Finite Group Databasebeta

← Group #14495154

Character table — Group #14495154

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size11112222222222222244444444444444444444446666888888888888888888888888888881010101010101212121212121212121212121212161616161616161620202020202020202020202020242424242424242424242424303030303030404040406060606060
order12223445566610101010101022244466121215152020202030303030303044446610101010101012121220202020202030303030606060606060606044444422444420202020202020203030303060606060244441212121212121212101010102020202020202020444444612121224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111
χ51111111111111111111-1-11-1-111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-111111111111111-1-1111-11-1-1-111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1
χ61111111111111111111-1-11-1-111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1111111111111-1-111-1-11-11-1-1-111111111-1-1-1-1-1-1-1-11-11-11-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111
χ71111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111111111111111-1-111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1111
χ81111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111111111111-1-111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-11111-1-111111111-1-111-1-111-1-1-1
χ9111111111111111111-11-1-11-1-1-11111111111111111111-1-1-111-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-11111111111-1-111-1-11-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111-1-1-1-1-11-1-1
χ10111111111111111111-11-1-11-1-1-11111111111111111111-1-1-111-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111111111-1-111-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111-111
χ11111111111111111111-11-1-11-1-1-111111111111111-1-1-1-11-1-1-111-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-111-11-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-111-1-1111111-1-11111-1-111-1-1-1-1-1-11-1-1-111-111
χ12111111111111111111-11-1-11-1-1-111111111111111-1-1-1-11-1-1-111-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1111-1-11-1-1
χ13111111111111111111-1-11-1-11-1-1111111111111111111-11-1-1-1-111-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-11-1111111111-1-111-1-111-1-11-11111111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1-1-1-111
χ14111111111111111111-1-11-1-11-1-1111111111111111111-11-1-1-1-111-11-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-1111111111-1-111-1-11111-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-111111-1-1
χ15111111111111111111-1-11-1-11-1-111111111111111-1-1-1-1-11-1-1-1-111-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11111111-1-11111-1-11111-1-1-1-1-1-111-11-1-1111-1-1
χ16111111111111111111-1-11-1-11-1-111111111111111-1-1-1-1-11-1-1-1-111-11-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-1-1-1-1111111-1-11111-1-11111-1-11-111-1-1-111
χ1711111-1-11111111111111-1-1-1111-1-111-1-1-1-111111111-1-11-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111111-1-1-1-111-11-1-11-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-11-1
χ1811111-1-11111111111111-1-1-1111-1-111-1-1-1-111111111-1-11-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1111111-1-1-1-1111-111-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-111-11
χ1911111-1-11111111111111-1-1-1111-1-111-1-1-1-1111111-1-1111-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-1-1-111-1-1-1-111-11-1-11-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-111-11
χ2011111-1-11111111111111-1-1-1111-1-111-1-1-1-1111111-1-1111-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-1111-111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111-11-1-11-1
χ2111111-1-1111111111111-11-11-111-1-111-1-1-1-111111111-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-111-11-11
χ2211111-1-1111111111111-11-11-111-1-111-1-1-1-111111111-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-111-1-11-1-11-11-1
χ2311111-1-1111111111111-11-11-111-1-111-1-1-1-1111111-1-111-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-11-11-11-1
χ2411111-1-1111111111111-11-11-111-1-111-1-1-1-1111111-1-111-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-111-1-1-1-11-11-11-11
χ2511111-1-111111111111-1111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-111-1-11-1-11
χ2611111-1-111111111111-1111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-111111111-1-1-1-111-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-1-111-111-1
χ2711111-1-111111111111-1111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-111-11-111-1
χ2811111-1-111111111111-1111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-111111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-11-1-11
χ2911111-1-111111111111-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11-11-1-1111-1
χ3011111-1-111111111111-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-11-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-111-1-1-11
χ3111111-1-111111111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-11-1-1-11
χ3211111-1-111111111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-11-11-1111-1
χ332222222−1−52−1+52222−1−52−1+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+52222222−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52000000222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000
χ342222222−1−52−1+52222−1−52−1+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+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52000000-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000001+521−521+521−521+521−521+521−521+521−521+521−52000000000000000
χ352222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2−1−52−1+521+521−521+521−52-2-22−1−52−1+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+520000002-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000000−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000
χ362222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-22-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+521+521−521+521−52-2-22−1−52−1+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+52000000-22-22221+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−5200000000000001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000
χ372222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-22-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222-21+521−52−1−52−1+521+521−522-2-21+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-22-2-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000000000001+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000
χ382222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-22-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22-21+521−52−1−52−1+521+521−522-2-21+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000002-222-221+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000
χ392222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-22-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-221+521−521+521−52−1−52−1+52-22-21+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2-2-22-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200000000000001+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000
χ402222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-22-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-221+521−521+521−52−1−52−1+52-22-21+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000222-22-21+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000000−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000
χ412222222−1+52−1−52222−1+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+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000
χ422222222−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000
χ432222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2−1+52−1−521−521+521−521+52-2-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000002-22-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000
χ442222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−521−521+521−521+52-2-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-22-22221−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+5200000000000001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000
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χ1358-88-8-400−2−25−2+25-4442+252−252+25−2−252−25−2+250000004i3−4i3001+51−50000−1−5−1+5−1−51+5−1+51−5000000000000000000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-8-400−2+25−2−25-4442−252+252−25−2+252+25−2−25000000−4i34i3001−51+50000−1+5−1−5−1+51−5−1−51+50000000000000000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-8-400−2+25−2−25-4442−252+252−25−2+252+25−2−250000004i3−4i3001−51+50000−1+5−1−5−1+51−5−1−51+5000000000000000000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-48i−8i−2−25−2+254-44−2−25−2+252+252+252−252−2500000000−4i4i1+51−5−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ471+51−5−1−5−1−5−1+5−1+500000000000000000000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-8-88-48i−8i−2+25−2−254-44−2+25−2−252−252−252+252+2500000000−4i4i1−51+5−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ591−51+5−1+5−1+5−1−5−1−500000000000000000000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-8-88-4−8i8i−2−25−2+254-44−2−25−2+252+252+252−252−25000000004i−4i1+51−54ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ471+51−5−1−5−1−5−1+5−1+50000000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-88-4−8i8i−2+25−2−254-44−2+25−2−252−252−252+252+25000000004i−4i1−51+54ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ591−51+5−1+5−1+5−1−5−1−50000000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000

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