Finite Group Databasebeta

← Group #13149958

Character table — Group #13149958

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222222444444444444444444668888888888888888888888888812121212121212121212121616161616161616181818181818242424242424242424242424363636363654547272108108108
order12334669991818182346899912121818182424363636246612121218181824242436363636363672727272727272727244681218181836363661218181836363624881212121224363636363636727272246242424612448
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
χ5111111111111111-11-111111111-1-11111111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-111111111-1111-1-1-111-1-1111-1-1111-1-1-1-1-1-1-111-1-111-111-1-1
χ6111111111111111-11-111111111-1-11111111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-111111111-1111-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-11-1-111-1-11-1-111
χ7111111111111111-11-111111111-1-1111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111-1-1-111-1-111-111-1-1-1111111-111-1-1-1-1-11-111
χ8111111111111111-11-111111111-1-1111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-111-1-1-11111111-1-111111-11-1-1
χ91111111111111-1111-111111111-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111111-11-1-1-111111-1-111-11-1-1-1-1111-1-1-11-11-1-1111-1-11-1
χ101111111111111-1111-111111111-1-111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111111-11-1-1-1111-1-111-1-1-11-1-1-1-1111-1-1-1-11-111-1-1-111-11
χ111111111111111-1111-111111111-1-1111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-111111-1-1111-11111-1-1-11111-11-1-1-1-11-11-11
χ121111111111111-1111-111111111-1-1111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-11-11111-1-1-1111-11-11111-11-11-1
χ131111111111111-11-111111111111111111-1-1-1-11-1-1-1111-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1111-1-111111-1-1-1-11
χ141111111111111-11-111111111111111111-1-1-1-11-1-1-1111-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-11111-1
χ151111111111111-11-1111111111111111-1-1-1-1-1-11-1-1-1111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1-1-1-1-1111-1-1-1-111-1
χ161111111111111-11-1111111111111111-1-1-1-1-1-11-1-1-1111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-111-1-1-11111-1-11
χ172222222-1-1-1-1-1-122222-1-1-122-1-1-122-1-1-12222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1000000222-1-1-1-1-1-1-1-1-1000000000000
χ182222222-1-1-1-1-1-122222-1-1-122-1-1-122-1-1-1-2-222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211111122-1-1-1-1-1-1000000-2-2-2111111111000000000000
χ192222222-1-1-1-1-1-122-22-2-1-1-122-1-1-1-2-2-1-1-12222-2-22-1-1-1-2-2-2111-1-1-11111111112-22-22-1-1-1-1-1-12-2-1-1-11110000002-2-2-1-1-1111111000000000000
χ202222222-1-1-1-1-1-122-22-2-1-1-122-1-1-1-2-2-1-1-1-2-222-2-22-1-1-1-2-2-2111-1-1-1111111111-22-22-21111112-2-1-1-1111000000-222111-1-1-1-1-1-1000000000000
χ212222222-1-1-1-1-1-1-2222-2-1-1-122-1-1-1-2-2-1-1-122-2-2222111-2-2-2-1-1-1-1-1-1111111111-222-22-1-1-1-1-1-1-22111-1-1-1000000-22-2111-1-1-1111000000000000
χ222222222-1-1-1-1-1-1-2222-2-1-1-122-1-1-1-2-2-1-1-1-2-2-2-2222111-2-2-2-1-1-1-1-1-11111111112-2-22-2111111-22111-1-1-10000002-22-1-1-1111-1-1-1000000000000
χ232222222-1-1-1-1-1-1-22-222-1-1-122-1-1-122-1-1-122-2-2-2-22111222111-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-2111111000000-2-22111111-1-1-1000000000000
χ242222222-1-1-1-1-1-1-22-222-1-1-122-1-1-122-1-1-1-2-2-2-2-2-22111222111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2111111-2-211111100000022-2-1-1-1-1-1-1111000000000000
χ252222-22222222202020222-2-222200-2-2-22-20000-2000000000-2-2-20000000000020-2222-2-2-2000000002-200-2-200000000000000200-2200000
χ262222-22222222202020222-2-222200-2-2-22-20000-2000000000-2-2-20000000000020-2222-2-2-200000000-22002200000000000000-2002-200000
χ272222-22222222202020222-2-222200-2-2-2-220000-2000000000-2-2-200000000000-202-2-2-2222000000002-200-2-2000000000000002002-200000
χ282222-22222222202020222-2-222200-2-2-2-220000-2000000000-2-2-200000000000-202-2-2-222200000000-22002200000000000000-200-2200000
χ29222-122-12222222-12-12-1-1-12-1-1-1-1-1-1222002-12-1-12222-1-1222-1-1-1222-1-1-1-1-1-100000000000-1-1-1-1-1-1-1-12222-1-100000000000022-1-1-100-1-1000
χ30222-122-12222222-12-12-1-1-12-1-1-1-1-1-1222002-12-1-12222-1-1222-1-1-1222-1-1-1-1-1-100000000000-1-1-1-1-1-1-1-1-2-2-2-211000000000000-2-21110011000
χ31222-122-12222222-1-2-1-2-1-1-12-1-1-1-111222002-1-21-1222-211-2-2-2-1-1-1-2-2-211111100000000000-11-1-1-111122-2-2-1-1000000000000-22-111001-1000
χ32222-122-12222222-1-2-1-2-1-1-12-1-1-1-111222002-1-21-1222-211-2-2-2-1-1-1-2-2-211111100000000000-11-1-1-1111-2-222110000000000002-21-1-100-11000
χ33222-122-1222222-2-12-1-2-1-1-12-1-1-1-11122200-212-1-1-2-2-2-211222-1-1-1-2-2-2111111000000000001-1111-1-1-122-2-2-1-10000000000002-2-11100-11000
χ34222-122-1222222-2-12-1-2-1-1-12-1-1-1-11122200-212-1-1-2-2-2-211222-1-1-1-2-2-2111111000000000001-1111-1-1-1-2-22211000000000000-221-1-1001-1000
χ35222-122-1222222-2-1-2-12-1-1-12-1-1-1-1-1-122200-21-21-1-2-2-22-1-1-2-2-2-1-1-1222-1-1-1-1-1-100000000000111111112222-1-1000000000000-2-2-1-1-10011000
χ36222-122-1222222-2-1-2-12-1-1-12-1-1-1-1-1-122200-21-21-1-2-2-22-1-1-2-2-2-1-1-1222-1-1-1-1-1-10000000000011111111-2-2-2-2110000000000002211100-1-1000
χ3722-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-12-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1ζ44−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−ζ68000000-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ3822-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-12-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-12-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1ζ44−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−ζ68000000111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ3922-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-2-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-121-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68111−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+ζ68000000-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ4022-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-2-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-121-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68111−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+ζ680000001-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ4122-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-12-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-2-12-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68111ζ44−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−ζ680000001-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ4222-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-12-1-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-2-12-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68111ζ44−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−ζ68000000-11-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ4322-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-21-2-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1-1-1−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+ζ6800000011-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000000
χ4422-122-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-2-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-21-2-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1-1-1−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+ζ68000000-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000000
χ4522-122-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-12-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-12-12-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1ζ4−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+ζ68000000-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000000
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χ1048-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68020-20−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2626000000000000006−6000000000ζ5−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
χ1058-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68020-20−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6826−2600000000000000−660000000002ζ5+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
χ1068-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68020-20−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2626000000000000006−6000000000−2ζ5−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
χ1078-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52020-202ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5226−2600000000000000−66000000000−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
χ1088-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52020-202ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2626000000000000006−6000000000ζ5+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

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