Finite Group Databasebeta

← Group #72231341

Character table — Group #72231341

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222244444444444444888888888888888888888888888888888888888888888888151515152525303030305050505060606060606060606060606075757575100100150150150150225225225225
order1233663556101015151515303030305510101515151515151515151515151515151515151515151530303030303030303030303030303030303030303030444422121212126666202020206060606060606060444466121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−i-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111ii−i−i-1-1ii−i−i−i−iii
χ611111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111−i−iii-1-1−i−iiiii−i−i
χ711111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1-1i−ii−i1-1-11i−ii−iii−i−iii−i−i1-11-11-11-11-1i−ii−i
χ101-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1-1i−ii−i1-1-11i−ii−iii−i−iii−i−i-11-111-1-11-11−ii−ii
χ111-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-11i−i−ii-111-1i−i−iiii−i−i−i−iiii−i−ii-11i−i−ii-111-1
χ121-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-11i−i−ii-111-1i−i−iiii−i−i−i−iii−iii−i-11−iii−i1-1-11
χ131-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-11−iii−i-111-1−iii−i−i−iiiii−i−ii−i−ii-11i−i−ii1-1-11
χ141-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-11−iii−i-111-1−iii−i−i−iiiii−i−i−iii−i-11−iii−i-111-1
χ151-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1-1−ii−ii1-1-11−ii−ii−i−iii−i−iii1-11-11-11-11-1−ii−ii
χ161-111-1-1111-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1-1−ii−ii1-1-11−ii−ii−i−iii−i−iii-11-111-1-11-11i−ii−i
χ17222-12-1-122-122-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-12-122222-1-1-1-1-1-1-1-10000-1-100000000
χ18222-12-1-122-122-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1111-21-222-2-2-1-1-1-1111100001100000000
χ19222-12-1-122-122-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211-1-11-21-2-2-2221111-1-1-1-100001100000000
χ20222-12-1-122-122-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2221111-12-12-2-2-2-2111111110000-1-100000000
χ2122-12-12-122-122222222222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200002-12-10000000000002222-1-1-1-1-1-10000
χ2222-12-12-122-122222222222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200002-12-1000000000000-2-2-2-2-1-111110000
χ2322-12-12-122-122222222222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-21-210000000000002i2i−2i−2i11−i−iii0000
χ2422-12-12-122-122222222222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-21-21000000000000−2i−2i2i2i11ii−i−i0000
χ252-22-1-21-1221-2-2-1-1-1-1111122-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111112i−2i2i−2i2-2−ii−ii-1-2122i−2i2i−2i−i−iii−i−iii0000-1100000000
χ262-22-1-21-1221-2-2-1-1-1-1111122-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111112i−2i−2i2i-22−iii−i12-1-22i−2i−2i2i−i−iiiii−i−i00001-100000000
χ272-22-1-21-1221-2-2-1-1-1-1111122-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111−2i2i2i−2i-22i−i−ii12-1-2−2i2i2i−2iii−i−i−i−iii00001-100000000
χ282-22-1-21-1221-2-2-1-1-1-1111122-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111−2i2i−2i2i2-2i−ii−i-1-212−2i2i−2i2iii−i−iii−i−i0000-1100000000
χ292-2-121-2-1221-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-211111111111100002-2000021-2-10000000000002-22-2-11-11-110000
χ302-2-121-2-1221-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-211111111111100002-2000021-2-1000000000000-22-22-111-11-10000
χ312-2-121-2-1221-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-21111111111110000-220000-2-1210000000000002i−2i−2i2i1-1−iii−i0000
χ322-2-121-2-1221-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-21111111111110000-220000-2-121000000000000−2i2i2i−2i1-1i−i−ii0000
χ3344444444-144-144-1-144-1-1-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10044000044000000-1-10000-1-1-1-100000000000000
χ3444444444-144-144-1-144-1-1-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-100-4-40000-4-4000000110000111100000000000000
χ354444444-144-14-1-144-1-144-1-1-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-144000044000000-1-100-1-1-1-1000000000000000000
χ364444444-144-14-1-144-1-144-1-1-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-4-40000-4-400000011001111000000000000000000
χ37444-24-2-24-1-24-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1524-1-1-1-1-11−i1521−i1521+i1521+i152-2-21−i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15200440000-2-2000000-1-100001−i1521+i1521−i1521+i15200000000000000
χ38444-24-2-24-1-24-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1524-1-1-1-1-11−i1521−i1521+i1521+i152-2-21−i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15200-4-4000022000000110000−1+i152−1−i152−1+i152−1−i15200000000000000
χ39444-24-2-24-1-24-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1524-1-1-1-1-11+i1521+i1521−i1521−i152-2-21+i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15200440000-2-2000000-1-100001+i1521−i1521+i1521−i15200000000000000
χ40444-24-2-24-1-24-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1524-1-1-1-1-11+i1521+i1521−i1521−i152-2-21+i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15200-4-4000022000000110000−1−i152−1+i152−1−i152−1+i15200000000000000
χ41444-24-2-2-14-2-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-14-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i152-2-21−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152440000-2-2000000-1-1001−i1521+i1521−i1521+i152000000000000000000
χ42444-24-2-2-14-2-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-14-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i152-2-21−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4-40000220000001100−1+i152−1−i152−1+i152−1−i152000000000000000000
χ43444-24-2-2-14-2-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-14-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i152-2-21+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152440000-2-2000000-1-1001+i1521−i1521+i1521−i152000000000000000000
χ44444-24-2-2-14-2-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-14-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i152-2-21+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4-40000220000001100−1−i152−1+i152−1−i152−1+i152000000000000000000
χ4544-2-2-2-2144144-2-2-2-2-2-2-2-24444-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-21111111111110000440000-2-2-2-200000000000000001100000000
χ4644-2-2-2-2144144-2-2-2-2-2-2-2-24444-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-21111111111110000-4-4000022220000000000000000-1-100000000
χ474-444-4-444-1-4-4144-1-1-4-411-1-1114-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4111111111-4-41111111111004i−4i00004i−4i000000−ii0000−i−iii00000000000000
χ484-444-4-444-1-4-4144-1-1-4-411-1-1114-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4111111111-4-4111111111100−4i4i0000−4i4i000000i−i0000ii−i−i00000000000000
χ494-444-4-44-14-41-4-1-14411-4-4-1-111-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41111111111-4-4111111114i−4i00004i−4i000000−ii00−i−iii000000000000000000
χ504-444-4-44-14-41-4-1-14411-4-4-1-111-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41111111111-4-411111111−4i4i0000−4i4i000000i−i00ii−i−i000000000000000000
χ514-44-2-42-24-12-41-2-21−i1521+i15222−1+i152−1−i152-1-1114-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i152-411111−1+i152−1+i152−1−i152−1−i15222−1+i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152004i−4i0000−2i2i000000−ii0000ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700000000000000
χ524-44-2-42-24-12-41-2-21−i1521+i15222−1+i152−1−i152-1-1114-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i152-411111−1+i152−1+i152−1−i152−1−i15222−1+i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i15200−4i4i00002i−2i000000i−i0000−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700000000000000
χ534-44-2-42-24-12-41-2-21+i1521−i15222−1−i152−1+i152-1-1114-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i152-411111−1−i152−1−i152−1+i152−1+i15222−1−i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152004i−4i0000−2i2i000000−ii0000ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900000000000000
χ544-44-2-42-24-12-41-2-21+i1521−i15222−1−i152−1+i152-1-1114-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i152-411111−1−i152−1−i152−1+i152−1+i15222−1−i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i15200−4i4i00002i−2i000000i−i0000−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900000000000000
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χ1008-8-4-4442-28-22-81+i151−i15-4-4−1−i15−1+i1544-2-2221-4−1−i152−1+i1522211111+i151−i151+i151−i15−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152-14-1-1-1-1−1−i15−1+i15−1−i15−1+i151+i1521−i152-2-21+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000000000000000000000000000000000000000
χ1018-8-4-4442-2-2-2221−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i153-2-3211−1+i152−1−i152−1+i152−1−i152−3−5i32−3+5i3211−3+i15211−3−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1−352−1+352−1+352−1−352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46-1-13+5i323−5i32-1-13−i152-1-13+i1521−i1521+i1521−i1521+i152−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ581+3521−3521−3521+352−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ460000000000000000000000000000000000000000
χ1028-8-4-4442-2-2-2221−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i153-2-3211−1+i152−1−i152−1+i152−1−i152−3+5i32−3−5i3211−3+i15211−3−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+352−1−352−1−352−1+352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58-1-13−5i323+5i32-1-13−i152-1-13+i1521−i1521+i1521−i1521+i152ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ581−3521+3521+3521−3523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ580000000000000000000000000000000000000000
χ1038-8-4-4442-2-2-2221−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i15-232-311−1+i152−1−i152−1−i152−1+i15211−3−5i32−3+5i321−3−i152−3+i1521−1−352−1+352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+352−1−352-1-1-1-13+5i323−5i32-13+i1523−i152-11−i1521+i1521+i1521−i1521+3521−352−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ581−3521+3520000000000000000000000000000000000000000
χ1048-8-4-4442-2-2-2221−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i15-232-311−1+i152−1−i152−1−i152−1+i15211−3+5i32−3−5i321−3−i152−3+i1521−1+352−1−352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1−352−1+352-1-1-1-13−5i323+5i32-13+i1523−i152-11−i1521+i1521+i1521−i1521−3521+3523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ581+3521−3520000000000000000000000000000000000000000
χ1058-8-4-4442-2-2-2221+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i15-232-311−1−i152−1+i152−1+i152−1−i15211−3−5i32−3+5i321−3+i152−3−i1521−1+352−1−352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−352−1+352-1-1-1-13+5i323−5i32-13−i1523+i152-11+i1521−i1521−i1521+i1521−3521+352−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ461+3521−3520000000000000000000000000000000000000000
χ1068-8-4-4442-2-2-2221+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i15-232-311−1−i152−1+i152−1+i152−1−i15211−3+5i32−3−5i321−3+i152−3−i1521−1−352−1+352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1+352−1−352-1-1-1-13−5i323+5i32-13−i1523+i152-11+i1521−i1521−i1521+i1521+3521−352ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ581−3521+3520000000000000000000000000000000000000000
χ1078-8-4-4442-2-2-2221+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i153-2-3211−1−i152−1+i152−1−i152−1+i152−3−5i32−3+5i3211−3−i15211−3+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1+352−1−352−1−352−1+352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58-1-13+5i323−5i32-1-13+i152-1-13−i1521+i1521−i1521+i1521−i152−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ461−3521+3521+3521−352−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ580000000000000000000000000000000000000000
χ1088-8-4-4442-2-2-2221+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i153-2-3211−1−i152−1+i152−1−i152−1+i152−3+5i32−3−5i3211−3−i15211−3+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−352−1+352−1+352−1−352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58-1-13−5i323+5i32-1-13+i152-1-13−i1521+i1521−i1521+i1521−i1523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ581+3521−3521−3521+352ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ580000000000000000000000000000000000000000

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