Finite Group Databasebeta

← Group #13180913

Character table — Group #13180913

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222244666666183366661212181818181818544488881616242424242424724488881616242424242424721122224466666618336666121218181818181854448888161624242424242472448888161624242424242472
order12336636246612122226666662466121223633663661266121263633663661266121262266666624661212222666666246612122666666666126612126666666666126612126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000
χ6222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000
χ722-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10
χ822-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000
χ112-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000
χ122-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30
χ132-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111−1+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−i32111111111111111111111111111111−1+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
χ17111111111-111-1-1-1111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32111111111-111-1-1-1111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32
χ1811111111-11-1-111-111111111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i3211111111-11-1-111-111111111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i3211111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
χ20222-1-12-1-120-1-1000222-1-12-1-120-1-1000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000222-1-12-1-120-1-1000222-1-12-1-120-1-1000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000
χ21222-1-12-1-1-2011000222-1-12-1-1-2011000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000222-1-12-1-1-2011000222-1-12-1-1-2011000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000
χ2222-122-1-1-10200-1-1022-122-1-1-10200-1-10−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i32022-122-1-1-10200-1-1022-122-1-1-10200-1-10−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320
χ2322-122-1-1-10-20011022-122-1-1-10-200110−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i32022-122-1-1-10-20011022-122-1-1-10-200110−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320
χ242-222-2-22-200000002-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i300000002-222-2-22-200000002-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000
χ252-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i320002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000
χ262-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i320002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000
χ272-2-12-21-1100003−302-2-12-21-1100003−30−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ1102-2-12-21-1100003−302-2-12-21-1100003−30−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110
χ282-2-12-21-110000−3302-2-12-21-110000−330−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ1102-2-12-21-110000−3302-2-12-21-110000−330−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110
χ2944-2-2-2-211000000044-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i32000000044-2-2-2-211000000044-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000
χ304-4-2-2221-100000004-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i3200000004-4-2-2221-100000004-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000
χ31111111111111111111111111111111−1−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+i32111111111111111111111111111111−1−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
χ32111111111-111-1-1-1111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32111111111-111-1-1-1111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32
χ3311111111-11-1-111-111111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i3211111111-11-1-111-111111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ3411111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i3211111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32
χ35222-1-12-1-120-1-1000222-1-12-1-120-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000222-1-12-1-120-1-1000222-1-12-1-120-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000
χ36222-1-12-1-1-2011000222-1-12-1-1-2011000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000222-1-12-1-1-2011000222-1-12-1-1-2011000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000
χ3722-122-1-1-10200-1-1022-122-1-1-10200-1-10−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i32022-122-1-1-10200-1-1022-122-1-1-10200-1-10−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320
χ3822-122-1-1-10-20011022-122-1-1-10-200110−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i32022-122-1-1-10-20011022-122-1-1-10-200110−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320
χ392-222-2-22-200000002-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i300000002-222-2-22-200000002-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000
χ402-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i320002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000
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χ422-2-12-21-1100003−302-2-12-21-1100003−30−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ1102-2-12-21-1100003−302-2-12-21-1100003−30−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110
χ432-2-12-21-110000−3302-2-12-21-110000−330−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ1102-2-12-21-110000−3302-2-12-21-110000−330−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110
χ4444-2-2-2-211000000044-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i32000000044-2-2-2-211000000044-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000
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χ6311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11
χ6411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ65222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000-2-2-211-211-2011000-2-2-211-211-2011000
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χ6722-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-200110-2-21-2-21110-200110-2-21-2-21110-200110
χ6822-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-10-2-21-2-21110200-1-10-2-21-2-21110200-1-10
χ692-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000-22-2-222-220000000-22-2-222-220000000
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χ712-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000
χ722-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−330-221-22-11-10000−330-221-22-11-10000−330
χ732-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−30-221-22-11-100003−30-221-22-11-100003−30
χ7444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-10000000
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χ76111111111111111111111111111111−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ77111111111-111-1-1-1111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-11111−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32
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χ81222-1-12-1-1-2011000222-1-12-1-1-2011000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000-2-2-211-21120-1-1000-2-2-211-21120-1-10001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i301−i321−i320001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i301+i321+i32000
χ8222-122-1-1-10200-1-1022-122-1-1-10200-1-10−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320-2-21-2-21110-200110-2-21-2-21110-2001101−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3201−i300−1+i32−1+i3201+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3201+i300−1−i32−1−i320
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χ862-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000-22-21-121-100−i3i3000-22-21-121-100−i3i30001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i32003+i32−3−i320001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i3200−3+i323−i32000
χ872-2-12-21-1100003−302-2-12-21-1100003−30−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110-221-22-11-10000−330-221-22-11-10000−3301−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ1101+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ110
χ882-2-12-21-110000−3302-2-12-21-110000−330−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110-221-22-11-100003−30-221-22-11-100003−301−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ1101+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ110
χ8944-2-2-2-211000000044-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000-4-42222-1-10000000-4-42222-1-100000002−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i321−i3200000002+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i321+i320000000
χ904-4-2-2221-100000004-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000-4422-2-2-110000000-4422-2-2-1100000002−2i3−2+2i3−1+i3−1+i31−i31−i31−i32−1+i3200000002+2i3−2−2i3−1−i3−1−i31+i31+i31+i32−1−i320000000
χ91111111111111111111111111111111−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ92111111111-111-1-1-1111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-11111+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ9311111111-11-1-111-111111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-111+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ9411111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-11+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ95222-1-12-1-120-1-1000222-1-12-1-120-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000-2-2-211-211-2011000-2-2-211-211-20110001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i30−1−i32−1−i320001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i30−1+i32−1+i32000
χ96222-1-12-1-1-2011000222-1-12-1-1-2011000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000-2-2-211-21120-1-1000-2-2-211-21120-1-10001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i301+i321+i320001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i301−i321−i32000
χ9722-122-1-1-10200-1-1022-122-1-1-10200-1-10−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320-2-21-2-21110-200110-2-21-2-21110-2001101+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3201+i300−1−i32−1−i3201−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3201−i300−1+i32−1+i320
χ9822-122-1-1-10-20011022-122-1-1-10-200110−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320-2-21-2-21110200-1-10-2-21-2-21110200-1-101+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i320−1−i3001+i321+i3201−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i320−1+i3001−i321−i320
χ992-222-2-22-200000002-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000-22-2-222-220000000-22-2-222-2200000001+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300000001−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i30000000
χ1002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000-22-21-121-100i3−i3000-22-21-121-100i3−i30001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i32003−i32−3+i320001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i3200−3−i323+i32000
χ1012-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000-22-21-121-100−i3i3000-22-21-121-100−i3i30001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i3200−3+i323−i320001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i32003+i32−3−i32000
χ1022-2-12-21-1100003−302-2-12-21-1100003−30−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110-221-22-11-10000−330-221-22-11-10000−3301+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ1101−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ110
χ1032-2-12-21-110000−3302-2-12-21-110000−330−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110-221-22-11-100003−30-221-22-11-100003−301+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ1101−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ110
χ10444-2-2-2-211000000044-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000-4-42222-1-10000000-4-42222-1-100000002+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i321+i3200000002−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i321−i320000000
χ1054-4-2-2221-100000004-4-2-2221-10000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000-4422-2-2-110000000-4422-2-2-1100000002+2i3−2−2i3−1−i3−1−i31+i31+i31+i32−1−i3200000002−2i3−2+2i3−1+i3−1+i31−i31−i31−i32−1+i320000000
χ106333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3111111111111111000000000000000000000000000000
χ107333333333-333-3-3-3-1-1-1-1-1-1-1-1-11-1-1111000000000000000000000000000000-3-3-3-3-3-3-3-3-33-3-3333111111111-111-1-1-1000000000000000000000000000000
χ10833333333-33-3-333-3-1-1-1-1-1-1-1-11-111-1-11000000000000000000000000000000-3-3-3-3-3-3-3-33-333-3-3311111111-11-1-111-1000000000000000000000000000000
χ10933333333-3-3-3-3-3-33-1-1-1-1-1-1-1-1111111-1000000000000000000000000000000-3-3-3-3-3-3-3-3333333-311111111-1-1-1-1-1-11000000000000000000000000000000
χ110666-3-36-3-360-3-3000-2-2-211-211-2011000000000000000000000000000000000-6-6-633-633-6033000222-1-12-1-120-1-1000000000000000000000000000000000
χ111666-3-36-3-3-6033000-2-2-211-21120-1-1000000000000000000000000000000000-6-6-633-63360-3-3000222-1-12-1-1-2011000000000000000000000000000000000
χ11266-366-3-3-30600-3-30-2-21-2-21110-200110000000000000000000000000000000-6-63-6-63330-60033022-122-1-1-10200-1-10000000000000000000000000000000
χ11366-366-3-3-30-600330-2-21-2-21110200-1-10000000000000000000000000000000-6-63-6-63330600-3-3022-122-1-1-10-200110000000000000000000000000000000
χ1146-666-6-66-60000000-22-2-222-220000000000000000000000000000000000000-66-6-666-6600000002-222-2-22-20000000000000000000000000000000000000
χ1156-66-33-6-3300−3i33i3000-22-21-121-100i3−i3000000000000000000000000000000000-66-63-363-3003i3−3i30002-22-11-2-1100−i3i3000000000000000000000000000000000
χ1166-66-33-6-33003i3−3i3000-22-21-121-100−i3i3000000000000000000000000000000000-66-63-363-300−3i33i30002-22-11-2-1100i3−i3000000000000000000000000000000000
χ1176-6-36-63-33000033−330-221-22-11-10000−330000000000000000000000000000000-663-66-33-30000−333302-2-12-21-1100003−30000000000000000000000000000000
χ1186-6-36-63-330000−33330-221-22-11-100003−30000000000000000000000000000000-663-66-33-3000033−3302-2-12-21-110000−330000000000000000000000000000000
χ1191212-6-6-6-6330000000-4-42222-1-10000000000000000000000000000000000000-12-126666-3-3000000044-2-2-2-2110000000000000000000000000000000000000
χ12012-12-6-6663-30000000-4422-2-2-110000000000000000000000000000000000000-121266-6-6-3300000004-4-2-2221-10000000000000000000000000000000000000

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