Finite Group Databasebeta

← Group #13166824

Character table — Group #13166824

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order1222334666666121212122222222222446666661212444443666331266666612121212666666666612126666661212121212121236663312666666121212126666666666121266666612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1
χ3111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i0000022-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i0000022-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i00000
χ1222-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i0000022-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i0000022-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i00000
χ1322-2-222022-2-2-2-20000-2-22200002-2002-20000000000022-2-222022-2-2-2-20000-2-22200002-2002-20000000000022-2-222022-2-2-2-20000-2-22200002-2002-200000000000
χ1422-2-222022-2-2-2-20000-2-2220000-2200-220000000000022-2-222022-2-2-2-20000-2-2220000-2200-220000000000022-2-222022-2-2-2-20000-2-2220000-2200-2200000000000
χ152-22-2220-2-22-2-2200002-22-200000000000000000002-22-22-2220-2-22-2-2200002-22-200000000000000000002-22-22-2220-2-22-2-2200002-22-200000000000000000002-2
χ162-22-2220-2-22-2-2200002-22-20000000000000000000-222-22-2220-2-22-2-2200002-22-20000000000000000000-222-22-2220-2-22-2-2200002-22-20000000000000000000-22
χ172-22-2220-2-22-2-220000-22-22000000000000000002-2002-22-2220-2-22-2-220000-22-22000000000000000002-2002-22-2220-2-22-2-220000-22-22000000000000000002-200
χ182-22-2220-2-22-2-220000-22-2200000000000000000-22002-22-2220-2-22-2-220000-22-2200000000000000000-22002-22-2220-2-22-2-220000-22-2200000000000000000-2200
χ192-2-22220-2-2-222-200002-2-222-2000000002-20000000002-2-22220-2-2-222-200002-2-222-2000000002-20000000002-2-22220-2-2-222-200002-2-222-2000000002-2000000000
χ202-2-22220-2-2-222-200002-2-22-2200000000-220000000002-2-22220-2-2-222-200002-2-22-2200000000-220000000002-2-22220-2-2-222-200002-2-22-2200000000-22000000000
χ212-2-22220-2-2-222-20000-222-2002-2000000002-200000002-2-22220-2-2-222-20000-222-2002-2000000002-200000002-2-22220-2-2-222-20000-222-2002-2000000002-20000000
χ222-2-22220-2-2-222-20000-222-200-2200000000-2200000002-2-22220-2-2-222-20000-222-200-2200000000-2200000002-2-22220-2-2-222-20000-222-200-2200000000-220000000
χ2344441-241-2-21-2111-2-2000000002222-1-10000-1-10000044441-241-2-21-2111-2-2000000002222-1-10000-1-10000044441-241-2-21-2111-2-2000000002222-1-10000-1-100000
χ2444441-241-2-21-2111-2-200000000-2-2-2-2110000110000044441-241-2-21-2111-2-200000000-2-2-2-2110000110000044441-241-2-21-2111-2-200000000-2-2-2-21100001100000
χ2544441-2-41-2-21-21-1-1220000000022-2-2-1-10000110000044441-2-41-2-21-21-1-1220000000022-2-2-1-10000110000044441-2-41-2-21-21-1-1220000000022-2-2-1-100001100000
χ2644441-2-41-2-21-21-1-12200000000-2-222110000-1-10000044441-2-41-2-21-21-1-12200000000-2-222110000-1-10000044441-2-41-2-21-21-1-12200000000-2-222110000-1-100000
χ274444-214-211-21-2-2-21100002222000000-1-1-1-100000004444-214-211-21-2-2-21100002222000000-1-1-1-100000004444-214-211-21-2-2-21100002222000000-1-1-1-10000000
χ284444-214-211-21-2-2-2110000-2-2-2-2000000111100000004444-214-211-21-2-2-2110000-2-2-2-2000000111100000004444-214-211-21-2-2-2110000-2-2-2-200000011110000000
χ294444-21-4-211-21-222-1-1000022-2-2000000-1-11100000004444-21-4-211-21-222-1-1000022-2-2000000-1-11100000004444-21-4-211-21-222-1-1000022-2-2000000-1-1110000000
χ304444-21-4-211-21-222-1-10000-2-22200000011-1-100000004444-21-4-211-21-222-1-10000-2-22200000011-1-100000004444-21-4-211-21-222-1-10000-2-22200000011-1-10000000
χ3144-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii0000044-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii0000044-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii00000
χ3244-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i0000044-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i0000044-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i00000
χ3344-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i0000044-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i0000044-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i00000
χ3444-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii0000044-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii0000044-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii00000
χ354-4-44-2102-1-1-212003-300002-22-2000000-11-1100000004-4-44-2102-1-1-212003-300002-22-2000000-11-1100000004-4-44-2102-1-1-212003-300002-22-2000000-11-110000000
χ364-4-44-2102-1-1-212003-30000-22-220000001-11-100000004-4-44-2102-1-1-212003-30000-22-220000001-11-100000004-4-44-2102-1-1-212003-30000-22-220000001-11-10000000
χ374-4-44-2102-1-1-21200-3300002-2-22000000-111-100000004-4-44-2102-1-1-21200-3300002-2-22000000-111-100000004-4-44-2102-1-1-21200-3300002-2-22000000-111-10000000
χ384-4-44-2102-1-1-21200-330000-222-20000001-1-1100000004-4-44-2102-1-1-21200-330000-222-20000001-1-1100000004-4-44-2102-1-1-21200-330000-222-20000001-1-110000000
χ3988-8-8-420-42-24-240000000000000000000000000000088-8-8-420-42-24-240000000000000000000000000000088-8-8-420-42-24-2400000000000000000000000000000
χ408-88-82-40-24-4-242000000000000000000000000000008-88-82-40-24-4-242000000000000000000000000000008-88-82-40-24-4-24200000000000000000000000000000
χ418-88-8-4204-224-2-4000000000000000000000000000008-88-8-4204-224-2-4000000000000000000000000000008-88-8-4204-224-2-400000000000000000000000000000
χ428-8-882-40-2442-4-2000000000000000000000000000008-8-882-40-2442-4-2000000000000000000000000000008-8-882-40-2442-4-200000000000000000000000000000
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
χ441111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i321−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−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ45111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1−1+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+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ47111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ48111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ49111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−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
χ50111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ5122222222222222222-2-2-2-20000000000000000-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000001−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000001+i30000
χ52222222-2222222-2-2-2-2-2-2-2-2000000000000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000−1−i30000
χ5322-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i00000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i30000002ζ7−2ζ70000002ζ7−2ζ700000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i30000002ζ11−2ζ110000002ζ11−2ζ1100000
χ5422-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i00000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i3000000−2ζ72ζ7000000−2ζ72ζ700000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i3000000−2ζ112ζ11000000−2ζ112ζ1100000
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χ88111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ89111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ90111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ91111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−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+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+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
χ92111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
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χ9722-2-222022-2-2-2-20000-2-22200002-2002-200000000000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i30000−1−i31+i300−1−i31+i300000000000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i30000−1+i31−i300−1+i31−i300000000000
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χ992-22-2220-2-22-2-2200002-22-200000000000000000002-2−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i30000000000000000000−1−i31+i3−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i30000000000000000000−1+i31−i3
χ1002-22-2220-2-22-2-2200002-22-20000000000000000000-22−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i300000000000000000001+i3−1−i3−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i300000000000000000001−i3−1+i3
χ1012-22-2220-2-22-2-220000-22-22000000000000000002-200−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i300000000000000000−1−i31+i300−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i300000000000000000−1+i31−i300
χ1022-22-2220-2-22-2-220000-22-2200000000000000000-2200−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000000000001+i3−1−i300−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000000000001−i3−1+i300
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χ1042-2-22220-2-2-222-200002-2-22-2200000000-22000000000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i31+i3−1−i3000000001+i3−1−i3000000000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i31−i3−1+i3000000001−i3−1+i3000000000
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χ1134444-21-4-211-21-222-1-1000022-2-2000000-1-1110000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i320000−1−i3−1−i31+i31+i30000001+i321+i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i320000−1+i3−1+i31−i31−i30000001−i321−i32−1+i32−1+i320000000
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χ11544-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i323ζ11−3ζ110000000000−1−i31+i32ζ11−2ζ111+i32−1−i320000−ζ11ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i323ζ7−3ζ70000000000−1+i31−i32ζ7−2ζ71−i32−1+i320000−ζ7ζ700000
χ11644-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i323ζ11−3ζ1100000000001+i3−1−i3−2ζ112ζ11−1−i321+i320000ζ11−ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i323ζ7−3ζ700000000001−i3−1+i3−2ζ72ζ7−1+i321−i320000ζ7−ζ700000
χ11744-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i32−3ζ113ζ110000000000−1−i31+i3−2ζ112ζ111+i32−1−i320000ζ11−ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i32−3ζ73ζ70000000000−1+i31−i3−2ζ72ζ71−i32−1+i320000ζ7−ζ700000
χ11844-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii00000−2−2i3−2−2i32+2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i32−3ζ113ζ1100000000001+i3−1−i32ζ11−2ζ11−1−i321+i320000−ζ11ζ1100000−2+2i3−2+2i32−2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i32−3ζ73ζ700000000001−i3−1+i32ζ7−2ζ7−1+i321−i320000−ζ7ζ700000
χ1194-4-44-2102-1-1-212003-300002-22-2000000-11-110000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i320000−1−i31+i3−1−i31+i30000001+i32−1−i321+i32−1−i320000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i320000−1+i31−i3−1+i31−i30000001−i32−1+i321−i32−1+i320000000
χ1204-4-44-2102-1-1-212003-30000-22-220000001-11-10000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i3200001+i3−1−i31+i3−1−i3000000−1−i321+i32−1−i321+i320000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i3200001−i3−1+i31−i3−1+i3000000−1+i321−i32−1+i321−i320000000
χ1214-4-44-2102-1-1-21200-3300002-2-22000000-111-10000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i320000−1−i31+i31+i3−1−i30000001+i32−1−i32−1−i321+i320000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i320000−1+i31−i31−i3−1+i30000001−i32−1+i32−1+i321−i320000000
χ1224-4-44-2102-1-1-21200-330000-222-20000001-1-110000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i3200001+i3−1−i3−1−i31+i3000000−1−i321+i321+i32−1−i320000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i3200001−i3−1+i3−1+i31−i3000000−1+i321−i321−i32−1+i320000000
χ12388-8-8-420-42-24-2400000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i302+2i3−1−i31+i3−2−2i31+i3−2−2i300000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i302−2i3−1+i31−i3−2+2i31−i3−2+2i300000000000000000000000000000
χ1248-88-82-40-24-4-24200000000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i3−2−2i32+2i31+i3−2−2i3−1−i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i3−2+2i32−2i31−i3−2+2i3−1+i300000000000000000000000000000
χ1258-88-8-4204-224-2-400000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i31+i3−1−i3−2−2i31+i32+2i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i31−i3−1+i3−2+2i31−i32−2i300000000000000000000000000000
χ1268-8-882-40-2442-4-200000000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i3−2−2i3−1−i32+2i31+i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i3−2+2i3−1+i32−2i31−i300000000000000000000000000000

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