Finite Group Databasebeta

← Group #11722535

Character table — Group #11722535

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222222222222222222222444444444444444444444444444444444444444444666612121212121212121212121212121212181818183636363654545454
order1222233666666999181818181818181818366666666666999181818181818181818181818181818181818181818181818181818224466121218181818181836363636363622446612122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-11111-1-1111111111111111-1-11-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-11-11-11-11-11-1
χ6111-1-11111-1-1111111111111111-1-11-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-11-11-11-11-11-11
χ7111-1-11111-1-1111111111111111-1-11-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111-11-11-11-1-11-11
χ8111-1-11111-1-1111111111111111-1-11-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-11-11-11-111-11-1
χ911-11-111-1-11111111-1-1-1-1-1-111111-1-1-11-1-111-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1111-1-1-1111-1-1-111-1-111-1-11-1-11
χ1011-11-111-1-11111111-1-1-1-1-1-111111-1-1-11-1-111-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1111-1-1-1111-1-1-1-1-111-1-111-111-1
χ1111-11-111-1-11111111-1-1-1-1-1-111111-1-1-11-1-111-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-1-1-1111-1-1-111111-1-111-1-1-111-1
χ1211-11-111-1-11111111-1-1-1-1-1-111111-1-1-11-1-111-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11-1-1-1111-1-1-1111-1-111-1-1111-1-11
χ1311-1-1111-1-1-1-111111-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-1
χ1411-1-1111-1-1-1-111111-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1111-111-1-111-1-1-111
χ1511-1-1111-1-1-1-111111-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1111111-1-1-11-1-111-1-11-1-111
χ1611-1-1111-1-1-1-111111-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1111111-1-1-1-111-1-111-111-1-1
χ172222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111000000000000
χ19222222-122-1-12-1222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-10000
χ20222222-122-1-12-1222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-211110000
χ2122222-12-1-122-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-122-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ52222-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000000
χ2222222-12-1-122-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-122-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-2-2-2-21111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000000
χ2322222-12-1-122-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-122-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ82222-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000000
χ2422222-12-1-122-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-122-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-2-2-2-21111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000000
χ2522222-12-1-122-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-122-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ72222-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000000
χ2622222-12-1-122-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-122-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-2-2-2-21111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000000000
χ27222-2-22222-2-222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2222-2-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-1-1-1111111000000000000
χ28222-2-22222-2-222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2222-2-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-2-222-2-222111111-1-1-1-1-1-1000000000000
χ29222-2-22-122112-1222222222222-1-2-2-11-1-1-11111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000000000002-22-2-11-110000
χ30222-2-22-122112-1222222222222-1-2-2-11-1-1-11111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111111111111100000000000000000000-22-221-11-10000
χ31222-2-2-12-1-1-2-2-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1112-2-1-1-11111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ522-2-2-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000000
χ32222-2-2-12-1-1-2-2-12ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1112-2-1-1-11111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-2-22211-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000000
χ33222-2-2-12-1-1-2-2-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1112-2-1-1-11111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ822-2-2-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000000
χ34222-2-2-12-1-1-2-2-12ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1112-2-1-1-11111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-2-22211-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000000
χ35222-2-2-12-1-1-2-2-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1112-2-1-1-11111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ722-2-2-1-111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000000000
χ36222-2-2-12-1-1-2-2-12ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1112-2-1-1-11111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-2-22211-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000000
χ3722-22-222-2-22222-1-1-1111111-1-1-122-2-2-22-2-222-2-2-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111112-22-22-22-2-1-1-1111-1-1-1111000000000000
χ3822-22-222-2-22222-1-1-1111111-1-1-122-2-2-22-2-222-2-2-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-22-22-22-22111-1-1-1111-1-1-1000000000000
χ3922-22-22-1-2-2-1-12-1222-2-2-2-2-2-2222-12-211-111-1-111-1-1-1222-2-2-2-1-1-1111111-1-1-1-1-1-11111110000000000000000000022-2-2-1-1110000
χ4022-22-22-1-2-2-1-12-1222-2-2-2-2-2-2222-12-211-111-1-111-1-1-1222-2-2-2-1-1-1111111-1-1-1-1-1-111111100000000000000000000-2-22211-1-10000
χ4122-22-2-121122-12ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-11-2-2-111-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ52-22-2-11-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000000
χ4222-22-2-121122-12ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-11-2-2-111-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-22-221-11-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000000
χ4322-22-2-121122-12ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-11-2-2-111-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ82-22-2-11-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000000
χ4422-22-2-121122-12ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-11-2-2-111-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-22-221-11-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000000
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χ834-4000-242i3−2i3002-42ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-2000022i3−2i300002ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ800000000000000000000000000000000000000000000
χ844-4000-242i3−2i3002-42ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7-2000022i3−2i300002ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ700000000000000000000000000000000000000000000
χ854-4000-24−2i32i3002-42ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5-200002−2i32i300002ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ500000000000000000000000000000000000000000000
χ864-4000-24−2i32i3002-42ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-200002−2i32i300002ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ800000000000000000000000000000000000000000000
χ874-4000-24−2i32i3002-42ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7-200002−2i32i300002ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ700000000000000000000000000000000000000000000
χ884-4000-2-22i3−2i32i3−2i3222ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ510000-1−i3i3−i3i33-3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ500000000000000000000000000000000
χ894-4000-2-22i3−2i32i3−2i3222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ810000-1−i3i3−i3i33-3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ500000000000000000000000000000000
χ904-4000-2-22i3−2i32i3−2i3222ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ710000-1−i3i3−i3i33-3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ500000000000000000000000000000000
χ914-4000-2-22i3−2i3−2i32i3222ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ510000-1−i3i3i3−i3-33−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ500000000000000000000000000000000
χ924-4000-2-22i3−2i3−2i32i3222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ810000-1−i3i3i3−i3-33−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ500000000000000000000000000000000
χ934-4000-2-22i3−2i3−2i32i3222ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ710000-1−i3i3i3−i3-33−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ72ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ500000000000000000000000000000000
χ944-4000-2-2−2i32i32i3−2i3222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ510000-1i3−i3−i3i3-33−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8ζ2+ζ7ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ500000000000000000000000000000000
χ954-4000-2-2−2i32i32i3−2i3222ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ810000-1i3−i3−i3i3-33−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ500000000000000000000000000000000
χ964-4000-2-2−2i32i32i3−2i3222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ710000-1i3−i3−i3i3-33−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ500000000000000000000000000000000
χ974-4000-2-2−2i32i3−2i32i3222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ510000-1i3−i3i3−i33-3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8ζ2+ζ7ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ500000000000000000000000000000000
χ984-4000-2-2−2i32i3−2i32i3222ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ810000-1i3−i3i3−i33-3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ500000000000000000000000000000000
χ994-4000-2-2−2i32i3−2i32i3222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ710000-1i3−i3i3−i33-3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ72ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ−2ζ2+ζ4−ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5ζ−ζ2−ζ4−2ζ500000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.