Finite Group Databasebeta

← Group #14512563

Character table — Group #14512563

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11112244444444555510101010101010101010333366121212121212121215151515303030303030303030304444881616161616161616202020204040404040404040404044448816161616161616162020202040404040404040404040
order12224451010102020202022224444444444222244101010102020202022224444444444366612121530303060606060666612121212121212121212366612121530303060606060666612121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111-1-1-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-1-1-1−i−i−i−iiiii
χ51111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1
χ61111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-111
χ71111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ81111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-1i−i11-1-1ii−i−i1-11-1i−i1-1i−i1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−i1-1i−i1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−i1-1i−i1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−i1-1i−i1-1i−i
χ1011-1-1i−i11-1-1ii−i−i1-11-1i−i-11−ii-11−ii11-1-1i−i11-1-1ii−i−i1-11-1i−i-11−ii-11−ii11-1-1i−i11-1-1ii−i−i1-11-1i−i-11−ii-11−ii11-1-1i−i11-1-1ii−i−i1-11-1i−i-11−ii-11−ii
χ1111-1-1i−i11-1-1ii−i−i-11-11−iii−i-11−ii1-111-1-1i−i11-1-1ii−i−i-11-11−iii−i-11−ii1-111-1-1i−i11-1-1ii−i−i-11-11−iii−i-11−ii1-111-1-1i−i11-1-1ii−i−i-11-11−iii−i-11−ii1-1
χ1211-1-1i−i11-1-1ii−i−i-11-11−ii−ii1-1i−i-1111-1-1i−i11-1-1ii−i−i-11-11−ii−ii1-1i−i-1111-1-1i−i11-1-1ii−i−i-11-11−ii−ii1-1i−i-1111-1-1i−i11-1-1ii−i−i-11-11−ii−ii1-1i−i-11
χ1311-1-1−ii11-1-1−i−iii1-11-1−ii1-1−ii1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii1-1−ii1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii1-1−ii1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii1-1−ii1-1−ii
χ1411-1-1−ii11-1-1−i−iii1-11-1−ii-11i−i-11i−i11-1-1−ii11-1-1−i−iii1-11-1−ii-11i−i-11i−i11-1-1−ii11-1-1−i−iii1-11-1−ii-11i−i-11i−i11-1-1−ii11-1-1−i−iii1-11-1−ii-11i−i-11i−i
χ1511-1-1−ii11-1-1−i−iii-11-11i−ii−i1-1−ii-1111-1-1−ii11-1-1−i−iii-11-11i−ii−i1-1−ii-1111-1-1−ii11-1-1−i−iii-11-11i−ii−i1-1−ii-1111-1-1−ii11-1-1−i−iii-11-11i−ii−i1-1−ii-11
χ1611-1-1−ii11-1-1−i−iii-11-11i−i−ii-11i−i1-111-1-1−ii11-1-1−i−iii-11-11i−i−ii-11i−i1-111-1-1−ii11-1-1−i−iii-11-11i−i−ii-11i−i1-111-1-1−ii11-1-1−i−iii-11-11i−i−ii-11i−i1-1
χ172-22-2002-22-2000022-2-200000000002-22-2002-22-2000022-2-200000000002-22-2002-22-2000022-2-200000000002-22-2002-22-2000022-2-20000000000
χ182-22-2002-22-20000-2-22200000000002-22-2002-22-20000-2-22200000000002-22-2002-22-20000-2-22200000000002-22-2002-22-20000-2-2220000000000
χ192-2-22002-2-2200002-2-2200000000002-2-22002-2-2200002-2-2200000000002-2-22002-2-2200002-2-2200000000002-2-22002-2-2200002-2-220000000000
χ202-2-22002-2-220000-222-200000000002-2-22002-2-220000-222-200000000002-2-22002-2-220000-222-200000000002-2-22002-2-220000-222-20000000000
χ21444444-1-1-1-1-1-1-1-100000000000000444444-1-1-1-1-1-1-1-100000000000000444444-1-1-1-1-1-1-1-100000000000000444444-1-1-1-1-1-1-1-100000000000000
χ224444-4-4-1-1-1-11111000000000000004444-4-4-1-1-1-11111000000000000004444-4-4-1-1-1-11111000000000000004444-4-4-1-1-1-1111100000000000000
χ2344-4-44i−4i-1-111−i−iii0000000000000044-4-44i−4i-1-111−i−iii0000000000000044-4-44i−4i-1-111−i−iii0000000000000044-4-44i−4i-1-111−i−iii00000000000000
χ2444-4-4−4i4i-1-111ii−i−i0000000000000044-4-4−4i4i-1-111ii−i−i0000000000000044-4-4−4i4i-1-111ii−i−i0000000000000044-4-4−4i4i-1-111ii−i−i00000000000000
χ254-44-400-11-11i5−i5i5−i5000000000000004-44-400-11-11i5−i5i5−i5000000000000004-44-400-11-11i5−i5i5−i5000000000000004-44-400-11-11i5−i5i5−i500000000000000
χ264-44-400-11-11−i5i5−i5i5000000000000004-44-400-11-11−i5i5−i5i5000000000000004-44-400-11-11−i5i5−i5i5000000000000004-44-400-11-11−i5i5−i5i500000000000000
χ274-4-4400-111-15−5−55000000000000004-4-4400-111-15−5−55000000000000004-4-4400-111-15−5−55000000000000004-4-4400-111-15−5−5500000000000000
χ284-4-4400-111-1−555−5000000000000004-4-4400-111-1−555−5000000000000004-4-4400-111-1−555−5000000000000004-4-4400-111-1−555−500000000000000
χ2911111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3011111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3111111111111111-1-1-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-1-1-1iiii−i−i−i−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+i321−i321−i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+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−i321+i321+i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ3211111111111111-1-1-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-1-1-1−i−i−i−iiiii−1+i32−1+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−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−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−i321+i321+i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ331111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ341111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ351111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ361111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ3711-1-1i−i11-1-1ii−i−i1-11-1i−i1-1i−i1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−i1-1i−i1-1i−i−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ3811-1-1i−i11-1-1ii−i−i1-11-1i−i-11−ii-11−ii11-1-1i−i11-1-1ii−i−i1-11-1i−i-11−ii-11−ii−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ3911-1-1i−i11-1-1ii−i−i-11-11−iii−i-11−ii1-111-1-1i−i11-1-1ii−i−i-11-11−iii−i-11−ii1-1−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32
χ4011-1-1i−i11-1-1ii−i−i-11-11−ii−ii1-1i−i-1111-1-1i−i11-1-1ii−i−i-11-11−ii−ii1-1i−i-11−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32
χ4111-1-1−ii11-1-1−i−iii1-11-1−ii1-1−ii1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii1-1−ii1-1−ii−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ4211-1-1−ii11-1-1−i−iii1-11-1−ii-11i−i-11i−i11-1-1−ii11-1-1−i−iii1-11-1−ii-11i−i-11i−i−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ4311-1-1−ii11-1-1−i−iii-11-11i−ii−i1-1−ii-1111-1-1−ii11-1-1−i−iii-11-11i−ii−i1-1−ii-11−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i32
χ4411-1-1−ii11-1-1−i−iii-11-11i−i−ii-11i−i1-111-1-1−ii11-1-1−i−iii-11-11i−i−ii-11i−i1-1−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1+i321−i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1−i321+i32
χ452-22-2002-22-2000022-2-200000000002-22-2002-22-2000022-2-20000000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i30000000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i30000000000
χ462-22-2002-22-20000-2-22200000000002-22-2002-22-20000-2-2220000000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i31−i300001−i31−i3−1+i3−1+i30000000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i31+i300001+i31+i3−1−i3−1−i30000000000
χ472-2-22002-2-2200002-2-2200000000002-2-22002-2-2200002-2-220000000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i30000−1+i31−i31−i3−1+i30000000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i30000−1−i31+i31+i3−1−i30000000000
χ482-2-22002-2-220000-222-200000000002-2-22002-2-220000-222-20000000000−1+i31−i31−i3−1+i300−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i30000000000−1−i31+i31+i3−1−i300−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i30000000000
χ49444444-1-1-1-1-1-1-1-100000000000000444444-1-1-1-1-1-1-1-100000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000
χ504444-4-4-1-1-1-11111000000000000004444-4-4-1-1-1-1111100000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000
χ5144-4-44i−4i-1-111−i−iii0000000000000044-4-44i−4i-1-111−i−iii00000000000000−2+2i3−2+2i32−2i32−2i3−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ591−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ5900000000000000−2−2i3−2−2i32+2i32+2i3−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ431+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ4300000000000000
χ5244-4-4−4i4i-1-111ii−i−i0000000000000044-4-4−4i4i-1-111ii−i−i00000000000000−2+2i3−2+2i32−2i32−2i34ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ591−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ5900000000000000−2−2i3−2−2i32+2i32+2i34ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ431+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ4300000000000000
χ534-44-400-11-11i5−i5i5−i5000000000000004-44-400-11-11i5−i5i5−i500000000000000−2+2i32−2i3−2+2i32−2i3001−i32−1+i321−i32−1+i32−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ5900000000000000−2−2i32+2i3−2−2i32+2i3001+i32−1−i321+i32−1−i32ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ4300000000000000
χ544-44-400-11-11−i5i5−i5i5000000000000004-44-400-11-11−i5i5−i5i500000000000000−2+2i32−2i3−2+2i32−2i3001−i32−1+i321−i32−1+i32ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ5900000000000000−2−2i32+2i3−2−2i32+2i3001+i32−1−i321+i32−1−i32−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ4300000000000000
χ554-4-4400-111-15−5−55000000000000004-4-4400-111-15−5−5500000000000000−2+2i32−2i32−2i3−2+2i3001−i32−1+i32−1+i321−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000000000000−2−2i32+2i32+2i3−2−2i3001+i32−1−i32−1−i321+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ5800000000000000
χ564-4-4400-111-1−555−5000000000000004-4-4400-111-1−555−500000000000000−2+2i32−2i32−2i3−2+2i3001−i32−1+i32−1+i321−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000000000000−2−2i32+2i32+2i3−2−2i3001+i32−1−i32−1−i321+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ5800000000000000
χ5711111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5811111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ5911111111111111-1-1-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-1-1-1iiii−i−i−i−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−i321+i321+i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+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−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ6011111111111111-1-1-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-1-1-1−i−i−i−iiiii−1−i32−1−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+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+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−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ611111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ621111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ1016-66-6006-66-6000066-6-60000000000-22-2200-22-220000-2-222000000000000000000000000000000000000000000000000000000000000000000
χ1026-66-6006-66-60000-6-6660000000000-22-2200-22-22000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1036-6-66006-6-6600006-6-660000000000-222-200-222-20000-222-2000000000000000000000000000000000000000000000000000000000000000000
χ1046-6-66006-6-660000-666-60000000000-222-200-222-200002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ105121212121212-3-3-3-3-3-3-3-300000000000000-4-4-4-4-4-4111111110000000000000000000000000000000000000000000000000000000000000000000000
χ10612121212-12-12-3-3-3-3333300000000000000-4-4-4-4441111-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1071212-12-1212i−12i-3-333−3i−3i3i3i00000000000000-4-444−4i4i11-1-1ii−i−i0000000000000000000000000000000000000000000000000000000000000000000000
χ1081212-12-12−12i12i-3-3333i3i−3i−3i00000000000000-4-4444i−4i11-1-1−i−iii0000000000000000000000000000000000000000000000000000000000000000000000
χ10912-1212-1200-33-333i5−3i53i5−3i500000000000000-44-44001-11-1−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212-1200-33-33−3i53i5−3i53i500000000000000-44-44001-11-1i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000000000
χ11112-12-121200-333-335−35−353500000000000000-444-4001-1-11−555−50000000000000000000000000000000000000000000000000000000000000000000000
χ11212-12-121200-333-3−353535−3500000000000000-444-4001-1-115−5−550000000000000000000000000000000000000000000000000000000000000000000000

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