Finite Group Databasebeta

← Group #14519518

Character table — Group #14519518

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size122444448888888918181818183636363654545454108122444448888888918181818183636363654545454108122444448888888918181818183636363654545454108
order13333333333333322666666662412126333333333333333666666666661212126333333333333333666666666661212126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-11111111111111111111111111-1-1-1-1-11111111111111111111111111-1-1-1-1-1
χ31111111111111111-11-1-111-1-1-11-1-1-111111111111111111-11-1-111-1-1-11-1-1-111111111111111111-11-1-111-1-1-11-1-1-11
χ41111111111111111-11-1-111-1-1-1-1111-11111111111111111-11-1-111-1-1-1-1111-11111111111111111-11-1-111-1-1-1-1111-1
χ5222222222222222-20-200-2-200000000222222222222222-20-200-2-200000000222222222222222-20-200-2-200000000
χ622-12-1-1-1222-1-1-1-1-122-1-1-12-12-1-10000022-12-1-1-1222-1-1-1-1-122-1-1-12-12-1-10000022-12-1-1-1222-1-1-1-1-122-1-1-12-12-1-100000
χ722-12-1-1-1222-1-1-1-1-12-2-1112-1-2110000022-12-1-1-1222-1-1-1-1-12-2-1112-1-2110000022-12-1-1-1222-1-1-1-1-12-2-1112-1-21100000
χ822-12-1-1-1222-1-1-1-1-1-201−i3i3-210−i3i30000022-12-1-1-1222-1-1-1-1-1-201−i3i3-210−i3i30000022-12-1-1-1222-1-1-1-1-1-201−i3i3-210−i3i300000
χ922-12-1-1-1222-1-1-1-1-1-201i3−i3-210i3−i30000022-12-1-1-1222-1-1-1-1-1-201i3−i3-210i3−i30000022-12-1-1-1222-1-1-1-1-1-201i3−i3-210i3−i300000
χ102-12222-12-1-12-1-1-1-120200-1-100002-1-102-12222-12-1-12-1-1-1-120200-1-100002-1-102-12222-12-1-12-1-1-1-120200-1-100002-1-10
χ112-12222-12-1-12-1-1-1-120200-1-10000-21102-12222-12-1-12-1-1-1-120200-1-10000-21102-12222-12-1-12-1-1-1-120200-1-10000-2110
χ122-12222-12-1-12-1-1-1-1-20-20011000003−302-12222-12-1-12-1-1-1-1-20-20011000003−302-12222-12-1-12-1-1-1-1-20-20011000003−30
χ132-12222-12-1-12-1-1-1-1-20-2001100000−3302-12222-12-1-12-1-1-1-1-20-2001100000−3302-12222-12-1-12-1-1-1-1-20-2001100000−330
χ144441114-21-2-211-2-20202200-1-1-1000004441114-21-2-211-2-20202200-1-1-1000004441114-21-2-211-2-20202200-1-1-100000
χ154441114-21-2-211-2-20-20-2-200111000004441114-21-2-211-2-20-20-2-200111000004441114-21-2-211-2-20-20-2-20011100000
χ16444-2-2-241-211-2-21100000000002000-1444-2-2-241-211-2-21100000000002000-1444-2-2-241-211-2-21100000000002000-1
χ17444-2-2-241-211-2-2110000000000-20001444-2-2-241-211-2-2110000000000-20001444-2-2-241-211-2-2110000000000-20001
χ1844-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i3211020−1−i3−1+i300-11+i321−i320000044-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i3211020−1−i3−1+i300-11+i321−i320000044-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i3211020−1−i3−1+i300-11+i321−i3200000
χ1944-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i32110-201+i31−i3001−1−i32−1+i320000044-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i32110-201+i31−i3001−1−i32−1+i320000044-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i32110-201+i31−i3001−1−i32−1+i3200000
χ2044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i3211020−1+i3−1−i300-11−i321+i320000044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i3211020−1+i3−1−i300-11−i321+i320000044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i3211020−1+i3−1−i300-11−i321+i3200000
χ2144-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i32110-201−i31+i3001−1+i32−1−i320000044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i32110-201−i31+i3001−1+i32−1−i320000044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i32110-201−i31+i3001−1+i32−1−i3200000
χ224-2-24-2-214-2-2-2111140-200-21000000004-2-24-2-214-2-2-2111140-200-21000000004-2-24-2-214-2-2-2111140-200-2100000000
χ234-2-24-2-214-2-2-21111-402002-1000000004-2-24-2-214-2-2-21111-402002-1000000004-2-24-2-214-2-2-21111-402002-100000000
χ2488-4-422-42-42-122-1-100000000000000088-4-422-42-42-122-1-100000000000000088-4-422-42-42-122-1-1000000000000000
χ258-48222-4-4-12-4-1-1220000000000000008-48222-4-4-12-4-1-1220000000000000008-48222-4-4-12-4-1-122000000000000000
χ268-48-4-4-4-422-1222-1-10000000000000008-48-4-4-4-422-1222-1-10000000000000008-48-4-4-4-422-1222-1-1000000000000000
χ278-4-42−1−3i3−1+3i32-4-1221+3i321−3i32-1-10000000000000008-4-42−1−3i3−1+3i32-4-1221+3i321−3i32-1-10000000000000008-4-42−1−3i3−1+3i32-4-1221+3i321−3i32-1-1000000000000000
χ288-4-42−1+3i3−1−3i32-4-1221−3i321+3i32-1-10000000000000008-4-42−1+3i3−1−3i32-4-1221−3i321+3i32-1-10000000000000008-4-42−1+3i3−1−3i32-4-1221−3i321+3i32-1-1000000000000000
χ298-4-4-422222-1-1-1-15-40000000000000008-4-4-422222-1-1-1-15-40000000000000008-4-4-422222-1-1-1-15-4000000000000000
χ308-4-4-422222-1-1-1-1-450000000000000008-4-4-422222-1-1-1-1-450000000000000008-4-4-422222-1-1-1-1-45000000000000000
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+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−i32
χ321111111111111111111111111-1-1-1-1-1−1+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+i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i32
χ331111111111111111-11-1-111-1-1-11-1-1-11−1+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32
χ341111111111111111-11-1-111-1-1-1-1111-1−1+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ35222222222222222-20-200-2-200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i301−i3001−i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i301+i3001+i31+i300000000
χ3622-12-1-1-1222-1-1-1-1-122-1-1-12-12-1-100000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i321−i3200000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i321+i3200000
χ3722-12-1-1-1222-1-1-1-1-12-2-1112-1-21100000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i31−i32−1+i32−1+i32−1+i31−i321−i3−1+i32−1+i3200000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i31+i32−1−i32−1−i32−1−i31+i321+i3−1−i32−1−i3200000
χ3822-12-1-1-1222-1-1-1-1-1-201−i3i3-210−i3i300000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i30−1+i323+i32−3−i321−i3−1+i3203+i32−3−i3200000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i30−1−i32−3+i323−i321+i3−1−i320−3+i323−i3200000
χ3922-12-1-1-1222-1-1-1-1-1-201i3−i3-210i3−i300000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i30−1+i32−3−i323+i321−i3−1+i320−3−i323+i3200000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i30−1−i323−i32−3+i321+i3−1−i3203−i32−3+i3200000
χ402-12222-12-1-12-1-1-1-120200-1-100002-1-10−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i30−1+i3001−i321−i320000−1+i31−i321−i320−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i30−1−i3001+i321+i320000−1−i31+i321+i320
χ412-12222-12-1-12-1-1-1-120200-1-10000-2110−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i30−1+i3001−i321−i3200001−i3−1+i32−1+i320−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i30−1−i3001+i321+i3200001+i3−1−i32−1−i320
χ422-12222-12-1-12-1-1-1-1-20-20011000003−30−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i301−i300−1+i32−1+i3200000−ζ7−2ζ11ζ7+2ζ110−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i301+i300−1−i32−1−i32000002ζ7+ζ11−2ζ7−ζ110
χ432-12222-12-1-12-1-1-1-1-20-2001100000−330−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i301−i300−1+i32−1+i3200000ζ7+2ζ11−ζ7−2ζ110−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i301+i300−1−i32−1−i3200000−2ζ7−ζ112ζ7+ζ110
χ444441114-21-2-211-2-20202200-1-1-100000−2+2i3−2+2i3−2+2i3−1+i32−1+i32−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i30−1+i30−1+i3−1+i3001−i321−i321−i3200000−2−2i3−2−2i3−2−2i3−1−i32−1−i32−1−i32−2−2i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i30−1−i30−1−i3−1−i3001+i321+i321+i3200000
χ454441114-21-2-211-2-20-20-2-20011100000−2+2i3−2+2i3−2+2i3−1+i32−1+i32−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i301−i301−i31−i300−1+i32−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−1−i32−1−i32−1−i32−2−2i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i301+i301+i31+i300−1−i32−1−i32−1−i3200000
χ46444-2-2-241-211-2-21100000000002000-1−2+2i3−2+2i3−2+2i31−i31−i31−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i320000000000−1+i30001−i32−2−2i3−2−2i3−2−2i31+i31+i31+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i320000000000−1−i30001+i32
χ47444-2-2-241-211-2-2110000000000-20001−2+2i3−2+2i3−2+2i31−i31−i31−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000001−i3000−1+i32−2−2i3−2−2i3−2−2i31+i31+i31+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000001+i3000−1−i32
χ4844-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i3211020−1−i3−1+i300-11+i321−i3200000−2+2i3−2+2i31−i3−1+i325+i32−2−i31−i31−i3−1+i321−i3−1+i325+i32−2−i3−1+i32−1+i320−1+i302−1−i3001−i32-11+i3200000−2−2i3−2−2i31+i3−1−i32−2+i35−i321+i31+i3−1−i321+i3−1−i32−2+i35−i32−1−i32−1−i320−1−i30−1+i32001+i321−i32-100000
χ4944-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i32110-201+i31−i3001−1−i32−1+i3200000−2+2i3−2+2i31−i3−1+i325+i32−2−i31−i31−i3−1+i321−i3−1+i325+i32−2−i3−1+i32−1+i3201−i30-21+i300−1+i321−1−i3200000−2−2i3−2−2i31+i3−1−i32−2+i35−i321+i31+i3−1−i321+i3−1−i32−2+i35−i32−1−i32−1−i3201+i301−i3-200−1−i32−1+i32100000
χ5044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i3211020−1+i3−1−i300-11−i321+i3200000−2+2i3−2+2i31−i3−1+i32−2−i35+i321−i31−i3−1+i321−i3−1+i32−2−i35+i32−1+i32−1+i320−1+i30−1−i32001−i321+i32-100000−2−2i3−2−2i31+i3−1−i325−i32−2+i31+i31+i3−1−i321+i3−1−i325−i32−2+i3−1−i32−1−i320−1−i302−1+i3001+i32-11−i3200000
χ5144-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i32110-201−i31+i3001−1+i32−1−i3200000−2+2i3−2+2i31−i3−1+i32−2−i35+i321−i31−i3−1+i321−i3−1+i32−2−i35+i32−1+i32−1+i3201−i301+i3-200−1+i32−1−i32100000−2−2i3−2−2i31+i3−1−i325−i32−2+i31+i31+i3−1−i321+i3−1−i325−i32−2+i3−1−i32−1−i3201+i30-21−i300−1−i321−1+i3200000
χ524-2-24-2-214-2-2-2111140-200-2100000000−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−2+2i301−i3001−i3−1+i3200000000−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−2−2i301+i3001+i3−1−i3200000000
χ534-2-24-2-214-2-2-21111-402002-100000000−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i322−2i30−1+i300−1+i31−i3200000000−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i322+2i30−1−i300−1−i31+i3200000000
χ5488-4-422-42-42-122-1-1000000000000000−4+4i3−4+4i32−2i32−2i3−1+i3−1+i32−2i3−1+i32−2i3−1+i31−i32−1+i3−1+i31−i321−i32000000000000000−4−4i3−4−4i32+2i32+2i3−1−i3−1−i32+2i3−1−i32+2i3−1−i31+i32−1−i3−1−i31+i321+i32000000000000000
χ558-48222-4-4-12-4-1-122000000000000000−4+4i32−2i3−4+4i3−1+i3−1+i3−1+i32−2i32−2i31−i32−1+i32−2i31−i321−i32−1+i3−1+i3000000000000000−4−4i32+2i3−4−4i3−1−i3−1−i3−1−i32+2i32+2i31+i32−1−i32+2i31+i321+i32−1−i3−1−i3000000000000000
χ568-48-4-4-4-422-1222-1-1000000000000000−4+4i32−2i3−4+4i32−2i32−2i32−2i32−2i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32000000000000000−4−4i32+2i3−4−4i32+2i32+2i32+2i32+2i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32000000000000000
χ578-4-42−1−3i3−1+3i32-4-1221+3i321−3i32-1-1000000000000000−4+4i32−2i32−2i3−1+i35+i3−4−2i3−1+i32−2i31−i32−1+i3−1+i3−5−i322+i31−i321−i32000000000000000−4−4i32+2i32+2i3−1−i3−4+2i35−i3−1−i32+2i31+i32−1−i3−1−i32−i3−5+i321+i321+i32000000000000000
χ588-4-42−1+3i3−1−3i32-4-1221−3i321+3i32-1-1000000000000000−4+4i32−2i32−2i3−1+i3−4−2i35+i3−1+i32−2i31−i32−1+i3−1+i32+i3−5−i321−i321−i32000000000000000−4−4i32+2i32+2i3−1−i35−i3−4+2i3−1−i32+2i31+i32−1−i3−1−i3−5+i322−i31+i321+i32000000000000000
χ598-4-4-422222-1-1-1-15-4000000000000000−4+4i32−2i32−2i32−2i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−5+5i322−2i3000000000000000−4−4i32+2i32+2i32+2i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−5−5i322+2i3000000000000000
χ608-4-4-422222-1-1-1-1-45000000000000000−4+4i32−2i32−2i32−2i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i322−2i3−5+5i32000000000000000−4−4i32+2i32+2i32+2i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i322+2i3−5−5i32000000000000000
χ61111111111111111111111111111111−1−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+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
χ621111111111111111111111111-1-1-1-1-1−1−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−i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i32
χ631111111111111111-11-1-111-1-1-11-1-1-11−1−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32
χ641111111111111111-11-1-111-1-1-1-1111-1−1−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ65222222222222222-20-200-2-200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i301+i3001+i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i301−i3001−i31−i300000000
χ6622-12-1-1-1222-1-1-1-1-122-1-1-12-12-1-100000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i321+i3200000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i321−i3200000
χ6722-12-1-1-1222-1-1-1-1-12-2-1112-1-21100000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i31+i32−1−i32−1−i32−1−i31+i321+i3−1−i32−1−i3200000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i31−i32−1+i32−1+i32−1+i31−i321−i3−1+i32−1+i3200000
χ6822-12-1-1-1222-1-1-1-1-1-201−i3i3-210−i3i300000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i30−1−i32−3+i323−i321+i3−1−i320−3+i323−i3200000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i30−1+i323+i32−3−i321−i3−1+i3203+i32−3−i3200000
χ6922-12-1-1-1222-1-1-1-1-1-201i3−i3-210i3−i300000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i30−1−i323−i32−3+i321+i3−1−i3203−i32−3+i3200000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i30−1+i32−3−i323+i321−i3−1+i320−3−i323+i3200000
χ702-12222-12-1-12-1-1-1-120200-1-100002-1-10−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i30−1−i3001+i321+i320000−1−i31+i321+i320−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i30−1+i3001−i321−i320000−1+i31−i321−i320
χ712-12222-12-1-12-1-1-1-120200-1-10000-2110−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i30−1−i3001+i321+i3200001+i3−1−i32−1−i320−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i30−1+i3001−i321−i3200001−i3−1+i32−1+i320
χ722-12222-12-1-12-1-1-1-1-20-20011000003−30−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i301+i300−1−i32−1−i32000002ζ7+ζ11−2ζ7−ζ110−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i301−i300−1+i32−1+i3200000−ζ7−2ζ11ζ7+2ζ110
χ732-12222-12-1-12-1-1-1-1-20-2001100000−330−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i301+i300−1−i32−1−i3200000−2ζ7−ζ112ζ7+ζ110−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i301−i300−1+i32−1+i3200000ζ7+2ζ11−ζ7−2ζ110
χ744441114-21-2-211-2-20202200-1-1-100000−2−2i3−2−2i3−2−2i3−1−i32−1−i32−1−i32−2−2i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i30−1−i30−1−i3−1−i3001+i321+i321+i3200000−2+2i3−2+2i3−2+2i3−1+i32−1+i32−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i30−1+i30−1+i3−1+i3001−i321−i321−i3200000
χ754441114-21-2-211-2-20-20-2-20011100000−2−2i3−2−2i3−2−2i3−1−i32−1−i32−1−i32−2−2i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i301+i301+i31+i300−1−i32−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−1+i32−1+i32−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i301−i301−i31−i300−1+i32−1+i32−1+i3200000
χ76444-2-2-241-211-2-21100000000002000-1−2−2i3−2−2i3−2−2i31+i31+i31+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i320000000000−1−i30001+i32−2+2i3−2+2i3−2+2i31−i31−i31−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i320000000000−1+i30001−i32
χ77444-2-2-241-211-2-2110000000000-20001−2−2i3−2−2i3−2−2i31+i31+i31+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000001+i3000−1−i32−2+2i3−2+2i3−2+2i31−i31−i31−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000001−i3000−1+i32
χ7844-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i3211020−1−i3−1+i300-11+i321−i3200000−2−2i3−2−2i31+i3−1−i32−2+i35−i321+i31+i3−1−i321+i3−1−i32−2+i35−i32−1−i32−1−i320−1−i30−1+i32001+i321−i32-100000−2+2i3−2+2i31−i3−1+i325+i32−2−i31−i31−i3−1+i321−i3−1+i325+i32−2−i3−1+i32−1+i320−1+i302−1−i3001−i32-11+i3200000
χ7944-21−1−3i32−1+3i32-2-21-21−1−3i32−1+3i32110-201+i31−i3001−1−i32−1+i3200000−2−2i3−2−2i31+i3−1−i32−2+i35−i321+i31+i3−1−i321+i3−1−i32−2+i35−i32−1−i32−1−i3201+i301−i3-200−1−i32−1+i32100000−2+2i3−2+2i31−i3−1+i325+i32−2−i31−i31−i3−1+i321−i3−1+i325+i32−2−i3−1+i32−1+i3201−i30-21+i300−1+i321−1−i3200000
χ8044-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i3211020−1+i3−1−i300-11−i321+i3200000−2−2i3−2−2i31+i3−1−i325−i32−2+i31+i31+i3−1−i321+i3−1−i325−i32−2+i3−1−i32−1−i320−1−i302−1+i3001+i32-11−i3200000−2+2i3−2+2i31−i3−1+i32−2−i35+i321−i31−i3−1+i321−i3−1+i32−2−i35+i32−1+i32−1+i320−1+i30−1−i32001−i321+i32-100000
χ8144-21−1+3i32−1−3i32-2-21-21−1+3i32−1−3i32110-201−i31+i3001−1+i32−1−i3200000−2−2i3−2−2i31+i3−1−i325−i32−2+i31+i31+i3−1−i321+i3−1−i325−i32−2+i3−1−i32−1−i3201+i30-21−i300−1−i321−1+i3200000−2+2i3−2+2i31−i3−1+i32−2−i35+i321−i31−i3−1+i321−i3−1+i32−2−i35+i32−1+i32−1+i3201−i301+i3-200−1+i32−1−i32100000
χ824-2-24-2-214-2-2-2111140-200-2100000000−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−2−2i301+i3001+i3−1−i3200000000−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−2+2i301−i3001−i3−1+i3200000000
χ834-2-24-2-214-2-2-21111-402002-100000000−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−2−2i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i322+2i30−1−i300−1−i31+i3200000000−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−2+2i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i322−2i30−1+i300−1+i31−i3200000000
χ8488-4-422-42-42-122-1-1000000000000000−4−4i3−4−4i32+2i32+2i3−1−i3−1−i32+2i3−1−i32+2i3−1−i31+i32−1−i3−1−i31+i321+i32000000000000000−4+4i3−4+4i32−2i32−2i3−1+i3−1+i32−2i3−1+i32−2i3−1+i31−i32−1+i3−1+i31−i321−i32000000000000000
χ858-48222-4-4-12-4-1-122000000000000000−4−4i32+2i3−4−4i3−1−i3−1−i3−1−i32+2i32+2i31+i32−1−i32+2i31+i321+i32−1−i3−1−i3000000000000000−4+4i32−2i3−4+4i3−1+i3−1+i3−1+i32−2i32−2i31−i32−1+i32−2i31−i321−i32−1+i3−1+i3000000000000000
χ868-48-4-4-4-422-1222-1-1000000000000000−4−4i32+2i3−4−4i32+2i32+2i32+2i32+2i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32000000000000000−4+4i32−2i3−4+4i32−2i32−2i32−2i32−2i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32000000000000000
χ878-4-42−1−3i3−1+3i32-4-1221+3i321−3i32-1-1000000000000000−4−4i32+2i32+2i3−1−i3−4+2i35−i3−1−i32+2i31+i32−1−i3−1−i32−i3−5+i321+i321+i32000000000000000−4+4i32−2i32−2i3−1+i35+i3−4−2i3−1+i32−2i31−i32−1+i3−1+i3−5−i322+i31−i321−i32000000000000000
χ888-4-42−1+3i3−1−3i32-4-1221−3i321+3i32-1-1000000000000000−4−4i32+2i32+2i3−1−i35−i3−4+2i3−1−i32+2i31+i32−1−i3−1−i3−5+i322−i31+i321+i32000000000000000−4+4i32−2i32−2i3−1+i3−4−2i35+i3−1+i32−2i31−i32−1+i3−1+i32+i3−5−i321−i321−i32000000000000000
χ898-4-4-422222-1-1-1-15-4000000000000000−4−4i32+2i32+2i32+2i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−5−5i322+2i3000000000000000−4+4i32−2i32−2i32−2i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−5+5i322−2i3000000000000000
χ908-4-4-422222-1-1-1-1-45000000000000000−4−4i32+2i32+2i32+2i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i322+2i3−5−5i32000000000000000−4+4i32−2i32−2i32−2i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i322−2i3−5+5i32000000000000000

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