Finite Group Databasebeta

← Group #72231100

Character table — Group #72231100

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222244444444444444444444444455558888888888888888888888881010101010101010101020202020202020202020202020202020202020202020202025255050505050150150150150150150150150
order1223666551010101010101515151530303030303030303030303044445510101010101015151515303030303030303030303030441212121212121212202020202020202060606060606060606060606060606060222666644444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111111111-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111-1-11111111111111111111111111-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111111111111-1-111111111111111111111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1ii−i−iii−i−i
χ61111111111111111111111111111111-1-111111111111111111111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1−i−iii−i−iii
χ71111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1
χ911-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-11-11-11-11-1
χ1011-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-1-11-11-11-11
χ1111-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-111i−ii−i−ii−ii
χ1211-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-111−ii−iii−ii−i
χ1311-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111i−i−iii−i−ii
χ1411-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111−iii−i−iii−i
χ1511-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-111-1-11-1-11-111-1
χ1611-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-111-1-1-111-11-1-11
χ17222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-100000000
χ18222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2111100000000
χ19222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-221111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-2-2111100000000
χ20222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2-2-2-2-21111111111111111222-1-1-1-100000000
χ2122-2-111-122-2-2-2-222-1-1-1-111111111-1-1-1-122222222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-1111122-2-1-11100000000
χ2222-2-111-122-2-2-2-222-1-1-1-111111111-1-1-1-122-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-22-1-11111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1-2-2211-1-100000000
χ2322-2-111-122-2-2-2-222-1-1-1-111111111-1-1-1-1-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1111111112-211-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-11111-2-2211-1-100000000
χ2422-2-111-122-2-2-2-222-1-1-1-111111111-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111112211-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-122-2-1-11100000000
χ252-20200-2220000-2-2222200000000-2-2-2-22i−2i2i−2i22-2-200002222-2-2-2-200000000002i−2i002i−2i002i−2i002i−2i002i2i−2i−2i00002i2i−2i−2i00002-202-20000000000
χ262-20200-2220000-2-2222200000000-2-2-2-22i−2i−2i2i22-2-200002222-2-2-2-200000000002i−2i00−2i2i002i−2i00−2i2i002i2i−2i−2i0000−2i−2i2i2i0000-220-220000000000
χ272-20200-2220000-2-2222200000000-2-2-2-2−2i2i2i−2i22-2-200002222-2-2-2-20000000000−2i2i002i−2i00−2i2i002i−2i00−2i−2i2i2i00002i2i−2i−2i0000-220-220000000000
χ282-20200-2220000-2-2222200000000-2-2-2-2−2i2i−2i2i22-2-200002222-2-2-2-20000000000−2i2i00−2i2i00−2i2i00−2i2i00−2i−2i2i2i0000−2i−2i2i2i00002-202-20000000000
χ292-20-1−i3i31220000-2-2-1-1-1-1−i3−i3−i3−i3i3i3i3i311112i−2i2i−2i22-2-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i300−ii3−3−ii3−32i−2i002i−2i00−i−iii33−3−3−i−iii33−3−32-20-11−i3i300000000
χ302-20-1−i3i31220000-2-2-1-1-1-1−i3−i3−i3−i3i3i3i3i311112i−2i−2i2i22-2-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i300−ii3−3i−i−332i−2i00−2i2i00−i−iii33−3−3ii−i−i−3−333-2201-1i3−i300000000
χ312-20-1−i3i31220000-2-2-1-1-1-1−i3−i3−i3−i3i3i3i3i31111−2i2i2i−2i22-2-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i300i−i−33−ii3−3−2i2i002i−2i00ii−i−i−3−333−i−iii33−3−3-2201-1i3−i300000000
χ322-20-1−i3i31220000-2-2-1-1-1-1−i3−i3−i3−i3i3i3i3i31111−2i2i−2i2i22-2-20000-1-1-1-11111−i3−i3−i3−i3i3i3i3i300i−i−33i−i−33−2i2i00−2i2i00ii−i−i−3−333ii−i−i−3−3332-20-11−i3i300000000
χ332-20-1i3−i31220000-2-2-1-1-1-1i3i3i3i3−i3−i3−i3−i311112i−2i2i−2i22-2-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i300−ii−33−ii−332i−2i002i−2i00−i−iii−3−333−i−iii−3−3332-20-11i3−i300000000
χ342-20-1i3−i31220000-2-2-1-1-1-1i3i3i3i3−i3−i3−i3−i311112i−2i−2i2i22-2-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i300−ii−33i−i3−32i−2i00−2i2i00−i−iii−3−333ii−i−i33−3−3-2201-1−i3i300000000
χ352-20-1i3−i31220000-2-2-1-1-1-1i3i3i3i3−i3−i3−i3−i31111−2i2i2i−2i22-2-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i300i−i3−3−ii−33−2i2i002i−2i00ii−i−i33−3−3−i−iii−3−333-2201-1−i3i300000000
χ362-20-1i3−i31220000-2-2-1-1-1-1i3i3i3i3−i3−i3−i3−i31111−2i2i−2i2i22-2-20000-1-1-1-11111i3i3i3i3−i3−i3−i3−i300i−i3−3i−i3−3−2i2i00−2i2i00ii−i−i33−3−3ii−i−i33−3−32-20-11i3−i300000000
χ3744444444-144-1-14-144-1-144-1-144-1-144-1-10044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-104000044440000-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000000
χ3844444444-144-1-14-144-1-144-1-144-1-144-1-100-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-40000-4-4-4-4000011110000000011111111000000000000000
χ394444444-14-1-144-14-1-144-1-144-1-144-1-1444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14044440000-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000000
χ404444444-14-1-144-14-1-144-1-144-1-144-1-144-4-400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-40-4-4-4-40000111100001111111100000000000000000000000
χ41444-2-2-2-24-144-1-14-1-2-21−i1521+i152-2-21−i1521+i152-2-21−i1521+i152-2-21−i1521+i1520044-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152040000-2-2-2-20000-1-1-1-1000000001−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000
χ42444-2-2-2-24-144-1-14-1-2-21−i1521+i152-2-21−i1521+i152-2-21−i1521+i152-2-21−i1521+i15200-4-4-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520-4000022220000111100000000−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000
χ43444-2-2-2-24-144-1-14-1-2-21+i1521−i152-2-21+i1521−i152-2-21+i1521−i152-2-21+i1521−i1520044-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152040000-2-2-2-20000-1-1-1-1000000001+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000
χ44444-2-2-2-24-144-1-14-1-2-21+i1521−i152-2-21+i1521−i152-2-21+i1521−i152-2-21+i1521−i15200-4-4-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520-4000022220000111100000000−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000
χ45444-2-2-2-2-14-1-144-141−i1521+i152-2-21−i1521+i152-2-21−i1521+i152-2-21−i1521+i152-2-24400-1-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15240-2-2-2-20000-1-1-1-100001−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000
χ46444-2-2-2-2-14-1-144-141−i1521+i152-2-21−i1521+i152-2-21−i1521+i152-2-21−i1521+i152-2-2-4-400-1-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-402222000011110000−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000
χ47444-2-2-2-2-14-1-144-141+i1521−i152-2-21+i1521−i152-2-21+i1521−i152-2-21+i1521−i152-2-24400-1-1-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15240-2-2-2-20000-1-1-1-100001+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000
χ48444-2-2-2-2-14-1-144-141+i1521−i152-2-21+i1521−i152-2-21+i1521−i152-2-21+i1521−i152-2-2-4-400-1-1-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152-402222000011110000−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000
χ4944-44-4-444-1-4-4114-144-1-1-4-411-4-41144-1-10044-1-1-1-11111-1-1-1-1-1-1-1-1111111110-4000044-4-40000-1-11100000000-1-1-1-11111000000000000000
χ5044-44-4-444-1-4-4114-144-1-1-4-411-4-41144-1-100-4-4-1-1-1-11111-1-1-1-1-1-1-1-111111111040000-4-444000011-1-1000000001111-1-1-1-1000000000000000
χ5144-44-4-44-1411-4-4-14-1-14411-4-411-4-4-1-1444400-1-1-1-11111-1-1-1-1-1-1-1-111111111-4044-4-40000-1-1110000-1-1-1-1111100000000000000000000000
χ5244-44-4-44-1411-4-4-14-1-14411-4-411-4-4-1-144-4-400-1-1-1-11111-1-1-1-1-1-1-1-11111111140-4-444000011-1-100001111-1-1-1-100000000000000000000000
χ5344-4-222-24-1-4-4114-1-2-21−i1521+i15222−1+i152−1−i15222−1+i152−1−i152-2-21−i1521+i1520044-1-1-1-111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520-40000-2-2220000-1-111000000001−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000
χ5444-4-222-24-1-4-4114-1-2-21−i1521+i15222−1+i152−1−i15222−1+i152−1−i152-2-21−i1521+i15200-4-4-1-1-1-111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15204000022-2-2000011-1-100000000−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000
χ5544-4-222-24-1-4-4114-1-2-21+i1521−i15222−1−i152−1+i15222−1−i152−1+i152-2-21+i1521−i1520044-1-1-1-111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520-40000-2-2220000-1-111000000001+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000
χ5644-4-222-24-1-4-4114-1-2-21+i1521−i15222−1−i152−1+i15222−1−i152−1+i152-2-21+i1521−i15200-4-4-1-1-1-111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15204000022-2-2000011-1-100000000−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i152000000000000000
χ5744-4-222-2-1411-4-4-141−i1521+i152-2-2−1+i152−1−i15222−1+i152−1−i152221−i1521+i152-2-24400-1-1-1-111111−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152-40-2-2220000-1-11100001−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000
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χ9588-8-444-4-2-22222-2-21+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i15−1−i15−1+i15−1+i15−1−i151+i151−i151−i151+i150000-23-232-3-321−3+i152−3−i15211−3+i152−3−i1521-13−i1523+i152-1-13−i1523+i152-10000000000000000000000000000000000000000000000000
χ9688-8-444-4-2-22222-2-21+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i1500003-23-2-322-3−3−i15211−3+i152−3−i15211−3+i1523+i152-1-13−i1523+i152-1-13−i1520000000000000000000000000000000000000000000000000
χ978-80800-8-2-2−2525−252522-2-2-2-2−2525−252525−2525−25222200003-2-32500−53-2-23-322-3500−5−50050000000000000000000000000000000000000000000000000
χ988-80800-8-2-2−252525−2522-2-2-2-2−252525−2525−25−252522220000-232-30−550-233-22-3-320−55005−500000000000000000000000000000000000000000000000000
χ998-80800-8-2-225−25−252522-2-2-2-225−25−2525−252525−2522220000-232-305−50-233-22-3-3205−500−5500000000000000000000000000000000000000000000000000
χ1008-80800-8-2-225−2525−2522-2-2-2-225−2525−25−2525−2525222200003-2-32−50053-2-23-322-3−5005500−50000000000000000000000000000000000000000000000000
χ1018-80-4−4i34i34-2-2−2525−2525221+i151−i151+i151−i152ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i15−1−i15−1+i1500003-2-32500−5−3−i15211−3+i1523+i152-1-13−i152−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58i3i3−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−i3−i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ580000000000000000000000000000000000000000000000000
χ1028-80-4−4i34i34-2-2−252525−25221+i151−i151−i151+i152ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−1−i15−1+i15−1+i15−1−i150000-232-30−5501−3+i152−3−i1521-13−i1523+i152-1i3−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58i3−i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−i30000000000000000000000000000000000000000000000000
χ1038-80-4−4i34i34-2-225−25−2525221−i151+i151+i151−i152ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−1+i15−1−i15−1−i15−1+i150000-232-305−501−3−i152−3+i1521-13+i1523−i152-1i3−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58i3−i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−i30000000000000000000000000000000000000000000000000
χ1048-80-4−4i34i34-2-225−2525−25221−i151+i151−i151+i152ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i15−1+i15−1−i1500003-2-32−5005−3+i15211−3−i1523−i152-1-13+i152−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58i3i3−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−i3−i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ580000000000000000000000000000000000000000000000000
χ1058-80-44i3−4i34-2-2−2525−2525221−i151+i151−i151+i15−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i15−1+i15−1−i1500003-2-32500−5−3+i15211−3−i1523−i152-1-13+i152ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−i3−i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58i3i3−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ580000000000000000000000000000000000000000000000000
χ1068-80-44i3−4i34-2-2−252525−25221−i151+i151+i151−i15−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−1+i15−1−i15−1−i15−1+i150000-232-30−5501−3−i152−3+i1521-13+i1523−i152-1−i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−i3i3−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58i30000000000000000000000000000000000000000000000000
χ1078-80-44i3−4i34-2-225−25−2525221+i151−i151−i151+i15−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−1−i15−1+i15−1+i15−1−i150000-232-305−501−3+i152−3−i1521-13−i1523+i152-1−i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−i3i3−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58i30000000000000000000000000000000000000000000000000
χ1088-80-44i3−4i34-2-225−2525−25221+i151−i151+i151−i15−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i15−1−i15−1+i1500003-2-32−5005−3−i15211−3+i1523+i152-1-13−i1522ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−i3−i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58i3i3−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ580000000000000000000000000000000000000000000000000

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