Finite Group Databasebeta

← Group #13180732

Character table — Group #13180732

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112223346666688121212121216161616161818181818182424242436364848112223346666688121212121216161616161818181818182424242436364848112223346666688121212121216161616161818181818182424242436364848
order1223622622466362444636666222444612121224612366366666612663661212126366666661212126121212612612366366666612663661212126366666661212126121212612612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111
χ3111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1
χ4111111111-1-11111-1-1-1-1111111-111-111-1-1-1-111-1-1111111111-1-11111-1-1-1-1111111-111-111-1-1-1-111-1-1111111111-1-11111-1-1-1-1111111-111-111-1-1-1-111-1-1
χ511-11111-1-11-111111-1-11-11-11-1-1111-1111-11-1-1-11-111-11111-1-11-111111-1-11-11-11-1-1111-1111-11-1-1-11-111-11111-1-11-111111-1-11-11-11-1-1111-1111-11-1-1-11-1
χ611-11111-1-11-11111-111-1-11-11-1-11-1-1-1-1-1-11-11111-111-11111-1-11-11111-111-1-11-11-1-11-1-1-1-1-1-11-11111-111-11111-1-11-11111-111-1-11-11-1-11-1-1-1-1-1-11-11111-1
χ711-11111-1-1-1111111-1-11-11-11-1-1-1-1-11-1-11-11-111-1111-11111-1-1-1111111-1-11-11-11-1-1-1-1-11-1-11-11-111-1111-11111-1-1-1111111-1-11-11-11-1-1-1-1-11-1-11-11-111-11
χ811-11111-1-1-111111-111-1-11-11-1-1-111111-11-11-1-1-1111-11111-1-1-111111-111-1-11-11-1-1-111111-11-11-1-1-1111-11111-1-1-111111-111-1-11-11-1-1-111111-11-11-1-1-11
χ92222222222222-1-100002-1-1-1-1-1200200000000-1-12222222222222-1-100002-1-1-1-1-1200200000000-1-12222222222222-1-100002-1-1-1-1-1200200000000-1-1
χ10222222222-2-222-1-100002-1-1-1-1-1-200-20000000011222222222-2-222-1-100002-1-1-1-1-1-200-20000000011222222222-2-222-1-100002-1-1-1-1-1-200-20000000011
χ11222-1-122-1200-1-1222222-1-12-1-1-1000000-1-1-1-10000222-1-122-1200-1-1222222-1-12-1-1-1000000-1-1-1-10000222-1-122-1200-1-1222222-1-12-1-1-1000000-1-1-1-10000
χ12222-1-122-1200-1-122-2-2-2-2-1-12-1-1-100000011110000222-1-122-1200-1-122-2-2-2-2-1-12-1-1-100000011110000222-1-122-1200-1-122-2-2-2-2-1-12-1-1-100000011110000
χ1322-22222-2-22-222-1-10000-2-11-111200-200000000-1122-22222-2-22-222-1-10000-2-11-111200-200000000-1122-22222-2-22-222-1-10000-2-11-111200-200000000-11
χ1422-22222-2-2-2222-1-10000-2-11-111-2002000000001-122-22222-2-2-2222-1-10000-2-11-111-2002000000001-122-22222-2-2-2222-1-10000-2-11-111-2002000000001-1
χ1522-2-1-1221-200-1-1222-2-221-1-2-111000000-11-11000022-2-1-1221-200-1-1222-2-221-1-2-111000000-11-11000022-2-1-1221-200-1-1222-2-221-1-2-111000000-11-110000
χ1622-2-1-1221-200-1-122-222-21-1-2-1110000001-11-1000022-2-1-1221-200-1-122-222-21-1-2-1110000001-11-1000022-2-1-1221-200-1-122-222-21-1-2-1110000001-11-10000
χ172-202-2-2200002-22-20000020-20002-202-2000000002-202-2-2200002-22-20000020-20002-202-2000000002-202-2-2200002-22-20000020-20002-202-200000000
χ182-202-2-2200002-22-20000020-2000-220-22000000002-202-2-2200002-22-20000020-2000-220-22000000002-202-2-2200002-22-20000020-2000-220-2200000000
χ1933333-1-13-133-1-10011-1-1-100000-111-1-1-111-1-11-10033333-1-13-133-1-10011-1-1-100000-111-1-1-111-1-11-10033333-1-13-133-1-10011-1-1-100000-111-1-1-111-1-11-100
χ2033333-1-13-133-1-100-1-111-100000-1-1-1-111-1-111-110033333-1-13-133-1-100-1-111-100000-1-1-1-111-1-111-110033333-1-13-133-1-100-1-111-100000-1-1-1-111-1-111-1100
χ2133333-1-13-1-3-3-1-10011-1-1-1000001-1-111111-1-1-110033333-1-13-1-3-3-1-10011-1-1-1000001-1-111111-1-1-110033333-1-13-1-3-3-1-10011-1-1-1000001-1-111111-1-1-1100
χ2233333-1-13-1-3-3-1-100-1-111-1000001111-1-1-1-1111-10033333-1-13-1-3-3-1-100-1-111-1000001111-1-1-1-1111-10033333-1-13-1-3-3-1-100-1-111-1000001111-1-1-1-1111-100
χ2333-333-1-1-313-3-1-1001-11-1100000-1111-1-11-1-11-110033-333-1-1-313-3-1-1001-11-1100000-1111-1-11-1-11-110033-333-1-1-313-3-1-1001-11-1100000-1111-1-11-1-11-1100
χ2433-333-1-1-313-3-1-100-11-11100000-1-1-1111-111-11-10033-333-1-1-313-3-1-100-11-11100000-1-1-1111-111-11-10033-333-1-1-313-3-1-100-11-11100000-1-1-1111-111-11-100
χ2533-333-1-1-31-33-1-1001-11-11000001-1-1-1111-1-111-10033-333-1-1-31-33-1-1001-11-11000001-1-1-1111-1-111-10033-333-1-1-31-33-1-1001-11-11000001-1-1-1111-1-111-100
χ2633-333-1-1-31-33-1-100-11-11100000111-1-1-1-111-1-110033-333-1-1-31-33-1-100-11-11100000111-1-1-1-111-1-110033-333-1-1-31-33-1-100-11-11100000111-1-1-1-111-1-1100
χ27444-2-244-2400-2-2-2-20000-21-211100000000000000444-2-244-2400-2-2-2-20000-21-211100000000000000444-2-244-2400-2-2-2-20000-21-211100000000000000
χ2844-4-2-2442-400-2-2-2-200002121-1-10000000000000044-4-2-2442-400-2-2-2-200002121-1-10000000000000044-4-2-2442-400-2-2-2-200002121-1-100000000000000
χ294-404-4-4400004-4-2200000-20200000000000000004-404-4-4400004-4-2200000-20200000000000000004-404-4-4400004-4-2200000-2020000000000000000
χ304-40-22-440000-224-400000-20200000000000000004-40-22-440000-224-400000-20200000000000000004-40-22-440000-224-400000-2020000000000000000
χ314-40-22-440000-22-220000010-13-3000000000000004-40-22-440000-22-220000010-13-3000000000000004-40-22-440000-22-220000010-13-300000000000000
χ324-40-22-440000-22-220000010-1-33000000000000004-40-22-440000-22-220000010-1-33000000000000004-40-22-440000-22-220000010-1-3300000000000000
χ33666-3-3-2-2-3-200110022-2-2100000000000-1-1110000666-3-3-2-2-3-200110022-2-2100000000000-1-1110000666-3-3-2-2-3-200110022-2-2100000000000-1-1110000
χ34666-3-3-2-2-3-2001100-2-22210000000000011-1-10000666-3-3-2-2-3-2001100-2-22210000000000011-1-10000666-3-3-2-2-3-2001100-2-22210000000000011-1-10000
χ3566-6-3-3-2-2320011002-22-2-100000000000-111-1000066-6-3-3-2-2320011002-22-2-100000000000-111-1000066-6-3-3-2-2320011002-22-2-100000000000-111-10000
χ3666-6-3-3-2-232001100-22-22-1000000000001-1-11000066-6-3-3-2-232001100-22-22-1000000000001-1-11000066-6-3-3-2-232001100-22-22-1000000000001-1-110000
χ376-606-62-20000-2200000000000002-20-22000000006-606-62-20000-2200000000000002-20-22000000006-606-62-20000-2200000000000002-20-2200000000
χ386-606-62-20000-220000000000000-2202-2000000006-606-62-20000-220000000000000-2202-2000000006-606-62-20000-220000000000000-2202-200000000
χ3912-120-664-400002-20000000000000000000000000012-120-664-400002-20000000000000000000000000012-120-664-400002-200000000000000000000000000
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
χ41111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ42111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1−1+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+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ43111111111-1-11111-1-1-1-1111111-111-111-1-1-1-111-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ4411-11111-1-11-111111-1-11-11-11-1-1111-1111-11-1-1-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32
χ4511-11111-1-11-11111-111-1-11-11-1-11-1-1-1-1-1-11-11111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ4611-11111-1-1-1111111-1-11-11-11-1-1-1-1-11-1-11-11-111-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ4711-11111-1-1-111111-111-1-11-11-1-1-111111-11-11-1-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32
χ482222222222222-1-100002-1-1-1-1-1200200000000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i320000−1+i31−i321−i321−i321−i321−i32−1+i300−1+i3000000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i320000−1−i31+i321+i321+i321+i321+i32−1−i300−1−i3000000001+i321+i32
χ49222222222-2-222-1-100002-1-1-1-1-1-200-20000000011−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i320000−1+i31−i321−i321−i321−i321−i321−i3001−i300000000−1+i32−1+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i320000−1−i31+i321+i321+i321+i321+i321+i3001+i300000000−1−i32−1−i32
χ50222-1-122-1200-1-1222222-1-12-1-1-1000000-1-1-1-10000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i3001−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i320000001−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i3001+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i320000001+i321+i321+i321+i320000
χ51222-1-122-1200-1-122-2-2-2-2-1-12-1-1-100000011110000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i3001−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i31−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i3001+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i31+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i320000
χ5222-22222-2-22-222-1-10000-2-11-111200-200000000-11−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i321−i3200001−i31−i32−1+i321−i32−1+i32−1+i32−1+i3001−i3000000001−i32−1+i32−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i321+i3200001+i31+i32−1−i321+i32−1−i32−1−i32−1−i3001+i3000000001+i32−1−i32
χ5322-22222-2-2-2222-1-10000-2-11-111-2002000000001-1−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i3200001−i31−i32−1+i321−i32−1+i32−1+i321−i300−1+i300000000−1+i321−i32−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i3200001+i31+i32−1−i321+i32−1−i32−1−i321+i300−1−i300000000−1−i321+i32
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χ562-202-2-2200002-22-20000020-20002-202-200000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300000−1+i301−i3000−1+i31−i30−1+i31−i300000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300000−1−i301+i3000−1−i31+i30−1−i31+i300000000
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χ5833333-1-13-133-1-10011-1-1-100000-111-1-1-111-1-11-100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i32−3+3i321−i321−i3200−1+i32−1+i321−i321−i321−i32000001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i32−3−3i321+i321+i3200−1−i32−1−i321+i321+i321+i32000001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i3200
χ5933333-1-13-133-1-100-1-111-100000-1-1-1-111-1-111-1100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i32−3+3i321−i321−i32001−i321−i32−1+i32−1+i321−i32000001−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i32−3−3i321+i321+i32001+i321+i32−1−i32−1−i321+i32000001+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i3200
χ6033333-1-13-1-3-3-1-10011-1-1-1000001-1-111111-1-1-1100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i323−3i323−3i321−i321−i3200−1+i32−1+i321−i321−i321−i3200000−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i323+3i323+3i321+i321+i3200−1−i32−1−i321+i321+i321+i3200000−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3200
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χ6233-333-1-1-313-3-1-1001-11-1100000-1111-1-11-1-11-1100−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i323−3i32−1+i32−3+3i323−3i321−i321−i3200−1+i321−i32−1+i321−i32−1+i32000001−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i323+3i32−1−i32−3−3i323+3i321+i321+i3200−1−i321+i32−1−i321+i32−1−i32000001+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i3200
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χ82111111111-1-11111-1-1-1-1111111-111-111-1-1-1-111-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ8311-11111-1-11-111111-1-11-11-11-1-1111-1111-11-1-1-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32
χ8411-11111-1-11-11111-111-1-11-11-1-11-1-1-1-1-1-11-11111-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ8511-11111-1-1-1111111-1-11-11-11-1-1-1-1-11-1-11-11-111-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ8611-11111-1-1-111111-111-1-11-11-1-1-111111-11-11-1-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32
χ872222222222222-1-100002-1-1-1-1-1200200000000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i320000−1−i31+i321+i321+i321+i321+i32−1−i300−1−i3000000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i320000−1+i31−i321−i321−i321−i321−i32−1+i300−1+i3000000001−i321−i32
χ88222222222-2-222-1-100002-1-1-1-1-1-200-20000000011−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i320000−1−i31+i321+i321+i321+i321+i321+i3001+i300000000−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i320000−1+i31−i321−i321−i321−i321−i321−i3001−i300000000−1+i32−1+i32
χ89222-1-122-1200-1-1222222-1-12-1-1-1000000-1-1-1-10000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i3001+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i320000001+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i3001−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i320000001−i321−i321−i321−i320000
χ90222-1-122-1200-1-122-2-2-2-2-1-12-1-1-100000011110000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i3001+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i31+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i3001−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i31−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i320000
χ9122-22222-2-22-222-1-10000-2-11-111200-200000000-11−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i321+i3200001+i31+i32−1−i321+i32−1−i32−1−i32−1−i3001+i3000000001+i32−1−i32−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i321−i3200001−i31−i32−1+i321−i32−1+i32−1+i32−1+i3001−i3000000001−i32−1+i32
χ9222-22222-2-2-2222-1-10000-2-11-111-2002000000001-1−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i3200001+i31+i32−1−i321+i32−1−i32−1−i321+i300−1−i300000000−1−i321+i32−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i3200001−i31−i32−1+i321−i32−1+i32−1+i321−i300−1+i300000000−1+i321−i32
χ9322-2-1-1221-200-1-1222-2-221-1-2-111000000-11-110000−1−i3−1−i31+i31+i321+i32−1−i3−1−i3−1−i321+i3001+i321+i32−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i321+i321+i31+i32−1−i32−1−i320000001+i32−1−i321+i32−1−i320000−1+i3−1+i31−i31−i321−i32−1+i3−1+i3−1+i321−i3001−i321−i32−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i321−i321−i31−i32−1+i32−1+i320000001−i32−1+i321−i32−1+i320000
χ9422-2-1-1221-200-1-122-222-21-1-2-1110000001-11-10000−1−i3−1−i31+i31+i321+i32−1−i3−1−i3−1−i321+i3001+i321+i32−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i321+i31+i32−1−i32−1−i32000000−1−i321+i32−1−i321+i320000−1+i3−1+i31−i31−i321−i32−1+i3−1+i3−1+i321−i3001−i321−i32−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i321−i31−i32−1+i32−1+i32000000−1+i321−i32−1+i321−i320000
χ952-202-2-2200002-22-20000020-20002-202-200000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300000−1−i301+i3000−1−i31+i30−1−i31+i300000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300000−1+i301−i3000−1+i31−i30−1+i31−i300000000
χ962-202-2-2200002-22-20000020-2000-220-2200000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300000−1−i301+i30001+i3−1−i301+i3−1−i300000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300000−1+i301−i30001−i3−1+i301−i3−1+i300000000
χ9733333-1-13-133-1-10011-1-1-100000-111-1-1-111-1-11-100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i32−3−3i321+i321+i3200−1−i32−1−i321+i321+i321+i32000001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i32−3+3i321−i321−i3200−1+i32−1+i321−i321−i321−i32000001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i3200
χ9833333-1-13-133-1-100-1-111-100000-1-1-1-111-1-111-1100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i32−3−3i321+i321+i32001+i321+i32−1−i32−1−i321+i32000001+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i32−3+3i321−i321−i32001−i321−i32−1+i32−1+i321−i32000001−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i3200
χ9933333-1-13-1-3-3-1-10011-1-1-1000001-1-111111-1-1-1100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i323+3i323+3i321+i321+i3200−1−i32−1−i321+i321+i321+i3200000−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i323−3i323−3i321−i321−i3200−1+i32−1+i321−i321−i321−i3200000−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3200
χ10033333-1-13-1-3-3-1-100-1-111-1000001111-1-1-1-1111-100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i323+3i323+3i321+i321+i32001+i321+i32−1−i32−1−i321+i3200000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i323−3i323−3i321−i321−i32001−i321−i32−1+i32−1+i321−i3200000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i3200
χ10133-333-1-1-313-3-1-1001-11-1100000-1111-1-11-1-11-1100−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i323+3i32−1−i32−3−3i323+3i321+i321+i3200−1−i321+i32−1−i321+i32−1−i32000001+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i323−3i32−1+i32−3+3i323−3i321−i321−i3200−1+i321−i32−1+i321−i32−1+i32000001−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i3200
χ10233-333-1-1-313-3-1-100-11-11100000-1-1-1111-111-11-100−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i323+3i32−1−i32−3−3i323+3i321+i321+i32001+i32−1−i321+i32−1−i32−1−i32000001+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i323−3i32−1+i32−3+3i323−3i321−i321−i32001−i32−1+i321−i32−1+i32−1+i32000001−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i3200
χ10333-333-1-1-31-33-1-1001-11-11000001-1-1-1111-1-111-100−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i323+3i32−1−i323+3i32−3−3i321+i321+i3200−1−i321+i32−1−i321+i32−1−i3200000−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i323−3i32−1+i323−3i32−3+3i321−i321−i3200−1+i321−i32−1+i321−i32−1+i3200000−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i3200
χ10433-333-1-1-31-33-1-100-11-11100000111-1-1-1-111-1-1100−3−3i32−3−3i323+3i32−3−3i32−3−3i321+i321+i323+3i32−1−i323+3i32−3−3i321+i321+i32001+i32−1−i321+i32−1−i32−1−i3200000−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i323−3i32−3+3i32−3+3i321−i321−i323−3i32−1+i323−3i32−3+3i321−i321−i32001−i32−1+i321−i32−1+i32−1+i3200000−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i3200
χ105444-2-244-2400-2-2-2-20000-21-211100000000000000−2−2i3−2−2i3−2−2i31+i31+i3−2−2i3−2−2i31+i3−2−2i3001+i31+i31+i31+i300001+i3−1−i321+i3−1−i32−1−i32−1−i3200000000000000−2+2i3−2+2i3−2+2i31−i31−i3−2+2i3−2+2i31−i3−2+2i3001−i31−i31−i31−i300001−i3−1+i321−i3−1+i32−1+i32−1+i3200000000000000
χ10644-4-2-2442-400-2-2-2-200002121-1-100000000000000−2−2i3−2−2i32+2i31+i31+i3−2−2i3−2−2i3−1−i32+2i3001+i31+i31+i31+i30000−1−i3−1−i32−1−i3−1−i321+i321+i3200000000000000−2+2i3−2+2i32−2i31−i31−i3−2+2i3−2+2i3−1+i32−2i3001−i31−i31−i31−i30000−1+i3−1+i32−1+i3−1+i321−i321−i3200000000000000
χ1074-404-4-4400004-4-2200000-2020000000000000000−2−2i32+2i30−2−2i32+2i32+2i3−2−2i30000−2−2i32+2i31+i3−1−i3000001+i30−1−i30000000000000000−2+2i32−2i30−2+2i32−2i32−2i3−2+2i30000−2+2i32−2i31−i3−1+i3000001−i30−1+i30000000000000000
χ1084-40-22-440000-224-400000-2020000000000000000−2−2i32+2i301+i3−1−i32+2i3−2−2i300001+i3−1−i3−2−2i32+2i3000001+i30−1−i30000000000000000−2+2i32−2i301−i3−1+i32−2i3−2+2i300001−i3−1+i3−2+2i32−2i3000001−i30−1+i30000000000000000
χ1094-40-22-440000-22-220000010-13-300000000000000−2−2i32+2i301+i3−1−i32+2i3−2−2i300001+i3−1−i31+i3−1−i300000−1−i3201+i32−3−3i323+3i3200000000000000−2+2i32−2i301−i3−1+i32−2i3−2+2i300001−i3−1+i31−i3−1+i300000−1+i3201−i32−3+3i323−3i3200000000000000
χ1104-40-22-440000-22-220000010-1-3300000000000000−2−2i32+2i301+i3−1−i32+2i3−2−2i300001+i3−1−i31+i3−1−i300000−1−i3201+i323+3i32−3−3i3200000000000000−2+2i32−2i301−i3−1+i32−2i3−2+2i300001−i3−1+i31−i3−1+i300000−1+i3201−i323−3i32−3+3i3200000000000000
χ111666-3-3-2-2-3-200110022-2-2100000000000-1-1110000−3−3i3−3−3i3−3−3i33+3i323+3i321+i31+i33+3i321+i300−1−i32−1−i3200−1−i3−1−i31+i31+i3−1−i32000000000001+i321+i32−1−i32−1−i320000−3+3i3−3+3i3−3+3i33−3i323−3i321−i31−i33−3i321−i300−1+i32−1+i3200−1+i3−1+i31−i31−i3−1+i32000000000001−i321−i32−1+i32−1+i320000
χ112666-3-3-2-2-3-2001100-2-22210000000000011-1-10000−3−3i3−3−3i3−3−3i33+3i323+3i321+i31+i33+3i321+i300−1−i32−1−i32001+i31+i3−1−i3−1−i3−1−i3200000000000−1−i32−1−i321+i321+i320000−3+3i3−3+3i3−3+3i33−3i323−3i321−i31−i33−3i321−i300−1+i32−1+i32001−i31−i3−1+i3−1+i3−1+i3200000000000−1+i32−1+i321−i321−i320000
χ11366-6-3-3-2-2320011002-22-2-100000000000-111-10000−3−3i3−3−3i33+3i33+3i323+3i321+i31+i3−3−3i32−1−i300−1−i32−1−i3200−1−i31+i3−1−i31+i31+i32000000000001+i32−1−i32−1−i321+i320000−3+3i3−3+3i33−3i33−3i323−3i321−i31−i3−3+3i32−1+i300−1+i32−1+i3200−1+i31−i3−1+i31−i31−i32000000000001−i32−1+i32−1+i321−i320000
χ11466-6-3-3-2-232001100-22-22-1000000000001-1-110000−3−3i3−3−3i33+3i33+3i323+3i321+i31+i3−3−3i32−1−i300−1−i32−1−i32001+i3−1−i31+i3−1−i31+i3200000000000−1−i321+i321+i32−1−i320000−3+3i3−3+3i33−3i33−3i323−3i321−i31−i3−3+3i32−1+i300−1+i32−1+i32001−i3−1+i31−i3−1+i31−i3200000000000−1+i321−i321−i32−1+i320000
χ1156-606-62-20000-2200000000000002-20-2200000000−3−3i33+3i30−3−3i33+3i3−1−i31+i300001+i3−1−i30000000000000−1−i31+i301+i3−1−i300000000−3+3i33−3i30−3+3i33−3i3−1+i31−i300001−i3−1+i30000000000000−1+i31−i301−i3−1+i300000000
χ1166-606-62-20000-220000000000000-2202-200000000−3−3i33+3i30−3−3i33+3i3−1−i31+i300001+i3−1−i300000000000001+i3−1−i30−1−i31+i300000000−3+3i33−3i30−3+3i33−3i3−1+i31−i300001−i3−1+i300000000000001−i3−1+i30−1+i31−i300000000
χ11712-120-664-400002-200000000000000000000000000−6−6i36+6i303+3i3−3−3i3−2−2i32+2i30000−1−i31+i300000000000000000000000000−6+6i36−6i303−3i3−3+3i3−2+2i32−2i30000−1+i31−i300000000000000000000000000

Here i is the imaginary unit (i² = −1).