Finite Group Databasebeta

← Group #14416065

Character table — Group #14416065

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1244451015151244451015152488810203030248881020303024888102030304816161620406060481616162040606012444510151512444510151524888102030302488810203030248881020303048161616204060604816161620406060
order13515152644261030302644412206060412448244012012082488824401201208248826103030264441220606041244261030302644261030302644412206060412448244012012082488824401201208248826103030264441220606041244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i
χ411111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100
χ744-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000
χ84-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ94-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ10111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ1211111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii
χ1311111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ152-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100
χ1644-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000
χ174-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ184-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ19111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111
χ2111111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii
χ2211111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i
χ232-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-2100
χ242-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-2100-21-2112-100
χ2544-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-10000-4-4111000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-10000-4-41110000
χ264-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000
χ274-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ291111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ3011111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i
χ3111111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii
χ322-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-100
χ332-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-2100
χ3444-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-4111000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-4111000044-1-1-10000
χ354-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000
χ364-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000
χ37222222222222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222222222222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ382222222-2-22222222-2-2-2-2-2-2-2-2-2220000000000000000000000000000000000002222222-2-22222222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000
χ3922222-2-22i−2i22222-2-22i−2i-2-2-2-2-222−2i2i00000000000000000000000000000000000022222-2-22i−2i22222-2-22i−2i-2-2-2-2-222−2i2i000000000000000000000000000000000000
χ4022222-2-2−2i2i22222-2-2−2i2i-2-2-2-2-2222i−2i00000000000000000000000000000000000022222-2-2−2i2i22222-2-2−2i2i-2-2-2-2-2222i−2i000000000000000000000000000000000000
χ414-24-2-24-2004-24-2-24-200-42-422-42000000000000000000000000000000000000004-24-2-24-2004-24-2-24-200-42-422-4200000000000000000000000000000000000000
χ424-24-2-2-42004-24-2-2-4200-42-4224-2000000000000000000000000000000000000004-24-2-2-42004-24-2-2-4200-42-4224-200000000000000000000000000000000000000
χ4388-2-2-2000088-2-2-20000-8-8222000000000000000000000000000000000000000088-2-2-2000088-2-2-20000-8-82220000000000000000000000000000000000000000
χ448-4-21−i151+i1500008-4-21−i151+i150000-842−1+i15−1−i1500000000000000000000000000000000000000008-4-21−i151+i1500008-4-21−i151+i150000-842−1+i15−1−i150000000000000000000000000000000000000000
χ458-4-21+i151−i1500008-4-21+i151−i150000-842−1−i15−1+i1500000000000000000000000000000000000000008-4-21+i151−i1500008-4-21+i151−i150000-842−1−i15−1+i150000000000000000000000000000000000000000
χ46222222222-2-2-2-2-2-2-2-2-2000000000i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2000000000000000000222222222-2-2-2-2-2-2-2-2-2000000000i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2000000000000000000
χ472222222-2-2-2-2-2-2-2-2-222000000000i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i20000000000000000002222222-2-2-2-2-2-2-2-2-222000000000i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2000000000000000000
χ4822222-2-22i−2i-2-2-2-2-222−2i2i000000000i2i2i2i2i2−i2−i2−22−i2−i2−i2−i2−i2i2i22−200000000000000000022222-2-22i−2i-2-2-2-2-222−2i2i000000000i2i2i2i2i2−i2−i2−22−i2−i2−i2−i2−i2i2i22−2000000000000000000
χ4922222-2-2−2i2i-2-2-2-2-2222i−2i000000000i2i2i2i2i2−i2−i22−2−i2−i2−i2−i2−i2i2i2−2200000000000000000022222-2-2−2i2i-2-2-2-2-2222i−2i000000000i2i2i2i2i2−i2−i22−2−i2−i2−i2−i2−i2i2i2−22000000000000000000
χ504-24-2-24-200-42-422-42000000000002i2−i22i2−i2−i22i2−i200−2i2i2−2i2i2i2−2i2i2000000000000000000004-24-2-24-200-42-422-42000000000002i2−i22i2−i2−i22i2−i200−2i2i2−2i2i2i2−2i2i200000000000000000000
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χ538-4-21−i151+i150000-842−1+i15−1−i1500000000000004i2−2i2−i2ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ119ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ1090000−4i22i2i2−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ119−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ10900000000000000000000008-4-21−i151+i150000-842−1+i15−1−i1500000000000004i2−2i2−i2ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ119ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ1090000−4i22i2i2−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ119−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ1090000000000000000000000
χ548-4-21+i151−i150000-842−1−i15−1+i1500000000000004i2−2i2−i2ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ109ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ1190000−4i22i2i2−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ109−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ11900000000000000000000008-4-21+i151−i150000-842−1−i15−1+i1500000000000004i2−2i2−i2ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ109ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ1190000−4i22i2i2−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ109−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ1190000000000000000000000
χ55222222222-2-2-2-2-2-2-2-2-2000000000−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2000000000000000000222222222-2-2-2-2-2-2-2-2-2000000000−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2000000000000000000
χ562222222-2-2-2-2-2-2-2-2-222000000000−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2−i2−i20000000000000000002222222-2-2-2-2-2-2-2-2-222000000000−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2−i2−i2000000000000000000
χ5722222-2-22i−2i-2-2-2-2-222−2i2i000000000−i2−i2−i2−i2−i2i2i22−2i2i2i2i2i2−i2−i2−2200000000000000000022222-2-22i−2i-2-2-2-2-222−2i2i000000000−i2−i2−i2−i2−i2i2i22−2i2i2i2i2i2−i2−i2−22000000000000000000
χ5822222-2-2−2i2i-2-2-2-2-2222i−2i000000000−i2−i2−i2−i2−i2i2i2−22i2i2i2i2i2−i2−i22−200000000000000000022222-2-2−2i2i-2-2-2-2-2222i−2i000000000−i2−i2−i2−i2−i2i2i2−22i2i2i2i2i2−i2−i22−2000000000000000000
χ594-24-2-24-200-42-422-4200000000000−2i2i2−2i2i2i2−2i2i2002i2−i22i2−i2−i22i2−i2000000000000000000004-24-2-24-200-42-422-4200000000000−2i2i2−2i2i2i2−2i2i2002i2−i22i2−i2−i22i2−i200000000000000000000
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χ1192222222-2-2-2-2-2-2-2-2-222000000000−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2−i2−i2000000000000000000-2-2-2-2-2-2-2222222222-2-2000000000i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2000000000000000000
χ12022222-2-22i−2i-2-2-2-2-222−2i2i000000000−i2−i2−i2−i2−i2i2i22−2i2i2i2i2i2−i2−i2−22000000000000000000-2-2-2-2-222−2i2i22222-2-22i−2i000000000i2i2i2i2i2−i2−i2−22−i2−i2−i2−i2−i2i2i22−2000000000000000000
χ12122222-2-2−2i2i-2-2-2-2-2222i−2i000000000−i2−i2−i2−i2−i2i2i2−22i2i2i2i2i2−i2−i22−2000000000000000000-2-2-2-2-2222i−2i22222-2-2−2i2i000000000i2i2i2i2i2−i2−i22−2−i2−i2−i2−i2−i2i2i2−22000000000000000000
χ1224-24-2-24-200-42-422-4200000000000−2i2i2−2i2i2i2−2i2i2002i2−i22i2−i2−i22i2−i200000000000000000000-42-422-42004-24-2-24-2000000000002i2−i22i2−i2−i22i2−i200−2i2i2−2i2i2i2−2i2i200000000000000000000
χ1234-24-2-2-4200-42-4224-200000000000−2i2i2−2i2i2i22i2−i2002i2−i22i2−i2−i2−2i2i200000000000000000000-42-4224-2004-24-2-2-42000000000002i2−i22i2−i2−i2−2i2i200−2i2i2−2i2i2i22i2−i200000000000000000000
χ12488-2-2-20000-8-82220000000000000−4i2−4i2i2i2i200004i24i2−i2−i2−i20000000000000000000000-8-8222000088-2-2-200000000000004i24i2−i2−i2−i20000−4i2−4i2i2i2i20000000000000000000000
χ1258-4-21−i151+i150000-842−1+i15−1−i150000000000000−4i22i2i2−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ119−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ10900004i2−2i2−i2ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ119ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ1090000000000000000000000-842−1+i15−1−i1500008-4-21−i151+i1500000000000004i2−2i2−i2ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ119ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ1090000−4i22i2i2−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ119−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ1090000000000000000000000
χ1268-4-21+i151−i150000-842−1−i15−1+i150000000000000−4i22i2i2−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ109−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ11900004i2−2i2−i2ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ109ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ1190000000000000000000000-842−1−i15−1+i1500008-4-21+i151−i1500000000000004i2−2i2−i2ζ23+ζ31+ζ47+ζ53+ζ61+ζ77+ζ79+ζ109ζ7+ζ13+ζ29+ζ37+ζ71+ζ101+ζ103+ζ1190000−4i22i2i2−ζ23−ζ31−ζ47−ζ53−ζ61−ζ77−ζ79−ζ109−ζ7−ζ13−ζ29−ζ37−ζ71−ζ101−ζ103−ζ1190000000000000000000000

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