Finite Group Databasebeta

← Group #13088995

Character table — Group #13088995

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222244444444444444444466666666668888888888810101212121212121212121212121212121212181820202020242424243030303030303636363640406060609090
order122335566101036661010151515153030303030303030244412122020202061515303030303030303024610101212202020206060606060606060246612123030606022246610102020612661222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1111
χ511111111111111111111111111111-1-1111111111111111111111-1-1-1-11-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111-1-1
χ911-1111111111-1-11-1-11111-1-1-1-111111-11-111-1-1-1-1-111-1-111-1-1-1-11-1111-1-1-1-1111111-1-1-1-11-111-1-111-1-11-1-111111-1-11-1-1-111-1
χ1011-1111111111-1-11-1-11111-1-1-1-111111-11-111-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-111-1-1-111-1-1-1111-1-11
χ1111-1111111111-1-11-1-11111-1-1-1-111111-1-11-1-11111-111-1-111-1-1-1-11-1111-11-1-1-1-1-1-1-1-11111-1111-1-111-1-11-11-111-1-1111-11-1-1-11
χ1211-1111111111-1-11-1-11111-1-1-1-111111-1-11-1-11111-111-1-111-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11-11-1-1-1-111-11-1111-1
χ1311-1111111111-1-11-1-11111-1-1-1-11111-111-111-1-1-1-1-111-1-111-1-1-1-11-1-1-1-11-111111111-1-1-1-1-1111-1-1-1-111-11-11-1-1-1-1111-1-111-11
χ1411-1111111111-1-11-1-11111-1-1-1-11111-111-111-1-1-1-1-111-1-111-1-1-1-1-11-1-1-11-111111111-1-1-1-1-11-1-111-1-1111-11-111-1-111-111-1-11-1
χ1511-1111111111-1-11-1-11111-1-1-1-11111-11-11-1-11111-111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111111-111-1-1-1-111-111-1-1-111-1-11-111-11-1
χ1611-1111111111-1-11-1-11111-1-1-1-11111-11-11-1-11111-111-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1111-1-111111-1-1-11-1-11-11
χ1722222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52220000−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+520000000
χ1822222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002−1−52−1+522-2−1−52−1+521+521−521+521+521−521−521+521+521−521−52-2-20000−1−52−1+52−1−52−1+520000001+521−521+521−520000000
χ1922222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−52-221+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200001+521−521+521−520000001+521−521+521−520000000
χ2022222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-21+521−52-2-21+521−521+521−521+521+521−521−521+521+521−521−522200001+521−521+521−52000000−1−52−1+52−1−52−1+520000000
χ2122222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−520000000
χ2222222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002−1+52−1−522-2−1+52−1−521−521+521−521−521+521+521−521−521+521+52-2-20000−1+52−1−52−1+52−1−520000001−521+521−521+520000000
χ2322222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+52-221−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200001−521+521−521+520000001−521+521−521+520000000
χ2422222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-21−521+52-2-21−521+521−521+521−521−521+521+521−521−521+521+522200001−521+521−521+52000000−1+52−1−52−1+52−1−520000000
χ252222-122-1222-12-1-12222-1-12222-1-1222200000000-1-1-1-1-1-1-1-1-1-1-122-122-10220000000000002-1-12-1-1-1-12200-1-10000-1-10-1000
χ262222-122-1222-12-1-12222-1-12222-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-2-2-122-1022000000000000-211-2-1-1-1-1-2-2001100001101000
χ272222-122-1222-12-1-12222-1-12222-1-122-2-200000000-1-1-1-1-1-1-1-1-1-1-1221-2-210-2-20000000000002-1-121111-2-200110000-1-101000
χ282222-122-1222-12-1-12222-1-12222-1-122-2-200000000-1-1-1-1-1-1-1-1-1-1-1-2-21-2-210-2-2000000000000-211-211112200-1-10000110-1000
χ29222-12222-122-1-12-122-1-122-1-1-1-122-1-10022-1-12222-1-1-122-1-1-1-1-1-1220000-10022-1-1-1-1-1-1-1-100-122-100000022000000-1-1-10-100
χ30222-12222-122-1-12-122-1-122-1-1-1-122-1-10022-1-12222-1-1-122-1-1-1-1-1-1-2-20000-10022-1-1-1-1-1-1-1-1001-2-21000000-2-20000001110100
χ31222-12222-122-1-12-122-1-122-1-1-1-122-1-100-2-211-2-2-2-2-1-1-122-1-1-1-1-1-1220000100-2-21111111100-122-1000000-2-2000000-1-110100
χ32222-12222-122-1-12-122-1-122-1-1-1-122-1-100-2-211-2-2-2-2-1-1-122-1-1-1-1-1-1-2-20000100-2-211111111001-2-210000002200000011-10-100
χ3322-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-22-2221+521+521−521−52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−52002−1−52−1+52-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-20000−1−52−1+521+521−52000000−1−52−1+521+521−520000000
χ3422-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−52002−1−52−1+52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-220000−1−52−1+521+521−520000001+521−52−1−52−1+520000000
χ3522-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-222-2221+521+521−521−52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−5200-21+521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2200001+521−52−1−52−1+520000001+521−52−1−52−1+520000000
χ3622-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−5200-21+521−5222−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+522-200001+521−52−1−52−1+52000000−1−52−1+521+521−520000000
χ3722-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-22-2221−521−521+521+52-2−1+52−1−521−521+52−1+52−1−521−521−521+521+52002−1+52−1−52-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-20000−1+52−1−521−521+52000000−1+52−1−521−521+520000000
χ3822-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−52-2−1+52−1−521−521+52−1+52−1−521−521−521+521+52002−1+52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-220000−1+52−1−521−521+520000001−521+52−1+52−1−520000000
χ3922-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-222-2221−521−521+521+52-2−1+52−1−521−521+52−1+52−1−521−521−521+521+5200-21−521+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2200001−521+52−1+52−1−520000001−521+52−1+52−1−520000000
χ4022-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52-2−1+52−1−521−521+52−1+52−1−521−521−521+521+5200-21−521+5222−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−522-200001−521+52−1+52−1−52000000−1+52−1−521−521+520000000
χ4122-22-122-1222-1-21-1-2-222-1-1-2-2-2-2-1-1222-2000000001-1-111-1-111112-2-12210-2-20000000000002-11-2-1-1112-200-1-10000-1101000
χ4222-22-122-1222-1-21-1-2-222-1-1-2-2-2-2-1-1222-2000000001-1-111-1-11111-22-12210-2-2000000000000-21-12-1-111-22001100001-10-1000
χ4322-22-122-1222-1-21-1-2-222-1-1-2-2-2-2-1-122-22000000001-1-111-1-111112-21-2-2-10220000000000002-11-211-1-1-2200110000-110-1000
χ4422-22-122-1222-1-21-1-2-222-1-1-2-2-2-2-1-122-22000000001-1-111-1-11111-221-2-2-1022000000000000-21-1211-1-12-200-1-100001-101000
χ4522-2-12222-122-11-2-1-2-2-1-122111122-1-1002-2-1-1-2-2-2-21-1-1-2-2-1-111112-2000010022-1-1-1-1111100-12-21000000-22000000-1110-100
χ4622-2-12222-122-11-2-1-2-2-1-122111122-1-1002-2-1-1-2-2-2-21-1-1-2-2-1-11111-22000010022-1-1-1-11111001-22-10000002-20000001-1-10100
χ4722-2-12222-122-11-2-1-2-2-1-122111122-1-100-221122221-1-1-2-2-1-111112-20000-100-2-21111-1-1-1-100-12-210000002-2000000-11-10100
χ4822-2-12222-122-11-2-1-2-2-1-122111122-1-100-221122221-1-1-2-2-1-11111-220000-100-2-21111-1-1-1-1001-22-1000000-220000001-110-100
χ494444-2−1−5−1+5-24−1−5−1+5-24-2-2−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521−52−1−5−1+54400000000-21+521−521+521−521+521−521+521+521−521−5200-2−1−5−1+5-20−1−5−1+500000000000000001+521−521+521−5200000000000000000
χ504444-2−1−5−1+5-24−1−5−1+5-24-2-2−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521−52−1−5−1+5-4-400000000-21+521−521+521−521+521−521+521+521−521−520021+51−5201+51−50000000000000000−1−52−1+52−1−52−1+5200000000000000000
χ514444-2−1+5−1−5-24−1+5−1−5-24-2-2−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521+52−1+5−1−54400000000-21−521+521−521+521−521+521−521−521+521+5200-2−1+5−1−5-20−1+5−1−500000000000000001−521+521−521+5200000000000000000
χ524444-2−1+5−1−5-24−1+5−1−5-24-2-2−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521+52−1+5−1−5-4-400000000-21−521+521−521+521−521+521−521−521+521+520021−51+5201−51+50000000000000000−1+52−1−52−1+52−1−5200000000000000000
χ53444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+51+521+521−521−52−1−5−1+51+521−520044-2-2−1−5−1−5−1+5−1+5-21+521−52−1−5−1+51+521−521+521+521−521−52000000-200−1−5−1+51+521+521−521−521+521+521−521−52000000000000000000000000000
χ54444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+51+521+521−521−52−1−5−1+51+521−5200-4-4221+51+51−51−5-21+521−52−1−5−1+51+521−521+521+521−521−520000002001+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ55444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−51−521−521+521+52−1+5−1−51−521+520044-2-2−1+5−1+5−1−5−1−5-21−521+52−1+5−1−51−521+521−521−521+521+52000000-200−1+5−1−51−521−521+521+521−521−521+521+52000000000000000000000000000
χ56444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−51−521−521+521+52−1+5−1−51−521+5200-4-4221−51−51+51+5-21−521+52−1+5−1−51−521+521−521−521+521+520000002001−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ57444-2-244-2-2441-2-2144-2-2-2-2-2-2-2-2-2-2-2-20000000000111-2-2111111440000000000000000000-2-2-2-2000000000000001100000
χ58444-2-244-2-2441-2-2144-2-2-2-2-2-2-2-2-2-2-2-20000000000111-2-2111111-4-40000000000000000000222200000000000000-1-100000
χ5944-44-2−1−5−1+5-24−1−5−1+5-2-42-21+51−5−1−5−1+51+521−521+51+51−51−51+521−52−1−5−1+54-40000000021+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200-2−1−5−1+5201+51−500000000000000001+521−52−1−52−1+5200000000000000000
χ6044-44-2−1−5−1+5-24−1−5−1+5-2-42-21+51−5−1−5−1+51+521−521+51+51−51−51+521−52−1−5−1+5-440000000021+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+520021+51−5-20−1−5−1+50000000000000000−1−52−1+521+521−5200000000000000000
χ6144-44-2−1+5−1−5-24−1+5−1−5-2-42-21−51+5−1+5−1−51−521+521−51−51+51+51−521+52−1+5−1−54-40000000021−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200-2−1+5−1−5201−51+500000000000000001−521+52−1+52−1−5200000000000000000
χ6244-44-2−1+5−1−5-24−1+5−1−5-2-42-21−51+5−1+5−1−51−521+521−51−51+51+51−521+52−1+5−1−5-440000000021−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520021−51+5-20−1+5−1−50000000000000000−1+52−1−521−521+5200000000000000000
χ6344-4-24−1−5−1+54-2−1−5−1+5-22-4-21+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+52−1−5−1+51+521−52004-4-2-21+51+51−51−521+521−521+51−51+521−52−1−52−1−52−1+52−1+52000000200−1−5−1+51+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ6444-4-24−1−5−1+54-2−1−5−1+5-22-4-21+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+52−1−5−1+51+521−5200-4422−1−5−1−5−1+5−1+521+521−521+51−51+521−52−1−52−1−52−1+52−1+52000000-2001+51−5−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000
χ6544-4-24−1+5−1−54-2−1+5−1−5-22-4-21−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−52−1+5−1−51−521+52004-4-2-21−51−51+51+521−521+521−51+51−521+52−1+52−1+52−1−52−1−52000000200−1+5−1−51−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ6644-4-24−1+5−1−54-2−1+5−1−5-22-4-21−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−52−1+5−1−51−521+5200-4422−1+5−1+5−1−5−1−521−521+521−51+51−521+52−1+52−1+52−1−52−1−52000000-2001−51+5−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000
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χ6844-4-2-244-2-2441221-4-4-2-2-2-22222-2-2-2-20000000000-1112211-1-1-1-1-44000000000000000000022-2-200000000000000-1100000
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χ704-4044−1−5−1+5-4-41+51−5400-400−1−5−1+5−1−5−1+500001+51−51+51−5000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470−1−5−1+5001+51−50000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000000
χ714-4044−1−5−1+5-4-41+51−5400-400−1−5−1+5−1−5−1+500001+51−51+51−50000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470−1−5−1+5001+51−500000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000000
χ724-4044−1+5−1−5-4-41−51+5400-400−1+5−1−5−1+5−1−500001−51+51−51+50000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590−1+5−1−5001−51+500000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000000
χ734-4044−1+5−1−5-4-41−51+5400-400−1+5−1−5−1+5−1−500001−51+51−51+5000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590−1+5−1−5001−51+50000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000000
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χ784-40-24−1−5−1+5-421+51−5-2002001+521−52−1−5−1+5ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ581+51−5−1−52−1+52000023−23−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4701+521−5200−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000000000
χ794-40-24−1−5−1+5-421+51−5-2002001+521−52−1−5−1+5ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ581+51−5−1−52−1+520000−23232ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4701+521−5200−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000000000000
χ804-40-24−1−5−1+5-421+51−5-2002001+521−52−1−5−1+5−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ581+51−5−1−52−1+52000023−232ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4701+521−5200−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000000000000
χ814-40-24−1−5−1+5-421+51−5-2002001+521−52−1−5−1+5−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ581+51−5−1−52−1+520000−2323−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4701+521−5200−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000000000
χ824-40-24−1+5−1−5-421−51+5-2002001−521+52−1+5−1−5−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ461−51+5−1+52−1−52000023−23−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5901−521+5200−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000000
χ834-40-24−1+5−1−5-421−51+5-2002001−521+52−1+5−1−5−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ461−51+5−1+52−1−520000−23232ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5901−521+5200−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000
χ844-40-24−1+5−1−5-421−51+5-2002001−521+52−1+5−1−5ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ461−51+5−1+52−1−52000023−232ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5901−521+5200−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000
χ854-40-24−1+5−1−5-421−51+5-2002001−521+52−1+5−1−5ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ461−51+5−1+52−1−520000−2323−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5901−521+5200−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000000
χ86888-4-4−2−25−2+25-4-4−2−25−2+252-4-42−2−25−2+251+51−51+51−51+51+51−51−51+51−51+51−500000000002−1−52−1+521+51−5−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000
χ87888-4-4−2+25−2−25-4-4−2+25−2−252-4-42−2+25−2−251−51+51−51+51−51−51+51+51−51+51−51+500000000002−1+52−1−521−51+5−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000
χ8888-8-4-4−2−25−2+25-4-4−2−25−2+2524422+252−251+51−51+51−5−1−5−1−5−1+5−1+51+51−51+51−50000000000-2−1−52−1+52−1−5−1+5−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000
χ8988-8-4-4−2+25−2−25-4-4−2+25−2−2524422−252+251−51+51−51+5−1+5−1+5−1−5−1−51−51+51−51+50000000000-2−1+52−1−52−1+5−1−5−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000
χ908-808-4−2−25−2+254-82+252−25-400400−2−25−2+251+51−50000−1−5−1+52+252−25000000000001+51−500−1−5−1+500000000000000000000000000000000000000000000000000
χ918-808-4−2+25−2−254-82−252+25-400400−2+25−2−251−51+50000−1+5−1−52−252+25000000000001−51+500−1+5−1−500000000000000000000000000000000000000000000000000
χ928-80-4-48844-8-8200-200-4-4-4-400004444000000000002200-2-200000000000000000000000000000000000000000000000000
χ938-80-4-4−2−25−2+25442+252−25200-2001+51−51+51−52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+5−1−5−1+500000000000−1−52−1+52001+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ580000000000000000000000000000000000000000000000
χ948-80-4-4−2−25−2+25442+252−25200-2001+51−51+51−5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+5−1−5−1+500000000000−1−52−1+52001+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ580000000000000000000000000000000000000000000000
χ958-80-4-4−2+25−2−25442−252+25200-2001−51+51−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5−1+5−1−500000000000−1+52−1−52001−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ460000000000000000000000000000000000000000000000
χ968-80-4-4−2+25−2−25442−252+25200-2001−51+51−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5−1+5−1−500000000000−1+52−1−52001−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ460000000000000000000000000000000000000000000000

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