Finite Group Databasebeta

← Group #14454376

Character table — Group #14454376

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size1111222222222222222222222244444444444444444444444444444466888888888888888888888888888888888888888121212121212121212121212121212121212121212242424242424242424404040406060606080808080120120
order122234455666101010101010202020202020202024881212151530303030303040404040404040406060606060606060446810101220202424242430303030404040406060606012012012012012012012012012012012012012012012012024488101010102020202040404040404040408202020204040404024442244612121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111111-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-11-1
χ61111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111111-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11-11
χ71111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-111-1-11-11-1-11
χ81111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111-1-111-11-111-1
χ911111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1
χ1011111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ1111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-111-1-111
χ1211111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11111-1-111-1-1
χ1311111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111-11-1-1-1111-1-11-11
χ1411111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-11-1111-1-1-111-11-1
χ1511111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-111111111-11111-1-1-1-11-11-111-1-11-1-111-1
χ1611111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-11-11-1-111-111-1-11
χ172222222−1−52−1+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+52222222−1−52−1+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+522222−1−52−1+522−1−52−1+522222−1−52−1−52−1+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+5222222−1−52−1−52−1+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ182222222−1−52−1+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+52222222−1−52−1+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+52-2-222−1−52−1+522−1−52−1+522222−1−52−1−52−1+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+52-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52-21+521+521−521−521+521+521−521−5200000000000000
χ192222222−1−52−1+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+5222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2−1−52−1+522−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ202222222−1−52−1+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+5222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2−1−52−1+522−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ212222222−1−52−1+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+52-2-22222−1−52−1+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+5222-2-21+521−52-21+521−5222-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000000000
χ222222222−1−52−1+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+52-2-22222−1−52−1+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+52-2-2-2-21+521−52-21+521−5222-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ232222222−1−52−1+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+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-221+521−52-21+521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ242222222−1−52−1+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+52-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-221+521−52-21+521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ252222222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−522222−1+52−1−522−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ262222222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52-2-222−1+52−1−522−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52-21−521−521+521+521−521−521+521+5200000000000000
χ272222222−1+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+52−1−52−1−5222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2−1+52−1−522−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ282222222−1+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+52−1−52−1−5222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22-2−1+52−1−522−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ292222222−1+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+52−1−52−1−52-2-22222−1+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+52−1−52−1−5222-2-21−521+52-21−521+5222-2-21−521−521+521+521−521−521+521+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+522-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000000000
χ302222222−1+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+52−1−52−1−52-2-22222−1+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+52−1−52−1−52-2-2-2-21−521+52-21−521+5222-2-21−521−521+521+521−521−521+521+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+52-222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ312222222−1+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+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-221−521+52-21−521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ322222222−1+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+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-221−521+52-21−521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
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χ3422222-2-222222222222-2-2-2-2-2-2-2-22-200-2-22222222200000000-2-2-2-2-2-2-2-2-2-22022-2-2-2000022220000-2-2-2-2000000000000000022-2002222-2-2-2-2000000000-22-22000000000000000000
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χ1388-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−25−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ940000001+51−5−1−51+5−1+51−5−1−5−1+5000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−254ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ940000001+51−5−1−51+5−1+51−5−1−5−1+500000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1180000001−51+5−1+51−5−1−51+5−1+5−1−500000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ1180000001−51+5−1+51−5−1−51+5−1+5−1−5000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.