Finite Group Databasebeta

← Group #14313213

Character table — Group #14313213

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222244444444444444444888888888888888888888888881010161616161616161616161616202020202020204040404040404040120120120120120120120120
order1223666224566101010151530303030303044610101212121212202020203030303060606060606060602210202020303060606060606022466662466612121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111111111-1-11-1-1-1-111111-1-1-1-1
χ6111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111111111-1-11-1-1-1-11-1-1-1-11111
χ7111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-111-11111-1ii−i−i−i−iii
χ8111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-111-11111-1−i−iiiii−i−i
χ911111111-1-1111111111111111-1-111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1i−ii−ii−ii−i
χ1011111111-1-1111111111111111-1-111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1−ii−ii−ii−ii
χ1111111111-1-1111111111111111-1-111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-11
χ1211111111-1-1111111111111111-1-111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-111-1-111-1
χ1311111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-11111-1-11-1-11111-11-1-1-111-1i−ii−i−ii−ii
χ1411111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-11111-1-11-1-11111-11-1-1-111-1−ii−iii−ii−i
χ1511111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-1-1-1-11-1111-1-111-1-11-111-1
χ1611111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-1-1-1-11-1111-1-11-111-11-1-11
χ172222222-22-22-2-222222222222002-2-200-2000000-2-2-2-20000000022200-2220000-2-2-22-222-2-20020000-200000000
χ182222222-22-22-2-222222222222002-2-200-2000000-2-2-2-200000000-2-2200-2220000-2-22-22-2-22200-20000200000000
χ192222222-2-222-2-22222222222200-2-2-2002000000-2-2-2-20000000022-2002-2-2000022-2-2222-2-200-20000200000000
χ202222222-2-222-2-22222222222200-2-2-2002000000-2-2-2-200000000-2-2-2002-2-200002222-2-2-2220020000-200000000
χ21222-1-1-1-12222-1-1222-1-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100000000
χ22222-1-1-1-12222-1-1222-1-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-2-2-21111-2-211111100000000
χ23222-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-2-2-12211-111-2-2-2-2-1-1-1-111111111222-2-22-1-11111-1-1222-1-1-1-1-2-2-11111-100000000
χ24222-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-2-2-12211-111-2-2-2-2-1-1-1-111111111-2-22-2-22-1-11111-1-1-2-2-21111221-1-1-1-1100000000
χ25222-1-1-1-12-2-22-1-1222-1-1-1-1-1-1-1-12-2122111-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111112-2-2-1-1-1-12-21-1-111100000000
χ26222-1-1-1-12-2-22-1-1222-1-1-1-1-1-1-1-12-2122111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2221111-22-111-1-1-100000000
χ27222-1-1-1-12-2-22-1-1222-1-1-1-1-1-1-1-1-22122-1-1111-2-2-2-2-1-1-1-11111111122-222-211-1-1-1-1112-2-2-1-1-1-1-22111-1-1100000000
χ28222-1-1-1-12-2-22-1-1222-1-1-1-1-1-1-1-1-22122-1-1111-2-2-2-2-1-1-1-111111111-2-2-222-211-1-1-1-111-22211112-2-1-1-111-100000000
χ29222-1-1-1-1-22-2211222-1-1-1-1-1-1-1-100-1-2-2−i3i31−i3i300001111−i3−i3−i3−i3i3i3i3i322200-2-1-1−i3−i3i3i311-22-2-1-11100-1−i3i3−i3i3100000000
χ30222-1-1-1-1-22-2211222-1-1-1-1-1-1-1-100-1-2-2−i3i31−i3i300001111−i3−i3−i3−i3i3i3i3i3-2-2200-2-1-1−i3−i3i3i3112-2211-1-1001i3−i3i3−i3-100000000
χ31222-1-1-1-1-22-2211222-1-1-1-1-1-1-1-100-1-2-2i3−i31i3−i300001111i3i3i3i3−i3−i3−i3−i322200-2-1-1i3i3−i3−i311-22-2-1-11100-1i3−i3i3−i3100000000
χ32222-1-1-1-1-22-2211222-1-1-1-1-1-1-1-100-1-2-2i3−i31i3−i300001111i3i3i3i3−i3−i3−i3−i3-2-2200-2-1-1i3i3−i3−i3112-2211-1-1001−i3i3−i3i3-100000000
χ33222-1-1-1-1-2-22211222-1-1-1-1-1-1-1-1001-2-2−i3i3-1i3−i300001111i3i3i3i3−i3−i3−i3−i322-200211−i3−i3i3i3-1-1-2-22-1-111001i3−i3−i3i3-100000000
χ34222-1-1-1-1-2-22211222-1-1-1-1-1-1-1-1001-2-2−i3i3-1i3−i300001111i3i3i3i3−i3−i3−i3−i3-2-2-200211−i3−i3i3i3-1-122-211-1-100-1−i3i3i3−i3100000000
χ35222-1-1-1-1-2-22211222-1-1-1-1-1-1-1-1001-2-2i3−i3-1−i3i300001111−i3−i3−i3−i3i3i3i3i322-200211i3i3−i3−i3-1-1-2-22-1-111001−i3i3i3−i3-100000000
χ36222-1-1-1-1-2-22211222-1-1-1-1-1-1-1-1001-2-2i3−i3-1−i3i300001111−i3−i3−i3−i3i3i3i3i3-2-2-200211i3i3−i3−i3-1-122-211-1-100-1i3−i3−i3i3100000000
χ374444444444-144-1-1-1-1-1-1-1-1-1-1-1444-1-144444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000
χ384444444444-144-1-1-1-1-1-1-1-1-1-1-1-4-44-1-1-4-44-4-41111-1-1-1-11111111100-111-1-1-11111-1-100000000000000000000000
χ3944444444-4-4-144-1-1-1-1-1-1-1-1-1-1-14-4-4-1-1-4-4-444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011111111111100000000000000000000000
χ4044444444-4-4-144-1-1-1-1-1-1-1-1-1-1-1-44-4-1-144-4-4-41111-1-1-1-111111111001-1-1111-1-1-1-11100000000000000000000000
χ414444444-44-4-1-4-4-1-1-1-1-1-1-1-1-1-1-10041100-400−5−5551111−5−555−5−55500-1−551-1-1−55−551100000000000000000000000
χ424444444-44-4-1-4-4-1-1-1-1-1-1-1-1-1-1-10041100-40055−5−5111155−5−555−5−500-15−51-1-15−55−51100000000000000000000000
χ434444444-4-44-1-4-4-1-1-1-1-1-1-1-1-1-1-100-41100400−5−5551111−5−555−5−5550015−5-1115−55−5-1-100000000000000000000000
χ444444444-4-44-1-4-4-1-1-1-1-1-1-1-1-1-1-100-4110040055−5−5111155−5−555−5−5001−55-111−55−55-1-100000000000000000000000
χ45444-2-2-2-2444-1-2-2-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15244-2-1-1-2-2-2-2-2-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200-1-1-1-11−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i15200000000000000000000000
χ46444-2-2-2-2444-1-2-2-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-4-4-2-1-122-22211111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i15200-111-11−i1521+i152−1+i152−1−i152−1−i152−1+i1521−i1521+i15200000000000000000000000
χ47444-2-2-2-2444-1-2-2-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15244-2-1-1-2-2-2-2-2-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i15200-1-1-1-11+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i15200000000000000000000000
χ48444-2-2-2-2444-1-2-2-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-4-4-2-1-122-22211111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i15200-111-11+i1521−i152−1−i152−1+i152−1+i152−1−i1521+i1521−i15200000000000000000000000
χ49444-2-2-2-24-4-4-1-2-2-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1524-42-1-1222-2-2-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i152001111−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000
χ50444-2-2-2-24-4-4-1-2-2-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-442-1-1-2-222211111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152001-1-11−1+i152−1−i1521−i1521+i1521+i1521−i152−1+i152−1−i15200000000000000000000000
χ51444-2-2-2-24-4-4-1-2-2-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1524-42-1-1222-2-2-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i152001111−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000
χ52444-2-2-2-24-4-4-1-2-2-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-442-1-1-2-222211111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152001-1-11−1−i152−1+i1521+i1521−i1521−i1521+i152−1−i152−1+i15200000000000000000000000
χ53444-2-2-2-2-44-4-122-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200-211−2i32i32−2i32i355−5−5−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ5800-15−511−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−1+i152−1−i15200000000000000000000000
χ54444-2-2-2-2-44-4-122-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200-2112i3−2i322i3−2i3−5−555−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ5800-1−5511−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−1+i152−1−i15200000000000000000000000
χ55444-2-2-2-2-44-4-122-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200-211−2i32i32−2i32i3−5−555−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ4600-1−5511+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−1−i152−1+i15200000000000000000000000
χ56444-2-2-2-2-44-4-122-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200-2112i3−2i322i3−2i355−5−5−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ4600-15−511+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−1−i152−1+i15200000000000000000000000
χ57444-2-2-2-2-4-44-122-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200211−2i32i3-22i3−2i3−5−555−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580015−5-1−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ581−i1521+i15200000000000000000000000
χ58444-2-2-2-2-4-44-122-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152002112i3−2i3-2−2i32i355−5−5−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58001−55-1−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ581−i1521+i15200000000000000000000000
χ59444-2-2-2-2-4-44-122-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200211−2i32i3-22i3−2i355−5−5−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46001−55-1−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ461+i1521−i15200000000000000000000000
χ60444-2-2-2-2-4-44-122-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152002112i3−2i3-2−2i32i3−5−555−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460015−5-1−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ461+i1521−i15200000000000000000000000
χ6144-44-4-44000400-4-4444-4-4-4-444000000000000000000000000004-40000000000000004-4000000000000000000
χ6244-44-4-44000400-4-4444-4-4-4-44400000000000000000000000000-44000000000000000-44000000000000000000
χ6344-4-222-20004−2i32i3-4-44-2-22222-2-200000000000000−2i32i3−2i32i3000000004-4000000000000000-22−2i32i30000000000000000
χ6444-4-222-20004−2i32i3-4-44-2-22222-2-200000000000000−2i32i3−2i32i300000000-440000000000000002-22i3−2i30000000000000000
χ6544-4-222-200042i3−2i3-4-44-2-22222-2-2000000000000002i3−2i32i3−2i3000000004-4000000000000000-222i3−2i30000000000000000
χ6644-4-222-200042i3−2i3-4-44-2-22222-2-2000000000000002i3−2i32i3−2i300000000-440000000000000002-2−2i32i30000000000000000
χ6788-88-8-88000-20022-2-2-22222-2-2000−2525000000000−252525−25000000000000000000000000000000000000000000000
χ6888-88-8-88000-20022-2-2-22222-2-200025−2500000000025−25−2525000000000000000000000000000000000000000000000
χ6988-8-444-4000-2−4i34i322-21−i151+i15−1+i15−1+i15−1−i15−1−i151−i151+i1500025−250000000002ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46000000000000000000000000000000000000000000000
χ7088-8-444-4000-2−4i34i322-21+i151−i15−1−i15−1−i15−1+i15−1+i151+i151−i15000−25250000000002ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58000000000000000000000000000000000000000000000
χ7188-8-444-4000-24i3−4i322-21−i151+i15−1+i15−1+i15−1−i15−1−i151−i151+i15000−2525000000000−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46000000000000000000000000000000000000000000000
χ7288-8-444-4000-24i3−4i322-21+i151−i15−1−i15−1−i15−1+i15−1+i151+i151−i1500025−25000000000−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58000000000000000000000000000000000000000000000
χ738-80800-800080000-8880000-8-8000000000000000000000000000000000000000000000000000000000000000
χ748-80800-8000-200−25252-2-2−2525−2525220000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000000000000
χ758-80800-8000-200−25252-2-2−2525−25252200000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000000000000
χ768-80800-8000-20025−252-2-225−2525−252200000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000000000000
χ778-80800-8000-20025−252-2-225−2525−25220000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000000000000
χ788-80-4−4i34i3400080000-8-4-4−4i34i34i3−4i344000000000000000000000000000000000000000000000000000000000000000
χ798-80-4−4i34i34000-200−252521+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i150000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000−2ζ19+2ζ312ζ19−2ζ31−2ζ7+2ζ432ζ7−2ζ432ζ11−2ζ59−2ζ11+2ζ592ζ23−2ζ47−2ζ23+2ζ470000000000000000000000000000000000000
χ808-80-4−4i34i34000-200−252521+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i1500000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700002ζ19−2ζ31−2ζ19+2ζ312ζ7−2ζ43−2ζ7+2ζ43−2ζ11+2ζ592ζ11−2ζ59−2ζ23+2ζ472ζ23−2ζ470000000000000000000000000000000000000
χ818-80-4−4i34i34000-20025−2521−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i1500000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−2ζ7+2ζ432ζ7−2ζ432ζ19−2ζ31−2ζ19+2ζ312ζ23−2ζ47−2ζ23+2ζ47−2ζ11+2ζ592ζ11−2ζ590000000000000000000000000000000000000
χ828-80-4−4i34i34000-20025−2521−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i150000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900002ζ7−2ζ43−2ζ7+2ζ43−2ζ19+2ζ312ζ19−2ζ31−2ζ23+2ζ472ζ23−2ζ472ζ11−2ζ59−2ζ11+2ζ590000000000000000000000000000000000000
χ838-80-44i3−4i3400080000-8-4-44i3−4i3−4i34i344000000000000000000000000000000000000000000000000000000000000000
χ848-80-44i3−4i34000-200−252521−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i150000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700002ζ11−2ζ59−2ζ11+2ζ592ζ23−2ζ47−2ζ23+2ζ47−2ζ19+2ζ312ζ19−2ζ31−2ζ7+2ζ432ζ7−2ζ430000000000000000000000000000000000000
χ858-80-44i3−4i34000-200−252521−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i1500000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−2ζ11+2ζ592ζ11−2ζ59−2ζ23+2ζ472ζ23−2ζ472ζ19−2ζ31−2ζ19+2ζ312ζ7−2ζ43−2ζ7+2ζ430000000000000000000000000000000000000
χ868-80-44i3−4i34000-20025−2521+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i1500000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900002ζ23−2ζ47−2ζ23+2ζ47−2ζ11+2ζ592ζ11−2ζ59−2ζ7+2ζ432ζ7−2ζ432ζ19−2ζ31−2ζ19+2ζ310000000000000000000000000000000000000
χ878-80-44i3−4i34000-20025−2521+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i150000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−2ζ23+2ζ472ζ23−2ζ472ζ11−2ζ59−2ζ11+2ζ592ζ7−2ζ43−2ζ7+2ζ43−2ζ19+2ζ312ζ19−2ζ310000000000000000000000000000000000000

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