Finite Group Databasebeta

← Group #11922780

Character table — Group #11922780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122333344668888121212121212121212121616161616162424242411112233334466888812121212121212121212161616161616242424241111223333446688881212121212121212121216161616161624242424
order1222442222224436662222444444666612124444366612126666661212366666661212121212126666121212121212366612126666661212366666661212121212126666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111-1-1111111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1111111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1111111-1-111111111-1-1-1-111-1-1-1-1
χ41111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-111111-1-1-111111-111-1-111-1-111-1-1-1-11-11-11111-1-111111-1-1-111111-111-1-111-1-111-1-1-1-11-11-11111-1-111111-1-1-111111-111-1-111-1-111-1-1-1-11-11-1
χ61111-1-111111-1-1-111111-1-1-111-1-11111-1-1-1-1-11-111111-1-111111-1-1-111111-1-1-111-1-11111-1-1-1-1-11-111111-1-111111-1-1-111111-1-1-111-1-11111-1-1-1-1-11-11
χ71111-1-11111-11-1-11111-1111-1-111-1-1-1-111-1-1-11-111111-1-11111-11-1-11111-1111-1-111-1-1-1-111-1-1-11-111111-1-11111-11-1-11111-1111-1-111-1-1-1-111-1-1-11-11
χ81111-1-11111-11-1-11111-11-1-111-1-111-1-111-1-11-11-11111-1-11111-11-1-11111-11-1-111-1-111-1-111-1-11-11-11111-1-11111-11-1-11111-11-1-111-1-111-1-111-1-11-11-1
χ922222222222222-1-1-1-12200000000-1-1-1-1-1-1000022222222222222-1-1-1-12200000000-1-1-1-1-1-1000022222222222222-1-1-1-12200000000-1-1-1-1-1-10000
χ102222222222-2-222-1-1-1-1-2-2000000001111-1-100002222222222-2-222-1-1-1-1-2-2000000001111-1-100002222222222-2-222-1-1-1-1-2-2000000001111-1-10000
χ112222-2-222222-2-2-2-1-1-1-12-200000000-1-1111100002222-2-222222-2-2-2-1-1-1-12-200000000-1-1111100002222-2-222222-2-2-2-1-1-1-12-200000000-1-111110000
χ122222-2-22222-22-2-2-1-1-1-1-220000000011-1-11100002222-2-22222-22-2-2-1-1-1-1-220000000011-1-11100002222-2-22222-22-2-2-1-1-1-1-220000000011-1-1110000
χ1322-2-20022-2-2000022-2-200002i−2i002i−2i000000000022-2-20022-2-2000022-2-200002i−2i002i−2i000000000022-2-20022-2-2000022-2-200002i−2i002i−2i0000000000
χ1422-2-20022-2-2000022-2-20000−2i2i00−2i2i000000000022-2-20022-2-2000022-2-20000−2i2i00−2i2i000000000022-2-20022-2-2000022-2-20000−2i2i00−2i2i0000000000
χ152-22-22-2-222-2002-22-2-22000000000000002-200002-22-22-2-222-2002-22-2-22000000000000002-200002-22-22-2-222-2002-22-2-22000000000000002-20000
χ162-22-22-2-222-2002-2-111-10000000000−i3i3−i3i3-1100002-22-22-2-222-2002-2-111-10000000000−i3i3−i3i3-1100002-22-22-2-222-2002-2-111-10000000000−i3i3−i3i3-110000
χ172-22-22-2-222-2002-2-111-10000000000i3−i3i3−i3-1100002-22-22-2-222-2002-2-111-10000000000i3−i3i3−i3-1100002-22-22-2-222-2002-2-111-10000000000i3−i3i3−i3-110000
χ182-22-2-22-222-200-222-2-2200000000000000-2200002-22-2-22-222-200-222-2-2200000000000000-2200002-22-2-22-222-200-222-2-2200000000000000-220000
χ192-22-2-22-222-200-22-111-10000000000−i3i3i3−i31-100002-22-2-22-222-200-22-111-10000000000−i3i3i3−i31-100002-22-2-22-222-200-22-111-10000000000−i3i3i3−i31-10000
χ202-22-2-22-222-200-22-111-10000000000i3−i3−i3i31-100002-22-2-22-222-200-22-111-10000000000i3−i3−i3i31-100002-22-2-22-222-200-22-111-10000000000i3−i3−i3i31-10000
χ212-2-2200-22-2200002-22-2002-2002-20000000000002-2-2200-22-2200002-22-2002-2002-20000000000002-2-2200-22-2200002-22-2002-2002-2000000000000
χ222-2-2200-22-2200002-22-200-2200-220000000000002-2-2200-22-2200002-22-200-2200-220000000000002-2-2200-22-2200002-22-200-2200-22000000000000
χ23333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1
χ24333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111
χ25333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111
χ26333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1
χ273333-3-3-1-1-1-13-3110000-1111-1-1-1-1110000001-1-113333-3-3-1-1-1-13-3110000-1111-1-1-1-1110000001-1-113333-3-3-1-1-1-13-3110000-1111-1-1-1-1110000001-1-11
χ283333-3-3-1-1-1-13-3110000-11-1-11111-1-1000000-111-13333-3-3-1-1-1-13-3110000-11-1-11111-1-1000000-111-13333-3-3-1-1-1-13-3110000-11-1-11111-1-1000000-111-1
χ293333-3-3-1-1-1-1-331100001-111-1-1-1-111000000-111-13333-3-3-1-1-1-1-331100001-111-1-1-1-111000000-111-13333-3-3-1-1-1-1-331100001-111-1-1-1-111000000-111-1
χ303333-3-3-1-1-1-1-331100001-1-1-11111-1-10000001-1-113333-3-3-1-1-1-1-331100001-1-1-11111-1-10000001-1-113333-3-3-1-1-1-1-331100001-1-1-11111-1-10000001-1-11
χ3144-4-40044-4-40000-2-2220000000000000000000044-4-40044-4-40000-2-2220000000000000000000044-4-40044-4-40000-2-22200000000000000000000
χ324-4-4400-44-440000-22-22000000000000000000004-4-4400-44-440000-22-22000000000000000000004-4-4400-44-440000-22-2200000000000000000000
χ3366-6-600-2-2220000000000002i−2i00−2i2i000000000066-6-600-2-2220000000000002i−2i00−2i2i000000000066-6-600-2-2220000000000002i−2i00−2i2i0000000000
χ3466-6-600-2-222000000000000−2i2i002i−2i000000000066-6-600-2-222000000000000−2i2i002i−2i000000000066-6-600-2-222000000000000−2i2i002i−2i0000000000
χ356-66-66-62-2-2200-220000000000000000000000006-66-66-62-2-2200-220000000000000000000000006-66-66-62-2-2200-22000000000000000000000000
χ366-66-6-662-2-22002-20000000000000000000000006-66-6-662-2-22002-20000000000000000000000006-66-6-662-2-22002-2000000000000000000000000
χ376-6-66002-22-200000000002-200-220000000000006-6-66002-22-200000000002-200-220000000000006-6-66002-22-200000000002-200-22000000000000
χ386-6-66002-22-20000000000-22002-20000000000006-6-66002-22-20000000000-22002-20000000000006-6-66002-22-20000000000-22002-2000000000000
χ3911111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4011111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ411111111111-1-1111111-1-111111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ421111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ431111-1-111111-1-1-111111-111-1-111-1-111-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ441111-1-111111-1-1-111111-1-1-111-1-11111-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ451111-1-11111-11-1-11111-1111-1-111-1-1-1-111-1-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ461111-1-11111-11-1-11111-11-1-111-1-111-1-111-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4722222222222222-1-1-1-12200000000-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i320000
χ482222222222-2-222-1-1-1-1-2-2000000001111-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i31−i300000000−1+i32−1+i32−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i31+i300000000−1−i32−1−i32−1−i32−1−i321+i321+i320000
χ492222-2-222222-2-2-2-1-1-1-12-200000000-1-111110000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ502222-2-22222-22-2-2-1-1-1-1-220000000011-1-1110000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i300000000−1+i32−1+i321−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i300000000−1−i32−1−i321+i321+i32−1−i32−1−i320000
χ5122-2-20022-2-2000022-2-200002i−2i002i−2i0000000000−1+i3−1+i31−i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i300002ζ7−2ζ7002ζ7−2ζ70000000000−1−i3−1−i31+i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i300002ζ11−2ζ11002ζ11−2ζ110000000000
χ5222-2-20022-2-2000022-2-20000−2i2i00−2i2i0000000000−1+i3−1+i31−i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i30000−2ζ72ζ700−2ζ72ζ70000000000−1−i3−1−i31+i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i30000−2ζ112ζ1100−2ζ112ζ110000000000
χ532-22-22-2-222-2002-22-2-22000000000000002-20000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i31−i3−1+i300000000000000−1+i31−i30000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i31+i3−1−i300000000000000−1−i31+i30000
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χ562-22-2-22-222-200-222-2-2200000000000000-220000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i3−1+i31−i31−i3−1+i3000000000000001−i3−1+i30000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i3−1−i31+i31+i3−1−i3000000000000001+i3−1−i30000
χ572-22-2-22-222-200-22-111-10000000000−i3i3i3−i31-10000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i31−i32−1+i32−1+i321−i3200000000003+i32−3−i32−3−i323+i32−1+i321−i320000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i31+i32−1−i32−1−i321+i320000000000−3+i323−i323−i32−3+i32−1−i321+i320000
χ582-22-2-22-222-200-22-111-10000000000i3−i3−i3i31-10000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i31−i32−1+i32−1+i321−i320000000000−3−i323+i323+i32−3−i32−1+i321−i320000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i31+i32−1−i32−1−i321+i3200000000003−i32−3+i32−3+i323−i32−1−i321+i320000
χ592-2-2200-22-2200002-22-2002-2002-2000000000000−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i300−1+i31−i300−1+i31−i3000000000000−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i300−1−i31+i300−1−i31+i3000000000000
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χ61333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−1−i32−1−i321+i321+i32
χ62333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i32−1−i32−1−i32
χ63333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000001+i321+i32−1−i32−1−i32
χ64333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i32
χ653333-3-3-1-1-1-13-3110000-1111-1-1-1-1110000001-1-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−3+3i323−3i32−1+i32−1+i3200001−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−3−3i323+3i32−1−i32−1−i3200001+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000−1−i321+i321+i32−1−i32
χ663333-3-3-1-1-1-13-3110000-11-1-11111-1-1000000-111-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−3+3i323−3i32−1+i32−1+i3200001−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000001−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−3−3i323+3i32−1−i32−1−i3200001+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000001+i32−1−i32−1−i321+i32
χ673333-3-3-1-1-1-1-331100001-111-1-1-1-111000000-111-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i323−3i32−3+3i32−1+i32−1+i320000−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i323+3i32−3−3i32−1−i32−1−i320000−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i32
χ683333-3-3-1-1-1-1-331100001-1-1-11111-1-10000001-1-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i323−3i32−3+3i32−1+i32−1+i320000−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1+i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i323+3i32−3−3i32−1−i32−1−i320000−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1−i321+i321+i32−1−i32
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χ7811111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ791111111111-1-1111111-1-111111111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ801111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ811111-1-111111-1-1-111111-111-1-111-1-111-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ821111-1-111111-1-1-111111-1-1-111-1-11111-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ831111-1-11111-11-1-11111-1111-1-111-1-1-1-111-1-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ841111-1-11111-11-1-11111-11-1-111-1-111-1-111-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ8522222222222222-1-1-1-12200000000-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i320000
χ862222222222-2-222-1-1-1-1-2-2000000001111-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i31+i300000000−1−i32−1−i32−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i31−i300000000−1+i32−1+i32−1+i32−1+i321−i321−i320000
χ872222-2-222222-2-2-2-1-1-1-12-200000000-1-111110000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i321+i321+i321+i32−1−i31+i3000000001+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i321−i321−i321−i32−1+i31−i3000000001−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ882222-2-22222-22-2-2-1-1-1-1-220000000011-1-1110000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i3−1−i300000000−1−i32−1−i321+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i3−1+i300000000−1+i32−1+i321−i321−i32−1+i32−1+i320000
χ8922-2-20022-2-2000022-2-200002i−2i002i−2i0000000000−1−i3−1−i31+i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i300002ζ11−2ζ11002ζ11−2ζ110000000000−1+i3−1+i31−i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i300002ζ7−2ζ7002ζ7−2ζ70000000000
χ9022-2-20022-2-2000022-2-20000−2i2i00−2i2i0000000000−1−i3−1−i31+i31+i300−1−i3−1−i31+i31+i30000−1−i3−1−i31+i31+i30000−2ζ112ζ1100−2ζ112ζ110000000000−1+i3−1+i31−i31−i300−1+i3−1+i31−i31−i30000−1+i3−1+i31−i31−i30000−2ζ72ζ700−2ζ72ζ70000000000
χ912-22-22-2-222-2002-22-2-22000000000000002-20000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i31+i3−1−i300000000000000−1−i31+i30000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i31−i3−1+i300000000000000−1+i31−i30000
χ922-22-22-2-222-2002-2-111-10000000000−i3i3−i3i3-110000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i31+i32−1−i32−1−i321+i320000000000−3+i323−i32−3+i323−i321+i32−1−i320000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i31−i32−1+i32−1+i321−i3200000000003+i32−3−i323+i32−3−i321−i32−1+i320000
χ932-22-22-2-222-2002-2-111-10000000000i3−i3i3−i3-110000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i31+i32−1−i32−1−i321+i3200000000003−i32−3+i323−i32−3+i321+i32−1−i320000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i31−i32−1+i32−1+i321−i320000000000−3−i323+i32−3−i323+i321−i32−1+i320000
χ942-22-2-22-222-200-222-2-2200000000000000-220000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i3−1−i31+i31+i3−1−i3000000000000001+i3−1−i30000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i3−1+i31−i31−i3−1+i3000000000000001−i3−1+i30000
χ952-22-2-22-222-200-22-111-10000000000−i3i3i3−i31-10000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i31+i32−1−i32−1−i321+i320000000000−3+i323−i323−i32−3+i32−1−i321+i320000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i31−i32−1+i32−1+i321−i3200000000003+i32−3−i32−3−i323+i32−1+i321−i320000
χ962-22-2-22-222-200-22-111-10000000000i3−i3−i3i31-10000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3001+i3−1−i31+i32−1−i32−1−i321+i3200000000003−i32−3+i32−3+i323−i32−1−i321+i320000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3001−i3−1+i31−i32−1+i32−1+i321−i320000000000−3−i323+i323+i32−3−i32−1+i321−i320000
χ972-2-2200-22-2200002-22-2002-2002-2000000000000−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i300−1−i31+i300−1−i31+i3000000000000−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i300−1+i31−i300−1+i31−i3000000000000
χ982-2-2200-22-2200002-22-200-2200-22000000000000−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i30000−1−i31+i3−1−i31+i3001+i3−1−i3001+i3−1−i3000000000000−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i30000−1+i31−i3−1+i31−i3001−i3−1+i3001−i3−1+i3000000000000
χ99333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−1+i32−1+i321−i321−i32
χ100333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i321+i321+i3200001+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i321−i321−i3200001−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i32−1+i32−1+i32
χ101333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000001−i321−i32−1+i32−1+i32
χ102333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i323+3i323+3i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i323−3i323−3i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i32
χ1033333-3-3-1-1-1-13-3110000-1111-1-1-1-1110000001-1-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−3−3i323+3i32−1−i32−1−i3200001+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−3+3i323−3i32−1+i32−1+i3200001−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000−1+i321−i321−i32−1+i32
χ1043333-3-3-1-1-1-13-3110000-11-1-11111-1-1000000-111-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−3−3i323+3i32−1−i32−1−i3200001+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000001+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−3+3i323−3i32−1+i32−1+i3200001−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000001−i32−1+i32−1+i321−i32
χ1053333-3-3-1-1-1-1-331100001-111-1-1-1-111000000-111-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i323+3i32−3−3i32−1−i32−1−i320000−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i323−3i32−3+3i32−1+i32−1+i320000−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i32
χ1063333-3-3-1-1-1-1-331100001-1-1-11111-1-10000001-1-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i323+3i32−3−3i32−1−i32−1−i320000−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1−i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i323−3i32−3+3i32−1+i32−1+i320000−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1+i321−i321−i32−1+i32
χ10744-4-40044-4-40000-2-22200000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i32+2i300001+i31+i3−1−i3−1−i300000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i32−2i300001−i31−i3−1+i3−1+i300000000000000000000
χ1084-4-4400-44-440000-22-2200000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i32+2i3−2−2i300001+i3−1−i31+i3−1−i300000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i32−2i3−2+2i300001−i3−1+i31−i3−1+i300000000000000000000
χ10966-6-600-2-2220000000000002i−2i00−2i2i0000000000−3−3i3−3−3i33+3i33+3i3001+i31+i3−1−i3−1−i30000000000002ζ11−2ζ1100−2ζ112ζ110000000000−3+3i3−3+3i33−3i33−3i3001−i31−i3−1+i3−1+i30000000000002ζ7−2ζ700−2ζ72ζ70000000000
χ11066-6-600-2-222000000000000−2i2i002i−2i0000000000−3−3i3−3−3i33+3i33+3i3001+i31+i3−1−i3−1−i3000000000000−2ζ112ζ11002ζ11−2ζ110000000000−3+3i3−3+3i33−3i33−3i3001−i31−i3−1+i3−1+i3000000000000−2ζ72ζ7002ζ7−2ζ70000000000
χ1116-66-66-62-2-2200-22000000000000000000000000−3−3i33+3i3−3−3i33+3i3−3−3i33+3i3−1−i31+i31+i3−1−i3001+i3−1−i3000000000000000000000000−3+3i33−3i3−3+3i33−3i3−3+3i33−3i3−1+i31−i31−i3−1+i3001−i3−1+i3000000000000000000000000
χ1126-66-6-662-2-22002-2000000000000000000000000−3−3i33+3i3−3−3i33+3i33+3i3−3−3i3−1−i31+i31+i3−1−i300−1−i31+i3000000000000000000000000−3+3i33−3i3−3+3i33−3i33−3i3−3+3i3−1+i31−i31−i3−1+i300−1+i31−i3000000000000000000000000
χ1136-6-66002-22-200000000002-200-22000000000000−3−3i33+3i33+3i3−3−3i300−1−i31+i3−1−i31+i30000000000−1−i31+i3001+i3−1−i3000000000000−3+3i33−3i33−3i3−3+3i300−1+i31−i3−1+i31−i30000000000−1+i31−i3001−i3−1+i3000000000000
χ1146-6-66002-22-20000000000-22002-2000000000000−3−3i33+3i33+3i3−3−3i300−1−i31+i3−1−i31+i300000000001+i3−1−i300−1−i31+i3000000000000−3+3i33−3i33−3i3−3+3i300−1+i31−i3−1+i31−i300000000001−i3−1+i300−1+i31−i3000000000000

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