Finite Group Databasebeta

← Group #11723152

Character table — Group #11723152

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222222222244444444444412121212121212121212121236361122222222222444444444444121212121212121212121212363611222222222224444444444441212121212121212121212123636
order12233446666121236666121212121212122444661212121212128836633121266661212366661212121212121261212126612121212121224243663312126666121236666121212121212126121212661212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111111111111111111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1-1-11111-1-11111111111111111111111111-1-111-1-1-1-11111-1-11111111111111111111111111-1-111-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-111-11-1-111-1-11-1-1-1111-111-1-11-11-111-1-111-1-11-111-111-11-1-111-1-11-1-1-1111-111-1-11-11-111-1-111-1-11-111-111-11-1-111-1-11-1-1-1111-111-1-11-11-111-1-111-1-11-1
χ611-111-11-1-111-1-11-1-1-1111-111-1-11-1-1111-1-1-1-111-1111-111-11-1-111-1-11-1-1-1111-111-1-11-1-1111-1-1-1-111-1111-111-11-1-111-1-11-1-1-1111-111-1-11-1-1111-1-1-1-111-11
χ711-111-11-1-111-1-11-1-1-1111-111-1-1-111-1-1-11111-1-1-1111-111-11-1-111-1-11-1-1-1111-111-1-1-111-1-1-11111-1-1-1111-111-11-1-111-1-11-1-1-1111-111-1-1-111-1-1-11111-1-1-11
χ811-111-11-1-111-1-11-1-1-1111-111-1-1-11-11-1-111-1-1111-111-111-11-1-111-1-11-1-1-1111-111-1-1-11-11-1-111-1-1111-111-111-11-1-111-1-11-1-1-1111-111-1-1-11-11-1-111-1-1111-1
χ922222-2-22222-2-222222-2-2-2-2-2-2-20000000000000022222-2-22222-2-222222-2-2-2-2-2-2-20000000000000022222-2-22222-2-222222-2-2-2-2-2-2-200000000000000
χ102222-12222-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-10000002222-12222-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-10000002222-12222-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-1000000
χ112222-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-20011110000002222-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-20011110000002222-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111000000
χ122222-1-2-222-1211-1-1-1-1-11-2-211110000−i3i3−i3i30000002222-1-2-222-1211-1-1-1-1-11-2-211110000−i3i3−i3i30000002222-1-2-222-1211-1-1-1-1-11-2-211110000−i3i3−i3i3000000
χ132222-1-2-222-1211-1-1-1-1-11-2-211110000i3−i3i3−i30000002222-1-2-222-1211-1-1-1-1-11-2-211110000i3−i3i3−i30000002222-1-2-222-1211-1-1-1-1-11-2-211110000i3−i3i3−i3000000
χ14222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100220000-1-1-1-100222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100220000-1-1-1-100222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100220000-1-1-1-100
χ15222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100-2-20000111100222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100-2-20000111100222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100-2-20000111100
χ16222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000−i3i3−i3i300222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000−i3i3−i3i300222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000−i3i3−i3i300
χ17222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000i3−i3i3−i300222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000i3−i3i3−i300222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000i3−i3i3−i300
χ1822-2222-2-2-222222-2-2-22-2-22-2-2220000000000000022-2222-2-2-222222-2-2-22-2-22-2-2220000000000000022-2222-2-2-222222-2-2-22-2-22-2-22200000000000000
χ1922-22-12-2-2-2-12-1-1-1111-11-2211-1-10000−i3i3i3−i300000022-22-12-2-2-2-12-1-1-1111-11-2211-1-10000−i3i3i3−i300000022-22-12-2-2-2-12-1-1-1111-11-2211-1-10000−i3i3i3−i3000000
χ2022-22-12-2-2-2-12-1-1-1111-11-2211-1-10000i3−i3−i3i300000022-22-12-2-2-2-12-1-1-1111-11-2211-1-10000i3−i3−i3i300000022-22-12-2-2-2-12-1-1-1111-11-2211-1-10000i3−i3−i3i3000000
χ2122-22-1-22-2-2-1211-1111-1-12-2-1-1112-200-1-11100000022-22-1-22-2-2-1211-1111-1-12-2-1-1112-200-1-11100000022-22-1-22-2-2-1211-1111-1-12-2-1-1112-200-1-111000000
χ2222-22-1-22-2-2-1211-1111-1-12-2-1-111-220011-1-100000022-22-1-22-2-2-1211-1111-1-12-2-1-111-220011-1-100000022-22-1-22-2-2-1211-1111-1-12-2-1-111-220011-1-1000000
χ2322-2-122-2112-122-1-211-1-21-111-1-100000000−i3i3i3−i30022-2-122-2112-122-1-211-1-21-111-1-100000000−i3i3i3−i30022-2-122-2112-122-1-211-1-21-111-1-100000000−i3i3i3−i300
χ2422-2-122-2112-122-1-211-1-21-111-1-100000000i3−i3−i3i30022-2-122-2112-122-1-211-1-21-111-1-100000000i3−i3−i3i30022-2-122-2112-122-1-211-1-21-111-1-100000000i3−i3−i3i300
χ2522-2-12-22112-1-2-2-1-211-12-11-1-111002-20000-1-1110022-2-12-22112-1-2-2-1-211-12-11-1-111002-20000-1-1110022-2-12-22112-1-2-2-1-211-12-11-1-111002-20000-1-11100
χ2622-2-12-22112-1-2-2-1-211-12-11-1-11100-22000011-1-10022-2-12-22112-1-2-2-1-211-12-11-1-11100-22000011-1-10022-2-12-22112-1-2-2-1-211-12-11-1-11100-22000011-1-100
χ27444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000
χ28444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000
χ2944-4-2-24-422-2-2-2-212-1-1122-2-1-1110000000000000044-4-2-24-422-2-2-2-212-1-1122-2-1-1110000000000000044-4-2-24-422-2-2-2-212-1-1122-2-1-11100000000000000
χ3044-4-2-2-4422-2-22212-1-11-2-2211-1-10000000000000044-4-2-2-4422-2-22212-1-11-2-2211-1-10000000000000044-4-2-2-4422-2-22212-1-11-2-2211-1-100000000000000
χ314-40440000-4-4004000-40000000000000000000004-40440000-4-4004000-40000000000000000000004-40440000-4-4004000-4000000000000000000000
χ324-404-200002-423−23-200020000023−23000000000000004-404-200002-423−23-200020000023−23000000000000004-404-200002-423−23-200020000023−2300000000000000
χ334-404-200002-4−2323-2000200000−2323000000000000004-404-200002-4−2323-2000200000−2323000000000000004-404-200002-4−2323-2000200000−232300000000000000
χ344-40-2400−2i32i3-4200-20−2i32i320000000000000000000004-40-2400−2i32i3-4200-20−2i32i320000000000000000000004-40-2400−2i32i3-4200-20−2i32i32000000000000000000000
χ354-40-24002i3−2i3-4200-202i3−2i320000000000000000000004-40-24002i3−2i3-4200-202i3−2i320000000000000000000004-40-24002i3−2i3-4200-202i3−2i32000000000000000000000
χ364-40-2-200−2i32i32223−2310i3−i3-10003i−3i−33000000000000004-40-2-200−2i32i32223−2310i3−i3-10003i−3i−33000000000000004-40-2-200−2i32i32223−2310i3−i3-10003i−3i−3300000000000000
χ374-40-2-200−2i32i322−232310i3−i3-1000−3i3i3−3000000000000004-40-2-200−2i32i322−232310i3−i3-1000−3i3i3−3000000000000004-40-2-200−2i32i322−232310i3−i3-1000−3i3i3−300000000000000
χ384-40-2-2002i3−2i32223−2310−i3i3-1000−3i3i−33000000000000004-40-2-2002i3−2i32223−2310−i3i3-1000−3i3i−33000000000000004-40-2-2002i3−2i32223−2310−i3i3-1000−3i3i−3300000000000000
χ394-40-2-2002i3−2i322−232310−i3i3-10003i−3i3−3000000000000004-40-2-2002i3−2i322−232310−i3i3-10003i−3i3−3000000000000004-40-2-2002i3−2i322−232310−i3i3-10003i−3i3−300000000000000
χ40111111111111111111111111111111111111111−1+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+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+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−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111111111111-1-11111-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ421111111111111111111111111-1-111-1-1-1-11111-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ431111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ4411-111-11-1-111-1-11-1-1-1111-111-1-11-11-111-1-111-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ4511-111-11-1-111-1-11-1-1-1111-111-1-11-1-1111-1-1-1-111-11−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ4611-111-11-1-111-1-11-1-1-1111-111-1-1-111-1-1-11111-1-1-11−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ4711-111-11-1-111-1-11-1-1-1111-111-1-1-11-11-1-111-1-1111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ4822222-2-22222-2-222222-2-2-2-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i300000000000000
χ492222-12222-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i32000000
χ502222-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i32000000
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χ54222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100-2-20000111100−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32001−i31−i30000−1+i32−1+i32−1+i32−1+i3200−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32001+i31+i30000−1−i32−1−i32−1−i32−1−i3200
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χ811111111111111111111111111-1-111-1-1-1-11111-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ821111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ8311-111-11-1-111-1-11-1-1-1111-111-1-11-11-111-1-111-1-11-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ8411-111-11-1-111-1-11-1-1-1111-111-1-11-1-1111-1-1-1-111-11−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ8511-111-11-1-111-1-11-1-1-1111-111-1-1-111-1-1-11111-1-1-11−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ8611-111-11-1-111-1-11-1-1-1111-111-1-1-11-11-1-111-1-1111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ8722222-2-22222-2-222222-2-2-2-2-2-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i300000000000000
χ882222-12222-12-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i32000000
χ892222-12222-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i32000000
χ902222-1-2-222-1211-1-1-1-1-11-2-211110000−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i3−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i320000−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i3−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200003+i32−3−i323+i32−3−i32000000
χ912222-1-2-222-1211-1-1-1-1-11-2-211110000i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i3−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200003−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i3−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i320000−3−i323+i32−3−i323+i32000000
χ92222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100220000-1-1-1-100−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i300001+i321+i321+i321+i3200−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i300001−i321−i321−i321−i3200
χ93222-1222-1-12-122-12-1-1-12-1-1-1-1-1-100-2-20000111100−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32001+i31+i30000−1−i32−1−i32−1−i32−1−i3200−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32001−i31−i30000−1+i32−1+i32−1+i32−1+i3200
χ94222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000−i3i3−i3i300−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i321+i31+i31+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−3+i323−i32−3+i323−i3200−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i321−i31−i31−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000003+i32−3−i323+i32−3−i3200
χ95222-12-2-2-1-12-1-2-2-12-1-1-1-211111100000000i3−i3i3−i300−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i321+i31+i31+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000003−i32−3+i323−i32−3+i3200−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i321−i31−i31−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−3−i323+i32−3−i323+i3200
χ9622-2222-2-2-222222-2-2-22-2-22-2-22200000000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i300000000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300000000000000
χ9722-22-12-2-2-2-12-1-1-1111-11-2211-1-10000−i3i3i3−i3000000−1−i3−1−i31+i3−1−i31+i32−1−i31+i31+i31+i31+i32−1−i31+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i320000−3+i323−i323−i32−3+i32000000−1+i3−1+i31−i3−1+i31−i32−1+i31−i31−i31−i31−i32−1+i31−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i3200003+i32−3−i32−3−i323+i32000000
χ9822-22-12-2-2-2-12-1-1-1111-11-2211-1-10000i3−i3−i3i3000000−1−i3−1−i31+i3−1−i31+i32−1−i31+i31+i31+i31+i32−1−i31+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i3200003−i32−3+i32−3+i323−i32000000−1+i3−1+i31−i3−1+i31−i32−1+i31−i31−i31−i31−i32−1+i31−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i320000−3−i323+i323+i32−3−i32000000
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χ10022-22-1-22-2-2-1211-1111-1-12-2-1-111-220011-1-1000000−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i31+i31+i32−1−i3−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i3−1−i300−1−i32−1−i321+i321+i32000000−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i31−i31−i32−1+i3−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i3−1+i300−1+i32−1+i321−i321−i32000000
χ10122-2-122-2112-122-1-211-1-21-111-1-100000000−i3i3i3−i300−1−i3−1−i31+i31+i32−1−i3−1−i31+i3−1−i32−1−i32−1−i31+i32−1−i3−1−i31+i321+i3−1−i32−1−i321+i321+i3−1−i321+i32−1−i32−1−i321+i321+i3200000000−3+i323−i323−i32−3+i3200−1+i3−1+i31−i31−i32−1+i3−1+i31−i3−1+i32−1+i32−1+i31−i32−1+i3−1+i31−i321−i3−1+i32−1+i321−i321−i3−1+i321−i32−1+i32−1+i321−i321−i32000000003+i32−3−i32−3−i323+i3200
χ10222-2-122-2112-122-1-211-1-21-111-1-100000000i3−i3−i3i300−1−i3−1−i31+i31+i32−1−i3−1−i31+i3−1−i32−1−i32−1−i31+i32−1−i3−1−i31+i321+i3−1−i32−1−i321+i321+i3−1−i321+i32−1−i32−1−i321+i321+i32000000003−i32−3+i32−3+i323−i3200−1+i3−1+i31−i31−i32−1+i3−1+i31−i3−1+i32−1+i32−1+i31−i32−1+i3−1+i31−i321−i3−1+i32−1+i321−i321−i3−1+i321−i32−1+i32−1+i321−i321−i3200000000−3−i323+i323+i32−3−i3200
χ10322-2-12-22112-1-2-2-1-211-12-11-1-111002-20000-1-11100−1−i3−1−i31+i31+i32−1−i31+i3−1−i3−1−i32−1−i32−1−i31+i321+i31+i31+i321+i3−1−i32−1−i321+i32−1−i31+i32−1−i321+i321+i32−1−i32−1−i3200−1−i31+i300001+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i32−1+i31−i3−1+i3−1+i32−1+i32−1+i31−i321−i31−i31−i321−i3−1+i32−1+i321−i32−1+i31−i32−1+i321−i321−i32−1+i32−1+i3200−1+i31−i300001−i321−i32−1+i32−1+i3200
χ10422-2-12-22112-1-2-2-1-211-12-11-1-11100-22000011-1-100−1−i3−1−i31+i31+i32−1−i31+i3−1−i3−1−i32−1−i32−1−i31+i321+i31+i31+i321+i3−1−i32−1−i321+i32−1−i31+i32−1−i321+i321+i32−1−i32−1−i32001+i3−1−i30000−1−i32−1−i321+i321+i3200−1+i3−1+i31−i31−i32−1+i31−i3−1+i3−1+i32−1+i32−1+i31−i321−i31−i31−i321−i3−1+i32−1+i321−i32−1+i31−i32−1+i321−i321−i32−1+i32−1+i32001−i3−1+i30000−1+i32−1+i321−i321−i3200
χ105444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000−2−2i3−2−2i3−2−2i31+i31+i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200000000000000−2+2i3−2+2i3−2+2i31−i31−i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200000000000000
χ106444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000−2−2i3−2−2i3−2−2i31+i31+i32+2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i321+i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i321+i321+i3200000000000000−2+2i3−2+2i3−2+2i31−i31−i32−2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i321−i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i321−i321−i3200000000000000
χ10744-4-2-24-422-2-2-2-212-1-1122-2-1-11100000000000000−2−2i3−2−2i32+2i31+i31+i3−2−2i32+2i3−1−i3−1−i31+i31+i31+i31+i3−1−i32−1−i31+i321+i32−1−i32−1−i3−1−i31+i31+i321+i32−1−i32−1−i3200000000000000−2+2i3−2+2i32−2i31−i31−i3−2+2i32−2i3−1+i3−1+i31−i31−i31−i31−i3−1+i32−1+i31−i321−i32−1+i32−1+i3−1+i31−i31−i321−i32−1+i32−1+i3200000000000000
χ10844-4-2-2-4422-2-22212-1-11-2-2211-1-100000000000000−2−2i3−2−2i32+2i31+i31+i32+2i3−2−2i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i31+i321+i32−1−i321+i31+i3−1−i3−1−i32−1−i321+i321+i3200000000000000−2+2i3−2+2i32−2i31−i31−i32−2i3−2+2i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i31−i321−i32−1+i321−i31−i3−1+i3−1+i32−1+i321−i321−i3200000000000000
χ1094-40440000-4-4004000-4000000000000000000000−2−2i32+2i30−2−2i3−2−2i300002+2i32+2i300−2−2i30002+2i3000000000000000000000−2+2i32−2i30−2+2i3−2+2i300002−2i32−2i300−2+2i30002−2i3000000000000000000000
χ1104-404-200002-423−23-200020000023−2300000000000000−2−2i32+2i30−2−2i31+i30000−1−i32+2i34ζ7+2ζ11−4ζ7−2ζ111+i3000−1−i3000004ζ7+2ζ11−4ζ7−2ζ1100000000000000−2+2i32−2i30−2+2i31−i30000−1+i32−2i3−2ζ7−4ζ112ζ7+4ζ111−i3000−1+i300000−2ζ7−4ζ112ζ7+4ζ1100000000000000
χ1114-404-200002-4−2323-2000200000−232300000000000000−2−2i32+2i30−2−2i31+i30000−1−i32+2i3−4ζ7−2ζ114ζ7+2ζ111+i3000−1−i300000−4ζ7−2ζ114ζ7+2ζ1100000000000000−2+2i32−2i30−2+2i31−i30000−1+i32−2i32ζ7+4ζ11−2ζ7−4ζ111−i3000−1+i3000002ζ7+4ζ11−2ζ7−4ζ1100000000000000
χ1124-40-2400−2i32i3-4200-20−2i32i32000000000000000000000−2−2i32+2i301+i3−2−2i300−3+i33−i32+2i3−1−i3001+i30−3+i33−i3−1−i3000000000000000000000−2+2i32−2i301−i3−2+2i3003+i3−3−i32−2i3−1+i3001−i303+i3−3−i3−1+i3000000000000000000000
χ1134-40-24002i3−2i3-4200-202i3−2i32000000000000000000000−2−2i32+2i301+i3−2−2i3003−i3−3+i32+2i3−1−i3001+i303−i3−3+i3−1−i3000000000000000000000−2+2i32−2i301−i3−2+2i300−3−i33+i32−2i3−1+i3001−i30−3−i33+i3−1+i3000000000000000000000
χ1144-40-2-200−2i32i32223−2310i3−i3-10003i−3i−3300000000000000−2−2i32+2i301+i31+i300−3+i33−i3−1−i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−1−i3203−i32−3+i321+i320003ζ11−3ζ11−2ζ7−ζ112ζ7+ζ1100000000000000−2+2i32−2i301−i31−i3003+i3−3−i3−1+i3−1+i3−2ζ7−4ζ112ζ7+4ζ11−1+i320−3−i323+i321−i320003ζ7−3ζ7ζ7+2ζ11−ζ7−2ζ1100000000000000
χ1154-40-2-200−2i32i322−232310i3−i3-1000−3i3i3−300000000000000−2−2i32+2i301+i31+i300−3+i33−i3−1−i3−1−i3−4ζ7−2ζ114ζ7+2ζ11−1−i3203−i32−3+i321+i32000−3ζ113ζ112ζ7+ζ11−2ζ7−ζ1100000000000000−2+2i32−2i301−i31−i3003+i3−3−i3−1+i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−1+i320−3−i323+i321−i32000−3ζ73ζ7−ζ7−2ζ11ζ7+2ζ1100000000000000
χ1164-40-2-2002i3−2i32223−2310−i3i3-1000−3i3i−3300000000000000−2−2i32+2i301+i31+i3003−i3−3+i3−1−i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−1−i320−3+i323−i321+i32000−3ζ113ζ11−2ζ7−ζ112ζ7+ζ1100000000000000−2+2i32−2i301−i31−i300−3−i33+i3−1+i3−1+i3−2ζ7−4ζ112ζ7+4ζ11−1+i3203+i32−3−i321−i32000−3ζ73ζ7ζ7+2ζ11−ζ7−2ζ1100000000000000
χ1174-40-2-2002i3−2i322−232310−i3i3-10003i−3i3−300000000000000−2−2i32+2i301+i31+i3003−i3−3+i3−1−i3−1−i3−4ζ7−2ζ114ζ7+2ζ11−1−i320−3+i323−i321+i320003ζ11−3ζ112ζ7+ζ11−2ζ7−ζ1100000000000000−2+2i32−2i301−i31−i300−3−i33+i3−1+i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−1+i3203+i32−3−i321−i320003ζ7−3ζ7−ζ7−2ζ11ζ7+2ζ1100000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.