Finite Group Databasebeta

← Group #13089015

Character table — Group #13089015

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222222244444444444444444444666666668888888881010121212121212121212121212121212121212121212121212121218182020202030303030363636364040606060609090
order122335566101010101010366615151515303030303030303030303030444412121212615153030303030302412122020202020202020606060606060606060606060606060604466121222442020202061266121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-111-1-1111111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111-11-1-1-1
χ41111111111111111111111111111111111111-1-111-1-1111111111-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11-1111
χ511111111111111111111111111111111111-1-111-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-11-11-1-1-1-111-11-11-1-1
χ611111111111111111111111111111111111-1-111-1-111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-1-1-1-1-1-11-11-111
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1
χ911-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111-11-11111-11111-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-11-1-1-111-11
χ1011-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111-11-11111-11111-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1111-1-11-1
χ1111-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-111-1-1-1111-1-111-11-1
χ1211-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-1111-1-1-11111-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-1111-1-11-1-111-111-1-11-11
χ1311-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-111-1-1-111-11111-1-1-1-11-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-11-1-11-1-1111-11-1-111-1
χ1411-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-111-1-1-111-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-111-111-1-1-111-11-111-1-11
χ1511-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-11-111-1-1-11
χ1611-1111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-11111-1-1-11-1-1111-1
χ1722222−1−52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520022−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522200000000−1−52−1+52−1−52−1+5200000000
χ1822222−1−52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222-2-222-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2000000001+521−521+521−5200000000
χ1922222−1−52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-222-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-221+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2000000001+521−521+521−5200000000
χ2022222−1−52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522200000000−1−52−1+52−1−52−1+5200000000
χ2122222−1+52−1−5222−1+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+52−1−52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520022−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522200000000−1+52−1−52−1+52−1−5200000000
χ2222222−1+52−1−5222−1+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+52−1−52−1−5222-2-222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2000000001−521+521−521+5200000000
χ2322222−1+52−1−5222−1+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+52−1−52−1−52-2-222-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-221−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2000000001−521+521−521+5200000000
χ2422222−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522200000000−1+52−1−52−1+52−1−5200000000
χ252222-1222-1222222-12-1-12-12-122-1-122-1-12-12-1002200-1-1-1-1-1-1-1-1-1-1-1220-10000222200000000-1-1-1-1-1-1-1-1002-12-102020000-1-10-10-100
χ262222-1222-1222222-12-1-12-12-122-1-122-1-12-12-1002200-1-1-1-1-1-1-1-1-1-1-1-2-20-10000222200000000-1-1-1-1-1-1-1-100-21-210-20-2000011010100
χ272222-1222-1222222-12-1-12-12-122-1-122-1-12-12-100-2-20011-1-1-1-1-1-1-1-1-122010000-2-2-2-20000000011111111002-12-10-20-20000-1-1010100
χ282222-1222-1222222-12-1-12-12-122-1-122-1-12-12-100-2-20011-1-1-1-1-1-1-1-1-1-2-2010000-2-2-2-2000000001111111100-21-2102020000110-10-100
χ29222-1222-12222222-1-12-1-12-12-1-122-1-122-12-122200-1-100-1-1-1-1-1-1-1-1-122-1022220000-1-1-1-1-1-1-1-10000000000-12-1220200000-1-1-10-1000
χ30222-1222-12222222-1-12-1-12-12-1-122-1-122-12-122200-1-100-1-1-1-1-1-1-1-1-1-2-2-1022220000-1-1-1-1-1-1-1-100000000001-21-2-20-20000011101000
χ31222-1222-12222222-1-12-1-12-12-1-122-1-122-12-12-2-2001100-1-1-1-1-1-1-1-1-12210-2-2-2-20000111111110000000000-12-12-20-200000-1-1101000
χ32222-1222-12222222-1-12-1-12-12-1-122-1-122-12-12-2-2001100-1-1-1-1-1-1-1-1-1-2-210-2-2-2-200001111111100000000001-21-22020000011-10-1000
χ3322-222−1−52−1+52221+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-22-22222-2−1−52−1+52−1−52−1+521+521+521−521−5200-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-200000000−1−52−1+521+521−5200000000
χ3422-222−1−52−1+52221+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-2222-2-2-2−1−52−1+52−1−52−1+521+521+521−521−5200-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22000000001+521−52−1−52−1+5200000000
χ3522-222−1−52−1+52221+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-222-2-2-222-2−1−52−1+52−1−52−1+521+521+521−521−52002-21+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-22000000001+521−52−1−52−1+5200000000
χ3622-222−1−52−1+52221+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-22-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−5200221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-200000000−1−52−1+521+521−5200000000
χ3722-222−1+52−1−52221−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-22-22222-2−1+52−1−52−1+52−1−521−521−521+521+5200-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-200000000−1+52−1−521−521+5200000000
χ3822-222−1+52−1−52221−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-2222-2-2-2−1+52−1−52−1+52−1−521−521−521+521+5200-22−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22000000001−521+52−1+52−1−5200000000
χ3922-222−1+52−1−52221−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-222-2-2-222-2−1+52−1−52−1+52−1−521−521−521+521+52002-21−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22000000001−521+52−1+52−1−5200000000
χ4022-222−1+52−1−52221−521−521+521+52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-22-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+5200221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-200000000−1+52−1−521−521+5200000000
χ4122-22-1222-1-2-2-2-222-1-21-12-12-1-2-211-2-2112-12-1002-200-1-11-1-1-1-111112-201000022-2-200000000-1-1-1-11111002-1-210-2020000-11010-100
χ4222-22-1222-1-2-2-2-222-1-21-12-12-1-2-211-2-2112-12-1002-200-1-11-1-1-1-11111-2201000022-2-200000000-1-1-1-1111100-212-1020-200001-10-10100
χ4322-22-1222-1-2-2-2-222-1-21-12-12-1-2-211-2-2112-12-100-2200111-1-1-1-111112-20-10000-2-222000000001111-1-1-1-1002-1-21020-20000-110-10100
χ4422-22-1222-1-2-2-2-222-1-21-12-12-1-2-211-2-2112-12-100-2200111-1-1-1-11111-220-10000-2-222000000001111-1-1-1-100-212-10-20200001-1010-100
χ4522-2-1222-12-2-2-2-222-11-2-1-12-1211-2-211-2-2-12-122-200-1-1001-1-1-1-111112-21022-2-20000-1-1-1-111110000000000-121-2-20200000-1110-1000
χ4622-2-1222-12-2-2-2-222-11-2-1-12-1211-2-211-2-2-12-122-200-1-1001-1-1-1-11111-221022-2-20000-1-1-1-1111100000000001-2-1220-2000001-1-101000
χ4722-2-1222-12-2-2-2-222-11-2-1-12-1211-2-211-2-2-12-12-220011001-1-1-1-111112-2-10-2-22200001111-1-1-1-10000000000-121-220-200000-11-101000
χ4822-2-1222-12-2-2-2-222-11-2-1-12-1211-2-211-2-2-12-12-220011001-1-1-1-11111-22-10-2-22200001111-1-1-1-100000000001-2-12-202000001-110-1000
χ494444-2−1−5−1+54-2−1−5−1−5−1+5−1+5−1−5−1+5-24-2-2−1−51+52−1+51−52−1−5−1−51+521+52−1+5−1+51−521−52−1−51+52−1+51−52004400-2-2-21+521−521+521−521+521+521−521−52000-20000−1−5−1+5−1−5−1+5000000001+521+521−521−521+521+521−521−520000000000000000000000
χ504444-2−1−5−1+54-2−1−5−1−5−1+5−1+5−1−5−1+5-24-2-2−1−51+52−1+51−52−1−5−1−51+521+52−1+5−1+51−521−52−1−51+52−1+51−5200-4-40022-21+521−521+521−521+521+521−521−52000200001+51−51+51−500000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ514444-2−1+5−1−54-2−1+5−1+5−1−5−1−5−1+5−1−5-24-2-2−1+51−52−1−51+52−1+5−1+51−521−52−1−5−1−51+521+52−1+51−52−1−51+52004400-2-2-21−521+521−521+521−521−521+521+52000-20000−1+5−1−5−1+5−1−5000000001−521−521+521+521−521−521+521+520000000000000000000000
χ524444-2−1+5−1−54-2−1+5−1+5−1−5−1−5−1+5−1−5-24-2-2−1+51−52−1−51+52−1+5−1+51−521−52−1−5−1−51+521+52−1+51−52−1−51+5200-4-40022-21−521+521−521+521−521−521+521+52000200001−51+51−51+500000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ53444-24−1−5−1+5-24−1−5−1−5−1+5−1+5−1−5−1+5-2-24-21+52−1−51−52−1+51+521+52−1−5−1−51−521−52−1+5−1+51+52−1−51−52−1+54400-2-200-21+521−521+521−521+521+521−521−5200-20−1−5−1+5−1−5−1+500001+521+521−521−521+521+521−521−52000000000000000000000000000000
χ54444-24−1−5−1+5-24−1−5−1−5−1+5−1+5−1−5−1+5-2-24-21+52−1−51−52−1+51+521+52−1−5−1−51−521−52−1+5−1+51+52−1−51−52−1+5-4-4002200-21+521−521+521−521+521+521−521−5200201+51−51+51−50000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000
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χ904-40-24−1+5−1−52-42ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+5-20021−52−1+51+52−1−5−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+521−5−1−521+5000023−230001−521+52−1+52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000ζ7−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−ζ59000000000000000000000000000000
χ914-40-24−1+5−1−52-42ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+5-20021−52−1+51+52−1−5−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+521−5−1−521+50000−23230001−521+52−1+52−1−52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000−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+ζ59000000000000000000000000000000
χ924-40-24−1+5−1−52-4−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5-20021−52−1+51+52−1−5ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+521−5−1−521+5000023−230001−521+52−1+52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000ζ7−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+ζ59000000000000000000000000000000
χ934-40-24−1+5−1−52-4−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51+5-20021−52−1+51+52−1−5ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+521−5−1−521+50000−23230001−521+52−1+52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000−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−ζ59000000000000000000000000000000
χ94888-4-4−2−25−2+25-4-4−2−25−2−25−2+25−2+25−2−25−2+252-4-421+51+51−51−51+51+51+51+51−51−51−51−51+51+51−51−5000000002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000
χ95888-4-4−2+25−2−25-4-4−2+25−2+25−2−25−2−25−2+25−2−252-4-421−51−51+51+51−51−51−51−51+51+51+51+51−51−51+51+5000000002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000
χ9688-8-4-4−2−25−2+25-4-42+252+252−252−25−2−25−2+2524421+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−500000000-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000
χ9788-8-4-4−2+25−2−25-4-42−252−252+252+25−2+25−2−2524421−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+500000000-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000
χ988-80-4-488440000-8-8200-2-4-4-4-400000000444400000000022-2-2000000000000000000000000000000000000000000000000000000
χ998-80-4-4−2−25−2+2544−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ582+252−25200-21+51+51−51−52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−5−1−5−1+5−1+5000000000−1−52−1+521+521−52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000000000000000000000000000000000000000
χ1008-80-4-4−2−25−2+25444ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ582+252−25200-21+51+51−51−5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−5−1−5−1+5−1+5000000000−1−52−1+521+521−52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000000000000000000000000000000000000000
χ1018-80-4-4−2+25−2−25444ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ462−252+25200-21−51−51+51+5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1+5−1−5−1−5000000000−1+52−1−521−521+52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000000000000000000000000000000000000000000000000
χ1028-80-4-4−2+25−2−2544−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+25200-21−51−51+51+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1+5−1−5−1−5000000000−1+52−1−521−521+52−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000000000000000000000000000000000000000000000000

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