Finite Group Databasebeta

← Group #13157128

Character table — Group #13157128

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112444444444444444444444444444444444443636727272727211244444444444444444444444444444444444363672727272721124444444444444444444444444444444444436367272727272
order1222334466666666666666121212121212121212121212121212122444488366633121266666666666666121212121212121212121212121212126121212122424366633121266666666666666121212121212121212121212121212126121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1i−ii−i11111111111111111111111111111111111111-1-1-1i−ii−i11111111111111111111111111111111111111-1-1-1i−ii−i
χ411111111111111111111111111111111111111-1-1-1−ii−ii11111111111111111111111111111111111111-1-1-1−ii−ii11111111111111111111111111111111111111-1-1-1−ii−ii
χ5111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
χ6111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ7111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii
χ8111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i
χ9222-222002222-2-2-2-2-2-2-2-22200000000000000002-200000222-222002222-2-2-2-2-2-2-2-22200000000000000002-200000222-222002222-2-2-2-2-2-2-2-22200000000000000002-200000
χ10222-222002222-2-2-2-2-2-2-2-2220000000000000000-2200000222-222002222-2-2-2-2-2-2-2-2220000000000000000-2200000222-222002222-2-2-2-2-2-2-2-2220000000000000000-2200000
χ1144441-24411-2-21111-2-2-2-21-211111111-2-2-2-2-2-2-2-2000000044441-24411-2-21111-2-2-2-21-211111111-2-2-2-2-2-2-2-2000000044441-24411-2-21111-2-2-2-21-211111111-2-2-2-2-2-2-2-20000000
χ1244441-2-4-411-2-21111-2-2-2-21-2-1-1-1-1-1-1-1-122222222000000044441-2-4-411-2-21111-2-2-2-21-2-1-1-1-1-1-1-1-122222222000000044441-2-4-411-2-21111-2-2-2-21-2-1-1-1-1-1-1-1-1222222220000000
χ134444-2144-2-211-2-2-2-21111-21-2-2-2-2-2-2-2-21111111100000004444-2144-2-211-2-2-2-21111-21-2-2-2-2-2-2-2-21111111100000004444-2144-2-211-2-2-2-21111-21-2-2-2-2-2-2-2-2111111110000000
χ144444-21-4-4-2-211-2-2-2-21111-2122222222-1-1-1-1-1-1-1-100000004444-21-4-4-2-211-2-2-2-21111-2122222222-1-1-1-1-1-1-1-100000004444-21-4-4-2-211-2-2-2-21111-2122222222-1-1-1-1-1-1-1-10000000
χ15444-41-20011-2-2-1-1-1-122221-23333-3-3-3-3000000000000000444-41-20011-2-2-1-1-1-122221-23333-3-3-3-3000000000000000444-41-20011-2-2-1-1-1-122221-23333-3-3-3-3000000000000000
χ16444-41-20011-2-2-1-1-1-122221-2-3-3-3-33333000000000000000444-41-20011-2-2-1-1-1-122221-2-3-3-3-33333000000000000000444-41-20011-2-2-1-1-1-122221-2-3-3-3-33333000000000000000
χ17444-4-2100-2-2112222-1-1-1-1-21000000003333-3-3-3-30000000444-4-2100-2-2112222-1-1-1-1-21000000003333-3-3-3-30000000444-4-2100-2-2112222-1-1-1-1-21000000003333-3-3-3-30000000
χ18444-4-2100-2-2112222-1-1-1-1-2100000000-3-3-3-333330000000444-4-2100-2-2112222-1-1-1-1-2100000000-3-3-3-333330000000444-4-2100-2-2112222-1-1-1-1-2100000000-3-3-3-333330000000
χ1944-401-200-1-12233-3-300001-2−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i3000000044-401-200-1-12233-3-300001-2−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i3000000044-401-200-1-12233-3-300001-2−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i30000000
χ2044-401-200-1-12233-3-300001-2i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i3000000044-401-200-1-12233-3-300001-2i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i3000000044-401-200-1-12233-3-300001-2i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i30000000
χ2144-401-200-1-122-3-33300001-2−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i30000000000044-401-200-1-122-3-33300001-2−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i30000000000044-401-200-1-122-3-33300001-2−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i300000000000
χ2244-401-200-1-122-3-33300001-2i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i30000000000044-401-200-1-122-3-33300001-2i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i30000000000044-401-200-1-122-3-33300001-2i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i300000000000
χ2344-404400-4-4-4-400000000440000000000000000000000044-404400-4-4-4-400000000440000000000000000000000044-404400-4-4-4-4000000004400000000000000000000000
χ2444-40-210022-1-1000033-3-3-210000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i3000000044-40-210022-1-1000033-3-3-210000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i3000000044-40-210022-1-1000033-3-3-210000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i30000000
χ2544-40-210022-1-1000033-3-3-2100002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i3000000044-40-210022-1-1000033-3-3-2100002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i3000000044-40-210022-1-1000033-3-3-2100002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i30000000
χ2644-40-210022-1-10000-3-333-21−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3000000044-40-210022-1-10000-3-333-21−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3000000044-40-210022-1-10000-3-333-21−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i30000000
χ2744-40-210022-1-10000-3-333-212i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3000000044-40-210022-1-10000-3-333-212i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3000000044-40-210022-1-10000-3-333-212i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i30000000
χ284-4001-22i−2i3-300−i3i3−i3i300−2i32i3-12i−ii−i−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11−2ζ72ζ72ζ11−2ζ112ζ11−2ζ11−2ζ72ζ700000004-4001-22i−2i3-300−i3i3−i3i300−2i32i3-12i−ii−i−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11−2ζ72ζ72ζ11−2ζ112ζ11−2ζ11−2ζ72ζ700000004-4001-22i−2i3-300−i3i3−i3i300−2i32i3-12i−ii−i−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11−2ζ72ζ72ζ11−2ζ112ζ11−2ζ11−2ζ72ζ70000000
χ294-4001-22i−2i3-300i3−i3i3−i3002i3−2i3-12i−ii−i−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11−2ζ112ζ112ζ7−2ζ72ζ7−2ζ7−2ζ112ζ1100000004-4001-22i−2i3-300i3−i3i3−i3002i3−2i3-12i−ii−i−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11−2ζ112ζ112ζ7−2ζ72ζ7−2ζ7−2ζ112ζ1100000004-4001-22i−2i3-300i3−i3i3−i3002i3−2i3-12i−ii−i−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11−2ζ112ζ112ζ7−2ζ72ζ7−2ζ7−2ζ112ζ110000000
χ304-4001-22i−2i-3300−i3i3i3−i3−2i32i300-12ζ7+3ζ11−ζ7−3ζ113ζ7+ζ11−3ζ7−ζ11−iii−i−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7−2ζ112ζ1100000004-4001-22i−2i-3300−i3i3i3−i3−2i32i300-12ζ7+3ζ11−ζ7−3ζ113ζ7+ζ11−3ζ7−ζ11−iii−i−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7−2ζ112ζ1100000004-4001-22i−2i-3300−i3i3i3−i3−2i32i300-12ζ7+3ζ11−ζ7−3ζ113ζ7+ζ11−3ζ7−ζ11−iii−i−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7−2ζ112ζ110000000
χ314-4001-22i−2i-3300i3−i3−i3i32i3−2i300-123ζ7+ζ11−3ζ7−ζ11ζ7+3ζ11−ζ7−3ζ11−iii−i−2ζ112ζ112ζ7−2ζ72ζ11−2ζ11−2ζ72ζ700000004-4001-22i−2i-3300i3−i3−i3i32i3−2i300-123ζ7+ζ11−3ζ7−ζ11ζ7+3ζ11−ζ7−3ζ11−iii−i−2ζ112ζ112ζ7−2ζ72ζ11−2ζ11−2ζ72ζ700000004-4001-22i−2i-3300i3−i3−i3i32i3−2i300-123ζ7+ζ11−3ζ7−ζ11ζ7+3ζ11−ζ7−3ζ11−iii−i−2ζ112ζ112ζ7−2ζ72ζ11−2ζ11−2ζ72ζ70000000
χ324-4001-2−2i2i3-300−i3i3−i3i300−2i32i3-12−ii−ii3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ112ζ7−2ζ7−2ζ112ζ11−2ζ112ζ112ζ7−2ζ700000004-4001-2−2i2i3-300−i3i3−i3i300−2i32i3-12−ii−ii3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ112ζ7−2ζ7−2ζ112ζ11−2ζ112ζ112ζ7−2ζ700000004-4001-2−2i2i3-300−i3i3−i3i300−2i32i3-12−ii−ii3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ112ζ7−2ζ7−2ζ112ζ11−2ζ112ζ112ζ7−2ζ70000000
χ334-4001-2−2i2i3-300i3−i3i3−i3002i3−2i3-12−ii−iiζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ112ζ11−2ζ11−2ζ72ζ7−2ζ72ζ72ζ11−2ζ1100000004-4001-2−2i2i3-300i3−i3i3−i3002i3−2i3-12−ii−iiζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ112ζ11−2ζ11−2ζ72ζ7−2ζ72ζ72ζ11−2ζ1100000004-4001-2−2i2i3-300i3−i3i3−i3002i3−2i3-12−ii−iiζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ112ζ11−2ζ11−2ζ72ζ7−2ζ72ζ72ζ11−2ζ110000000
χ344-4001-2−2i2i-3300−i3i3i3−i3−2i32i300-12−ζ7−3ζ11ζ7+3ζ11−3ζ7−ζ113ζ7+ζ11i−i−ii2ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ11−2ζ1100000004-4001-2−2i2i-3300−i3i3i3−i3−2i32i300-12−ζ7−3ζ11ζ7+3ζ11−3ζ7−ζ113ζ7+ζ11i−i−ii2ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ11−2ζ1100000004-4001-2−2i2i-3300−i3i3i3−i3−2i32i300-12−ζ7−3ζ11ζ7+3ζ11−3ζ7−ζ113ζ7+ζ11i−i−ii2ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ11−2ζ110000000
χ354-4001-2−2i2i-3300i3−i3−i3i32i3−2i300-12−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11i−i−ii2ζ11−2ζ11−2ζ72ζ7−2ζ112ζ112ζ7−2ζ700000004-4001-2−2i2i-3300i3−i3−i3i32i3−2i300-12−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11i−i−ii2ζ11−2ζ11−2ζ72ζ7−2ζ112ζ112ζ7−2ζ700000004-4001-2−2i2i-3300i3−i3−i3i32i3−2i300-12−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11i−i−ii2ζ11−2ζ11−2ζ72ζ7−2ζ112ζ112ζ7−2ζ70000000
χ364-400442i−2i000000000000-4-4−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000004-400442i−2i000000000000-4-4−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000004-400442i−2i000000000000-4-4−2i2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000
χ374-40044−2i2i000000000000-4-42i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000004-40044−2i2i000000000000-4-42i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000004-40044−2i2i000000000000-4-42i−2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000
χ384-400-212i−2i003-300−2i32i3−i3i3i3−i32-1−2ζ112ζ11−2ζ72ζ72ζ11−2ζ11−2ζ72ζ7i−i−ii−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ1100000004-400-212i−2i003-300−2i32i3−i3i3i3−i32-1−2ζ112ζ11−2ζ72ζ72ζ11−2ζ11−2ζ72ζ7i−i−ii−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ1100000004-400-212i−2i003-300−2i32i3−i3i3i3−i32-1−2ζ112ζ11−2ζ72ζ72ζ11−2ζ11−2ζ72ζ7i−i−ii−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ110000000
χ394-400-212i−2i003-3002i3−2i3i3−i3−i3i32-1−2ζ72ζ7−2ζ112ζ112ζ7−2ζ7−2ζ112ζ11i−i−ii−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ1100000004-400-212i−2i003-3002i3−2i3i3−i3−i3i32-1−2ζ72ζ7−2ζ112ζ112ζ7−2ζ7−2ζ112ζ11i−i−ii−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ1100000004-400-212i−2i003-3002i3−2i3i3−i3−i3i32-1−2ζ72ζ7−2ζ112ζ112ζ7−2ζ7−2ζ112ζ11i−i−ii−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ110000000
χ404-400-212i−2i00-33−2i32i300i3−i3i3−i32-1−2ζ72ζ7−2ζ112ζ112ζ11−2ζ11−2ζ72ζ73ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ11−iii−i00000004-400-212i−2i00-33−2i32i300i3−i3i3−i32-1−2ζ72ζ7−2ζ112ζ112ζ11−2ζ11−2ζ72ζ73ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ11−iii−i00000004-400-212i−2i00-33−2i32i300i3−i3i3−i32-1−2ζ72ζ7−2ζ112ζ112ζ11−2ζ11−2ζ72ζ73ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ11−iii−i0000000
χ414-400-212i−2i00-332i3−2i300−i3i3−i3i32-1−2ζ112ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ11ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ11−iii−i00000004-400-212i−2i00-332i3−2i300−i3i3−i3i32-1−2ζ112ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ11ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ11−iii−i00000004-400-212i−2i00-332i3−2i300−i3i3−i3i32-1−2ζ112ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ11ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ11−iii−i0000000
χ424-400-21−2i2i003-300−2i32i3−i3i3i3−i32-12ζ11−2ζ112ζ7−2ζ7−2ζ112ζ112ζ7−2ζ7−iii−iζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ1100000004-400-21−2i2i003-300−2i32i3−i3i3i3−i32-12ζ11−2ζ112ζ7−2ζ7−2ζ112ζ112ζ7−2ζ7−iii−iζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ1100000004-400-21−2i2i003-300−2i32i3−i3i3i3−i32-12ζ11−2ζ112ζ7−2ζ7−2ζ112ζ112ζ7−2ζ7−iii−iζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ110000000
χ434-400-21−2i2i003-3002i3−2i3i3−i3−i3i32-12ζ7−2ζ72ζ11−2ζ11−2ζ72ζ72ζ11−2ζ11−iii−i3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ1100000004-400-21−2i2i003-3002i3−2i3i3−i3−i3i32-12ζ7−2ζ72ζ11−2ζ11−2ζ72ζ72ζ11−2ζ11−iii−i3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ1100000004-400-21−2i2i003-3002i3−2i3i3−i3−i3i32-12ζ7−2ζ72ζ11−2ζ11−2ζ72ζ72ζ11−2ζ11−iii−i3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ110000000
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χ1244-4001-2−2i2i-3300−i3i3i3−i3−2i32i300-12−ζ7−3ζ11ζ7+3ζ11−3ζ7−ζ113ζ7+ζ11i−i−ii2ζ7−2ζ7−2ζ112ζ11−2ζ72ζ72ζ11−2ζ110000000−2−2i32+2i300−1−i321+i3−2ζ112ζ113+3i32−3−3i3200−3+i323−i323−i32−3+i32−3+i33−i3001+i32−1−i3−2ζ7+ζ112ζ7−ζ112ζ7+3ζ11−2ζ7−3ζ11ζ11−ζ11−ζ11ζ112i−2i−2ζ72ζ7−2i2i2ζ7−2ζ70000000−2+2i32−2i300−1+i321−i3−2ζ72ζ73−3i32−3+3i32003+i32−3−i32−3−i323+i323+i3−3−i3001−i32−1+i33ζ7+2ζ11−3ζ7−2ζ11ζ7−2ζ11−ζ7+2ζ11ζ7−ζ7−ζ7ζ72ζ11−2ζ11−2i2i−2ζ112ζ112i−2i0000000
χ1254-4001-2−2i2i-3300i3−i3−i3i32i3−2i300-12−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11i−i−ii2ζ11−2ζ11−2ζ72ζ7−2ζ112ζ112ζ7−2ζ70000000−2−2i32+2i300−1−i321+i3−2ζ112ζ113+3i32−3−3i32003−i32−3+i32−3+i323−i323−i3−3+i3001+i32−1−i32ζ7+3ζ11−2ζ7−3ζ11−2ζ7+ζ112ζ7−ζ11ζ11−ζ11−ζ11ζ112ζ7−2ζ7−2i2i−2ζ72ζ72i−2i0000000−2+2i32−2i300−1+i321−i3−2ζ72ζ73−3i32−3+3i3200−3−i323+i323+i32−3−i32−3−i33+i3001−i32−1+i3ζ7−2ζ11−ζ7+2ζ113ζ7+2ζ11−3ζ7−2ζ11ζ7−ζ7−ζ7ζ72i−2i−2ζ112ζ11−2i2i2ζ11−2ζ110000000
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χ1304-400-212i−2i00-33−2i32i300i3−i3i3−i32-1−2ζ72ζ7−2ζ112ζ112ζ11−2ζ11−2ζ72ζ73ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ11−iii−i0000000−2−2i32+2i3001+i3−1−i322ζ11−2ζ11003+3i32−3−3i32−3+i33−i3003−i32−3+i323−i32−3+i32−1−i31+i32−2i2i−2ζ72ζ72ζ7−2ζ7−2i2i−2ζ7−3ζ112ζ7+3ζ11−2ζ7+ζ112ζ7−ζ11−ζ11ζ11ζ11−ζ110000000−2+2i32−2i3001−i3−1+i322ζ7−2ζ7003−3i32−3+3i323+i3−3−i300−3−i323+i32−3−i323+i32−1+i31−i32−2ζ112ζ11−2i2i2i−2i−2ζ112ζ11−ζ7+2ζ11ζ7−2ζ113ζ7+2ζ11−3ζ7−2ζ11−ζ7ζ7ζ7−ζ70000000
χ1314-400-212i−2i00-332i3−2i300−i3i3−i3i32-1−2ζ112ζ11−2ζ72ζ72ζ7−2ζ7−2ζ112ζ11ζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ11−iii−i0000000−2−2i32+2i3001+i3−1−i322ζ11−2ζ11003+3i32−3−3i323−i3−3+i300−3+i323−i32−3+i323−i32−1−i31+i32−2ζ72ζ7−2i2i2i−2i−2ζ72ζ72ζ7−ζ11−2ζ7+ζ112ζ7+3ζ11−2ζ7−3ζ11−ζ11ζ11ζ11−ζ110000000−2+2i32−2i3001−i3−1+i322ζ7−2ζ7003−3i32−3+3i32−3−i33+i3003+i32−3−i323+i32−3−i32−1+i31−i32−2i2i−2ζ112ζ112ζ11−2ζ11−2i2i−3ζ7−2ζ113ζ7+2ζ11ζ7−2ζ11−ζ7+2ζ11−ζ7ζ7ζ7−ζ70000000
χ1324-400-21−2i2i003-300−2i32i3−i3i3i3−i32-12ζ11−2ζ112ζ7−2ζ7−2ζ112ζ112ζ7−2ζ7−iii−iζ7+3ζ11−ζ7−3ζ11−3ζ7−ζ113ζ7+ζ110000000−2−2i32+2i3001+i3−1−i32−2ζ112ζ1100−3−3i323+3i3200−3+i33−i3−3+i323−i323−i32−3+i32−1−i31+i322ζ7−2ζ72i−2i−2ζ72ζ72i−2i−ζ11ζ11ζ11−ζ112ζ7−ζ11−2ζ7+ζ112ζ7+3ζ11−2ζ7−3ζ110000000−2+2i32−2i3001−i3−1+i32−2ζ72ζ700−3+3i323−3i32003+i3−3−i33+i32−3−i32−3−i323+i32−1+i31−i322i−2i2ζ11−2ζ11−2i2i2ζ11−2ζ11−ζ7ζ7ζ7−ζ7−3ζ7−2ζ113ζ7+2ζ11ζ7−2ζ11−ζ7+2ζ110000000
χ1334-400-21−2i2i003-3002i3−2i3i3−i3−i3i32-12ζ7−2ζ72ζ11−2ζ11−2ζ72ζ72ζ11−2ζ11−iii−i3ζ7+ζ11−3ζ7−ζ11−ζ7−3ζ11ζ7+3ζ110000000−2−2i32+2i3001+i3−1−i32−2ζ112ζ1100−3−3i323+3i32003−i3−3+i33−i32−3+i32−3+i323−i32−1−i31+i322i−2i2ζ7−2ζ7−2i2i2ζ7−2ζ7−ζ11ζ11ζ11−ζ11−2ζ7−3ζ112ζ7+3ζ11−2ζ7+ζ112ζ7−ζ110000000−2+2i32−2i3001−i3−1+i32−2ζ72ζ700−3+3i323−3i3200−3−i33+i3−3−i323+i323+i32−3−i32−1+i31−i322ζ11−2ζ112i−2i−2ζ112ζ112i−2i−ζ7ζ7ζ7−ζ7−ζ7+2ζ11ζ7−2ζ113ζ7+2ζ11−3ζ7−2ζ110000000
χ1344-400-21−2i2i00-33−2i32i300i3−i3i3−i32-12ζ7−2ζ72ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−3ζ7−ζ113ζ7+ζ11ζ7+3ζ11−ζ7−3ζ11i−i−ii0000000−2−2i32+2i3001+i3−1−i32−2ζ112ζ11003+3i32−3−3i32−3+i33−i3003−i32−3+i323−i32−3+i32−1−i31+i322i−2i2ζ7−2ζ7−2ζ72ζ72i−2i2ζ7+3ζ11−2ζ7−3ζ112ζ7−ζ11−2ζ7+ζ11ζ11−ζ11−ζ11ζ110000000−2+2i32−2i3001−i3−1+i32−2ζ72ζ7003−3i32−3+3i323+i3−3−i300−3−i323+i32−3−i323+i32−1+i31−i322ζ11−2ζ112i−2i−2i2i2ζ11−2ζ11ζ7−2ζ11−ζ7+2ζ11−3ζ7−2ζ113ζ7+2ζ11ζ7−ζ7−ζ7ζ70000000
χ1354-400-21−2i2i00-332i3−2i300−i3i3−i3i32-12ζ11−2ζ112ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−ζ7−3ζ11ζ7+3ζ113ζ7+ζ11−3ζ7−ζ11i−i−ii0000000−2−2i32+2i3001+i3−1−i32−2ζ112ζ11003+3i32−3−3i323−i3−3+i300−3+i323−i32−3+i323−i32−1−i31+i322ζ7−2ζ72i−2i−2i2i2ζ7−2ζ7−2ζ7+ζ112ζ7−ζ11−2ζ7−3ζ112ζ7+3ζ11ζ11−ζ11−ζ11ζ110000000−2+2i32−2i3001−i3−1+i32−2ζ72ζ7003−3i32−3+3i32−3−i33+i3003+i32−3−i323+i32−3−i32−1+i31−i322i−2i2ζ11−2ζ11−2ζ112ζ112i−2i3ζ7+2ζ11−3ζ7−2ζ11−ζ7+2ζ11ζ7−2ζ11ζ7−ζ7−ζ7ζ70000000

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