Finite Group Databasebeta

← Group #10595789

Character table — Group #10595789

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444466668888121212121212111122222244444444444466668888121212121212111122222244444444444466668888121212121212
order1222344666444444121212121212224412121212224444366631212666121212121212121212121212661212121212126612121212366631212666121212121212121212121212661212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111-1-1-1-11-1-1-11-1111111111111-1-1-1-11111111111-1-1-1-11-1-1-11-1111111111111-1-1-1-11111111111-1-1-1-11-1-1-11-1
χ4111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-11
χ51111111111-1-11-11-1-1-111-1-1111111-1-1-111-1-1-11111111111-1-11-11-1-1-111-1-1111111-1-1-111-1-1-11111111111-1-11-11-1-1-111-1-1111111-1-1-111-1-1-1
χ61111111111-1-11-11-1-1-111-1-1-1-1-1-111-1-11-1-11111111111111-1-11-11-1-1-111-1-1-1-1-1-111-1-11-1-11111111111111-1-11-11-1-1-111-1-1-1-1-1-111-1-11-1-1111
χ71111111111-1-1-11-11-1-111-1-11111-1-111-1-1-11-111111111111-1-1-11-11-1-111-1-11111-1-111-1-1-11-111111111111-1-1-11-11-1-111-1-11111-1-111-1-1-11-11
χ81111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111-11-11111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111-11-11111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111-11-1
χ911111-1-11111-111-1-111-1-1-1-111-1-11-11-1-11-111-111111-1-11111-111-1-111-1-1-1-111-1-11-11-1-11-111-111111-1-11111-111-1-111-1-1-1-111-1-11-11-1-11-111-1
χ1011111-1-11111-111-1-111-1-1-1-1-1-1111-11-11-11-1-1111111-1-11111-111-1-111-1-1-1-1-1-1111-11-11-11-1-1111111-1-11111-111-1-111-1-1-1-1-1-1111-11-11-11-1-11
χ1111111-1-11111-1-1-11111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-1-1-11111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-1-1-11111-1-1-1-111-1-1-11-11-1-11-111
χ1211111-1-11111-1-1-11111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-1-1-11111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-1-1-11111-1-1-1-1-1-111-11-1111-11-1-1
χ1311111-1-1111-111-1-11-1-1-1-11111-1-11-1-1111-1-1-1111111-1-1111-111-1-11-1-1-1-11111-1-11-1-1111-1-1-1111111-1-1111-111-1-11-1-1-1-11111-1-11-1-1111-1-1-11
χ1411111-1-1111-111-1-11-1-1-1-111-1-1111-1-11-1-1111-111111-1-1111-111-1-11-1-1-1-111-1-1111-1-11-1-1111-111111-1-1111-111-1-11-1-1-1-111-1-1111-1-11-1-1111-1
χ1511111-1-1111-11-111-1-1-1-1-11111-1-1-111-11-111-1-111111-1-1111-11-111-1-1-1-1-11111-1-1-111-11-111-1-111111-1-1111-11-111-1-1-1-1-11111-1-1-111-11-111-1-1
χ1611111-1-1111-11-111-1-1-1-1-111-1-111-111-1-11-1-11111111-1-1111-11-111-1-1-1-1-111-1-111-111-1-11-1-11111111-1-1111-11-111-1-1-1-1-111-1-111-111-1-11-1-111
χ172222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000
χ182222-122-1-1-122-2-2-2-2-1-1-1-1-1-1000011110000002222-122-1-1-122-2-2-2-2-1-1-1-1-1-1000011110000002222-122-1-1-122-2-2-2-2-1-1-1-1-1-100001111000000
χ192222-122-1-1-1-2-22-22-211-1-1110000-1-1110000002222-122-1-1-1-2-22-22-211-1-1110000-1-1110000002222-122-1-1-1-2-22-22-211-1-1110000-1-111000000
χ202222-122-1-1-1-2-2-22-2211-1-111000011-1-10000002222-122-1-1-1-2-2-22-2211-1-111000011-1-10000002222-122-1-1-1-2-2-22-2211-1-111000011-1-1000000
χ212222-1-2-2-1-1-12-222-2-2-1-111110000-11-110000002222-1-2-2-1-1-12-222-2-2-1-111110000-11-110000002222-1-2-2-1-1-12-222-2-2-1-111110000-11-11000000
χ222222-1-2-2-1-1-12-2-2-222-1-1111100001-11-10000002222-1-2-2-1-1-12-2-2-222-1-1111100001-11-10000002222-1-2-2-1-1-12-2-2-222-1-1111100001-11-1000000
χ232222-1-2-2-1-1-1-222-2-221111-1-10000-111-10000002222-1-2-2-1-1-1-222-2-221111-1-10000-111-10000002222-1-2-2-1-1-1-222-2-221111-1-10000-111-1000000
χ242222-1-2-2-1-1-1-22-222-21111-1-100001-1-110000002222-1-2-2-1-1-1-22-222-21111-1-100001-1-110000002222-1-2-2-1-1-1-22-222-21111-1-100001-1-11000000
χ252-22-222i−2i-22-2000000002i−2i002-22i−2i00000000002-22-222i−2i-22-2000000002i−2i002-22i−2i00000000002-22-222i−2i-22-2000000002i−2i002-22i−2i0000000000
χ262-22-222i−2i-22-2000000002i−2i00-22−2i2i00000000002-22-222i−2i-22-2000000002i−2i00-22−2i2i00000000002-22-222i−2i-22-2000000002i−2i00-22−2i2i0000000000
χ272-22-22−2i2i-22-200000000−2i2i002-2−2i2i00000000002-22-22−2i2i-22-200000000−2i2i002-2−2i2i00000000002-22-22−2i2i-22-200000000−2i2i002-2−2i2i0000000000
χ282-22-22−2i2i-22-200000000−2i2i00-222i−2i00000000002-22-22−2i2i-22-200000000−2i2i00-222i−2i00000000002-22-22−2i2i-22-200000000−2i2i00-222i−2i0000000000
χ2944-4-44004-4-40000000000000000000000000044-4-44004-4-40000000000000000000000000044-4-44004-4-400000000000000000000000000
χ3044-4-4-200-222000000−2i32i300000000000000000044-4-4-200-222000000−2i32i300000000000000000044-4-4-200-222000000−2i32i3000000000000000000
χ3144-4-4-200-2220000002i3−2i300000000000000000044-4-4-200-2220000002i3−2i300000000000000000044-4-4-200-2220000002i3−2i3000000000000000000
χ324-44-4-24i−4i2-2200000000−2i2i00000000000000004-44-4-24i−4i2-2200000000−2i2i00000000000000004-44-4-24i−4i2-2200000000−2i2i0000000000000000
χ334-44-4-2−4i4i2-22000000002i−2i00000000000000004-44-4-2−4i4i2-22000000002i−2i00000000000000004-44-4-2−4i4i2-22000000002i−2i0000000000000000
χ344-4-44400-4-44000000000000000000000000004-4-44400-4-44000000000000000000000000004-4-44400-4-4400000000000000000000000000
χ354-4-44-20022-2000000000023−23000000000000004-4-44-20022-2000000000023−23000000000000004-4-44-20022-2000000000023−2300000000000000
χ364-4-44-20022-20000000000−2323000000000000004-4-44-20022-20000000000−2323000000000000004-4-44-20022-20000000000−232300000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111-1-1-1-11111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ39111111111111-1-1-1-11111111111-1-1-1-11-1-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−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+i321+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−i321+i321+i321+i32−1−i321+i32
χ40111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−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+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32
χ411111111111-1-11-11-1-1-111-1-1111111-1-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ421111111111-1-11-11-1-1-111-1-1-1-1-1-111-1-11-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+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
χ431111111111-1-1-11-11-1-111-1-11111-1-111-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ441111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−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+i321−i32−1+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−i321+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−i321+i32−1−i321+i32
χ4511111-1-11111-111-1-111-1-1-1-111-1-11-11-1-11-111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ4611111-1-11111-111-1-111-1-1-1-1-1-1111-11-11-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32
χ4711111-1-11111-1-1-11111-1-1-1-111-1-1-11-11-1-11-111−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32
χ4811111-1-11111-1-1-11111-1-1-1-1-1-111-11-1111-11-1-1−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ4911111-1-1111-111-1-11-1-1-1-11111-1-11-1-1111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−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−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+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+i32−1−i32
χ5011111-1-1111-111-1-11-1-1-1-111-1-1111-1-11-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+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−i321+i32
χ5111111-1-1111-11-111-1-1-1-1-11111-1-1-111-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ5211111-1-1111-11-111-1-1-1-1-111-1-111-111-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ532222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i32000000
χ542222-122-1-1-122-2-2-2-2-1-1-1-1-1-100001111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32000000
χ552222-122-1-1-1-2-22-22-211-1-1110000-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i31−i3−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i31+i3−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32000000
χ562222-122-1-1-1-2-2-22-2211-1-111000011-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i320000−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i320000−1−i32−1−i321+i321+i32000000
χ572222-1-2-2-1-1-12-222-2-2-1-111110000-11-11000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i32−1+i321−i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i32−1−i321+i32−1−i32000000
χ582222-1-2-2-1-1-12-2-2-222-1-1111100001-11-1000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i321−i32−1+i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i321+i32−1−i321+i32000000
χ592222-1-2-2-1-1-1-222-2-221111-1-10000-111-1000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i32−1+i32−1+i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i32−1−i32−1−i321+i32000000
χ602222-1-2-2-1-1-1-22-222-21111-1-100001-1-11000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i31−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i321−i321−i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i31+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i321+i321+i32−1−i32000000
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χ622-22-222i−2i-22-2000000002i−2i00-22−2i2i0000000000−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i3000000002ζ7−2ζ7001−i3−1+i3−2ζ72ζ70000000000−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i3000000002ζ11−2ζ11001+i3−1−i3−2ζ112ζ110000000000
χ632-22-22−2i2i-22-200000000−2i2i002-2−2i2i0000000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i300000000−2ζ72ζ700−1+i31−i3−2ζ72ζ70000000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i300000000−2ζ112ζ1100−1−i31+i3−2ζ112ζ110000000000
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χ741111111111111111111111-1-1-1-11111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
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χ791111111111-1-1-11-11-1-111-1-11111-1-111-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ801111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-111111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+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−i321+i32−1−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+i321−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+i321−i32−1+i321−i32
χ8111111-1-11111-111-1-111-1-1-1-111-1-11-11-1-11-111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ8211111-1-11111-111-1-111-1-1-1-1-1-1111-11-11-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32
χ8311111-1-11111-1-1-11111-1-1-1-111-1-1-11-11-1-11-111−1−i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32
χ8411111-1-11111-1-1-11111-1-1-1-1-1-111-11-1111-11-1-1−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32
χ8511111-1-1111-111-1-11-1-1-1-11111-1-11-1-1111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+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+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−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−i32−1+i32
χ8611111-1-1111-111-1-11-1-1-1-111-1-1111-1-11-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+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−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−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+i321−i32
χ8711111-1-1111-11-111-1-1-1-1-11111-1-1-111-11-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32
χ8811111-1-1111-11-111-1-1-1-1-111-1-111-111-1-11-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ892222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i32000000
χ902222-122-1-1-122-2-2-2-2-1-1-1-1-1-100001111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32000000
χ912222-122-1-1-1-2-22-22-211-1-1110000-1-111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i31+i3−1−i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i31−i3−1+i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32000000
χ922222-122-1-1-1-2-2-22-2211-1-111000011-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i320000−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i320000−1+i32−1+i321−i321−i32000000
χ932222-1-2-2-1-1-12-222-2-2-1-111110000-11-11000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i3−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i32−1−i321+i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i3−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i32−1+i321−i32−1+i32000000
χ942222-1-2-2-1-1-12-2-2-222-1-1111100001-11-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i321+i32−1−i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i321−i32−1+i321−i32000000
χ952222-1-2-2-1-1-1-222-2-221111-1-10000-111-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i32−1−i32−1−i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i32−1+i32−1+i321−i32000000
χ962222-1-2-2-1-1-1-22-222-21111-1-100001-1-11000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i31+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i321+i321+i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i31−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i321−i321−i32−1+i32000000
χ972-22-222i−2i-22-2000000002i−2i002-22i−2i0000000000−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i3000000002ζ11−2ζ1100−1−i31+i32ζ11−2ζ110000000000−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i3000000002ζ7−2ζ700−1+i31−i32ζ7−2ζ70000000000
χ982-22-222i−2i-22-2000000002i−2i00-22−2i2i0000000000−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i3000000002ζ11−2ζ11001+i3−1−i3−2ζ112ζ110000000000−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i3000000002ζ7−2ζ7001−i3−1+i3−2ζ72ζ70000000000
χ992-22-22−2i2i-22-200000000−2i2i002-2−2i2i0000000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i300000000−2ζ112ζ1100−1−i31+i3−2ζ112ζ110000000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i300000000−2ζ72ζ700−1+i31−i3−2ζ72ζ70000000000
χ1002-22-22−2i2i-22-200000000−2i2i00-222i−2i0000000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i300000000−2ζ112ζ11001+i3−1−i32ζ11−2ζ110000000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i300000000−2ζ72ζ7001−i3−1+i32ζ7−2ζ70000000000
χ10144-4-44004-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i300000000000000000000000000
χ10244-4-4-200-222000000−2i32i3000000000000000000−2−2i3−2−2i32+2i32+2i31+i3001+i3−1−i3−1−i3000000−3+i33−i3000000000000000000−2+2i3−2+2i32−2i32−2i31−i3001−i3−1+i3−1+i30000003+i3−3−i3000000000000000000
χ10344-4-4-200-2220000002i3−2i3000000000000000000−2−2i3−2−2i32+2i32+2i31+i3001+i3−1−i3−1−i30000003−i3−3+i3000000000000000000−2+2i3−2+2i32−2i32−2i31−i3001−i3−1+i3−1+i3000000−3−i33+i3000000000000000000
χ1044-44-4-24i−4i2-2200000000−2i2i0000000000000000−2−2i32+2i3−2−2i32+2i31+i34ζ11−4ζ11−1−i31+i3−1−i300000000−2ζ112ζ110000000000000000−2+2i32−2i3−2+2i32−2i31−i34ζ7−4ζ7−1+i31−i3−1+i300000000−2ζ72ζ70000000000000000
χ1054-44-4-2−4i4i2-22000000002i−2i0000000000000000−2−2i32+2i3−2−2i32+2i31+i3−4ζ114ζ11−1−i31+i3−1−i3000000002ζ11−2ζ110000000000000000−2+2i32−2i3−2+2i32−2i31−i3−4ζ74ζ7−1+i31−i3−1+i3000000002ζ7−2ζ70000000000000000
χ1064-4-44400-4-4400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3002+2i32+2i3−2−2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3002−2i32−2i3−2+2i300000000000000000000000000
χ1074-4-44-20022-2000000000023−2300000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i300000000004ζ7+2ζ11−4ζ7−2ζ1100000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i30000000000−2ζ7−4ζ112ζ7+4ζ1100000000000000
χ1084-4-44-20022-20000000000−232300000000000000−2−2i32+2i32+2i3−2−2i31+i300−1−i3−1−i31+i30000000000−4ζ7−2ζ114ζ7+2ζ1100000000000000−2+2i32−2i32−2i3−2+2i31−i300−1+i3−1+i31−i300000000002ζ7+4ζ11−2ζ7−4ζ1100000000000000

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