Finite Group Databasebeta

← Group #64064

Character table — Group #64064

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112224444661211222444466121122244446612112224444661211222444466121122244446612
order1234641212128823631261212121224246363126121212122424622646412121288266612612121212242466661261212121224246
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-1
χ411111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11
χ5222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-111000
χ822-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000
χ922-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000
χ102-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20
χ112-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ14111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321+i321+i32111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321+i321+i32
χ1511111-11-1-111-1−1+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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i3211111-11-1-111-1−1+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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ1611111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i3211111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ17222-220-200000−1+i3−1+i3−1+i31−i3−1+i301−i300000−1−i3−1−i3−1−i31+i3−1−i301+i300000222-220-200000−1+i3−1+i3−1+i31−i3−1+i301−i300000−1−i3−1−i3−1−i31+i3−1−i301+i300000
χ1822-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000
χ1922-12-1-2-111000−1+i3−1+i31−i32−1+i31−i321−i31−i32−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i321+i31+i32−1−i32−1−i3200022-12-1-2-111000−1+i3−1+i31−i32−1+i31−i321−i31−i32−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i321+i31+i32−1−i32−1−i32000
χ2022-1-2-101−i3i3000−1+i3−1+i31−i321−i31−i320−1+i323+i32−3−i32000−1−i3−1−i31+i321+i31+i320−1−i32−3+i323−i3200022-1-2-101−i3i3000−1+i3−1+i31−i321−i31−i320−1+i323+i32−3−i32000−1−i3−1−i31+i321+i31+i320−1−i32−3+i323−i32000
χ2122-1-2-101i3−i3000−1+i3−1+i31−i321−i31−i320−1+i32−3−i323+i32000−1−i3−1−i31+i321+i31+i320−1−i323−i32−3+i3200022-1-2-101i3−i3000−1+i3−1+i31−i321−i31−i320−1+i32−3−i323+i32000−1−i3−1−i31+i321+i31+i320−1−i323−i32−3+i32000
χ222-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ1302-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130
χ232-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ1302-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130
χ244-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i300000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i30000000
χ25111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ26111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321−i321−i32111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321−i321−i32
χ2711111-11-1-111-1−1−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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i3211111-11-1-111-1−1−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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ2811111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i3211111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32
χ29222-220-200000−1−i3−1−i3−1−i31+i3−1−i301+i300000−1+i3−1+i3−1+i31−i3−1+i301−i300000222-220-200000−1−i3−1−i3−1−i31+i3−1−i301+i300000−1+i3−1+i3−1+i31−i3−1+i301−i300000
χ3022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i3200022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000
χ3122-12-1-2-111000−1−i3−1−i31+i32−1−i31+i321+i31+i32−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i321−i31−i32−1+i32−1+i3200022-12-1-2-111000−1−i3−1−i31+i32−1−i31+i321+i31+i32−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i321−i31−i32−1+i32−1+i32000
χ3222-1-2-101−i3i3000−1−i3−1−i31+i321+i31+i320−1−i32−3+i323−i32000−1+i3−1+i31−i321−i31−i320−1+i323+i32−3−i3200022-1-2-101−i3i3000−1−i3−1−i31+i321+i31+i320−1−i32−3+i323−i32000−1+i3−1+i31−i321−i31−i320−1+i323+i32−3−i32000
χ3322-1-2-101i3−i3000−1−i3−1−i31+i321+i31+i320−1−i323−i32−3+i32000−1+i3−1+i31−i321−i31−i320−1+i32−3−i323+i3200022-1-2-101i3−i3000−1−i3−1−i31+i321+i31+i320−1−i323−i32−3+i32000−1+i3−1+i31−i321−i31−i320−1+i32−3−i323+i32000
χ342-220-20000−i2i20−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ2302-220-20000−i2i20−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230
χ352-220-20000i2−i20−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ2302-220-20000i2−i20−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230
χ364-4-2020000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i300000004-4-2020000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i30000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111
χ3911111-11-1-111-111111-11-1-111-111111-11-1-111-1-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-11
χ4011111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11-1-1-1-1-11-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-11111-1
χ41222-220-200000222-220-200000222-220-200000-2-2-22-20200000-2-2-22-20200000-2-2-22-20200000
χ4222-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000
χ4322-12-1-2-11100022-12-1-2-11100022-12-1-2-111000-2-21-2121-1-1000-2-21-2121-1-1000-2-21-2121-1-1000
χ4422-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000-2-21210-1i3−i3000-2-21210-1i3−i3000-2-21210-1i3−i3000
χ4522-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000-2-21210-1−i3i3000-2-21210-1−i3i3000-2-21210-1−i3i3000
χ462-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i20-22-2020000i2−i20-22-2020000i2−i20
χ472-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i20-22-2020000−i2i20-22-2020000−i2i20
χ484-4-20200000004-4-20200000004-4-2020000000-4420-20000000-4420-20000000-4420-20000000
χ49111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ50111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321+i321+i32-1-1-1-1-1-1-1-1-11111−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ5111111-11-1-111-1−1+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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32-1-1-1-1-11-111-1-111−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5211111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32-1-1-1-1-11-11111-11−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ53222-220-200000−1+i3−1+i3−1+i31−i3−1+i301−i300000−1−i3−1−i3−1−i31+i3−1−i301+i300000-2-2-22-202000001−i31−i31−i3−1+i31−i30−1+i3000001+i31+i31+i3−1−i31+i30−1−i300000
χ5422-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000-2-21-21-21110001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i320001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i32000
χ5522-12-1-2-111000−1+i3−1+i31−i32−1+i31−i321−i31−i32−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i321+i31+i32−1−i32−1−i32000-2-21-2121-1-10001−i31−i3−1+i321−i3−1+i32−1+i3−1+i321−i321−i320001+i31+i3−1−i321+i3−1−i32−1−i3−1−i321+i321+i32000
χ5622-1-2-101−i3i3000−1+i3−1+i31−i321−i31−i320−1+i323+i32−3−i32000−1−i3−1−i31+i321+i31+i320−1−i32−3+i323−i32000-2-21210-1i3−i30001−i31−i3−1+i32−1+i3−1+i3201−i32−3−i323+i320001+i31+i3−1−i32−1−i3−1−i3201+i323−i32−3+i32000
χ5722-1-2-101i3−i3000−1+i3−1+i31−i321−i31−i320−1+i32−3−i323+i32000−1−i3−1−i31+i321+i31+i320−1−i323−i32−3+i32000-2-21210-1−i3i30001−i31−i3−1+i32−1+i3−1+i3201−i323+i32−3−i320001+i31+i3−1−i32−1−i3−1−i3201+i32−3+i323−i32000
χ582-220-20000−i2i20−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130-22-2020000i2−i201−i3−1+i31−i30−1+i30000−ζ5−ζ23ζ5+ζ2301+i3−1−i31+i30−1−i30000−ζ7−ζ13ζ7+ζ130
χ592-220-20000i2−i20−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130-22-2020000−i2i201−i3−1+i31−i30−1+i30000ζ5+ζ23−ζ5−ζ2301+i3−1−i31+i30−1−i30000ζ7+ζ13−ζ7−ζ130
χ604-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i30000000-4420-200000002−2i3−2+2i3−1+i301−i300000002+2i3−2−2i3−1−i301+i30000000
χ61111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ62111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321−i321−i32-1-1-1-1-1-1-1-1-11111+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ6311111-11-1-111-1−1−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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32-1-1-1-1-11-111-1-111+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ6411111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32-1-1-1-1-11-11111-11+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ65222-220-200000−1−i3−1−i3−1−i31+i3−1−i301+i300000−1+i3−1+i3−1+i31−i3−1+i301−i300000-2-2-22-202000001+i31+i31+i3−1−i31+i30−1−i3000001−i31−i31−i3−1+i31−i30−1+i300000
χ6622-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000-2-21-21-21110001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i320001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i32000
χ6722-12-1-2-111000−1−i3−1−i31+i32−1−i31+i321+i31+i32−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i321−i31−i32−1+i32−1+i32000-2-21-2121-1-10001+i31+i3−1−i321+i3−1−i32−1−i3−1−i321+i321+i320001−i31−i3−1+i321−i3−1+i32−1+i3−1+i321−i321−i32000
χ6822-1-2-101−i3i3000−1−i3−1−i31+i321+i31+i320−1−i32−3+i323−i32000−1+i3−1+i31−i321−i31−i320−1+i323+i32−3−i32000-2-21210-1i3−i30001+i31+i3−1−i32−1−i3−1−i3201+i323−i32−3+i320001−i31−i3−1+i32−1+i3−1+i3201−i32−3−i323+i32000
χ6922-1-2-101i3−i3000−1−i3−1−i31+i321+i31+i320−1−i323−i32−3+i32000−1+i3−1+i31−i321−i31−i320−1+i32−3−i323+i32000-2-21210-1−i3i30001+i31+i3−1−i32−1−i3−1−i3201+i32−3+i323−i320001−i31−i3−1+i32−1+i3−1+i3201−i323+i32−3−i32000
χ702-220-20000−i2i20−1−i31+i3−1−i301+i30000ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5+ζ23−ζ5−ζ230-22-2020000i2−i201+i3−1−i31+i30−1−i30000−ζ7−ζ13ζ7+ζ1301−i3−1+i31−i30−1+i30000−ζ5−ζ23ζ5+ζ230
χ712-220-20000i2−i20−1−i31+i3−1−i301+i30000−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5−ζ23ζ5+ζ230-22-2020000−i2i201+i3−1−i31+i30−1−i30000ζ7+ζ13−ζ7−ζ1301−i3−1+i31−i30−1+i30000ζ5+ζ23−ζ5−ζ230
χ724-4-2020000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i30000000-4420-200000002+2i3−2−2i3−1−i301+i300000002−2i3−2+2i3−1+i301−i30000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.