Finite Group Databasebeta

← Group #14327976

Character table — Group #14327976

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size1111111122222222222222222222222244444444444444444444444444444444446666666688888888888888888888888888888888888810101010101010101212121212121212121212121212121212121212202020202020202020202020242424242424242430303030303030304040404060606060
order122222223556666666101010101010101010101010101044444412121212151520202020202020203030303030303030303030303030444444441212121220202020202020206060606060606060606060606060606060606060606060604444444444442020202020202020202020202020202044441212121212121212202020202020202044444444121212124444
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
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ911111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ1111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1411111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1511111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ1711-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−ii−i1-1ii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1i−i1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1i−ii−i1111-1-1-1-11111-1-1-1-1i−i1-111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ1811-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−ii−i1-1ii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1i−i1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111i−ii−i1111-1-1-1-11111-1-1-1-1−ii-11-1-111−i−iiiii−i−iii−i−i-1-111−i−iii-11−ii-11−ii
χ1911-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−ii−i1-1ii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111i−i1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1−ii−ii-1-1-1-11111-1-1-1-11111i−i1-111-1-1ii−i−i−i−iii−i−iii-1-111−i−iii1-1i−i-11−ii
χ2011-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−ii−i1-1ii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111i−i1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−ii−ii-1-1-1-11111-1-1-1-11111−ii-11-1-111−i−iii−i−iii−i−iii11-1-1ii−i−i-11−ii1-1i−i
χ2111-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−i−ii-11ii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111−ii-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1i−i−ii1111-1-1-1-1-1-1-1-11111−ii-1111-1-1ii−i−iii−i−i−i−iii-1-111ii−i−i-11−ii1-1−ii
χ2211-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−i−ii-11ii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111−ii-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-111i−i−ii1111-1-1-1-1-1-1-1-11111i−i1-1-1-111−i−iiiii−i−i−i−iii11-1-1−i−iii1-1i−i-11i−i
χ2311-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−i−ii-11ii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1−ii-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1−iii−i-1-1-1-111111111-1-1-1-1−ii-1111-1-1ii−i−i−i−iiiii−i−i11-1-1−i−iii-11−ii-11i−i
χ2411-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1i−i−ii-11ii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1−ii-11ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-111−iii−i-1-1-1-111111111-1-1-1-1i−i1-1-1-111−i−iii−i−iiiii−i−i-1-111ii−i−i1-1i−i1-1−ii
χ2511-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−iii−i-11−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111i−i-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-111−iii−i1111-1-1-1-1-1-1-1-11111−ii1-1-1-111ii−i−i−i−iiiii−i−i11-1-1ii−i−i1-1−ii-11−ii
χ2611-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−iii−i-11−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111i−i-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−iii−i1111-1-1-1-1-1-1-1-11111i−i-1111-1-1−i−iii−i−iiiii−i−i-1-111−i−iii-11i−i1-1i−i
χ2711-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−iii−i-11−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1i−i-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-111i−i−ii-1-1-1-111111111-1-1-1-1−ii1-1-1-111ii−i−iii−i−i−i−iii-1-111−i−iii1-1−ii1-1i−i
χ2811-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−iii−i-11−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1i−i-11−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1i−i−ii-1-1-1-111111111-1-1-1-1i−i-1111-1-1−i−iiiii−i−i−i−iii11-1-1ii−i−i-11i−i-11−ii
χ2911-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−ii−ii1-1−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1−ii1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111−ii−ii1111-1-1-1-11111-1-1-1-1i−i-11-1-111ii−i−i−i−iii−i−iii-1-111ii−i−i-11i−i-11i−i
χ3011-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−ii−ii1-1−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1−ii1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−ii−ii1111-1-1-1-11111-1-1-1-1−ii1-111-1-1−i−iii−i−iii−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ3111-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−ii−ii1-1−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111−ii1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111i−ii−i-1-1-1-11111-1-1-1-11111i−i-11-1-111ii−i−iii−i−iii−i−i11-1-1−i−iii-11i−i1-1−ii
χ3211-1-1-111-11111-1-1-111-1-1-1-1-1111111-1-1-1-1−ii−ii1-1−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111−ii1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1i−ii−i-1-1-1-11111-1-1-1-11111−ii1-111-1-1−i−iiiii−i−iii−i−i-1-111ii−i−i1-1−ii-11i−i
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
χ36222222222−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1+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+521−521−5200000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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χ14044-4-4-444-4-2−1+5−1−5-2222-2-221−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+54i−4i−4i4i-44−2i−2i2i2i1−521+521−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000002i−2i2-2−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000000000
χ14144-4-4-444-4-2−1+5−1−5-2222-2-221−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5−4i4i4i−4i-442i2i−2i−2i1−521+521−51−51+51+5−1+5−1+5−1−5−1−51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000000−2i2i2-22ζ7+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−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000000000
χ14244-4-4-444-4-2−1+5−1−5-2222-2-221−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5−4i4i−4i4i4-42i2i−2i−2i1−521+52−1+5−1+5−1−5−1−51−51−51+51+51−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000002i−2i-222ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000000000
χ1434-444-4-44-44−1−5−1+5-4-4444-4-41+51+51−51−51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+50000000000−1−5−1+500000000−1−51+5−1+51−51+51+51−51−51+51−5−1−5−1−5−1+5−1+500004-44-400000000000000000000000000000000000000000000000000000000−1−51+5−1+51−5−1−51+5−1+51−5000000000000000000000000000000000000
χ1444-444-4-44-44−1−5−1+5-4-4444-4-41+51+51−51−51+51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+50000000000−1−5−1+500000000−1−51+5−1+51−51+51+51−51−51+51−5−1−5−1−5−1+5−1+50000-44-44000000000000000000000000000000000000000000000000000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000
χ1454-444-4-44-44−1+5−1−5-4-4444-4-41−51−51+51+51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−50000000000−1+5−1−500000000−1+51−5−1−51+51−51−51+51+51−51+5−1+5−1+5−1−5−1−500004-44-400000000000000000000000000000000000000000000000000000000−1+51−5−1−51+5−1+51−5−1−51+5000000000000000000000000000000000000
χ1464-444-4-44-44−1+5−1−5-4-4444-4-41−51−51+51+51−51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−50000000000−1+5−1−500000000−1+51−5−1−51+51−51−51+51+51−51+5−1+5−1+5−1−5−1−50000-44-44000000000000000000000000000000000000000000000000000000001−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000
χ1474-444-4-44-4-24422-2-2-222-4-4-4-4-4-44-44-444440000000000-2-200000000-22-22222222-2-2-2-20000000000000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000−2i2i−2i2i0000000000000000000000000000
χ1484-444-4-44-4-24422-2-2-222-4-4-4-4-4-44-44-444440000000000-2-200000000-22-22222222-2-2-2-2000000000000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000002i−2i2i−2i0000000000000000000000000000
χ1494-44-444-4-44−1−5−1+5-4-44-4-444−1−51+5−1+51−5−1−5−1+51+51+51−51−5−1−51+5−1+51−50000000000−1−5−1+5000000001+51+51−51−5−1−51+5−1+51−5−1−5−1+5−1−51+5−1+51−54i−4i4i−4i0000000000000000000000000000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000
χ1504-44-444-4-44−1−5−1+5-4-44-4-444−1−51+5−1+51−5−1−5−1+51+51+51−51−5−1−51+5−1+51−50000000000−1−5−1+5000000001+51+51−51−5−1−51+5−1+51−5−1−5−1+5−1−51+5−1+51−5−4i4i−4i4i00000000000000000000000000000000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000
χ1514-44-444-4-44−1+5−1−5-4-44-4-444−1+51−5−1−51+5−1+5−1−51−51−51+51+5−1+51−5−1−51+50000000000−1+5−1−5000000001−51−51+51+5−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+54i−4i4i−4i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000
χ1524-44-444-4-44−1+5−1−5-4-44-4-444−1+51−5−1−51+5−1+5−1−51−51−51+51+5−1+51−5−1−51+50000000000−1+5−1−5000000001−51−51+51+5−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+5−4i4i−4i4i00000000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000
χ1534-44-444-4-4-24422-222-2-24-44-444-4-4-4-44-44-40000000000-2-2000000002222-22-22-2-2-22-22000000000000000000000000000000000000000000004-44-400000000000000000000000000000000-22-22000000000000000000000000
χ1544-44-444-4-4-24422-222-2-24-44-444-4-4-4-44-44-40000000000-2-2000000002222-22-22-2-2-22-2200000000000000000000000000000000000000000000-44-44000000000000000000000000000000002-22-2000000000000000000000000
χ1554-4-44-44-444−1−5−1+5-44-44-44-41+5−1−51−5−1+5−1−5−1+51+51+51−51−51+5−1−51−5−1+50000000000−1−5−1+5000000001+51+51−51−51+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+54i−4i−4i4i0000000000000000000000000000000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000
χ1564-4-44-44-444−1−5−1+5-44-44-44-41+5−1−51−5−1+5−1−5−1+51+51+51−51−51+5−1−51−5−1+50000000000−1−5−1+5000000001+51+51−51−51+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+5−4i4i4i−4i00000000000000000000000000000000000000000000000000002ζ11+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+2ζ4700000000000000000000000000000000000000000000
χ1574-4-44-44-444−1+5−1−5-44-44-44-41−5−1+51+5−1−5−1+5−1−51−51−51+51+51−5−1+51+5−1−50000000000−1+5−1−5000000001−51−51+51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−54i−4i−4i4i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000
χ1584-4-44-44-444−1+5−1−5-44-44-44-41−5−1+51+5−1−5−1+5−1−51−51−51+51+51−5−1+51+5−1−50000000000−1+5−1−5000000001−51−51+51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−5−4i4i4i−4i00000000000000000000000000000000000000000000000000002ζ7+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+2ζ5900000000000000000000000000000000000000000000
χ1594-4-44-44-44-2442-22-22-22-44-4444-4-4-4-4-44-440000000000-2-20000000022222-22-2-2-22-22-2000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000−2i2i2i−2i000000000000000000000000
χ1604-4-44-44-44-2442-22-22-22-44-4444-4-4-4-4-44-440000000000-2-20000000022222-22-2-2-22-22-200000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000002i−2i−2i2i000000000000000000000000
χ1614-4-4-44-4444−1−5−1+5-44-4-44-44−1−5−1−5−1+5−1+51+51−5−1−51+5−1+51−51+51+51−51−50000000000−1−5−1+500000000−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−500004-4-4400000000000000000000000000000000000000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000
χ1624-4-4-44-4444−1−5−1+5-44-4-44-44−1−5−1−5−1+5−1+51+51−5−1−51+5−1+51−51+51+51−51−50000000000−1−5−1+500000000−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−51+51+51−51−50000-444-4000000000000000000000000000000000000000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000
χ1634-4-4-44-4444−1+5−1−5-44-4-44-44−1+5−1+5−1−5−1−51−51+5−1+51−5−1−51+51−51−51+51+50000000000−1+5−1−500000000−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+500004-4-4400000000000000000000000000000000000000000000000000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000
χ1644-4-4-44-4444−1+5−1−5-44-4-44-44−1+5−1+5−1−5−1−51−51+5−1+51−5−1−51+51−51−51+51+50000000000−1+5−1−500000000−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+51−51−51+51+50000-444-4000000000000000000000000000000000000000000000000000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000
χ1654-4-4-44-444-2442-222-22-24444-4-44-44-4-4-4-4-40000000000-2-200000000-22-22-2-2-2-22222220000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ1664-4-4-44-444-2442-222-22-24444-4-44-44-4-4-4-4-40000000000-2-200000000-22-22-2-2-2-2222222000000000000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ1678-888-8-88-8-4−2−25−2+2544-4-4-4442+252+252−252−252+252−25−2−252+25−2+252−25−2−25−2−25−2+25−2+2500000000001+51−5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-888-8-88-8-4−2+25−2−2544-4-4-4442−252−252+252+252−252+25−2+252−25−2−252+25−2+25−2+25−2−25−2−2500000000001−51+5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1698-88-888-8-8-4−2−25−2+2544-444-4-4−2−252+25−2+252−25−2−25−2+252+252+252−252−25−2−252+25−2+252−2500000000001+51−500000000−1−5−1−5−1+5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1708-88-888-8-8-4−2+25−2−2544-444-4-4−2+252−25−2−252+25−2+25−2−252−252−252+252+25−2+252−25−2−252+2500000000001−51+500000000−1+5−1+5−1−5−1−51−5−1+51+5−1−51−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-8-88-88-88-4−2−25−2+254-44-44-442+25−2−252−25−2+25−2−25−2+252+252+252−252−252+25−2−252−25−2+2500000000001+51−500000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1728-8-88-88-88-4−2+25−2−254-44-44-442−25−2+252+25−2−25−2+25−2−252−252−252+252+252−25−2+252+25−2−2500000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-8-8-88-888-4−2−25−2+254-444-44-4−2−25−2−25−2+25−2+252+252−25−2−252+25−2+252−252+252+252−252−2500000000001+51−5000000001+5−1−51−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-8-8-88-888-4−2+25−2−254-444-44-4−2+25−2+25−2−25−2−252−252+25−2+252−25−2−252+252−252−252+252+2500000000001−51+5000000001−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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