Finite Group Databasebeta

← Group #13149934

Character table — Group #13149934

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11222222222224444444444444444668888888888888888888888888881212121212121212121212161616161616161618182424242424242424242424242727363636363654727272108108108
order123346699918181823468999121218181836363624661212121818182424242436363636363672727272727272727244681218181836363661218181836363624121224363636363636727272224468124121224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1
χ411111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1111
χ5111111111111111-11-1111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-111111111-1111-1-1-1111-1-1111-1-1-1-1-1-1111-11-1111-1-11-1-1
χ6111111111111111-11-1111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-111111111-1111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-11-1-1-111-111
χ7111111111111111-11-111111111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111-1-1-111-111-1-1-1111111-1-11-11-11-11-1-1-111
χ8111111111111111-11-111111111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-111111111-11-11-11-1111-1-1
χ91111111111111-1111-11111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111111-11-1-1-111111-11-1-1-1-1111-1-1-111-111-111-11-1-11-1
χ101111111111111-1111-11111111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11111111-11-1-1-1111-1-1-11-1-1-1-1111-1-1-1-1-11-1-11-1-11-111-11
χ111111111111111-1111-111111111111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1111111-11111-1-1-1111-1-1-111-11-1-11-11-11
χ121111111111111-1111-111111111111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1111-1-11-11111-1-1-1111111-1-11-111-11-11-1
χ131111111111111-11-1111111111111111-1-1-1-11-1-1-11111-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111111-1-11111-1-11-1-11
χ141111111111111-11-1111111111111111-1-1-1-11-1-1-11111-1-1-1111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-111-1-1-1-111-111-1
χ151111111111111-11-11111111111111-1-1-1-1-1-11-1-1-11111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1111-1-1-1111-1
χ161111111111111-11-11111111111111-1-1-1-1-1-11-1-1-11111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-11111-1-1-1111-1-1-11
χ172222222-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-100222-1-1-1-1-1-1-1-1-100000000000000
χ182222222-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-2-222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211111122-1-1-1-1-1-100-2-2-211111111100000000000000
χ192222222-1-1-1-1-1-122-22-2-1-1-122-1-1-1-1-1-12222-2-22-1-1-1-2-2-2-2111-1-1-11111111112-22-22-1-1-1-1-1-12-2-1-1-1111002-2-2-1-1-111111100000000000000
χ202222222-1-1-1-1-1-122-22-2-1-1-122-1-1-1-1-1-1-2-222-2-22-1-1-1-2-2-2-2111-1-1-1111111111-22-22-21111112-2-1-1-111100-222111-1-1-1-1-1-100000000000000
χ212222222-1-1-1-1-1-1-2222-2-1-1-122-1-1-1-1-1-122-2-2222111-2-2-2-2-1-1-1-1-1-1111111111-222-22-1-1-1-1-1-1-22111-1-1-100-22-2111-1-1-111100000000000000
χ222222222-1-1-1-1-1-1-2222-2-1-1-122-1-1-1-1-1-1-2-2-2-2222111-2-2-2-2-1-1-1-1-1-11111111112-2-22-2111111-22111-1-1-1002-22-1-1-1111-1-1-100000000000000
χ232222222-1-1-1-1-1-1-22-222-1-1-122-1-1-1-1-1-122-2-2-2-221112222111-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-211111100-2-22111111-1-1-100000000000000
χ242222222-1-1-1-1-1-1-22-222-1-1-122-1-1-1-1-1-1-2-2-2-2-2-221112222111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2111111-2-21111110022-2-1-1-1-1-1-111100000000000000
χ252222-22222222202020222-2-2222-2-2-22-20000-20000000000-2-2-20000000000020-2222-2-2-2000000002-2000000000000220020-2-2000000
χ262222-22222222202020222-2-2222-2-2-22-20000-20000000000-2-2-20000000000020-2222-2-2-200000000-22000000000000-2-200-2022000000
χ272222-22222222202020222-2-2222-2-2-2-220000-20000000000-2-2-200000000000-202-2-2-2222000000002-2000000000000-2-20020-22000000
χ282222-22222222202020222-2-2222-2-2-2-220000-20000000000-2-2-200000000000-202-2-2-222200000000-220000000000002200-202-2000000
χ29222-122-12222222-12-12-1-1-12-1-1-1-1222002-12-1-12222-1-1-1222-1-1-1222-1-1-1-1-1-100000000000-1-1-1-1-1-1-1-1220000000000000022-12-10-1-1-1000
χ30222-122-12222222-12-12-1-1-12-1-1-1-1222002-12-1-12222-1-1-1222-1-1-1222-1-1-1-1-1-100000000000-1-1-1-1-1-1-1-1-2-200000000000000-2-21-210111000
χ31222-122-12222222-1-2-1-2-1-1-12-1-1-1-1222002-1-21-1222-2111-2-2-2-1-1-1-2-2-211111100000000000-11-1-1-111122000000000000002-2-1-2-10-111000
χ32222-122-12222222-1-2-1-2-1-1-12-1-1-1-1222002-1-21-1222-2111-2-2-2-1-1-1-2-2-211111100000000000-11-1-1-1111-2-200000000000000-2212101-1-1000
χ33222-122-1222222-2-12-1-2-1-1-12-1-1-1-122200-212-1-1-2-2-2-2111222-1-1-1-2-2-2111111000000000001-1111-1-1-12200000000000000-22-1-2-101-11000
χ34222-122-1222222-2-12-1-2-1-1-12-1-1-1-122200-212-1-1-2-2-2-2111222-1-1-1-2-2-2111111000000000001-1111-1-1-1-2-2000000000000002-21210-11-1000
χ35222-122-1222222-2-1-2-12-1-1-12-1-1-1-122200-21-21-1-2-2-22-1-1-1-2-2-2-1-1-1222-1-1-1-1-1-100000000000111111112200000000000000-2-2-12-1011-1000
χ36222-122-1222222-2-1-2-12-1-1-12-1-1-1-122200-21-21-1-2-2-22-1-1-1-2-2-2-1-1-1222-1-1-1-1-1-10000000000011111111-2-200000000000000221-210-1-11000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-12-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1-1ζ44−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−ζ6800-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-12-12-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12-1-1ζ44−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−ζ6800111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-121-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-211−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+ζ6800-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-121-2-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-211−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+ζ68001-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-2-12-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681-211ζ44−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−ζ68001-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-2-12-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681-211ζ44−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−ζ6800-11-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-21-2-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-12-1-1−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+ζ680011-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000000000
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−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-21-2-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-12-1-1−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+ζ6800-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000
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χ1028-8-4-40444ζ4−4ζ44+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+2ζ68000000000000000−3i23i2000000000−2ζ5+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+ζ7100000000000000000000000000000000000000000000000
χ1038-8-4-40444ζ4−4ζ44+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+2ζ680000000000000003i2−3i20000000002ζ5−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−ζ7100000000000000000000000000000000000000000000000
χ1048-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52020-202ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52000000000000000−3i23i2000000000ζ5−2ζ7−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+ζ7100000000000000000000000000000000000000000000000
χ1058-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52020-202ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000003i2−3i2000000000−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−ζ7100000000000000000000000000000000000000000000000

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