Finite Group Databasebeta

← Group #10595717

Character table — Group #10595717

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122224444444444444888812121212121212121111222244444444444448888121212121212121211112222444444444444488881212121212121212
order122236662224444661212121266121222244444366636666661212121266121212126612126661212121212366636666661212121266121212126612126661212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111-11-1-1-111-1-1-1-11-11-111-11-11-1-11111111111-11-1-1-111-1-1-1-11-11-111-11-11-1-11111111111-11-1-1-111-1-1-1-11-11-111-11-11-1-1
χ41111111111-11-1-1-111-1-1-1-11-11-1-1-11-11-1111111111111-11-1-1-111-1-1-1-11-11-1-1-11-11-1111111111111-11-1-1-111-1-1-1-11-11-1-1-11-11-111
χ5111111111-11-11-1-111-1-1-1-1-11-111-111-1-11-1111111111-11-11-1-111-1-1-1-1-11-111-111-1-11-1111111111-11-11-1-111-1-1-1-1-11-111-111-1-11-1
χ6111111111-11-11-1-111-1-1-1-1-11-11-11-1-111-11111111111-11-11-1-111-1-1-1-1-11-11-11-1-111-11111111111-11-11-1-111-1-1-1-1-11-11-11-1-111-11
χ7111111111-1-1-1-111111111-1-1-1-11-1-111-1-11111111111-1-1-1-111111111-1-1-1-11-1-111-1-11111111111-1-1-1-111111111-1-1-1-11-1-111-1-11
χ8111111111-1-1-1-111111111-1-1-1-1-111-1-111-1111111111-1-1-1-111111111-1-1-1-1-111-1-111-1111111111-1-1-1-111111111-1-1-1-1-111-1-111-1
χ911111111-111-1-11-1-1-111-1-111-1-111-1-11-11-111111111-111-1-11-1-1-111-1-111-1-111-1-11-11-111111111-111-1-11-1-1-111-1-111-1-111-1-11-11-1
χ1011111111-111-1-11-1-1-111-1-111-1-1-1-111-11-1111111111-111-1-11-1-1-111-1-111-1-1-1-111-11-1111111111-111-1-11-1-1-111-1-111-1-1-1-111-11-11
χ1111111111-11-1-11-11-1-1-1-1111-1-11111-1-1-1-1111111111-11-1-11-11-1-1-1-1111-1-11111-1-1-1-1111111111-11-1-11-11-1-1-1-1111-1-11111-1-1-1-11
χ1211111111-11-1-11-11-1-1-1-1111-1-11-1-1-11111-111111111-11-1-11-11-1-1-1-1111-1-11-1-1-11111-111111111-11-1-11-11-1-1-1-1111-1-11-1-1-11111-1
χ1311111111-1-111-1-11-1-1-1-111-111-11-1-1-1-111111111111-1-111-1-11-1-1-1-111-111-11-1-1-1-111111111111-1-111-1-11-1-1-1-111-111-11-1-1-1-1111
χ1411111111-1-111-1-11-1-1-1-111-111-1-11111-1-1-111111111-1-111-1-11-1-1-1-111-111-1-11111-1-1-111111111-1-111-1-11-1-1-1-111-111-1-11111-1-1-1
χ1511111111-1-1-1111-1-1-111-1-1-1-1111-11-111-1-111111111-1-1-1111-1-1-111-1-1-1-1111-11-111-1-111111111-1-1-1111-1-1-111-1-1-1-1111-11-111-1-1
χ1611111111-1-1-1111-1-1-111-1-1-1-111-11-11-1-11111111111-1-1-1111-1-1-111-1-1-1-111-11-11-1-11111111111-1-1-1111-1-1-111-1-1-1-111-11-11-1-111
χ172222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100000000
χ182222-1-1-1-122-22-2-2-2-1-11111-11-11000000002222-1-1-1-122-22-2-2-2-1-11111-11-11000000002222-1-1-1-122-22-2-2-2-1-11111-11-1100000000
χ192222-1-1-1-12-22-22-2-2-1-111111-11-1000000002222-1-1-1-12-22-22-2-2-1-111111-11-1000000002222-1-1-1-12-22-22-2-2-1-111111-11-100000000
χ202222-1-1-1-12-2-2-2-222-1-1-1-1-1-11111000000002222-1-1-1-12-2-2-2-222-1-1-1-1-1-11111000000002222-1-1-1-12-2-2-2-222-1-1-1-1-1-1111100000000
χ212222-1-1-1-1-222-2-22-211-1-111-1-111000000002222-1-1-1-1-222-2-22-211-1-111-1-111000000002222-1-1-1-1-222-2-22-211-1-111-1-11100000000
χ222222-1-1-1-1-22-2-22-221111-1-1-111-1000000002222-1-1-1-1-22-2-22-221111-1-1-111-1000000002222-1-1-1-1-22-2-22-221111-1-1-111-100000000
χ232222-1-1-1-1-2-222-2-221111-1-11-1-11000000002222-1-1-1-1-2-222-2-221111-1-11-1-11000000002222-1-1-1-1-2-222-2-221111-1-11-1-1100000000
χ242222-1-1-1-1-2-2-2222-211-1-11111-1-1000000002222-1-1-1-1-2-2-2222-211-1-11111-1-1000000002222-1-1-1-1-2-2-2222-211-1-11111-1-100000000
χ2544-4-44-44-4000000000000000000000000044-4-44-44-4000000000000000000000000044-4-44-44-40000000000000000000000000
χ2644-4-4-22-220000000−2i32i3000000000000000044-4-4-22-220000000−2i32i3000000000000000044-4-4-22-220000000−2i32i30000000000000000
χ2744-4-4-22-2200000002i3−2i3000000000000000044-4-4-22-2200000002i3−2i3000000000000000044-4-4-22-2200000002i3−2i30000000000000000
χ284-44-44-4-4400000000000000000000000004-44-44-4-4400000000000000000000000004-44-44-4-440000000000000000000000000
χ294-44-4-222-2000000000−2i32i3000000000000004-44-4-222-2000000000−2i32i3000000000000004-44-4-222-2000000000−2i32i300000000000000
χ304-44-4-222-20000000002i3−2i3000000000000004-44-4-222-20000000002i3−2i3000000000000004-44-4-222-20000000002i3−2i300000000000000
χ314-4-4444-4-400000000000000000000000004-4-4444-4-400000000000000000000000004-4-4444-4-40000000000000000000000000
χ324-4-44-2-2220000000000023−230000000000004-4-44-2-2220000000000023−230000000000004-4-44-2-2220000000000023−23000000000000
χ334-4-44-2-22200000000000−23230000000000004-4-44-2-22200000000000−23230000000000004-4-44-2-22200000000000−2323000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ351111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ361111111111-11-1-1-111-1-1-1-11-11-111-11-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32
χ371111111111-11-1-1-111-1-1-1-11-11-1-1-11-11-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−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−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32
χ38111111111-11-11-1-111-1-1-1-1-11-111-111-1-11-1−1+i32−1+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−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−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+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ39111111111-11-11-1-111-1-1-1-1-11-11-11-1-111-11−1+i32−1+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−i32−1+i321−i32−1+i321−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−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ40111111111-1-1-1-111111111-1-1-1-11-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ41111111111-1-1-1-111111111-1-1-1-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ4211111111-111-1-11-1-1-111-1-111-1-111-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4311111111-111-1-11-1-1-111-1-111-1-1-1-111-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ4411111111-11-1-11-11-1-1-1-1111-1-11111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+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−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ4511111111-11-1-11-11-1-1-1-1111-1-11-1-1-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−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−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ4611111111-1-111-1-11-1-1-1-111-111-11-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−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+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ4711111111-1-111-1-11-1-1-1-111-111-1-11111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ4811111111-1-1-1111-1-1-111-1-1-1-1111-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ4911111111-1-1-1111-1-1-111-1-1-1-111-11-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ502222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
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χ681111111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ691111111111-11-1-1-111-1-1-1-11-11-111-11-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32
χ701111111111-11-1-1-111-1-1-1-11-11-1-1-11-11-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32
χ71111111111-11-11-1-111-1-1-1-1-11-111-111-1-11-1−1−i32−1−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+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+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−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ72111111111-11-11-1-111-1-1-1-1-11-11-11-1-111-11−1−i32−1−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+i32−1−i321+i32−1−i321+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+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ73111111111-1-1-1-111111111-1-1-1-11-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ74111111111-1-1-1-111111111-1-1-1-1-111-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ7511111111-111-1-11-1-1-111-1-111-1-111-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ7611111111-111-1-11-1-1-111-1-111-1-1-1-111-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ7711111111-11-1-11-11-1-1-1-1111-1-11111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−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+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ7811111111-11-1-11-11-1-1-1-1111-1-11-1-1-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+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+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ7911111111-1-111-1-11-1-1-1-111-111-11-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+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−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ8011111111-1-111-1-11-1-1-1-111-111-1-11111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ8111111111-1-1-1111-1-1-111-1-1-1-1111-11-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32
χ8211111111-1-1-1111-1-1-111-1-1-1-111-11-11-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
χ832222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ842222-1-1-1-122-22-2-2-2-1-11111-11-1100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i3−1−i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i3−1+i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i3200000000
χ852222-1-1-1-12-22-22-2-2-1-111111-11-100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i3−1−i31+i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i3−1+i31−i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i3200000000
χ862222-1-1-1-12-2-2-2-222-1-1-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ872222-1-1-1-1-222-2-22-211-1-111-1-11100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ882222-1-1-1-1-22-2-22-221111-1-1-111-100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i3200000000
χ892222-1-1-1-1-2-222-2-221111-1-11-1-1100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i3200000000
χ902222-1-1-1-1-2-2-2222-211-1-11111-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ9144-4-44-44-40000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i30000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i30000000000000000000000000
χ9244-4-4-22-220000000−2i32i30000000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i31+i3−1−i30000000−3+i33−i30000000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i31−i3−1+i300000003+i3−3−i30000000000000000
χ9344-4-4-22-2200000002i3−2i30000000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i31+i3−1−i300000003−i3−3+i30000000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i31−i3−1+i30000000−3−i33+i30000000000000000
χ944-44-44-4-440000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i30000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i30000000000000000000000000
χ954-44-4-222-2000000000−2i32i300000000000000−2−2i32+2i3−2−2i32+2i31+i3−1−i3−1−i31+i3000000000−3+i33−i300000000000000−2+2i32−2i3−2+2i32−2i31−i3−1+i3−1+i31−i30000000003+i3−3−i300000000000000
χ964-44-4-222-20000000002i3−2i300000000000000−2−2i32+2i3−2−2i32+2i31+i3−1−i3−1−i31+i30000000003−i3−3+i300000000000000−2+2i32−2i3−2+2i32−2i31−i3−1+i3−1+i31−i3000000000−3−i33+i300000000000000
χ974-4-4444-4-40000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i30000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i30000000000000000000000000
χ984-4-44-2-2220000000000023−23000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i3000000000004ζ7+2ζ11−4ζ7−2ζ11000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i300000000000−2ζ7−4ζ112ζ7+4ζ11000000000000
χ994-4-44-2-22200000000000−2323000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i300000000000−4ζ7−2ζ114ζ7+2ζ11000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i3000000000002ζ7+4ζ11−2ζ7−4ζ11000000000000

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