Finite Group Databasebeta

← Group #13178260

Character table — Group #13178260

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222244444444444444444444444444444888888888888888888888888888888888888363636363636363636363636363636363636363636363636727272727272
order122233366666666623333344666666666666666661212121266666666666612121212121212121212121212121212121212121212121222244444444466121212121212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-111-11-1-1-1-1-111-1-111-1-1-1-11-1-1-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1-1-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-111-111-1-1-1-11111111-1-11-1-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11-1-111111-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-1-1-11-1-1-1-11111-1-1-1-1111-1-11
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-11111-1-11111-1-11-11-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1111-1-1-1-1-1-111-1-11-11-111
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-11-111-11-11111-1-111-1-111-111-1-1-1
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-11-1-1-1-1-111-1-1-1-11111-111-1
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11-1-111111111-1-1-1-1-11-11
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1111111-1-111-1-111-1-1-1-1
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1111-1-1-11111-1-11111-1-111-1-1-1-111
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-111-111-1-111-1-1-1-1-1-1111-111-11
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1111-11-1-1-1-1-1-1-1-11111-1-1-11111-1
χ17222222-1222-12-12-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1200220020000-1-100-1-100000000-1-100
χ18222222-1222-12-12-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-200-2-200-20000110011000000001100
χ19222222-1222-12-12-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-1-21-2-2-2-211111111-2-2111111112002-200-20000-1-10011000000001-100
χ20222222-1222-12-12-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-1-21-2-2-2-211111111-2-211111111-200-2200200001100-1-100000000-1100
χ21222222-1222-12-12-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-2111111112-1-2-222-1-1-1-1-1-1-1-1-2-211111111200-2-20020000-1-1001100000000-1100
χ22222222-1222-12-12-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-2111111112-1-2-222-1-1-1-1-1-1-1-1-2-211111111-2002200-200001100-1-1000000001-100
χ23222222-1222-12-12-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-211111111-2122-2-21111111122-1-1-1-1-1-1-1-1200-2200-20000-1-100-1-1000000001100
χ24222222-1222-12-12-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-211111111-2122-2-21111111122-1-1-1-1-1-1-1-1-2002-2002000011001100000000-1-100
χ2522222-1222-12-12-1222-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-102000220200000-1-100-1-10000-1000-10
χ2622222-1222-12-12-1222-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10-2000-2-20-2000001100110000100010
χ2722222-1222-12-12-1222-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-2-2111-2-211111111-2-2111111020002-20-2000001100-1-10000-100010
χ2822222-1222-12-12-1222-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-2-2111-2-211111111-2-21111110-2000-220200000-1-1001100001000-10
χ2922222-1222-12-12-122-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-211111122-21-1-122-1-1-1-1-1-111-2-211111102000-220-2000001100110000-1000-10
χ3022222-1222-12-12-122-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-211111122-21-1-122-1-1-1-1-1-111-2-21111110-20002-20200000-1-100-1-10000100010
χ3122222-1222-12-12-122-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-2-22-111-2-2111111-1-122-1-1-1-1-1-102000-2-20200000-1-100110000-100010
χ3222222-1222-12-12-122-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-2-22-111-2-2111111-1-122-1-1-1-1-1-10-2000220-2000001100-1-100001000-10
χ332222-122-1-1222222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100200000022200000000-1-1-1-10-1000-1
χ342222-122-1-1222222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2000000-2-2-2000000001111010001
χ352222-122-1-1222222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-11-21-21111-2-211111111-2-21111002000000-2-220000000011110-1000-1
χ362222-122-1-1222222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-11-21-21111-2-211111111-2-2111100-200000022-200000000-1-1-1-1010001
χ372222-122-1-1222222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-21111-121-2-1-1-1-122-1-1-1-11111-2-21111002000000-22-20000000011-1-10-10001
χ382222-122-1-1222222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-21111-121-2-1-1-1-122-1-1-1-11111-2-2111100-20000002-2200000000-1-11101000-1
χ392222-122-1-1222222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-211111-2-121111-2-21111-1-1-1-122-1-1-1-10020000002-2-200000000-1-1110-10001
χ402222-122-1-1222222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-211111-2-121111-2-21111-1-1-1-122-1-1-1-100-2000000-2220000000011-1-101000-1
χ4144444-2-244-2-2-2-2-2-244-2-21114444-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2-2-21111114-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ4244444-2-244-2-2-2-2-2-244-2-2111-4-444-2-2111-2-2-2-21111112222-2-2-2-2-2-2111111-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000
χ4344444-2-244-2-2-2-2-2-24-4-2-21114-4-4-4-2-2111-2-2-2-2111111-2-222222222-1-1-1-1-1-14-2-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000
χ4444444-2-244-2-2-2-2-2-24-4-2-2111-44-4-4-2-2111-2-2-2-211111122-2-2222222-1-1-1-1-1-1-424-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ454444-24-2-2-24-24-24-2-24-21-21144-2-2-21-211-2-211-2-2111144-2-24-2-2-211-2-21111-2-2-24-2-211-2-21111-2-211-2-21111000000000000000000000000000000
χ464444-24-2-2-24-24-24-2-24-21-211-4-4-2-2-21-211-2-211-2-21111-4-4224-2-2-211-2-21111222-422-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000
χ474444-24-2-2-24-24-24-2-2-4-21-2114-422-21-211-2-211-2-211114422-4222-1-122-1-1-1-1-2-22-4-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000
χ484444-24-2-2-24-24-24-2-2-4-21-211-4422-21-211-2-211-2-21111-4-4-2-2-4222-1-122-1-1-1-122-2422-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000
χ494444-2-24-2-2-24-24-24-241-2-21144-2-21-2-21111-2-2-2-21111-2-244-2411-2-2-2-21111-24-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000
χ504444-2-24-2-2-24-24-24-241-2-211-4-4-2-21-2-21111-2-2-2-2111122-4-4-2411-2-2-2-211112-422-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ514444-2-24-2-2-24-24-24-2-41-2-2114-4221-2-21111-2-2-2-21111-2-2-4-42-4-1-12222-1-1-1-1-242211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000
χ524444-2-24-2-2-24-24-24-2-41-2-211-44221-2-21111-2-2-2-2111122442-4-1-12222-1-1-1-12-4-2-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000
χ534444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i3244-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
χ544444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-4-4-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i322222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ554444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i3244-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000
χ564444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-4-4-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i322222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i324-422111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-2-22222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-222111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4422111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i3222-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i3222-2-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
χ594444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i324-422111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-2-22222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-222111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
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χ804-4-444-2-2-4-422-2-22240-2-21110000-2-21112222-1-1-1-1-1-123−2323−230000003-33-33-3000023−2300−33−33−330023−23−33−33−33000000000000000000000000000000
χ814-4-444-2-2-4-422-2-22240-2-21110000-2-21112222-1-1-1-1-1-123−23−2323000000-33-33-33000023−2300−33−33−3300−23233−33−33−3000000000000000000000000000000
χ824-4-444-2-2-4-422-2-22240-2-21110000-2-21112222-1-1-1-1-1-1−232323−23000000-33-33-330000−2323003−33−33−30023−23−33−33−33000000000000000000000000000000
χ834-4-444-2-2-4-422-2-22240-2-21110000-2-21112222-1-1-1-1-1-1−2323−23230000003-33-33-30000−2323003−33−33−300−23233−33−33−3000000000000000000000000000000
χ844-4-44-24422-4-444-4-4-20-2-24-2-200−2i32i3-2-24-2-22222-4-42222000000−2i32i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ854-4-44-24422-4-444-4-4-20-2-24-2-2002i3−2i3-2-24-2-22222-4-422220000002i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ864-4-44-24-222-424-2-42-20-21-21100−2i32i3-21-21122-1-122-1-1-1-10023−2300−2i32i3i3−i300i3−i3−i3i30000003i−3i003i−3i−3i3i00−3323−23−33−33000000000000000000000000000000
χ874-4-44-24-222-424-2-42-20-21-21100−2i32i3-21-21122-1-122-1-1-1-100−232300−2i32i3i3−i300i3−i3−i3i3000000−3i3i00−3i3i3i−3i003−3−23233−33−3000000000000000000000000000000
χ884-4-44-24-222-424-2-42-20-21-211002i3−2i3-21-21122-1-122-1-1-1-10023−23002i3−2i3−i3i300−i3i3i3−i3000000−3i3i00−3i3i3i−3i00−3323−23−33−33000000000000000000000000000000
χ894-4-44-24-222-424-2-42-20-21-211002i3−2i3-21-21122-1-122-1-1-1-100−2323002i3−2i3−i3i300−i3i3i3−i30000003i−3i003i−3i−3i3i003−3−23233−33−3000000000000000000000000000000
χ904-4-44-2-24222-4-242-4-201-2-21100−2i32i31-2-211-1-12222-1-1-1-123−230000i3−i3−2i32i300i3−i3−i3i30000−330023−23−33−333i−3i00003i−3i−3i3i000000000000000000000000000000
χ914-4-44-2-24222-4-242-4-201-2-21100−2i32i31-2-211-1-12222-1-1-1-1−23230000i3−i3−2i32i300i3−i3−i3i300003−300−23233−33−3−3i3i0000−3i3i3i−3i000000000000000000000000000000
χ924-4-44-2-24222-4-242-4-201-2-211002i3−2i31-2-211-1-12222-1-1-1-123−230000−i3i32i3−2i300−i3i3i3−i30000−330023−23−33−33−3i3i0000−3i3i3i−3i000000000000000000000000000000
χ934-4-44-2-24222-4-242-4-201-2-211002i3−2i31-2-211-1-12222-1-1-1-1−23230000−i3i32i3−2i300−i3i3i3−i300003−300−23233−33−33i−3i00003i−3i−3i3i000000000000000000000000000000
χ944-4-44-2-2-22222-2-222-20111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i3223−2323−2300i3−i3i3−i33-3−3−i323+i32−3+i323−i320000−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ954-4-44-2-2-22222-2-222-20111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32−2323−232300i3−i3i3−i33-3−3−i323+i32−3+i323−i3200003−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ964-4-44-2-2-22222-2-222-20111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i3223−23−232300−i3i3−i3i3-333+i32−3−i323−i32−3+i320000−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ974-4-44-2-2-22222-2-222-20111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32−232323−2300−i3i3−i3i3-333+i32−3−i323−i32−3+i3200003−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ984-4-44-2-2-22222-2-222-20111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i3223−23−232300i3−i3i3−i3-333−i32−3+i323+i32−3−i320000−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ994-4-44-2-2-22222-2-222-20111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32−232323−2300i3−i3i3−i3-333−i32−3+i323+i32−3−i3200003−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1004-4-44-2-2-22222-2-222-20111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i3223−2323−2300−i3i3−i3i33-3−3+i323−i32−3−i323+i320000−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1014-4-44-2-2-22222-2-222-20111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32−2323−232300−i3i3−i3i33-3−3+i323−i32−3−i323+i3200003−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ10288-8-88-4-48-8-4-44444-80-4-4222000044-2-2-2-44-442-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4-448-4-84-8440-42-42200004-24-2-2-442-2-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-44-484-84-8402-4-4220000-244-2-22-2-44-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-44-4-4444440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i31+3i3−1+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-44-4-4444440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i31−3i3−1−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-884444-4-4-80-4-4222000044-2-2-24-44-4-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-4-84-848-440-42-42200004-24-2-24-4-224-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-484-44-84-8-48402-4-4220000-244-2-2-224-44-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44444-4-440222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i3−1−3i31−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-44444-4-440222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i3−1+3i31+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000

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