Finite Group Databasebeta

← Group #14299632

Character table — Group #14299632

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222222222222244444444444444444444444444444444444488888888888888888888888888888888888820202020202020202020202024242424242424242424242424242424242424244040404040406060606060606060
order12222234444556661010101010101212121244446610101010121215152020202020202020303030303030606060606060606012121212202020202020202030303030606060606060606060606060606060606060606044441212121212121212448820202020202020204040404040404040882424242444444444
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
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111
χ91-1-111-11-1-111111-1-111-1-1-1-1-1-111i−ii−i1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-11-111-1-1i−ii−i11-1-1
χ101-1-111-11-1-111111-1-111-1-1-1-1-1-111i−ii−i1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1iiiiiiii−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−ii−ii-1-111
χ111-1-111-11-1-111111-1-111-1-1-1-1-1-111i−ii−i1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1iiiiiiii−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−ii−ii-1-111
χ121-1-111-11-1-111111-1-111-1-1-1-1-1-111i−ii−i1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii−ii-11−i−i−i−iiiii-1-1-1-11111-11-1-111i−ii−i11-1-1
χ131-1-111-11-1-111111-1-111-1-1-1-1-1-111−ii−ii1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−ii−i-11iiii−i−i−i−i-1-1-1-11111-11-1-111−ii−ii11-1-1
χ141-1-111-11-1-111111-1-111-1-1-1-1-1-111−ii−ii1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i−ii1-1−i−i−i−iiiii1111-1-1-1-1-11-1-111i−ii−i-1-111
χ151-1-111-11-1-111111-1-111-1-1-1-1-1-111−ii−ii1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiiii−i-11iiii−i−i−i−i-1-1-1-111111-111-1-1i−ii−i-1-111
χ161-1-111-11-1-111111-1-111-1-1-1-1-1-111−ii−ii1-111-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii−ii1-1−i−i−i−iiiii1111-1-1-1-11-111-1-1−ii−ii11-1-1
χ1722222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+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+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+5222−1−52−1+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+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-222−1−52−1+52−1−52−1+5222−1−52−1+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+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-222−1−52−1+52−1−52−1+5222−1−52−1+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+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−5222−1+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+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−5222−1+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+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-222−1+52−1−52−1+52−1−5222−1+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+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-222−1+52−1−52−1+52−1−5222−1+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
χ252222222-2-2-2-222222222222-2-2-2-20000222222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000002222-2-2-2-200000000000000000000000000000000000000000000000000000000002-22-2
χ262222222-2-2-2-222222222222-2-2-2-20000222222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000002222-2-2-2-20000000000000000000000000000000000000000000000000000000000-22-22
χ27222222-1222222-1-1-1222222-1-1-1-12222-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-100000000
χ28222222-1222222-1-1-1222222-1-1-1-12222-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000000000-2-2111100000000
χ29222222-1222222-1-1-1222222-1-1-1-1-2-2-2-2-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-100000000000000000000-2-2111100000000
χ30222222-1222222-1-1-1222222-1-1-1-1-2-2-2-2-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2111111110000000000000000000022-1-1-1-100000000
χ312222-2-222-22-222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-22-22-222222222-2-2-2-2-2-2-2-22-22-22222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000
χ322222-2-222-22-222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-22-22-222222222-2-2-2-2-2-2-2-2-22-22-2-2-2-22222-2-2-2-22222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000
χ332222-2-222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-21+521−521+521−5222−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+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−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000
χ342222-2-222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-2-21+521−521+521−5222−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000
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χ362222-2-222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-222-2-21+521−521+521−5222−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000
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χ1134-4-444-4-244-4-444-22244-4-4-4-4-2-2220000-2244-4-42-2-2-2-4-44444-4-4-2-222222222-2-2-2-2000000000000-2-22222-2-200000000000000000000000000000000000000000000000000000000000000
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χ1184-4-444-4-2-4-444−1−5−1+5-222−1−5−1+51+51−51+51−522-2-24i−4i4i−4i-22−1−5−1+51+51−5-221+521−52−1−5−1+51+51+51−51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−2i−2i2i2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1+521+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000000000000000000000
χ1194-4-444-4-2-4-444−1−5−1+5-222−1−5−1+51+51−51+51−522-2-2−4i4i−4i4i-22−1−5−1+51+51−5-221+521−52−1−5−1+51+51+51−51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522i2i−2i−2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1+521+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000000000000000000000
χ1204-4-444-4-2-4-444−1+5−1−5-222−1+5−1−51−51+51−51+522-2-24i−4i4i−4i-22−1+5−1−51−51+5-221−521+52−1+5−1−51−51−51+51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−2i−2i2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1−521−521+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
χ1214-4-444-4-2-4-444−1+5−1−5-222−1+5−1−51−51+51−51+522-2-2−4i4i−4i4i-22−1+5−1−51−51+5-221−521+52−1+5−1−51−51−51+51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522i2i−2i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1−521−521+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
χ1224-4-44-4444-4-44−1−5−1+54-4-4−1−5−1+51+51−51+51−5-4-4440000-441+51−5−1−5−1+5-44−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000001+51−5−1−5−1+51+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1234-4-44-4444-4-44−1+5−1−54-4-4−1+5−1−51−51+51−51+5-4-4440000-441−51+5−1+5−1−5-44−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000001−51+5−1+5−1−51−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000
χ1244-4-44-44-24-4-4444-22244-4-4-4-422-2-200002-2-4-4442-2-2-2444-44-4-4-4-2-22222-2-2-2-2222200000000000022-2-222-2-200000000000000000000000000000000000000000000000000000000000000
χ1254-4-44-44-24-4-44−1−5−1+5-222−1−5−1+51+51−51+51−522-2-200002-21+51−5−1−5−1+52-21+521−52−1−5−1+5−1−51+5−1+51−51+51−51+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−52−1−52−1+521+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000000000000000000000000000000000000
χ1264-4-44-44-24-4-44−1−5−1+5-222−1−5−1+51+51−51+51−522-2-200002-21+51−5−1−5−1+52-21+521−52−1−5−1+5−1−51+5−1+51−51+51−51+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−52−1−52−1+521+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000000000000000000000000000000000000
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χ1284-4-44-44-24-4-44−1+5−1−5-222−1+5−1−51−51+51−51+522-2-200002-21−51+5−1+5−1−52-21−521+52−1+5−1−5−1+51−5−1−51+51−51+51−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+52−1+52−1−521−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000000000000000
χ1294-4-44-44-2-444-4−1−5−1+5-222−1−5−1+51+51−51+51−5-2-2224i−4i−4i4i2-21+51−5−1−5−1+5-221+521−521+51−51+5−1−51−5−1+5−1−5−1+51+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i2i−2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1+521+521−521+521−52−1−52−1+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
χ1304-4-44-44-2-444-4−1−5−1+5-222−1−5−1+51+51−51+51−5-2-222−4i4i4i−4i2-21+51−5−1−5−1+5-221+521−521+51−51+5−1−51−5−1+5−1−5−1+51+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i−2i2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−1−52−1+521+521−521+521−52−1−52−1+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
χ1314-4-44-44-2-444-4−1+5−1−5-222−1+5−1−51−51+51−51+5-2-2224i−4i−4i4i2-21−51+5−1+5−1−5-221−521+521−51+51−5−1+51+5−1−5−1+5−1−51−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i2i−2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+521−521+52−1+52−1−52ζ7+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
χ1324-4-44-44-2-444-4−1+5−1−5-222−1+5−1−51−51+51−51+5-2-222−4i4i4i−4i2-21−51+5−1+5−1−5-221−521+521−51+51−5−1+51+5−1−5−1+5−1−51−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−2i2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+521−521+52−1+52−1−52−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
χ13388-8-80080000−2−25−2+25-88-82+252−25−2−25−2+252+252−250000000000000000−2−25−2+25000000002+252−25−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13588-8-800-40000−2−25−2+254-442+252−25−2−25−2+252+252−2543−4343−430000000000001+51−500000000−1−5−1+51+5−1−51−5−1+5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-800-40000−2−25−2+254-442+252−25−2−25−2+252+252−25−4343−43430000000000001+51−500000000−1−5−1+51+5−1−51−5−1+52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-800-40000−2+25−2−254-442−252+25−2+25−2−252−252+2543−4343−430000000000001−51+500000000−1+5−1−51−5−1+51+5−1−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-800-40000−2+25−2−254-442−252+25−2+25−2−252−252+25−4343−43430000000000001−51+500000000−1+5−1−51−5−1+51+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-80080000−2−25−2+25-8-882+252−252+252−25−2−25−2+250000000000000000−2−25−2+25000000002+252−252+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-80080000−2+25−2−25-8-882−252+252−252+25−2+25−2−250000000000000000−2+25−2−25000000002−252+252−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-800-40000−2−25−2+2544-42+252−252+252−25−2−25−2+2543−43−43430000000000001+51−500000000−1−5−1+5−1−51+5−1+51−52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-800-40000−2−25−2+2544-42+252−252+252−25−2−25−2+25−434343−430000000000001+51−500000000−1−5−1+5−1−51+5−1+51−5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-800-40000−2+25−2−2544-42−252+252−252+25−2+25−2−2543−43−43430000000000001−51+500000000−1+5−1−5−1+51−5−1−51+5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-800-40000−2+25−2−2544-42−252+252−252+25−2+25−2−25−434343−430000000000001−51+500000000−1+5−1−5−1+51−5−1−51+52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000

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