Finite Group Databasebeta

← Group #14301278

Character table — Group #14301278

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222222222222244444444444444444444444444444444444488888888888888888888888888888888888820202020202020202020202024242424242424242424242424242424242424244040404040406060606060606060
order122222344445566666661010101010104444101010101212121215152020202020202020303030303030303030303030303012121212202020202020202060606060606060606060606060606060606060606060606044441212121212121212888840404040404040404040404040404040441212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ811111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ91-1-111-111-11-11111-1-1-1-11-1-111-1-1ii−i−i11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-11-111-1-11-1i−ii−i1-1
χ101-1-111-111-11-11111-1-1-1-11-1-111-1-1ii−i−i11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-111111-111-1-1-11−ii−ii-11
χ111-1-111-111-11-11111-1-1-1-11-1-111-1-1ii−i−i11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiiii−i1-1iiii−i−i−i−i1111-1-1-1-1-11-1-111-11−ii−ii-11
χ121-1-111-111-11-11111-1-1-1-11-1-111-1-1ii−i−i11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii−ii-11−i−i−i−iiiii-1-1-1-11111-11-1-1111-1i−ii−i1-1
χ131-1-111-111-11-11111-1-1-1-11-1-111-1-1−i−iii11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−ii−i-11iiii−i−i−i−i-1-1-1-11111-11-1-1111-1−ii−ii1-1
χ141-1-111-111-11-11111-1-1-1-11-1-111-1-1−i−iii11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i−ii1-1−i−i−i−iiiii1111-1-1-1-1-11-1-111-11i−ii−i-11
χ151-1-111-111-11-11111-1-1-1-11-1-111-1-1−i−iii11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiiii−i-11iiii−i−i−i−i-1-1-1-111111-111-1-1-11i−ii−i-11
χ161-1-111-111-11-11111-1-1-1-11-1-111-1-1−i−iii11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii−ii1-1−i−i−i−iiiii1111-1-1-1-11-111-1-11-1−ii−ii1-1
χ1722222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522222−1−52−1+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+522222−1−52−1−52−1+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+520000000000002222−1−52−1−52−1+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+5200000000000000
χ1822222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522222−1−52−1+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+522222−1−52−1−52−1+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+52000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ1922222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2022222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+522222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2122222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−520000000000002222−1+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+52−1−52−1−5200000000000000
χ2222222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ2322222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522222−1+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+52−1−52-2-2-2-21−521−521+521+521−521−521+521+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+5200000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2422222222222−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−522222−1+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+52−1−52-2-2-2-21−521−521+521+521−521−521+521+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+52000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ252222222-2-2-2-22222222222222222-22-22222-2-2-2-222-2-2-2-2-2-2-2-2222222222222222-22-22-22-22-22-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000
χ262222222-2-2-2-2222222222222222-22-222222-2-2-2-222-2-2-2-2-2-2-2-222222222222222-22-22-22-22-22-22-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000
χ272222222-2-2-2-2−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522-22-2−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+522-22-2−1−521+52−1+521−52−1−521+52−1+521−521+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
χ282222222-2-2-2-2−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522-22-2−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+522-22-2−1−521+52−1+521−52−1−521+52−1+521−521+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
χ292222222-2-2-2-2−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-22-22−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+52-22-221+52−1−521−52−1+521+52−1−521−52−1+521+521+521−521−521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
χ302222222-2-2-2-2−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52-22-22−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+52-22-221+52−1−521−52−1+521+52−1−521−52−1+521+521+521−521−521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
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χ1134-4-444-4-24-44-4−1+5−1−5-2-22222-21−51+5−1+5−1−51−51+54i4i−4i−4i−1+5−1−51−51+5-2-2221−521+52−1+5−1−51−51+5−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−52−2i−2i2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ591−521−521+521+52−1+52−1+52−1−52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000000000000000000000000000000000000000
χ1144-4-444-4-24-44-4−1+5−1−5-2-22222-21−51+5−1+5−1−51−51+5−4i−4i4i4i−1+5−1−51−51+5-2-2221−521+52−1+5−1−51−51+5−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−522i2i−2i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521−521+521+52−1+52−1+52−1−52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000000000000000000000000000000000000000
χ1154-4-444-4-2-44-44−1−5−1+5-2-22222-21+51−5−1−5−1+51+51−54i−4i−4i4i−1−5−1+51+51−522-2-21+521−521+51−5−1−5−1+51+51−5−1−5−1+51+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+52−2i2i2i−2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1−52−1+52−1+521+521+521−521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000000000000000000000
χ1164-4-444-4-2-44-44−1−5−1+5-2-22222-21+51−5−1−5−1+51+51−5−4i4i4i−4i−1−5−1+51+51−522-2-21+521−521+51−5−1−5−1+51+51−5−1−5−1+51+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+522i−2i−2i2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−52−1−52−1+52−1+521+521+521−521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000000000000000000000
χ1174-4-444-4-2-44-44−1+5−1−5-2-22222-21−51+5−1+5−1−51−51+54i−4i−4i4i−1+5−1−51−51+522-2-21−521+521−51+5−1+5−1−51−51+5−1+5−1−51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−52−2i2i2i−2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1+52−1−52−1−521−521−521+521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000000000000000000000000000000000000000
χ1184-4-444-4-2-44-44−1+5−1−5-2-22222-21−51+5−1+5−1−51−51+5−4i4i4i−4i−1+5−1−51−51+522-2-21−521+521−51+5−1+5−1−51−51+5−1+5−1−51−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−522i−2i−2i2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000000000000000000000000000000000000000
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χ1214-4-44-444-4-444−1−5−1+5-4-4-4-44441+51−5−1−5−1+51+51−500001+51−5−1−5−1+5-444-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−50000000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
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χ13588-8-800-40000−2−25−2+25−4i34i3-44−4i34i34−2−25−2+252+252−252+252−250000000000001+51−5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ581+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ461−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-800-40000−2−25−2+254i3−4i3-444i3−4i34−2−25−2+252+252−252+252−250000000000001+51−500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ581+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ461−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-800-40000−2+25−2−25−4i34i3-44−4i34i34−2+25−2−252−252+252−252+250000000000001−51+5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ461−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ581+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-800-40000−2+25−2−254i3−4i3-444i3−4i34−2+25−2−252−252+252−252+250000000000001−51+500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ461−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ581+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-80080000−2−25−2+2500-8800-82+252−252+252−25−2−25−2+25000000000000−2−25−2+250000000000002+25002−25002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-80080000−2+25−2−2500-8800-82−252+252−252+25−2+25−2−25000000000000−2+25−2−250000000000002−25002+25002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-800-40000−2−25−2+25−4i34i34-44i3−4i342+252−252+252−25−2−25−2+250000000000001+51−5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-800-40000−2−25−2+254i3−4i34-4−4i34i342+252−252+252−25−2−25−2+250000000000001+51−500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-800-40000−2+25−2−25−4i34i34-44i3−4i342−252+252−252+25−2+25−2−250000000000001−51+5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-800-40000−2+25−2−254i3−4i34-4−4i34i342−252+252−252+25−2+25−2−250000000000001−51+500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000

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