Finite Group Databasebeta

← Group #72231323

Character table — Group #72231323

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112244448888888888888888252530305050505050505050606060601501501122444488888888888888882525303050505050505050506060606015015011224444888888888888888825253030505050505050505060606060150150
order12365510105510101515151515153030303030302244446612121212202020204436361515303015153030151515151515303030303030661212121266121212126060606012123636151530301515303015151515151530303030303066121212126612121212606060601212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-11111111111111111111111111111-1-111-1-1-1-11111-1-11111111111111111111111111111-1-111-1-1-1-11111-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1-1-111111111111111111111111111-1-111111111-1-1-1-1-1-111111111111111111111111111-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-11-1i−i-1-1ii−i−i11-1-1i−i111111111111111111111111-1-11-1i−i-1-1ii−i−i11-1-1i−i111111111111111111111111-1-11-1i−i-1-1ii−i−i11-1-1i−i
χ6111111111111111111111111-1-11-1−ii-1-1−i−iii11-1-1−ii111111111111111111111111-1-11-1−ii-1-1−i−iii11-1-1−ii111111111111111111111111-1-11-1−ii-1-1−i−iii11-1-1−ii
χ7111111111111111111111111-1-1-11i−i-1-1ii−i−i-1-111−ii111111111111111111111111-1-1-11i−i-1-1ii−i−i-1-111−ii111111111111111111111111-1-1-11i−i-1-1ii−i−i-1-111−ii
χ8111111111111111111111111-1-1-11−ii-1-1−i−iii-1-111i−i111111111111111111111111-1-1-11−ii-1-1−i−iii-1-111i−i111111111111111111111111-1-1-11−ii-1-1−i−iii-1-111i−i
χ922-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-100000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-100000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-1000000
χ1022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12200-2-2-1-1111100000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12200-2-2-1-1111100000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12200-2-2-1-11111000000
χ1122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2002i−2i11−i−iii00000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2002i−2i11−i−iii00000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2002i−2i11−i−iii000000
χ1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200−2i2i11ii−i−i00000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200−2i2i11ii−i−i00000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200−2i2i11ii−i−i000000
χ132-22-222-2-222-2-2222222-2-2-2-2-2-22-200002-200000000002-22-222-2-222-2-2222222-2-2-2-2-2-22-200002-200000000002-22-222-2-222-2-2222222-2-2-2-2-2-22-200002-20000000000
χ142-22-222-2-222-2-2222222-2-2-2-2-2-2-220000-2200000000002-22-222-2-222-2-2222222-2-2-2-2-2-2-220000-2200000000002-22-222-2-222-2-2222222-2-2-2-2-2-2-220000-220000000000
χ152-2-1122-2-222-2-2-1-1-1-1-1-11111112-20000-113−33−30000002-2-1122-2-222-2-2-1-1-1-1-1-11111112-20000-113−33−30000002-2-1122-2-222-2-2-1-1-1-1-1-11111112-20000-113−33−3000000
χ162-2-1122-2-222-2-2-1-1-1-1-1-11111112-20000-11−33−330000002-2-1122-2-222-2-2-1-1-1-1-1-11111112-20000-11−33−330000002-2-1122-2-222-2-2-1-1-1-1-1-11111112-20000-11−33−33000000
χ172-2-1122-2-222-2-2-1-1-1-1-1-1111111-2200001-1−i3i3i3−i30000002-2-1122-2-222-2-2-1-1-1-1-1-1111111-2200001-1−i3i3i3−i30000002-2-1122-2-222-2-2-1-1-1-1-1-1111111-2200001-1−i3i3i3−i3000000
χ182-2-1122-2-222-2-2-1-1-1-1-1-1111111-2200001-1i3−i3−i3i30000002-2-1122-2-222-2-2-1-1-1-1-1-1111111-2200001-1i3−i3−i3i30000002-2-1122-2-222-2-2-1-1-1-1-1-1111111-2200001-1i3−i3−i3i3000000
χ1944444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100040000000000-1-10044444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100040000000000-1-10044444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100040000000000-1-100
χ2044444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1000-40000000000110044444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1000-40000000000110044444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1000-400000000001100
χ214444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1004000000000-1-100004444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1004000000000-1-100004444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1004000000000-1-10000
χ224444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-100-40000000001100004444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-100-40000000001100004444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-100-4000000000110000
χ234-44-44-1-41-1-1114-1-1-1-1-1-41111100000000000000−i5i5004-44-44-1-41-1-1114-1-1-1-1-1-41111100000000000000−i5i5004-44-44-1-41-1-1114-1-1-1-1-1-41111100000000000000−i5i500
χ244-44-44-1-41-1-1114-1-1-1-1-1-41111100000000000000i5−i5004-44-44-1-41-1-1114-1-1-1-1-1-41111100000000000000i5−i5004-44-44-1-41-1-1114-1-1-1-1-1-41111100000000000000i5−i500
χ254-44-4-141-4-1-111-14-1-1-1-11-41111000000000000−i5i500004-44-4-141-4-1-111-14-1-1-1-11-41111000000000000−i5i500004-44-4-141-4-1-111-14-1-1-1-11-41111000000000000−i5i50000
χ264-44-4-141-4-1-111-14-1-1-1-11-41111000000000000i5−i500004-44-4-141-4-1-111-14-1-1-1-11-41111000000000000i5−i500004-44-4-141-4-1-111-14-1-1-1-11-41111000000000000i5−i50000
χ278888-2-2-2-23-23-2-2-233-2-2-2-233-2-20000000000000000008888-2-2-2-23-23-2-2-233-2-2-2-233-2-20000000000000000008888-2-2-2-23-23-2-2-233-2-2-2-233-2-2000000000000000000
χ288888-2-2-2-2-23-23-2-2-2-233-2-2-2-2330000000000000000008888-2-2-2-2-23-23-2-2-2-233-2-2-2-2330000000000000000008888-2-2-2-2-23-23-2-2-2-233-2-2-2-233000000000000000000
χ2988-4-48-28-2-2-2-2-2-411111-41111100000000000000000088-4-48-28-2-2-2-2-2-411111-41111100000000000000000088-4-48-28-2-2-2-2-2-411111-411111000000000000000000
χ3088-4-4-28-28-2-2-2-21-411111-4111100000000000000000088-4-4-28-28-2-2-2-21-411111-4111100000000000000000088-4-4-28-28-2-2-2-21-411111-41111000000000000000000
χ3188-4-4-2-2-2-23-23-211−3−i152−3+i1521−i151+i1511−3−i152−3+i1521−i151+i1500000000000000000088-4-4-2-2-2-23-23-211−3−i152−3+i1521−i151+i1511−3−i152−3+i1521−i151+i1500000000000000000088-4-4-2-2-2-23-23-211−3−i152−3+i1521−i151+i1511−3−i152−3+i1521−i151+i15000000000000000000
χ3288-4-4-2-2-2-23-23-211−3+i152−3−i1521+i151−i1511−3+i152−3−i1521+i151−i1500000000000000000088-4-4-2-2-2-23-23-211−3+i152−3−i1521+i151−i1511−3+i152−3−i1521+i151−i1500000000000000000088-4-4-2-2-2-23-23-211−3+i152−3−i1521+i151−i1511−3+i152−3−i1521+i151−i15000000000000000000
χ3388-4-4-2-2-2-2-23-23111−i151+i15−3+i152−3−i152111−i151+i15−3+i152−3−i15200000000000000000088-4-4-2-2-2-2-23-23111−i151+i15−3+i152−3−i152111−i151+i15−3+i152−3−i15200000000000000000088-4-4-2-2-2-2-23-23111−i151+i15−3+i152−3−i152111−i151+i15−3+i152−3−i152000000000000000000
χ3488-4-4-2-2-2-2-23-23111+i151−i15−3−i152−3+i152111+i151−i15−3−i152−3+i15200000000000000000088-4-4-2-2-2-2-23-23111+i151−i15−3−i152−3+i152111+i151−i15−3−i152−3+i15200000000000000000088-4-4-2-2-2-2-23-23111+i151−i15−3−i152−3+i152111+i151−i15−3−i152−3+i152000000000000000000
χ358-88-8-2-2223-2-32-2-233-2-222-3-3220000000000000000008-88-8-2-2223-2-32-2-233-2-222-3-3220000000000000000008-88-8-2-2223-2-32-2-233-2-222-3-322000000000000000000
χ368-88-8-2-222-232-3-2-2-2-2332222-3-30000000000000000008-88-8-2-222-232-3-2-2-2-2332222-3-30000000000000000008-88-8-2-222-232-3-2-2-2-2332222-3-3000000000000000000
χ378-8-448-2-82-2-222-4111114-1-1-1-1-10000000000000000008-8-448-2-82-2-222-4111114-1-1-1-1-10000000000000000008-8-448-2-82-2-222-4111114-1-1-1-1-1000000000000000000
χ388-8-44-282-8-2-2221-41111-14-1-1-1-10000000000000000008-8-44-282-8-2-2221-41111-14-1-1-1-10000000000000000008-8-44-282-8-2-2221-41111-14-1-1-1-1000000000000000000
χ398-8-44-2-2223-2-3211−3−i152−3+i1521−i151+i15-1-13+i1523−i152−1+i15−1−i150000000000000000008-8-44-2-2223-2-3211−3−i152−3+i1521−i151+i15-1-13+i1523−i152−1+i15−1−i150000000000000000008-8-44-2-2223-2-3211−3−i152−3+i1521−i151+i15-1-13+i1523−i152−1+i15−1−i15000000000000000000
χ408-8-44-2-2223-2-3211−3+i152−3−i1521+i151−i15-1-13−i1523+i152−1−i15−1+i150000000000000000008-8-44-2-2223-2-3211−3+i152−3−i1521+i151−i15-1-13−i1523+i152−1−i15−1+i150000000000000000008-8-44-2-2223-2-3211−3+i152−3−i1521+i151−i15-1-13−i1523+i152−1−i15−1+i15000000000000000000
χ418-8-44-2-222-232-3111−i151+i15−3+i152−3−i152-1-1−1+i15−1−i153−i1523+i1520000000000000000008-8-44-2-222-232-3111−i151+i15−3+i152−3−i152-1-1−1+i15−1−i153−i1523+i1520000000000000000008-8-44-2-222-232-3111−i151+i15−3+i152−3−i152-1-1−1+i15−1−i153−i1523+i152000000000000000000
χ428-8-44-2-222-232-3111+i151−i15−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i1520000000000000000008-8-44-2-222-232-3111+i151−i15−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i1520000000000000000008-8-44-2-222-232-3111+i151−i15−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i152000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ441111111111111111111111111111-1-111-1-1-1-11111-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4511111111111111111111111111-1-111111111-1-1-1-1-1-1−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ4611111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ47111111111111111111111111-1-11-1i−i-1-1ii−i−i11-1-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ48111111111111111111111111-1-11-1−ii-1-1−i−iii11-1-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
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χ5122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-1000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ5222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12200-2-2-1-11111000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ5322-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2002i−2i11−i−iii000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43000000
χ5422-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200−2i2i11ii−i−i000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43000000
χ552-22-222-2-222-2-2222222-2-2-2-2-2-22-200002-20000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i30000−1+i31−i30000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i30000−1−i31+i30000000000
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χ6144444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100040000000000-1-100−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32000−2+2i300000000001−i321−i3200−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32000−2−2i300000000001+i321+i3200
χ6244444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1000-400000000001100−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i320002−2i30000000000−1+i32−1+i3200−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i320002+2i30000000000−1−i32−1−i3200
χ634444-14-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1004000000000-1-10000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i3200−2+2i30000000001−i321−i320000−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i3200−2−2i30000000001+i321+i320000
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χ9322-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-1000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ9422-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12200-2-2-1-11111000000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000
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χ972-22-222-2-222-2-2222222-2-2-2-2-2-22-200002-20000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i31+i30000−1−i31+i30000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i31−i30000−1+i31−i30000000000
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χ10344444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100040000000000-1-100−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32000−2−2i300000000001+i321+i3200−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32000−2+2i300000000001−i321−i3200
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χ1268-8-44-2-222-232-3111+i151−i15−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i152000000000000000000−4−4i34+4i32+2i3−2−2i31+i31+i3−1−i3−1−i31+i3−3−3i32−1−i33+3i32−1−i32−1−i322ζ2−2ζ14+2ζ22−2ζ26+2ζ38+2ζ58−2ζ2+2ζ14+2ζ26+2ζ34−2ζ38+2ζ46−ζ2+ζ14−2ζ22+ζ26−ζ34−ζ38−ζ46−2ζ58ζ2−ζ14−ζ22−ζ26−2ζ34+ζ38−2ζ46−ζ581+i321+i32−2ζ2+2ζ14−2ζ22+2ζ26−2ζ38−2ζ582ζ2−2ζ14−2ζ26−2ζ34+2ζ38−2ζ46ζ2−ζ14+2ζ22−ζ26+ζ34+ζ38+ζ46+2ζ58−ζ2+ζ14+ζ22+ζ26+2ζ34−ζ38+2ζ46+ζ58000000000000000000−4+4i34−4i32−2i3−2+2i31−i31−i3−1+i3−1+i31−i3−3+3i32−1+i33−3i32−1+i32−1+i322ζ14−2ζ22+2ζ26+2ζ34+2ζ46−2ζ582ζ2+2ζ22−2ζ34+2ζ38−2ζ46+2ζ58−ζ2−2ζ14+ζ22−2ζ26−ζ34−ζ38−ζ46+ζ58−2ζ2−ζ14−ζ22−ζ26+ζ34−2ζ38+ζ46−ζ581−i321−i32−2ζ14+2ζ22−2ζ26−2ζ34−2ζ46+2ζ58−2ζ2−2ζ22+2ζ34−2ζ38+2ζ46−2ζ58ζ2+2ζ14−ζ22+2ζ26+ζ34+ζ38+ζ46−ζ582ζ2+ζ14+ζ22+ζ26−ζ34+2ζ38−ζ46+ζ58000000000000000000

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