Finite Group Databasebeta

← Group #72231366

Character table — Group #72231366

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222244444488888888888888888888888888888888888888888888888888882525505050509090100100150150150150150150150150150150150150180180180180
order1233663556101055101015151515151515151515151515151515151515151515151530303030303030303030303030303030303030303030303022666644664444121212121212121220202020
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1i−ii−iii−i−iii−i−i11-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1−ii−ii−i−iii−i−iii11-1-1
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1i−i−iiii−i−i−i−iii-1-111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1−iii−i−i−iiiii−i−i-1-111
χ9222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-12-100-1-100220000-1-1-1-10000
χ10222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-12-100-1-100-2-2000011110000
χ11222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21-210011002i−2i0000−i−iii0000
χ12222-12-1-122-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21-21001100−2i2i0000ii−i−i0000
χ1322-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-12-1200-1-12200-1-1-1-100000000
χ1422-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-12-1200-1-1-2-200111100000000
χ1522-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21-21-200112i−2i00−i−iii00000000
χ1622-12-12-122-1222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21-21-20011−2i2i00ii−i−i00000000
χ172-222-2-2222-2-2-222-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-222-2-2002-20000000000000000
χ182-222-2-2222-2-2-222-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-22200-220000000000000000
χ192-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111112-22-1-2100-11000000003−33−30000
χ202-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111112-22-1-2100-1100000000−33−330000
χ212-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-22-212-1001-100000000−i3i3i3−i30000
χ222-22-1-21-1221-2-222-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-22-212-1001-100000000i3−i3−i3i30000
χ232-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-21111111111112-2-121-200-1100003−33−300000000
χ242-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-21111111111112-2-121-200-110000−33−3300000000
χ252-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111-221-2-12001-10000−i3i3i3−i300000000
χ262-2-121-2-1221-2-222-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111-221-2-12001-10000i3−i3−i3i300000000
χ2744444444-144-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000000040000000000000000-1-1
χ2844444444-144-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10000000-4000000000000000011
χ294444444-144-14-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-10000004000000000000000-1-100
χ304444444-144-14-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1000000-40000000000000001100
χ3144-2-2-2-21441444444-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-211111111111144-2-2-2-200110000000000000000
χ3244-2-2-2-21441444444-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111-4-4222200-1-10000000000000000
χ334-444-4-444-1-4-41-1-1114-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-411111-411111-4-41111111111000000000000000000000000−i5i5
χ344-444-4-444-1-4-41-1-1114-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-411111-411111-4-41111111111000000000000000000000000i5−i5
χ354-444-4-44-14-41-4-1-111-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-411111-4111111-4-4111111110000000000000000000000−i5i500
χ364-444-4-44-14-41-4-1-111-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-411111-4111111-4-4111111110000000000000000000000i5−i500
χ374-4-2-222144-1-4-444-4-4-2-2-2-21111-2-2-2-2-2-2-2-211111111222222222222-1-1-1-1-1-1-1-1-1-1-1-14-4-2-222001-10000000000000000
χ384-4-2-222144-1-4-444-4-4-2-2-2-21111-2-2-2-2-2-2-2-211111111222222222222-1-1-1-1-1-1-1-1-1-1-1-1-4422-2-200-110000000000000000
χ398888888-2-28-2-23-23-2-2-2-2-2-2-2-2-233-2-233-2-23333-2-2-2-2-2-233-2-2-2-233-2-2-2-2-2-23333-2-2-2-200000000000000000000000000
χ408888888-2-28-2-2-23-23-2-2-2-2-2-2-2-2-2-233-2-233-2-2-2-23333-2-2-2-233-2-2-2-233-2-2-2-2-2-2-2-2333300000000000000000000000000
χ41888-48-4-48-2-48-2-2-2-2-28-2-41-4-411-2-2-2-21111111111118-2-2-2-2-2-411111-4-4111111111100000000000000000000000000
χ42888-48-4-4-28-4-28-2-2-2-2-281-411-4-4-2-2-2-2111111111111-28-2-2-2-21-4111111-4-41111111100000000000000000000000000
χ43888-48-4-4-2-2-4-2-23-23-2-2-211111133-2-2−3−5i32−3+5i3211−3−5i32−3−5i32−3+5i32−3+5i321111-2-233-2-211−3−5i32−3+5i32111111−3−5i32−3−5i32−3+5i32−3+5i32111100000000000000000000000000
χ44888-48-4-4-2-2-4-2-23-23-2-2-211111133-2-2−3+5i32−3−5i3211−3+5i32−3+5i32−3−5i32−3−5i321111-2-233-2-211−3+5i32−3−5i32111111−3+5i32−3+5i32−3−5i32−3−5i32111100000000000000000000000000
χ45888-48-4-4-2-2-4-2-2-23-23-2-2111111-2-23311−3−5i32−3+5i321111−3−5i32−3−5i32−3+5i32−3+5i32-2-2-2-2331111−3−5i32−3+5i3211111111−3−5i32−3−5i32−3+5i32−3+5i3200000000000000000000000000
χ46888-48-4-4-2-2-4-2-2-23-23-2-2111111-2-23311−3+5i32−3−5i321111−3+5i32−3+5i32−3−5i32−3−5i32-2-2-2-2331111−3+5i32−3−5i3211111111−3+5i32−3+5i32−3−5i32−3−5i3200000000000000000000000000
χ4788-48-48-48-2-48-2-2-2-2-2-418-2-4-4111111-2-2-2-211111111-4111118-2-2-2-2-2-4-4111111111100000000000000000000000000
χ4888-48-48-4-28-4-28-2-2-2-21-4-2811-4-41111-2-2-2-2111111111-41111-28-2-2-2-211-4-41111111100000000000000000000000000
χ4988-48-48-4-2-2-4-2-23-23-211-2-21111−3−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+i1500000000000000000000000000
χ5088-48-48-4-2-2-4-2-23-23-211-2-21111−3+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−i1500000000000000000000000000
χ5188-48-48-4-2-2-4-2-2-23-2311-2-211111−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−i15200000000000000000000000000
χ5288-48-48-4-2-2-4-2-2-23-2311-2-211111+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+i15200000000000000000000000000
χ5388-4-4-4-428-228-2-2-2-2-2-41-4122−1−352−1+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+352−1−35200000000000000000000000000
χ5488-4-4-4-428-228-2-2-2-2-2-41-4122−1+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+35200000000000000000000000000
χ5588-4-4-4-42-282-28-2-2-2-21-41-4−1−352−1+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+35200000000000000000000000000
χ5688-4-4-4-42-282-28-2-2-2-21-41-4−1+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+352−1−35200000000000000000000000000
χ5788-4-4-4-42-2-22-2-23-23-21111−1−352−1+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−i15200000000000000000000000000
χ5888-4-4-4-42-2-22-2-23-23-21111−1−352−1+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+i15200000000000000000000000000
χ5988-4-4-4-42-2-22-2-23-23-21111−1+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−i15200000000000000000000000000
χ6088-4-4-4-42-2-22-2-23-23-21111−1+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+i15200000000000000000000000000
χ6188-4-4-4-42-2-22-2-2-23-231111−1−352−1+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+ζ4600000000000000000000000000
χ6288-4-4-4-42-2-22-2-2-23-231111−1−352−1+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−ζ46−3ζ5800000000000000000000000000
χ6388-4-4-4-42-2-22-2-2-23-231111−1+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−ζ5800000000000000000000000000
χ6488-4-4-4-42-2-22-2-2-23-231111−1+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+ζ5800000000000000000000000000
χ658-888-8-88-2-2-8223-2-32-2-2-2-2-2-2-2-233-2-233-2-23333-2-2-2-222-3-32222-3-3222222-3-3-3-3222200000000000000000000000000
χ668-888-8-88-2-2-822-232-3-2-2-2-2-2-2-2-2-2-233-2-233-2-2-2-233332222-3-32222-3-322222222-3-3-3-300000000000000000000000000
χ678-88-4-84-48-24-82-2-2228-2-41-4-411-2-2-2-2111111111111-8222224-1-1-1-1-144-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ688-88-4-84-4-2842-8-2-222-281-411-4-4-2-2-2-21111111111112-82222-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100000000000000000000000000
χ698-88-4-84-4-2-24223-2-32-2-211111133-2-2−3−5i32−3+5i3211−3−5i32−3−5i32−3+5i32−3+5i32111122-3-322-1-13+5i323−5i32-1-1-1-1-1-13+5i323+5i323−5i323−5i32-1-1-1-100000000000000000000000000
χ708-88-4-84-4-2-24223-2-32-2-211111133-2-2−3+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+5i32-1-1-1-100000000000000000000000000
χ718-88-4-84-4-2-2422-232-3-2-2111111-2-23311−3−5i32−3+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+5i323−5i323−5i3200000000000000000000000000
χ728-88-4-84-4-2-2422-232-3-2-2111111-2-23311−3+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+5i3200000000000000000000000000
χ738-8-484-8-48-24-82-2-222-418-2-4-4111111-2-2-2-2111111114-1-1-1-1-1-82222244-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ748-8-484-8-4-2842-8-2-2221-4-2811-4-41111-2-2-2-211111111-14-1-1-1-12-82222-1-144-1-1-1-1-1-1-1-100000000000000000000000000
χ758-8-484-8-4-2-24223-2-3211-2-21111−3−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−i1500000000000000000000000000
χ768-8-484-8-4-2-24223-2-3211-2-21111−3+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+i1500000000000000000000000000
χ778-8-484-8-4-2-2422-232-311-2-211111−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+i15200000000000000000000000000
χ788-8-484-8-4-2-2422-232-311-2-211111+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−i15200000000000000000000000000
χ798-8-4-44428-2-2-82-2-222-41-4122−1−352−1+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+35200000000000000000000000000
χ808-8-4-44428-2-2-82-2-222-41-4122−1+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+3521−35200000000000000000000000000
χ818-8-4-4442-28-22-8-2-2221-41-4−1−352−1+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+3521−35200000000000000000000000000
χ828-8-4-4442-28-22-8-2-2221-41-4−1+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+35200000000000000000000000000
χ838-8-4-4442-2-2-2223-2-321111−1−352−1+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+i15200000000000000000000000000
χ848-8-4-4442-2-2-2223-2-321111−1−352−1+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−i15200000000000000000000000000
χ858-8-4-4442-2-2-2223-2-321111−1+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+i15200000000000000000000000000
χ868-8-4-4442-2-2-2223-2-321111−1+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−i15200000000000000000000000000
χ878-8-4-4442-2-2-222-232-31111−1−352−1+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−ζ4600000000000000000000000000
χ888-8-4-4442-2-2-222-232-31111−1−352−1+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+3ζ5800000000000000000000000000
χ898-8-4-4442-2-2-222-232-31111−1+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+ζ5800000000000000000000000000
χ908-8-4-4442-2-2-222-232-31111−1+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−ζ5800000000000000000000000000

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