Finite Group Databasebeta

← Group #13085919

Character table — Group #13085919

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222244666666181122224466666618224444881212121212123622444488121212121212362244448812121212121236224444881212121212123655101010102020303030303030905510101010202030303030303090
order1233663624661212222666666246612122510151530301530102030306060105101515303015301020303060601010103030303030301020303060601010103030303030301020303060601044121212121212441212121244412121212121244121212124
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
χ16111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ1811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ20222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000
χ21222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-1000
χ2222-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-200110
χ2322-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-10
χ242-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000
χ252-22-11-2-1100−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−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i3000
χ262-22-11-2-1100i3−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−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000
χ272-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−330
χ282-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−30
χ2944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000
χ304-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000
χ31111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ32111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111iiiiiiiii−iii−i−i−i−i−i−i−i−i−i−i−i−ii−i−iiii
χ3311111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11iiiiiiii−ii−i−iii−i−i−i−i−i−i−i−i−ii−iii−i−ii
χ3411111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1iiiiiiii−i−i−i−i−i−ii−i−i−i−i−i−i−i−iiiiiii−i
χ35222-1-12-1-120-1-1000-2-2-211-211-2011000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-20110002i2i2i−i−i2i−i−i2i0−i−i000−2i−2i−2iii−2iii−2i0ii000
χ36222-1-12-1-1-2011000-2-2-211-21120-1-1000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-10002i2i2i−i−i2i−i−i−2i0ii000−2i−2i−2iii−2iii2i0−i−i000
χ3722-122-1-1-10200-1-10-2-21-2-21110-20011022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-2001102i2i−i2i2i−i−i−i02i00−i−i0−2i−2ii−2i−2iiii0−2i00ii0
χ3822-122-1-1-10-200110-2-21-2-21110200-1-1022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-102i2i−i2i2i−i−i−i0−2i00ii0−2i−2ii−2i−2iiii02i00−i−i0
χ392-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-2200000002i−2i2i2i−2i−2i2i−2i0000000−2i2i−2i−2i2i2i−2i2i0000000
χ402-22-11-2-1100−i3i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i30002i−2i2i−ii−2i−ii003−3000−2i2i−2ii−i2ii−i00−33000
χ412-22-11-2-1100i3−i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i30002i−2i2i−ii−2i−ii00−33000−2i2i−2ii−i2ii−i003−3000
χ422-2-12-21-1100003−30-221-22-11-10000−3302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−3302i−2i−i2i−2ii−ii0000i3−i30−2i2ii−2i2i−ii−i0000−i3i30
χ432-2-12-21-110000−330-221-22-11-100003−302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−302i−2i−i2i−2ii−ii0000−i3i30−2i2ii−2i2i−ii−i0000i3−i30
χ4444-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-100000004i4i−2i−2i−2i−2iii0000000−4i−4i2i2i2i2i−i−i0000000
χ454-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-1100000004i−4i−2i−2i2i2ii−i0000000−4i4i2i2i−2i−2i−ii0000000
χ46111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii
χ47111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111−i−i−i−i−i−i−i−i−ii−i−iiiiiiiiiiiii−iii−i−i−i
χ4811111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11−i−i−i−i−i−i−i−ii−iii−i−iiiiiiiiii−ii−i−iii−i
χ4911111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1−i−i−i−i−i−i−i−iiiiiii−iiiiiiiii−i−i−i−i−i−ii
χ50222-1-12-1-120-1-1000-2-2-211-211-2011000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000−2i−2i−2iii−2iii−2i0ii0002i2i2i−i−i2i−i−i2i0−i−i000
χ51222-1-12-1-1-2011000-2-2-211-21120-1-1000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-1000−2i−2i−2iii−2iii2i0−i−i0002i2i2i−i−i2i−i−i−2i0ii000
χ5222-122-1-1-10200-1-10-2-21-2-21110-20011022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-200110−2i−2ii−2i−2iiii0−2i00ii02i2i−i2i2i−i−i−i02i00−i−i0
χ5322-122-1-1-10-200110-2-21-2-21110200-1-1022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-10−2i−2ii−2i−2iiii02i00−i−i02i2i−i2i2i−i−i−i0−2i00ii0
χ542-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000−2i2i−2i−2i2i2i−2i2i00000002i−2i2i2i−2i−2i2i−2i0000000
χ552-22-11-2-1100−i3i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i3000−2i2i−2ii−i2ii−i00−330002i−2i2i−ii−2i−ii003−3000
χ562-22-11-2-1100i3−i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000−2i2i−2ii−i2ii−i003−30002i−2i2i−ii−2i−ii00−33000
χ572-2-12-21-1100003−30-221-22-11-10000−3302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−330−2i2ii−2i2i−ii−i0000−i3i302i−2i−i2i−2ii−ii0000i3−i30
χ582-2-12-21-110000−330-221-22-11-100003−302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−30−2i2ii−2i2i−ii−i0000i3−i302i−2i−i2i−2ii−ii0000−i3i30
χ5944-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000−4i−4i2i2i2i2i−i−i00000004i4i−2i−2i−2i−2iii0000000
χ604-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000−4i4i2i2i−2i−2i−ii00000004i−4i−2i−2i2i2ii−i0000000
χ61222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ62222222222-222-2-2-2222222222-222-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−521+521+521+52000000000000000000000000000000
χ6322222222-22-2-222-222222222-22-2-222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52000000000000000000000000000000
χ6422222222-2-2-2-2-2-2222222222-2-2-2-2-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52000000000000000000000000000000
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χ106222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52000000000000000000000000000000
χ107222222222-222-2-2-2-2-2-2-2-2-2-2-2-22-2-2222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+52−1+521−521−521−521+521+521+521+521+521+521+521+521+52−1−521+521+52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−52−1+521−521−52−1+52−1+52−1+52000000000000000000000000000000
χ10822222222-22-2-222-2-2-2-2-2-2-2-2-22-222-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−521+521+521+521+521+521+521+521+52−1−521+52−1−52−1−521+521+52−1−521−521−521−521−521−521−521−521−52−1+521−52−1+52−1+521−521−52−1+52000000000000000000000000000000
χ10922222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−52000000000000000000000000000000
χ110444-2-24-2-240-2-2000-4-4-422-422-4022000−1−5−1−5−1−51+521+52−1−51+521+52−1−501+521+52000−1+5−1+5−1+51−521−52−1+51−521−52−1+501−521−520001+51+51+5−1−52−1−521+5−1−52−1−521+50−1−52−1−520001−51−51−5−1+52−1+521−5−1+52−1+521−50−1+52−1+52000000000000000000000000000000000
χ111444-2-24-2-2-4022000-4-4-422-42240-2-2000−1−5−1−5−1−51+521+52−1−51+521+521+50−1−52−1−52000−1+5−1+5−1+51−521−52−1+51−521−521−50−1+52−1+520001+51+51+5−1−52−1−521+5−1−52−1−52−1−501+521+520001−51−51−5−1+52−1+521−5−1+52−1+52−1+501−521−52000000000000000000000000000000000
χ11244-244-2-2-20400-2-20-4-42-4-42220-400220−1−5−1−51+52−1−5−1−51+521+521+520−1−5001+521+520−1+5−1+51−52−1+5−1+51−521−521−520−1+5001−521−5201+51+5−1−521+51+5−1−52−1−52−1−5201+500−1−52−1−5201−51−5−1+521−51−5−1+52−1+52−1+5201−500−1+52−1+520000000000000000000000000000000
χ11344-244-2-2-20-400220-4-42-4-42220400-2-20−1−5−1−51+52−1−5−1−51+521+521+5201+500−1−52−1−520−1+5−1+51−52−1+5−1+51−521−521−5201−500−1+52−1+5201+51+5−1−521+51+5−1−52−1−52−1−520−1−5001+521+5201−51−5−1+521−51−5−1+52−1+52−1+520−1+5001−521−520000000000000000000000000000000
χ1144-444-4-44-40000000-44-4-444-440000000−1−51+5−1−5−1−51+51+5−1−51+50000000−1+51−5−1+5−1+51−51−5−1+51−500000001+5−1−51+51+5−1−5−1−51+5−1−500000001−5−1+51−51−5−1+5−1+51−5−1+50000000000000000000000000000000000000
χ1154-44-22-4-2200−2i32i3000-44-42-242-2002i3−2i3000−1−51+5−1−51+52−1−521+51+52−1−5200ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000−1+51−5−1+51−52−1+521−51−52−1+5200ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580001+5−1−51+5−1−521+52−1−5−1−521+5200−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460001−5−1+51−5−1+521−52−1+5−1+521−5200−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000
χ1164-44-22-4-22002i3−2i3000-44-42-242-200−2i32i3000−1−51+5−1−51+52−1−521+51+52−1−5200−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000−1+51−5−1+51−52−1+521−51−52−1+5200−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580001+5−1−51+5−1−521+52−1−5−1−521+5200ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460001−5−1+51−5−1+521−52−1+5−1+521−5200ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000
χ1174-4-24-42-22000023−230-442-44-22-20000−23230−1−51+51+52−1−51+5−1−521+52−1−520000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590−1+51−51−52−1+51−5−1+521−52−1+520000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4701+5−1−5−1−521+5−1−51+52−1−521+520000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5901−5−1+5−1+521−5−1+51−52−1+521−520000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000
χ1184-4-24-42-220000−23230-442-44-22-2000023−230−1−51+51+52−1−51+5−1−521+52−1−520000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590−1+51−51−52−1+51−5−1+521−52−1+520000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4701+5−1−5−1−521+5−1−51+52−1−521+520000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5901−5−1+5−1+521−5−1+51−52−1+521−520000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000
χ11988-4-4-4-4220000000-8-84444-2-20000000−2−25−2−251+51+51+51+5−1−52−1−520000000−2+25−2+251−51−51−51−5−1+52−1+5200000002+252+25−1−5−1−5−1−5−1−51+521+5200000002−252−25−1+5−1+5−1+5−1+51−521−520000000000000000000000000000000000000
χ1208-8-4-4442-20000000-8844-4-4-220000000−2−252+251+51+5−1−5−1−5−1−521+520000000−2+252−251−51−5−1+5−1+5−1+521−5200000002+25−2−25−1−5−1−51+51+51+52−1−5200000002−25−2+25−1+5−1+51−51−51−52−1+520000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.