Finite Group Databasebeta

← Group #72231372

Character table — Group #72231372

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122224444448888888888888888888888888888888888888888888888888888252545454545505050507575757575757575100100150150150150150150150150180180180180
order1233663556101055101015151515151515151515151515151515151515151515151530303030303030303030303030303030303030303030303022444466664444444466121212121212121220202020
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1ii−i−iii−i−i-1-1ii−i−iii−i−i11-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1−i−iii−i−iii-1-1−i−iii−i−iii11-1-1
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1ii−i−i−i−iii-1-111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1−i−iiiii−i−i-1-111
χ91-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1-11-11-11-1i−ii−i1-11-11-1i−ii−ii−ii−i
χ101-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1-11-1-11-11−ii−ii1-1-11-11−ii−iii−ii−i
χ111-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1-11-11-11-1−ii−ii1-11-11-1−ii−ii−ii−ii
χ121-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1-11-1-11-11i−ii−i1-1-11-11i−ii−i−ii−ii
χ131-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-11-11i−i−ii-111-1-11i−i−ii-111-1i−i−ii
χ141-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-11-11−iii−i1-1-11-11−iii−i1-1-11i−i−ii
χ151-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-11-11i−i−ii1-1-11-11i−i−ii1-1-11−iii−i
χ161-111-1-1111-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-11-11−iii−i-111-1-11−iii−i-111-1−iii−i
χ17222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002-1-1222220000-1-1-1-1-1-100000000
χ18222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002-1-12-2-2-2-20000-1-1111100000000
χ19222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-211-22i2i−2i−2i000011−i−iii00000000
χ20222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-211-2−2i−2i2i2i000011ii−i−i00000000
χ2122-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1220000-122-100002222-1-10000-1-1-1-10000
χ2222-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1220000-122-10000-2-2-2-2-1-1000011110000
χ2322-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001-2-2100002i2i−2i−2i110000−i−iii0000
χ2422-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001-2-210000−2i−2i2i2i110000ii−i−i0000
χ252-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111112-2000021-1-22-22-20000-11-11-1100000000
χ262-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111112-2000021-1-2-22-220000-111-11-100000000
χ272-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-220000-2-1122i−2i−2i2i00001-1−iii−i00000000
χ282-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-220000-2-112−2i2i2i−2i00001-1i−i−ii00000000
χ292-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-21111111111112-20000-1-22100002i−2i2i−2i-110000−ii−ii0000
χ302-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-21111111111112-20000-1-2210000−2i2i−2i2i-110000i−ii−i0000
χ312-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111-22000012-2-100002-2-221-10000-111-10000
χ322-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111-22000012-2-10000-222-21-100001-1-110000
χ3344444444-144-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000044000000000000000000000000-1-1
χ3444444444-144-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10000-4-400000000000000000000000011
χ354444444-144-14-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-10044000000000000000000000000-1-100
χ364444444-144-14-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100-4-40000000000000000000000001100
χ3744-2-2-2-21441444444-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111440000-2-2-2-20000000011000000000000
χ3844-2-2-2-21441444444-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111-4-40000222200000000-1-1000000000000
χ394-444-4-444-1-4-41-1-1114-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-411111-411111-4-4111111111100004i−4i000000000000000000000000−ii
χ404-444-4-444-1-4-41-1-1114-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-411111-411111-4-411111111110000−4i4i000000000000000000000000i−i
χ414-444-4-44-14-41-4-1-111-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-411111-4111111-4-411111111004i−4i000000000000000000000000−ii00
χ424-444-4-44-14-41-4-1-111-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-411111-4111111-4-41111111100−4i4i000000000000000000000000i−i00
χ434-4-2-222144-1-4-444-4-4-2-2-2-21111-2-2-2-2-2-2-2-211111111222222222222-1-1-1-1-1-1-1-1-1-1-1-14-40000-22-22000000001-1000000000000
χ444-4-2-222144-1-4-444-4-4-2-2-2-21111-2-2-2-2-2-2-2-211111111222222222222-1-1-1-1-1-1-1-1-1-1-1-1-4400002-22-200000000-11000000000000
χ458888888-2-28-2-23-23-2-2-2-2-2-2-2-2-233-2-233-2-23333-2-2-2-2-2-233-2-2-2-233-2-2-2-2-2-23333-2-2-2-200000000000000000000000000000000
χ468888888-2-28-2-2-23-23-2-2-2-2-2-2-2-2-2-233-2-233-2-2-2-23333-2-2-2-233-2-2-2-233-2-2-2-2-2-2-2-2333300000000000000000000000000000000
χ47888-48-4-48-2-48-2-2-2-2-28-2-41-4-411-2-2-2-21111111111118-2-2-2-2-2-411111-4-4111111111100000000000000000000000000000000
χ48888-48-4-4-28-4-28-2-2-2-2-281-411-4-4-2-2-2-2111111111111-28-2-2-2-21-4111111-4-41111111100000000000000000000000000000000
χ49888-48-4-4-2-2-4-2-23-23-2-2-211111133-2-2−3−5i32−3+5i3211−3−5i32−3−5i32−3+5i32−3+5i321111-2-233-2-211−3−5i32−3+5i32111111−3−5i32−3−5i32−3+5i32−3+5i32111100000000000000000000000000000000
χ50888-48-4-4-2-2-4-2-23-23-2-2-211111133-2-2−3+5i32−3−5i3211−3+5i32−3+5i32−3−5i32−3−5i321111-2-233-2-211−3+5i32−3−5i32111111−3+5i32−3+5i32−3−5i32−3−5i32111100000000000000000000000000000000
χ51888-48-4-4-2-2-4-2-2-23-23-2-2111111-2-23311−3−5i32−3+5i321111−3−5i32−3−5i32−3+5i32−3+5i32-2-2-2-2331111−3−5i32−3+5i3211111111−3−5i32−3−5i32−3+5i32−3+5i3200000000000000000000000000000000
χ52888-48-4-4-2-2-4-2-2-23-23-2-2111111-2-23311−3+5i32−3−5i321111−3+5i32−3+5i32−3−5i32−3−5i32-2-2-2-2331111−3+5i32−3−5i3211111111−3+5i32−3+5i32−3−5i32−3−5i3200000000000000000000000000000000
χ5388-48-48-48-2-48-2-2-2-2-2-418-2-4-4111111-2-2-2-211111111-4111118-2-2-2-2-2-4-4111111111100000000000000000000000000000000
χ5488-48-48-4-28-4-28-2-2-2-21-4-2811-4-41111-2-2-2-2111111111-41111-28-2-2-2-211-4-41111111100000000000000000000000000000000
χ5588-48-48-4-2-2-4-2-23-23-211-2-21111−3−i152−3+i1521−i151+i1533-2-2−3−i152−3+i152−3−i152−3+i1521−i151+i151−i151+i1511−3−i152−3+i1521−i151+i15-2-233-2-21111−3−i152−3+i152−3−i152−3+i1521−i151+i151−i151+i1500000000000000000000000000000000
χ5688-48-48-4-2-2-4-2-23-23-211-2-21111−3+i152−3−i1521+i151−i1533-2-2−3+i152−3−i152−3+i152−3−i1521+i151−i151+i151−i1511−3+i152−3−i1521+i151−i15-2-233-2-21111−3+i152−3−i152−3+i152−3−i1521+i151−i151+i151−i1500000000000000000000000000000000
χ5788-48-48-4-2-2-4-2-2-23-2311-2-211111−i151+i15−3+i152−3−i152-2-2331−i151+i151−i151+i15−3+i152−3−i152−3+i152−3−i152111−i151+i15−3+i152−3−i152-2-2-2-23311111−i151+i151−i151+i15−3+i152−3−i152−3+i152−3−i15200000000000000000000000000000000
χ5888-48-48-4-2-2-4-2-2-23-2311-2-211111+i151−i15−3−i152−3+i152-2-2331+i151−i151+i151−i15−3−i152−3+i152−3−i152−3+i152111+i151−i15−3−i152−3+i152-2-2-2-23311111+i151−i151+i151−i15−3−i152−3+i152−3−i152−3+i15200000000000000000000000000000000
χ5988-4-4-4-428-228-2-2-2-2-2-41-4122−1−352−1+35211111111−1−352−1+352−1+352−1−352−1−352−1+352−1+352−1−352-411111-41111122−1−352−1+352−1−352−1+352−1+352−1−352−1−352−1+352−1+352−1−35200000000000000000000000000000000
χ6088-4-4-4-428-228-2-2-2-2-2-41-4122−1+352−1−35211111111−1+352−1−352−1−352−1+352−1+352−1−352−1−352−1+352-411111-41111122−1+352−1−352−1+352−1−352−1−352−1+352−1+352−1−352−1−352−1+35200000000000000000000000000000000
χ6188-4-4-4-42-282-28-2-2-2-21-41-4−1−352−1+3522211111111−1−352−1+352−1+352−1−352−1+352−1−352−1−352−1+3521-411111-41111−1−352−1+35222−1−352−1+352−1+352−1−352−1+352−1−352−1−352−1+35200000000000000000000000000000000
χ6288-4-4-4-42-282-28-2-2-2-21-41-4−1+352−1−3522211111111−1+352−1−352−1−352−1+352−1−352−1+352−1+352−1−3521-411111-41111−1+352−1−35222−1+352−1−352−1−352−1+352−1−352−1+352−1+352−1−35200000000000000000000000000000000
χ6388-4-4-4-42-2-22-2-23-23-21111−1−352−1+352−1−352−1+352−3−i152−3+i1521−i151+i15−3−5i32−3+5i3211ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+i152−1−i152−1+i152−1−i15211−3−i152−3+i1521−i151+i1511−3−5i32−3+5i3211−1−352−1+352−1−352−1+352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+i152−1−i152−1+i152−1−i15200000000000000000000000000000000
χ6488-4-4-4-42-2-22-2-23-23-21111−1−352−1+352−1−352−1+352−3+i152−3−i1521+i151−i15−3+5i32−3−5i3211−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−i152−1+i152−1−i152−1+i15211−3+i152−3−i1521+i151−i1511−3+5i32−3−5i3211−1−352−1+352−1−352−1+352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−i152−1+i152−1−i152−1+i15200000000000000000000000000000000
χ6588-4-4-4-42-2-22-2-23-23-21111−1+352−1−352−1+352−1−352−3−i152−3+i1521−i151+i15−3+5i32−3−5i3211−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+i152−1−i152−1+i152−1−i15211−3−i152−3+i1521−i151+i1511−3+5i32−3−5i3211−1+352−1−352−1+352−1−352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+i152−1−i152−1+i152−1−i15200000000000000000000000000000000
χ6688-4-4-4-42-2-22-2-23-23-21111−1+352−1−352−1+352−1−352−3+i152−3−i1521+i151−i15−3−5i32−3+5i3211ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−i152−1+i152−1−i152−1+i15211−3+i152−3−i1521+i151−i1511−3−5i32−3+5i3211−1+352−1−352−1+352−1−352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−i152−1+i152−1−i152−1+i15200000000000000000000000000000000
χ6788-4-4-4-42-2-22-2-2-23-231111−1−352−1+352−1+352−1−3521−i151+i15−3+i152−3−i15211−3−5i32−3+5i32−1+i152−1−i152−1+i152−1−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46111−i151+i15−3+i152−3−i1521111−3−5i32−3+5i32−1−352−1+352−1+352−1−352−1+i152−1−i152−1+i152−1−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ4600000000000000000000000000000000
χ6888-4-4-4-42-2-22-2-2-23-231111−1−352−1+352−1+352−1−3521+i151−i15−3−i152−3+i15211−3+5i32−3−5i32−1−i152−1+i152−1−i152−1+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58111+i151−i15−3−i152−3+i1521111−3+5i32−3−5i32−1−352−1+352−1+352−1−352−1−i152−1+i152−1−i152−1+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ5800000000000000000000000000000000
χ6988-4-4-4-42-2-22-2-2-23-231111−1+352−1−352−1−352−1+3521−i151+i15−3+i152−3−i15211−3+5i32−3−5i32−1+i152−1−i152−1+i152−1−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58111−i151+i15−3+i152−3−i1521111−3+5i32−3−5i32−1+352−1−352−1−352−1+352−1+i152−1−i152−1+i152−1−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ5800000000000000000000000000000000
χ7088-4-4-4-42-2-22-2-2-23-231111−1+352−1−352−1−352−1+3521+i151−i15−3−i152−3+i15211−3−5i32−3+5i32−1−i152−1+i152−1−i152−1+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58111+i151−i15−3−i152−3+i1521111−3−5i32−3+5i32−1+352−1−352−1−352−1+352−1−i152−1+i152−1−i152−1+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ5800000000000000000000000000000000
χ718-888-8-88-2-2-8223-2-32-2-2-2-2-2-2-2-233-2-233-2-23333-2-2-2-222-3-32222-3-3222222-3-3-3-3222200000000000000000000000000000000
χ728-888-8-88-2-2-822-232-3-2-2-2-2-2-2-2-2-2-233-2-233-2-2-2-233332222-3-32222-3-322222222-3-3-3-300000000000000000000000000000000
χ738-88-4-84-48-24-82-2-2228-2-41-4-411-2-2-2-2111111111111-8222224-1-1-1-1-144-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ748-88-4-84-4-2842-8-2-222-281-411-4-4-2-2-2-21111111111112-82222-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100000000000000000000000000000000
χ758-88-4-84-4-2-24223-2-32-2-211111133-2-2−3−5i32−3+5i3211−3−5i32−3−5i32−3+5i32−3+5i32111122-3-322-1-13+5i323−5i32-1-1-1-1-1-13+5i323+5i323−5i323−5i32-1-1-1-100000000000000000000000000000000
χ768-88-4-84-4-2-24223-2-32-2-211111133-2-2−3+5i32−3−5i3211−3+5i32−3+5i32−3−5i32−3−5i32111122-3-322-1-13−5i323+5i32-1-1-1-1-1-13−5i323−5i323+5i323+5i32-1-1-1-100000000000000000000000000000000
χ778-88-4-84-4-2-2422-232-3-2-2111111-2-23311−3−5i32−3+5i321111−3−5i32−3−5i32−3+5i32−3+5i322222-3-3-1-1-1-13+5i323−5i32-1-1-1-1-1-1-1-13+5i323+5i323−5i323−5i3200000000000000000000000000000000
χ788-88-4-84-4-2-2422-232-3-2-2111111-2-23311−3+5i32−3−5i321111−3+5i32−3+5i32−3−5i32−3−5i322222-3-3-1-1-1-13−5i323+5i32-1-1-1-1-1-1-1-13−5i323−5i323+5i323+5i3200000000000000000000000000000000
χ798-8-484-8-48-24-82-2-222-418-2-4-4111111-2-2-2-2111111114-1-1-1-1-1-82222244-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ808-8-484-8-4-2842-8-2-2221-4-2811-4-41111-2-2-2-211111111-14-1-1-1-12-82222-1-144-1-1-1-1-1-1-1-100000000000000000000000000000000
χ818-8-484-8-4-2-24223-2-3211-2-21111−3−i152−3+i1521−i151+i1533-2-2−3−i152−3+i152−3−i152−3+i1521−i151+i151−i151+i15-1-13+i1523−i152−1+i15−1−i1522-3-322-1-1-1-13+i1523−i1523+i1523−i152−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000
χ828-8-484-8-4-2-24223-2-3211-2-21111−3+i152−3−i1521+i151−i1533-2-2−3+i152−3−i152−3+i152−3−i1521+i151−i151+i151−i15-1-13−i1523+i152−1−i15−1+i1522-3-322-1-1-1-13−i1523+i1523−i1523+i152−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000
χ838-8-484-8-4-2-2422-232-311-2-211111−i151+i15−3+i152−3−i152-2-2331−i151+i151−i151+i15−3+i152−3−i152−3+i152−3−i152-1-1−1+i15−1−i153−i1523+i1522222-3-3-1-1-1-1−1+i15−1−i15−1+i15−1−i153−i1523+i1523−i1523+i15200000000000000000000000000000000
χ848-8-484-8-4-2-2422-232-311-2-211111+i151−i15−3−i152−3+i152-2-2331+i151−i151+i151−i15−3−i152−3+i152−3−i152−3+i152-1-1−1−i15−1+i153+i1523−i1522222-3-3-1-1-1-1−1−i15−1+i15−1−i15−1+i153+i1523−i1523+i1523−i15200000000000000000000000000000000
χ858-8-4-44428-2-2-82-2-222-41-4122−1−352−1+35211111111−1−352−1+352−1+352−1−352−1−352−1+352−1+352−1−3524-1-1-1-1-14-1-1-1-1-1-2-21+3521−3521+3521−3521−3521+3521+3521−3521−3521+35200000000000000000000000000000000
χ868-8-4-44428-2-2-82-2-222-41-4122−1+352−1−35211111111−1+352−1−352−1−352−1+352−1+352−1−352−1−352−1+3524-1-1-1-1-14-1-1-1-1-1-2-21−3521+3521−3521+3521+3521−3521−3521+3521+3521−35200000000000000000000000000000000
χ878-8-4-4442-28-22-8-2-2221-41-4−1−352−1+3522211111111−1−352−1+352−1+352−1−352−1+352−1−352−1−352−1+352-14-1-1-1-1-14-1-1-1-11+3521−352-2-21+3521−3521−3521+3521−3521+3521+3521−35200000000000000000000000000000000
χ888-8-4-4442-28-22-8-2-2221-41-4−1+352−1−3522211111111−1+352−1−352−1−352−1+352−1−352−1+352−1+352−1−352-14-1-1-1-1-14-1-1-1-11−3521+352-2-21−3521+3521+3521−3521+3521−3521−3521+35200000000000000000000000000000000
χ898-8-4-4442-2-2-2223-2-321111−1−352−1+352−1−352−1+352−3−i152−3+i1521−i151+i15−3−5i32−3+5i3211ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+i152−1−i152−1+i152−1−i152-1-13+i1523−i152−1+i15−1−i15-1-13+5i323−5i32-1-11+3521−3521+3521−352−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ581−i1521+i1521−i1521+i15200000000000000000000000000000000
χ908-8-4-4442-2-2-2223-2-321111−1−352−1+352−1−352−1+352−3+i152−3−i1521+i151−i15−3+5i32−3−5i3211−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−i152−1+i152−1−i152−1+i152-1-13−i1523+i152−1−i15−1+i15-1-13−5i323+5i32-1-11+3521−3521+3521−352ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ581+i1521−i1521+i1521−i15200000000000000000000000000000000
χ918-8-4-4442-2-2-2223-2-321111−1+352−1−352−1+352−1−352−3−i152−3+i1521−i151+i15−3+5i32−3−5i3211−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+i152−1−i152−1+i152−1−i152-1-13+i1523−i152−1+i15−1−i15-1-13−5i323+5i32-1-11−3521+3521−3521+3523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ581−i1521+i1521−i1521+i15200000000000000000000000000000000
χ928-8-4-4442-2-2-2223-2-321111−1+352−1−352−1+352−1−352−3+i152−3−i1521+i151−i15−3−5i32−3+5i3211ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−i152−1+i152−1−i152−1+i152-1-13−i1523+i152−1−i15−1+i15-1-13+5i323−5i32-1-11−3521+3521−3521+352−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ461+i1521−i1521+i1521−i15200000000000000000000000000000000
χ938-8-4-4442-2-2-222-232-31111−1−352−1+352−1+352−1−3521−i151+i15−3+i152−3−i15211−3−5i32−3+5i32−1+i152−1−i152−1+i152−1−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46-1-1−1+i15−1−i153−i1523+i152-1-1-1-13+5i323−5i321+3521−3521−3521+3521−i1521+i1521−i1521+i152−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ4600000000000000000000000000000000
χ948-8-4-4442-2-2-222-232-31111−1−352−1+352−1+352−1−3521+i151−i15−3−i152−3+i15211−3+5i32−3−5i32−1−i152−1+i152−1−i152−1+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58-1-1−1−i15−1+i153+i1523−i152-1-1-1-13−5i323+5i321+3521−3521−3521+3521+i1521−i1521+i1521−i1523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ5800000000000000000000000000000000
χ958-8-4-4442-2-2-222-232-31111−1+352−1−352−1−352−1+3521−i151+i15−3+i152−3−i15211−3+5i32−3−5i32−1+i152−1−i152−1+i152−1−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58-1-1−1+i15−1−i153−i1523+i152-1-1-1-13−5i323+5i321−3521+3521+3521−3521−i1521+i1521−i1521+i152ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ5800000000000000000000000000000000
χ968-8-4-4442-2-2-222-232-31111−1+352−1−352−1−352−1+3521+i151−i15−3−i152−3+i15211−3−5i32−3+5i32−1−i152−1+i152−1−i152−1+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58-1-1−1−i15−1+i153+i1523−i152-1-1-1-13+5i323−5i321−3521+3521+3521−3521+i1521−i1521+i1521−i152−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ5800000000000000000000000000000000

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