Finite Group Databasebeta

← Group #13086931

Character table — Group #13086931

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
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order1222333344556666666666661010101010102020202020202020121212121212121215151515151515153030303030303030303030303030303030303030303030306060606060606060606060606060606060606060606060606060606060606060224410101010101010102020202020202020441212121212121212121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-1
χ611111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11
χ711111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11
χ811111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1111111111-1
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χ1304-44-4-2-2-240044222-4222-4-2-2-24-44-44-4-40000000000000000-2-2-24-2-2-242-22-22-2-442-22-22-2-44222-4222-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-4-2-2-2400−1−5−1+5222-4222-4-2-2-241+5−1−51−5−1+51+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000001+521+521+52−1−51−521−521−52−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000
χ1324-44-4-2-2-2400−1−5−1+5222-4222-4-2-2-241+5−1−51−5−1+51+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000001+521+521+52−1−51−521−521−52−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000
χ1334-44-4-2-2-2400−1+5−1−5222-4222-4-2-2-241−5−1+51+5−1−51−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000001−521−521−52−1+51+521+521+52−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000000000000000
χ1344-44-4-2-2-2400−1+5−1−5222-4222-4-2-2-241−5−1+51+5−1−51−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000001−521−521−52−1+51+521+521+52−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000000000000000
χ1354-4-444-2-2-24-4−1−5−1+5-42224-2-2-2-42221+51+51−51−5−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+54-4-22-22-22−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−520000000000000000000000000000000000000000
χ1364-4-444-2-2-24-4−1+5−1−5-42224-2-2-2-42221−51−51+51+5−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−54-4-22-22-22−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+520000000000000000000000000000000000000000
χ1374-4-444-2-2-2-44−1−5−1+5-42224-2-2-2-42221+51+51−51−5−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5-442-22-22-2−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−51+521+521+52−1+51−521−521−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+520000000000000000000000000000000000000000
χ1384-4-444-2-2-2-44−1+5−1−5-42224-2-2-2-42221−51−51+51+5−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5-442-22-22-2−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+51−521−521−52−1−51+521+521+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−520000000000000000000000000000000000000000
χ1394-4-44-24-2-24-4−1−5−1+52-422-24-2-22-4221+51+51−51−5−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+5-224-4-22-221+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+52−1−51+521+521−52−1+51−521−521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−520000000000000000000000000000000000000000
χ1404-4-44-24-2-24-4−1+5−1−52-422-24-2-22-4221−51−51+51+5−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−5-224-4-22-221−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+520000000000000000000000000000000000000000
χ1414-4-44-24-2-2-44−1−5−1+52-422-24-2-22-4221+51+51−51−5−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−52-2-442-22-21+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+52−1−51+521+521−52−1+51−521−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+520000000000000000000000000000000000000000
χ1424-4-44-24-2-2-44−1+5−1−52-422-24-2-22-4221−51−51+51+5−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+52-2-442-22-21−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−52−1+51−521−521+52−1−51+521+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−520000000000000000000000000000000000000000
χ1434-4-44-2-24-24-4−1−5−1+522-42-2-24-222-421+51+51−51−5−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+5-22-224-4-221+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+52−1−51+521−521−52−1+51−521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−520000000000000000000000000000000000000000
χ1444-4-44-2-24-24-4−1+5−1−522-42-2-24-222-421−51−51+51+5−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−5-22-224-4-221−521−52−1+51−521+521+52−1−51+52−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−521−521−52−1+51−521+521+52−1−51+521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+520000000000000000000000000000000000000000
χ1454-4-44-2-24-2-44−1−5−1+522-42-2-24-222-421+51+51−51−5−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−52-22-2-442-21+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+521+521+52−1−51+521−521−52−1+51−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+520000000000000000000000000000000000000000
χ1464-4-44-2-24-2-44−1+5−1−522-42-2-24-222-421−51−51+51+5−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+52-22-2-442-21−521−52−1+51−521+521+52−1−51+52−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−521−521−52−1+51−521+521+52−1−51+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−520000000000000000000000000000000000000000
χ1474-4-44-2-2-244-4−1−5−1+5222-4-2-2-24222-41+51+51−51−5−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+5-22-22-224-41+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−51+521+521+52−1−51−521−521−52−1+51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+50000000000000000000000000000000000000000
χ1484-4-44-2-2-244-4−1+5−1−5222-4-2-2-24222-41−51−51+51+5−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−5-22-22-224-41−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+51−521−521−52−1+51+521+521+52−1−51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−50000000000000000000000000000000000000000
χ1494-4-44-2-2-24-44−1−5−1+5222-4-2-2-24222-41+51+51−51−5−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−52-22-22-2-441+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−51+521+521+52−1−51−521−521−52−1+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−50000000000000000000000000000000000000000
χ1504-4-44-2-2-24-44−1+5−1−5222-4-2-2-24222-41−51−51+51+5−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+52-22-22-2-441−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+51−521−521−52−1+51+521+521+52−1−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+50000000000000000000000000000000000000000

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