Finite Group Databasebeta

← Group #13088957

Character table — Group #13088957

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222222244444444444444444444666666668888888881010121212121212121212121212121212121212121212121212121218182020202030303030363636364040606060609090
order123345566101020202020361212151515153030303060606060606060602244661212121515303060606060446101010101220202020303030303030303060606060606060602412121212224410102020121266121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-11-111-1-111111111111-111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111-11-111-1-1111111111-1-1-111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111111111111-11-11-1-111111111111111-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111-11-11-1-111111111111-1-11-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
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
χ91111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1111-11-11-11-1
χ101111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-1-111-11-11-11-11
χ111111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-111111-11111-1-1-1-11-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-11-1-111-111-1-11-1-111-1-11
χ121111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-111111-11111-1-1-1-1-11-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-1111-1-1-111-1-111-1
χ131111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-111111-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1-1111-1-11-11-1-11-11
χ141111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-111111-1-1-1-1-1-111111111-1-1-1-11-1-11-11-111-111-1-1-11-111-11-1
χ151111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-111-11-1-11-11-1-1111-1-11-111-1
χ161111-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-11-11-111-11-1-1-111-111-11-1-11
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+52002−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+522-22-222-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2−1−52−1+521+521−522−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2000000001+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+52-22-22-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520021+521−52−1−52−1+52-21+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+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+5200-21+521−521+521−52-21+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+52−1−52−1−52002−1+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+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+52−1−52−1−52−1−52−1−522-22-222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2−1+52−1−521−521+522−1+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+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+52−1−52−1−52−1−52−1−52-22-22-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520021−521+52−1+52−1−52-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2000000001−521+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+52−1−52−1−5200-21−521+521−521+52-21−521+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
χ252222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-222-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52002−1−52−1+52−1−52−1+52-21+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+521−521−52-22000000001+521−52−1−52−1+5200000000
χ262222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-222222-2−1−52−1+52−1−52−1+521+521+521−521−5200-2−1−52−1+521+521−52-21+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+522-200000000−1−52−1+521+521−5200000000
χ272222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−520021+521−52−1−52−1+522−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-200000000−1−52−1+521+521−5200000000
χ282222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-222-2-222-2−1−52−1+52−1−52−1+521+521+521−521−5200-21+521−521+521−522−1−52−1+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+52-22000000001+521−52−1−52−1+5200000000
χ292222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-222-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52002−1+52−1−52−1+52−1−52-21−521+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+52-22000000001−521+52−1+52−1−5200000000
χ302222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-222222-2−1+52−1−52−1+52−1−521−521−521+521+5200-2−1+52−1−521−521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-200000000−1+52−1−521−521+5200000000
χ312222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+520021−521+52−1+52−1−522−1+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+522-200000000−1+52−1−521−521+5200000000
χ322222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-222-2-222-2−1+52−1−52−1+52−1−521−521−521+521+5200-21−521+521−521+522−1+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+52−1−52−1−52-22000000001−521+52−1+52−1−5200000000
χ33222-1222-12222222-1-1-122-12-12-12-122-1-122-1-1020200-1-1-1-1-1-1-1-1-1-1-122-10022000220000-1-1-1-10000-1-1-1-100-1-12222000000-1-1-1-10000
χ34222-1222-12222222-1-1-122-12-12-12-122-1-122-1-1020200-1-1-1-1-1-1-1-1-1-1-1-2-2-10022000220000-1-1-1-10000-1-1-1-10011-2-2-2-200000011110000
χ35222-1222-12222222-1-1-122-12-12-12-122-1-122-1-10-20-20011-1-1-1-1-1-1-1-1-122100-2-2000-2-2000011110000111100-1-122-2-2000000-1-1110000
χ36222-1222-12222222-1-1-122-12-12-12-122-1-122-1-10-20-20011-1-1-1-1-1-1-1-1-1-2-2100-2-2000-2-200001111000011110011-2-22200000011-1-10000
χ37222-1-222-1222-2-2-2-2-1-11-22-12-12-12-1-2-211-2-211020-200111-1-1-1-111112-2-10022000-2-20000-1-1-1-10000111100-112-22-2000000-11-110000
χ38222-1-222-1222-2-2-2-2-1-11-22-12-12-12-1-2-211-2-211020-200111-1-1-1-11111-22-10022000-2-20000-1-1-1-100001111001-1-22-220000001-11-10000
χ39222-1-222-1222-2-2-2-2-1-11-22-12-12-12-1-2-211-2-2110-20200-1-11-1-1-1-111112-2100-2-200022000011110000-1-1-1-100-112-2-22000000-111-10000
χ40222-1-222-1222-2-2-2-2-1-11-22-12-12-12-1-2-211-2-2110-20200-1-11-1-1-1-11111-22100-2-200022000011110000-1-1-1-1001-1-222-20000001-1-110000
χ4122-122222-1222222-1-12-1-12-12-12-12-1-122-1-1222020-1-100-1-1-1-1-1-1-1-1-12202200-12200-1-1-1-10000-1-1-1-100000022-1-100220000-1-100-1-100
χ4222-122222-1222222-1-12-1-12-12-12-12-1-122-1-1222020-1-100-1-1-1-1-1-1-1-1-1-2-202200-12200-1-1-1-10000-1-1-1-1000000-2-21100-2-2000011001100
χ4322-122222-1222222-1-12-1-12-12-12-12-1-122-1-122-20-201100-1-1-1-1-1-1-1-1-1220-2-2001-2-20011110000111100000022-1-100-2-20000-1-1001100
χ4422-122222-1222222-1-12-1-12-12-12-12-1-122-1-122-20-201100-1-1-1-1-1-1-1-1-1-2-20-2-2001-2-200111100001111000000-2-211002200001100-1-100
χ4522-12-2222-122-2-2-2-2-1-1-21-12-12-12-1211-2-211-2-220-20-1-1001-1-1-1-111112-2022001-2-200-1-1-1-1000011110000002-2-11002-20000-1100-1100
χ4622-12-2222-122-2-2-2-2-1-1-21-12-12-12-1211-2-211-2-220-20-1-1001-1-1-1-11111-22022001-2-200-1-1-1-100001111000000-221-100-2200001-1001-100
χ4722-12-2222-122-2-2-2-2-1-1-21-12-12-12-1211-2-211-2-2-202011001-1-1-1-111112-20-2-200-1220011110000-1-1-1-10000002-2-1100-220000-11001-100
χ4822-12-2222-122-2-2-2-2-1-1-21-12-12-12-1211-2-211-2-2-202011001-1-1-1-11111-220-2-200-1220011110000-1-1-1-1000000-221-1002-200001-100-1100
χ49444-24−1−5−1+5-24−1−5−1+5−1−5−1−5−1+5−1+5-2-2-24−1−51+52−1+51−52−1−51+52−1+51−52−1−5−1−51+521+52−1+5−1+51−521−52040400-2-2-21+521−521+521−521+521+521−521−5200-200−1−5−1+5000−1−5−1+500001+521+521−521−5200001+521+521−521−520000000000000000000000
χ50444-24−1−5−1+5-24−1−5−1+5−1−5−1−5−1+5−1+5-2-2-24−1−51+52−1+51−52−1−51+52−1+51−52−1−5−1−51+521+52−1+5−1+51−521−520-40-40022-21+521−521+521−521+521+521−521−52002001+51−50001+51−50000−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+520000000000000000000000
χ51444-24−1+5−1−5-24−1+5−1−5−1+5−1+5−1−5−1−5-2-2-24−1+51−52−1−51+52−1+51−52−1−51+52−1+5−1+51−521−52−1−5−1−51+521+52040400-2-2-21−521+521−521+521−521−521+521+5200-200−1+5−1−5000−1+5−1−500001−521−521+521+5200001−521−521+521+520000000000000000000000
χ52444-24−1+5−1−5-24−1+5−1−5−1+5−1+5−1−5−1−5-2-2-24−1+51−52−1−51+52−1+51−52−1−51+52−1+5−1+51−521−52−1−5−1−51+521+520-40-40022-21−521+521−521+521−521−521+521+52002001−51+50001−51+50000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000000000000000000000
χ53444-2-4−1−5−1+5-24−1−5−1+51+51+51−51−5-2-22-4−1−51+52−1+51−52−1−51+52−1+51−521+51+5−1−52−1−521−51−5−1+52−1+52040-4002221+521−521+521−52−1−52−1−52−1+52−1+5200-200−1−5−1+50001+51−500001+521+521−521−520000−1−52−1−52−1+52−1+520000000000000000000000
χ54444-2-4−1−5−1+5-24−1−5−1+51+51+51−51−5-2-22-4−1−51+52−1+51−52−1−51+52−1+51−521+51+5−1−52−1−521−51−5−1+52−1+520-40400-2-221+521−521+521−52−1−52−1−52−1+52−1+52002001+51−5000−1−5−1+50000−1−52−1−52−1+52−1+5200001+521+521−521−520000000000000000000000
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χ904-4-240−1+5−1−5-421−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59-22001−52−1+51+52−1−5−1+521−5−1−521+5−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−2i32i30001−521+52−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000
χ914-4-240−1+5−1−5-421−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59-22001−52−1+51+52−1−5−1+521−5−1−521+5−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900002i3−2i30001−521+52−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000
χ924-4-240−1+5−1−5-421−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59-22001−52−1+51+52−1−5−1+521−5−1−521+5ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−2i32i30001−521+52−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000
χ934-4-240−1+5−1−5-421−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59-22001−52−1+51+52−1−5−1+521−5−1−521+5ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900002i3−2i30001−521+52−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000
χ9488-4-48−2−25−2+25-4-4−2−25−2+25−2−25−2−25−2+25−2+2522-4-41+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
χ9588-4-48−2+25−2−25-4-4−2+25−2−25−2+25−2+25−2−25−2−2522-4-41−51−51+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
χ9688-4-4-8−2−25−2+25-4-4−2−25−2+252+252+252−252−2522441+51+51−51−51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000
χ9788-4-4-8−2+25−2−25-4-4−2+25−2−252−252−252+252+2522441−51−51+51+51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000
χ988-8-4-408844-8-800002-200-4-4-4-444440000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ998-8-4-40−2−25−2+25442+252−25−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ472-2001+51+51−51−5−1−5−1−5−1+5−1+52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000000000000000000000000
χ1008-8-4-40−2−25−2+25442+252−254ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ472-2001+51+51−51−5−1−5−1−5−1+5−1+5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000000000000000000000000000000000000000
χ1018-8-4-40−2+25−2−25442−252+254ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ592-2001−51−51+51+5−1+5−1+5−1−5−1−5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000−1+52−1−521−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000000000000000000000000000000000000000
χ1028-8-4-40−2+25−2−25442−252+25−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ592-2001−51−51+51+5−1+5−1+5−1−5−1−52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000−1+52−1−521−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000000000000000000000000000000000000000

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