Finite Group Databasebeta

← Group #14512585

Character table — Group #14512585

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112244444444444444445555668888101010101010101010101216161616161616161616161616161616202020202020202024242424303040404040404040404040404040404040404040406060606060
order12224433566666610101020202020222244121212124444444444215153030303030306060606060606060666666661010202044121212121212121212121212121212121212121224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1iiii−i−i−i−i11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1ii−i−i
χ41111111111111111111111-1-1-1-1111111-1-1−i−i−i−iiiii11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1−i−iii
χ5111111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111
χ6111111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-1-1-1-1
χ7111111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111-1-1-1-111−1−i32−1−i32−1+i32−1+i32-1-1iiii−i−i−i−i1−1−i32−1+i32−1−i32−1−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−i321111-1-11+i321+i321−i321−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59-1ii−i−i
χ8111111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111-1-1-1-111−1−i32−1−i32−1+i32−1+i32-1-1−i−i−i−iiiii1−1−i32−1+i32−1−i32−1−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−i321111-1-11+i321+i321−i321−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59-1−i−iii
χ9111111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111
χ10111111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-1-1-1-1
χ11111111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111-1-1-1-111−1+i32−1+i32−1−i32−1−i32-1-1iiii−i−i−i−i1−1+i32−1−i32−1+i32−1+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+i321111-1-11−i321−i321+i321+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43-1ii−i−i
χ12111111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111-1-1-1-111−1+i32−1+i32−1−i32−1−i32-1-1−i−i−i−iiiii1−1+i32−1−i32−1+i32−1+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+i321111-1-11−i321−i321+i321+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43-1−i−iii
χ131111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-11-11-1
χ141111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11
χ151111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i−i−iii−i−iii1i−i−ii
χ161111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iiiii−i−iii−i−i1−iii−i
χ171111-1-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-11111111+i321+i321−i321−i32-1-111-1-111-1-1-1−1−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+i32-1-111111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-11-1
χ181111-1-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-11111111+i321+i321−i321−i32-1-1-1-111-1-111-1−1−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+i32-1-111111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11-11
χ191111-1-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-1-1-1-1-1111+i321+i321−i321−i3211ii−i−i−i−iii-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111-1-1−1−i32−1−i32−1+i32−1+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591i−i−ii
χ201111-1-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-1-1-1-1-1111+i321+i321−i321−i3211−i−iiiii−i−i-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111-1-1−1−i32−1−i32−1+i32−1+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−iii−i
χ211111-1-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-11111111−i321−i321+i321+i32-1-111-1-111-1-1-1−1+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−i32-1-111111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11-1
χ221111-1-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-11111111−i321−i321+i321+i32-1-1-1-111-1-111-1−1+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−i32-1-111111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11-11
χ231111-1-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-1-1-1-1-1111−i321−i321+i321+i3211ii−i−i−i−iii-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111-1-1−1+i32−1+i32−1−i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431i−i−ii
χ241111-1-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-1-1-1-1-1111−i321−i321+i321+i3211−i−iiiii−i−i-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111-1-1−1+i32−1+i32−1−i32−1−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431−iii−i
χ2522-2-22i−2i-1-121-11-1112-2-22i2i−2i−2i2-22-200i−ii−i2i−2i2-22i−2i2-22i−2i0-1-11-11-111ii−i−iii−i−i1-11-11-11-1000000i−ii−i1-1i−i1-1i−i1-1i−i1-1i−i00000
χ2622-2-22i−2i-1-121-11-1112-2-22i2i−2i−2i2-22-200i−ii−i2i−2i-22−2i2i-22−2i2i0-1-11-11-111ii−i−iii−i−i1-11-11-11-1000000i−ii−i-11−ii-11−ii-11−ii-11−ii00000
χ2722-2-22i−2i-1-121-11-1112-2-22i2i−2i−2i-22-2200i−ii−i−2i2i2i−2i-22−2i2i2-20-1-11-11-111ii−i−iii−i−i-11-11-11-11000000−ii−iii−i-11i−i-11−ii1-1−ii1-100000
χ2822-2-22i−2i-1-121-11-1112-2-22i2i−2i−2i-22-2200i−ii−i−2i2i−2i2i2-22i−2i-220-1-11-11-111ii−i−iii−i−i-11-11-11-11000000−ii−ii−ii1-1−ii1-1i−i-11i−i-1100000
χ2922-2-22i−2i1+i321−i322−1−i321+i32−1+i321−i32−1−i32−1+i322-2-22i2i−2i−2i2-22-200−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ592i−2i2-22i−2i2-22i−2i01+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32000000−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900000
χ3022-2-22i−2i1+i321−i322−1−i321+i32−1+i321−i32−1−i32−1+i322-2-22i2i−2i−2i2-22-200−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ592i−2i-22−2i2i-22−2i2i01+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32000000−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ5900000
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χ3222-2-22i−2i1+i321−i322−1−i321+i32−1+i321−i32−1−i32−1+i322-2-22i2i−2i−2i-22-2200−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−2i2i−2i2i2-22i−2i-2201+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32000000ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i3200000
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χ3522-2-22i−2i1−i321+i322−1+i321−i32−1−i321+i32−1+i32−1−i322-2-22i2i−2i−2i-22-2200−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−2i2i2i−2i-22−2i2i2-201−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32000000ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i32−1+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i32−1−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1+i321−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1−i321+i3200000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.