Finite Group Databasebeta

← Group #14518046

Character table — Group #14518046

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size122222222222223333366666666666666666666666666666666666666666666666242424242424242424242424242424242424242424242424242424162162162162162162
order13333999999999233663366666666666699999918181818181818181818181818181818181818181818181818181899999999999999999999999999924661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ4111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ5111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ6111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ7222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ8222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ9222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ1022222-1-1-1-1-1-1-1-1-12222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000000
χ1122222-1-1-1-1-1-1-1-1-12222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000
χ1222222-1-1-1-1-1-1-1-1-12222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222000000
χ1322222-1-1-1-1-1-1-1-1-12−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32222-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ1422222-1-1-1-1-1-1-1-1-12−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000
χ1522222-1-1-1-1-1-1-1-1-12−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000
χ1622222-1-1-1-1-1-1-1-1-12−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32222-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ1722222-1-1-1-1-1-1-1-1-12−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000
χ1822222-1-1-1-1-1-1-1-1-12−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000
χ1922-1-1-1222-1-1-1-1-1-122222-1-12-1-1-122-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ2022-1-1-1222-1-1-1-1-1-122222-1-12-1-1-122-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ2122-1-1-1222-1-1-1-1-1-122222-1-12-1-1-122-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ2222-1-1-1222-1-1-1-1-1-12−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i32−1+i31−i321−i32−1−i31+i321+i32222-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2000000
χ2322-1-1-1222-1-1-1-1-1-12−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i32−1+i31−i321−i32−1−i31+i321+i32222-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7000000
χ2422-1-1-1222-1-1-1-1-1-12−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i32−1+i31−i321−i32−1−i31+i321+i32222-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8000000
χ2522-1-1-1222-1-1-1-1-1-12−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i32−1−i31+i321+i32−1+i31−i321−i32222-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8000000
χ2622-1-1-1222-1-1-1-1-1-12−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i32−1−i31+i321+i32−1+i31−i321−i32222-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4000000
χ2722-1-1-1222-1-1-1-1-1-12−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i32−1−i31+i321+i32−1+i31−i321−i32222-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5000000
χ2822-1-1-1-1-1-1222-1-1-122222-1-12-1-1-122-1-1-1-1-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ2922-1-1-1-1-1-1222-1-1-122222-1-12-1-1-122-1-1-1-1-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ3022-1-1-1-1-1-1222-1-1-122222-1-12-1-1-122-1-1-1-1-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ3122-1-1-1-1-1-1222-1-1-12−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i32−1+i31−i321+i32−1−i31+i32-1-1-1222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8000000
χ3222-1-1-1-1-1-1222-1-1-12−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i32−1+i31−i321+i32−1−i31+i32-1-1-1222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000
χ3322-1-1-1-1-1-1222-1-1-12−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i32−1+i31−i321+i32−1−i31+i32-1-1-1222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7000000
χ3422-1-1-1-1-1-1222-1-1-12−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i32−1−i31+i321−i32−1+i31−i32-1-1-1222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5000000
χ3522-1-1-1-1-1-1222-1-1-12−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i32−1−i31+i321−i32−1+i31−i32-1-1-1222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ5ζ7+ζ8ζ2+ζ4ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8000000
χ3622-1-1-1-1-1-1222-1-1-12−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i32−1−i31+i321−i32−1+i31−i32-1-1-1222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ4+ζ8ζ+ζ2ζ5+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4000000
χ3722-1-1-1-1-1-1-1-1-122222222-1-12-1-1-122-1-1-1-1-1-1-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ3822-1-1-1-1-1-1-1-1-122222222-1-12-1-1-122-1-1-1-1-1-1-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ3922-1-1-1-1-1-1-1-1-122222222-1-12-1-1-122-1-1-1-1-1-1-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ4022-1-1-1-1-1-1-1-1-12222−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i32−1+i31+i321+i32−1−i3-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7000000
χ4122-1-1-1-1-1-1-1-1-12222−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i32−1+i31+i321+i32−1−i3-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8000000
χ4222-1-1-1-1-1-1-1-1-12222−1+i3−1−i3−1+i3−1−i31−i321+i322-1-1-1−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i32−1+i31+i321+i32−1−i3-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2000000
χ4322-1-1-1-1-1-1-1-1-12222−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i32−1−i31−i321−i32−1+i3-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4000000
χ4422-1-1-1-1-1-1-1-1-12222−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i32−1−i31−i321−i32−1+i3-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ+ζ2ζ5+ζ7ζ4+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000
χ4522-1-1-1-1-1-1-1-1-12222−1−i3−1+i3−1−i3−1+i31+i321−i322-1-1-1−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i32−1−i31−i321−i32−1+i3-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ5+ζ7ζ4+ζ8ζ+ζ2ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ5ζ7+ζ8ζ2+ζ4ζ2+ζ4ζ+ζ5ζ7+ζ8000000
χ4633333333333333-133-1-133-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000001-111-1-1
χ4733333333333333-133-1-133-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-11-1-111
χ4833333333333333-1−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000000000000001-1−1+i32−1−i321−i321+i32
χ4933333333333333-1−3+3i32−3−3i321−i321+i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000-111−i321+i32−1+i32−1−i32
χ5033333333333333-1−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000000001-1−1−i32−1+i321+i321−i32
χ5133333333333333-1−3−3i32−3+3i321+i321−i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000-111+i321−i32−1−i32−1+i32
χ5266666-3-3-3-3-3-3-3-3-3-266-2-266-2-2-2-2-2-2-2-2-2-2-2-2-3-3-3-3-3-3111111111111111111111111111000000000000000000000000000000000
χ5366666-3-3-3-3-3-3-3-3-3-2−3+3i3−3−3i31−i31+i3−3+3i3−3−3i3-2-2-2-21−i31+i31−i31−i31−i31+i31+i31+i33−3i323−3i323−3i323+3i323+3i323+3i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000
χ5466666-3-3-3-3-3-3-3-3-3-2−3−3i3−3+3i31+i31−i3−3−3i3−3+3i3-2-2-2-21+i31−i31+i31+i31+i31−i31−i31−i33+3i323+3i323+3i323−3i323−3i323−3i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000
χ5566-3-3-3666-3-3-3-3-3-3-266-2-2-3-3-2111-2-21111116-3-36-3-3-2-2-2111111-2-2-2111111-2-2-2111111000000000000000000000000000000000
χ5666-3-3-3666-3-3-3-3-3-3-2−3+3i3−3−3i31−i31+i33−3i323+3i32-21111−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−3+3i33−3i323−3i32−3−3i33+3i323+3i32-2-2-21111111−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000
χ5766-3-3-3666-3-3-3-3-3-3-2−3−3i3−3+3i31+i31−i33+3i323−3i32-21111+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−3−3i33+3i323+3i32−3+3i33−3i323−3i32-2-2-21111111+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000
χ5866-3-3-3-3-3-3666-3-3-3-266-2-2-3-3-2111-2-2111111-36-3-36-3111-2-2-2111111-2-2-2111111-2-2-2111000000000000000000000000000000000
χ5966-3-3-3-3-3-3666-3-3-3-2−3+3i3−3−3i31−i31+i33−3i323+3i32-21111−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i323−3i32−3+3i33−3i323+3i32−3−3i33+3i32111-2-2-2111−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32000000000000000000000000000000000
χ6066-3-3-3-3-3-3666-3-3-3-2−3−3i3−3+3i31+i31−i33+3i323−3i32-21111+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i323+3i32−3−3i33+3i323−3i32−3+3i33−3i32111-2-2-2111−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32000000000000000000000000000000000
χ6166-3-3-3-3-3-3-3-3-3666-266-2-2-3-3-2111-2-2111111-3-36-3-36111111-2-2-2111111-2-2-2111111-2-2-2000000000000000000000000000000000
χ6266-3-3-3-3-3-3-3-3-3666-2−3+3i3−3−3i31−i31+i33−3i323+3i32-21111−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i323−3i323−3i32−3+3i33+3i323+3i32−3−3i3111111-2-2-2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3000000000000000000000000000000000
χ6366-3-3-3-3-3-3-3-3-3666-2−3−3i3−3+3i31+i31−i33+3i323−3i32-21111+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i323+3i323+3i32−3−3i33−3i323−3i32−3+3i3111111-2-2-2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i3000000000000000000000000000000000
χ646-36-3-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ56000000-36-3-3000000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.