Finite Group Databasebeta

← Group #14268443

Character table — Group #14268443

Order 1800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size122224444444444445888888888888888888888101010101520202020202020202030454560606075757590909090150150150
order133553515151515151515151515255151515151515151515151515151515151515156610102630303030303030306441030302442020202061212
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111-1111111111-111-1-1-1-1-1-11111-1-1-1
χ41111111111111111111111111111111111111111111-1111111111-1-1-1-1-1-1-111-1-1-1-1-111
χ511111111111111111-1111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11i−i111-1i−iii−i−i-1i−i
χ611111111111111111-1111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-11−ii111-1−ii−i−iii-1−ii
χ711111111111111111-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i-1-1-11−iiii−i−i1−ii
χ811111111111111111-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii-1-1-11i−i−i−iii1i−i
χ9222−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1+52222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1+5202−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52022000000−1−52−1+52−1−52−1+52000
χ10222−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1+52222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1+5202−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2-20000001+521−521+521−52000
χ11222−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2−1−52−1+52222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521−520-21+521+521+521+521−521−521−521−5202i−2i000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47000
χ12222−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2−1−52−1+52222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521−520-21+521+521+521+521−521−521−521−520−2i2i000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000
χ13222−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1−52222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1−5202−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52022000000−1+52−1−52−1+52−1−52000
χ14222−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1−52222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1−5202−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2-20000001−521+521−521+52000
χ15222−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2−1+52−1−52222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521+520-21−521−521−521−521+521+521+521+5202i−2i000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59000
χ16222−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2−1+52−1−52222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521+520-21−521−521−521−521+521+521+521+520−2i2i000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59000
χ1722-122-122-1-1-12-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1002-1-12000000-100
χ1822-122-122-1-1-12-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1222-2-12-1-1-12-1-1-1100-211-2000000100
χ1922-122-122-1-1-12-1-1-1-1-1-2222-1-122-1-1-1-1-1-122-1-1-1-1-1-11-2-2-221-2111-2111-1002-1-1-2000000100
χ2022-122-122-1-1-12-1-1-1-1-1-2222-1-122-1-1-1-1-1-122-1-1-1-1-1-11-2-2-2-21-2111-2111100-2112000000-100
χ212-1222-12-12-1-1-12-1-122222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1220-1-12-1-1-12-1-100000002200000-1-1
χ222-1222-12-12-1-1-12-1-122222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1220-1-12-1-1-12-1-10000000-2-20000011
χ232-1222-12-12-1-1-12-1-122-222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-21-2-2011-2111-21100000002i−2i00000−ii
χ242-1222-12-12-1-1-12-1-122-222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-21-2-2011-2111-2110000000−2i2i00000i−i
χ25444444-144444444-1-10-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100004000000000400-1-1-10000000000
χ26444444-144444444-1-10-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4000000000-4001110000000000
χ2744-244-2-14-2-2-24-2-2-21−i1521+i1520-1-1-11−i1521+i152-1-11−i1521+i1521−i1521−i1521+i1521+i152-1-11−i1521+i1521−i1521−i1521+i1521+i15200004000000000-200-11−i1521+i1520000000000
χ2844-244-2-14-2-2-24-2-2-21−i1521+i1520-1-1-11−i1521+i152-1-11−i1521+i1521−i1521−i1521+i1521+i152-1-11−i1521+i1521−i1521−i1521+i1521+i1520000-40000000002001−1+i152−1−i1520000000000
χ2944-244-2-14-2-2-24-2-2-21+i1521−i1520-1-1-11+i1521−i152-1-11+i1521−i1521+i1521+i1521−i1521−i152-1-11+i1521−i1521+i1521+i1521−i1521−i15200004000000000-200-11+i1521−i1520000000000
χ3044-244-2-14-2-2-24-2-2-21+i1521−i1520-1-1-11+i1521−i152-1-11+i1521−i1521+i1521+i1521−i1521−i152-1-11+i1521−i1521+i1521+i1521−i1521−i1520000-40000000002001−1−i152−1+i1520000000000
χ3144-2−1−5−1+5-24−1−51+521+521+52−1+51−521−521−52-2-24−1−5−1+54-2-2−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−52-24−1−5−1+50-2−1−51+521+521+52−1+51−521−521−520000000000000000
χ3244-2−1−5−1+5-24−1−51+521+521+52−1+51−521−521−52-2-2-4−1−5−1+54-2-2−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−522-41+51−5021+5−1−52−1−52−1−521−5−1+52−1+52−1+520000000000000000
χ3344-2−1+5−1−5-24−1+51−521−521−52−1−51+521+521+52-2-24−1+5−1−54-2-2−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+52-24−1+5−1−50-2−1+51−521−521−52−1−51+521+521+520000000000000000
χ3444-2−1+5−1−5-24−1+51−521−521−52−1−51+521+521+52-2-2-4−1+5−1−54-2-2−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+522-41−51+5021−5−1+52−1+52−1+521+5−1−52−1−52−1−520000000000000000
χ354-24−1−5−1+5-241+52−1−51+521+521−52−1+51−521−52444−1−5−1+5-2-2-21+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−524-2−1−5−1+50-21+52−1−51+521+521−52−1+51−521−520000000000000000
χ364-24−1−5−1+5-241+52−1−51+521+521−52−1+51−521−5244-4−1−5−1+5-2-2-21+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−52-421+51−502−1−521+5−1−52−1−52−1+521−5−1+52−1+520000000000000000
χ374-24−1+5−1−5-241−52−1+51−521−521+52−1−51+521+52444−1+5−1−5-2-2-21−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+524-2−1+5−1−50-21−52−1+51−521−521+52−1−51+521+520000000000000000
χ384-24−1+5−1−5-241−52−1+51−521−521+52−1−51+521+5244-4−1+5−1−5-2-2-21−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+52-421−51+502−1+521−5−1+52−1+52−1−521+5−1−52−1−520000000000000000
χ394-2-24414-2-211-2-211-2-2444-211-2-2-2-21111-2-2-2-21111-2-24401-2-211-2-2110000000000000000
χ404-2-24414-2-211-2-211-2-2-444-211-2-2-2-21111-2-2-2-2111122-4-40-122-1-122-1-10000000000000000
χ414-2-2−1−5−1+5141+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58-2-24−1−5−1+5-2111+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58-2-2−1−5−1+5011+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000000000000000
χ424-2-2−1−5−1+5141+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58-2-2-4−1−5−1+5-2111+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58221+51−50-1−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ580000000000000000
χ434-2-2−1−5−1+5141+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58-2-24−1−5−1+5-2111+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58-2-2−1−5−1+5011+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000000000000000
χ444-2-2−1−5−1+5141+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58-2-2-4−1−5−1+5-2111+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58221+51−50-1−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ580000000000000000
χ454-2-2−1+5−1−5141−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46-2-24−1+5−1−5-2111−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46-2-2−1+5−1−5011−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000000000000000
χ464-2-2−1+5−1−5141−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46-2-2-4−1+5−1−5-2111−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46221−51+50-1−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ460000000000000000
χ474-2-2−1+5−1−5141−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46-2-24−1+5−1−5-2111−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46-2-2−1+5−1−5011−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000000000000000
χ484-2-2−1+5−1−5141−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46-2-2-4−1+5−1−5-2111−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46221−51+50-1−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ460000000000000000
χ49888−2−25−2+258-2−2−25−2−25−2−25−2−25−2+25−2+25−2+25−2+25-2-201+521−52-2-2-21+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000000000000000000000000000000
χ50888−2+25−2−258-2−2+25−2+25−2+25−2+25−2−25−2−25−2−25−2−25-2-201−521+52-2-2-21−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52000000000000000000000000000000
χ5188-4−2−25−2+25-4-2−2−251+51+51+5−2+251−51−51−51−i151+i1501+521−52-21−i151+i151+521+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ581−521−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58000000000000000000000000000000
χ5288-4−2−25−2+25-4-2−2−251+51+51+5−2+251−51−51−51+i151−i1501+521−52-21+i151−i151+521+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ581−521−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58000000000000000000000000000000
χ5388-4−2+25−2−25-4-2−2+251−51−51−5−2−251+51+51+51−i151+i1501−521+52-21−i151+i151−521−52−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ581+521+52ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58000000000000000000000000000000
χ5488-4−2+25−2−25-4-2−2+251−51−51−5−2−251+51+51+51+i151−i1501−521+52-21+i151−i151−521−522ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ581+521+52−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58000000000000000000000000000000
χ558-4888-4-2-48-4-4-48-4-4-2-20-2-211111-2-2111111-2-21111000000000000000000000000000000
χ568-48−2−25−2+25-4-21+5−2−251+51+51−5−2+251−51−5-2-201+521−52111ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ581+521+52ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ461−521−52−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ58ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46000000000000000000000000000000
χ578-48−2−25−2+25-4-21+5−2−251+51+51−5−2+251−51−5-2-201+521−52111−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ581+521+52−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ581−521−52ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ58000000000000000000000000000000
χ588-48−2+25−2−25-4-21−5−2+251−51−51+5−2−251+51+5-2-201−521+52111ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ461−521−52ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ581+521+52ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58000000000000000000000000000000
χ598-48−2+25−2−25-4-21−5−2+251−51−51+5−2−251+51+5-2-201−521+52111−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ581−521−52−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ58ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ581+521+52−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58000000000000000000000000000000
χ608-4-4882-2-4-422-4-4221−i151+i150-2-21−1+i152−1−i152111−i151+i15−1+i152−1+i152−1−i152−1−i152111−i151+i15−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000
χ618-4-4882-2-4-422-4-4221+i151−i150-2-21−1−i152−1+i152111+i151−i15−1−i152−1−i152−1+i152−1+i152111+i151−i15−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000
χ628-4-4−2−25−2+252-21+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ461−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ581−i151+i1501+521−521−1+i152−1−i152ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−ζ2+ζ22−2ζ26+ζ34−2ζ14−ζ38+ζ46+ζ58ζ2+ζ14−ζ22−2ζ46ζ26−2ζ34+ζ38−ζ58ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58ζ14−2ζ22−ζ34+ζ38ζ2+ζ26−ζ46−2ζ58−2ζ2−ζ14+ζ34+ζ58ζ22−ζ26−2ζ38+ζ46000000000000000000000000000000
χ638-4-4−2−25−2+252-21+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ461−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ581+i151−i1501+521−521−1−i152−1+i152−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−2ζ46ζ26−2ζ34+ζ38−ζ58−ζ2+ζ22−2ζ26+ζ34−2ζ14−ζ38+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58−2ζ2−ζ14+ζ34+ζ58ζ22−ζ26−2ζ38+ζ46ζ14−2ζ22−ζ34+ζ38ζ2+ζ26−ζ46−2ζ58000000000000000000000000000000
χ648-4-4−2−25−2+252-21+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ461−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ581−i151+i1501+521−521−1+i152−1−i152−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−2ζ14−ζ38+ζ46+ζ58−ζ2+ζ22−2ζ26+ζ34ζ26−2ζ34+ζ38−ζ58ζ2+ζ14−ζ22−2ζ46−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58ζ2+ζ26−ζ46−2ζ58ζ14−2ζ22−ζ34+ζ38ζ22−ζ26−2ζ38+ζ46−2ζ2−ζ14+ζ34+ζ58000000000000000000000000000000
χ658-4-4−2−25−2+252-21+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ461−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ581+i151−i1501+521−521−1−i152−1+i152ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ26−2ζ34+ζ38−ζ58ζ2+ζ14−ζ22−2ζ46−2ζ14−ζ38+ζ46+ζ58−ζ2+ζ22−2ζ26+ζ34ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ462ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58ζ22−ζ26−2ζ38+ζ46−2ζ2−ζ14+ζ34+ζ58ζ2+ζ26−ζ46−2ζ58ζ14−2ζ22−ζ34+ζ38000000000000000000000000000000
χ668-4-4−2+25−2−252-21−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ581+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ461−i151+i1501−521+521−1+i152−1−i152−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58ζ14−2ζ22−ζ34+ζ38ζ2+ζ26−ζ46−2ζ58−2ζ2−ζ14+ζ34+ζ58ζ22−ζ26−2ζ38+ζ46ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−2ζ14−ζ38+ζ46+ζ58−ζ2+ζ22−2ζ26+ζ34ζ26−2ζ34+ζ38−ζ58ζ2+ζ14−ζ22−2ζ46000000000000000000000000000000
χ678-4-4−2+25−2−252-21−51−54ζ2+4ζ22−2ζ38−2ζ58−2ζ2−2ζ22+4ζ38+4ζ581+51+54ζ14−2ζ26+4ζ34−2ζ46−2ζ14+4ζ26−2ζ34+4ζ461+i151−i1501−521+521−1−i152−1+i152ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ462ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58−2ζ2−ζ14+ζ34+ζ58ζ22−ζ26−2ζ38+ζ46ζ14−2ζ22−ζ34+ζ38ζ2+ζ26−ζ46−2ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ26−2ζ34+ζ38−ζ58ζ2+ζ14−ζ22−2ζ46−2ζ14−ζ38+ζ46+ζ58−ζ2+ζ22−2ζ26+ζ34000000000000000000000000000000
χ688-4-4−2+25−2−252-21−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ581+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ461−i151+i1501−521+521−1+i152−1−i152ζ2+ζ14−ζ26−ζ34+ζ46+ζ58−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58ζ2+ζ26−ζ46−2ζ58ζ14−2ζ22−ζ34+ζ38ζ22−ζ26−2ζ38+ζ46−2ζ2−ζ14+ζ34+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58ζ2−ζ22+ζ26+ζ34−ζ38+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58−ζ2+ζ22−2ζ26+ζ34−2ζ14−ζ38+ζ46+ζ58ζ2+ζ14−ζ22−2ζ46ζ26−2ζ34+ζ38−ζ58000000000000000000000000000000
χ698-4-4−2+25−2−252-21−51−5−2ζ2−2ζ22+4ζ38+4ζ584ζ2+4ζ22−2ζ38−2ζ581+51+5−2ζ14+4ζ26−2ζ34+4ζ464ζ14−2ζ26+4ζ34−2ζ461+i151−i1501−521+521−1−i152−1+i152−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46ζ2+ζ14−ζ26−ζ34+ζ46+ζ582ζ2+ζ14−ζ22+ζ26−ζ34+2ζ38−ζ46−ζ58−ζ2−ζ14+2ζ22−ζ26+ζ34−ζ38+ζ46+2ζ58ζ22−ζ26−2ζ38+ζ46−2ζ2−ζ14+ζ34+ζ58ζ2+ζ26−ζ46−2ζ58ζ14−2ζ22−ζ34+ζ38ζ2−ζ22+ζ26+ζ34−ζ38+ζ58−ζ2+ζ14+ζ22+ζ38+ζ46−ζ58−ζ2−ζ14+ζ22−ζ26+2ζ34−ζ38+2ζ46+ζ58ζ2+2ζ14−ζ22+2ζ26−ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−2ζ46ζ26−2ζ34+ζ38−ζ58−ζ2+ζ22−2ζ26+ζ34−2ζ14−ζ38+ζ46+ζ58000000000000000000000000000000

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