Finite Group Databasebeta

← Group #10591813

Character table — Group #10591813

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444412121212121212121111222222222222224444444444444444121212121212121211112222222222222244444444444444441212121212121212
order122234444446661212121288881212121224242424242424244444444436663121212121212666121212122424242412121212242424242424242412121212121212123666312121212121266612121212242424241212121224242424242424241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ91-1-111ii−i−i1-11-1-111-1-11-1i−iii−i−i11-1-1ii−i−ii−ii−i1-11-11-1-111ii−i−i1-11-1-111-1-11-1i−iii−i−i11-1-1ii−i−ii−ii−i1-11-11-1-111ii−i−i1-11-1-111-1-11-1i−iii−i−i11-1-1ii−i−ii−ii−i1-11-1
χ101-1-111ii−i−i1-11-1-111-1-11-1i−iii−i−i11-1-1ii−i−i−ii−ii-11-111-1-111ii−i−i1-11-1-111-1-11-1i−iii−i−i11-1-1ii−i−i−ii−ii-11-111-1-111ii−i−i1-11-1-111-1-11-1i−iii−i−i11-1-1ii−i−i−ii−ii-11-11
χ111-1-111ii−i−i1-11-1-111-1-1-11−iiii−i−i-1-111−i−iiii−i−ii1-1-111-1-111ii−i−i1-11-1-111-1-1-11−iiii−i−i-1-111−i−iiii−i−ii1-1-111-1-111ii−i−i1-11-1-111-1-1-11−iiii−i−i-1-111−i−iiii−i−ii1-1-11
χ121-1-111ii−i−i1-11-1-111-1-1-11−iiii−i−i-1-111−i−iii−iii−i-111-11-1-111ii−i−i1-11-1-111-1-1-11−iiii−i−i-1-111−i−iii−iii−i-111-11-1-111ii−i−i1-11-1-111-1-1-11−iiii−i−i-1-111−i−iii−iii−i-111-1
χ131-1-111−i−iii1-11-1-111-1-11-1−ii−i−iii11-1-1−i−iiii−ii−i-11-111-1-111−i−iii1-11-1-111-1-11-1−ii−i−iii11-1-1−i−iiii−ii−i-11-111-1-111−i−iii1-11-1-111-1-11-1−ii−i−iii11-1-1−i−iiii−ii−i-11-11
χ141-1-111−i−iii1-11-1-111-1-11-1−ii−i−iii11-1-1−i−iii−ii−ii1-11-11-1-111−i−iii1-11-1-111-1-11-1−ii−i−iii11-1-1−i−iii−ii−ii1-11-11-1-111−i−iii1-11-1-111-1-11-1−ii−i−iii11-1-1−i−iii−ii−ii1-11-1
χ151-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−ii−i−ii-111-11-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−ii−i−ii-111-11-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−ii−i−ii-111-1
χ161-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−i−iii−i1-1-111-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−i−iii−i1-1-111-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−i−iii−i1-1-11
χ17222222-22-2-2-2222-2-2-2-200002-22-20000000000000000222222-22-2-2-2222-2-2-2-200002-22-20000000000000000222222-22-2-2-2222-2-2-2-200002-22-20000000000000000
χ1822222-22-22-2-2222-2-2-2-20000-22-22000000000000000022222-22-22-2-2222-2-2-2-20000-22-22000000000000000022222-22-22-2-2222-2-2-2-20000-22-220000000000000000
χ192222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ202222-1222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ212222-12-22-2-2-2-1-1-111110000-11-113−33−33−33−3000000002222-12-22-2-2-2-1-1-111110000-11-113−33−33−33−3000000002222-12-22-2-2-2-1-1-111110000-11-113−33−33−33−300000000
χ222222-12-22-2-2-2-1-1-111110000-11-11−33−33−33−33000000002222-12-22-2-2-2-1-1-111110000-11-11−33−33−33−33000000002222-12-22-2-2-2-1-1-111110000-11-11−33−33−33−3300000000
χ232222-1-22-22-2-2-1-1-1111100001-11-13−33−3−33−33000000002222-1-22-22-2-2-1-1-1111100001-11-13−33−3−33−33000000002222-1-22-22-2-2-1-1-1111100001-11-13−33−3−33−3300000000
χ242222-1-22-22-2-2-1-1-1111100001-11-1−33−333−33−3000000002222-1-22-22-2-2-1-1-1111100001-11-1−33−333−33−3000000002222-1-22-22-2-2-1-1-1111100001-11-1−33−333−33−300000000
χ252222-1-2-2-2-222-1-1-1-1-1-1-122-2-21111-1-1-1-11111000000002222-1-2-2-2-222-1-1-1-1-1-1-122-2-21111-1-1-1-11111000000002222-1-2-2-2-222-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000
χ262222-1-2-2-2-222-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000002222-1-2-2-2-222-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000002222-1-2-2-2-222-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000
χ272-2-2222i−2i−2i2i-222-2-2-2-22200002i−2i−2i2i00000000000000002-2-2222i−2i−2i2i-222-2-2-2-22200002i−2i−2i2i00000000000000002-2-2222i−2i−2i2i-222-2-2-2-22200002i−2i−2i2i0000000000000000
χ282-2-222−2i2i2i−2i-222-2-2-2-2220000−2i2i2i−2i00000000000000002-2-222−2i2i2i−2i-222-2-2-2-2220000−2i2i2i−2i00000000000000002-2-222−2i2i2i−2i-222-2-2-2-2220000−2i2i2i−2i0000000000000000
χ292-2-22-12i2i−2i−2i2-2-111-1-1112-22i−2i−i−iii-1-111−i−iii000000002-2-22-12i2i−2i−2i2-2-111-1-1112-22i−2i−i−iii-1-111−i−iii000000002-2-22-12i2i−2i−2i2-2-111-1-1112-22i−2i−i−iii-1-111−i−iii00000000
χ302-2-22-12i2i−2i−2i2-2-111-1-111-22−2i2i−i−iii11-1-1ii−i−i000000002-2-22-12i2i−2i−2i2-2-111-1-111-22−2i2i−i−iii11-1-1ii−i−i000000002-2-22-12i2i−2i−2i2-2-111-1-111-22−2i2i−i−iii11-1-1ii−i−i00000000
χ312-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i3−3−33i3−i3−i3i3000000002-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i3−3−33i3−i3−i3i3000000002-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i3−3−33i3−i3−i3i300000000
χ322-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i−333−3−i3i3i3−i3000000002-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i−333−3−i3i3i3−i3000000002-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i−333−3−i3i3i3−i300000000
χ332-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii3−3−33−i3i3i3−i3000000002-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii3−3−33−i3i3i3−i3000000002-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii3−3−33−i3i3i3−i300000000
χ342-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii−333−3i3−i3−i3i3000000002-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii−333−3i3−i3−i3i3000000002-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii−333−3i3−i3−i3i300000000
χ352-2-22-1−2i−2i2i2i2-2-111-1-1112-2−2i2iii−i−i-1-111ii−i−i000000002-2-22-1−2i−2i2i2i2-2-111-1-1112-2−2i2iii−i−i-1-111ii−i−i000000002-2-22-1−2i−2i2i2i2-2-111-1-1112-2−2i2iii−i−i-1-111ii−i−i00000000
χ362-2-22-1−2i−2i2i2i2-2-111-1-111-222i−2iii−i−i11-1-1−i−iii000000002-2-22-1−2i−2i2i2i2-2-111-1-111-222i−2iii−i−i11-1-1−i−iii000000002-2-22-1−2i−2i2i2i2-2-111-1-111-222i−2iii−i−i11-1-1−i−iii00000000
χ3744-4-44000000-44-4000000000000000000000000000044-4-44000000-44-4000000000000000000000000000044-4-44000000-44-40000000000000000000000000000
χ3844-4-4-20000002-2223−2323−2300000000000000000000000044-4-4-20000002-2223−2323−2300000000000000000000000044-4-4-20000002-2223−2323−23000000000000000000000000
χ3944-4-4-20000002-22−2323−232300000000000000000000000044-4-4-20000002-22−2323−232300000000000000000000000044-4-4-20000002-22−2323−2323000000000000000000000000
χ404-44-44000000-4-4400000000000000000000000000004-44-44000000-4-4400000000000000000000000000004-44-44000000-4-440000000000000000000000000000
χ414-44-4-200000022-223−23−23230000000000000000000000004-44-4-200000022-223−23−23230000000000000000000000004-44-4-200000022-223−23−2323000000000000000000000000
χ424-44-4-200000022-2−232323−230000000000000000000000004-44-4-200000022-2−232323−230000000000000000000000004-44-4-200000022-2−232323−23000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4711111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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+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+i321−i321−i321−i321−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−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−i321+i321+i321+i321+i32
χ4811111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ4911111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
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χ991-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−ii−i−ii-111-1−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32
χ1001-1-111−i−iii1-11-1-111-1-1-11i−i−i−iii-1-111ii−i−i−iii−i1-1-11−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ101222222-22-2-2-2222-2-2-2-200002-22-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3−1+i31−i30000000000000000
χ10222222-22-22-2-2222-2-2-2-20000-22-220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i31+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i31−i3−1+i30000000000000000
χ1032222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ1042222-1222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ1052222-12-22-2-2-2-1-1-111110000-11-113−33−33−33−300000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ1062222-12-22-2-2-2-1-1-111110000-11-11−33−33−33−3300000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1072222-1-22-22-2-2-1-1-1111100001-11-13−33−3−33−3300000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1082222-1-22-22-2-2-1-1-1111100001-11-1−33−333−33−300000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ1092222-1-2-2-2-222-1-1-1-1-1-1-122-2-21111-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ1102222-1-2-2-2-222-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ1112-2-2222i−2i−2i2i-222-2-2-2-22200002i−2i−2i2i0000000000000000−1−i31+i31+i3−1−i3−1−i32ζ11−2ζ11−2ζ112ζ111+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300002ζ11−2ζ11−2ζ112ζ110000000000000000−1+i31−i31−i3−1+i3−1+i32ζ7−2ζ7−2ζ72ζ71−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300002ζ7−2ζ7−2ζ72ζ70000000000000000
χ1122-2-222−2i2i2i−2i-222-2-2-2-2220000−2i2i2i−2i0000000000000000−1−i31+i31+i3−1−i3−1−i3−2ζ112ζ112ζ11−2ζ111+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−2ζ112ζ112ζ11−2ζ110000000000000000−1+i31−i31−i3−1+i3−1+i3−2ζ72ζ72ζ7−2ζ71−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−2ζ72ζ72ζ7−2ζ70000000000000000
χ1132-2-22-12i2i−2i−2i2-2-111-1-1112-22i−2i−i−iii-1-111−i−iii00000000−1−i31+i31+i3−1−i31+i322ζ112ζ11−2ζ11−2ζ11−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i31+i32ζ11−2ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ1100000000−1+i31−i31−i3−1+i31−i322ζ72ζ7−2ζ7−2ζ7−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i31−i32ζ7−2ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ700000000
χ1142-2-22-12i2i−2i−2i2-2-111-1-111-22−2i2i−i−iii11-1-1ii−i−i00000000−1−i31+i31+i3−1−i31+i322ζ112ζ11−2ζ11−2ζ11−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i3−1−i3−2ζ112ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ1100000000−1+i31−i31−i3−1+i31−i322ζ72ζ7−2ζ7−2ζ7−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i3−1+i3−2ζ72ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ700000000
χ1152-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i3−3−33i3−i3−i3i300000000−1−i31+i31+i3−1−i31+i322ζ11−2ζ11−2ζ112ζ111+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−ζ11ζ11ζ11−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ113−i32−3+i32−3+i323−i3200000000−1+i31−i31−i3−1+i31−i322ζ7−2ζ7−2ζ72ζ71−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−ζ7ζ7ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−3−i323+i323+i32−3−i3200000000
χ1162-2-22-12i−2i−2i2i-22-11111-1-10000−iii−i−333−3−i3i3i3−i300000000−1−i31+i31+i3−1−i31+i322ζ11−2ζ11−2ζ112ζ111+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−ζ11ζ11ζ11−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−3+i323−i323−i32−3+i3200000000−1+i31−i31−i3−1+i31−i322ζ7−2ζ7−2ζ72ζ71−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−ζ7ζ7ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ113+i32−3−i32−3−i323+i3200000000
χ1172-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii3−3−33−i3i3i3−i300000000−1−i31+i31+i3−1−i31+i32−2ζ112ζ112ζ11−2ζ111+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000ζ11−ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−3+i323−i323−i32−3+i3200000000−1+i31−i31−i3−1+i31−i32−2ζ72ζ72ζ7−2ζ71−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000ζ7−ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ113+i32−3−i32−3−i323+i3200000000
χ1182-2-22-1−2i2i2i−2i-22-11111-1-10000i−i−ii−333−3i3−i3−i3i300000000−1−i31+i31+i3−1−i31+i32−2ζ112ζ112ζ11−2ζ111+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000ζ11−ζ11−ζ11ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ113−i32−3+i32−3+i323−i3200000000−1+i31−i31−i3−1+i31−i32−2ζ72ζ72ζ7−2ζ71−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000ζ7−ζ7−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−3−i323+i323+i32−3−i3200000000
χ1192-2-22-1−2i−2i2i2i2-2-111-1-1112-2−2i2iii−i−i-1-111ii−i−i00000000−1−i31+i31+i3−1−i31+i32−2ζ11−2ζ112ζ112ζ11−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i31+i3−2ζ112ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100000000−1+i31−i31−i3−1+i31−i32−2ζ7−2ζ72ζ72ζ7−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i31−i3−2ζ72ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ700000000
χ1202-2-22-1−2i−2i2i2i2-2-111-1-111-222i−2iii−i−i11-1-1−i−iii00000000−1−i31+i31+i3−1−i31+i32−2ζ11−2ζ112ζ112ζ11−1−i31+i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i3−1−i32ζ11−2ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ1100000000−1+i31−i31−i3−1+i31−i32−2ζ7−2ζ72ζ72ζ7−1+i31−i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i3−1+i32ζ7−2ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ700000000
χ12144-4-44000000-44-40000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i30000002+2i3−2−2i32+2i30000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i30000002−2i3−2+2i32−2i30000000000000000000000000000
χ12244-4-4-20000002-2223−2323−23000000000000000000000000−2−2i3−2−2i32+2i32+2i31+i3000000−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000−2+2i3−2+2i32−2i32−2i31−i3000000−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000
χ12344-4-4-20000002-22−2323−2323000000000000000000000000−2−2i3−2−2i32+2i32+2i31+i3000000−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000−2+2i3−2+2i32−2i32−2i31−i3000000−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000
χ1244-44-44000000-4-440000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i30000002+2i32+2i3−2−2i30000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i30000002−2i32−2i3−2+2i30000000000000000000000000000
χ1254-44-4-200000022-223−23−2323000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3000000−1−i3−1−i31+i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3000000−1+i3−1+i31−i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000
χ1264-44-4-200000022-2−232323−23000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3000000−1−i3−1−i31+i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3000000−1+i3−1+i31−i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000

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