Finite Group Databasebeta

← Group #13162011

Character table — Group #13162011

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444448888888888888888888888888888888888888363636363636363636363636363636363636727272727272727272
order122233344666666666333336666666666666661212121212124121212121212121212121212121212121212121212121212121212121212121212121212448888121212122424242424242424444121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-2000000000000000000002-2000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-220000-2-22200000000000000000
χ11222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1000000002000000-1-1
χ12222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000111100000000-200000011
χ13222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111220000-1-1-1-100000000-200000011
χ14222222-1222222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-200001111000000002000000-1-1
χ15222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i3-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-20000-1-111000000000000000−i3i3
χ16222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i3-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-22000011-1-1000000000000000i3−i3
χ17222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i3-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-20000-1-111000000000000000i3−i3
χ18222222-1-2-22222-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i3-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-22000011-1-1000000000000000−i3i3
χ1922222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002200000000-1-1-1-100200-1-100
χ2022222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200000000111100-2001100
χ2122222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-211111100002200000000-1-1-1-100-2001100
χ2222222-12222-12-1222-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-21111110000-2-200000000111100200-1-100
χ232222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000000-1-1-1-10000020-1-10000
χ242222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000000111100000-20110000
χ252222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-211110022000000-1-1-1-100000-20110000
χ262222-12222-12-1222-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100-2-200000011110000020-1-10000
χ2722-2-22222-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-200000000000000000000002i−2i0000002i2i−2i−2i0000000000000
χ2822-2-22222-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-20000000000000000000000−2i2i000000−2i−2i2i2i0000000000000
χ2922-2-2222-22-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-2220000000000000000000000002i−2i000000002i2i−2i−2i000000000
χ3022-2-2222-22-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-222000000000000000000000000−2i2i00000000−2i−2i2i2i000000000
χ3122-2-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i3001-1-221-111-1-1−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300002i−2i00000000−i−iii000003−300
χ3222-2-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i3001-1-221-111-1-1−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i30000−2i2i00000000ii−i−i00000−3300
χ3322-2-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i3001-1-221-111-1-1i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300002i−2i00000000−i−iii00000−3300
χ3422-2-22-12-22-212-1-2-2-212-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i3001-1-221-111-1-1i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i30000−2i2i00000000ii−i−i000003−300
χ3522-2-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000-11-112-2-1-111−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3002i−2i000000−i−iii00000003−30000
χ3622-2-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000-11-112-2-1-111−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300−2i2i000000ii−i−i0000000−330000
χ3722-2-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000-11-112-2-1-111i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3002i−2i000000−i−iii0000000−330000
χ3822-2-2-1222-21-2-12-2-21-22-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000-11-112-2-1-111i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300−2i2i000000ii−i−i00000003−30000
χ3944444-24-4-44-24-2444-24-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-42000000022-4-422222200000000000000000000000000000000000000000000000
χ4044444-2-2444-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2444-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2111111-2-2111111000000000000000000000000000
χ4144444-2-2444-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2-4-4-42222-2-2-2-2111111222222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000
χ4244444-2-2-4-44-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-2111-4222-4200000−2i32i32222-1-1-1-1-1-10000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000
χ4344444-2-2-4-44-24-2-2-24-2-2-2-2111-2-2-2-2111111-2-2111-4222-42000002i3−2i32222-1-1-1-1-1-100002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000
χ444444-244-4-4-24-2444-244-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-400000002222-4-4222200000000000000000000000000000000000000000000000
χ454444-24-244-24-24-2-2-24-2-21-211-2-211-2-21111-21-211-24-2-2-244-2-244-2-2-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000
χ464444-24-244-24-24-2-2-24-2-21-211-2-211-2-21111-21-211-24-2-2-24-422-4-422-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000
χ474444-24-2-4-4-24-24-2-2-24-2-21-211-2-211-2-21111-21-2112-4222-400000−2i32i322-1-122-1-1-1-10000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000
χ484444-24-2-4-4-24-24-2-2-24-2-21-211-2-211-2-21111-21-2112-4222-4000002i3−2i322-1-122-1-1-1-10000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000
χ494444-2-2444-2-2-2-244-2-241-2-21111-2-2-2-211111-2-211-2-244-2-24-2-2-2-24411-2-2-2-211111111-2-2-2-21111-2-2-2-21111000000000000000000000000000
χ504444-2-2444-2-2-2-244-2-241-2-21111-2-2-2-211111-2-211-2-244-2-2-42222-4-411-2-2-2-21111-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000000000000
χ514444-2-24-4-4-2-2-2-244-2-241-2-21111-2-2-2-211111-2-21122-4-4220000000-1-12222-1-1-1-13-3-3300003-3-3300003-3-33000000000000000000000000000
χ524444-2-24-4-4-2-2-2-244-2-241-2-21111-2-2-2-211111-2-21122-4-4220000000-1-12222-1-1-1-1-333-30000-333-30000-333-3000000000000000000000000000
χ534444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000
χ544444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000000000
χ554444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000
χ564444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000000000
χ574444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i3222222200000−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i323-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000
χ584444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32222222000002i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32000000000000000000000000000
χ594444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i3222222200000−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000
χ604444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32222222000002i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i323-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32000000000000000000000000000
χ6144-4-444-24-4-4-44422-4-4-24-2-2-2-2-4-4222222224-2-2-2-24-4-22-4400000004-4-22-22-2-22200000000000000000000000000000000000000000000000
χ6244-4-444-2-44-4-44422-4-4-24-2-2-2-2-4-4222222224-2-2-2-2-442-24-40000000-442-22-222-2-200000000000000000000000000000000000000000000000
χ6344-4-44-244-4-424-2-4-4-424-24-2-2-222-4-4222222-24-2-2-2424-4-4-20000000-224-4-22-2-22200000000000000000000000000000000000000000000000
χ6444-4-44-2-24-4-424-222-42-2-2-21112222-1-1-1-1-1-1-2-211142-22-4-20000000-22-221-111-1-10000003-333-3-300-33-3-333000000000000000000000000000
χ6544-4-44-2-24-4-424-222-42-2-2-21112222-1-1-1-1-1-1-2-211142-22-4-20000000-22-221-111-1-1000000-33-3-333003-333-3-3000000000000000000000000000
χ6644-4-44-2-2-44-424-222-42-2-2-21112222-1-1-1-1-1-1-2-2111-4-22-242000−2i32i3002-22-2-11-1-111−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000000000000000000000000
χ6744-4-44-2-2-44-424-222-42-2-2-21112222-1-1-1-1-1-1-2-2111-4-22-2420002i3−2i3002-22-2-11-1-1112i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000000000000000000000000
χ6844-4-4-244-442-4-24-4-42-44-2-24-2-22222-4-42222-2-24-2-224-44-2-400000002-22-2-4422-2-200000000000000000000000000000000000000000000000
χ6944-4-4-24-24-42-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211-2-4-22240−2i32i30000-221-1-2211-1-1−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000
χ7044-4-4-24-24-42-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211-2-4-222402i3−2i30000-221-1-2211-1-12i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000
χ7144-4-4-24-2-442-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211242-2-2-400000002-2-112-2-1-11100003-3003-33-3-3300-33-33000000000000000000000000000
χ7244-4-4-24-2-442-4-24222-4-2-21-21122-1-122-1-1-1-1-21-211242-2-2-400000002-2-112-2-1-1110000-3300-33-333-3003-33-3000000000000000000000000000
χ7344-4-4-2-244-422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-211-224-42-20−2i32i300001-1-22-2211-1-1i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000
χ7444-4-4-2-244-422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-211-224-42-202i3−2i300001-1-22-2211-1-1−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000
χ7544-4-4-2-24-4422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-2112-2-44-22000−2i32i300-112-22-2-1-111i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000
χ7644-4-4-2-24-4422-2-2-4-42241-2-211-1-12222-1-1-1-11-2-2112-2-44-220002i3−2i300-112-22-2-1-111−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000
χ7744-4-4-2-2-24-422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-20−2i32i300001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000
χ7844-4-4-2-2-24-422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-202i3−2i300001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000
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χ8044-4-4-2-2-24-422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-202i3−2i300001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000
χ8144-4-4-2-2-2-4422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-22000−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000
χ8244-4-4-2-2-2-4422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-220002i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000
χ8344-4-4-2-2-2-4422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-22000−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000
χ8444-4-4-2-2-2-4422-2-22222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-220002i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000
χ854-44-4444004-4-4-44-4-44-4444444-44-44-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ864-44-444-2004-4-4-4-22-4424-2-2-2-24-4-22-22-22-22-422220000000000000000000000000000000000000000000000000−2i32i30000000000000000000
χ874-44-444-2004-4-4-4-22-4424-2-2-2-24-4-22-22-22-22-4222200000000000000000000000000000000000000000000000002i3−2i30000000000000000000
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χ894-44-44-240042-424-4-4-2-4-24-2-2-2-224-4-22-22-222-4222000000000000000000000000000000000000000000000000000000000−66−66000000000
χ904-44-4-24400-2-42-44-424-4-2-24-2-2-22-224-4-22-2222-42200000000000000000000000000000000000000000000000000000i6−i6i6−i60000000000000
χ914-44-4-24400-2-42-44-424-4-2-24-2-2-22-224-4-22-2222-42200000000000000000000000000000000000000000000000000000−i6i6−i6i60000000000000
χ924-4-4444400-44-4-4-444-4-444444-44-44-44-44-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-200-44-4-42-24-424-2-2-2-2-442-22-22-22-2-42222000000000000000000000000000000000000000000000000000−2i32i300000000000000000
χ944-4-4444-200-44-4-42-24-424-2-2-2-2-442-22-22-22-2-422220000000000000000000000000000000000000000000000000002i3−2i300000000000000000
χ954-4-444-2400-4-2-42-4442-4-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ964-4-444-2400-4-2-42-4442-4-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ974-4-44-24400242-4-44-2-4-4-2-24-2-22-22-2-442-22-222-422000000000000000000000000000000000000000000000000000006−6−660000000000000
χ984-4-44-24400242-4-44-2-4-4-2-24-2-22-22-2-442-22-222-42200000000000000000000000000000000000000000000000000000−666−60000000000000
χ998-88-88-4-40084-84-44-8-44-4-4222-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-400-4-84-8-44484-42-422-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4800-44448-84-4-82-4-4222-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400-4444-444-44222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-4444-444-44222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-400-8-4-844-4844-4-42224-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-400484-84-4-4-84-42-4224-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48004-444-88-44-82-4-422-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4004-4444-4-444222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4004-4444-4-444222−1+3i3−1−3i3-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).