Finite Group Databasebeta

← Group #67133

Character table — Group #67133

Order 360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222224444666661010103011222222444466666101010301122222244446666610101030
order123556101015153030210101010412122363151563030151530306303030301212126363151563030151530306303030301212126
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ3111111111111-1-1-1-1-1111-1111111111111-1-1-1-1-1111-1111111111111-1-1-1-1-1111-1
χ4111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11
χ5222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000
χ6222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−520000222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−520000222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−520000
χ7222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000
χ8222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+520000222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+520000222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+520000
χ922-122-122-1-1-1-1000002-1-1022-122-122-1-1-1-1000002-1-1022-122-122-1-1-1-1000002-1-10
χ1022-122-122-1-1-1-100000-211022-122-122-1-1-1-100000-211022-122-122-1-1-1-100000-2110
χ112-2222-2-2-222-2-20000000002-2222-2-2-222-2-20000000002-2222-2-2-222-2-2000000000
χ122-22−1−52−1+52-21+521−52−1−52−1+521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800002-22−1−52−1+52-21+521−52−1−52−1+521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800002-22−1−52−1+52-21+521−52−1−52−1+521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ132-22−1−52−1+52-21+521−52−1−52−1+521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800002-22−1−52−1+52-21+521−52−1−52−1+521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800002-22−1−52−1+52-21+521−52−1−52−1+521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ142-22−1+52−1−52-21−521+52−1+52−1−521−521+520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600002-22−1+52−1−52-21−521+52−1+52−1−521−521+520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600002-22−1+52−1−52-21−521+52−1+52−1−521−521+520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ152-22−1+52−1−52-21−521+52−1+52−1−521−521+520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600002-22−1+52−1−52-21−521+52−1+52−1−521−521+520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600002-22−1+52−1−52-21−521+52−1+52−1−521−521+520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ162-2-1221-2-2-1-1110000003−302-2-1221-2-2-1-1110000003−302-2-1221-2-2-1-1110000003−30
χ172-2-1221-2-2-1-111000000−3302-2-1221-2-2-1-111000000−3302-2-1221-2-2-1-111000000−330
χ1844-2−1−5−1+5-2−1−5−1+51+521−521+521−5200000000044-2−1−5−1+5-2−1−5−1+51+521−521+521−5200000000044-2−1−5−1+5-2−1−5−1+51+521−521+521−52000000000
χ1944-2−1+5−1−5-2−1+5−1−51−521+521−521+5200000000044-2−1+5−1−5-2−1+5−1−51−521+521−521+5200000000044-2−1+5−1−5-2−1+5−1−51−521+521−521+52000000000
χ204-4-2−1−5−1+521+51−51+521−52−1−52−1+520000000004-4-2−1−5−1+521+51−51+521−52−1−52−1+520000000004-4-2−1−5−1+521+51−51+521−52−1−52−1+52000000000
χ214-4-2−1+5−1−521−51+51−521+52−1+52−1−520000000004-4-2−1+5−1−521−51+51−521+52−1+52−1−520000000004-4-2−1+5−1−521−51+51−521+52−1+52−1−52000000000
χ22111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2311111111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ24111111111111-1-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ25111111111111-1-1-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ26222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ380000−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ580000
χ27222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−520000−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ380000−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ580000
χ28222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ260000−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ460000
χ29222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+520000−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ260000−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ460000
χ3022-122-122-1-1-1-1000002-1-10−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i3200000−1+i31−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i3200000−1−i31+i321+i320
χ3122-122-122-1-1-1-100000-2110−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32000001−i3−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32000001+i3−1−i32−1−i320
χ322-2222-2-2-222-2-2000000000−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000
χ332-22−1−52−1+52-21+521−52−1−52−1+521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000−1+i31−i3−1+i3−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ380ζ14−ζ26−ζ14+ζ26−ζ2+ζ38ζ2−ζ380000−1−i31+i3−1−i3−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ580ζ34−ζ46−ζ34+ζ46−ζ22+ζ58ζ22−ζ580000
χ342-22−1−52−1+52-21+521−52−1−52−1+521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000−1+i31−i3−1+i3−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ380−ζ14+ζ26ζ14−ζ26ζ2−ζ38−ζ2+ζ380000−1−i31+i3−1−i3−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ580−ζ34+ζ46ζ34−ζ46ζ22−ζ58−ζ22+ζ580000
χ352-22−1+52−1−52-21−521+52−1+52−1−521−521+520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000−1+i31−i3−1+i3−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ260−ζ2+ζ38ζ2−ζ38−ζ14+ζ26ζ14−ζ260000−1−i31+i3−1−i3−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ460−ζ22+ζ58ζ22−ζ58−ζ34+ζ46ζ34−ζ460000
χ362-22−1+52−1−52-21−521+52−1+52−1−521−521+520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000−1+i31−i3−1+i3−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ260ζ2−ζ38−ζ2+ζ38ζ14−ζ26−ζ14+ζ260000−1−i31+i3−1−i3−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ460ζ22−ζ58−ζ22+ζ58ζ34−ζ46−ζ34+ζ460000
χ372-2-1221-2-2-1-1110000003−30−1+i31−i31−i32−1+i3−1+i3−1+i321−i31−i31−i321−i32−1+i32−1+i320000002ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ590−1−i31+i31+i32−1−i3−1−i3−1−i321+i31+i31+i321+i32−1−i32−1−i32000000−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ590
χ382-2-1221-2-2-1-111000000−330−1+i31−i31−i32−1+i3−1+i3−1+i321−i31−i31−i321−i32−1+i32−1+i32000000−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ590−1−i31+i31+i32−1−i3−1−i3−1−i321+i31+i31+i321+i32−1−i32−1−i32000000ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ590
χ3944-2−1−5−1+5-2−1−5−1+51+521−521+521−52000000000−2+2i3−2+2i31−i3−2ζ14−2ζ26−2ζ2−2ζ381−i3−2ζ14−2ζ26−2ζ2−2ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38000000000−2−2i3−2−2i31+i3−2ζ34−2ζ46−2ζ22−2ζ581+i3−2ζ34−2ζ46−2ζ22−2ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58000000000
χ4044-2−1+5−1−5-2−1+5−1−51−521+521−521+52000000000−2+2i3−2+2i31−i3−2ζ2−2ζ38−2ζ14−2ζ261−i3−2ζ2−2ζ38−2ζ14−2ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26000000000−2−2i3−2−2i31+i3−2ζ22−2ζ58−2ζ34−2ζ461+i3−2ζ22−2ζ58−2ζ34−2ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46000000000
χ414-4-2−1−5−1+521+51−51+521−52−1−52−1+52000000000−2+2i32−2i31−i3−2ζ14−2ζ26−2ζ2−2ζ38−1+i32ζ14+2ζ262ζ2+2ζ38ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38000000000−2−2i32+2i31+i3−2ζ34−2ζ46−2ζ22−2ζ58−1−i32ζ34+2ζ462ζ22+2ζ58ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58000000000
χ424-4-2−1+5−1−521−51+51−521+52−1+52−1−52000000000−2+2i32−2i31−i3−2ζ2−2ζ38−2ζ14−2ζ26−1+i32ζ2+2ζ382ζ14+2ζ26ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26000000000−2−2i32+2i31+i3−2ζ22−2ζ58−2ζ34−2ζ46−1−i32ζ22+2ζ582ζ34+2ζ46ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46000000000
χ43111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4411111111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ45111111111111-1-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ46111111111111-1-1-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32
χ47222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ580000−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ380000
χ48222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−520000−1−i3−1−i3−1−i3−ζ34−ζ46−ζ22−ζ58−1−i3−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ580000−1+i3−1+i3−1+i3−ζ14−ζ26−ζ2−ζ38−1+i3−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ380000
χ49222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ460000−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ260000
χ50222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+520000−1−i3−1−i3−1−i3−ζ22−ζ58−ζ34−ζ46−1−i3−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ460000−1+i3−1+i3−1+i3−ζ2−ζ38−ζ14−ζ26−1+i3−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ260000
χ5122-122-122-1-1-1-1000002-1-10−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i3200000−1−i31+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i3200000−1+i31−i321−i320
χ5222-122-122-1-1-1-100000-2110−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32000001+i3−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32000001−i3−1+i32−1+i320
χ532-2222-2-2-222-2-2000000000−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000
χ542-22−1−52−1+52-21+521−52−1−52−1+521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000−1−i31+i3−1−i3−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ580ζ34−ζ46−ζ34+ζ46−ζ22+ζ58ζ22−ζ580000−1+i31−i3−1+i3−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ380ζ14−ζ26−ζ14+ζ26−ζ2+ζ38ζ2−ζ380000
χ552-22−1−52−1+52-21+521−52−1−52−1+521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000−1−i31+i3−1−i3−ζ34−ζ46−ζ22−ζ581+i3ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58ζ34+ζ46ζ22+ζ580−ζ34+ζ46ζ34−ζ46ζ22−ζ58−ζ22+ζ580000−1+i31−i3−1+i3−ζ14−ζ26−ζ2−ζ381−i3ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38ζ14+ζ26ζ2+ζ380−ζ14+ζ26ζ14−ζ26ζ2−ζ38−ζ2+ζ380000
χ562-22−1+52−1−52-21−521+52−1+52−1−521−521+520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000−1−i31+i3−1−i3−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ460−ζ22+ζ58ζ22−ζ58−ζ34+ζ46ζ34−ζ460000−1+i31−i3−1+i3−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ260−ζ2+ζ38ζ2−ζ38−ζ14+ζ26ζ14−ζ260000
χ572-22−1+52−1−52-21−521+52−1+52−1−521−521+520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000−1−i31+i3−1−i3−ζ22−ζ58−ζ34−ζ461+i3ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46ζ22+ζ58ζ34+ζ460ζ22−ζ58−ζ22+ζ58ζ34−ζ46−ζ34+ζ460000−1+i31−i3−1+i3−ζ2−ζ38−ζ14−ζ261−i3ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26ζ2+ζ38ζ14+ζ260ζ2−ζ38−ζ2+ζ38ζ14−ζ26−ζ14+ζ260000
χ582-2-1221-2-2-1-1110000003−30−1−i31+i31+i32−1−i3−1−i3−1−i321+i31+i31+i321+i32−1−i32−1−i32000000−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ590−1+i31−i31−i32−1+i3−1+i3−1+i321−i31−i31−i321−i32−1+i32−1+i320000002ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ590
χ592-2-1221-2-2-1-111000000−330−1−i31+i31+i32−1−i3−1−i3−1−i321+i31+i31+i321+i32−1−i32−1−i32000000ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ590−1+i31−i31−i32−1+i3−1+i3−1+i321−i31−i31−i321−i32−1+i32−1+i32000000−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ590
χ6044-2−1−5−1+5-2−1−5−1+51+521−521+521−52000000000−2−2i3−2−2i31+i3−2ζ34−2ζ46−2ζ22−2ζ581+i3−2ζ34−2ζ46−2ζ22−2ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58000000000−2+2i3−2+2i31−i3−2ζ14−2ζ26−2ζ2−2ζ381−i3−2ζ14−2ζ26−2ζ2−2ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38000000000
χ6144-2−1+5−1−5-2−1+5−1−51−521+521−521+52000000000−2−2i3−2−2i31+i3−2ζ22−2ζ58−2ζ34−2ζ461+i3−2ζ22−2ζ58−2ζ34−2ζ46ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46000000000−2+2i3−2+2i31−i3−2ζ2−2ζ38−2ζ14−2ζ261−i3−2ζ2−2ζ38−2ζ14−2ζ26ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26000000000
χ624-4-2−1−5−1+521+51−51+521−52−1−52−1+52000000000−2−2i32+2i31+i3−2ζ34−2ζ46−2ζ22−2ζ58−1−i32ζ34+2ζ462ζ22+2ζ58ζ34+ζ46ζ22+ζ58−ζ34−ζ46−ζ22−ζ58000000000−2+2i32−2i31−i3−2ζ14−2ζ26−2ζ2−2ζ38−1+i32ζ14+2ζ262ζ2+2ζ38ζ14+ζ26ζ2+ζ38−ζ14−ζ26−ζ2−ζ38000000000
χ634-4-2−1+5−1−521−51+51−521+52−1+52−1−52000000000−2−2i32+2i31+i3−2ζ22−2ζ58−2ζ34−2ζ46−1−i32ζ22+2ζ582ζ34+2ζ46ζ22+ζ58ζ34+ζ46−ζ22−ζ58−ζ34−ζ46000000000−2+2i32−2i31−i3−2ζ2−2ζ38−2ζ14−2ζ26−1+i32ζ2+2ζ382ζ14+2ζ26ζ2+ζ38ζ14+ζ26−ζ2−ζ38−ζ14−ζ26000000000

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