Finite Group Databasebeta

← Group #13164151

Character table — Group #13164151

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11233688881212121222466121616161624242424224661216161616242424242246612161616162424242422466121616161624242424991827275472727272108108108108
order122222366624443666663666612121291818181818918181818363636918181818189181818183636369181818181891818181836363622222266662444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ311-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-1
χ411-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-11
χ5222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000
χ622-222-2-1-111000022-222-2-1-111000022-222-2-1-111000022-222-2-1-111000022-222-2-1-111000022-222-2-1-1110000
χ72-202-202-20000002-202-202-20000002-202-202-20000002-202-202-20000002-202-202-20000002-202-202-2000000
χ82-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i30000
χ92-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i30000
χ10333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1
χ11333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111
χ1233-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-11
χ1333-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-1
χ146-60-220000000006-60-220000000006-60-220000000006-60-220000000006-60-220000000006-60-22000000000
χ151111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1711-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-111-111-111-1-11-11-1-1-11-1-11-1-111-11-11
χ1811-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-1111-111-111-1-1-11-11-1-11-1-11-1-1111-11-1
χ19222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000222222-1-1-1-10000-2-2-2-2-2-211110000
χ2022-222-2-1-111000022-222-2-1-111000022-222-2-1-111000022-222-2-1-111000022-222-2-1-1110000-2-22-2-2211-1-10000
χ212-202-202-20000002-202-202-20000002-202-202-20000002-202-202-20000002-202-202-2000000-220-220-22000000
χ222-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i300002-202-20-11i3−i30000-220-2201-1−i3i30000
χ232-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i300002-202-20-11−i3i30000-220-2201-1i3−i30000
χ24333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1333-1-1-1000011-1-1-3-3-31110000-1-111
χ25333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111333-1-1-10000-1-111-3-3-3111000011-1-1
χ2633-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-1133-3-1-1100001-1-11-3-3311-10000-111-1
χ2733-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-133-3-1-110000-111-1-3-3311-100001-1-11
χ286-60-220000000006-60-220000000006-60-220000000006-60-220000000006-60-22000000000-6602-2000000000
χ292222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222222222-2-2-2-22222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111100000000000000
χ3122-222-222-2-22-22-222-222-222-2-22-22-2-1-11-1-11-1-111-11-11-1-11-1-11-1-111-11-11-1-11-1-11-1-111-11-1100000000000000
χ3222-222-222-2-2-22-2222-222-222-2-2-22-22-1-11-1-11-1-1111-11-1-1-11-1-11-1-1111-11-1-1-11-1-11-1-1111-11-100000000000000
χ33444444-2-2-2-20000444444-2-2-2-20000-2-2-2-2-2-211110000-2-2-2-2-2-211110000-2-2-2-2-2-21111000000000000000000
χ3444-444-4-2-222000044-444-4-2-2220000-2-22-2-2211-1-10000-2-22-2-2211-1-10000-2-22-2-2211-1-1000000000000000000
χ354-404-404-40000004-404-404-4000000-220-220-22000000-220-220-22000000-220-220-2200000000000000000000
χ364-404-40-222i3−2i300004-404-40-222i3−2i30000-220-2201-1−i3i30000-220-2201-1−i3i30000-220-2201-1−i3i3000000000000000000
χ374-404-40-22−2i32i300004-404-40-22−2i32i30000-220-2201-1i3−i30000-220-2201-1i3−i30000-220-2201-1i3−i3000000000000000000
χ38666-2-2-2000022-2-2666-2-2-2000022-2-2-3-3-31110000-1-111-3-3-31110000-1-111-3-3-31110000-1-11100000000000000
χ39666-2-2-20000-2-222666-2-2-20000-2-222-3-3-3111000011-1-1-3-3-3111000011-1-1-3-3-3111000011-1-100000000000000
χ4066-6-2-2200002-2-2266-6-2-2200002-2-22-3-3311-10000-111-1-3-3311-10000-111-1-3-3311-10000-111-100000000000000
χ4166-6-2-220000-222-266-6-2-220000-222-2-3-3311-100001-1-11-3-3311-100001-1-11-3-3311-100001-1-1100000000000000
χ4212-120-4400000000012-120-44000000000-6602-2000000000-6602-2000000000-6602-200000000000000000000000
χ4322222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ500000000000000
χ442222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500000000000000
χ4522-222-222-2-22-22-2-1-11-1-11-1-111-11-11ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ500000000000000
χ4622-222-222-2-2-22-22-1-11-1-11-1-1111-11-1ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ500000000000000
χ47444444-2-2-2-20000-2-2-2-2-2-2111100002ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5000000000000000000
χ4844-444-4-2-2220000-2-22-2-2211-1-100002ζ+2ζ82ζ+2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ800002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ700002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5000000000000000000
χ494-404-404-4000000-220-220-220000002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ80000002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70000002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ500000000000000000000
χ504-404-40-222i3−2i30000-220-2201-1−i3i300002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ80−ζ−ζ8ζ+ζ8ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ500002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70−ζ2−ζ7ζ2+ζ7ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ500002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ50−ζ4−ζ5ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5000000000000000000
χ514-404-40-22−2i32i30000-220-2201-1i3−i300002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ80−ζ−ζ8ζ+ζ8−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ500002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70−ζ2−ζ7ζ2+ζ7−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ500002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ50−ζ4−ζ5ζ4+ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5000000000000000000
χ52666-2-2-2000022-2-2-3-3-31110000-1-1113ζ+3ζ83ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ80000ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ83ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ70000ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ73ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ50000ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ500000000000000
χ53666-2-2-20000-2-222-3-3-3111000011-1-13ζ+3ζ83ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ80000−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ83ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ70000−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ73ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ50000−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ500000000000000
χ5466-6-2-2200002-2-22-3-3311-10000-111-13ζ+3ζ83ζ+3ζ8−3ζ−3ζ8−ζ−ζ8−ζ−ζ8ζ+ζ80000ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ83ζ2+3ζ73ζ2+3ζ7−3ζ2−3ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ70000ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ73ζ4+3ζ53ζ4+3ζ5−3ζ4−3ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ50000ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ500000000000000
χ5566-6-2-220000-222-2-3-3311-100001-1-113ζ+3ζ83ζ+3ζ8−3ζ−3ζ8−ζ−ζ8−ζ−ζ8ζ+ζ80000−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ83ζ2+3ζ73ζ2+3ζ7−3ζ2−3ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ70000−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ73ζ4+3ζ53ζ4+3ζ5−3ζ4−3ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ50000−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ500000000000000
χ5612-120-44000000000-6602-20000000006ζ+6ζ8−6ζ−6ζ80−2ζ−2ζ82ζ+2ζ80000000006ζ2+6ζ7−6ζ2−6ζ70−2ζ2−2ζ72ζ2+2ζ70000000006ζ4+6ζ5−6ζ4−6ζ50−2ζ4−2ζ52ζ4+2ζ500000000000000000000000
χ5722222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ800000000000000
χ582222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800000000000000
χ5922-222-222-2-22-22-2-1-11-1-11-1-111-11-11ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ800000000000000
χ6022-222-222-2-2-22-22-1-11-1-11-1-1111-11-1ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ800000000000000
χ61444444-2-2-2-20000-2-2-2-2-2-2111100002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500002ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8000000000000000000
χ6244-444-4-2-2220000-2-22-2-2211-1-100002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ700002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ500002ζ+2ζ82ζ+2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8000000000000000000
χ634-404-404-4000000-220-220-220000002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70000002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ50000002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ800000000000000000000
χ644-404-40-222i3−2i30000-220-2201-1−i3i300002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70−ζ2−ζ7ζ2+ζ7ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ500002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ50−ζ4−ζ5ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ500002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ80−ζ−ζ8ζ+ζ8ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5000000000000000000
χ654-404-40-22−2i32i30000-220-2201-1i3−i300002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70−ζ2−ζ7ζ2+ζ7−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ500002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ50−ζ4−ζ5ζ4+ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ500002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ80−ζ−ζ8ζ+ζ8−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5000000000000000000
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χ7012-120-44000000000-6602-20000000006ζ2+6ζ7−6ζ2−6ζ70−2ζ2−2ζ72ζ2+2ζ70000000006ζ4+6ζ5−6ζ4−6ζ50−2ζ4−2ζ52ζ4+2ζ50000000006ζ+6ζ8−6ζ−6ζ80−2ζ−2ζ82ζ+2ζ800000000000000000000000
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χ722222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700000000000000
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χ784-404-40-222i3−2i30000-220-2201-1−i3i300002ζ4+2ζ5−2ζ4−2ζ502ζ4+2ζ5−2ζ4−2ζ50−ζ4−ζ5ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ500002ζ+2ζ8−2ζ−2ζ802ζ+2ζ8−2ζ−2ζ80−ζ−ζ8ζ+ζ8ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ500002ζ2+2ζ7−2ζ2−2ζ702ζ2+2ζ7−2ζ2−2ζ70−ζ2−ζ7ζ2+ζ7ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5000000000000000000
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χ81666-2-2-20000-2-222-3-3-3111000011-1-13ζ4+3ζ53ζ4+3ζ53ζ4+3ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ50000−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ53ζ+3ζ83ζ+3ζ83ζ+3ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ80000−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ83ζ2+3ζ73ζ2+3ζ73ζ2+3ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ70000−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ700000000000000
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χ8366-6-2-220000-222-2-3-3311-100001-1-113ζ4+3ζ53ζ4+3ζ5−3ζ4−3ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ50000−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ53ζ+3ζ83ζ+3ζ8−3ζ−3ζ8−ζ−ζ8−ζ−ζ8ζ+ζ80000−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ83ζ2+3ζ73ζ2+3ζ7−3ζ2−3ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ70000−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ700000000000000
χ8412-120-44000000000-6602-20000000006ζ4+6ζ5−6ζ4−6ζ50−2ζ4−2ζ52ζ4+2ζ50000000006ζ+6ζ8−6ζ−6ζ80−2ζ−2ζ82ζ+2ζ80000000006ζ2+6ζ7−6ζ2−6ζ70−2ζ2−2ζ72ζ2+2ζ700000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.