Finite Group Databasebeta

← Group #14302993

Character table — Group #14302993

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444444444888888888888888888888888881010101016161616161616161616161620202020202040404040404040406060606060606060120120120120
order1222236662456610101015153030303030304461010121212121220202020303030306060606060606060222210202020303060606060606024666624666121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1
χ61111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-111-11111-1iiii−i−i−i−i−i−iii
χ81111111111111111111111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-111-11111-1−i−i−i−iiiiiii−i−i
χ9111111111-1-1111111111111111-1-111-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-1-11-11-1
χ10111111111-1-1111111111111111-1-111-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-1-111-11-11
χ11111111111-1-1111111111111111-1-111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111ii−i−i−i−iiii−i−ii
χ12111111111-1-1111111111111111-1-111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111−i−iiiii−i−i−iii−i
χ13111111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-11-1-1-111-111-1-111-1-1-11-11
χ14111111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-11-1-1-111-1-1-111-1-1111-11-1
χ15111111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11-1111-1-11ii−i−i−i−iii−iii−i
χ16111111111-1-111111111111111-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11-1111-1-11−i−iiiii−i−ii−i−ii
χ1722222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ1822222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000
χ1922222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-2-2-12211-111-2-2-2-2-1-1-1-11111111122222-2-22-1-11111-1-122-1-1-1-1-2-2-11111-1000000000000
χ2022222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-2-2-12211-111-2-2-2-2-1-1-1-111111111-2-2-2-22-2-22-1-11111-1-1-2-21111221-1-1-1-11000000000000
χ2122222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-12-2122111-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-2-1-1-1-12-21-1-1111000000000000
χ2222222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-12-2122111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111221111-22-111-1-1-1000000000000
χ2322222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-1-22122-1-1111-2-2-2-2-1-1-1-1111111112222-222-211-1-1-1-111-2-2-1-1-1-1-22111-1-11000000000000
χ2422222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-1-22122-1-1111-2-2-2-2-1-1-1-111111111-2-2-2-2-222-211-1-1-1-1112211112-2-1-1-111-1000000000000
χ25222-2-22-2-220022-2-2-2222-2-2-2-2220002-200000000022-2-20000000022-2-20000000000000022-2-200000000002i−2i002i−2i0000
χ26222-2-22-2-220022-2-2-2222-2-2-2-2220002-200000000022-2-20000000022-2-20000000000000022-2-20000000000−2i2i00−2i2i0000
χ27222-2-22-2-220022-2-2-2222-2-2-2-2220002-200000000022-2-200000000-2-22200000000000000-2-22200000000002-200-220000
χ28222-2-22-2-220022-2-2-2222-2-2-2-2220002-200000000022-2-200000000-2-22200000000000000-2-2220000000000-22002-20000
χ2922-22-22-2-22002-22-2-2222-2-2-2-222000-22000000000-2-222000000002-22-2000000000000002-22-2000000002i−2i002i−2i000000
χ3022-22-22-2-22002-22-2-2222-2-2-2-222000-22000000000-2-222000000002-22-2000000000000002-22-200000000−2i2i00−2i2i000000
χ3122-22-22-2-22002-22-2-2222-2-2-2-222000-22000000000-2-22200000000-22-2200000000000000-22-22000000002-200-22000000
χ3222-22-22-2-22002-22-2-2222-2-2-2-222000-22000000000-2-22200000000-22-2200000000000000-22-2200000000-22002-2000000
χ3322-2-2222222-22-2-222222222222002-2-200-2000000-2-2-2-2000000002-2-22200-2220000-2-22-22-2-220020000-2000000000000
χ3422-2-2222222-22-2-222222222222002-2-200-2000000-2-2-2-200000000-222-2200-2220000-2-2-22-222-200-200002000000000000
χ3522-2-222222-222-2-22222222222200-2-2-2002000000-2-2-2-2000000002-2-22-2002-2-2000022-222-2-2200-200002000000000000
χ3622-2-222222-222-2-22222222222200-2-2-2002000000-2-2-2-200000000-222-2-2002-2-20000222-2-222-20020000-2000000000000
χ3722-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1-2-2−i3i31−i3i300001111−i3−i3−i3−i3i3i3i3i32-2-22200-2-1-1−i3−i3i3i3112-2-111-100-1−i3i3−i3i31000000000000
χ3822-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1-2-2−i3i31−i3i300001111−i3−i3−i3−i3i3i3i3i3-222-2200-2-1-1−i3−i3i3i311-221-1-11001i3−i3i3−i3-1000000000000
χ3922-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1-2-2i3−i31i3−i300001111i3i3i3i3−i3−i3−i3−i32-2-22200-2-1-1i3i3−i3−i3112-2-111-100-1i3−i3i3−i31000000000000
χ4022-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1-2-2i3−i31i3−i300001111i3i3i3i3−i3−i3−i3−i3-222-2200-2-1-1i3i3−i3−i311-221-1-11001−i3i3−i3i3-1000000000000
χ4122-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001-2-2−i3i3-1i3−i300001111i3i3i3i3−i3−i3−i3−i32-2-22-200211−i3−i3i3i3-1-1-22-111-1001i3−i3−i3i3-1000000000000
χ4222-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001-2-2−i3i3-1i3−i300001111i3i3i3i3−i3−i3−i3−i3-222-2-200211−i3−i3i3i3-1-12-21-1-1100-1−i3i3i3−i31000000000000
χ4322-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001-2-2i3−i3-1−i3i300001111−i3−i3−i3−i3i3i3i3i32-2-22-200211i3i3−i3−i3-1-1-22-111-1001−i3i3i3−i3-1000000000000
χ4422-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001-2-2i3−i3-1−i3i300001111−i3−i3−i3−i3i3i3i3i3-222-2-200211i3i3−i3−i3-1-12-21-1-1100-1i3−i3−i3i31000000000000
χ4544444444444-144-1-1-1-1-1-1-1-1-1-1-1444-1-144444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ4644444444444-144-1-1-1-1-1-1-1-1-1-1-1-4-44-1-1-4-44-4-41111-1-1-1-1111111110000-111-1-1-11111-1-100000000000000000000000000
χ47444444444-4-4-144-1-1-1-1-1-1-1-1-1-1-14-4-4-1-1-4-4-444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111111100000000000000000000000000
χ48444444444-4-4-144-1-1-1-1-1-1-1-1-1-1-1-44-4-1-144-4-4-41111-1-1-1-11111111100001-1-1111-1-1-1-11100000000000000000000000000
χ4944444-2-2-2-244-1-2-2-1-1-11−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+i1520000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000
χ5044444-2-2-2-244-1-2-2-1-1-11−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−i1520000-111-11−i1521+i152−1+i152−1−i152−1+i152−1−i1521−i1521+i15200000000000000000000000000
χ5144444-2-2-2-244-1-2-2-1-1-11+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−i1520000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000
χ5244444-2-2-2-244-1-2-2-1-1-11+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+i1520000-111-11+i1521−i152−1−i152−1+i152−1−i152−1+i1521+i1521−i15200000000000000000000000000
χ5344444-2-2-2-2-4-4-1-2-2-1-1-11−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+i15200001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000
χ5444444-2-2-2-2-4-4-1-2-2-1-1-11−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−i15200001-1-11−1+i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1−i15200000000000000000000000000
χ5544444-2-2-2-2-4-4-1-2-2-1-1-11+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−i15200001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000
χ5644444-2-2-2-2-4-4-1-2-2-1-1-11+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+i15200001-1-11−1−i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1+i15200000000000000000000000000
χ57444-4-4-222-2004-22-4-44-2-22222-2-20004-4000000000-2-2220000000044-4-400000000000000-2-22200000000000000000000
χ58444-4-4-222-2004-22-4-44-2-22222-2-20004-4000000000-2-22200000000-4-4440000000000000022-2-200000000000000000000
χ5944-44-4-222-20042-2-4-44-2-22222-2-2000-4400000000022-2-2000000004-44-400000000000000-22-2200000000000000000000
χ6044-44-4-222-20042-2-4-44-2-22222-2-2000-4400000000022-2-200000000-44-44000000000000002-22-200000000000000000000
χ6144-4-4444444-4-1-4-4-1-1-1-1-1-1-1-1-1-1-10041100-400−5−5551111−5−55555−5−50000-1−551-1-1−555−51100000000000000000000000000
χ6244-4-4444444-4-1-4-4-1-1-1-1-1-1-1-1-1-1-10041100-40055−5−5111155−5−5−5−5550000-15−51-1-15−5−551100000000000000000000000000
χ6344-4-444444-44-1-4-4-1-1-1-1-1-1-1-1-1-1-100-41100400−5−5551111−5−55555−5−5000015−5-1115−5−55-1-100000000000000000000000000
χ6444-4-444444-44-1-4-4-1-1-1-1-1-1-1-1-1-1-100-4110040055−5−5111155−5−5−5−55500001−55-111−555−5-1-100000000000000000000000000
χ6544-4-44-2-2-2-24-4-122-1-1-11−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−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000-15−511−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−1+i152−1−i15200000000000000000000000000
χ6644-4-44-2-2-2-24-4-122-1-1-11−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+ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ460000-1−5511−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−1+i152−1−i15200000000000000000000000000
χ6744-4-44-2-2-2-24-4-122-1-1-11+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−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ580000-1−5511+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−1−i152−1+i15200000000000000000000000000
χ6844-4-44-2-2-2-24-4-122-1-1-11+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+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000-15−511+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−1−i152−1+i15200000000000000000000000000
χ6944-4-44-2-2-2-2-44-122-1-1-11−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+ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46000015−5-1−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ461−i1521+i15200000000000000000000000000
χ7044-4-44-2-2-2-2-44-122-1-1-11−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−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ4600001−55-1−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ461−i1521+i15200000000000000000000000000
χ7144-4-44-2-2-2-2-44-122-1-1-11+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+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ5800001−55-1−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ581+i1521−i15200000000000000000000000000
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χ918-8000-44i3−4i3400-200−252521−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+2ζ472ζ23−2ζ472ζ7−2ζ43−2ζ7+2ζ432ζ19−2ζ31−2ζ19+2ζ31000000000000000000000000000000000000000000
χ928-8000-44i3−4i3400-20025−2521+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+2ζ592ζ11−2ζ592ζ19−2ζ31−2ζ19+2ζ31−2ζ7+2ζ432ζ7−2ζ43000000000000000000000000000000000000000000
χ938-8000-44i3−4i3400-20025−2521+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+2ζ59−2ζ19+2ζ312ζ19−2ζ312ζ7−2ζ43−2ζ7+2ζ43000000000000000000000000000000000000000000

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