Finite Group Databasebeta

← Group #14512204

Character table — Group #14512204

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size133333161613333316162666663232266666323226666632322666663232515151515158080515151515158080133333161613333316162666663232266666323226666632322666663232515151515158080515151515158080
order124444332244446651020202020151551020202020151510102020202030301010202020203030444444121244444412122244446622444466101020202020303010102020202030301010202020203030101020202020303044444412124444441212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ3111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00
χ63-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00
χ73-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100
χ83-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100
χ9111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32
χ11111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-311110033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100
χ133-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00
χ143-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00
χ153-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100
χ163-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100
χ1711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ18111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59
χ19111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32iiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32iiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43
χ2033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-31111003i3i−i−i−i−i00−3i−3iiiii0033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-31111003i3i−i−i−i−i00−3i−3iiiii00
χ213-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i003-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i00
χ223-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003i−iii2−i−2−i00−3ii−i−i−2+i2+i003-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003i−iii2−i−2−i00−3ii−i−i−2+i2+i00
χ233-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-1003i−i−2−i2−iii00−3ii2+i−2+i−i−i003-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-1003i−i−2−i2−iii00−3ii2+i−2+i−i−i00
χ243-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003i−i2−i−2−iii00−3ii−2+i2+i−i−i003-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003i−i2−i−2−iii00−3ii−2+i2+i−i−i00
χ2511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ26111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59
χ27111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43iiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43iiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43
χ2833-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100−3i−3iiiii003i3i−i−i−i−i0033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100−3i−3iiiii003i3i−i−i−i−i00
χ293-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i003-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i00
χ303-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00−3ii−i−i−2+i2+i003i−iii2−i−2−i003-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00−3ii−i−i−2+i2+i003i−iii2−i−2−i00
χ313-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100−3ii2+i−2+i−i−i003i−i−2−i2−iii003-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100−3ii2+i−2+i−i−i003i−i−2−i2−iii00
χ323-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100−3ii−2+i2+i−i−i003i−i2−i−2−iii003-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100−3ii−2+i2+i−i−i003i−i2−i−2−iii00
χ332222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000002222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000
χ34222222−1−i3−1+i3222222−1−i3−1+i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ260000000000000000222222−1−i3−1+i3222222−1−i3−1+i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ260000000000000000
χ35222222−1+i3−1−i3222222−1+i3−1−i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ460000000000000000222222−1+i3−1−i3222222−1+i3−1−i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ460000000000000000
χ3666-2-2-2-20066-2-2-2-200−3+352−3+3521−521−521−521−5200−3−352−3−3521+521+521+521+5200−3+352−3+3521−521−521−521−5200−3−352−3−3521+521+521+521+5200000000000000000066-2-2-2-20066-2-2-2-200−3+352−3+3521−521−521−521−5200−3−352−3−3521+521+521+521+5200−3+352−3+3521−521−521−521−5200−3−352−3−3521+521+521+521+52000000000000000000
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χ74111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32
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χ8111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiii
χ82111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59
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χ853-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i00-31-1-11−2i1+2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i00
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χ883-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003i−i2−i−2−iii00−3ii−2+i2+i−i−i00-311+2i1−2i-1-1003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100−3ii−2+i2+i−i−i003i−i2−i−2−iii00
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χ1176-222−2+4i−2−4i00-62-2-22−4i2+4i00−3+3521−52−1+52−1+52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ5800−3−3521+52−1−52−1−52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59003−352−1+521−521−52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58003+352−1−521+521+522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ59000000000000000000-62-2-22−4i2+4i006-222−2+4i−2−4i003−352−1+521−521−52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58003+352−1−521+521+522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ5900−3+3521−52−1+52−1+52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ5800−3−3521+52−1−52−1−52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59000000000000000000
χ1186-222−2−4i−2+4i00-62-2-22+4i2−4i00−3+3521−52−1+52−1+52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ5800−3−3521+52−1−52−1−522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59003−352−1+521−521−52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58003+352−1−521+521+52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59000000000000000000-62-2-22+4i2−4i006-222−2−4i−2+4i003−352−1+521−521−52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58003+352−1−521+521+52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ5900−3+3521−52−1+52−1+52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ5800−3−3521+52−1−52−1−522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59000000000000000000
χ1196-2−2+4i−2−4i2200-622−4i2+4i-2-200−3+3521−52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−1+52−1+5200−3−3521+52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−1−52−1−52003−352−1+52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ581−521−52003+352−1−522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ591+521+52000000000000000000-622−4i2+4i-2-2006-2−2+4i−2−4i22003−352−1+52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ581−521−52003+352−1−522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ591+521+5200−3+3521−52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−1+52−1+5200−3−3521+52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−1−52−1−52000000000000000000
χ1206-2−2−4i−2+4i2200-622+4i2−4i-2-200−3+3521−52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−1+52−1+5200−3−3521+522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59−1−52−1−52003−352−1+52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ581−521−52003+352−1−52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ591+521+52000000000000000000-622+4i2−4i-2-2006-2−2−4i−2+4i22003−352−1+52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ581−521−52003+352−1−52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ591+521+5200−3+3521−52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−1+52−1+5200−3−3521+522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59−1−52−1−52000000000000000000
χ12122222222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000000000000000-2-2-2-2-2-2-2-2222222221+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000000000
χ122222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ381+521+521+521+521+521+52ζ34+ζ46ζ14+ζ261−521−521−521−521−521−52ζ22+ζ58ζ2+ζ380000000000000000-2-2-2-2-2-21+i31−i3222222−1−i3−1+i31+521+521+521+521+521+52ζ34+ζ46ζ14+ζ261−521−521−521−521−521−52ζ22+ζ58ζ2+ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ380000000000000000
χ123222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ581+521+521+521+521+521+52ζ14+ζ26ζ34+ζ461−521−521−521−521−521−52ζ2+ζ38ζ22+ζ580000000000000000-2-2-2-2-2-21−i31+i3222222−1+i3−1−i31+521+521+521+521+521+52ζ14+ζ26ζ34+ζ461−521−521−521−521−521−52ζ2+ζ38ζ22+ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ580000000000000000
χ12466-2-2-2-200-6-6222200−3−352−3−3521+521+521+521+5200−3+352−3+3521−521−521−521−52003+3523+352−1−52−1−52−1−52−1−52003−3523−352−1+52−1+52−1+52−1+52000000000000000000-6-622220066-2-2-2-2003+3523+352−1−52−1−52−1−52−1−52003−3523−352−1+52−1+52−1+52−1+5200−3−352−3−3521+521+521+521+5200−3+352−3+3521−521−521−521−52000000000000000000
χ1256-222−2+4i−2−4i00-62-2-22−4i2+4i00−3−3521+52−1−52−1−52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ5900−3+3521−52−1+52−1+52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58003+352−1−521+521+522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ59003−352−1+521−521−52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58000000000000000000-62-2-22−4i2+4i006-222−2+4i−2−4i003+352−1−521+521+522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ59003−352−1+521−521−52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ5800−3−3521+52−1−52−1−52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ5900−3+3521−52−1+52−1+52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58000000000000000000
χ1266-222−2−4i−2+4i00-62-2-22+4i2−4i00−3−3521+52−1−52−1−522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ5900−3+3521−52−1+52−1+52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58003+352−1−521+521+52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59003−352−1+521−521−52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58000000000000000000-62-2-22+4i2−4i006-222−2−4i−2+4i003+352−1−521+521+52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59003−352−1+521−521−52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ5800−3−3521+52−1−52−1−522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ5900−3+3521−52−1+52−1+52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58000000000000000000
χ1276-2−2+4i−2−4i2200-622−4i2+4i-2-200−3−3521+52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−1−52−1−5200−3+3521−52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−1+52−1+52003+352−1−522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ591+521+52003−352−1+52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ581−521−52000000000000000000-622−4i2+4i-2-2006-2−2+4i−2−4i22003+352−1−522ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ59−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ591+521+52003−352−1+52ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ58ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ581−521−5200−3−3521+52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−1−52−1−5200−3+3521−52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−1+52−1+52000000000000000000
χ1286-2−2−4i−2+4i2200-622+4i2−4i-2-200−3−3521+522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59−1−52−1−5200−3+3521−52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−1+52−1+52003+352−1−52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ591+521+52003−352−1+52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ581−521−52000000000000000000-622+4i2−4i-2-2006-2−2−4i−2+4i22003+352−1−52−2ζ11+ζ14−2ζ19+ζ26−2ζ31+ζ34+ζ46−2ζ592ζ11+ζ14+2ζ19+ζ26+2ζ31+ζ34+ζ46+2ζ591+521+52003−352−1+52ζ2−2ζ7+ζ22−2ζ23+ζ38−2ζ43−2ζ47+ζ58ζ2+2ζ7+ζ22+2ζ23+ζ38+2ζ43+2ζ47+ζ581−521−5200−3−3521+522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59−1−52−1−5200−3+3521−52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−1+52−1+52000000000000000000

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