Finite Group Databasebeta

← Group #64472

Character table — Group #64472

Order 300.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1333333332525133333333252513333333325251333333332525
order155555555334202020202020202012122101010101010101066420202020202020201212
χ111111111111111111111111111111111111111111111
χ2111111111−1+i32−1−i32111111111−1+i32−1−i32111111111−1+i32−1−i32111111111−1+i32−1−i32
χ3111111111−1−i32−1+i32111111111−1−i32−1+i32111111111−1−i32−1+i32111111111−1−i32−1+i32
χ43ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ46003ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ46003ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ46003ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ4600
χ531−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+520031−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+520031−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+520031−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+5200
χ631−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+520031−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+520031−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+520031−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+5200
χ73ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ34003ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ34003ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ34003ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ3400
χ831+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−520031+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−520031+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−520031+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−5200
χ931+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−520031+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−520031+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−520031+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−5200
χ1032ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ580032ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ580032ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ580032ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ5800
χ1132ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ580032ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ580032ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ580032ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ5800
χ1211111111111iiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i
χ13111111111−1+i32−1−i32iiiiiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43-1-1-1-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43
χ14111111111−1−i32−1+i32iiiiiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59-1-1-1-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59
χ153ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ46003i−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43−2ζ7−ζ11−ζ31−2ζ4700-3−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−2ζ2−2ζ22−ζ26−ζ4600−3iζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ432ζ7+ζ11+ζ31+2ζ4700
χ1631−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+52003iζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900-3−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−1−5200−3i−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ592ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ592ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900
χ1731−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+52003iζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900-3−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−1−5200−3i−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47ζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ43ζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900
χ183ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ34003i−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47−ζ7−2ζ19−ζ47−2ζ5900-3−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ2−2ζ14−ζ22−2ζ3400−3iζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47ζ7+2ζ19+ζ47+2ζ5900
χ1931+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−52003iζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700-3−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−1+5200−3i−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ592ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47ζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700
χ2031+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−52003iζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700-3−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−1+5200−3i−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ43ζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ592ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700
χ2132ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ58003i−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59−ζ19−2ζ23−2ζ43−ζ5900-3−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−ζ14−ζ34−2ζ38−2ζ5800−3i2ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ59ζ19+2ζ23+2ζ43+ζ5900
χ2232ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ58003i−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59−2ζ11−ζ23−2ζ31−ζ4300-3−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ26−ζ38−2ζ46−ζ5800−3i2ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ592ζ11+ζ23+2ζ31+ζ4300
χ2311111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1
χ24111111111−1+i32−1−i32-1-1-1-1-1-1-1-1-11−i321+i32111111111−1+i32−1−i32-1-1-1-1-1-1-1-1-11−i321+i32
χ25111111111−1−i32−1+i32-1-1-1-1-1-1-1-1-11+i321−i32111111111−1−i32−1+i32-1-1-1-1-1-1-1-1-11+i321−i32
χ263ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ4600-3−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−2ζ2−2ζ22−ζ26−ζ46003ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ4600-3−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−2ζ2−2ζ22−ζ26−ζ4600
χ2731−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+5200-3−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−1−520031−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+5200-3−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−1−5200
χ2831−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+5200-3−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−1−520031−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+5200-3−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−1−5200
χ293ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ3400-3−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ2−2ζ14−ζ22−2ζ34003ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ3400-3−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ2−2ζ14−ζ22−2ζ3400
χ3031+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−5200-3−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−1+520031+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−5200-3−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−1+5200
χ3131+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−5200-3−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−1+520031+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−5200-3−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−1+5200
χ3232ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ5800-3−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−ζ14−ζ34−2ζ38−2ζ580032ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ5800-3−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−ζ14−ζ34−2ζ38−2ζ5800
χ3332ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ5800-3−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ26−ζ38−2ζ46−ζ580032ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ5800-3−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ26−ζ38−2ζ46−ζ5800
χ3411111111111−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiii
χ35111111111−1+i32−1−i32−i−i−i−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43-1-1-1-1-1-1-1-1-11−i321+i32iiiiiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43
χ36111111111−1−i32−1+i32−i−i−i−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59-1-1-1-1-1-1-1-1-11+i321−i32iiiiiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59
χ373ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ582ζ2+2ζ22+ζ26+ζ4600−3iζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ432ζ7+ζ11+ζ31+2ζ4700-3−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−2ζ2−2ζ22−ζ26−ζ46003i−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43−2ζ7−ζ11−ζ31−2ζ4700
χ3831−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−521+5200−3i−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ592ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ592ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900-3−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−1−52003iζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900
χ3931−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−521+5200−3i−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47ζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ43ζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900-3−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−1−52003iζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900
χ403ζ14+ζ34+2ζ38+2ζ581+521+522ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ46ζ2+2ζ14+ζ22+2ζ3400−3iζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47ζ7+2ζ19+ζ47+2ζ5900-3−ζ14−ζ34−2ζ38−2ζ58−1−52−1−52−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ2−2ζ14−ζ22−2ζ34003i−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47−ζ7−2ζ19−ζ47−2ζ5900
χ4131+52ζ2+2ζ14+ζ22+2ζ342ζ26+ζ38+2ζ46+ζ581−522ζ2+2ζ22+ζ26+ζ46ζ14+ζ34+2ζ38+2ζ581+521−5200−3i−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ592ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47ζ19+2ζ23+2ζ43+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700-3−1−52−ζ2−2ζ14−ζ22−2ζ34−2ζ26−ζ38−2ζ46−ζ58−1+52−2ζ2−2ζ22−ζ26−ζ46−ζ14−ζ34−2ζ38−2ζ58−1−52−1+52003iζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47−ζ19−2ζ23−2ζ43−ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700
χ4231+522ζ26+ζ38+2ζ46+ζ58ζ2+2ζ14+ζ22+2ζ341−52ζ14+ζ34+2ζ38+2ζ582ζ2+2ζ22+ζ26+ζ461+521−5200−3i−ζ11−ζ19−ζ31−ζ592ζ11+ζ23+2ζ31+ζ43ζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ592ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700-3−1−52−2ζ26−ζ38−2ζ46−ζ58−ζ2−2ζ14−ζ22−2ζ34−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ2−2ζ22−ζ26−ζ46−1−52−1+52003iζ11+ζ19+ζ31+ζ59−2ζ11−ζ23−2ζ31−ζ43−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700
χ4332ζ26+ζ38+2ζ46+ζ581−521−522ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ34ζ14+ζ34+2ζ38+2ζ5800−3i2ζ11+ζ23+2ζ31+ζ43−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ472ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ59ζ19+2ζ23+2ζ43+ζ5900-3−2ζ26−ζ38−2ζ46−ζ58−1+52−1+52−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−ζ14−ζ34−2ζ38−2ζ58003i−2ζ11−ζ23−2ζ31−ζ43ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59−ζ19−2ζ23−2ζ43−ζ5900
χ4432ζ2+2ζ22+ζ26+ζ461+521+52ζ2+2ζ14+ζ22+2ζ341−521−52ζ14+ζ34+2ζ38+2ζ582ζ26+ζ38+2ζ46+ζ5800−3i2ζ7+ζ11+ζ31+2ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+2ζ19+ζ47+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ19+2ζ23+2ζ43+ζ592ζ11+ζ23+2ζ31+ζ4300-3−2ζ2−2ζ22−ζ26−ζ46−1−52−1−52−ζ2−2ζ14−ζ22−2ζ34−1+52−1+52−ζ14−ζ34−2ζ38−2ζ58−2ζ26−ζ38−2ζ46−ζ58003i−2ζ7−ζ11−ζ31−2ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−2ζ19−ζ47−2ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ19−2ζ23−2ζ43−ζ59−2ζ11−ζ23−2ζ31−ζ4300

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