Finite Group Databasebeta

← Group #72275049

Character table — Group #72275049

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112446681212121224242424242424242424323232323232323248484848112446681212121224242424242424242424323232323232323248484848112446681212121224242424242424242424323232323232323248484848
order124222442244222244444436661212121244883612666121266121266661212121212123666121212121212242436126661212661212666612121212121236661212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ3111-1-111-1111111-1-1-1-111-1-11-1-1111-1-111-1-1111-1-111-1111111-1-1-1-111-1-11-1-1111-1-111-1-1111-1-111-1111111-1-1-1-111-1-11-1-1111-1-111-1-1
χ4111-1-111-11111-1-111-1-1-1-1111-1-1111-1-1-1-111111-1-111-11111-1-111-1-1-1-1111-1-1111-1-1-1-111111-1-111-11111-1-111-1-1-1-1111-1-1111-1-1-1-111
χ511-1111-1-1-11-111-11-11-11-11-11111-1-1-1-11-11-111-1111-1-1-11-111-11-11-11-11-11111-1-1-1-11-11-111-1111-1-1-11-111-11-11-11-11-11111-1-1-1-11-11-1
χ611-1111-1-1-11-11-11-111-1-11-111111-1-1-1-1-11-1111-1111-1-1-11-11-11-111-1-11-111111-1-1-1-1-11-1111-1111-1-1-11-11-11-111-1-11-111111-1-1-1-1-11-11
χ711-1-1-11-11-11-111-1-11-111-1-111-1-11-1-1111-1-1111-1-1-11-11-11-111-1-11-111-1-111-1-11-1-1111-1-1111-1-1-11-11-11-111-1-11-111-1-111-1-11-1-1111-1-11
χ811-1-1-11-11-11-11-111-1-11-111-11-1-11-1-111-111-111-1-1-11-11-11-11-111-1-11-111-11-1-11-1-111-111-111-1-1-11-11-11-11-111-1-11-111-11-1-11-1-111-111-1
χ92222222222220000220000-1-1-1-1-1-1-1-100002222222222220000220000-1-1-1-1-1-1-1-100002222222222220000220000-1-1-1-1-1-1-1-10000
χ10222-2-222-222220000-2-20000-111-1-1-1110000222-2-222-222220000-2-20000-111-1-1-1110000222-2-222-222220000-2-20000-111-1-1-1110000
χ1122-2222-2-2-22-2200002-20000-1-1-1-11111000022-2222-2-2-22-2200002-20000-1-1-1-11111000022-2222-2-2-22-2200002-20000-1-1-1-111110000
χ1222-2-2-22-22-22-220000-220000-111-111-1-1000022-2-2-22-22-22-220000-220000-111-111-1-1000022-2-2-22-22-22-220000-220000-111-111-1-10000
χ1333333333-1-1-1-11111-1-1111100000000-1-1-1-133333333-1-1-1-11111-1-1111100000000-1-1-1-133333333-1-1-1-11111-1-1111100000000-1-1-1-1
χ1433333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111
χ15333-3-333-3-1-1-1-111-1-11111-1-100000000-1-111333-3-333-3-1-1-1-111-1-11111-1-100000000-1-111333-3-333-3-1-1-1-111-1-11111-1-100000000-1-111
χ16333-3-333-3-1-1-1-1-1-11111-1-1110000000011-1-1333-3-333-3-1-1-1-1-1-11111-1-1110000000011-1-1333-3-333-3-1-1-1-1-1-11111-1-1110000000011-1-1
χ1733-3333-3-31-11-11-11-1-111-11-100000000-11-1133-3333-3-31-11-11-11-1-111-11-100000000-11-1133-3333-3-31-11-11-11-1-111-11-100000000-11-11
χ1833-3333-3-31-11-1-11-11-11-11-11000000001-11-133-3333-3-31-11-1-11-11-11-11-11000000001-11-133-3333-3-31-11-1-11-11-11-11-11000000001-11-1
χ1933-3-3-33-331-11-11-1-111-11-1-1100000000-111-133-3-3-33-331-11-11-1-111-11-1-1100000000-111-133-3-3-33-331-11-11-1-111-11-1-1100000000-111-1
χ2033-3-3-33-331-11-1-111-11-1-111-1000000001-1-1133-3-3-33-331-11-1-111-11-1-111-1000000001-1-1133-3-3-33-331-11-1-111-11-1-111-1000000001-1-11
χ2166600-2-202-2-2200220000-2-200000000000066600-2-202-2-2200220000-2-200000000000066600-2-202-2-2200220000-2-2000000000000
χ2266600-2-202-2-2200-2-200002200000000000066600-2-202-2-2200-2-200002200000000000066600-2-202-2-2200-2-2000022000000000000
χ2366600-2-20-222-2220000-2-20000000000000066600-2-20-222-2220000-2-20000000000000066600-2-20-222-2220000-2-200000000000000
χ2466600-2-20-222-2-2-20000220000000000000066600-2-20-222-2-2-20000220000000000000066600-2-20-222-2-2-200002200000000000000
χ2566-600-22022-2-22-20000-220000000000000066-600-22022-2-22-20000-220000000000000066-600-22022-2-22-20000-2200000000000000
χ2666-600-22022-2-2-2200002-20000000000000066-600-22022-2-2-2200002-20000000000000066-600-22022-2-2-2200002-200000000000000
χ2766-600-220-2-222002-20000-2200000000000066-600-220-2-222002-20000-2200000000000066-600-220-2-222002-20000-22000000000000
χ2866-600-220-2-22200-2200002-200000000000066-600-220-2-22200-2200002-200000000000066-600-220-2-22200-2200002-2000000000000
χ298-804-40000000000000000022-2-2000000008-804-40000000000000000022-2-2000000008-804-40000000000000000022-2-200000000
χ308-804-400000000000000000-1-1113−33−300008-804-400000000000000000-1-1113−33−300008-804-400000000000000000-1-1113−33−30000
χ318-804-400000000000000000-1-111−33−3300008-804-400000000000000000-1-111−33−3300008-804-400000000000000000-1-111−33−330000
χ328-80-44000000000000000002-22-2000000008-80-44000000000000000002-22-2000000008-80-44000000000000000002-22-200000000
χ338-80-4400000000000000000-11-113−3−3300008-80-4400000000000000000-11-113−3−3300008-80-4400000000000000000-11-113−3−330000
χ348-80-4400000000000000000-11-11−333−300008-80-4400000000000000000-11-11−333−300008-80-4400000000000000000-11-11−333−30000
χ351111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ36111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ37111-1-111-1111111-1-1-1-111-1-11-1-1111-1-111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ38111-1-111-11111-1-111-1-1-1-1111-1-1111-1-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3911-1111-1-1-11-111-11-11-11-11-11111-1-1-1-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ4011-1111-1-1-11-11-11-111-1-11-111111-1-1-1-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ4111-1-1-11-11-11-111-1-11-111-1-111-1-11-1-1111-1-11−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ4211-1-1-11-11-11-11-111-1-11-111-11-1-11-1-111-111-1−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ432222222222220000220000-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i320000
χ44222-2-222-222220000-2-20000-111-1-1-1110000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i300001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i300001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320000
χ4522-2222-2-2-22-2200002-20000-1-1-1-111110000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000−1+i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000−1−i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ4622-2-2-22-22-22-220000-220000-111-111-1-10000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i300001−i3−1+i300001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i300001+i3−1−i300001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000
χ4733333333-1-1-1-11111-1-1111100000000-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000001−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000001+i321+i321+i321+i32
χ4833333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i32
χ49333-3-333-3-1-1-1-111-1-11111-1-100000000-1-111−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000001+i321+i32−1−i32−1−i32
χ50333-3-333-3-1-1-1-1-1-11111-1-1110000000011-1-1−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1−i32−1−i321+i321+i32
χ5133-3333-3-31-11-11-11-1-111-11-100000000-11-11−3+3i32−3+3i323−3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32000000001−i32−1+i321−i32−1+i32−3−3i32−3−3i323+3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32000000001+i32−1−i321+i32−1−i32
χ5233-3333-3-31-11-1-11-11-11-11-11000000001-11-1−3+3i32−3+3i323−3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200000000−1+i321−i32−1+i321−i32−3−3i32−3−3i323+3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200000000−1−i321+i32−1−i321+i32
χ5333-3-3-33-331-11-11-1-111-11-1-1100000000-111-1−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32000000001−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32000000001+i32−1−i32−1−i321+i32
χ5433-3-3-33-331-11-1-111-11-1-111-1000000001-1-11−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i3200000000−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i3200000000−1−i321+i321+i32−1−i32
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χ70111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ71111-1-111-1111111-1-1-1-111-1-11-1-1111-1-111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ72111-1-111-11111-1-111-1-1-1-1111-1-1111-1-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ7311-1111-1-1-11-111-11-11-11-11-11111-1-1-1-11-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ7411-1111-1-1-11-11-11-111-1-11-111111-1-1-1-1-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ7511-1-1-11-11-11-111-1-11-111-1-111-1-11-1-1111-1-11−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ7611-1-1-11-11-11-11-111-1-11-111-11-1-11-1-111-111-1−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ772222222222220000220000-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i320000
χ78222-2-222-222220000-2-20000-111-1-1-1110000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i300001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i300001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320000
χ7922-2222-2-2-22-2200002-20000-1-1-1-111110000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000−1−i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000−1+i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ8022-2-2-22-22-22-220000-220000-111-111-1-10000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i300001+i3−1−i300001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i300001−i3−1+i300001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000
χ8133333333-1-1-1-11111-1-1111100000000-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000001+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000001−i321−i321−i321−i32
χ8233333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i32
χ83333-3-333-3-1-1-1-111-1-11111-1-100000000-1-111−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000001−i321−i32−1+i32−1+i32
χ84333-3-333-3-1-1-1-1-1-11111-1-1110000000011-1-1−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1+i32−1+i321−i321−i32
χ8533-3333-3-31-11-11-11-1-111-11-100000000-11-11−3−3i32−3−3i323+3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32000000001+i32−1−i321+i32−1−i32−3+3i32−3+3i323−3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32000000001−i32−1+i321−i32−1+i32
χ8633-3333-3-31-11-1-11-11-11-11-11000000001-11-1−3−3i32−3−3i323+3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200000000−1−i321+i32−1−i321+i32−3+3i32−3+3i323−3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200000000−1+i321−i32−1+i321−i32
χ8733-3-3-33-331-11-11-1-111-11-1-1100000000-111-1−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32000000001+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32000000001−i32−1+i32−1+i321−i32
χ8833-3-3-33-331-11-1-111-11-1-111-1000000001-1-11−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323+3i32−3−3i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i3200000000−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323−3i32−3+3i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i3200000000−1+i321−i321−i32−1+i32
χ8966600-2-202-2-2200220000-2-2000000000000−3−3i3−3−3i3−3−3i3001+i31+i30−1−i31+i31+i3−1−i300−1−i3−1−i300001+i31+i3000000000000−3+3i3−3+3i3−3+3i3001−i31−i30−1+i31−i31−i3−1+i300−1+i3−1+i300001−i31−i3000000000000
χ9066600-2-202-2-2200-2-2000022000000000000−3−3i3−3−3i3−3−3i3001+i31+i30−1−i31+i31+i3−1−i3001+i31+i30000−1−i3−1−i3000000000000−3+3i3−3+3i3−3+3i3001−i31−i30−1+i31−i31−i3−1+i3001−i31−i30000−1+i3−1+i3000000000000
χ9166600-2-20-222-2220000-2-200000000000000−3−3i3−3−3i3−3−3i3001+i31+i301+i3−1−i3−1−i31+i3−1−i3−1−i300001+i31+i300000000000000−3+3i3−3+3i3−3+3i3001−i31−i301−i3−1+i3−1+i31−i3−1+i3−1+i300001−i31−i300000000000000
χ9266600-2-20-222-2-2-200002200000000000000−3−3i3−3−3i3−3−3i3001+i31+i301+i3−1−i3−1−i31+i31+i31+i30000−1−i3−1−i300000000000000−3+3i3−3+3i3−3+3i3001−i31−i301−i3−1+i3−1+i31−i31−i31−i30000−1+i3−1+i300000000000000
χ9366-600-22022-2-22-20000-2200000000000000−3−3i3−3−3i33+3i3001+i3−1−i30−1−i3−1−i31+i31+i3−1−i31+i300001+i3−1−i300000000000000−3+3i3−3+3i33−3i3001−i3−1+i30−1+i3−1+i31−i31−i3−1+i31−i300001−i3−1+i300000000000000
χ9466-600-22022-2-2-2200002-200000000000000−3−3i3−3−3i33+3i3001+i3−1−i30−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i300000000000000−3+3i3−3+3i33−3i3001−i3−1+i30−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i300000000000000
χ9566-600-220-2-222002-20000-22000000000000−3−3i3−3−3i33+3i3001+i3−1−i301+i31+i3−1−i3−1−i300−1−i31+i300001+i3−1−i3000000000000−3+3i3−3+3i33−3i3001−i3−1+i301−i31−i3−1+i3−1+i300−1+i31−i300001−i3−1+i3000000000000
χ9666-600-220-2-22200-2200002-2000000000000−3−3i3−3−3i33+3i3001+i3−1−i301+i31+i3−1−i3−1−i3001+i3−1−i30000−1−i31+i3000000000000−3+3i3−3+3i33−3i3001−i3−1+i301−i31−i3−1+i3−1+i3001−i3−1+i30000−1+i31−i3000000000000
χ978-804-40000000000000000022-2-200000000−4−4i34+4i30−2−2i32+2i300000000000000000−1−i3−1−i31+i31+i300000000−4+4i34−4i30−2+2i32−2i300000000000000000−1+i3−1+i31−i31−i300000000
χ988-804-400000000000000000-1-1113−33−30000−4−4i34+4i30−2−2i32+2i3000000000000000001+i321+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−4+4i34−4i30−2+2i32−2i3000000000000000001−i321−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ998-804-400000000000000000-1-111−33−330000−4−4i34+4i30−2−2i32+2i3000000000000000001+i321+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−4+4i34−4i30−2+2i32−2i3000000000000000001−i321−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ1008-80-44000000000000000002-22-200000000−4−4i34+4i302+2i3−2−2i300000000000000000−1−i31+i3−1−i31+i300000000−4+4i34−4i302−2i3−2+2i300000000000000000−1+i31−i3−1+i31−i300000000
χ1018-80-4400000000000000000-11-113−3−330000−4−4i34+4i302+2i3−2−2i3000000000000000001+i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−4+4i34−4i302−2i3−2+2i3000000000000000001−i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ1028-80-4400000000000000000-11-11−333−30000−4−4i34+4i302+2i3−2−2i3000000000000000001+i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000−4+4i34−4i302−2i3−2+2i3000000000000000001−i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000

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