Finite Group Databasebeta

← Group #11721285

Character table — Group #11721285

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222222222224444444444444444444444444444444444444444121212121212121212121212121212121212181818181818181818181818108108
order12222233666666666699918181818181818181836666666669991818181818181818181818181818181818181818181818181818182466121218181818181836363636363622226666666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-11111111-1-1-1-111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ61111-1-11111111-1-1-1-111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ71111-1-11111111-1-1-1-111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1-11
χ81111-1-11111111-1-1-1-111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1
χ9222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ10222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111100000000000000
χ112222222-122-1-1-1-1-1-1-12222222222222-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-100
χ122222222-122-1-1-1-1-1-1-12222222222222-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-21111111100
χ13222222-12-1-12222222-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ522-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500000000000000
χ14222222-12-1-12222222-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-1-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5-2-21111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500000000000000
χ15222222-12-1-12222222-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ822-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800000000000000
χ16222222-12-1-12222222-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-1-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8-2-21111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800000000000000
χ17222222-12-1-12222222-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ722-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700000000000000
χ18222222-12-1-12222222-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-1-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7-2-21111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700000000000000
χ192222-2-22222222-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-2-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-11111111111112-222-2-2-1-1-1-1-1-111111100000000000000
χ202222-2-22222222-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-12-2-2222-2-2-2-2-1-1-1111111-1-1-1-1-1-1-1-1-1111111111111-22-2-222111111-1-1-1-1-1-100000000000000
χ212222-2-22-122-1-1-111112222222222222-1-2-2-1-1-11111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-111111111111100000000000000000022-2-2-1-1-1-1111100
χ222222-2-22-122-1-1-111112222222222222-1-2-2-1-1-11111-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-100
χ232222-2-2-12-1-1222-2-2-2-2-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-111-1-1-11111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ52-2-1-111ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ500000000000000
χ242222-2-2-12-1-1222-2-2-2-2-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-111-1-1-11111ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5-2211-1-1−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ500000000000000
χ252222-2-2-12-1-1222-2-2-2-2-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-111-1-1-11111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ82-2-1-111ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ800000000000000
χ262222-2-2-12-1-1222-2-2-2-2-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-111-1-1-11111ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8-2211-1-1−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ800000000000000
χ272222-2-2-12-1-1222-2-2-2-2-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-111-1-1-11111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ72-2-1-111ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ700000000000000
χ282222-2-2-12-1-1222-2-2-2-2-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-111-1-1-11111ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7-2211-1-1−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ700000000000000
χ2922-2-22-222-2-22-2-222-2-22222-2-2-2-2-2-222222-22-2-222-2-22222-22-22-22-2-22-2-22-2-222-2-222-2-222-2-200000000000000000000000000000000
χ3022-2-22-222-2-22-2-222-2-22-1-1-1111111-1-1-122-22-2-222-2-2-1-1-1-11-11-11-111-111-111-1-111-1-111-1-111000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000
χ3122-2-22-222-2-22-2-222-2-22-1-1-1111111-1-1-122-22-2-222-2-2-1-1-1-11-11-11-111-111-111-1-111-1-111-1-111000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000
χ3222-2-22-22-1-2-2-111-1-1112222-2-2-2-2-2-2222-12-2-111-1-111-1-1-12-22-22-2-111-111-111-1-111-1-111-1-1110000000000000000000000i3i3−i3−i3i3i3−i3−i300
χ3322-2-22-22-1-2-2-111-1-1112222-2-2-2-2-2-2222-12-2-111-1-111-1-1-12-22-22-2-111-111-111-1-111-1-111-1-1110000000000000000000000−i3−i3i3i3−i3−i3i3i300
χ3422-2-22-2-12112-2-222-2-2-1ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-11-111-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ500i3−i3i3−i3ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ500000000000000
χ3522-2-22-2-12112-2-222-2-2-1ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-1-11-111-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ500−i3i3−i3i3−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ500000000000000
χ3622-2-22-2-12112-2-222-2-2-1ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-11-111-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ800i3−i3i3−i3−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ800000000000000
χ3722-2-22-2-12112-2-222-2-2-1ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-1-11-111-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ800−i3i3−i3i3ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ800000000000000
χ3822-2-22-2-12112-2-222-2-2-1ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-11-111-1-111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ700i3−i3i3−i3ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ7ζ4−ζ5−ζ4+ζ5ζ−ζ8−ζ+ζ8−ζ2+ζ7ζ2−ζ700000000000000
χ3922-2-22-2-12112-2-222-2-2-1ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-1-11-111-1-111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ700−i3i3−i3i3−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ7−ζ4+ζ5ζ4−ζ5−ζ+ζ8ζ−ζ8ζ2−ζ7−ζ2+ζ700000000000000
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χ854-44-400-2-2-222-222i3−2i32i3−2i322ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5100-11-1−i3i3−i3i3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ500000000000000000000000000000000
χ864-44-400-2-2-222-222i3−2i32i3−2i322ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8100-11-1−i3i3−i3i3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ500000000000000000000000000000000
χ874-44-400-2-2-222-222i3−2i32i3−2i322ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7100-11-1−i3i3−i3i3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7−ζ2−ζ7ζ2+ζ7−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ500000000000000000000000000000000
χ884-44-400-2-2-222-22−2i32i3−2i32i322ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5100-11-1i3−i3i3−i3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ500000000000000000000000000000000
χ894-44-400-2-2-222-22−2i32i3−2i32i322ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8100-11-1i3−i3i3−i3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ500000000000000000000000000000000
χ904-44-400-2-2-222-22−2i32i3−2i32i322ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7100-11-1i3−i3i3−i3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7−ζ2−ζ7ζ2+ζ72ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ500000000000000000000000000000000
χ914-4-440044-44-4-440000-4-2-2-22-22-22-2222400-4-440000-2-2-200000022-222-222-200000000000000000000000000000000000000000000
χ924-4-44004-2-4422-22i3−2i3−2i32i3-4-2-2-22-22-22-2222-20022-22i3−2i3−2i32i3111000000-1-11-1-11-1-11−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000000000000000000000
χ934-4-44004-2-4422-2−2i32i32i3−2i3-4-2-2-22-22-22-2222-20022-2−2i32i32i3−2i3111000000-1-11-1-11-1-11i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000000000000000000000
χ944-4-4400-242-2-4-44000022ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5-20022-200002ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ500000000000000000000000000000000000000000000
χ954-4-4400-242-2-4-44000022ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8-20022-200002ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ800000000000000000000000000000000000000000000
χ964-4-4400-242-2-4-44000022ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7-20022-200002ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ700000000000000000000000000000000000000000000
χ974-4-4400-2-22-222-22i3−2i3−2i32i322ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5100-1-11−i3i3i3−i3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ500000000000000000000000000000000
χ984-4-4400-2-22-222-22i3−2i3−2i32i322ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8100-1-11−i3i3i3−i3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ500000000000000000000000000000000
χ994-4-4400-2-22-222-22i3−2i3−2i32i322ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7100-1-11−i3i3i3−i3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ500000000000000000000000000000000
χ1004-4-4400-2-22-222-2−2i32i32i3−2i322ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5100-1-11i3−i3−i3i3−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ500000000000000000000000000000000
χ1014-4-4400-2-22-222-2−2i32i32i3−2i322ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8100-1-11i3−i3−i3i3−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ500000000000000000000000000000000
χ1024-4-4400-2-22-222-2−2i32i32i3−2i322ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7100-1-11i3−i3−i3i3−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ72ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ500000000000000000000000000000000

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