Finite Group Databasebeta

← Group #11748713

Character table — Group #11748713

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222224444444466666666661010101010103030111122222222222244444444666666666610101010101030301111222222222222444444446666666666101010101010303011112222222222224444444466666666661010101010103030
order1222355666101010101010151530303030303022101010101010101044121212124444441220201212122020202020206060606060606060442020202020202020441212121244222261010666101010101010303030303030303022101010101010101044121212124444441220201212122020202020206060606060606060442020202020202020441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i11-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1i−iii−i−ii−i
χ611-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii11-1-11111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1−ii−i−iii−ii
χ711-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii11-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111i−iii−i−i−ii
χ811-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i11-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111−ii−i−iiii−i
χ922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000
χ1122222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000
χ132222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-1002222-122-1-1-1222222-1-1-1-1-1-1-1-1000000000022-1-1-1-100
χ142222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-21111002222-122-1-1-1222222-1-1-1-1-1-1-1-10000000000-2-2111100
χ1522-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ1622-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1722-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1822-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1922-2-2-122-11122-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-11122-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-11122-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii0022-2-2-122-11122-2-2-2-2-1-1-1-1111100000000002i−2i−i−iii00
χ2022-2-2-122-11122-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-11122-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-11122-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i0022-2-2-122-11122-2-2-2-2-1-1-1-111110000000000−2i2iii−i−i00
χ212-22-2222-2-22-2-22-22-222-2-22-22-20000000000000000002-22-2222-2-22-2-22-22-222-2-22-22-20000000000000000002-22-2222-2-22-2-22-22-222-2-22-22-20000000000000000002-22-2222-2-22-2-22-22-222-2-22-22-2000000000000000000
χ222-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−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+ζ58000000002-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−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+ζ58000000002-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−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+ζ58000000002-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200−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+ζ5800000000
χ232-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ14−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−ζ58000000002-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ14−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−ζ58000000002-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ14−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−ζ58000000002-22-22−1−52−1+52-2-221+521−52−1−521+52−1+521−52−1−52−1+521+521−52−1−521+52−1+521−5200ζ14−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−ζ5800000000
χ242-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000002-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000002-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000002-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000000
χ252-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000002-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000002-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000002-22-22−1+52−1−52-2-221−521+52−1+521−52−1−521+52−1+52−1−521−521+52−1+521−52−1−521+5200−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000000
χ262-22-2-12211-1-2-22-22-2-1-111-11-11000000000000−i3i3−i3i3002-22-2-12211-1-2-22-22-2-1-111-11-11000000000000−i3i3−i3i3002-22-2-12211-1-2-22-22-2-1-111-11-11000000000000−i3i3−i3i3002-22-2-12211-1-2-22-22-2-1-111-11-11000000000000−i3i3−i3i300
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χ16444-4-4-2−1+5−1−5-222−1+5−1−51−51−51+51+51−521+521−521+52−1+52−1+52−1−52−1−52000000000000000000−4i−4i4i4i2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592i−2i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000000000-4-44421−51+52-2-21−51+5−1+5−1+5−1−5−1−5−1+52−1−52−1+52−1−521−521−521+521+520000000000000000004i4i−4i−4i−2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2i2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000
χ1654-44-4-2−1−5−1+522-21+51−5−1−51+5−1+51−51+521−52−1−52−1+521+52−1−521−52−1+52000000000000000000−4i4i−4i4i2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2i−2i2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000000000-44-4421+51−5-2-22−1−5−1+51+5−1−51−5−1+5−1−52−1+521+521−52−1−521+52−1+521−520000000000000000004i−4i4i−4i−2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472i2i−2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000
χ1664-44-4-2−1+5−1−522-21−51+5−1+51−5−1−51+51−521+52−1+52−1−521−52−1+521+52−1−52000000000000000000−4i4i−4i4i2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2i−2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000-44-4421−51+5-2-22−1+5−1−51−5−1+51+5−1−5−1+52−1−521−521+52−1+521−52−1−521+520000000000000000004i−4i4i−4i−2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592i2i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000
χ1674-4-44-2−1−5−1+52-221+51−51+5−1−51−5−1+51+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000−4i4i4i−4i2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2i2i−2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000-444-421+51−5-22-2−1−5−1+5−1−51+5−1+51−5−1−52−1+521+521−521+52−1−521−52−1+520000000000000000004i−4i−4i4i−2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472i−2i2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000000000
χ1684-4-44-2−1+5−1−52-221−51+51−5−1+51+5−1−51−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000−4i4i4i−4i2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2i2i−2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000-444-421−51+5-22-2−1+5−1−5−1+51−5−1−51+5−1+52−1−521−521+521−52−1+521+52−1−520000000000000000004i−4i−4i4i−2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592i−2i2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000

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