Finite Group Databasebeta

← Group #10592058

Character table — Group #10592058

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order12222222366666662244446666121212121212121222444444366666663666666666121212126666121212121212121266121212121212366666663666666666121212126666121212121212121266121212121212
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
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-22-2-2-2222-2-2-22-20000000000000000000000002i−2i222-22-2-2-2222-2-2-22-20000000000000000000000002i−2i222-22-2-2-2222-2-2-22-20000000000000000000000002i−2i
χ14222-22-2-2-2222-2-2-22-2000000000000000000000000−2i2i222-22-2-2-2222-2-2-22-2000000000000000000000000−2i2i222-22-2-2-2222-2-2-22-2000000000000000000000000−2i2i
χ1522-22-22-2-222-22-2-2-22000000000000000000002i−2i000022-22-22-2-222-22-2-2-22000000000000000000002i−2i000022-22-22-2-222-22-2-2-22000000000000000000002i−2i0000
χ1622-22-22-2-222-22-2-2-2200000000000000000000−2i2i000022-22-22-2-222-22-2-2-2200000000000000000000−2i2i000022-22-22-2-222-22-2-2-2200000000000000000000−2i2i0000
χ1722-2-2-2-22222-2-222-2-22-2000022-2-2000000000000000022-2-2-2-22222-2-222-2-22-2000022-2-2000000000000000022-2-2-2-22222-2-222-2-22-2000022-2-20000000000000000
χ1822-2-2-2-22222-2-222-2-2-220000-2-222000000000000000022-2-2-2-22222-2-222-2-2-220000-2-222000000000000000022-2-2-2-22222-2-222-2-2-220000-2-2220000000000000000
χ1922-2-2-2-222-1-111-1-1112-20000-1-11133−3−333−3−30000000022-2-2-2-222-1-111-1-1112-20000-1-11133−3−333−3−30000000022-2-2-2-222-1-111-1-1112-20000-1-11133−3−333−3−300000000
χ2022-2-2-2-222-1-111-1-1112-20000-1-111−3−333−3−3330000000022-2-2-2-222-1-111-1-1112-20000-1-111−3−333−3−3330000000022-2-2-2-222-1-111-1-1112-20000-1-111−3−333−3−33300000000
χ2122-2-2-2-222-1-111-1-111-22000011-1-133−3−3−3−3330000000022-2-2-2-222-1-111-1-111-22000011-1-133−3−3−3−3330000000022-2-2-2-222-1-111-1-111-22000011-1-133−3−3−3−33300000000
χ2222-2-2-2-222-1-111-1-111-22000011-1-1−3−33333−3−30000000022-2-2-2-222-1-111-1-111-22000011-1-1−3−33333−3−30000000022-2-2-2-222-1-111-1-111-22000011-1-1−3−33333−3−300000000
χ232-222-2-22-22-2222-2-2-200002i−2i000000002i−2i2i−2i000000002-222-2-22-22-2222-2-2-200002i−2i000000002i−2i2i−2i000000002-222-2-22-22-2222-2-2-200002i−2i000000002i−2i2i−2i00000000
χ242-222-2-22-22-2222-2-2-20000−2i2i00000000−2i2i−2i2i000000002-222-2-22-22-2222-2-2-20000−2i2i00000000−2i2i−2i2i000000002-222-2-22-22-2222-2-2-20000−2i2i00000000−2i2i−2i2i00000000
χ252-222-2-22-2-11-1-1-111100002i−2i−i3i3−i3i33−33−3−ii−ii000000002-222-2-22-2-11-1-1-111100002i−2i−i3i3−i3i33−33−3−ii−ii000000002-222-2-22-2-11-1-1-111100002i−2i−i3i3−i3i33−33−3−ii−ii00000000
χ262-222-2-22-2-11-1-1-111100002i−2ii3−i3i3−i3−33−33−ii−ii000000002-222-2-22-2-11-1-1-111100002i−2ii3−i3i3−i3−33−33−ii−ii000000002-222-2-22-2-11-1-1-111100002i−2ii3−i3i3−i3−33−33−ii−ii00000000
χ272-222-2-22-2-11-1-1-11110000−2i2i−i3i3−i3i3−33−33i−ii−i000000002-222-2-22-2-11-1-1-11110000−2i2i−i3i3−i3i3−33−33i−ii−i000000002-222-2-22-2-11-1-1-11110000−2i2i−i3i3−i3i3−33−33i−ii−i00000000
χ282-222-2-22-2-11-1-1-11110000−2i2ii3−i3i3−i33−33−3i−ii−i000000002-222-2-22-2-11-1-1-11110000−2i2ii3−i3i3−i33−33−3i−ii−i000000002-222-2-22-2-11-1-1-11110000−2i2ii3−i3i3−i33−33−3i−ii−i00000000
χ292-22-2-22-222-22-2-22-220000000000000000002-20000002-22-2-22-222-22-2-22-220000000000000000002-20000002-22-2-22-222-22-2-22-220000000000000000002-2000000
χ302-22-2-22-222-22-2-22-22000000000000000000-220000002-22-2-22-222-22-2-22-22000000000000000000-220000002-22-2-22-222-22-2-22-22000000000000000000-22000000
χ312-2-222-2-222-2-22-222-200000000000000000000002-2002-2-222-2-222-2-22-222-200000000000000000000002-2002-2-222-2-222-2-22-222-200000000000000000000002-200
χ322-2-222-2-222-2-22-222-20000000000000000000000-22002-2-222-2-222-2-22-222-20000000000000000000000-22002-2-222-2-222-2-22-222-20000000000000000000000-2200
χ332-2-2-2222-22-2-2-22-222002-20000002-2-220000000000002-2-2-2222-22-2-2-22-222002-20000002-2-220000000000002-2-2-2222-22-2-2-22-222002-20000002-2-22000000000000
χ342-2-2-2222-22-2-2-22-22200-22000000-222-20000000000002-2-2-2222-22-2-2-22-22200-22000000-222-20000000000002-2-2-2222-22-2-2-22-22200-22000000-222-2000000000000
χ352-2-2-2222-2-1111-11-1-1002-200−i3i3i3−i3-111-1−i3i3i3−i3000000002-2-2-2222-2-1111-11-1-1002-200−i3i3i3−i3-111-1−i3i3i3−i3000000002-2-2-2222-2-1111-11-1-1002-200−i3i3i3−i3-111-1−i3i3i3−i300000000
χ362-2-2-2222-2-1111-11-1-1002-200i3−i3−i3i3-111-1i3−i3−i3i3000000002-2-2-2222-2-1111-11-1-1002-200i3−i3−i3i3-111-1i3−i3−i3i3000000002-2-2-2222-2-1111-11-1-1002-200i3−i3−i3i3-111-1i3−i3−i3i300000000
χ372-2-2-2222-2-1111-11-1-100-2200−i3i3i3−i31-1-11i3−i3−i3i3000000002-2-2-2222-2-1111-11-1-100-2200−i3i3i3−i31-1-11i3−i3−i3i3000000002-2-2-2222-2-1111-11-1-100-2200−i3i3i3−i31-1-11i3−i3−i3i300000000
χ382-2-2-2222-2-1111-11-1-100-2200i3−i3−i3i31-1-11−i3i3i3−i3000000002-2-2-2222-2-1111-11-1-100-2200i3−i3−i3i31-1-11−i3i3i3−i3000000002-2-2-2222-2-1111-11-1-100-2200i3−i3−i3i31-1-11−i3i3i3−i300000000
χ39444-44-4-4-4-2-2-2222-2200000000000000000000000000444-44-4-4-4-2-2-2222-2200000000000000000000000000444-44-4-4-4-2-2-2222-2200000000000000000000000000
χ4044-44-44-4-4-2-22-2222-20000000000000000000000000044-44-44-4-4-2-22-2222-20000000000000000000000000044-44-44-4-4-2-22-2222-200000000000000000000000000
χ414-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-200000000000000000000000000
χ424-4-444-4-44-222-22-2-22000000000000000000000000004-4-444-4-44-222-22-2-22000000000000000000000000004-4-444-4-44-222-22-2-2200000000000000000000000000
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
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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+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
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+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−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−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+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
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+i321−i321−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−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+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
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+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−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
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χ1082-222-2-22-22-2222-2-2-20000−2i2i00000000−2i2i−2i2i00000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000−2ζ112ζ1100000000−2ζ112ζ11−2ζ112ζ1100000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000−2ζ72ζ700000000−2ζ72ζ7−2ζ72ζ700000000
χ1092-222-2-22-2-11-1-1-111100002i−2i−i3i3−i3i33−33−3−ii−ii00000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3200002ζ11−2ζ11−3+i323−i32−3+i323−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−ζ11ζ11−ζ11ζ1100000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3200002ζ7−2ζ73+i32−3−i323+i32−3−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7ζ7−ζ7ζ700000000
χ1102-222-2-22-2-11-1-1-111100002i−2ii3−i3i3−i3−33−33−ii−ii00000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3200002ζ11−2ζ113−i32−3+i323−i32−3+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−ζ11ζ11−ζ11ζ1100000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3200002ζ7−2ζ7−3−i323+i32−3−i323+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7ζ7−ζ7ζ700000000
χ1112-222-2-22-2-11-1-1-11110000−2i2i−i3i3−i3i3−33−33i−ii−i00000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i320000−2ζ112ζ11−3+i323−i32−3+i323−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11ζ11−ζ11ζ11−ζ1100000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i320000−2ζ72ζ73+i32−3−i323+i32−3−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7−ζ7ζ7−ζ700000000
χ1122-222-2-22-2-11-1-1-11110000−2i2ii3−i3i3−i33−33−3i−ii−i00000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i320000−2ζ112ζ113−i32−3+i323−i32−3+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11ζ11−ζ11ζ11−ζ1100000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i320000−2ζ72ζ7−3−i323+i32−3−i323+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7−ζ7ζ7−ζ700000000
χ1132-22-2-22-222-22-2-22-220000000000000000002-2000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3000000000000000000−1−i31+i3000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3000000000000000000−1+i31−i3000000
χ1142-22-2-22-222-22-2-22-22000000000000000000-22000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000000000000000001+i3−1−i3000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000000000000000001−i3−1+i3000000
χ1152-2-222-2-222-2-22-222-200000000000000000000002-200−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i30000000000000000000000−1−i31+i300−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i30000000000000000000000−1+i31−i300
χ1162-2-222-2-222-2-22-222-20000000000000000000000-2200−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000000000000000001+i3−1−i300−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000000000000000001−i3−1+i300
χ1172-2-2-2222-22-2-2-22-222002-20000002-2-22000000000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i300−1−i31+i3000000−1−i31+i31+i3−1−i3000000000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i300−1+i31−i3000000−1+i31−i31−i3−1+i3000000000000
χ1182-2-2-2222-22-2-2-22-22200-22000000-222-2000000000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i30000001+i3−1−i3−1−i31+i3000000000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i30000001−i3−1+i3−1+i31−i3000000000000
χ1192-2-2-2222-2-1111-11-1-1002-200−i3i3i3−i3-111-1−i3i3i3−i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i3200−1−i31+i300−3+i323−i323−i32−3+i321+i32−1−i32−1−i321+i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i3200−1+i31−i3003+i32−3−i32−3−i323+i321−i32−1+i32−1+i321−i323+i32−3−i32−3−i323+i3200000000
χ1202-2-2-2222-2-1111-11-1-1002-200i3−i3−i3i3-111-1i3−i3−i3i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i3200−1−i31+i3003−i32−3+i32−3+i323−i321+i32−1−i32−1−i321+i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i3200−1+i31−i300−3−i323+i323+i32−3−i321−i32−1+i32−1+i321−i32−3−i323+i323+i32−3−i3200000000
χ1212-2-2-2222-2-1111-11-1-100-2200−i3i3i3−i31-1-11i3−i3−i3i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32001+i3−1−i300−3+i323−i323−i32−3+i32−1−i321+i321+i32−1−i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32001−i3−1+i3003+i32−3−i32−3−i323+i32−1+i321−i321−i32−1+i32−3−i323+i323+i32−3−i3200000000
χ1222-2-2-2222-2-1111-11-1-100-2200i3−i3−i3i31-1-11−i3i3i3−i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32001+i3−1−i3003−i32−3+i32−3+i323−i32−1−i321+i321+i32−1−i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32001−i3−1+i300−3−i323+i323+i32−3−i32−1+i321−i321−i32−1+i323+i32−3−i32−3−i323+i3200000000
χ123444-44-4-4-4-2-2-2222-2200000000000000000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i300000000000000000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i300000000000000000000000000
χ12444-44-44-4-4-2-22-2222-200000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i300000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i300000000000000000000000000
χ1254-44-4-44-44-22-222-22-200000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i300000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i300000000000000000000000000
χ1264-4-444-4-44-222-22-2-2200000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000000000000000

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