−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ71ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ712ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ71−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ71−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ71ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ710000000000000000000000000000000000000000000000000
χ1058-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68200-20−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682i6−2i600000000000−i6i6000000000000−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ712ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ71ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ71−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ71ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ71−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ710000000000000000000000000000000000000000000000000
χ1068-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68200-20−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2i62i600000000000i6−i60000000000002ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ71−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ71−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ71ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ71−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ71ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ710000000000000000000000000000000000000000000000000
χ1078-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52200-202ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522i6−2i600000000000−i6i6000000000000ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ71−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ71ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ71−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ71−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ712ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ710000000000000000000000000000000000000000000000000
χ1088-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52200-202ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2i62i600000000000i6−i6000000000000−ζ5+2ζ7−ζ13+ζ23+ζ31−2ζ53−2ζ61+2ζ71ζ5−2ζ7+ζ13−ζ23−ζ31+2ζ53+2ζ61−2ζ71−ζ5−ζ7+2ζ13+ζ23−2ζ31+ζ53+ζ61−ζ71ζ5+ζ7−2ζ13−ζ23+2ζ31−ζ53−ζ61+ζ712ζ5−ζ7−ζ13−2ζ23+ζ31+ζ53+ζ61−ζ71−2ζ5+ζ7+ζ13+2ζ23−ζ31−ζ53−ζ61+ζ710000000000000000000000000000000000000000000000000

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