Finite Group Databasebeta

← Group #13088992

Character table — Group #13088992

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222244666666182244448812121212121236224444881212121212123655101010102020303030303030901122224466666618224444881212121212123622444488121212121212365510101010202030303030303090
order123366362466121225101515303015301020303060601051015153030153010203030606010226666662466121222266666624661212210103030303030301020303060601010103030303030301020303060601022666666246612122
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
χ16111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ1811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1
χ20222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000
χ21222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000
χ2222-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-20011022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110
χ2322-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-1022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10
χ242-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000
χ252-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000
χ262-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000
χ272-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−3302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330
χ282-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30
χ2944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000
χ304-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000
χ31222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000
χ32222222222-222-2-2-2−1+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+52000000000000000222222222-222-2-2-2−1+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+52000000000000000
χ3322222222-22-2-222-2−1+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+5200000000000000022222222-22-2-222-2−1+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+52000000000000000
χ3422222222-2-2-2-2-2-22−1+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+52−1−5200000000000000022222222-2-2-2-2-2-22−1+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+52−1−52000000000000000
χ35444-2-24-2-240-2-2000−1+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+52000000000000000000444-2-24-2-240-2-2000−1+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+52000000000000000000
χ36444-2-24-2-2-4022000−1+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+50−1−52−1−52000000000000000000444-2-24-2-2-4022000−1+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+50−1−52−1−52000000000000000000
χ3744-244-2-2-20400-2-20−1+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+52000000000000000044-244-2-2-20400-2-20−1+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+520000000000000000
χ3844-244-2-2-20-400220−1+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+500−1−52−1−52000000000000000044-244-2-2-20-400220−1+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+500−1−52−1−520000000000000000
χ394-444-4-44-40000000−1+51−5−1+5−1+51−51−5−1+51−50000000−1−51+5−1−5−1−51+51+5−1−51+500000000000000000000004-444-4-44-40000000−1+51−5−1+5−1+51−51−5−1+51−50000000−1−51+5−1−5−1−51+51+5−1−51+50000000000000000000000
χ404-44-22-4-2200−2i32i3000−1+51−5−1+51−52−1+521−51−52−1+5200ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000−1−51+5−1−51+52−1−521+51+52−1−5200ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000004-44-22-4-2200−2i32i3000−1+51−5−1+51−52−1+521−51−52−1+5200ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000−1−51+5−1−51+52−1−521+51+52−1−5200ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000
χ414-44-22-4-22002i3−2i3000−1+51−5−1+51−52−1+521−51−52−1+5200−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000−1−51+5−1−51+52−1−521+51+52−1−5200−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000004-44-22-4-22002i3−2i3000−1+51−5−1+51−52−1+521−51−52−1+5200−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000−1−51+5−1−51+52−1−521+51+52−1−5200−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000
χ424-4-24-42-22000023−230−1+51−51−52−1+51−5−1+521−52−1+520000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470−1−51+51+52−1−51+5−1−521+52−1−520000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000004-4-24-42-22000023−230−1+51−51−52−1+51−5−1+521−52−1+520000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470−1−51+51+52−1−51+5−1−521+52−1−520000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000000000000000
χ434-4-24-42-220000−23230−1+51−51−52−1+51−5−1+521−52−1+520000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470−1−51+51+52−1−51+5−1−521+52−1−520000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000004-4-24-42-220000−23230−1+51−51−52−1+51−5−1+521−52−1+520000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470−1−51+51+52−1−51+5−1−521+52−1−520000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000000000000000
χ4488-4-4-4-4220000000−2+25−2+251−51−51−51−5−1+52−1+520000000−2−25−2−251+51+51+51+5−1−52−1−52000000000000000000000088-4-4-4-4220000000−2+25−2+251−51−51−51−5−1+52−1+520000000−2−25−2−251+51+51+51+5−1−52−1−520000000000000000000000
χ458-8-4-4442-20000000−2+252−251−51−5−1+5−1+5−1+521−520000000−2−252+251+51+5−1−5−1−5−1−521+5200000000000000000000008-8-4-4442-20000000−2+252−251−51−5−1+5−1+5−1+521−520000000−2−252+251+51+5−1−5−1−5−1−521+520000000000000000000000
χ46222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52000000000000000222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52000000000000000
χ47222222222-222-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−52000000000000000222222222-222-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−52000000000000000
χ4822222222-22-2-222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−5200000000000000022222222-22-2-222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−52000000000000000
χ4922222222-2-2-2-2-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+5200000000000000022222222-2-2-2-2-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52000000000000000
χ50444-2-24-2-240-2-2000−1−5−1−5−1−51+521+52−1−51+521+52−1−501+521+52000−1+5−1+5−1+51−521−52−1+51−521−52−1+501−521−52000000000000000000444-2-24-2-240-2-2000−1−5−1−5−1−51+521+52−1−51+521+52−1−501+521+52000−1+5−1+5−1+51−521−52−1+51−521−52−1+501−521−52000000000000000000
χ51444-2-24-2-2-4022000−1−5−1−5−1−51+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+52000000000000000000444-2-24-2-2-4022000−1−5−1−5−1−51+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+52000000000000000000
χ5244-244-2-2-20400-2-20−1−5−1−51+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+5001−521−52000000000000000044-244-2-2-20400-2-20−1−5−1−51+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+5001−521−520000000000000000
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χ10822222222-22-2-222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−52000000000000000-2-2-2-2-2-2-2-22-222-2-221+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+52000000000000000
χ10922222222-2-2-2-2-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52000000000000000-2-2-2-2-2-2-2-2222222-21+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+521−52000000000000000
χ110444-2-24-2-240-2-2000−1−5−1−5−1−51+521+52−1−51+521+52−1−501+521+52000−1+5−1+5−1+51−521−52−1+51−521−52−1+501−521−52000000000000000000-4-4-422-422-40220001+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+52000000000000000000
χ111444-2-24-2-2-4022000−1−5−1−5−1−51+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+52000000000000000000-4-4-422-42240-2-20001+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+501−521−52000000000000000000
χ11244-244-2-2-20400-2-20−1−5−1−51+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+5001−521−520000000000000000-4-42-4-42220-4002201+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+520000000000000000
χ11344-244-2-2-20-400220−1−5−1−51+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+520000000000000000-4-42-4-42220400-2-201+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+5001−521−520000000000000000
χ1144-444-4-44-40000000−1−51+5−1−5−1−51+51+5−1−51+50000000−1+51−5−1+5−1+51−51−5−1+51−50000000000000000000000-44-4-444-4400000001+5−1−51+51+5−1−5−1−51+5−1−500000001−5−1+51−51−5−1+5−1+51−5−1+50000000000000000000000
χ1154-44-22-4-2200−2i32i3000−1−51+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+ζ58000000000000000000-44-42-242-2002i3−2i30001+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−ζ58000000000000000000
χ1164-44-22-4-22002i3−2i3000−1−51+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−ζ58000000000000000000-44-42-242-200−2i32i30001+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+ζ58000000000000000000
χ1174-4-24-42-22000023−230−1−51+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+ζ470000000000000000-442-44-22-20000−232301+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−ζ470000000000000000
χ1184-4-24-42-220000−23230−1−51+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−ζ470000000000000000-442-44-22-2000023−2301+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+ζ470000000000000000
χ11988-4-4-4-4220000000−2−25−2−251+51+51+51+5−1−52−1−520000000−2+25−2+251−51−51−51−5−1+52−1+520000000000000000000000-8-84444-2-200000002+252+25−1−5−1−5−1−5−1−51+521+5200000002−252−25−1+5−1+5−1+5−1+51−521−520000000000000000000000
χ1208-8-4-4442-20000000−2−252+251+51+5−1−5−1−5−1−521+520000000−2+252−251−51−5−1+5−1+5−1+521−520000000000000000000000-8844-4-4-2200000002+25−2−25−1−5−1−51+51+51+52−1−5200000002−25−2+25−1+5−1+51−51−51−52−1+520000000000000000000000

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