Finite Group Databasebeta

← Group #11786593

Character table — Group #11786593

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order12222233444466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444888812121212121212122424242424242424222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1-11-111-1-11111-1-1-1-1-1-1-1-111111ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-111-1-1i−i
χ1011-1-11-111-1-11111-1-1-1-1-1-1-1-111111ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−iii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-1-111−ii
χ1111-1-11-111-1-11111-1-1-1-1-1-1-1-111111ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-1-111−ii
χ1211-1-11-111-1-11111-1-1-1-1-1-1-1-111111ii−i−i1111-1-1-1-11-1-111-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−ii−ii-11-11−i−iii−i−iii-1-111-1-11111-1-1i−i
χ1311-1-11-111-1-11111-1-1-1-1-1-1-1-111111−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−ii−ii−ii−i-11-11ii−i−iii−i−i-1-111-1-11111-1-1−ii
χ1411-1-11-111-1-11111-1-1-1-1-1-1-1-111111−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i−iii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-1-111i−i
χ1511-1-11-111-1-11111-1-1-1-1-1-1-1-111111−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−iii−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-1-111i−i
χ1611-1-11-111-1-11111-1-1-1-1-1-1-1-111111−i−iii1111-1-1-1-11-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-111-1-1−ii
χ1722222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200
χ192222222-122222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200220000-1-1-1-10000-1-1-1-1000000
χ202222222-122222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-20000111100001111000000
χ212222222-122222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110022002200-2-20000-1-1-1-100001111000000
χ222222222-122222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-200-2-20022000011110000-1-1-1-1000000
χ23222222-122222-12-1-122-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220022002200-1-1-1-10000-1-1-1-10000000000
χ24222222-122222-12-1-122-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200-2-2001111000011110000000000
χ25222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122002200-2-200-1-1-1-1000011110000000000
χ26222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200-2-200220011110000-1-1-1-10000000000
χ272222-2-2222-22-222222222-2-222-2-220000-2-2-2-222-2-22-2-2-22-2222-2-222-2-200000000000000000000000000000000002200-2-2000000002-22-200000000000000
χ282222-2-2222-22-222222222-2-222-2-220000-2-2-2-222-2-22-2-2-22-2222-2-222-2-20000000000000000000000000000000000-2-2002200000000-22-2200000000000000
χ292222-2-222-22-22222222-2-222-2-22220000-2-2-2-222-2-22-2-22-22-2-2-222-2-222000000000000000000000000000000002200-2-20000002-22-2000000000000000000
χ302222-2-222-22-22222222-2-222-2-22220000-2-2-2-222-2-22-2-22-22-2-2-222-2-22200000000000000000000000000000000-2-20022000000-22-22000000000000000000
χ312222-2-22-12-22-22-122-1-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3002200-2-200000000-11-1100003−33−3000000
χ322222-2-22-12-22-22-122-1-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−300-2-20022000000001-11-10000−33−33000000
χ332222-2-22-12-22-22-122-1-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−33333002200-2-200000000-11-110000−33−33000000
χ342222-2-22-12-22-22-122-1-122112211-10000-2111-1-1-21-111-2-1-2-1-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−3333300-2-20022000000001-11-100003−33−3000000
χ352222-2-2-12-22-22-12-1-12211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-133−3−3000033−3−333−3−333−3−3000033−3−333−3−32200-2-2000000-11-1100003−33−30000000000
χ362222-2-2-12-22-22-12-1-12211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-133−3−3000033−3−333−3−333−3−3000033−3−333−3−3-2-200220000001-11-10000−33−330000000000
χ372222-2-2-12-22-22-12-1-12211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-1−3−3330000−3−333−3−333−3−3330000−3−333−3−3332200-2-2000000-11-110000−33−330000000000
χ382222-2-2-12-22-22-12-1-12211221122-100001-211-1-11-2-111-1-2-1-211-1-111-1-1−3−3330000−3−333−3−333−3−3330000−3−333−3−333-2-200220000001-11-100003−33−30000000000
χ3922-2-22-22222-2-222-2-2-2-22222-2-2-2-2200002222-2-2-2-22-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002-2-2200
χ4022-2-22-22222-2-222-2-2-2-22222-2-2-2-2200002222-2-2-2-22-2-2-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000-222-200
χ4122-2-22-22-1-2-2222-1-2-211-2-21122-1-1-12i2i−2i−2i2-1-1-111-21-1112-1-21-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii002i−2i002i−2i002-20000−i−iii0000-1-111000000
χ4222-2-22-22-1-2-2222-1-2-211-2-21122-1-1-12i2i−2i−2i2-1-1-111-21-1112-1-21-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00−2i2i00−2i2i00-220000ii−i−i000011-1-1000000
χ4322-2-22-22-1-2-2222-1-2-211-2-21122-1-1-1−2i−2i2i2i2-1-1-111-21-1112-1-21-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i002i−2i002i−2i00-220000−i−iii000011-1-1000000
χ4422-2-22-22-1-2-2222-1-2-211-2-21122-1-1-1−2i−2i2i2i2-1-1-111-21-1112-1-21-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00−2i2i00−2i2i002-20000ii−i−i0000-1-111000000
χ4522-2-22-2-12-2-222-1211-2-211-2-2-1-122-12i2i−2i−2i-12-1-1111-2-111-121-2-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2i−2i002i−2i002-200−i−iii0000-1-1110000000000
χ4622-2-22-2-12-2-222-1211-2-211-2-2-1-122-12i2i−2i−2i-12-1-1111-2-111-121-2-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii−2i2i00−2i2i00-2200ii−i−i000011-1-10000000000
χ4722-2-22-2-12-2-222-1211-2-211-2-2-1-122-1−2i−2i2i2i-12-1-1111-2-111-121-2-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2i−2i002i−2i00-2200−i−iii000011-1-10000000000
χ4822-2-22-2-12-2-222-1211-2-211-2-2-1-122-1−2i−2i2i2i-12-1-1111-2-111-121-2-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−2i2i00−2i2i002-200ii−i−i0000-1-1110000000000
χ4922-2-2-22222-2-2222-2-2-2-222-2-2-2-22220000-2-2-2-2-2-2222222-2-22-2-22222-2-2000000000000000000000000000000002i−2i00−2i2i0000002i−2i−2i2i000000000000000000
χ5022-2-2-22222-2-2222-2-2-2-222-2-2-2-22220000-2-2-2-2-2-2222222-2-22-2-22222-2-200000000000000000000000000000000−2i2i002i−2i000000−2i2i2i−2i000000000000000000
χ5122-2-2-2222-222-222-2-2-2-2-2-22222-2-220000-2-2-2-2-2-222222-222-222-2-2-2-22200000000000000000000000000000000002i−2i00−2i2i000000002i−2i−2i2i00000000000000
χ5222-2-2-2222-222-222-2-2-2-2-2-22222-2-220000-2-2-2-2-2-222222-222-222-2-2-2-2220000000000000000000000000000000000−2i2i002i−2i00000000−2i2i2i−2i00000000000000
χ5322-2-2-222-1-222-22-1-2-211-2-2-1-12211-10000-2111112-1-1-1-1-2-121-1-11111-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002i−2i00−2i2i00000000−iii−i0000−333−3000000
χ5422-2-2-222-1-222-22-1-2-211-2-2-1-12211-10000-2111112-1-1-1-1-2-121-1-11111-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300−2i2i002i−2i00000000i−i−ii00003−3−33000000
χ5522-2-2-222-1-222-22-1-2-211-2-2-1-12211-10000-2111112-1-1-1-1-2-121-1-11111-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3002i−2i00−2i2i00000000−iii−i00003−3−33000000
χ5622-2-2-222-1-222-22-1-2-211-2-2-1-12211-10000-2111112-1-1-1-1-2-121-1-11111-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300−2i2i002i−2i00000000i−i−ii0000−333−3000000
χ5722-2-2-22-122-2-22-1211-2-2-1-1-2-21122-100001-21111-12-1-1-1-1-21211-1-1-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i32i−2i00−2i2i000000−iii−i0000−333−30000000000
χ5822-2-2-22-122-2-22-1211-2-2-1-1-2-21122-100001-21111-12-1-1-1-1-21211-1-1-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−2i2i002i−2i000000i−i−ii00003−3−330000000000
χ5922-2-2-22-122-2-22-1211-2-2-1-1-2-21122-100001-21111-12-1-1-1-1-21211-1-1-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32i−2i00−2i2i000000−iii−i00003−3−330000000000
χ6022-2-2-22-122-2-22-1211-2-2-1-1-2-21122-100001-21111-12-1-1-1-1-21211-1-1-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−2i2i002i−2i000000i−i−ii0000−333−30000000000
χ614444444-2-4-4-4-44-244-2-2-4-422-4-422-200004-2-2-2-2-24-2-2-2-2-42-4222222222000000000000000000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-24-2-24422-4-422-4-4-20000-24-2-2-2-2-24-2-2-22-42-422222222000000000000000000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-21111-2-2111-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111-2-2111-2-2-2-21111111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-10000000033-3-3-3-3330000000033-3-3-3-3330000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-100000000-3-33333-3-300000000-3-33333-3-30000000000000000000000000000000000
χ674444-4-44-2-44-444-244-2-2-4-4-2-2-4-4-2-2-20000-4222-2-2-42-222424222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-244-44-4-24-2-244-2-2-4-4-2-2-4-4-200002-422-2-22-4-2222424-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-2221000022-1-111221-1-12-22-211-1-111-1-100002323−23−23−3−3−3−3333300002323−23−23−3−3−3−333330000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-2221000022-1-111221-1-12-22-211-1-111-1-10000−23−2323233333−3−3−3−30000−23−2323233333−3−3−3−30000000000000000000000000000000000
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χ1104-4-4400-2400002-42-2-4423−2300−232300-2-222-200002-2002000000−23230023−23001−3−1+31+3−1−3-22-221−3−1+31+3−1−31−3−1+31+3−1−3−1+31−3−1−31+32-22-2−1+31−3−1−31+3−1+31−3−1−31+30000000000000000000000000000000000
χ1114-4-4400-2400002-42-2-44−23230023−2300-22-2-2200002-200200000023−2300−232300−1−31+3−1+31−32-22-2−1−31+3−1+31−3−1−31+3−1+31−31+3−1−31−3−1+3-22-221+3−1−31−3−1+31+3−1−31−3−1+30000000000000000000000000000000000
χ1124-4-4400-2400002-42-2-44−23230023−2300-2-222-200002-200200000023−2300−2323001+3−1−31−3−1+3-22-221+3−1−31−3−1+31+3−1−31−3−1+3−1−31+3−1+31−32-22-2−1−31+3−1+31−3−1−31+3−1+31−30000000000000000000000000000000000
χ1134-4-4400-2-20000222-22-223−2323−23−2323−232312-2-22003-3-1100-1-3300003−33−3−33−33−1+31−3−1−31+3−1+31−3−1−31+32−3−2+3-11-112+3−2−31−3−1+31+3−1−31−3−1+31+3−1−3−2+32−31-11-1−2−32+30000000000000000000000000000000000
χ1144-4-4400-2-20000222-22-223−2323−23−2323−23231-222-2003-3-1100-1-3300003−33−3−33−331−3−1+31+3−1−31−3−1+31+3−1−3−2+32−31-11-1−2−32+3−1+31−3−1−31+3−1+31−3−1−31+32−3−2+3-11-112+3−2−30000000000000000000000000000000000
χ1154-4-4400-2-20000222-22-223−23−2323−232323−2312-2-2200-33-1100-13-300003−3−33−333−3−1+31−3−1−31+3−1−31+3−1+31−3-112+3−2−32−3−2+3-111−3−1+31+3−1−31+3−1−31−3−1+31-1−2−32+3−2+32−31-10000000000000000000000000000000000
χ1164-4-4400-2-20000222-22-223−23−2323−232323−231-222-200-33-1100-13-300003−3−33−333−31−3−1+31+3−1−31+3−1−31−3−1+31-1−2−32+3−2+32−31-1−1+31−3−1−31+3−1−31+3−1+31−3-112+3−2−32−3−2+3-110000000000000000000000000000000000
χ1174-4-4400-2-20000222-22-2−232323−2323−23−232312-2-2200-33-1100-13-30000−333−33−3−33−1−31+3−1+31−3−1+31−3−1−31+3-112−3−2+32+3−2−3-111+3−1−31−3−1+31−3−1+31+3−1−31-1−2+32−3−2−32+31-10000000000000000000000000000000000
χ1184-4-4400-2-20000222-22-2−232323−2323−23−23231-222-200-33-1100-13-30000−333−33−3−331+3−1−31−3−1+31−3−1+31+3−1−31-1−2+32−3−2−32+31-1−1−31+3−1+31−3−1+31−3−1−31+3-112−3−2+32+3−2−3-110000000000000000000000000000000000
χ1194-4-4400-2-20000222-22-2−2323−232323−2323−2312-2-22003-3-1100-1-330000−33−333−33−3−1−31+3−1+31−3−1−31+3−1+31−32+3−2−3-11-112−3−2+31+3−1−31−3−1+31+3−1−31−3−1+3−2−32+31-11-1−2+32−30000000000000000000000000000000000
χ1204-4-4400-2-20000222-22-2−2323−232323−2323−231-222-2003-3-1100-1-330000−33−333−33−31+3−1−31−3−1+31+3−1−31−3−1+3−2−32+31-11-1−2+32−3−1−31+3−1+31−3−1−31+3−1+31−32+3−2−3-11-112−3−2+30000000000000000000000000000000000

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