Finite Group Databasebeta

← Group #72260312

Character table — Group #72260312

Order 9600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1123344444444688888888881212121212121212162424242424242424252530303030303030303232323232323232323232323232323232323232323232325050505050606060607575120120120120120120120120120120120120120120120120150150150150150200200300300300300300300300300400400400400400
order12222551010101010102355610101010101010101010101010106101010101010101022222244441515151515153030303030303030303030303030303030302444422442210101010101010102020202020202020244446644444444612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1
χ511111111111111111111111111111111111111111-1-111-1-111-1-1111111111111111111111111-1ii−i−i1-11-1-1-11111-1-1-1-11111-1-1-1-1-1ii−i−i-1-1ii−i−iii−i−i-1ii−i−i
χ611111111111111111111111111111111111111111-1-111-1-111-1-1111111111111111111111111-1−i−iii1-11-1-1-11111-1-1-1-11111-1-1-1-1-1−i−iii-1-1−i−iii−i−iii-1−i−iii
χ711111111111111111111111111111111111111111-1-1-1-111-1-111111111111111111111111111-1ii−i−i-11-11-1-1-1-1-1-11111-1-1-1-11111-1ii−i−i-1-1−i−iii−i−iii-1ii−i−i
χ811111111111111111111111111111111111111111-1-1-1-111-1-111111111111111111111111111-1−i−iii-11-11-1-1-1-1-1-11111-1-1-1-11111-1−i−iii-1-1ii−i−iii−i−i-1−i−iii
χ911-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1-111-1-111-1-1-11-11-1111-11-11-11-1-11-11-1
χ1011-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-111-1-111-1-1-1-11-1111-11-11-11-11-1-11-11
χ1111-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-111-1-111-11-11-111-11-11-11-11-11-11-1
χ1211-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-111-1-111-1-111-1-111-1-11-11111-11-11-11-1-1-11-11
χ1311-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-11-11-1-111-1-1-1-11111-1-1-1-1111i−i−ii-1-1i−i−iii−i−ii1i−i−ii
χ1411-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-11-11-1-111-1-1-1-11111-1-1-1-1111−iii−i-1-1−iii−i−iii−i1−iii−i
χ1511-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1-11-1-1-1-1-11111-1-1-1-11111-1-11i−i−ii-1-1−iii−i−iii−i1i−i−ii
χ1611-1111111-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1-11-1-1-1-1-11111-1-1-1-11111-1-11−iii−i-1-1i−i−iii−i−ii1−iii−i
χ1722222222222222-122-122222222222222-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222000022000000000000000022222-1-100000000-1-1-1-1-1
χ1822222222222222-122-122222222222222-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-200002200000000000000002-2-2-2-2-1-100000000-11111
χ1922222222222222-122-122222222222222-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22i2i−2i−2i0000-2-20000000000000000-22i2i−2i−2i11000000001−i−iii
χ2022222222222222-122-122222222222222-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2−2i−2i2i2i0000-2-20000000000000000-2−2i−2i2i2i11000000001ii−i−i
χ2122-2222222-2-2-2-2-2-122-122-2-2-2-222-2-2-2-22212222-2-2-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111-22-22-20000220000000000000000-22-22-2-1-1000000001-11-11
χ2222-2222222-2-2-2-2-2-122-122-2-2-2-222-2-2-2-22212222-2-2-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-22-220000220000000000000000-2-22-22-1-10000000011-11-1
χ2322-2222222-2-2-2-2-2-122-122-2-2-2-222-2-2-2-22212222-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-111111111111122i−2i−2i2i0000-2-2000000000000000022i−2i−2i2i1100000000-1−iii−i
χ2422-2222222-2-2-2-2-2-122-122-2-2-2-222-2-2-2-22212222-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-11111111111112−2i2i2i−2i0000-2-200000000000000002−2i2i2i−2i1100000000-1i−i−ii
χ252-20-2222-2-200000222-2-2-20000-2-2000022022-2-200002-22-22-22-22-2222222-2-2-2-2-2-20000000000000000000002-22-2002-2002-2002-200000002-20000000000000
χ262-20-2222-2-200000222-2-2-20000-2-2000022022-2-200002-2-22-22-22-22222222-2-2-2-2-2-20000000000000000000002-2-2200-2200-2200-2200000002-20000000000000
χ272-20-2222-2-200000222-2-2-20000-2-2000022022-2-20000-222-2-222-2-22222222-2-2-2-2-2-2000000000000000000000-222-200-22002-200-220000000-220000000000000
χ282-20-2222-2-200000222-2-2-20000-2-2000022022-2-20000-22-222-2-222-2222222-2-2-2-2-2-2000000000000000000000-22-22002-200-22002-20000000-220000000000000
χ29333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1331111-1-1-1-10000000000000000000000003333311-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1001111-1-1-1-100000
χ30333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1331111-1-1-1-10000000000000000000000003-3-3-3-311-1-1-1-111111111-1-1-1-1-1-1-1-1-1111100-1-1-1-1111100000
χ31333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-133-1-1-1-1111100000000000000000000000033333-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-100-1-1-1-1111100000
χ32333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-133-1-1-1-111110000000000000000000000003-3-3-3-3-1-111-1-1-1-1-1-1-1-1-1-111111111-11111001111-1-1-1-100000
χ33333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1-3-311-1-1-1-111000000000000000000000000-33i3i−3i−3i1-1-11111111-1-1-1-1-1-1-1-111111−i−iii00ii−i−i−i−iii00000
χ34333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1-3-311-1-1-1-111000000000000000000000000-3−3i−3i3i3i1-1-11111111-1-1-1-1-1-1-1-111111ii−i−i00−i−iiiii−i−i00000
χ35333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1-3-3-1-11111-1-1000000000000000000000000-33i3i−3i−3i-111-111-1-1-1-111111111-1-1-1-11−i−iii00−i−iiiii−i−i00000
χ36333-1-133333333-10330333333-1-1-1-1-1-1-1-10-1-1-1-1-1-1-1-1-3-3-1-11111-1-1000000000000000000000000-3−3i−3i3i3i-111-111-1-1-1-111111111-1-1-1-11ii−i−i00ii−i−i−i−iii00000
χ3733-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-11111331111-1-1-1-1000000000000000000000000-33-33-3-1-111-1-111-1-111-1-1-1-111-1-1111-11-11001-11-1-11-1100000
χ3833-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-11111331111-1-1-1-1000000000000000000000000-3-33-33-1-111-1-111-1-111-1-1-1-111-1-11111-11-100-11-111-11-100000
χ3933-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-1111133-1-1-1-11111000000000000000000000000-33-33-311-1-1-1-1-1-111-1-11111-1-111-1-11-11-1100-11-111-11-100000
χ4033-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-1111133-1-1-1-11111000000000000000000000000-3-33-3311-1-1-1-1-1-111-1-11111-1-111-1-111-11-1001-11-1-11-1100000
χ4133-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-11111-3-311-1-1-1-11100000000000000000000000033i−3i−3i3i-111-11111-1-1-1-111-1-11111-1-1-1−iii−i00i−i−ii−iii−i00000
χ4233-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-11111-3-311-1-1-1-1110000000000000000000000003−3i3i3i−3i-111-11111-1-1-1-111-1-11111-1-1-1i−i−ii00−iii−ii−i−ii00000
χ4333-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-11111-3-3-1-11111-1-100000000000000000000000033i−3i−3i3i1-1-1111-1-11111-1-111-1-1-1-111-1−iii−i00−iii−ii−i−ii00000
χ4433-3-1-13333-3-3-3-31033033-3-3-3-3-1-11111-1-10-1-1-1-11111-3-3-1-11111-1-10000000000000000000000003−3i3i3i−3i1-1-1111-1-11111-1-111-1-1-1-111-1i−i−ii00i−i−ii−iii−i00000
χ45444444-14-144-1-144-1-14-1-1-1-1-1-14-144-1-14-14-1-1-1-1-1-1-1-100004400444-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000000404000000-1-1-1-10000-1-1-1-100000000000000000000
χ46444444-14-144-1-144-1-14-1-1-1-1-1-14-144-1-14-14-1-1-1-1-1-1-1-10000-4-400-4-44-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000000-40-400000011110000111100000000000000000000
χ4744444-14-14-1-14444-1-14-1-1-1-1-1-1-14-1-144-144-1-1-1-1-1-1-1-10044004400-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100000404000-1-1-1-10000-1-1-1-1000000000000000000000000
χ4844444-14-14-1-14444-1-14-1-1-1-1-1-1-14-1-144-144-1-1-1-1-1-1-1-100-4-400-4-400-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100000-40-4000111100001111000000000000000000000000
χ4944-4444-14-1-4-411-44-1-14-1-111114-1-4-4114-1-4-1-1-1-1111100004400444-1-1-1-1-14-1-1-1-1-1-4-41111111111000000-40-4000000-1-1110000-1-11100000000000000000000
χ5044-4444-14-1-4-411-44-1-14-1-111114-1-4-4114-1-4-1-1-1-111110000-4-400-4-44-1-1-1-1-14-1-1-1-1-1-4-4111111111100000040400000011-1-1000011-1-100000000000000000000
χ5144-444-14-1411-4-4-44-1-14-1-11111-1411-4-4-14-4-1-1-1-111110044004400-14-1-1-1-1-14-1-1-1-111-4-41111111100000-40-4000-1-1110000-1-111000000000000000000000000
χ5244-444-14-1411-4-4-44-1-14-1-11111-1411-4-4-14-4-1-1-1-1111100-4-400-4-400-14-1-1-1-1-14-1-1-1-111-4-4111111110000040400011-1-1000011-1-1000000000000000000000000
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χ554-40-444-1-4100−5504-1-1-411−5−555-4100−554-10-1-111−5−55500004-4004-44-1-1-1-1-1-41111100−55−5−5−5−55555000000000000000-11−550000-11−5500000000000000000000
χ564-40-444-1-4100−5504-1-1-411−5−555-4100−554-10-1-111−5−5550000-4400-444-1-1-1-1-1-41111100−55−5−5−5−555550000000000000001-15−500001-15−500000000000000000000
χ574-40-444-1-41005−504-1-1-41155−5−5-41005−54-10-1-11155−5−500004-4004-44-1-1-1-1-1-411111005−55555−5−5−5−5000000000000000-115−50000-115−500000000000000000000
χ584-40-444-1-41005−504-1-1-41155−5−5-41005−54-10-1-11155−5−50000-4400-444-1-1-1-1-1-411111005−55555−5−5−5−50000000000000001-1−5500001-1−5500000000000000000000
χ594-40-44-141-4−550004-1-1-411−55−551-4−5500-140-1-111−55−55004-4004-400-14-1-1-1-11-41111−5500−5−555−5−55500000000000-11−550000-11−55000000000000000000000000
χ604-40-44-141-4−550004-1-1-411−55−551-4−5500-140-1-111−55−5500-4400-4400-14-1-1-1-11-41111−5500−5−555−5−555000000000001-15−500001-15−5000000000000000000000000
χ614-40-44-141-45−50004-1-1-4115−55−51-45−500-140-1-1115−55−5004-4004-400-14-1-1-1-11-411115−50055−5−555−5−500000000000-115−50000-115−5000000000000000000000000
χ624-40-44-141-45−50004-1-1-4115−55−51-45−500-140-1-1115−55−500-4400-4400-14-1-1-1-11-411115−50055−5−555−5−5000000000001-1−5500001-1−55000000000000000000000000
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χ6888888-28-28-2-2888-4-2-2-4-2-2-2-2-2-2-28-2-288-28-4-2-2-2-2-2-2-2-200000000001-411111-4111111-4-41111111100000000000000000000000000000000000000000000000
χ6988888-2-2-2-2-2-2-2-2883-283-23-2-23-2-2-2-2-2-2-2-283-23-23-2-230000000000-2-233-2-2-2-233-2-2-2-2-2-233-2-2-2-23300000000000000000000000000000000000000000000000
χ7088888-2-2-2-2-2-2-2-288-238-23-233-2-2-2-2-2-2-2-2-28-23-23-233-20000000000-2-2-2-233-2-2-2-233-2-2-2-2-2-23333-2-200000000000000000000000000000000000000000000000
χ7188888-2-2-2-2-2-2-2-28-43-2-43-23-2-23-2-2-2-2-2-2-2-2-43-23-23-2-23000000000011−3−i152−3+i1521−i151+i1511−3−i152−3+i1521−i151+i151111−3−i152−3+i1521−i151+i151−i151+i15−3−i152−3+i15200000000000000000000000000000000000000000000000
χ7288888-2-2-2-2-2-2-2-28-43-2-43-23-2-23-2-2-2-2-2-2-2-2-43-23-23-2-23000000000011−3+i152−3−i1521+i151−i1511−3+i152−3−i1521+i151−i151111−3+i152−3−i1521+i151−i151+i151−i15−3+i152−3−i15200000000000000000000000000000000000000000000000
χ7388888-2-2-2-2-2-2-2-28-4-23-4-23-233-2-2-2-2-2-2-2-2-2-4-23-23-233-20000000000111−i151+i15−3+i152−3−i152111−i151+i15−3+i152−3−i15211111−i151+i15−3+i152−3−i152−3+i152−3−i1521−i151+i1500000000000000000000000000000000000000000000000
χ7488888-2-2-2-2-2-2-2-28-4-23-4-23-233-2-2-2-2-2-2-2-2-2-4-23-23-233-20000000000111+i151−i15−3−i152−3+i152111+i151−i15−3−i152−3+i15211111+i151−i15−3−i152−3+i152−3−i152−3+i1521+i151−i1500000000000000000000000000000000000000000000000
χ7588-8888-28-2-8-822-8-4-2-2-4-2-222228-2-8-8228-24-2-2-2-222220000000000-411111-41111144-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000
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χ7788-888-2-2-2-22222-883-283-2-322-3-2-22222-2-2-83-23-2-322-30000000000-2-233-2-2-2-233-2-22222-3-32222-3-300000000000000000000000000000000000000000000000
χ7888-888-2-2-2-22222-88-238-232-3-32-2-22222-2-2-8-23-232-3-320000000000-2-2-2-233-2-2-2-233222222-3-3-3-32200000000000000000000000000000000000000000000000
χ7988-888-2-2-2-22222-8-43-2-43-2-322-3-2-22222-2-243-23-2-322-3000000000011−3−i152−3+i1521−i151+i1511−3−i152−3+i1521−i151+i15-1-1-1-13+i1523−i152−1+i15−1−i15−1+i15−1−i153+i1523−i15200000000000000000000000000000000000000000000000
χ8088-888-2-2-2-22222-8-43-2-43-2-322-3-2-22222-2-243-23-2-322-3000000000011−3+i152−3−i1521+i151−i1511−3+i152−3−i1521+i151−i15-1-1-1-13−i1523+i152−1−i15−1+i15−1−i15−1+i153−i1523+i15200000000000000000000000000000000000000000000000
χ8188-888-2-2-2-22222-8-4-23-4-232-3-32-2-22222-2-24-23-232-3-320000000000111−i151+i15−3+i152−3−i152111−i151+i15−3+i152−3−i152-1-1-1-1−1+i15−1−i153−i1523+i1523−i1523+i152−1+i15−1−i1500000000000000000000000000000000000000000000000
χ8288-888-2-2-2-22222-8-4-23-4-232-3-32-2-22222-2-24-23-232-3-320000000000111+i151−i15−3−i152−3+i152111+i151−i15−3−i152−3+i152-1-1-1-1−1−i15−1+i153+i1523−i1523+i1523−i152−1−i15−1+i1500000000000000000000000000000000000000000000000
χ838-80-888-2-8200−25250-4-2-2422−25−252525-8200−25258-20-2-222−25−2525250000000000-4111114-1-1-1-1-1005−55555−5−5−5−500000000000000000000000000000000000000000000000
χ848-80-888-2-820025−250-4-2-24222525−25−25-820025−258-20-2-2222525−25−250000000000-4111114-1-1-1-1-100−55−5−5−5−5555500000000000000000000000000000000000000000000000
χ858-80-88-282-8−2525000-4-2-2422−2525−25252-8−252500-280-2-222−2525−252500000000001-41111-14-1-1-1-15−50055−5−555−5−500000000000000000000000000000000000000000000000
χ868-80-88-282-825−25000-4-2-242225−2525−252-825−2500-280-2-22225−2525−2500000000001-41111-14-1-1-1-1−5500−5−555−5−55500000000000000000000000000000000000000000000000
χ878-80-88-2-222−2525−2525083-2-8-32500−522−2525−2525-2-203-2-32500−50000000000-2-233-2-222-3-322−2525−2525550000−5−500000000000000000000000000000000000000000000000
χ888-80-88-2-222−2525−25250-43-24-32500−522−2525−2525-2-203-2-32500−5000000000011−3−i152−3+i1521−i151+i15-1-13+i1523−i152−1+i15−1−i155−55−52ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ580000−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ5800000000000000000000000000000000000000000000000
χ898-80-88-2-222−2525−25250-43-24-32500−522−2525−2525-2-203-2-32500−5000000000011−3+i152−3−i1521+i151−i15-1-13−i1523+i152−1−i15−1+i155−55−5−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ5800003ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ5800000000000000000000000000000000000000000000000
χ908-80-88-2-222−252525−2508-23-82-30−55022−252525−25-2-20-232-30−5500000000000-2-2-2-2332222-3-3−252525−2500−5−5550000000000000000000000000000000000000000000000000
χ918-80-88-2-222−252525−250-4-2342-30−55022−252525−25-2-20-232-30−5500000000000111−i151+i15−3+i152−3−i152-1-1−1+i15−1−i153−i1523+i1525−5−55003ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ580000000000000000000000000000000000000000000000000
χ928-80-88-2-222−252525−250-4-2342-30−55022−252525−25-2-20-232-30−5500000000000111+i151−i15−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i1525−5−5500−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ580000000000000000000000000000000000000000000000000
χ938-80-88-2-22225−25−252508-23-82-305−502225−25−2525-2-20-232-305−500000000000-2-2-2-2332222-3-325−25−25250055−5−50000000000000000000000000000000000000000000000000
χ948-80-88-2-22225−25−25250-4-2342-305−502225−25−2525-2-20-232-305−500000000000111−i151+i15−3+i152−3−i152-1-1−1+i15−1−i153−i1523+i152−555−500−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ580000000000000000000000000000000000000000000000000
χ958-80-88-2-22225−25−25250-4-2342-305−502225−25−2525-2-20-232-305−500000000000111+i151−i15−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i152−555−5002ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ580000000000000000000000000000000000000000000000000
χ968-80-88-2-22225−2525−25083-2-8-32−50052225−2525−25-2-203-2-32−50050000000000-2-233-2-222-3-32225−2525−25−5−500005500000000000000000000000000000000000000000000000
χ978-80-88-2-22225−2525−250-43-24-32−50052225−2525−25-2-203-2-32−5005000000000011−3−i152−3+i1521−i151+i15-1-13+i1523−i152−1+i15−1−i15−55−55−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ5800002ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ5800000000000000000000000000000000000000000000000
χ988-80-88-2-22225−2525−250-43-24-32−50052225−2525−25-2-203-2-32−5005000000000011−3+i152−3−i1521+i151−i15-1-13−i1523+i152−1−i15−1+i15−55−553ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ580000−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ5800000000000000000000000000000000000000000000000
χ99121212-4-412-312-31212-3-3-40-3-30-3-3-3-3-3-3-41-4-411-4101111111100004400-4-400000000000000000000000000000040-4000000-1-1-1-10000111100000000000000000000
χ100121212-4-412-312-31212-3-3-40-3-30-3-3-3-3-3-3-41-4-411-410111111110000-4-40044000000000000000000000000000000-40400000011110000-1-1-1-100000000000000000000
χ101121212-4-4-312-312-3-31212-40-3-30-3-3-3-3-3-31-411-4-41-4011111111004400-4-4000000000000000000000000000000040-4000-1-1-1-100001111000000000000000000000000
χ102121212-4-4-312-312-3-31212-40-3-30-3-3-3-3-3-31-411-4-41-401111111100-4-400440000000000000000000000000000000-40400011110000-1-1-1-1000000000000000000000000
χ1031212-12-4-412-312-3-12-123340-3-30-3-33333-4144-1-1-4101111-1-1-1-100004400-4-4000000000000000000000000000000-404000000-1-111000011-1-100000000000000000000
χ1041212-12-4-412-312-3-12-123340-3-30-3-33333-4144-1-1-4101111-1-1-1-10000-4-4004400000000000000000000000000000040-400000011-1-10000-1-11100000000000000000000
χ1051212-12-4-4-312-31233-12-1240-3-30-3-333331-4-1-1441-401111-1-1-1-1004400-4-40000000000000000000000000000000-404000-1-111000011-1-1000000000000000000000000
χ1061212-12-4-4-312-31233-12-1240-3-30-3-333331-4-1-1441-401111-1-1-1-100-4-40044000000000000000000000000000000040-400011-1-10000-1-111000000000000000000000000
χ10712-1204-412-3-12300−353500-3-3033−35−3535354-1005−5-41011-1-155−5−500004-400-44000000000000000000000000000000000000000-11−5500001-15−500000000000000000000
χ10812-1204-412-3-12300−353500-3-3033−35−3535354-1005−5-41011-1-155−5−50000-44004-40000000000000000000000000000000000000001-15−50000-11−5500000000000000000000
χ10912-1204-412-3-1230035−3500-3-30333535−35−354-100−55-41011-1-1−5−55500004-400-44000000000000000000000000000000000000000-115−500001-1−5500000000000000000000
χ11012-1204-412-3-1230035−3500-3-30333535−35−354-100−55-41011-1-1−5−5550000-44004-40000000000000000000000000000000000000001-1−550000-115−500000000000000000000
χ11112-1204-4-3123-12−35350000-3-3033−3535−3535-145−5001-4011-1-15−55−5004-400-440000000000000000000000000000000000000-11−5500001-15−5000000000000000000000000
χ11212-1204-4-3123-12−35350000-3-3033−3535−3535-145−5001-4011-1-15−55−500-44004-400000000000000000000000000000000000001-15−50000-11−55000000000000000000000000
χ11312-1204-4-3123-1235−350000-3-303335−3535−35-14−55001-4011-1-1−55−55004-400-440000000000000000000000000000000000000-115−500001-1−55000000000000000000000000
χ11412-1204-4-3123-1235−350000-3-303335−3535−35-14−55001-4011-1-1−55−5500-44004-400000000000000000000000000000000000001-1−550000-115−5000000000000000000000000
χ115242424-8-8-6-6-6-6-6-6-6-6-809-609-69-6-69222222220-32-32-322-3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ116242424-8-8-6-6-6-6-6-6-6-6-80-690-69-699-62222222202-32-32-3-32000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1172424-24-8-8-6-6-6-66666809-609-6-966-922-2-2-2-2220-32-323-2-23000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1182424-24-8-8-6-6-6-6666680-690-696-9-9622-2-2-2-22202-32-3-233-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11924-2408-8-6-666−6565−6565009-60-963500−35-2-225−2525−25220-323-2−5005000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12024-2408-8-6-666−656565−6500-6906-90−35350-2-225−25−25252202-3-2305−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12124-2408-8-6-66665−65−656500-6906-9035−350-2-2−252525−252202-3-230−550000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12224-2408-8-6-66665−6565−65009-60-96−350035-2-2−2525−2525220-323-2500−5000000000000000000000000000000000000000000000000000000000000000000000000000000000

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