Finite Group Databasebeta

← Group #14413981

Character table — Group #14413981

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222224444444444444444444455555555666666668888888888888888101010101010101010101010121212121212121212121212121212122020202020202020202020202020202020202020202020202020202030303030303030306060606060606060
order122244443444466612121212510101012121212202020202020202020202020444444442244444415303030606060606060606060606060224412121212121212121010101020202020202020202020202066888888881212242424242424242424242424242424242244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−iiiii
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiii−i−i−i−i
χ9111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ14111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ15111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ16111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111i−ii−ii−ii−i-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1i−ii−ii−ii−i
χ181111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111−ii−ii−ii−ii-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−ii−ii−ii−ii
χ191111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111i−ii−ii−ii−i-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111−ii−ii−ii−ii
χ201111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111−ii−ii−ii−ii-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111i−ii−ii−ii−i
χ211111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-11-1-11-111111-1-111-1-1-1-111-1-111-1-1-1-111111-11-1-11-11
χ221111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11-111-11-111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-111-11-1
χ231111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-1-11-111111-1-111-1-1-1-111-1-1111111-1-1-1-1-11-111-11-1
χ241111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-111-11-111-1-111-1-11111-1-111-1-11111-1-1-1-11-11-1-11-11
χ251111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1i−i−iii−i−ii11ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111i−i−iii−i−ii
χ261111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1−iii−i−iii−i11−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111−iii−i−iii−i
χ271111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1i−i−iii−i−ii11ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1−iii−i−iii−i
χ281111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−iii−i−iii−i11−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1i−i−iii−i−ii
χ291111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11-111-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-11-1-11-111-1
χ301111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-11-1-11-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-111-11-1-11
χ311111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-11-111-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-111-11-1-11
χ321111-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-111-11-1-11-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-11-111-1
χ3322222222-12222-1-1-1-1-1-1-12222-1-1-1-12222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422222222-12222-1-1-1-1-1-1-12222-1-1-1-12222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000
χ3522222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ3622222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000011−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-22222222200000000-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-100000000000000001122-2-222-2-211-1-1-1-11111-1-1-1-111110000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-22222222200000000-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-1000000000000000011-2-222-2-222111111-1-1-1-11111-1-1-1-10000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1111111112222111111110000000000000000-1-12i2i−2i−2i−2i−2i2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1111111112222111111110000000000000000-1-1−2i−2i2i2i2i2i−2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ412222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-22222-2-2-2-200000000-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000000000000000-1-12i−2i2i−2i2i−2i2i−2i11−i−iii−i−iii−i−iii−i−iii0000000000000000
χ422222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-22222-2-2-2-200000000-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-111110000000000000000-1-1−2i2i−2i2i−2i2i−2i2i11ii−i−iii−i−iii−i−iii−i−i0000000000000000
χ432222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-2-2-2-2-2222200000000-1-1-1-11111-1-1-1-11111-2-2221111-1-1-1-10000000000000000112-22-2-22-22-1-1-1-111-1-11111-1-111-1-10000000000000000
χ442222-2-2-2-2-122-2-2-1-1-111112222-1-111-2-2-2-22222-2-2-2-2-2-2-2-2222200000000-1-1-1-11111-1-1-1-11111-2-2221111-1-1-1-1000000000000000011-22-222-22-2-1-111-1-111-1-1-1-111-1-1110000000000000000
χ452222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-222222222-2-2-2-200000000-1-1-1-111111111-1-1-1-1-2-222-1-1-1-111110000000000000000112i−2i−2i2i2i−2i−2i2i-1-1−i−iiiii−i−i−i−iiiii−i−i0000000000000000
χ462222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-222222222-2-2-2-200000000-1-1-1-111111111-1-1-1-1-2-222-1-1-1-11111000000000000000011−2i2i2i−2i−2i2i2i−2i-1-1ii−i−i−i−iiiii−i−i−i−iii0000000000000000
χ472222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-1-1-1-111111111-1-1-1-122-2-21111-1-1-1-10000000000000000-1-12-2-22-222-211-1-11111-1-111-1-1-1-1110000000000000000
χ482222-2-2-2-2-1-2-222-1-1-11111222211-1-1-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-1-1-1-111111111-1-1-1-122-2-21111-1-1-1-10000000000000000-1-1-222-22-2-221111-1-1-1-111-1-11111-1-10000000000000000
χ4922-2-222-2-2200002-2-222-2-222-2-2000022-2-2000000002i2i−2i−2i2i2i−2i−2i00002i−2i2i−2i22-2-222-2-20000000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002-200002-200000000
χ5022-2-222-2-2200002-2-222-2-222-2-2000022-2-2000000002i2i−2i−2i2i2i−2i−2i0000−2i2i−2i2i22-2-222-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000-220000-2200000000
χ5122-2-222-2-2200002-2-222-2-222-2-2000022-2-200000000−2i−2i2i2i−2i−2i2i2i00002i−2i2i−2i22-2-222-2-2000000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000-220000-2200000000
χ5222-2-222-2-2200002-2-222-2-222-2-2000022-2-200000000−2i−2i2i2i−2i−2i2i2i0000−2i2i−2i2i22-2-222-2-2000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002-200002-200000000
χ5322-2-2-2-222200002-2-2-2-22222-2-20000-2-222000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i22-2-2-2-2220000000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000002-20000-2200000000
χ5422-2-2-2-222200002-2-2-2-22222-2-20000-2-222000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i22-2-2-2-2220000000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000-2200002-200000000
χ5522-2-2-2-222200002-2-2-2-22222-2-20000-2-22200000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i22-2-2-2-222000000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000-2200002-200000000
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χ13388-8-888-8-8-40000-444-4-444-2-2220000-2-222−2i52i5−2i52i5−2i52i5−2i52i5000000000000000011-1-111-1-1i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-888-8-8-40000-444-4-444-2-2220000-2-2222i5−2i52i5−2i52i5−2i52i5−2i5000000000000000011-1-111-1-1−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-8-8-888-40000-44444-4-4-2-222000022-2-2−2i52i5−2i52i52i5−2i52i5−2i5000000000000000011-1-1-1-111i5−i5i5−i5−i5i5−i5i5000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-8-888-40000-44444-4-4-2-222000022-2-22i5−2i52i5−2i5−2i52i5−2i52i5000000000000000011-1-1-1-111−i5i5−i5i5i5−i5i5−i5000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-88i−8i8i−8i-400004-44−4i4i−4i4i-22-220000−2i2i−2i2i−2i52i52i5−2i525−25−252500000000000000001-11-1i−ii−ii5−i5−i5i5−555−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-88i−8i8i−8i-400004-44−4i4i−4i4i-22-220000−2i2i−2i2i2i5−2i5−2i52i5−252525−2500000000000000001-11-1i−ii−i−i5i5i5−i55−5−55000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8−8i8i−8i8i-400004-444i−4i4i−4i-22-2200002i−2i2i−2i−2i52i52i5−2i5−252525−2500000000000000001-11-1−ii−iii5−i5−i5i55−5−55000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8−8i8i−8i8i-400004-444i−4i4i−4i-22-2200002i−2i2i−2i2i5−2i5−2i52i525−25−252500000000000000001-11-1−ii−ii−i5i5i5−i5−555−5000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-888i−8i−8i8i-48-88i−8i44-4−4i4i4i−4i-222-2-44−4i4i−2i2i2i−2i-2-222−2i−2i2i2i00000000000000001-1-11i−i−ii11-1-1ii−i−i000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-888i−8i−8i8i-4-88−8i8i44-4−4i4i4i−4i-222-24-44i−4i−2i2i2i−2i22-2-22i2i−2i−2i00000000000000001-1-11i−i−ii-1-111−i−iii000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88−8i8i8i−8i-48-8−8i8i44-44i−4i−4i4i-222-2-444i−4i2i−2i−2i2i-2-2222i2i−2i−2i00000000000000001-1-11−iii−i11-1-1−i−iii000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88−8i8i8i−8i-4-888i−8i44-44i−4i−4i4i-222-24-4−4i4i2i−2i−2i2i22-2-2−2i−2i2i2i00000000000000001-1-11−iii−i-1-111ii−i−i000000000000000000000000000000000000000000000000000000000000000000000000

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