Finite Group Databasebeta

← Group #13088994

Character table — Group #13088994

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222244444444444444444466666666668888888888810101212121212121212121212121212121212181820202020242424243030303030303636363640406060609090
order122335566101036661010151515153030303030303030222466101010106151530303030303030302466101010101220203030303030303030246612123030606024441212101020206126121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11111111111111111111-1111-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11-1-1
χ611111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111
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
χ911-1111111111-1-11-1-1111111-1-1-1-1111-11-111-1-1-1-1-111-1-111-1-1-1-11-11-11111-1-1-11111-1-1-1-1-1111-1-111-1-11-11-1-1-1-1-1111-11-111-1
χ1011-1111111111-1-11-1-1111111-1-1-1-1111-11-111-1-1-1-1-111-1-111-1-1-1-1-111-11111-1-1-11111-1-1-1-1-11-1-11111-1-1-11-1111-1-111-11-11-1-11
χ1111-1111111111-1-11-1-1111111-1-1-1-1111-1-1111-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-11111111-1-1-1-11-111-1-1-1-1111-1-111111-1-11-11-1-1-11
χ1211-1111111111-1-11-1-1111111-1-1-1-1111-1-1111-1-1-1-1-111-1-111-1-1-1-1-11-1-111-1-11111111-1-1-1-11-1-1-111-1-111-111-1-1-111-1-1-11-1111-1
χ1311-1111111111-1-11-1-1111111-1-1-1-111-111-1-1-11111-111-1-111-1-1-1-11-111-1-111-1-1-1-1-1-1-111111-111-1-111-1-1-111-1-1-111-1-11-1-111-11
χ1411-1111111111-1-11-1-1111111-1-1-1-111-111-1-1-11111-111-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1-111111-1-1-11111-1-11-1-111111-1-1-111-1-11-1
χ1511-1111111111-1-11-1-1111111-1-1-1-111-11-11-1-11111-111-1-111-1-1-1-11-1-11-1-1-1-1111-1-1-1-11111-1111-1-1-1-111-11-1111-1-1111-1-11-11-1
χ1611-1111111111-1-11-1-1111111-1-1-1-111-11-11-1-11111-111-1-111-1-1-1-1-11-11-1-1-1-1111-1-1-1-11111-11-1-111-1-1111-11-1-1-1-1-111-111-11-11
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+520022−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5222-2-222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-22−1−52−1+521+521−52-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200001+521−521+521−520000001+521−521+521−520000000
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+52-2-222-2-21+521+521−521−522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002-21+521−52−1−52−1+522−1−52−1+521+521+521−521−521+521+521−521−52-2-20000−1−52−1+52−1−52−1+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+5200-2-21+521−521+521−52-21+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+52−1−52−1−520022−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000−1+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+52−1−5222-2-222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-22−1+52−1−521−521+52-21−521+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
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+52−1−52-2-222-2-21−521−521+521+522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002-21−521+52−1+52−1−522−1+52−1−521−521−521+521+521−521−521+521+52-2-20000−1+52−1−52−1+52−1−520000001−521+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+52−1−52−1−5200-2-21−521+521−521+52-21−521+521−521−521+521+521−521−521+521+522200001−521+521−521+52000000−1+52−1−52−1+52−1−520000000
χ252222-122-1222-12-1-12222-1-1-1-1-1-1-1-1222200-1-12222-1-1-122-1-1-1-1-1-1220-12200000-1-1-1-1-1-1-1-1002-1-1200002200000000-1-1-1-1000
χ262222-122-1222-12-1-12222-1-1-1-1-1-1-1-1222200-1-12222-1-1-122-1-1-1-1-1-1-2-20-12200000-1-1-1-1-1-1-1-100-211-20000-2-2000000001111000
χ272222-122-1222-12-1-12222-1-1-1-1-1-1-1-122-2-20011-2-2-2-2-1-1-122-1-1-1-1-1-12201-2-20000011111111002-1-120000-2-200000000-1-111000
χ282222-122-1222-12-1-12222-1-1-1-1-1-1-1-122-2-20011-2-2-2-2-1-1-122-1-1-1-1-1-1-2-201-2-2000001111111100-211-20000220000000011-1-1000
χ29222-12222-122-1-12-122-1-122222222-1-10022000000-1-1-1-1-1-1-1-1-1-1-122-100022-1220000000000-122-1-1-1-1-10022-1-10000-1-100-100
χ30222-12222-122-1-12-122-1-122222222-1-10022000000-1-1-1-1-1-1-1-1-1-1-1-2-2-100022-12200000000001-2-21-1-1-1-100-2-21100001100100
χ31222-12222-122-1-12-122-1-122222222-1-100-2-2000000-1-1-1-1-1-1-1-1-1-1-1221000-2-21-2-20000000000-122-1111100-2-2110000-1-100100
χ32222-12222-122-1-12-122-1-122222222-1-100-2-2000000-1-1-1-1-1-1-1-1-1-1-1-2-21000-2-21-2-200000000001-2-2111110022-1-100001100-100
χ3322-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522-22-2221+521+521−521−52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−52002-2−1−52−1+52−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52-220000−1−52−1+521+521−520000001+521−52−1−52−1+520000000
χ3422-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522-2-22221+521+521−521−52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−5200-2-2−1−52−1+521+521−522−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-200001+521−52−1−52−1+52000000−1−52−1+521+521−520000000
χ3522-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52-222-2-2-2−1−52−1−52−1+52−1+52-2−1−52−1+521+521−52−1−52−1+521+521+521−521−5200221+521−52−1−52−1+52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+522-20000−1−52−1+521+521−52000000−1−52−1+521+521−520000000
χ3622-222−1−52−1+5222−1−52−1+522-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+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+521−521−5200-221+521−521+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2200001+521−52−1−52−1+520000001+521−52−1−52−1+520000000
χ3722-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+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+52002-2−1+52−1−52−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52-220000−1+52−1−521−521+520000001−521+52−1+52−1−520000000
χ3822-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−522-2-22221−521−521+521+52-2−1+52−1−521−521+52−1+52−1−521−521−521+521+5200-2-2−1+52−1−521−521+522−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-200001−521+52−1+52−1−52000000−1+52−1−521−521+520000000
χ3922-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52-222-2-2-2−1+52−1+52−1−52−1−52-2−1+52−1−521−521+52−1+52−1−521−521−521+521+5200221−521+52−1+52−1−52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−522-20000−1+52−1−521−521+52000000−1+52−1−521−521+520000000
χ4022-222−1+52−1−5222−1+52−1−522-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+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+5200-221−521+521−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2200001−521+52−1+52−1−520000001−521+52−1+52−1−520000000
χ4122-22-122-1222-1-21-1-2-222-1-1-1-11111222-200-1-1-2-2-2-21-1-1-2-2-1-111112-2012200000-1-1-1-11111002-11-200002-200000000-11-11000
χ4222-22-122-1222-1-21-1-2-222-1-1-1-11111222-200-1-1-2-2-2-21-1-1-2-2-1-11111-22012200000-1-1-1-1111100-21-120000-22000000001-11-1000
χ4322-22-122-1222-1-21-1-2-222-1-1-1-1111122-22001122221-1-1-2-2-1-111112-20-1-2-2000001111-1-1-1-1002-11-20000-2200000000-111-1000
χ4422-22-122-1222-1-21-1-2-222-1-1-1-1111122-22001122221-1-1-2-2-1-11111-220-1-2-2000001111-1-1-1-100-21-1200002-2000000001-1-11000
χ4522-2-12222-122-11-2-1-2-2-1-12222-2-2-2-2-1-1002-20000001-1-111-1-111112-2-1000221-2-20000000000-12-21-1-111002-2110000-1100-100
χ4622-2-12222-122-11-2-1-2-2-1-12222-2-2-2-2-1-1002-20000001-1-111-1-11111-22-1000221-2-200000000001-22-1-1-11100-22-1-100001-100100
χ4722-2-12222-122-11-2-1-2-2-1-12222-2-2-2-2-1-100-220000001-1-111-1-111112-21000-2-2-1220000000000-12-2111-1-100-22-1-10000-1100100
χ4822-2-12222-122-11-2-1-2-2-1-12222-2-2-2-2-1-100-220000001-1-111-1-11111-221000-2-2-12200000000001-22-111-1-1002-21100001-100-100
χ494444-2−1−5−1+5-24−1−5−1+5-24-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52−1−5−1+54400-2-2−1−5−1−5−1+5−1+5-21+521−52−1−5−1+51+521−521+521+521−521−52000-2−1−5−1+5000001+521+521−521−521+521+521−521−52000000000000000000000000000
χ504444-2−1−5−1+5-24−1−5−1+5-24-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52−1−5−1+5-4-400221+51+51−51−5-21+521−52−1−5−1+51+521−521+521+521−521−5200021+51−500000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ514444-2−1+5−1−5-24−1+5−1−5-24-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52−1+5−1−54400-2-2−1+5−1+5−1−5−1−5-21−521+52−1+5−1−51−521+521−521−521+521+52000-2−1+5−1−5000001−521−521+521+521−521−521+521+52000000000000000000000000000
χ524444-2−1+5−1−5-24−1+5−1−5-24-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52−1+5−1−5-4-400221−51−51+51+5-21−521+52−1+5−1−51−521+521−521−521+521+5200021−51+500000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ53444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521−520044000000-21+521−521+521−521+521−521+521+521−521−5200-2000−1−5−1+5-2−1−5−1+5000000000000001+521−521+521−5200000000000000000
χ54444-24−1−5−1+54-2−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521−5200-4-4000000-21+521−521+521−521+521−521+521+521−521−520020001+51−521+51−500000000000000−1−52−1+52−1−52−1+5200000000000000000
χ55444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−521+520044000000-21−521+521−521+521−521+521−521−521+521+5200-2000−1+5−1−5-2−1+5−1−5000000000000001−521+521−521+5200000000000000000
χ56444-24−1+5−1−54-2−1+5−1−5-2-24-2−1+5−1−51−521+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−521+5200-4-4000000-21−521+521−521+521−521+521−521−521+521+520020001−51+521−51+500000000000000−1+52−1−52−1+52−1−5200000000000000000
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+521−52−1−52−1−52−1+52−1+52−1−5−1+54-400-2-21+51+51−51−521+521−521+51−51+521−52−1−52−1−52−1+52−1+520002−1−5−1+5000001+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ6044-44-2−1−5−1+5-24−1−5−1+5-2-42-21+51−5−1−5−1+51+521−521+521−52−1−52−1−52−1+52−1+52−1−5−1+5-440022−1−5−1−5−1+5−1+521+521−521+51−51+521−52−1−52−1−52−1+52−1+52000-21+51−500000−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000
χ6144-44-2−1+5−1−5-24−1+5−1−5-2-42-21−51+5−1+5−1−51−521+521−521+52−1+52−1+52−1−52−1−52−1+5−1−54-400-2-21−51−51+51+521−521+521−51+51−521+52−1+52−1+52−1−52−1−520002−1+5−1−5000001−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ6244-44-2−1+5−1−5-24−1+5−1−5-2-42-21−51+5−1+5−1−51−521+521−521+52−1+52−1+52−1−52−1−52−1+5−1−5-440022−1+5−1+5−1−5−1−521−521+521−51+51−521+52−1+52−1+52−1−52−1−52000-21−51+500000−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000
χ6344-4-24−1−5−1+54-2−1−5−1+5-22-4-21+51−51+521−52−1−5−1+5−1−5−1+51+51+51−51−51+521−52004-400000021+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200-2000−1−5−1+521+51−5000000000000001+521−52−1−52−1+5200000000000000000
χ6444-4-24−1−5−1+54-2−1−5−1+5-22-4-21+51−51+521−52−1−5−1+5−1−5−1+51+51+51−51−51+521−5200-4400000021+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+520020001+51−5-2−1−5−1+500000000000000−1−52−1+521+521−5200000000000000000
χ6544-4-24−1+5−1−54-2−1+5−1−5-22-4-21−51+51−521+52−1+5−1−5−1+5−1−51−51−51+51+51−521+52004-400000021−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200-2000−1+5−1−521−51+5000000000000001−521+52−1+52−1−5200000000000000000
χ6644-4-24−1+5−1−54-2−1+5−1−5-22-4-21−51+51−521+52−1+5−1−5−1+5−1−51−51−51+51+51−521+5200-4400000021−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520020001−51+5-2−1+5−1−500000000000000−1+52−1−521−521+5200000000000000000
χ6744-4-2-244-2-2441221-4-4-2-2-2-2-2-22222-2-20000000000-1112211-1-1-1-14-40000000000000000000-2-222000000000000001-100000
χ6844-4-2-244-2-2441221-4-4-2-2-2-2-2-22222-2-20000000000-1112211-1-1-1-1-44000000000000000000022-2-200000000000000-1100000
χ694-404444-4-4-4-4400-4004444-4-40000-4-4000000000004400-4-400000000000000000000000000000000000000000000000000
χ704-4044−1−5−1+5-4-41+51−5400-400−1−5−1+5−1−5−1+51+51−500001+51−5000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580−1−5−1+5001+51−50000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000000000000
χ714-4044−1−5−1+5-4-41+51−5400-400−1−5−1+5−1−5−1+51+51−500001+51−50000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580−1−5−1+5001+51−500000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000000000000
χ724-4044−1+5−1−5-4-41−51+5400-400−1+5−1−5−1+5−1−51−51+500001−51+50000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460−1+5−1−5001−51+500000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000000000000000000000000
χ734-4044−1+5−1−5-4-41−51+5400-400−1+5−1−5−1+5−1−51−51+500001−51+5000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460−1+5−1−5001−51+50000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000000000000000000000000
χ744-404-2442-4-4-4-20020044-2-2220000-4-40000−2i32i300000-2-20022000000000000000−2i32i3−2i32i30000000000000000000000000000000
χ754-404-2442-4-4-4-20020044-2-2220000-4-400002i3−2i300000-2-200220000000000000002i3−2i32i3−2i30000000000000000000000000000000
χ764-404-2−1−5−1+52-41+51−5-200200−1−5−1+51+521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ581+51−50000−2i32i3−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5801+521−5200−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000000000
χ774-404-2−1−5−1+52-41+51−5-200200−1−5−1+51+521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ581+51−500002i3−2i32ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5801+521−5200−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000000000
χ784-404-2−1−5−1+52-41+51−5-200200−1−5−1+51+521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ581+51−50000−2i32i32ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5801+521−5200−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000000000
χ794-404-2−1−5−1+52-41+51−5-200200−1−5−1+51+521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ581+51−500002i3−2i3−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5801+521−5200−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000000000
χ804-404-2−1+5−1−52-41−51+5-200200−1+5−1−51−521+52−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ461−51+50000−2i32i32ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4601−521+5200−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000ζ2−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−ζ46000000000000000000000000000
χ814-404-2−1+5−1−52-41−51+5-200200−1+5−1−51−521+52−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ461−51+500002i3−2i3−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4601−521+5200−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000−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+ζ46000000000000000000000000000
χ824-404-2−1+5−1−52-41−51+5-200200−1+5−1−51−521+52−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ461−51+50000−2i32i3−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4601−521+5200−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000ζ2−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+ζ46000000000000000000000000000
χ834-404-2−1+5−1−52-41−51+5-200200−1+5−1−51−521+52−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ461−51+500002i3−2i32ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4601−521+5200−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000−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−ζ46000000000000000000000000000
χ844-40-2444-42-4-4-200200-2-244-4-400002200000000000-2-20022000000000000000000000000000000000000023−2300000000000
χ854-40-2444-42-4-4-200200-2-244-4-400002200000000000-2-200220000000000000000000000000000000000000−232300000000000
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+51−51+51−5−1−5−1−5−1+5−1+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+51−51+5−1+5−1+5−1−5−1−51−51+50000000000-2−1+52−1−52−1+5−1−5−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000
χ908-80-48−2−25−2+25-842+252−25-4004001+51−5−2−25−2+252+252−250000−1−5−1+5000000000001+51−500−1−5−1+500000000000000000000000000000000000000000000000000
χ918-80-48−2+25−2−25-842−252+25-4004001−51+5−2+25−2−252−252+250000−1+5−1−5000000000001−51+500−1+5−1−500000000000000000000000000000000000000000000000000
χ928-80-4-48844-8-8200-200-4-4-4-444000044000000000002200-2-200000000000000000000000000000000000000000000000000
χ938-80-4-4−2−25−2+25442+252−25200-2001+51−51+51−5−1−5−1+52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+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+51−5−1−5−1+5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+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+5−1+5−1−5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+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+5−1+5−1−52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+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.