Finite Group Databasebeta

← Group #72269834

Character table — Group #72269834

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size112223366688888888242424243366699181818242424242424242472727272448881212242424323232323232323296969696448881212242424323232323232323296969696
order124882248836121224242424444422488224886612122424242444443612242466122424361212242424241212121236122424661224243612122424242412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ3111-1-1111-1-11111-1-1-1-11-11-1111-1-1111-1-11111-1-1-1-11-11-1111-1-1111-1-11111-1-1-1-11-11-1111-1-1111-1-11111-1-1-1-11-11-1
χ4111-1-1111-1-11111-1-1-1-1-11-11111-1-1111-1-11111-1-1-1-1-11-11111-1-1111-1-11111-1-1-1-1-11-11111-1-1111-1-11111-1-1-1-1-11-11
χ52222222222-1-1-1-1-1-1-1-100002222222222-1-1-1-1-1-1-1-100002222222222-1-1-1-1-1-1-1-100002222222222-1-1-1-1-1-1-1-10000
χ6222-2-2222-2-2-1-1-1-111110000222-2-2222-2-2-1-1-1-111110000222-2-2222-2-2-1-1-1-111110000222-2-2222-2-2-1-1-1-111110000
χ722-20022-20022-2-20000000022-20022-20022-2-20000000022-20022-20022-2-20000000022-20022-20022-2-200000000
χ822-20022-200-1-11133−3−3000022-20022-200-1-11133−3−3000022-20022-200-1-11133−3−3000022-20022-200-1-11133−3−30000
χ922-20022-200-1-111−3−333000022-20022-200-1-111−3−333000022-20022-200-1-111−3−333000022-20022-200-1-111−3−3330000
χ102-202−22-202−22-2002−22−200002-202−22-202−22-2002−22−200002-202−22-202−22-2002−22−200002-202−22-202−22-2002−22−20000
χ112-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ122-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ132-20−222-20−222-200−22−2200002-20−222-20−222-200−22−2200002-20−222-20−222-200−22−2200002-20−222-20−222-200−22−220000
χ142-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ152-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ1633333-1-1-1-1-10000000011-1-133333-1-1-1-1-10000000011-1-133333-1-1-1-1-10000000011-1-133333-1-1-1-1-10000000011-1-1
χ1733333-1-1-1-1-100000000-1-11133333-1-1-1-1-100000000-1-11133333-1-1-1-1-100000000-1-11133333-1-1-1-1-100000000-1-111
χ18333-3-3-1-1-111000000001-1-11333-3-3-1-1-111000000001-1-11333-3-3-1-1-111000000001-1-11333-3-3-1-1-111000000001-1-11
χ19333-3-3-1-1-11100000000-111-1333-3-3-1-1-11100000000-111-1333-3-3-1-1-11100000000-111-1333-3-3-1-1-11100000000-111-1
χ2066-600-2-220000000000000066-600-2-220000000000000066-600-2-220000000000000066-600-2-2200000000000000
χ216-6032−32-220−220000000000006-6032−32-220−220000000000006-6032−32-220−220000000000006-6032−32-220−22000000000000
χ226-60−3232-2202−20000000000006-60−3232-2202−20000000000006-60−3232-2202−20000000000006-60−3232-2202−2000000000000
χ2311111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ24111111111111111111-1-1-1-1111111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ25111-1-1111-1-11111-1-1-1-11-11-1111-1-1111-1-11111-1-1-1-11-11-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ26111-1-1111-1-11111-1-1-1-1-11-11111-1-1111-1-11111-1-1-1-1-11-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ272222222222-1-1-1-1-1-1-1-100002222222222-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000
χ28222-2-2222-2-2-1-1-1-111110000222-2-2222-2-2-1-1-1-111110000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ2922-20022-20022-2-20000000022-20022-20022-2-200000000−1+i3−1+i31−i300−1+i3−1+i31−i300−1+i3−1+i31−i31−i300000000−1−i3−1−i31+i300−1−i3−1−i31+i300−1−i3−1−i31+i31+i300000000
χ3022-20022-200-1-11133−3−3000022-20022-200-1-11133−3−30000−1+i3−1+i31−i300−1+i3−1+i31−i3001−i321−i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000−1−i3−1−i31+i300−1−i3−1−i31+i3001+i321+i32−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000
χ3122-20022-200-1-111−3−333000022-20022-200-1-111−3−3330000−1+i3−1+i31−i300−1+i3−1+i31−i3001−i321−i32−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000−1−i3−1−i31+i300−1−i3−1−i31+i3001+i321+i32−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000
χ322-202−22-202−22-2002−22−200002-202−22-202−22-2002−22−20000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000
χ332-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i30ζ5−ζ23−ζ5+ζ231−i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ130000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i30−ζ7+ζ13ζ7−ζ131+i32−1−i322ζ14+ζ22−2ζ14−ζ22−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ230000
χ342-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i30ζ5−ζ23−ζ5+ζ231−i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i30−ζ7+ζ13ζ7−ζ131+i32−1−i32−2ζ14−ζ222ζ14+ζ22ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ230000
χ352-20−222-20−222-200−22−2200002-20−222-20−222-200−22−220000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000
χ362-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i30−ζ5+ζ23ζ5−ζ231−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ130000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i30ζ7−ζ13−ζ7+ζ131+i32−1−i322ζ14+ζ22−2ζ14−ζ22ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ230000
χ372-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i30−ζ5+ζ23ζ5−ζ231−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i30ζ7−ζ13−ζ7+ζ131+i32−1−i32−2ζ14−ζ222ζ14+ζ22−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ230000
χ3833333-1-1-1-1-10000000011-1-133333-1-1-1-1-10000000011-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i3200000000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i3200000000−1−i32−1−i321+i321+i32
χ3933333-1-1-1-1-100000000-1-11133333-1-1-1-1-100000000-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i32000000001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i32000000001+i321+i32−1−i32−1−i32
χ40333-3-3-1-1-111000000001-1-11333-3-3-1-1-111000000001-1-11−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i32−1+i32−1+i3200000000−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i32−1−i32−1−i3200000000−1−i321+i321+i32−1−i32
χ41333-3-3-1-1-11100000000-111-1333-3-3-1-1-11100000000-111-1−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i32−1+i32−1+i32000000001−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i32−1−i32−1−i32000000001+i32−1−i32−1−i321+i32
χ4266-600-2-220000000000000066-600-2-2200000000000000−3+3i3−3+3i33−3i3001−i31−i3−1+i300000000000000−3−3i3−3−3i33+3i3001+i31+i3−1−i300000000000000
χ436-6032−32-220−220000000000006-6032−32-220−22000000000000−3+3i33−3i303ζ5−3ζ23−3ζ5+3ζ231−i3−1+i30−ζ5+ζ23ζ5−ζ23000000000000−3−3i33+3i30−3ζ7+3ζ133ζ7−3ζ131+i3−1−i30ζ7−ζ13−ζ7+ζ13000000000000
χ446-60−3232-2202−20000000000006-60−3232-2202−2000000000000−3+3i33−3i30−3ζ5+3ζ233ζ5−3ζ231−i3−1+i30ζ5−ζ23−ζ5+ζ23000000000000−3−3i33+3i303ζ7−3ζ13−3ζ7+3ζ131+i3−1−i30−ζ7+ζ13ζ7−ζ13000000000000
χ4511111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ46111111111111111111-1-1-1-1111111111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32
χ47111-1-1111-1-11111-1-1-1-11-11-1111-1-1111-1-11111-1-1-1-11-11-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ48111-1-1111-1-11111-1-1-1-1-11-11111-1-1111-1-11111-1-1-1-1-11-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ492222222222-1-1-1-1-1-1-1-100002222222222-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000
χ50222-2-2222-2-2-1-1-1-111110000222-2-2222-2-2-1-1-1-111110000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ5122-20022-20022-2-20000000022-20022-20022-2-200000000−1−i3−1−i31+i300−1−i3−1−i31+i300−1−i3−1−i31+i31+i300000000−1+i3−1+i31−i300−1+i3−1+i31−i300−1+i3−1+i31−i31−i300000000
χ5222-20022-200-1-11133−3−3000022-20022-200-1-11133−3−30000−1−i3−1−i31+i300−1−i3−1−i31+i3001+i321+i32−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000−1+i3−1+i31−i300−1+i3−1+i31−i3001−i321−i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000
χ5322-20022-200-1-111−3−333000022-20022-200-1-111−3−3330000−1−i3−1−i31+i300−1−i3−1−i31+i3001+i321+i32−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000−1+i3−1+i31−i300−1+i3−1+i31−i3001−i321−i32−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000
χ542-202−22-202−22-2002−22−200002-202−22-202−22-2002−22−20000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000
χ552-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-202−22-202−2-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i30−ζ7+ζ13ζ7−ζ131+i32−1−i322ζ14+ζ22−2ζ14−ζ22−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ230000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i30ζ5−ζ23−ζ5+ζ231−i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ130000
χ562-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-202−22-202−2-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000−1−i31+i30−ζ7+ζ13ζ7−ζ13−1−i31+i30−ζ7+ζ13ζ7−ζ131+i32−1−i32−2ζ14−ζ222ζ14+ζ22ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ230000−1+i31−i30ζ5−ζ23−ζ5+ζ23−1+i31−i30ζ5−ζ23−ζ5+ζ231−i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ230000
χ572-20−222-20−222-200−22−2200002-20−222-20−222-200−22−220000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000
χ582-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-20−222-20−22-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i30ζ7−ζ13−ζ7+ζ131+i32−1−i322ζ14+ζ22−2ζ14−ζ22ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ230000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i30−ζ5+ζ23ζ5−ζ231−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ130000
χ592-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-20−222-20−22-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000−1−i31+i30ζ7−ζ13−ζ7+ζ13−1−i31+i30ζ7−ζ13−ζ7+ζ131+i32−1−i32−2ζ14−ζ222ζ14+ζ22−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ230000−1+i31−i30−ζ5+ζ23ζ5−ζ23−1+i31−i30−ζ5+ζ23ζ5−ζ231−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ230000
χ6033333-1-1-1-1-10000000011-1-133333-1-1-1-1-10000000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i3200000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i3200000000−1+i32−1+i321−i321−i32
χ6133333-1-1-1-1-100000000-1-11133333-1-1-1-1-100000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i32000000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i32000000001−i321−i32−1+i32−1+i32
χ62333-3-3-1-1-111000000001-1-11333-3-3-1-1-111000000001-1-11−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i32−1−i32−1−i3200000000−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i32−1+i32−1+i3200000000−1+i321−i321−i32−1+i32
χ63333-3-3-1-1-11100000000-111-1333-3-3-1-1-11100000000-111-1−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i32−1−i32−1−i32000000001+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i32−1+i32−1+i32000000001−i32−1+i32−1+i321−i32
χ6466-600-2-220000000000000066-600-2-2200000000000000−3−3i3−3−3i33+3i3001+i31+i3−1−i300000000000000−3+3i3−3+3i33−3i3001−i31−i3−1+i300000000000000
χ656-6032−32-220−220000000000006-6032−32-220−22000000000000−3−3i33+3i30−3ζ7+3ζ133ζ7−3ζ131+i3−1−i30ζ7−ζ13−ζ7+ζ13000000000000−3+3i33−3i303ζ5−3ζ23−3ζ5+3ζ231−i3−1+i30−ζ5+ζ23ζ5−ζ23000000000000
χ666-60−3232-2202−20000000000006-60−3232-2202−2000000000000−3−3i33+3i303ζ7−3ζ13−3ζ7+3ζ131+i3−1−i30−ζ7+ζ13ζ7−ζ13000000000000−3+3i33−3i30−3ζ5+3ζ233ζ5−3ζ231−i3−1+i30ζ5−ζ23−ζ5+ζ23000000000000
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χ70333-3-3333-3-33333-3-3-3-3-33-33-1-1-111-1-1-111-1-1-1-111111-11-100000000000000000000000000000000000000000000
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χ7366-60066-60066-6-600000000-2-2200-2-2200-2-2220000000000000000000000000000000000000000000000000000
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χ766-6032−326-6032−326-60032−3232−320000-220−22-220−22-2200−22−22000000000000000000000000000000000000000000000000
χ776-6032−326-6032−32-3333−333ζ5−3ζ7−3ζ5+3ζ73ζ13−3ζ23−3ζ13+3ζ230000-220−22-220−221-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000000000000000000000000000000000000000
χ786-6032−326-6032−32-33−33333ζ13−3ζ23−3ζ13+3ζ233ζ5−3ζ7−3ζ5+3ζ70000-220−22-220−221-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000000000000000000000000000000000000000
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χ806-60−32326-60−3232-3333−33−3ζ5+3ζ73ζ5−3ζ7−3ζ13+3ζ233ζ13−3ζ230000-2202−2-2202−21-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000000000000000000000000000000000
χ816-60−32326-60−3232-33−3333−3ζ13+3ζ233ζ13−3ζ23−3ζ5+3ζ73ζ5−3ζ70000-2202−2-2202−21-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000000000000000000000000000000000
χ8299999-3-3-3-3-30000000033-3-3-3-3-3-3-31111100000000-1-11100000000000000000000000000000000000000000000
χ8399999-3-3-3-3-300000000-3-333-3-3-3-3-3111110000000011-1-100000000000000000000000000000000000000000000
χ84999-9-9-3-3-333000000003-3-33-3-3-333111-1-100000000-111-100000000000000000000000000000000000000000000
χ85999-9-9-3-3-33300000000-333-3-3-3-333111-1-1000000001-1-1100000000000000000000000000000000000000000000
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χ8718-18092−92-660−3232000000000000-660−32322-202−200000000000000000000000000000000000000000000000000000000
χ8818-180−9292-66032−32000000000000-66032−322-20−2200000000000000000000000000000000000000000000000000000000

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