Finite Group Databasebeta

← Group #11770883

Character table — Group #11770883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order12222222334444446666666666121212121212121212121212234666666666666666666666666612121212121212121212121212121212121212121212121212124444444412121212121212121212121212121212888824242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111-1-1111111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i
χ6111111-1-1111111-1-1111111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii
χ7111111-1-1111111-1-1111111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−iii
χ8111111-1-1111111-1-1111111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiii−i−i
χ91111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-11-1
χ101111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-11-11
χ111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i-11-11
χ121111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-11-1
χ131111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111−iii−i
χ141111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1i−i−ii
χ151111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111i−i−ii
χ161111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1−iii−i
χ172222222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222-22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ18222222222-122222222-1-12-1222222222222-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ19222222222-122222222-1-12-1222222222222-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ20222222222-1-2-2-2-2-2-222-1-12-12222-2-2-2-2-2-2-2-211112-1-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-211-2-2111111111111111100000000000000000000000000003−33−33−33−30000
χ21222222222-1-2-2-2-2-2-222-1-12-12222-2-2-2-2-2-2-2-211112-1-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-211-2-211111111111111110000000000000000000000000000−33−33−33−330000
χ2222222222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1-1-122222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1-1-122222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-12-2-2-2-2-2-2-1-122-12-1-1-1-111111111-2-2-2-22-1-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2522222222-12-2-2-2-2-2-2-1-122-12-1-1-1-111111111-2-2-2-22-1-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ27222222-2-22-12222-2-222-1-12-12222222222221111-2-1-2-1-1-2-211-2-211-1-1-1-1-1-111111111-1-1-1-1-1-2-211-2-2-1-1-1-1-1-1-1-1111111110000000000000000000000002i2i−2i−2i−i−i−i−iiiii0000
χ28222222-2-22-12222-2-222-1-12-12222222222221111-2-1-2-1-1-2-211-2-211-1-1-1-1-1-111111111-1-1-1-1-1-2-211-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000−2i−2i2i2iiiii−i−i−i−i0000
χ29222222-2-22-1-2-2-2-22222-1-12-12222-2-2-2-2-2-2-2-2-1-1-1-1-2-12-1-1-2-211-2-211-1-1-1-1-1-111111111-1111122-1-12211111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ30222222-2-22-1-2-2-2-22222-1-12-12222-2-2-2-2-2-2-2-2-1-1-1-1-2-12-1-1-2-211-2-211-1-1-1-1-1-111111111-1111122-1-12211111111-1-1-1-1-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ31222222-2-2-122222-2-2-1-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-1-22211-2-211-2-2-1-1-1-1-1-111111111-1222211-2-211-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ32222222-2-2-122222-2-2-1-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-1-22211-2-211-2-2-1-1-1-1-1-111111111-1222211-2-211-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ33222222-2-2-12-2-2-2-222-1-122-12-1-1-1-1111111112222-2-122211-2-211-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-122-1-111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ34222222-2-2-12-2-2-2-222-1-122-12-1-1-1-1111111112222-2-122211-2-211-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-122-1-111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-2-22222-2-22222222222-2-2-2-2-2-2-2-222222222-22-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22-2-222-2-2-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ362222-2-2222-122-2-2-2-222-1-12-1-2-2-2-22222-2-2-2-21111-2-121122-1-1-2-211-1-11111-1-1-1-11111-1-1-11122-1-1-2-2-1-1-1-11111-1-1-1-111110000000000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ372222-2-2222-122-2-2-2-222-1-12-1-2-2-2-22222-2-2-2-21111-2-121122-1-1-2-211-1-11111-1-1-1-11111-1-1-11122-1-1-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ382222-2-2222-1-2-2222222-1-12-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-1-21122-1-1-2-211-1-11111-1-1-1-11111-111-1-1-2-211221111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ392222-2-2222-1-2-2222222-1-12-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-1-21122-1-1-2-211-1-11111-1-1-1-11111-111-1-1-2-211221111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ402222-2-222-1222-2-2-2-2-1-122-121111-1-1-1-11111-2-2-2-2-2-12-2-2-1-12211-2-2-1-11111-1-1-1-11111-122-2-2-1-12211-1-1-1-11111-1-1-1-111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ412222-2-222-1222-2-2-2-2-1-122-121111-1-1-1-11111-2-2-2-2-2-12-2-2-1-12211-2-2-1-11111-1-1-1-11111-122-2-2-1-12211-1-1-1-11111-1-1-1-11111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ422222-2-222-12-2-22222-1-122-1211111111-1-1-1-12222-2-1-2-2-2-1-12211-2-2-1-11111-1-1-1-11111-1-2-22211-2-2-1-11111-1-1-1-11111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ432222-2-222-12-2-22222-1-122-1211111111-1-1-1-12222-2-1-2-2-2-1-12211-2-2-1-11111-1-1-1-11111-1-2-22211-2-2-1-11111-1-1-1-11111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ442222-2-2-2-222-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-2222222-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ452222-2-2-2-22-122-2-22222-1-12-1-2-2-2-22222-2-2-2-2-1-1-1-12-1-211-2-21122-1-1-1-111111111-1-1-1-1-1-1-111-2-21122-1-1-1-111111111-1-1-1-10000000000000000000000002-2-22-1-11111-1-10000
χ462222-2-2-2-22-122-2-22222-1-12-1-2-2-2-22222-2-2-2-2-1-1-1-12-1-211-2-21122-1-1-1-111111111-1-1-1-1-1-1-111-2-21122-1-1-1-111111111-1-1-1-1000000000000000000000000-222-211-1-1-1-1110000
χ472222-2-2-2-22-1-2-222-2-222-1-12-1-2-2-2-2-2-2-2-2222211112-1211-2-21122-1-1-1-111111111-1-1-1-1-111-1-122-1-1-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000003−3−33−333−30000
χ482222-2-2-2-22-1-2-222-2-222-1-12-1-2-2-2-2-2-2-2-2222211112-1211-2-21122-1-1-1-111111111-1-1-1-1-111-1-122-1-1-2-21111-1-1-1-1-1-1-1-111110000000000000000000000000000−333−33−3−330000
χ492222-2-2-2-2-1222-2-222-1-122-121111-1-1-1-1111122222-1-2-2-211-2-2-1-122-1-111111111-1-1-1-1-122-2-211-2-2-1-1-1-1-1-111111111-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ502222-2-2-2-2-1222-2-222-1-122-121111-1-1-1-1111122222-1-2-2-211-2-2-1-122-1-111111111-1-1-1-1-122-2-211-2-2-1-1-1-1-1-111111111-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ512222-2-2-2-2-12-2-222-2-2-1-122-1211111111-1-1-1-1-2-2-2-22-12-2-211-2-2-1-122-1-111111111-1-1-1-1-1-2-222-1-122111111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ522222-2-2-2-2-12-2-222-2-2-1-122-1211111111-1-1-1-1-2-2-2-22-12-2-211-2-2-1-122-1-111111111-1-1-1-1-1-2-222-1-122111111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ5322-2-2002-222002i−2i2i−2i2-22-2-2-2000000002i2i−2i−2i2i2i−2i−2i020002-22-200002-2000022-2-20000-2002i−2i00002i−2i00002i2i−2i−2i00002i2i−2i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ5422-2-2002-222002i−2i2i−2i2-22-2-2-2000000002i2i−2i−2i2i2i−2i−2i020002-22-200002-2000022-2-20000-2002i−2i00002i−2i00002i2i−2i−2i00002i2i−2i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ5522-2-2002-22200−2i2i−2i2i2-22-2-2-200000000−2i−2i2i2i−2i−2i2i2i020002-22-200002-2000022-2-20000-200−2i2i0000−2i2i0000−2i−2i2i2i0000−2i−2i2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ5622-2-2002-22200−2i2i−2i2i2-22-2-2-200000000−2i−2i2i2i−2i−2i2i2i020002-22-200002-2000022-2-20000-200−2i2i0000−2i2i0000−2i−2i2i2i0000−2i−2i2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ5722-2-2002-2-12002i−2i2i−2i-112-21-2−i3−i3i3i333−3−3−i−iii2i2i−2i−2i0-1000-112-2−i3i300-11−i3−i3i3i3-1-111−i3−i3i3i31002i−2i3−300−ii33−3−3−i−iii33−3−3−i−iii1+i−1−i1−i−1+i1+i−1−i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000000000000
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χ1204-4-444-400-2-20000002222-2-2-222-2−2i32i32i3−2i3−2i32i32i3−2i3−2i32i32i3−2i3010-2200000000-1-11-1-113-3-33-333-31000000−2i32i300i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000
χ1214-4-444-400-2-20000002222-2-2-222-2−2i32i32i3−2i3−2i32i32i3−2i32i3−2i3−2i32i3010-2200000000-1-11-1-11-333-33-3-3310000002i3−2i300i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000
χ1224-4-444-400-2-20000002222-2-2-222-22i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i3010-2200000000-1-11-1-11-333-33-3-331000000−2i32i300−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000
χ1234-4-444-400-2-20000002222-2-2-222-22i3−2i3−2i32i32i3−2i3−2i32i32i3−2i3−2i32i3010-2200000000-1-11-1-113-3-33-333-310000002i3−2i300−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000
χ1244-4-44-440044000000-4-4-4-444-444-4000000000000040-4400000000-4-4-444-4000000004000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-44-44004-2000000-4-4224-2-444-400000000−2i32i32i3−2i30-202-200000000222-2-2200000000-20000002i3−2i30000000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000
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χ1274-4-44-4400-2400000022-4-4-242-2-22−2i32i32i3−2i32i3−2i3−2i32i300000-20-4400000000222-2-2200000000-20000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1284-4-44-4400-2400000022-4-4-242-2-222i3−2i3−2i32i3−2i32i32i3−2i300000-20-4400000000222-2-2200000000-200000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1294-4-44-4400-2-20000002222-2-22-2-22−2i32i32i3−2i32i3−2i3−2i32i3−2i32i32i3−2i30102-200000000-1-1-111-1-333-3-333-310000002i3−2i300i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1304-4-44-4400-2-20000002222-2-22-2-22−2i32i32i3−2i32i3−2i3−2i32i32i3−2i3−2i32i30102-200000000-1-1-111-13-3-333-3-331000000−2i32i300i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ1314-4-44-4400-2-20000002222-2-22-2-222i3−2i3−2i32i3−2i32i32i3−2i3−2i32i32i3−2i30102-200000000-1-1-111-13-3-333-3-3310000002i3−2i300−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1324-4-44-4400-2-20000002222-2-22-2-222i3−2i3−2i32i3−2i32i32i3−2i32i3−2i3−2i32i30102-200000000-1-1-111-1-333-3-333-31000000−2i32i300−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.