Finite Group Databasebeta

← Group #13178227

Character table — Group #13178227

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222244444444444444444444444444444888888888888888888888888888888888888363636363636363636363636363636363636363636363636727272727272
order122233366666666623333344666666666666666661212121266666666666612121212121212121212121212121212121212121212121222244444444466121212121212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1-1-111-1-1-1-11-111-11
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111111-1-1-1-11111-1-11-11-1
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-11111-1-1-1-1-1-1-11-1111
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-111-1-1-1-1-1-111-1-111-111-1
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-111-11-1-11-1-11-111111-1-111-1-111-11-1-1-11
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11-11-1-1-1-111-1-1-1-1111-11-111
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-111111111-1-1-1-111-1-1
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-111-11-1-11-1-11111111-1-1-1-1111-1-11-1-1
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-111-111-1-1111111-1-1-1-1-1-111
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-111-1-1-111-1-1-1-111-1-1111-1-11
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-11-1111-1-11-1-1-1-1-1-111-1-111-11111-1
χ17222222-12-1222-1-12222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220022000000-1-100-1-10000000-1-1000
χ18222222-12-1222-1-12222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-2000000110011000000011000
χ19222222-12-1222-1-12222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-11-2-2-2-2-211111111-2-2111111112-2002-2000000-1-1001100000001-1000
χ20222222-12-1222-1-12222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-11-2-2-2-2-211111111-2-211111111-2200-220000001100-1-10000000-11000
χ21222222-12-1222-1-122-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-211111111-1-2-2222-1-1-1-1-1-1-1-1-2-2111111112200-2-2000000-1-100110000000-11000
χ22222222-12-1222-1-122-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-211111111-1-2-2222-1-1-1-1-1-1-1-1-2-211111111-2-200220000001100-1-100000001-1000
χ23222222-12-1222-1-122-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-211111111122-2-2-21111111122-1-1-1-1-1-1-1-12-200-22000000-1-100-1-1000000011000
χ24222222-12-1222-1-122-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-211111111122-2-2-21111111122-1-1-1-1-1-1-1-1-22002-20000001100110000000-1-1000
χ2522222-1222-1-1222-122-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100220022000000-1-100-1-10000-1000-10
χ2622222-1222-1-1222-122-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000001100110000100010
χ2722222-1222-1-1222-122-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-2111111002-2002-20000001100-1-10000-100010
χ2822222-1222-1-1222-122-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-211111100-2200-22000000-1-1001100001000-10
χ2922222-1222-1-1222-12-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-21111112-212-1-122-1-1-1-1-1-111-2-2111111002-200-220000001100110000-1000-10
χ3022222-1222-1-1222-12-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-21111112-212-1-122-1-1-1-1-1-111-2-211111100-22002-2000000-1-100-1-10000100010
χ3122222-1222-1-1222-12-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-22-1-211-2-2111111-1-122-1-1-1-1-1-1002200-2-2000000-1-100110000-100010
χ3222222-1222-1-1222-12-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-22-1-211-2-2111111-1-122-1-1-1-1-1-100-2-200220000001100-1-100001000-10
χ332222-122-1222-1222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000222200000000-1-1-1-1000-10-1
χ342222-122-1222-1222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000001111000101
χ352222-122-1222-1222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-21-211111-2-211111111-2-211110000000022-2-2000000001111000-10-1
χ362222-122-1222-1222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-1-21-211111-2-211111111-2-2111100000000-2-22200000000-1-1-1-1000101
χ372222-122-1222-1222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-2111121-2-1-1-1-1-122-1-1-1-11111-2-21111000000002-22-200000000-1-111000-101
χ382222-122-1222-1222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-2111121-2-1-1-1-1-122-1-1-1-11111-2-2111100000000-22-220000000011-1-100010-1
χ392222-122-1222-1222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-21111-2-1211111-2-21111-1-1-1-122-1-1-1-1000000002-2-220000000011-1-1000-101
χ402222-122-1222-1222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-21111-2-1211111-2-21111-1-1-1-122-1-1-1-100000000-222-200000000-1-11100010-1
χ4144444-2-24-2-2-24-2-2-244-2-21114444-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2-2-2111111-24-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ4244444-2-24-2-2-24-2-2-244-2-2111-4-444-2-2111-2-2-2-21111112222-2-2-2-2-2-21111112-42-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000
χ4344444-2-24-2-2-24-2-2-24-4-2-21114-4-4-4-2-2111-2-2-2-2111111-2-222222222-1-1-1-1-1-1-2-424-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000
χ4444444-2-24-2-2-24-2-2-24-4-2-2111-44-4-4-2-2111-2-2-2-211111122-2-2222222-1-1-1-1-1-124-2-42222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ454444-24-2-2-244-2-2-24-24-21-21144-2-2-21-211-2-211-2-2111144-2-24-2-2-211-2-21111-2-24-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000
χ464444-24-2-2-244-2-2-24-24-21-211-4-4-2-2-21-211-2-211-2-21111-4-4224-2-2-211-2-2111122-4222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000
χ474444-24-2-2-244-2-2-24-2-4-21-2114-422-21-211-2-211-2-211114422-4222-1-122-1-1-1-1-22-4-2-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000
χ484444-24-2-2-244-2-2-24-2-4-21-211-4422-21-211-2-211-2-21111-4-4-2-2-4222-1-122-1-1-1-12-24222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000
χ494444-2-24-24-2-2-244-2-241-2-21144-2-21-2-21111-2-2-2-21111-2-244-2411-2-2-2-211114-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000
χ504444-2-24-24-2-2-244-2-241-2-211-4-4-2-21-2-21111-2-2-2-2111122-4-4-2411-2-2-2-21111-4222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ514444-2-24-24-2-2-244-2-2-41-2-2114-4221-2-21111-2-2-2-21111-2-2-4-42-4-1-12222-1-1-1-1422-211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000
χ524444-2-24-24-2-2-244-2-2-41-2-211-44221-2-21111-2-2-2-2111122442-4-1-12222-1-1-1-1-4-2-22-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000
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+3i321−3i321−3i32-222-2111111−1−3i32−1−3i32−1+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+3i321−3i321−3i322-2-22-1-1-1-1-1-11+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+3i32-222-2111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
χ604444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+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+3i322-2-22-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000
χ6144-4-444444-44-4-4-4-4-4044444000044444-4-4-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
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χ6644-4-44-2-24-22-2-4222-40-2-21110000-2-21112222-1-1-1-1-1-123−2323−230000003-33-33-3000023−2300−33−33−330023−23−33−33−33000000000000000000000000000000
χ6744-4-44-2-24-22-2-4222-40-2-21110000-2-21112222-1-1-1-1-1-123−23−2323000000-33-33-33000023−2300−33−33−3300−23233−33−33−3000000000000000000000000000000
χ6844-4-44-2-24-22-2-4222-40-2-21110000-2-21112222-1-1-1-1-1-1−232323−23000000-33-33-330000−2323003−33−33−30023−23−33−33−33000000000000000000000000000000
χ6944-4-44-2-24-22-2-4222-40-2-21110000-2-21112222-1-1-1-1-1-1−2323−23230000003-33-33-30000−2323003−33−33−300−23233−33−33−3000000000000000000000000000000
χ7044-4-4-244-24-442-4-4-420-2-24-2-200−2i32i3-2-24-2-22222-4-42222000000−2i32i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ7144-4-4-244-24-442-4-4-420-2-24-2-2002i3−2i3-2-24-2-22222-4-422220000002i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ7244-4-4-24-2-2-2-44222-420-21-21100−2i32i3-21-21122-1-122-1-1-1-10023−2300−2i32i3i3−i300i3−i3−i3i30000003i−3i003i−3i−3i3i00−3323−23−33−33000000000000000000000000000000
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χ7544-4-4-24-2-2-2-44222-420-21-211002i3−2i3-21-21122-1-122-1-1-1-100−2323002i3−2i3−i3i300−i3i3i3−i30000003i−3i003i−3i−3i3i003−3−23233−33−3000000000000000000000000000000
χ7644-4-4-2-24-242-22-4-42201-2-21100−2i32i31-2-211-1-12222-1-1-1-123−230000i3−i3−2i32i300i3−i3−i3i30000−330023−23−33−333i−3i00003i−3i−3i3i000000000000000000000000000000
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χ7844-4-4-2-24-242-22-4-42201-2-211002i3−2i31-2-211-1-12222-1-1-1-123−230000−i3i32i3−2i300−i3i3i3−i30000−330023−23−33−33−3i3i0000−3i3i3i−3i000000000000000000000000000000
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χ8244-4-4-2-2-2-2-22-2222220111−1−3i32−1+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
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χ8444-4-4-2-2-2-2-22-2222220111−1+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
χ8544-4-4-2-2-2-2-22-2222220111−1+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
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χ884-44-4444-4-44-4-44-4-440444440000-4-4-4-4-44-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-444-2-424-4-4-22-4404-2-2-2-20000-422224-4-22-22-22-220000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ904-44-444-2-424-4-4-22-4404-2-2-2-20000-422224-4-22-22-22-2200000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ914-44-44-24-4-4-22-44-4240-24-2-2-200002-4222-224-4-22-22-2200000000000000000000000000000000000000000000000000000023−2300000000000000
χ924-44-44-24-4-4-22-44-4240-24-2-2-200002-4222-224-4-22-22-22000000000000000000000000000000000000000000000000000000−232300000000000000
χ934-44-4-2442-44-424-4-4-20-2-24-2-2000022-422-22-224-4-22-2200000000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ944-44-4-2442-44-424-4-4-20-2-24-2-2000022-422-22-224-4-22-22000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ954-4-44444-4-4-4-44-444-40444440000-4-4-4-4-4-44-44-44-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-2-42-4-442-24-404-2-2-2-20000-42222-442-22-22-22-200000000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ974-4-4444-2-42-4-442-24-404-2-2-2-20000-42222-442-22-22-22-2000000000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ984-4-444-24-4-4224-44-2-40-24-2-2-200002-42222-2-442-22-22-20000000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ994-4-444-24-4-4224-44-2-40-24-2-2-200002-42222-2-442-22-22-200000000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ1004-4-44-2442-4-4-4-2-44420-2-24-2-2000022-4222-22-2-442-22-200000000000000000000000000000000000000000000000000000000000023−2300000000
χ1014-4-44-2442-4-4-4-2-44420-2-24-2-2000022-4222-22-2-442-22-2000000000000000000000000000000000000000000000000000000000000−232300000000
χ1028-88-88-4-4-84-44-8-44480-4-4222000044-2-2-2-44-442-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4448-84-44-8-40-42-42200004-24-2-2-442-2-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-484-8-4448-84-402-4-4220000-244-2-22-2-44-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-444-444-40222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i31+3i3−1+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-444-444-40222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i31−3i3−1−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-844484-4-4-80-4-4222000044-2-2-24-44-4-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-444-8-8-44-4840-42-42200004-24-2-24-4-224-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-844-4-88-4402-4-4220000-244-2-2-224-44-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44444-44-4-440222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i3−1−3i31−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44444-44-4-440222−1+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.