Finite Group Databasebeta

← Group #10595612

Character table — Group #10595612

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444412121212121212121111222222222222224444444444444444121212121212121211112222222222222244444444444444441212121212121212
order1222223444466666664444121212121212121212121212224444443666663121212126666666121212121212121212121212121212126612121212121236666631212121266666661212121212121212121212121212121266121212121212
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
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1
χ4111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11
χ51111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-11
χ61111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-11111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-11111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1
χ71111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ81111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ91111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-111111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-11
χ101111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-1
χ111111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-1111-111-11-1-11111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-1111-111-11-1-11111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-1111-111-11-1-1
χ121111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-111-11-1-11-1111111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-111-11-1-11-1111111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-111-11-1-11-111
χ131111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-1111-1-1-1-11111111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-1111-1-1-1-1111
χ141111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-111-11111-1-1-11111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-111-11111-1-1-11111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-111-11111-1-1-1
χ151111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-111-11-1-11-11111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-111-11-1-11-11111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-111-11-1-11-1
χ161111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-1-11-111-111111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-1-11-111-111111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-1-11-111-11
χ17222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000
χ19222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000
χ20222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000
χ212222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-111000000002222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-11100000000
χ222222-2-2-122-2-2-11111-1-1-22-2211-1-1-1-11111-1-1000000002222-2-2-122-2-2-11111-1-1-22-2211-1-1-1-11111-1-1000000002222-2-2-122-2-2-11111-1-1-22-2211-1-1-1-11111-1-100000000
χ232222-2-2-1-2-222-11111-1-12-2-22-1-11111-1-111-1-1000000002222-2-2-1-2-222-11111-1-12-2-22-1-11111-1-111-1-1000000002222-2-2-1-2-222-11111-1-12-2-22-1-11111-1-111-1-100000000
χ242222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-111000000002222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-11100000000
χ252-22-22-222i−2i2i−2i-222-2-22-2000000002i−2i2i−2i0000000000002-22-22-222i−2i2i−2i-222-2-22-2000000002i−2i2i−2i0000000000002-22-22-222i−2i2i−2i-222-2-22-2000000002i−2i2i−2i000000000000
χ262-22-22-22−2i2i−2i2i-222-2-22-200000000−2i2i−2i2i0000000000002-22-22-22−2i2i−2i2i-222-2-22-200000000−2i2i−2i2i0000000000002-22-22-22−2i2i−2i2i-222-2-22-200000000−2i2i−2i2i000000000000
χ272-22-22-2-12i−2i2i−2i1-1-111-110000−i3i3−i3i3−ii−ii3−33−3000000002-22-22-2-12i−2i2i−2i1-1-111-110000−i3i3−i3i3−ii−ii3−33−3000000002-22-22-2-12i−2i2i−2i1-1-111-110000−i3i3−i3i3−ii−ii3−33−300000000
χ282-22-22-2-12i−2i2i−2i1-1-111-110000i3−i3i3−i3−ii−ii−33−33000000002-22-22-2-12i−2i2i−2i1-1-111-110000i3−i3i3−i3−ii−ii−33−33000000002-22-22-2-12i−2i2i−2i1-1-111-110000i3−i3i3−i3−ii−ii−33−3300000000
χ292-22-22-2-1−2i2i−2i2i1-1-111-110000−i3i3−i3i3i−ii−i−33−33000000002-22-22-2-1−2i2i−2i2i1-1-111-110000−i3i3−i3i3i−ii−i−33−33000000002-22-22-2-1−2i2i−2i2i1-1-111-110000−i3i3−i3i3i−ii−i−33−3300000000
χ302-22-22-2-1−2i2i−2i2i1-1-111-110000i3−i3i3−i3i−ii−i3−33−3000000002-22-22-2-1−2i2i−2i2i1-1-111-110000i3−i3i3−i3i−ii−i3−33−3000000002-22-22-2-1−2i2i−2i2i1-1-111-110000i3−i3i3−i3i−ii−i3−33−300000000
χ312-22-2-2222i−2i−2i2i-2-2-2222-2000000002i−2i−2i2i0000000000002-22-2-2222i−2i−2i2i-2-2-2222-2000000002i−2i−2i2i0000000000002-22-2-2222i−2i−2i2i-2-2-2222-2000000002i−2i−2i2i000000000000
χ322-22-2-222−2i2i2i−2i-2-2-2222-200000000−2i2i2i−2i0000000000002-22-2-222−2i2i2i−2i-2-2-2222-200000000−2i2i2i−2i0000000000002-22-2-222−2i2i2i−2i-2-2-2222-200000000−2i2i2i−2i000000000000
χ332-22-2-22-12i−2i−2i2i111-1-1-110000−i3i3i3−i3−iii−i3−3−33000000002-22-2-22-12i−2i−2i2i111-1-1-110000−i3i3i3−i3−iii−i3−3−33000000002-22-2-22-12i−2i−2i2i111-1-1-110000−i3i3i3−i3−iii−i3−3−3300000000
χ342-22-2-22-12i−2i−2i2i111-1-1-110000i3−i3−i3i3−iii−i−333−3000000002-22-2-22-12i−2i−2i2i111-1-1-110000i3−i3−i3i3−iii−i−333−3000000002-22-2-22-12i−2i−2i2i111-1-1-110000i3−i3−i3i3−iii−i−333−300000000
χ352-22-2-22-1−2i2i2i−2i111-1-1-110000−i3i3i3−i3i−i−ii−333−3000000002-22-2-22-1−2i2i2i−2i111-1-1-110000−i3i3i3−i3i−i−ii−333−3000000002-22-2-22-1−2i2i2i−2i111-1-1-110000−i3i3i3−i3i−i−ii−333−300000000
χ362-22-2-22-1−2i2i2i−2i111-1-1-110000i3−i3−i3i3i−i−ii3−3−33000000002-22-2-22-1−2i2i2i−2i111-1-1-110000i3−i3−i3i3i−i−ii3−3−33000000002-22-2-22-1−2i2i2i−2i111-1-1-110000i3−i3−i3i3i−i−ii3−3−3300000000
χ3744-4-4004000040000-4-400000000000000000000000044-4-4004000040000-4-400000000000000000000000044-4-4004000040000-4-4000000000000000000000000
χ3844-4-400-20000-2−2i32i3−2i32i32200000000000000000000000044-4-400-20000-2−2i32i3−2i32i32200000000000000000000000044-4-400-20000-2−2i32i3−2i32i322000000000000000000000000
χ3944-4-400-20000-22i3−2i32i3−2i32200000000000000000000000044-4-400-20000-22i3−2i32i3−2i32200000000000000000000000044-4-400-20000-22i3−2i32i3−2i322000000000000000000000000
χ404-4-440040000-40000-440000000000000000000000004-4-440040000-40000-440000000000000000000000004-4-440040000-40000-44000000000000000000000000
χ414-4-4400-200002−2i32i32i3−2i32-20000000000000000000000004-4-4400-200002−2i32i32i3−2i32-20000000000000000000000004-4-4400-200002−2i32i32i3−2i32-2000000000000000000000000
χ424-4-4400-2000022i3−2i3−2i32i32-20000000000000000000000004-4-4400-2000022i3−2i3−2i32i32-20000000000000000000000004-4-4400-2000022i3−2i3−2i32i32-2000000000000000000000000
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
χ45111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1−1+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+i321−i32−1+i321−i32−1+i321−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−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ46111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11−1+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−i32−1+i321−i32−1+i321−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ471111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ481111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ491111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1+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−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+i32−1−i32−1−i321+i321+i32
χ501111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111−1+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−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+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−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−i321+i321+i32−1−i32−1−i32
χ511111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1111-1-1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ521111-1-1111-1-11-1-1-1-1111-11-111-1-111-1-111-1-1-1-1-11111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ531111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-1111-111-11-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32
χ541111-1-1111-1-11-1-1-1-111-11-11-1-11111-1-1-1-111-11-1-11-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32
χ551111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-1111-1-1-1-1111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ561111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-111-11111-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ571111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-111-11-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ581111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-1-11-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ59222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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−i3−1−i3−1−i31+i32−1−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
χ60222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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−i3−1−i3−1−i31+i32−1−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
χ61222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+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−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ62222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−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−i3−1−i3−1−i31+i321+i31+i31+i31+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
χ632222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-11100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000
χ642222-2-2-122-2-2-11111-1-1-22-2211-1-1-1-11111-1-100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000
χ652222-2-2-1-2-222-11111-1-12-2-22-1-11111-1-111-1-100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−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+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ662222-2-2-1-2-222-11111-1-1-222-211-1-111-1-1-1-11100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−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+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+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
χ672-22-22-222i−2i2i−2i-222-2-22-2000000002i−2i2i−2i000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ72ζ7−2ζ71−i3−1+i3−1+i31−i31−i3−1+i31−i3000000002ζ7−2ζ72ζ7−2ζ7000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ112ζ11−2ζ111+i3−1−i3−1−i31+i31+i3−1−i31+i3000000002ζ11−2ζ112ζ11−2ζ11000000000000
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χ971111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-1111-1-1-1-1111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ981111-1-11-1-1111-1-1-1-1111-1-1111-1-1-1-111-1-111-11111-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ991111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-111-11-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ1001111-1-11-1-1111-1-1-1-111-111-1-1-111-1-11111-1-1-1-11-111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ101222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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+i3−1+i3−1+i31−i32−1+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
χ102222222-12222-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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+i3−1+i3−1+i31−i32−1+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
χ103222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−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+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ104222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+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+i3−1+i3−1+i31−i321−i31−i31−i31−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
χ1052222-2-2-122-2-2-11111-1-12-22-2-1-111-1-111-1-11100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ1062222-2-2-122-2-2-11111-1-1-22-2211-1-1-1-11111-1-100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ1072222-2-2-1-2-222-11111-1-12-2-22-1-11111-1-111-1-100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+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−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−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
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χ1202-22-2-22-1−2i2i2i−2i111-1-1-110000i3−i3−i3i3i−i−ii3−3−3300000000−1−i31+i3−1−i31+i31+i3−1−i31+i32−2ζ112ζ112ζ11−2ζ11−1−i32−1−i32−1−i321+i321+i321+i32−1−i3200003−i32−3+i32−3+i323−i32ζ11−ζ11−ζ11ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i31−i3−1+i31−i31−i3−1+i31−i32−2ζ72ζ72ζ7−2ζ7−1+i32−1+i32−1+i321−i321−i321−i32−1+i320000−3−i323+i323+i32−3−i32ζ7−ζ7−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ12144-4-4004000040000-4-4000000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i30000−2−2i300002+2i32+2i3000000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i30000−2+2i300002−2i32−2i3000000000000000000000000
χ12244-4-400-20000-2−2i32i3−2i32i322000000000000000000000000−2−2i3−2−2i32+2i32+2i3001+i300001+i3−3+i33−i3−3+i33−i3−1−i3−1−i3000000000000000000000000−2+2i3−2+2i32−2i32−2i3001−i300001−i33+i3−3−i33+i3−3−i3−1+i3−1+i3000000000000000000000000
χ12344-4-400-20000-22i3−2i32i3−2i322000000000000000000000000−2−2i3−2−2i32+2i32+2i3001+i300001+i33−i3−3+i33−i3−3+i3−1−i3−1−i3000000000000000000000000−2+2i3−2+2i32−2i32−2i3001−i300001−i3−3−i33+i3−3−i33+i3−1+i3−1+i3000000000000000000000000
χ1244-4-440040000-40000-44000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i300002+2i300002+2i3−2−2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i300002−2i300002−2i3−2+2i3000000000000000000000000
χ1254-4-4400-200002−2i32i32i3−2i32-2000000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i3−3+i33−i33−i3−3+i3−1−i31+i3000000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i33+i3−3−i3−3−i33+i3−1+i31−i3000000000000000000000000
χ1264-4-4400-2000022i3−2i3−2i32i32-2000000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i33−i3−3+i3−3+i33−i3−1−i31+i3000000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i3−3−i33+i33+i3−3−i3−1+i31−i3000000000000000000000000

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