Finite Group Databasebeta

← Group #13089009

Character table — Group #13089009

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222222222444444444444444444466666666888888888810101010121212121212121212121212121212121212181820202020202020242424243030303036363636606060609090
order122335566661010366661010151515153030303030303030222410101010151530303030303030304412126661010101012202030303030303030302412121212121212303060602224101020206661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111111111111111-11111-1-1-1-1-111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111
χ511111111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-11-1-11-1-1
χ611111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-11111-1-111111-1-1-11-1-1111111-1-1-1-1111-11-1111111-1-111-1-1-1-11-11111-1-1-111-1-1-11111-1-1-1-11-11-1-111-1-111-1-11-1-1111-1-1-11-111-1
χ1011-11111-1-111111-1-1-11-1-1111111-1-1-1-1111-11-1111111-1-111-1-1-1-1-11-1-111-1-1-111-1-1-11111-1-1-1-11-1-111-1-11111-1-1-111-111-1-11-11-1-11
χ1111-11111-1-111111-1-1-11-1-1111111-1-1-1-1111-1-11111111-1-111-1-1-1-11-111-11-1-1-1-1-11111111-1-1-1-1-111-1-111-1-1-1-1111-11-1-1-11111-1-1-11
χ1211-11111-1-111111-1-1-11-1-1111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-11-1-1-11-1-1-1-1-11111111-1-1-1-1-11-111-1-111-1-111-11-11-1-111-1-1111-1
χ1311-11111-1-111111-1-1-11-1-1111111-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-11-1111-111111-1-1-1-1-1-1-11111-111-1-111-1-111-1-1-11-11-1-111-1-111-11
χ1411-11111-1-111111-1-1-11-1-1111111-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-1-11-1-11-111111-1-1-1-1-1-1-11111-11-111-1-11111-1-11-11-1-1-11111-1-11-1
χ1511-11111-1-111111-1-1-11-1-1111111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-11-111-1-1111-1-1111-1-1-1-111111-11-1-111-1-1-1-111-111-111-1-11-11-11-1
χ1611-11111-1-111111-1-1-11-1-1111111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111111-1-111-1-111-1-1111-1-1111-1-1-11-11-11
χ1722222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+520000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52220000000−1−52−1+52−1−52−1+520000−1−52−1+52−1−52−1+52000000
χ1822222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-222−1−52−1+521+521−52-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200000001+521−521+521−5200001+521−521+521−52000000
χ1922222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200002-2-21+521−52−1−52−1+522−1−52−1+521+521+521−521−521+521+521−521−52-2-20000000−1−52−1+52−1−52−1+5200001+521−521+521−52000000
χ2022222−1−52−1+522222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000-2-2-21+521−521+521−52-21+521−521+521+521−521−521+521+521−521−522200000001+521−521+521−520000−1−52−1+52−1−52−1+52000000
χ2122222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000000−1+52−1−52−1+52−1−520000−1+52−1−52−1+52−1−52000000
χ2222222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-222−1+52−1−521−521+52-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200000001−521+521−521+5200001−521+521−521+52000000
χ2322222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200002-2-21−521+52−1+52−1−522−1+52−1−521−521−521+521+521−521−521+521+52-2-20000000−1+52−1−52−1+52−1−5200001−521+521−521+52000000
χ2422222−1+52−1−522222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-2-21−521+521−521+52-21−521+521−521−521+521+521−521−521+521+522200000001−521+521−521+520000−1+52−1−52−1+52−1−52000000
χ252222-122-1-1-1222-12-1-1-12222-1-1-1-1-1-1-1-12222002222-1-122-1-1-1-1-1-122220-1-12200000-1-1-1-1-1-1-1-100-1-12-1-1-1-10000220000000-1-1000
χ262222-122-1-1-1222-12-1-1-12222-1-1-1-1-1-1-1-12222002222-1-122-1-1-1-1-1-1-2-2-2-20-1-12200000-1-1-1-1-1-1-1-10011-211110000-2-2000000011000
χ272222-122-1-1-1222-12-1-1-12222-1-1-1-1-1-1-1-122-2-200-2-2-2-2-1-122-1-1-1-1-1-12222011-2-2000001111111100-1-12-1-1-1-10000-2-2000000011000
χ282222-122-1-1-1222-12-1-1-12222-1-1-1-1-1-1-1-122-2-200-2-2-2-2-1-122-1-1-1-1-1-1-2-2-2-2011-2-200000111111110011-211110000220000000-1-1000
χ29222-1222222-122-1-1-1-1-122-1-122222222-1-100220000-1-1-1-1-1-1-1-1-1-122-1-1-1000022-122000000000022-1-1-1-1-1-1-1-1-100220000-100-100
χ30222-1222222-122-1-1-1-1-122-1-122222222-1-100220000-1-1-1-1-1-1-1-1-1-1-2-211-1000022-1220000000000-2-211111-1-1-1-100-2-20000100100
χ31222-1222222-122-1-1-1-1-122-1-122222222-1-100-2-20000-1-1-1-1-1-1-1-1-1-122-1-110000-2-21-2-2000000000022-1-1-1-1-1111100-2-20000100100
χ32222-1222222-122-1-1-1-1-122-1-122222222-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-2-21110000-2-21-2-20000000000-2-211111111100220000-100-100
χ3322-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52000022-21+521−52−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−522-20000000−1−52−1+521+521−520000−1−52−1+521+521−52000000
χ3422-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-22-21+521−521+521−522−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2200000001+521−52−1−52−1+5200001+521−52−1−52−1+52000000
χ3522-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52-222-21+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−5200002-22−1−52−1+52−1−52−1+52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52-220000000−1−52−1+521+521−5200001+521−52−1−52−1+52000000
χ3622-222−1−52−1+52-2-222−1−52−1+522-2-2-221+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000-2-22−1−52−1+521+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-200000001+521−52−1−52−1+520000−1−52−1+521+521−52000000
χ3722-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+52000022-21−521+52−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+522-20000000−1+52−1−521−521+520000−1+52−1−521−521+52000000
χ3822-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-22-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2200000001−521+52−1+52−1−5200001−521+52−1+52−1−52000000
χ3922-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52-222-21−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+5200002-22−1+52−1−52−1+52−1−52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52-220000000−1+52−1−521−521+5200001−521+52−1+52−1−52000000
χ4022-222−1+52−1−52-2-222−1+52−1−522-2-2-221−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000-2-22−1+52−1−521−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-200000001−521+52−1+52−1−520000−1+52−1−521−521+52000000
χ4122-22-12211-1222-1-211-1-2-222-1-1-1-11111222-2002222-1-1-2-2-1-111112-2220-11-2-200000-1-1-1-1111100-11-2-1-11100002-20000000-11000
χ4222-22-12211-1222-1-211-1-2-222-1-1-1-11111222-2002222-1-1-2-2-1-11111-22-2-20-11-2-200000-1-1-1-11111001-1211-1-10000-2200000001-1000
χ4322-22-12211-1222-1-211-1-2-222-1-1-1-1111122-2200-2-2-2-2-1-1-2-2-1-111112-22201-122000001111-1-1-1-100-11-2-1-1110000-2200000001-1000
χ4422-22-12211-1222-1-211-1-2-222-1-1-1-1111122-2200-2-2-2-2-1-1-2-2-1-11111-22-2-201-122000001111-1-1-1-1001-1211-1-100002-20000000-11000
χ4522-2-1222-2-22-122-1111-1-2-2-1-12222-2-2-2-2-1-1002-20000-1-111-1-111112-2-1-1-10000221-2-200000000002-21-1-111-1-11100-220000100-100
χ4622-2-1222-2-22-122-1111-1-2-2-1-12222-2-2-2-2-1-1002-20000-1-111-1-11111-2211-10000221-2-20000000000-22-111-1-1-1-111002-20000-100100
χ4722-2-1222-2-22-122-1111-1-2-2-1-12222-2-2-2-2-1-100-220000-1-111-1-111112-2-1-110000-2-2-12200000000002-21-1-11111-1-1002-20000-100100
χ4822-2-1222-2-22-122-1111-1-2-2-1-12222-2-2-2-2-1-100-220000-1-111-1-11111-221110000-2-2-1220000000000-22-111-1-111-1-100-220000100-100
χ494444-2−1−5−1+5-2-2-24−1−5−1+5-24-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52−1−5−1+54400−1−5−1−5−1+5−1+51+521−52−1−5−1+51+521−521+521+521−521−5200000-2-2−1−5−1+5000001+521+521−521−521+521+521−521−52000000000000000000000000000
χ504444-2−1−5−1+5-2-2-24−1−5−1+5-24-2-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−52−1−5−1+5-4-4001+51+51−51−51+521−52−1−5−1+51+521−521+521+521−521−5200000221+51−500000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ514444-2−1+5−1−5-2-2-24−1+5−1−5-24-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52−1+5−1−54400−1+5−1+5−1−5−1−51−521+52−1+5−1−51−521+521−521−521+521+5200000-2-2−1+5−1−5000001−521−521+521+521−521−521+521+52000000000000000000000000000
χ524444-2−1+5−1−5-2-2-24−1+5−1−5-24-2-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+52−1+5−1−5-4-4001−51−51+51+51−521+52−1+5−1−51−521+521−521−521+521+5200000221−51+500000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ53444-24−1−5−1+5444-2−1−5−1+5-2-2-2-2-2−1−5−1+51+521−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521−52004400001+521−521+521−521+521−521+521+521−521−520000-20000−1−5−1+5-2−1−5−1+5000000000000000001+521−521+521−5200000000000000
χ54444-24−1−5−1+5444-2−1−5−1+5-2-2-2-2-2−1−5−1+51+521−52−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521−5200-4-400001+521−521+521−521+521−521+521+521−521−520000200001+51−521+51−500000000000000000−1−52−1+52−1−52−1+5200000000000000
χ55444-24−1+5−1−5444-2−1+5−1−5-2-2-2-2-2−1+5−1−51−521+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−521+52004400001−521+521−521+521−521+521−521−521+521+520000-20000−1+5−1−5-2−1+5−1−5000000000000000001−521+521−521+5200000000000000
χ56444-24−1+5−1−5444-2−1+5−1−5-2-2-2-2-2−1+5−1−51−521+52−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−521+5200-4-400001−521+521−521+521−521+521−521−521+521+520000200001−51+521−51+500000000000000000−1+52−1−52−1+52−1−5200000000000000
χ57444-2-244-2-2-2-2441-211144-2-2-2-2-2-2-2-2-2-2-2-20000000011-2-211111144-2-200000000000000000000-2-2-21111000000000000000000
χ58444-2-244-2-2-2-2441-211144-2-2-2-2-2-2-2-2-2-2-2-20000000011-2-2111111-4-42200000000000000000000222-1-1-1-1000000000000000000
χ5944-44-2−1−5−1+522-24−1−5−1+5-2-422-21+51−5−1−5−1+51+521−521+521−52−1−52−1−52−1+52−1+52−1−5−1+54-400−1−5−1−5−1+5−1+51+521−521+51−51+521−52−1−52−1−52−1+52−1+5200000-221+51−5000001+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ6044-44-2−1−5−1+522-24−1−5−1+5-2-422-21+51−5−1−5−1+51+521−521+521−52−1−52−1−52−1+52−1+52−1−5−1+5-44001+51+51−51−51+521−521+51−51+521−52−1−52−1−52−1+52−1+52000002-2−1−5−1+500000−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000
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χ6344-4-24−1−5−1+5-4-44-2−1−5−1+5-2222-21+51−51+521−52−1−5−1+5−1−5−1+51+51+51−51−51+521−52004-400001+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+520000-20000−1−5−1+521+51−5000000000000000001+521−52−1−52−1+5200000000000000
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χ6544-4-24−1+5−1−5-4-44-2−1+5−1−5-2222-21−51+51−521+52−1+5−1−5−1+5−1−51−51−51+51+51−521+52004-400001−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520000-20000−1+5−1−521−51+5000000000000000001−521+52−1+52−1−5200000000000000
χ6644-4-24−1+5−1−5-4-44-2−1+5−1−5-2222-21−51+51−521+52−1+5−1−5−1+5−1−51−51−51+51+51−521+5200-4400001−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−520000200001−51+5-2−1+5−1−500000000000000000−1+52−1−521−521+5200000000000000
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χ704-4044−1−5−1+500-4-41+51−54000-400−1−5−1+5−1−5−1+51+51−500001+51−50000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−5−1+5001+51−5000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000
χ714-4044−1−5−1+500-4-41+51−54000-400−1−5−1+5−1−5−1+51+51−500001+51−500002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−5−1+5001+51−50000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000000
χ724-4044−1+5−1−500-4-41−51+54000-400−1+5−1−5−1+5−1−51−51+500001−51+500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−5001−51+50000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000000
χ734-4044−1+5−1−500-4-41−51+54000-400−1+5−1−5−1+5−1−51−51+500001−51+50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1−5001−51+5000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000000
χ744-404-244−2i32i32-4-4-4-20−2i32i320044-2-222−2i32i3−2i32i3-4-400000000-2-20022−2i32i3−2i32i30000000000000000000000000000000000000000000000000
χ754-404-2442i3−2i32-4-4-4-202i3−2i320044-2-2222i3−2i32i3−2i3-4-400000000-2-200222i3−2i32i3−2i30000000000000000000000000000000000000000000000000
χ764-404-2−1−5−1+5−2i32i32-41+51−5-20−2i32i3200−1−5−1+51+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581+51−50000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521−5200−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ774-404-2−1−5−1+5−2i32i32-41+51−5-20−2i32i3200−1−5−1+51+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581+51−500002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521−5200−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ784-404-2−1−5−1+52i3−2i32-41+51−5-202i3−2i3200−1−5−1+51+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581+51−50000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+521−5200−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58000000000000000000000000000
χ794-404-2−1−5−1+52i3−2i32-41+51−5-202i3−2i3200−1−5−1+51+521−52−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581+51−500002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521−5200−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58000000000000000000000000000
χ804-404-2−1+5−1−5−2i32i32-41−51+5-20−2i32i3200−1+5−1−51−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461−51+500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+5200−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000−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
χ814-404-2−1+5−1−5−2i32i32-41−51+5-20−2i32i3200−1+5−1−51−521+52−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461−51+50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+5200−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000ζ2+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
χ824-404-2−1+5−1−52i3−2i32-41−51+5-202i3−2i3200−1+5−1−51−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−51+500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+5200−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000−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
χ834-404-2−1+5−1−52i3−2i32-41−51+5-202i3−2i3200−1+5−1−51−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461−51+50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+5200−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000ζ2+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
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χ894-40-2-2442i3−2i322-4-410−i3i3-100-2-2-2-2222i3−2i32i3−2i322000000001100-1-1−i3i3−i3i300−2323000000000000000000000003−33i−3i000000000000000000
χ90888-4-4−2−25−2+25-4-4-4-4−2−25−2+252-4222−2−25−2+251+51−51+51−51+51−51+51+51−51−51+51−500000000−1−52−1+521+51−5−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000
χ91888-4-4−2+25−2−25-4-4-4-4−2+25−2−252-4222−2+25−2−251−51+51−51+51−51+51−51−51+51+51−51+500000000−1+52−1−521−51+5−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000
χ9288-8-4-4−2−25−2+2544-4-4−2−25−2+2524-2-222+252−251+51−51+51−51+51−5−1−5−1−5−1+5−1+51+51−500000000−1−52−1+52−1−5−1+5−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000
χ9388-8-4-4−2+25−2−2544-4-4−2+25−2−2524-2-222−252+251−51+51−51+51−51+5−1+5−1+5−1−5−1−51−51+500000000−1+52−1−52−1+5−1−5−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000
χ948-80-48−2−25−2+2500-842+252−25-40004001+51−5−2−25−2+252+252−250000−1−5−1+5000000001+51−500−1−5−1+500000000000000000000000000000000000000000000000000000
χ958-80-48−2+25−2−2500-842−252+25-40004001−51+5−2+25−2−252−252+250000−1+5−1−5000000001−51+500−1+5−1−500000000000000000000000000000000000000000000000000000
χ968-80-4-4−2−25−2+25−4i34i3442+252−25202i3−2i3-2001+51−51+51−5−1−5−1+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−1+500000000−1−52−1+52001+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000000000000000000000
χ978-80-4-4−2−25−2+254i3−4i3442+252−2520−2i32i3-2001+51−51+51−5−1−5−1+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+500000000−1−52−1+52001+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000000000000000000000
χ988-80-4-4−2+25−2−25−4i34i3442−252+25202i3−2i3-2001−51+51−51+5−1+5−1−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−500000000−1+52−1−52001−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000000000000000000
χ998-80-4-4−2+25−2−254i3−4i3442−252+2520−2i32i3-2001−51+51−51+5−1+5−1−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−500000000−1+52−1−52001−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000000000000000000000

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