Finite Group Databasebeta

← Group #11755266

Character table — Group #11755266

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444444466668888888888888888881010101012121212121212121212202020202020242424243030303040406060
order12223556661010101010104441212151520202020303030303030444412122020202060606060606060606060606044444420202020202020204412121212202020204444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1
χ611111111111111111-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11
χ711111111111111111-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ811111111111111111-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1
χ91111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111-111-1-1-1-1-1-111-1-11-1-11
χ101111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-11-1-111-1-1-1-1-1-111-111-1
χ111111111111111111-11-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-11111-1-1111-11-1
χ121111111111111111-11-1-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-11-11
χ131111111111111111-1-11-1-111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-1-1111-1-1-1-1111111-11-1-1
χ141111111111111111-1-11-1-111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-111111-1-1-1-11-1-1-111-1-111-1-1-1-11-111
χ151111111111111111-1-11-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-11111-1111-1-111-1-1-1-1-1-1-1111
χ161111111111111111-1-11-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111111-1-1-11111-1-111111-1-1-1
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+52−1−52222222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−5200000000
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+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+5200000000
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+52−1−5222-2-2-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+5200000000
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+52−1−52-2-222-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−5200000000
χ2122222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+5200000000
χ2222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-21−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−5200000000
χ2322222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−5200000000
χ2422222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-221−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+5200000000
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+52222222−1−52−1+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+5200000000
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+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−5200000000
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+5222-2-2-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−5200000000
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+52-2-222-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+5200000000
χ2922222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−5200000000
χ3022222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-21+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+5200000000
χ3122222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+5200000000
χ3222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-221+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−5200000000
χ332222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-100000000-1-100
χ342222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-21111000000001100
χ352222-122-1-1-12222222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1-100001122-2-2-1-1-1-11111111122220000000000-2-2-1-1-1-1000000001100
χ362222-122-1-1-12222222-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1-100001122-2-2-1-1-1-111111111-2-2-2-2000000000022111100000000-1-100
χ372222-122-1-1-1222222-22-211-1-12222-1-1-1-1-1-10000-11-2-2-2-21111-1-1-1-1111122-2-200000000002-2-1-11100000000-1100
χ382222-122-1-1-1222222-22-211-1-12222-1-1-1-1-1-10000-11-2-2-2-21111-1-1-1-11111-2-2220000000000-2211-1-1000000001-100
χ392222-122-1-1-1222222-2-2211-1-1-2-2-2-2-1-1-1-1-1-100001-1-2-22211111111-1-1-1-122-2-20000000000-22-1-111000000001-100
χ402222-122-1-1-1222222-2-2211-1-1-2-2-2-2-1-1-1-1-1-100001-1-2-22211111111-1-1-1-1-2-22200000000002-211-1-100000000-1100
χ4122-2-22222-2-22-22-2-2-2000002200002-22-2-2-2002-2000000000000000000002-20000002-22-200002-20000002-20000
χ4222-2-22222-2-22-22-2-2-2000002200002-22-2-2-2002-200000000000000000000-220000002-22-20000-22000000-220000
χ4322-2-22222-2-22-22-2-2-2000002200002-22-2-2-200-22000000000000000000002-2000000-22-2200002-2000000-220000
χ4422-2-22222-2-22-22-2-2-2000002200002-22-2-2-200-2200000000000000000000-22000000-22-220000-220000002-20000
χ452-22-2222-22-2-22-22-2-200000220000-22-22-2-22-2000000000000000000002-200002-22-20000002-20000002-2000000
χ462-22-2222-22-2-22-22-2-200000220000-22-22-2-22-200000000000000000000-2200002-22-2000000-22000000-22000000
χ472-22-2222-22-2-22-22-2-200000220000-22-22-2-2-22000000000000000000002-20000-22-220000002-2000000-22000000
χ482-22-2222-22-2-22-22-2-200000220000-22-22-2-2-2200000000000000000000-220000-22-22000000-220000002-2000000
χ494444-2−1+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+520000-2-2−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ504444-2−1+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+52000022−1+5−1−51−51+51−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ514444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-44-4221−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+520000-221−51+51−51+5−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ524444-2−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-4-44221−521+521−51−51+51+51−521−521+521+521−521+5200002-21−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000
χ534444-2−1−5−1+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+521−520000-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ544444-2−1−5−1+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+521−52000022−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ554444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-44-4221+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−520000-221+51−51+51−5−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ564444-2−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4-44221+521−521+51+51−51−51+521+521−521−521+521−5200002-21+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000
χ5744-4-44−1+5−1−54-4-4−1+51−5−1−51+51−51+500000−1+5−1−50000−1+51−5−1−51+51−51+5004-40000000000000000000000000000−1+51−5−1−51+5000000000000000000
χ5844-4-44−1+5−1−54-4-4−1+51−5−1−51+51−51+500000−1+5−1−50000−1+51−5−1−51+51−51+500-4400000000000000000000000000001−5−1+51+5−1−5000000000000000000
χ5944-4-44−1−5−1+54-4-4−1−51+5−1+51−51+51−500000−1−5−1+50000−1−51+5−1+51−51+51−5004-40000000000000000000000000000−1−51+5−1+51−5000000000000000000
χ6044-4-44−1−5−1+54-4-4−1−51+5−1+51−51+51−500000−1−5−1+50000−1−51+5−1+51−51+51−500-4400000000000000000000000000001+5−1−51−5−1+5000000000000000000
χ6144-4-4-244-2224-44-4-4-400000-2-20000-22-22220000000000000000000000004-400000000000000-22000000000000
χ6244-4-4-244-2224-44-4-4-400000-2-20000-22-2222000000000000000000000000-44000000000000002-2000000000000
χ634-44-44−1+5−1−5-44-41−5−1+51+5−1−51−51+500000−1+5−1−500001−5−1+51+5−1−51−51+54-400000000000000000000000000−1+51−5−1−51+50000000000000000000000
χ644-44-44−1+5−1−5-44-41−5−1+51+5−1−51−51+500000−1+5−1−500001−5−1+51+5−1−51−51+5-44000000000000000000000000001−5−1+51+5−1−50000000000000000000000
χ654-44-44−1−5−1+5-44-41+5−1−51−5−1+51+51−500000−1−5−1+500001+5−1−51−5−1+51+51−54-400000000000000000000000000−1−51+5−1+51−50000000000000000000000
χ664-44-44−1−5−1+5-44-41+5−1−51−5−1+51+51−500000−1−5−1+500001+5−1−51−5−1+51+51−5-44000000000000000000000000001+5−1−51−5−1+50000000000000000000000
χ674-44-4-2442-22-44-44-4-400000-2-200002-22-22200000000000000000000004-400000000000000-2200000000000000
χ684-44-4-2442-22-44-44-4-400000-2-200002-22-2220000000000000000000000-44000000000000002-200000000000000
χ694-4-44444-4-44-4-4-4-44400000440000-4-4-4-444000000000000000000000000000000000000000000000000000000
χ704-4-444−1+5−1−5-4-441−51−51+51+5−1+5−1−500000−1+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+2ζ11−2ζ14000000000000000000000000000000000000
χ714-4-444−1+5−1−5-4-441−51−51+51+5−1+5−1−500000−1+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+2ζ14000000000000000000000000000000000000
χ724-4-444−1−5−1+5-4-441+51+51−51−5−1−5−1+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+2ζ7−2ζ8−2ζ13000000000000000000000000000000000000
χ734-4-444−1−5−1+5-4-441+51+51−51−5−1−5−1+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+2ζ13000000000000000000000000000000000000
χ744-4-44-24422-2-4-4-4-4440002i3−2i3-2-200002222-2-200000000002i3−2i32i3−2i30000000000000000000000000000000000000000
χ754-4-44-24422-2-4-4-4-444000−2i32i3-2-200002222-2-20000000000−2i32i3−2i32i30000000000000000000000000000000000000000
χ764-4-44-2−1+5−1−522-21−51−51+51+5−1+5−1−50002i3−2i31−521+522ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−1+52−1+52−1−52−1−521−521+520000000000ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−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−ζ1400000000000000000000000000000000
χ774-4-44-2−1+5−1−522-21−51−51+51+5−1+5−1−50002i3−2i31−521+52−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−1+52−1+52−1−52−1−521−521+520000000000ζ2−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+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ1400000000000000000000000000000000
χ784-4-44-2−1+5−1−522-21−51−51+51+5−1+5−1−5000−2i32i31−521+522ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−1+52−1+52−1−52−1−521−521+520000000000−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+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+ζ1400000000000000000000000000000000
χ794-4-44-2−1+5−1−522-21−51−51+51+5−1+5−1−5000−2i32i31−521+52−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−1+52−1+52−1−52−1−521−521+520000000000−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ2+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−ζ1400000000000000000000000000000000
χ804-4-44-2−1−5−1+522-21+51+51−51−5−1−5−1+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+521−520000000000−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+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300000000000000000000000000000000
χ814-4-44-2−1−5−1+522-21+51+51−51−5−1−5−1+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+521−520000000000−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−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300000000000000000000000000000000
χ824-4-44-2−1−5−1+522-21+51+51−51−5−1−5−1+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+521−520000000000ζ+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+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ1300000000000000000000000000000000
χ834-4-44-2−1−5−1+522-21+51+51−51−5−1−5−1+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+521−520000000000ζ+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−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ1300000000000000000000000000000000
χ8488-8-8-4−2+25−2−25-444−2+252−25−2−252+252−252+25000001−51+500001−5−1+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000
χ8588-8-8-4−2−25−2+25-444−2−252+25−2+252−252+252−25000001+51−500001+5−1−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000
χ868-88-8-4−2+25−2−254-442−25−2+252+25−2−252−252+25000001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000
χ878-88-8-4−2−25−2+254-442+25−2−252−25−2+252+252−25000001+51−50000−1−51+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000

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