Finite Group Databasebeta

← Group #10595659

Character table — Group #10595659

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444412121212121212121111222222222222224444444444444444121212121212121211112222222222222244444444444444441212121212121212
order12223444444666121212122244666612121212121212122224444436663121212121212666121212126612126666121212121212121266612121212123666312121212121266612121212661212666612121212121212126661212121212
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
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1
χ4111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11
χ51111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-11
χ61111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-111-11111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-111-11111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-111-1
χ71111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1
χ81111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ911111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-11-11-1-11-1111111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-11-11-1-11-1111111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-11-11-1-11-11
χ1011111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-1-11-111-11-111111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-1-11-111-11-111111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-1-11-111-11-1
χ1111111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-1111-1-1111-1-111111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-1111-1-1111-1-111111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-1111-1-1111-1-1
χ1211111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-111-111-1-1-11111111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-111-111-1-1-11111111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-111-111-1-1-111
χ1311111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11-1-111
χ1411111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-111-111-111-1-111111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-111-111-111-1-111111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-111-111-111-1-1
χ1511111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-11-11-11-11-111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-11-11-11-11-111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-11-11-11-11-1
χ1611111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11-11-11-1111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11-11-11-1111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11-11-11-11
χ172222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ182222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000002222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000
χ192222-122-2-2-2-2-1-1-1111122-2-2-1-1-1-1-1-1111111000000002222-122-2-2-2-2-1-1-1111122-2-2-1-1-1-1-1-1111111000000002222-122-2-2-2-2-1-1-1111122-2-2-1-1-1-1-1-111111100000000
χ202222-122-2-2-2-2-1-1-11111-2-2221111-1-111-1-1-1-1000000002222-122-2-2-2-2-1-1-11111-2-2221111-1-111-1-1-1-1000000002222-122-2-2-2-2-1-1-11111-2-2221111-1-111-1-1-1-100000000
χ212222-1-2-222-2-2-1-1-1-1-1-1-12-22-2-1-1111111-1-111000000002222-1-2-222-2-2-1-1-1-1-1-1-12-22-2-1-1111111-1-111000000002222-1-2-222-2-2-1-1-1-1-1-1-12-22-2-1-1111111-1-11100000000
χ222222-1-2-222-2-2-1-1-1-1-1-1-1-22-2211-1-1111111-1-1000000002222-1-2-222-2-2-1-1-1-1-1-1-1-22-2211-1-1111111-1-1000000002222-1-2-222-2-2-1-1-1-1-1-1-1-22-2211-1-1111111-1-100000000
χ232222-1-2-2-2-222-1-1-111112-2-22-1-11111-1-111-1-1000000002222-1-2-2-2-222-1-1-111112-2-22-1-11111-1-111-1-1000000002222-1-2-2-2-222-1-1-111112-2-22-1-11111-1-111-1-100000000
χ242222-1-2-2-2-222-1-1-11111-222-211-1-111-1-1-1-111000000002222-1-2-2-2-222-1-1-11111-222-211-1-111-1-1-1-111000000002222-1-2-2-2-222-1-1-11111-222-211-1-111-1-1-1-11100000000
χ2522-2-222-22i−2i2i−2i2-2-22i2i−2i−2i000000002-22i−2i00000000000022-2-222-22i−2i2i−2i2-2-22i2i−2i−2i000000002-22i−2i00000000000022-2-222-22i−2i2i−2i2-2-22i2i−2i−2i000000002-22i−2i000000000000
χ2622-2-222-2−2i2i−2i2i2-2-2−2i−2i2i2i000000002-2−2i2i00000000000022-2-222-2−2i2i−2i2i2-2-2−2i−2i2i2i000000002-2−2i2i00000000000022-2-222-2−2i2i−2i2i2-2-2−2i−2i2i2i000000002-2−2i2i000000000000
χ2722-2-22-222i−2i−2i2i2-2-22i2i−2i−2i00000000-22−2i2i00000000000022-2-22-222i−2i−2i2i2-2-22i2i−2i−2i00000000-22−2i2i00000000000022-2-22-222i−2i−2i2i2-2-22i2i−2i−2i00000000-22−2i2i000000000000
χ2822-2-22-22−2i2i2i−2i2-2-2−2i−2i2i2i00000000-222i−2i00000000000022-2-22-22−2i2i2i−2i2-2-2−2i−2i2i2i00000000-222i−2i00000000000022-2-22-22−2i2i2i−2i2-2-2−2i−2i2i2i00000000-222i−2i000000000000
χ2922-2-2-12-22i−2i2i−2i-111−i−iii0000−i3i3−i3i3-11−ii3−33−30000000022-2-2-12-22i−2i2i−2i-111−i−iii0000−i3i3−i3i3-11−ii3−33−30000000022-2-2-12-22i−2i2i−2i-111−i−iii0000−i3i3−i3i3-11−ii3−33−300000000
χ3022-2-2-12-22i−2i2i−2i-111−i−iii0000i3−i3i3−i3-11−ii−33−330000000022-2-2-12-22i−2i2i−2i-111−i−iii0000i3−i3i3−i3-11−ii−33−330000000022-2-2-12-22i−2i2i−2i-111−i−iii0000i3−i3i3−i3-11−ii−33−3300000000
χ3122-2-2-12-2−2i2i−2i2i-111ii−i−i0000−i3i3−i3i3-11i−i−33−330000000022-2-2-12-2−2i2i−2i2i-111ii−i−i0000−i3i3−i3i3-11i−i−33−330000000022-2-2-12-2−2i2i−2i2i-111ii−i−i0000−i3i3−i3i3-11i−i−33−3300000000
χ3222-2-2-12-2−2i2i−2i2i-111ii−i−i0000i3−i3i3−i3-11i−i3−33−30000000022-2-2-12-2−2i2i−2i2i-111ii−i−i0000i3−i3i3−i3-11i−i3−33−30000000022-2-2-12-2−2i2i−2i2i-111ii−i−i0000i3−i3i3−i3-11i−i3−33−300000000
χ3322-2-2-1-222i−2i−2i2i-111−i−iii0000−i3i3i3−i31-1i−i3−3−330000000022-2-2-1-222i−2i−2i2i-111−i−iii0000−i3i3i3−i31-1i−i3−3−330000000022-2-2-1-222i−2i−2i2i-111−i−iii0000−i3i3i3−i31-1i−i3−3−3300000000
χ3422-2-2-1-222i−2i−2i2i-111−i−iii0000i3−i3−i3i31-1i−i−333−30000000022-2-2-1-222i−2i−2i2i-111−i−iii0000i3−i3−i3i31-1i−i−333−30000000022-2-2-1-222i−2i−2i2i-111−i−iii0000i3−i3−i3i31-1i−i−333−300000000
χ3522-2-2-1-22−2i2i2i−2i-111ii−i−i0000−i3i3i3−i31-1−ii−333−30000000022-2-2-1-22−2i2i2i−2i-111ii−i−i0000−i3i3i3−i31-1−ii−333−30000000022-2-2-1-22−2i2i2i−2i-111ii−i−i0000−i3i3i3−i31-1−ii−333−300000000
χ3622-2-2-1-22−2i2i2i−2i-111ii−i−i0000i3−i3−i3i31-1−ii3−3−330000000022-2-2-1-22−2i2i2i−2i-111ii−i−i0000i3−i3−i3i31-1−ii3−3−330000000022-2-2-1-22−2i2i2i−2i-111ii−i−i0000i3−i3−i3i31-1−ii3−3−3300000000
χ374-44-44000000-4-4400000000000000000000000000004-44-44000000-4-4400000000000000000000000000004-44-44000000-4-440000000000000000000000000000
χ384-44-4-200000022-2−2i32i3−2i32i30000000000000000000000004-44-4-200000022-2−2i32i3−2i32i30000000000000000000000004-44-4-200000022-2−2i32i3−2i32i3000000000000000000000000
χ394-44-4-200000022-22i3−2i32i3−2i30000000000000000000000004-44-4-200000022-22i3−2i32i3−2i30000000000000000000000004-44-4-200000022-22i3−2i32i3−2i3000000000000000000000000
χ404-4-444000000-44-400000000000000000000000000004-4-444000000-44-400000000000000000000000000004-4-444000000-44-40000000000000000000000000000
χ414-4-44-20000002-2223−23−23230000000000000000000000004-4-44-20000002-2223−23−23230000000000000000000000004-4-44-20000002-2223−23−2323000000000000000000000000
χ424-4-44-20000002-22−232323−230000000000000000000000004-4-44-20000002-22−232323−230000000000000000000000004-4-44-20000002-22−232323−23000000000000000000000000
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
χ45111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32
χ46111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−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−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+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ471111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ481111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ491111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−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+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−i321+i321+i321+i321+i321+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−i321+i321+i321+i321+i32
χ501111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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
χ5111111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-11-11-1-11-11−1+i32−1+i32−1+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ5211111-1-111-1-111111111-11-111-1-1-1-1-1-111-1-1-11-111-11-1−1+i32−1+i32−1+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ5311111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-1111-1-1111-1-1−1+i32−1+i32−1+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+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−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−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ5411111-1-111-1-11111111-11-11-1-111-1-1-1-1-1-111-111-1-1-111−1+i32−1+i32−1+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+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−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−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ5511111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ5611111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-111-111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ5711111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-11-11-11-11-1−1+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−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ5811111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11-11-11-11−1+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−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ592222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+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
χ602222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000−1+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−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+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ612222-122-2-2-2-2-1-1-1111122-2-2-1-1-1-1-1-111111100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−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−i31+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ622222-122-2-2-2-2-1-1-11111-2-2221111-1-111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i3200000000
χ632222-1-2-222-2-2-1-1-1-1-1-1-12-22-2-1-1111111-1-11100000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000
χ642222-1-2-222-2-2-1-1-1-1-1-1-1-22-2211-1-1111111-1-100000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000
χ652222-1-2-2-2-222-1-1-111112-2-22-1-11111-1-111-1-100000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200000000
χ662222-1-2-2-2-222-1-1-11111-222-211-1-111-1-1-1-11100000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200000000
χ6722-2-222-22i−2i2i−2i2-2-22i2i−2i−2i000000002-22i−2i000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i31−i32ζ72ζ7−2ζ7−2ζ700000000−1+i31−i32ζ7−2ζ7000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i31+i32ζ112ζ11−2ζ11−2ζ1100000000−1−i31+i32ζ11−2ζ11000000000000
χ6822-2-222-2−2i2i−2i2i2-2-2−2i−2i2i2i000000002-2−2i2i000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i31−i3−2ζ7−2ζ72ζ72ζ700000000−1+i31−i3−2ζ72ζ7000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i31+i3−2ζ11−2ζ112ζ112ζ1100000000−1−i31+i3−2ζ112ζ11000000000000
χ6922-2-22-222i−2i−2i2i2-2-22i2i−2i−2i00000000-22−2i2i000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7−1+i31−i31−i32ζ72ζ7−2ζ7−2ζ7000000001−i3−1+i3−2ζ72ζ7000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11−1−i31+i31+i32ζ112ζ11−2ζ11−2ζ11000000001+i3−1−i3−2ζ112ζ11000000000000
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χ9711111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ9811111-1-1-1-111111-1-1-1-11-1-1111-1-1-1-111-1-111-111-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ9911111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-11-11-11-11-1−1−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+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ10011111-1-1-1-111111-1-1-1-1-111-1-1-111-1-11111-1-1-11-11-11-11−1−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+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ1012222-1222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−1−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
χ1022222-1222222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000−1−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+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−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
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χ1052222-1-2-222-2-2-1-1-1-1-1-1-12-22-2-1-1111111-1-11100000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ1062222-1-2-222-2-2-1-1-1-1-1-1-1-22-2211-1-1111111-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
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χ12022-2-2-1-22−2i2i2i−2i-111ii−i−i0000i3−i3−i3i31-1−ii3−3−3300000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100003−i32−3+i32−3+i323−i32−1−i321+i32−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000−3−i323+i323+i32−3−i32−1+i321−i32−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1214-44-44000000-4-440000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i30000002+2i32+2i3−2−2i30000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i30000002−2i32−2i3−2+2i30000000000000000000000000000
χ1224-44-4-200000022-2−2i32i3−2i32i3000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3000000−1−i3−1−i31+i3−3+i33−i3−3+i33−i3000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3000000−1+i3−1+i31−i33+i3−3−i33+i3−3−i3000000000000000000000000
χ1234-44-4-200000022-22i3−2i32i3−2i3000000000000000000000000−2−2i32+2i3−2−2i32+2i31+i3000000−1−i3−1−i31+i33−i3−3+i33−i3−3+i3000000000000000000000000−2+2i32−2i3−2+2i32−2i31−i3000000−1+i3−1+i31−i3−3−i33+i3−3−i33+i3000000000000000000000000
χ1244-4-444000000-44-40000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i30000002+2i3−2−2i32+2i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i30000002−2i3−2+2i32−2i30000000000000000000000000000
χ1254-4-44-20000002-2223−23−2323000000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3000000−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3000000−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000
χ1264-4-44-20000002-22−232323−23000000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3000000−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3000000−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000

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