Finite Group Databasebeta

← Group #14329809

Character table — Group #14329809

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size1111111122222222222222222222222244444444444444444444444444444444446666666688888888888888888888888888888888888810101010101010101212121212121212121212121212121212121212202020202020202020202020242424242424242430303030303030304040404060606060
order122222223556666666101010101010101010101010101044444412121212151520202020202020203030303030303030303030303030222244441212121220202020202020206060606060606060606060606060606060606060606060604444444444441010101010101010202020202020202044441212121212121212202020202020202044444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111
χ1311111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ1511111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1611111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ1711-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ1811-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ1911-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iiii−ii−i−ii−ii
χ2011-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-11-11-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i
χ2111-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-1-11-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i1-1-111111-1-1-1-1-1-1-1-11111−ii−iiii−i−iii−i−i11-1-1-1-111ii−i−i−i−iii−ii−iii−i−ii
χ2211-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-1-11-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii1-1-111111-1-1-1-1-1-1-1-11111i−ii−i−i−iii−i−iii11-1-1-1-111−i−iiiii−i−ii−ii−i−iii−i
χ2311-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-1-11-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-111-1-1-1-1-111111111-1-1-1-1−ii−iiii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i−ii−ii−iii−i
χ2411-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-111111-1-11-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii-111-1-1-1-1-111111111-1-1-1-1i−ii−i−i−iii−i−iii-1-11111-1-1ii−i−i−i−iiii−ii−ii−i−ii
χ2511-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-11-111111-1-1-1-11111-1-1-1-1i−i−iiii−i−i−i−iii-1-111-1-111ii−i−i−i−iiii−i−ii−iii−i
χ2611-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-11-111111-1-1-1-11111-1-1-1-1−iii−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i−iii−ii−i−ii
χ2711-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-11-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-111-1-1−i−iiiii−i−ii−i−iii−i−ii
χ2811-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-11-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii−iii−i−iii−i
χ2911-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-111-11111-1-1-1-1-1-1-1-11111−iii−iii−i−i−i−iii-1-11111-1-1ii−i−iii−i−i−iii−i−ii−ii
χ3011-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-111-11111-1-1-1-1-1-1-1-11111i−i−ii−i−iiiii−i−i-1-11111-1-1−i−iii−i−iiii−i−iii−ii−i
χ3111-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii1-1-11-1-1-1-111111111-1-1-1-1−iii−iii−i−i−i−iii11-1-1-1-111−i−iii−i−iii−iii−ii−ii−i
χ3211-111-1-1-111111-11-1-1-111-1-1-1-1-1-1-1-11111-11-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i1-1-11-1-1-1-111111111-1-1-1-1i−i−ii−i−iiiii−i−i11-1-1-1-111ii−i−iii−i−ii−i−ii−ii−ii
χ33222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ34222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000001+521−521+521−521+521−521+521−520000000000000000
χ35222222222−1−52−1+522222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22222−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+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+521−521−520000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
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χ1604-4-4-4444-4-2−1−5−1+522-2-222-21+51−51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51−5−1+5000000−2i32i32i3−2i31+521−522ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1−52−1+52−1+52−1−521+521+52−1−52−1+521−521−52−1+521+521−5200000000000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−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−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ580000000000000000000000000000000000000000000000000000000000000000
χ1614-4-4-4444-4-2−1−5−1+522-2-222-21+51−51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51−5−1+50000002i3−2i3−2i32i31+521−52−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−52−1−52−1+52−1+52−1−521+521+52−1−52−1+521−521−52−1+521+521−5200000000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+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−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ580000000000000000000000000000000000000000000000000000000000000000
χ1624-4-4-4444-4-2−1−5−1+522-2-222-21+51−51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51−5−1+50000002i3−2i3−2i32i31+521−522ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1−52−1+52−1+52−1−521+521+52−1−52−1+521−521−52−1+521+521−5200000000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−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+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ580000000000000000000000000000000000000000000000000000000000000000
χ1634-4-4-4444-4-2−1+5−1−522-2-222-21−51+51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51+5−1−5000000−2i32i32i3−2i31−521+522ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+52−1−52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521+5200000000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−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−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−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−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ460000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-4444-4-2−1+5−1−522-2-222-21−51+51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51+5−1−5000000−2i32i32i3−2i31−521+52−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+52−1−52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521+5200000000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+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+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−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ460000000000000000000000000000000000000000000000000000000000000000
χ1654-4-4-4444-4-2−1+5−1−522-2-222-21−51+51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51+5−1−50000002i3−2i3−2i32i31−521+522ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+52−1−52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521+5200000000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+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+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ460000000000000000000000000000000000000000000000000000000000000000
χ1664-4-4-4444-4-2−1+5−1−522-2-222-21−51+51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51+5−1−50000002i3−2i3−2i32i31−521+52−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+52−1−52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521+5200000000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−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+ζ46−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+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ460000000000000000000000000000000000000000000000000000000000000000
χ167888-8-88-8-8-4−2−25−2+25-44-44-444−2−25−2+25−2−25−2−252+252+25−2+25−2+252−252−252+252+252−252−2500000000001+51−5000000001+5−1−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ168888-8-88-8-8-4−2+25−2−25-44-44-444−2+25−2−25−2+25−2+252−252−25−2−25−2−252+252+252−252−252+252+2500000000001−51+5000000001−5−1+51+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16988-8-8-8-888-4−2−25−2+25-44444-4-4−2−25−2+252+252+25−2−25−2−252−252−25−2+25−2+252+252+252−252−2500000000001+51−5000000001+5−1−51−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17088-8-8-8-888-4−2+25−2−25-44444-4-4−2+25−2−252−252−25−2+25−2+252+252+25−2−25−2−252−252−252+252+2500000000001−51+5000000001−5−1+51+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-888-8-88-8-4−2−25−2+254-444-44-42+252−25−2−252+25−2−252+25−2+252−25−2+252−25−2−252+25−2+252−2500000000001+51−500000000−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1728-888-8-88-8-4−2+25−2−254-444-44-42−252+25−2+252−25−2+252−25−2−252+25−2−252+25−2+252−25−2−252+2500000000001−51+500000000−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-8-88-88-88-4−2−25−2+254-4-444-442+252−252+25−2−252+25−2−252−25−2+252−25−2+25−2−252+25−2+252−2500000000001+51−500000000−1−51+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-8-88-88-88-4−2+25−2−254-4-444-442−252+252−25−2+252−25−2+252+25−2−252+25−2−25−2+252−25−2−252+2500000000001−51+500000000−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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