Finite Group Databasebeta

← Group #11723210

Character table — Group #11723210

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836
order122233666666346661212121212121212224422666666121244436663366666631266612121212121212126612126666666612121212123666336666663126661212121212121212661212666666661212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1-11111-1-1-1-1-1111111111111111111111111111-1-11-1-1-11111-1-1-1-1-1111111111111111111111111111-1-11-1-1-11111-1-1-1-1-1
χ31111111111111111111111111-1-111-1111-1-1-1-111-1-1-11111111111111111111111111-1-111-1111-1-1-1-111-1-1-11111111111111111111111111-1-111-1111-1-1-1-111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-11111111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-11111111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1
χ61111111111111-1111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-11
χ71111111111111-1111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11
χ81111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1
χ922222-12-1-12-12-12-1-1-122-1-1-1-1-1-122002000-1-1-1-10000022222-12-1-12-12-12-1-1-122-1-1-1-1-1-122002000-1-1-1-10000022222-12-1-12-12-12-1-1-122-1-1-1-1-1-122002000-1-1-1-100000
χ1022222-12-1-12-12-12-1-1-122-1-1-1-1-1-1-2-200-200011110000022222-12-1-12-12-12-1-1-122-1-1-1-1-1-1-2-200-200011110000022222-12-1-12-12-12-1-1-122-1-1-1-1-1-1-2-200-2000111100000
χ1122222-12-1-12-12-1-2-1-1-1-2-21111112200-2000-1-1110000022222-12-1-12-12-1-2-1-1-1-2-21111112200-2000-1-1110000022222-12-1-12-12-1-2-1-1-1-2-21111112200-2000-1-11100000
χ1222222-12-1-12-12-1-2-1-1-1-2-2111111-2-200200011-1-10000022222-12-1-12-12-1-2-1-1-1-2-2111111-2-200200011-1-10000022222-12-1-12-12-1-2-1-1-1-2-2111111-2-200200011-1-100000
χ132222-12-122-12-1-12-1-1-1-1-122-1-1-1-1002202-1-10000-1-10002222-12-122-12-1-12-1-1-1-1-122-1-1-1-1002202-1-10000-1-10002222-12-122-12-1-12-1-1-1-1-122-1-1-1-1002202-1-10000-1-1000
χ142222-12-122-12-1-12-1-1-1-1-122-1-1-1-100-2-20-2110000110002222-12-122-12-1-12-1-1-1-1-122-1-1-1-100-2-20-2110000110002222-12-122-12-1-12-1-1-1-1-122-1-1-1-100-2-20-211000011000
χ152222-12-122-12-1-1-2-1-1-111-2-2111100220-2110000-1-10002222-12-122-12-1-1-2-1-1-111-2-2111100220-2110000-1-10002222-12-122-12-1-1-2-1-1-111-2-2111100220-2110000-1-1000
χ162222-12-122-12-1-1-2-1-1-111-2-2111100-2-202-1-10000110002222-12-122-12-1-1-2-1-1-111-2-2111100-2-202-1-10000110002222-12-122-12-1-1-2-1-1-111-2-2111100-2-202-1-1000011000
χ1722-2-22222-2-2-2-2202-2-200000000002i−2i000000002i−2i00022-2-22222-2-2-2-2202-2-200000000002i−2i000000002i−2i00022-2-22222-2-2-2-2202-2-200000000002i−2i000000002i−2i000
χ1822-2-22222-2-2-2-2202-2-20000000000−2i2i00000000−2i2i00022-2-22222-2-2-2-2202-2-20000000000−2i2i00000000−2i2i00022-2-22222-2-2-2-2202-2-20000000000−2i2i00000000−2i2i000
χ1922-2-2-12-12-21-21-10-1113−30033−3−3002i−2i00−i3i30000−ii00022-2-2-12-12-21-21-10-1113−30033−3−3002i−2i00−i3i30000−ii00022-2-2-12-12-21-21-10-1113−30033−3−3002i−2i00−i3i30000−ii000
χ2022-2-2-12-12-21-21-10-1113−30033−3−300−2i2i00i3−i30000i−i00022-2-2-12-12-21-21-10-1113−30033−3−300−2i2i00i3−i30000i−i00022-2-2-12-12-21-21-10-1113−30033−3−300−2i2i00i3−i30000i−i000
χ2122-2-2-12-12-21-21-10-111−3300−3−333002i−2i00i3−i30000−ii00022-2-2-12-12-21-21-10-111−3300−3−333002i−2i00i3−i30000−ii00022-2-2-12-12-21-21-10-111−3300−3−333002i−2i00i3−i30000−ii000
χ2222-2-2-12-12-21-21-10-111−3300−3−33300−2i2i00−i3i30000i−i00022-2-2-12-12-21-21-10-111−3300−3−33300−2i2i00−i3i30000i−i00022-2-2-12-12-21-21-10-111−3300−3−33300−2i2i00−i3i30000i−i000
χ232-22-222-2-2-222-220-2-22000000002-20000002-200000002-22-222-2-2-222-220-2-22000000002-20000002-200000002-22-222-2-2-222-220-2-22000000002-20000002-20000000
χ242-22-222-2-2-222-220-2-2200000000-22000000-2200000002-22-222-2-2-222-220-2-2200000000-22000000-2200000002-22-222-2-2-222-220-2-2200000000-22000000-220000000
χ252-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i32-2000000-11−i3i3000002-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i32-2000000-11−i3i3000002-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i32-2000000-11−i3i300000
χ262-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i3-220000001-1i3−i3000002-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i3-220000001-1i3−i3000002-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i3-220000001-1i3−i300000
χ272-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i32-2000000-11i3−i3000002-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i32-2000000-11i3−i3000002-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i32-2000000-11i3−i300000
χ282-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i3-220000001-1−i3i3000002-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i3-220000001-1−i3i3000002-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i3-220000001-1−i3i300000
χ292-2-2222-2-22-2-2220-22-200000000000000000000002-202-2-2222-2-22-2-2220-22-200000000000000000000002-202-2-2222-2-22-2-2220-22-200000000000000000000002-20
χ302-2-2222-2-22-2-2220-22-20000000000000000000000-2202-2-2222-2-22-2-2220-22-20000000000000000000000-2202-2-2222-2-22-2-2220-22-20000000000000000000000-220
χ314444-2-2-2-2-2-2-2-214111-2-2-2-21111000000000000000004444-2-2-2-2-2-2-2-214111-2-2-2-21111000000000000000004444-2-2-2-2-2-2-2-214111-2-2-2-2111100000000000000000
χ324444-2-2-2-2-2-2-2-21-41112222-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-21-41112222-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-21-41112222-1-1-1-100000000000000000
χ3344-4-44-24-22-42-4-20-222000000000000000000000000044-4-44-24-22-42-4-20-222000000000000000000000000044-4-44-24-22-42-4-20-2220000000000000000000000000
χ3444-4-4-2-2-2-22222101-1-123−2300−3−3330000000000000000044-4-4-2-2-2-22222101-1-123−2300−3−3330000000000000000044-4-4-2-2-2-22222101-1-123−2300−3−33300000000000000000
χ3544-4-4-2-2-2-22222101-1-1−23230033−3−30000000000000000044-4-4-2-2-2-22222101-1-1−23230033−3−30000000000000000044-4-4-2-2-2-22222101-1-1−23230033−3−300000000000000000
χ364-44-4-242-4-4-242-2022-200000000000000000000000004-44-4-242-4-4-242-2022-200000000000000000000000004-44-4-242-4-4-242-2022-20000000000000000000000000
χ374-44-4-2-2222-2-2210-1-1100−2i32i3i3−i3i3−i3000000000000000004-44-4-2-2222-2-2210-1-1100−2i32i3i3−i3i3−i3000000000000000004-44-4-2-2222-2-2210-1-1100−2i32i3i3−i3i3−i300000000000000000
χ384-44-4-2-2222-2-2210-1-11002i3−2i3−i3i3−i3i3000000000000000004-44-4-2-2222-2-2210-1-11002i3−2i3−i3i3−i3i3000000000000000004-44-4-2-2222-2-2210-1-11002i3−2i3−i3i3−i3i300000000000000000
χ394-4-444-2-42-2-424-202-2200000000000000000000000004-4-444-2-42-2-424-202-2200000000000000000000000004-4-444-2-42-2-424-202-220000000000000000000000000
χ404-4-44-242-442-4-2-202-2200000000000000000000000004-4-44-242-442-4-2-202-2200000000000000000000000004-4-44-242-442-4-2-202-220000000000000000000000000
χ414-4-44-2-222-222-210-11-100003i−3i−3i3i000000000000000004-4-44-2-222-222-210-11-100003i−3i−3i3i000000000000000004-4-44-2-222-222-210-11-100003i−3i−3i3i00000000000000000
χ424-4-44-2-222-222-210-11-10000−3i3i3i−3i000000000000000004-4-44-2-222-222-210-11-10000−3i3i3i−3i000000000000000004-4-44-2-222-222-210-11-10000−3i3i3i−3i00000000000000000
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
χ44111111111111111111111111111-1-11-1-1-11111-1-1-1-1-1−1+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+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ451111111111111111111111111-1-111-1111-1-1-1-111-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ461111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ471111111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ481111111111111-1111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-11−1+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−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+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−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
χ491111111111111-1111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-11−1+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−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ501111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5122222-12-1-12-12-12-1-1-122-1-1-1-1-1-122002000-1-1-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i30001−i321−i321−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i30001+i321+i321+i321+i3200000
χ5222222-12-1-12-12-12-1-1-122-1-1-1-1-1-1-2-200-2000111100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3001−i3000−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3001+i3000−1−i32−1−i32−1−i32−1−i3200000
χ5322222-12-1-12-12-1-2-1-1-1-2-21111112200-2000-1-11100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i30001−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i30001+i321+i32−1−i32−1−i3200000
χ5422222-12-1-12-12-1-2-1-1-1-2-2111111-2-200200011-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i3000−1+i32−1+i321−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i3000−1−i32−1−i321+i321+i3200000
χ552222-12-122-12-1-12-1-1-1-1-122-1-1-1-1002202-1-10000-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i30−1+i31−i321−i3200001−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i30−1−i31+i321+i3200001+i321+i32000
χ562222-12-122-12-1-12-1-1-1-1-122-1-1-1-100-2-20-211000011000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32001−i31−i301−i3−1+i32−1+i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32001+i31+i301+i3−1−i32−1−i320000−1−i32−1−i32000
χ572222-12-122-12-1-1-2-1-1-111-2-2111100220-2110000-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i301−i3−1+i32−1+i3200001−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i301+i3−1−i32−1−i3200001+i321+i32000
χ582222-12-122-12-1-1-2-1-1-111-2-2111100-2-202-1-1000011000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32001−i31−i30−1+i31−i321−i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32001+i31+i30−1−i31+i321+i320000−1−i32−1−i32000
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χ6122-2-2-12-12-21-21-10-1113−30033−3−3002i−2i00−i3i30000−ii000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i3201−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11002ζ7−2ζ7003+i32−3−i320000−ζ7ζ7000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i3201+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11002ζ11−2ζ1100−3+i323−i320000−ζ11ζ11000
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χ6422-2-2-12-12-21-21-10-111−3300−3−33300−2i2i00−i3i30000i−i000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i3201−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1100−2ζ72ζ7003+i32−3−i320000ζ7−ζ7000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i3201+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ1100−2ζ112ζ1100−3+i323−i320000ζ11−ζ11000
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χ86111111111111111111111111111-1-11-1-1-11111-1-1-1-1-1−1−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−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
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χ891111111111111-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
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χ9622222-12-1-12-12-1-2-1-1-1-2-2111111-2-200200011-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i3000−1−i32−1−i321+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i3000−1+i32−1+i321−i321−i3200000
χ972222-12-122-12-1-12-1-1-1-1-122-1-1-1-1002202-1-10000-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i30−1−i31+i321+i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i30−1+i31−i321−i3200001−i321−i32000
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χ10222-2-22222-2-2-2-2202-2-20000000000−2i2i00000000−2i2i000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30−1−i31+i31+i30000000000−2ζ112ζ1100000000−2ζ112ζ11000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30−1+i31−i31−i30000000000−2ζ72ζ700000000−2ζ72ζ7000
χ10322-2-2-12-12-21-21-10-1113−30033−3−3002i−2i00−i3i30000−ii000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i3201+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11002ζ11−2ζ1100−3+i323−i320000−ζ11ζ11000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i3201−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11002ζ7−2ζ7003+i32−3−i320000−ζ7ζ7000
χ10422-2-2-12-12-21-21-10-1113−30033−3−300−2i2i00i3−i30000i−i000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i3201+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100−2ζ112ζ11003−i32−3+i320000ζ11−ζ11000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i3201−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100−2ζ72ζ700−3−i323+i320000ζ7−ζ7000
χ10522-2-2-12-12-21-21-10-111−3300−3−333002i−2i00i3−i30000−ii000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i3201+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11002ζ11−2ζ11003−i32−3+i320000−ζ11ζ11000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i3201−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11002ζ7−2ζ700−3−i323+i320000−ζ7ζ7000
χ10622-2-2-12-12-21-21-10-111−3300−3−33300−2i2i00−i3i30000i−i000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i3201+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ1100−2ζ112ζ1100−3+i323−i320000ζ11−ζ11000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i3201−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1100−2ζ72ζ7003+i32−3−i320000ζ7−ζ7000
χ1072-22-222-2-2-222-220-2-22000000002-20000002-20000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i301+i31+i3−1−i300000000−1−i31+i3000000−1−i31+i30000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i301−i31−i3−1+i300000000−1+i31−i3000000−1+i31−i30000000
χ1082-22-222-2-2-222-220-2-2200000000-22000000-220000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i301+i31+i3−1−i3000000001+i3−1−i30000001+i3−1−i30000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i301−i31−i3−1+i3000000001−i3−1+i30000001−i3−1+i30000000
χ1092-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i32-2000000-11−i3i300000−1−i31+i3−1−i31+i3−1−i31+i321+i3−1−i32−1−i32−1−i31+i321+i31+i320−1−i32−1−i321+i3200−3+i323−i32−3+i323−i32−3+i323−i32−1−i31+i30000001+i32−1−i32−3+i323−i3200000−1+i31−i3−1+i31−i3−1+i31−i321−i3−1+i32−1+i32−1+i31−i321−i31−i320−1+i32−1+i321−i32003+i32−3−i323+i32−3−i323+i32−3−i32−1+i31−i30000001−i32−1+i323+i32−3−i3200000
χ1102-22-22-1-2112-1-2-1011-100−i3i3−i3i3−i3i3-220000001-1i3−i300000−1−i31+i3−1−i31+i3−1−i31+i321+i3−1−i32−1−i32−1−i31+i321+i31+i320−1−i32−1−i321+i3200−3+i323−i32−3+i323−i32−3+i323−i321+i3−1−i3000000−1−i321+i323−i32−3+i3200000−1+i31−i3−1+i31−i3−1+i31−i321−i3−1+i32−1+i32−1+i31−i321−i31−i320−1+i32−1+i321−i32003+i32−3−i323+i32−3−i323+i32−3−i321−i3−1+i3000000−1+i321−i32−3−i323+i3200000
χ1112-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i32-2000000-11i3−i300000−1−i31+i3−1−i31+i3−1−i31+i321+i3−1−i32−1−i32−1−i31+i321+i31+i320−1−i32−1−i321+i32003−i32−3+i323−i32−3+i323−i32−3+i32−1−i31+i30000001+i32−1−i323−i32−3+i3200000−1+i31−i3−1+i31−i3−1+i31−i321−i3−1+i32−1+i32−1+i31−i321−i31−i320−1+i32−1+i321−i3200−3−i323+i32−3−i323+i32−3−i323+i32−1+i31−i30000001−i32−1+i32−3−i323+i3200000
χ1122-22-22-1-2112-1-2-1011-100i3−i3i3−i3i3−i3-220000001-1−i3i300000−1−i31+i3−1−i31+i3−1−i31+i321+i3−1−i32−1−i32−1−i31+i321+i31+i320−1−i32−1−i321+i32003−i32−3+i323−i32−3+i323−i32−3+i321+i3−1−i3000000−1−i321+i32−3+i323−i3200000−1+i31−i3−1+i31−i3−1+i31−i321−i3−1+i32−1+i32−1+i31−i321−i31−i320−1+i32−1+i321−i3200−3−i323+i32−3−i323+i32−3−i323+i321−i3−1+i3000000−1+i321−i323+i32−3−i3200000
χ1132-2-2222-2-22-2-2220-22-200000000000000000000002-20−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i301+i3−1−i31+i30000000000000000000000−1−i31+i30−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i301−i3−1+i31−i30000000000000000000000−1+i31−i30
χ1142-2-2222-2-22-2-2220-22-20000000000000000000000-220−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i301+i3−1−i31+i300000000000000000000001+i3−1−i30−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i301−i3−1+i31−i300000000000000000000001−i3−1+i30
χ1154444-2-2-2-2-2-2-2-214111-2-2-2-2111100000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−2−2i3−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−2+2i3−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200000000000000000
χ1164444-2-2-2-2-2-2-2-21-41112222-1-1-1-100000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i322+2i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i322−2i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200000000000000000
χ11744-4-44-24-22-42-4-20-2220000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−2−2i31+i3−1−i32+2i3−1−i32+2i31+i301+i3−1−i3−1−i30000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−2+2i31−i3−1+i32−2i3−1+i32−2i31−i301−i3−1+i3−1+i30000000000000000000000000
χ11844-4-4-2-2-2-22222101-1-123−2300−3−33300000000000000000−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i320−1−i321+i321+i324ζ7+2ζ11−4ζ7−2ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ1100000000000000000−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i320−1+i321−i321−i32−2ζ7−4ζ112ζ7+4ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1100000000000000000
χ11944-4-4-2-2-2-22222101-1-1−23230033−3−300000000000000000−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i320−1−i321+i321+i32−4ζ7−2ζ114ζ7+2ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100000000000000000−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i320−1+i321−i321−i322ζ7+4ζ11−2ζ7−4ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100000000000000000
χ1204-44-4-242-4-4-242-2022-20000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i3−1−i32+2i32+2i31+i3−2−2i3−1−i31+i30−1−i3−1−i31+i30000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i3−1+i32−2i32−2i31−i3−2+2i3−1+i31−i30−1+i3−1+i31−i30000000000000000000000000
χ1214-44-4-2-2222-2-2210-1-1100−2i32i3i3−i3i3−i300000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3201+i321+i32−1−i3200−3+i33−i33−i32−3+i323−i32−3+i3200000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3201−i321−i32−1+i32003+i3−3−i3−3−i323+i32−3−i323+i3200000000000000000
χ1224-44-4-2-2222-2-2210-1-11002i3−2i3−i3i3−i3i300000000000000000−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3201+i321+i32−1−i32003−i3−3+i3−3+i323−i32−3+i323−i3200000000000000000−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3201−i321−i32−1+i3200−3−i33+i33+i32−3−i323+i32−3−i3200000000000000000
χ1234-4-444-2-42-2-424-202-220000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i32+2i3−1−i31+i32+2i3−1−i3−2−2i31+i30−1−i31+i3−1−i30000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i32−2i3−1+i31−i32−2i3−1+i3−2+2i31−i30−1+i31−i3−1+i30000000000000000000000000
χ1244-4-44-242-442-4-2-202-220000000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i3−1−i32+2i3−2−2i3−1−i32+2i31+i31+i30−1−i31+i3−1−i30000000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i3−1+i32−2i3−2+2i3−1+i32−2i31−i31−i30−1+i31−i3−1+i30000000000000000000000000
χ1254-4-44-2-222-222-210-11-100003i−3i−3i3i00000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3201+i32−1−i321+i3200003ζ11−3ζ11−3ζ113ζ1100000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3201−i32−1+i321−i3200003ζ7−3ζ7−3ζ73ζ700000000000000000
χ1264-4-44-2-222-222-210-11-10000−3i3i3i−3i00000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3201+i32−1−i321+i320000−3ζ113ζ113ζ11−3ζ1100000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3201−i32−1+i321−i320000−3ζ73ζ73ζ7−3ζ700000000000000000

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