Finite Group Databasebeta

← Group #11754917

Character table — Group #11754917

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888101010101010101012121212121212121212121220202020202020202424242460606060
order1222344556661010101010102266661212151520202020303030303030101010103030303030303030606060604444121212122244202020202020202044121212121212101010102444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ6111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1
χ7111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ8111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111
χ911111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111111-11-11111-1-1-1-11-1-1-111-1-111-1-1-111-1
χ1011111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11-1-1-1-111111-1-1-111-1-1-1-1111-1-11
χ1111111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11111-1-1-1-1-1111-1-11111-1-11-1-11
χ1211111-1-1111111111111-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-11111-1111-1-111-1-111-111-1
χ1311111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111111-1-11-1-1-1-11111-11-1-1-1-11111-1-11-11-1
χ1411111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-11111-111-11111-1-1-1-1-11-1-1-1-111-1-111-11-11
χ1511111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-111111-11111-1-111-1-1-11-11
χ1611111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-11-11111-1-1-1-1111-11-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000022-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000
χ212222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−520000
χ222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+520000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000022-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000-22-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+520000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000002-2-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-222-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+520000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000-22-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−520000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000002-2-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000-222-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000
χ332222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000022-1-1-1-1-1-100000000
χ342222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000000000-2-211111100000000
χ352222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1000000000000-2-2-1-1111100000000
χ362222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111111-1-1-1-1-2-2-2-211110000000000002211-1-1-1-100000000
χ372222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-122-2-2-1-1-1-11111111122-2-2-1-1-1-10000000000002-211-1-11100000000
χ382222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-122-2-2-1-1-1-111111111-2-2221111000000000000-22-1-111-1-100000000
χ392222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1-2-2221111-1-1-1-1111122-2-2-1-1-1-1000000000000-221111-1-100000000
χ402222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1-2-2221111-1-1-1-11111-2-22211110000000000002-2-1-1-1-11100000000
χ4122-2-222-2222-2-222-2-2-2-20000002-2222-22-2-2-2-2-2220000000000002-22-22i−2i2i−2i2i2i−2i−2i000000000000002i−2i000000000000
χ4222-2-222-2222-2-222-2-2-2-20000002-2222-22-2-2-2-2-2220000000000002-22-2−2i2i−2i2i−2i−2i2i2i00000000000000−2i2i000000000000
χ4322-2-22-22222-2-222-2-2-2-2000000-2222-22-22-2-2-2-222000000000000-22-222i−2i−2i2i2i2i−2i−2i00000000000000−2i2i000000000000
χ4422-2-22-22222-2-222-2-2-2-2000000-2222-22-22-2-2-2-222000000000000-22-22−2i2i2i−2i−2i−2i2i2i000000000000002i−2i000000000000
χ4522-2-2-12-222-11122-2-2-2-200−i3i3−i3i3-11-1-12-22-21111-1-10000−i3i3−i3i3−i3i3−i3i3-11-112i−2i2i−2i−i−iii00000000000000−ii3−33−300000000
χ4622-2-2-12-222-11122-2-2-2-200−i3i3−i3i3-11-1-12-22-21111-1-10000−i3i3−i3i3−i3i3−i3i3-11-11−2i2i−2i2iii−i−i00000000000000i−i−33−3300000000
χ4722-2-2-12-222-11122-2-2-2-200i3−i3i3−i3-11-1-12-22-21111-1-10000i3−i3i3−i3i3−i3i3−i3-11-112i−2i2i−2i−i−iii00000000000000−ii−33−3300000000
χ4822-2-2-12-222-11122-2-2-2-200i3−i3i3−i3-11-1-12-22-21111-1-10000i3−i3i3−i3i3−i3i3−i3-11-11−2i2i−2i2iii−i−i00000000000000i−i3−33−300000000
χ4922-2-2-1-2222-11122-2-2-2-200−i3i3i3−i31-1-1-1-22-221111-1-10000−i3i3−i3i3i3−i3i3−i31-11-12i−2i−2i2i−i−iii00000000000000i−i3−3−3300000000
χ5022-2-2-1-2222-11122-2-2-2-200−i3i3i3−i31-1-1-1-22-221111-1-10000−i3i3−i3i3i3−i3i3−i31-11-1−2i2i2i−2iii−i−i00000000000000−ii−333−300000000
χ5122-2-2-1-2222-11122-2-2-2-200i3−i3−i3i31-1-1-1-22-221111-1-10000i3−i3i3−i3−i3i3−i3i31-11-12i−2i−2i2i−i−iii00000000000000i−i−333−300000000
χ5222-2-2-1-2222-11122-2-2-2-200i3−i3−i3i31-1-1-1-22-221111-1-10000i3−i3i3−i3−i3i3−i3i31-11-1−2i2i2i−2iii−i−i00000000000000−ii3−3−3300000000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+544-2-2-2-2-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4-42222-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−521+51−51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000000
χ554444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−544-2-2-2-2-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000000000
χ564444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4-42222-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+521−51+51−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000000
χ574444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+54-4-2-222221+521−521+51+51−51−51+521+521−521−521+521−52−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ584444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4422-2-2221+521−521+51+51−51−51+521+521−521−521+521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ594444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−54-4-2-222221−521+521−51−51+51+51−521−521+521+521−521+52−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ604444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4422-2-2221−521+521−51−51+51+51−521−521+521+521−521+521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ6144-4-444-4−1−5−1+54-4-4−1−5−1+51+51+51−51−50000004-4−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+5000000000000−1−51+5−1+51−5000000000000000000000000000000000000
χ6244-4-444-4−1+5−1−54-4-4−1+5−1−51−51−51+51+50000004-4−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−5000000000000−1+51−5−1−51+5000000000000000000000000000000000000
χ6344-4-44-44−1−5−1+54-4-4−1−5−1+51+51+51−51−5000000-44−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+50000000000001+5−1−51−5−1+5000000000000000000000000000000000000
χ6444-4-44-44−1+5−1−54-4-4−1+5−1−51−51−51+51+5000000-44−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−50000000000001−5−1+51+5−1−5000000000000000000000000000000000000
χ6544-4-4-24-4−1−5−1+5-222−1−5−1+51+51+51−51−500−2i32i3−2i32i3-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581+52−1−521−52−1+52000000000000000000000000000000000000
χ6644-4-4-24-4−1−5−1+5-222−1−5−1+51+51+51−51−5002i3−2i32i3−2i3-221+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581+52−1−521−52−1+52000000000000000000000000000000000000
χ6744-4-4-24-4−1+5−1−5-222−1+5−1−51−51−51+51+500−2i32i3−2i32i3-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461−52−1+521+52−1−52000000000000000000000000000000000000
χ6844-4-4-24-4−1+5−1−5-222−1+5−1−51−51−51+51+5002i3−2i32i3−2i3-221−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−52−1+521+52−1−52000000000000000000000000000000000000
χ6944-4-4-2-44−1−5−1+5-222−1−5−1+51+51+51−51−500−2i32i32i3−2i32-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−520000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1−521+52−1+521−52000000000000000000000000000000000000
χ7044-4-4-2-44−1−5−1+5-222−1−5−1+51+51+51−51−5002i3−2i3−2i32i32-21+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−520000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1−521+52−1+521−52000000000000000000000000000000000000
χ7144-4-4-2-44−1+5−1−5-222−1+5−1−51−51−51+51+500−2i32i32i3−2i32-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+520000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1+521−52−1−521+52000000000000000000000000000000000000
χ7244-4-4-2-44−1+5−1−5-222−1+5−1−51−51−51+51+5002i3−2i3−2i32i32-21−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+520000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+521−52−1−521+52000000000000000000000000000000000000
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χ744-44-4400−1−5−1+5-4-441+51−5−1−51+5−1+51−500000000−1−5−1+50000−1−51+5−1+51−51+51−50000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000
χ754-44-4400−1−5−1+5-4-441+51−5−1−51+5−1+51−500000000−1−5−1+50000−1−51+5−1+51−51+51−500000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000
χ764-44-4400−1+5−1−5-4-441−51+5−1+51−5−1−51+500000000−1+5−1−50000−1+51−5−1−51+51−51+500000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000
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χ784-44-4-2004422-2-4-44-44-400000000-2-20000-22-222200000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ794-44-4-2004422-2-4-44-44-400000000-2-20000-22-2222000000000000000000002i3−2i32i3−2i30000000000000000000000000000
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χ814-4-44400−1−5−1+5-44-41+51−51+5−1−51−5−1+500000000−1−5−1+500001+5−1−51−5−1+51+51−500000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000
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χ834-4-44400−1+5−1−5-44-41−51+51−5−1+51+5−1−500000000−1+5−1−500001−5−1+51+5−1−51−51+5000000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000
χ844-4-44400−1+5−1−5-44-41−51+51−5−1+51+5−1−500000000−1+5−1−500001−5−1+51+5−1−51−51+500000000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000
χ854-4-44-200442-22-4-4-44-4400000000-2-200002-22-2220000000000000000000023−23−23230000000000000000000000000000
χ864-4-44-200442-22-4-4-44-4400000000-2-200002-22-22200000000000000000000−232323−230000000000000000000000000000
χ878-88-8-400−2−25−2+2544-42+252−25−2−252+25−2+252−25000000001+51−500001+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000
χ888-88-8-400−2+25−2−2544-42−252+25−2+252−25−2−252+25000000001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000
χ898-8-88-400−2−25−2+254-442+252−252+25−2−252−25−2+25000000001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000000000
χ908-8-88-400−2+25−2−254-442−252+252−25−2+252+25−2−25000000001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.