Finite Group Databasebeta

← Group #11754986

Character table — Group #11754986

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444444444888888888888888888121212121212121212121212202020202020202024242424404060606060
order1222355666101010101010224661515202020203030303030306101010101230303030303030306060606022442020202020202020224466661010101012124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11111-1-1-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1111111-1-1-1-11-11-1
χ611111111111111111-1-11111-1-1-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1-1-111-1-111-11-11
χ711111111111111111-1-11111-1-1-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-11111-1-111-1-1-11-11
χ811111111111111111-1-11111-1-1-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1
χ91111111111111111-11-1-1-111-1-1-1-11111111-1-111-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-111111-11-111-1-111-1-11-111-1-1
χ101111111111111111-11-1-1-111-1-1-1-11111111-1-111-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-11111-11-11-1-11111-1-1-11-1-111
χ111111111111111111-11-1-1-111-1-1-1-11111111-1-111-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-11-11-111-1-1-1-1111-1-1-111
χ121111111111111111-11-1-1-111-1-1-1-11111111-1-111-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-11-11-1-111-1-111-1111-1-1
χ131111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-111-1-11
χ141111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-111-1
χ151111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111111111111-1-1111-1-1-1-1-1-1-11-111-1
χ161111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111111111-111-1-1-111-1-1-1-11-11-1-11
χ1722222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
χ1822222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000
χ1922222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2−1+52−1−521−521+52-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000
χ2022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2−1+52−1−521−521+52-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000
χ2122222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5221−521+52−1+52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-2-221−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ2222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5221−521+52−1+52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-222-2−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
χ2322222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521+521−521+5221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000
χ2422222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521+521−521+5221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000
χ2522222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000
χ2622222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000
χ2722222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2−1−52−1+521+521−52-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
χ2822222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2−1−52−1+521+521−52-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000
χ2922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5221+521−52−1−52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-2-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
χ3022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5221+521−52−1−52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-222-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000
χ3122222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521−521+521−5221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000
χ3222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521−521+521−5221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000
χ332222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-10000-1-10000
χ342222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000110000
χ352222-122-1-1-12222222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1-1122-2-21-1-1-1-11111111100000000000022-2-2-1-1-1-10000110000
χ362222-122-1-1-12222222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1-1122-2-21-1-1-1-111111111000000000000-2-22211110000-1-10000
χ372222-122-1-1-1222222-22-211-1-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111-1-1-1-111110000000000002-22-2-1-1110000-110000
χ382222-122-1-1-1222222-22-211-1-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111-1-1-1-11111000000000000-22-2211-1-100001-10000
χ392222-122-1-1-1222222-2-2211-1-12222-1-1-1-1-1-11-2-2-2-2-111111111-1-1-1-10000000000002-2-22-1-11100001-10000
χ402222-122-1-1-1222222-2-2211-1-12222-1-1-1-1-1-11-2-2-2-2-111111111-1-1-1-1000000000000-222-211-1-10000-110000
χ414444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5444-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52-2−1+5−1−5−1+5−1−5-21−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000
χ424444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−54-4-4-2-21−521+521−51−51+51+51−521−521+521+521−521+522−1+5−1−51−51+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ434444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-44-4221−521+521−51−51+51+51−521−521+521+521−521+52-21−51+5−1+5−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ444444-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-4-44221−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+5221−51+51−51+5-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000
χ454444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5444-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-2−1−5−1+5−1−5−1+5-21+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000
χ464444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+54-4-4-2-21+521−521+51+51−51−51+521+521−521−521+521−522−1−5−1+51+51−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ474444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-44-4221+521−521+51+51−51−51+521+521−521−521+521−52-21+51−5−1−5−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ484444-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-4-44221+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−5221+51−51+51−5-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000
χ4944-4-4444-44-4-4-44-44-4000004400004-44-4-4-4000000000000000000000000000000000000000000000000
χ5044-4-44−1+5−1−5-44-41−51+5−1+51−5−1−51+500000−1+5−1−50000−1+51−5−1−51+51−51+500000000000000000000002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ140000000000000000000000
χ5144-4-44−1+5−1−5-44-41−51+5−1+51−5−1−51+500000−1+5−1−50000−1+51−5−1−51+51−51+50000000000000000000000−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ140000000000000000000000
χ5244-4-44−1−5−1+5-44-41+51−5−1−51+5−1+51−500000−1−5−1+50000−1−51+5−1+51−51+51−50000000000000000000000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ130000000000000000000000
χ5344-4-44−1−5−1+5-44-41+51−5−1−51+5−1+51−500000−1−5−1+50000−1−51+5−1+51−51+51−500000000000000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ130000000000000000000000
χ5444-4-4-2442-22-4-44-44-400000-2-20000-22-222200000000000000000000000000000000002i3−2i3000000000000
χ5544-4-4-2442-22-4-44-44-400000-2-20000-22-22220000000000000000000000000000000000−2i32i3000000000000
χ564-44-4444-4-44-4-4-44-4400000440000-44-44-4-4000000000000000000000000000000000000000000000000
χ574-44-44−1+5−1−5-4-441−51+51−5−1+51+5−1−500000−1+5−1−500001−5−1+51+5−1−51−51+5000000000000000000000000002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14000000000000000000
χ584-44-44−1+5−1−5-4-441−51+51−5−1+51+5−1−500000−1+5−1−500001−5−1+51+5−1−51−51+500000000000000000000000000−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14000000000000000000
χ594-44-44−1−5−1+5-4-441+51−51+5−1−51−5−1+500000−1−5−1+500001+5−1−51−5−1+51+51−500000000000000000000000000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13000000000000000000
χ604-44-44−1−5−1+5-4-441+51−51+5−1−51−5−1+500000−1−5−1+500001+5−1−51−5−1+51+51−5000000000000000000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13000000000000000000
χ614-44-4-24422-2-4-4-44-4400000-2-200002-22-2220000000000000000000000000000000000002i3−2i30000000000
χ624-44-4-24422-2-4-4-44-4400000-2-200002-22-222000000000000000000000000000000000000−2i32i30000000000
χ634-4-444444-4-444-4-4-4-400000440000-4-4-4-444000000000000000000000000000000000000000000000000
χ644-4-444−1+5−1−54-4-4−1+5−1−51−51−51+51+500000−1+5−1−52ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ141−51−51+51+5−1+5−1−5000000000000002ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14000000000000000000000000000000
χ654-4-444−1+5−1−54-4-4−1+5−1−51−51−51+51+500000−1+5−1−5−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ141−51−51+51+5−1+5−1−500000000000000−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14000000000000000000000000000000
χ664-4-444−1−5−1+54-4-4−1−5−1+51+51+51−51−500000−1−5−1+5−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51+51−51−5−1−5−1+500000000000000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13000000000000000000000000000000
χ674-4-444−1−5−1+54-4-4−1−5−1+51+51+51−51−500000−1−5−1+52ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51+51−51−5−1−5−1+5000000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13000000000000000000000000000000
χ684-4-44-244-22244-4-4-4-40002i3−2i3-2-200002222-2-20000002i3−2i32i3−2i300000000000000000000000000000000000000
χ694-4-44-244-22244-4-4-4-4000−2i32i3-2-200002222-2-2000000−2i32i3−2i32i300000000000000000000000000000000000000
χ704-4-44-2−1+5−1−5-222−1+5−1−51−51−51+51+50002i3−2i31−521+522ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−1+52−1+52−1−52−1−521−521+52000000ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14000000000000000000000000000000
χ714-4-44-2−1+5−1−5-222−1+5−1−51−51−51+51+50002i3−2i31−521+52−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−1+52−1+52−1−52−1−521−521+52000000ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14000000000000000000000000000000
χ724-4-44-2−1+5−1−5-222−1+5−1−51−51−51+51+5000−2i32i31−521+522ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−1+52−1+52−1−52−1−521−521+52000000−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14000000000000000000000000000000
χ734-4-44-2−1+5−1−5-222−1+5−1−51−51−51+51+5000−2i32i31−521+52−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−1+52−1+52−1−52−1−521−521+52000000−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14000000000000000000000000000000
χ744-4-44-2−1−5−1+5-222−1−5−1+51+51+51−51−50002i3−2i31+521−52−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−1−52−1−52−1+52−1+521+521−52000000−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13000000000000000000000000000000
χ754-4-44-2−1−5−1+5-222−1−5−1+51+51+51−51−50002i3−2i31+521−522ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−1−52−1−52−1+52−1+521+521−52000000−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13000000000000000000000000000000
χ764-4-44-2−1−5−1+5-222−1−5−1+51+51+51−51−5000−2i32i31+521−52−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−1−52−1−52−1+52−1+521+521−52000000ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13000000000000000000000000000000
χ774-4-44-2−1−5−1+5-222−1−5−1+51+51+51−51−5000−2i32i31+521−522ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−1−52−1−52−1+52−1+521+521−52000000ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13000000000000000000000000000000
χ7888-8-8-4−2+25−2−254-442−252+25−2+252−25−2−252+25000001−51+500001−5−1+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000
χ7988-8-8-4−2−25−2+254-442+252−25−2−252+25−2+252−25000001+51−500001+5−1−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000
χ808-88-8-4−2+25−2−2544-42−252+252−25−2+252+25−2−25000001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ818-88-8-4−2−25−2+2544-42+252−252+25−2−252−25−2+25000001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.