Finite Group Databasebeta

← Group #14513965

Character table — Group #14513965

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222333366666666666612121212121212121212121212121212121232323232323232323232323232323232323232326060606060606060120120120120
order124455101020202020224422441010101020202020241010101010101010202020202020202036121215151515303030306060606060606060444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−ii−ii−i
χ411-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−ii
χ52222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ62222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+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+52000000000000
χ72222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-1-1-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58000000000000
χ82222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-1-1-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38000000000000
χ92222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ102222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-1-1-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34000000000000
χ112222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-1-1-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46000000000000
χ1222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-2-22-2-2-2-2-2-2-2-222222222-1-111-1-1-1-1-1-1-1-111111111000000000000
χ1322-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ1422-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-1-111−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58000000000000
χ1522-2-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-1-111−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38000000000000
χ1622-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ1722-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-1-111−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34000000000000
χ1822-2-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-1-111−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46000000000000
χ192-22i−2i22-2-22i−2i2i−2i2-22i−2i00002-22-22i−2i2i−2i000000000000000000-11i−i-1-1-1-11111i−ii−ii−ii−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000
χ202-22i−2i22-2-22i−2i2i−2i2-22i−2i00002-22-22i−2i2i−2i000000000000000000-11i−i-1-1-1-11111i−ii−ii−ii−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000
χ212-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00002-22-2−2i2i−2i2i000000000000000000-11−ii-1-1-1-11111−ii−ii−ii−ii1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000
χ222-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00002-22-2−2i2i−2i2i000000000000000000-11−ii-1-1-1-11111−ii−ii−ii−ii−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000
χ233333333333333333-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011111111-1-1-1-1
χ243333333333333333-1-1-1-133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1-1-11111
χ25333333333333-1-1-1-13-13-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-1000000000000000000001-11-11-11-111-1-1
χ26333333333333-1-1-1-13-13-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1-100000000000000000000-11-11-11-11-1-111
χ27333333333333-1-1-1-1-13-13-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-1000000000000000000001-11-11-11-1-1-111
χ28333333333333-1-1-1-1-13-13-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-13-1-100000000000000000000-11-11-11-1111-1-1
χ2933-3-33333-3-3-3-333-3-311-1-13333-3-3-3-31-111111111-1-1-1-1-1-1-1-100000000000000000000iiii−i−i−i−i−ii−ii
χ3033-3-33333-3-3-3-333-3-311-1-13333-3-3-3-31-111111111-1-1-1-1-1-1-1-100000000000000000000−i−i−i−iiiiii−ii−i
χ3133-3-33333-3-3-3-3-1-1111-3-13-1-1-1-111111-11-3111-311-13-1-1-13-1-100000000000000000000i−ii−i−ii−ii−iii−i
χ3233-3-33333-3-3-3-3-1-1111-3-13-1-1-1-111111-11-3111-311-13-1-1-13-1-100000000000000000000−ii−iii−ii−ii−i−ii
χ3333-3-33333-3-3-3-3-1-111-313-1-1-1-1-111111-1-3111-31113-1-1-13-1-1-100000000000000000000i−ii−i−ii−iii−i−ii
χ3433-3-33333-3-3-3-3-1-111-313-1-1-1-1-111111-1-3111-31113-1-1-13-1-1-100000000000000000000−ii−iii−ii−i−iii−i
χ354-44i−4i44-4-44i−4i4i−4i4-44i−4i00004-44-44i−4i4i−4i0000000000000000001-1−ii1111-1-1-1-1−ii−ii−ii−ii000000000000
χ364-44i−4i−1−5−1+51+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ474-44i−4i0000−1−51+5−1+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000001-1−iiζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ31+ζ59−ζ31−ζ59ζ11+ζ19−ζ11−ζ19ζ43+ζ47−ζ43−ζ47ζ7+ζ23−ζ7−ζ23000000000000
χ374-44i−4i−1−5−1+51+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ474-44i−4i0000−1−51+5−1+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000001-1−iiζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ11+ζ19−ζ11−ζ19ζ31+ζ59−ζ31−ζ59ζ7+ζ23−ζ7−ζ23ζ43+ζ47−ζ43−ζ47000000000000
χ384-44i−4i−1−5−1+51+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ474-44i−4i0000−1−51+5−1+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000
χ394-44i−4i−1+5−1−51−51+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ594-44i−4i0000−1+51−5−1−51+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000001-1−iiζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ7+ζ23−ζ7−ζ23ζ43+ζ47−ζ43−ζ47ζ31+ζ59−ζ31−ζ59ζ11+ζ19−ζ11−ζ19000000000000
χ404-44i−4i−1+5−1−51−51+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ594-44i−4i0000−1+51−5−1−51+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000001-1−iiζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ43+ζ47−ζ43−ζ47ζ7+ζ23−ζ7−ζ23ζ11+ζ19−ζ11−ζ19ζ31+ζ59−ζ31−ζ59000000000000
χ414-44i−4i−1+5−1−51−51+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ594-44i−4i0000−1+51−5−1−51+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000
χ424-4−4i4i44-4-4−4i4i−4i4i4-4−4i4i00004-44-4−4i4i−4i4i0000000000000000001-1i−i1111-1-1-1-1i−ii−ii−ii−i000000000000
χ434-4−4i4i−1−5−1+51+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ474-4−4i4i0000−1−51+5−1+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000001-1i−iζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ31−ζ59ζ31+ζ59−ζ11−ζ19ζ11+ζ19−ζ43−ζ47ζ43+ζ47−ζ7−ζ23ζ7+ζ23000000000000
χ444-4−4i4i−1−5−1+51+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ474-4−4i4i0000−1−51+5−1+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000001-1i−iζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ11−ζ19ζ11+ζ19−ζ31−ζ59ζ31+ζ59−ζ7−ζ23ζ7+ζ23−ζ43−ζ47ζ43+ζ47000000000000
χ454-4−4i4i−1−5−1+51+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ474-4−4i4i0000−1−51+5−1+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000
χ464-4−4i4i−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ594-4−4i4i0000−1+51−5−1−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000001-1i−iζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ7−ζ23ζ7+ζ23−ζ43−ζ47ζ43+ζ47−ζ31−ζ59ζ31+ζ59−ζ11−ζ19ζ11+ζ19000000000000
χ474-4−4i4i−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ594-4−4i4i0000−1+51−5−1−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000001-1i−iζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ43−ζ47ζ43+ζ47−ζ7−ζ23ζ7+ζ23−ζ11−ζ19ζ11+ζ19−ζ31−ζ59ζ31+ζ59000000000000
χ484-4−4i4i−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ594-4−4i4i0000−1+51−5−1−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000
χ49666666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ506666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3526666-2-2-2-2−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+352-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000000000000
χ516666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-26-26-21+521+521−521−521+521+521−521−52-2-2−3−3521+521+521+52−3+3521−521−521−52−3−3521+521+521+52−3+3521−521−521−5200000000000000000000000000000000
χ526666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-2-26-261+521+521−521−521+521+521−521−52-2-21+52−3−3521+521+521−52−3+3521−521−521+52−3−3521+521+521−52−3+3521−521−5200000000000000000000000000000000
χ536666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52221+521+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−521−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+521+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−521−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ5800000000000000000000000000000000
χ546666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−52221+521+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−521−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+521+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−521−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ5800000000000000000000000000000000
χ556666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3526666-2-2-2-2−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−352-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000000000000000
χ566666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2-2-26-26-21−521−521+521+521−521−521+521+52-2-2−3+3521−521−521−52−3−3521+521+521+52−3+3521−521−521−52−3−3521+521+521+5200000000000000000000000000000000
χ576666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2-2-2-26-261−521−521+521+521−521−521+521+52-2-21−52−3+3521−521−521+52−3−3521+521+521−52−3+3521−521−521+52−3−3521+521+5200000000000000000000000000000000
χ586666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52221−521−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+521+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−521−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+521+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ4600000000000000000000000000000000
χ596666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52221−521−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+521+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−521−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+521+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ4600000000000000000000000000000000
χ6066-6-66666-6-6-6-6-2-22222-2-2-2-2-2-22222-2222-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ6166-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−35266-6-622-2-2−3−352−3−352−3+352−3+3523+3523+3523−3523−3522-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000000000000000000
χ6266-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-22222-2-21+521+521−521−52−1−52−1−52−1+52−1+52-22−1−52−1−52−3ζ14+ζ26−3ζ34+ζ46ζ14−3ζ26+ζ34−3ζ46−1+52−1+52ζ2+ζ22−3ζ38−3ζ58−3ζ2−3ζ22+ζ38+ζ581+521+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−521−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ5800000000000000000000000000000000
χ6366-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-22222-2-21+521+521−521−52−1−52−1−52−1+52−1+52-22−1−52−1−52ζ14−3ζ26+ζ34−3ζ46−3ζ14+ζ26−3ζ34+ζ46−1+52−1+52−3ζ2−3ζ22+ζ38+ζ58ζ2+ζ22−3ζ38−3ζ581+521+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−521−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ5800000000000000000000000000000000
χ6466-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-2222-6-261+521+521−521−52−1−52−1−52−1+52−1+522-2−1−523+352−1−52−1−52−1+523−352−1+52−1+521+52−3−3521+521+521−52−3+3521−521−5200000000000000000000000000000000
χ6566-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-222-626-21+521+521−521−52−1−52−1−52−1+52−1+522-23+352−1−52−1−52−1−523−352−1+52−1+52−1+52−3−3521+521+521+52−3+3521−521−521−5200000000000000000000000000000000
χ6666-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+35266-6-622-2-2−3+352−3+352−3−352−3−3523−3523−3523+3523+3522-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000000000000000000000
χ6766-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-22222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-22−1+52−1+52ζ2+ζ22−3ζ38−3ζ58−3ζ2−3ζ22+ζ38+ζ58−1−52−1−52ζ14−3ζ26+ζ34−3ζ46−3ζ14+ζ26−3ζ34+ζ461−521−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+521+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ4600000000000000000000000000000000
χ6866-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-22222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-22−1+52−1+52−3ζ2−3ζ22+ζ38+ζ58ζ2+ζ22−3ζ38−3ζ58−1−52−1−52−3ζ14+ζ26−3ζ34+ζ46ζ14−3ζ26+ζ34−3ζ461−521−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+521+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ4600000000000000000000000000000000
χ6966-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-2222-6-261−521−521+521+52−1+52−1+52−1−52−1−522-2−1+523−352−1+52−1+52−1−523+352−1−52−1−521−52−3+3521−521−521+52−3−3521+521+5200000000000000000000000000000000
χ7066-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-222-626-21−521−521+521+52−1+52−1+52−1−52−1−522-23−352−1+52−1+52−1+523+352−1−52−1−52−1−52−3+3521−521−521−52−3−3521+521+521+5200000000000000000000000000000000
χ716-66i−6i66-6-66i−6i6i−6i-22−2i2i0000-22-22−2i2i−2i2i000000000000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ726-66i−6i66-6-66i−6i6i−6i-22−2i2i0000-22-22−2i2i−2i2i00000000000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ736-6−6i6i66-6-6−6i6i−6i6i-222i−2i0000-22-222i−2i2i−2i000000000000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ746-6−6i6i66-6-6−6i6i−6i6i-222i−2i0000-22-222i−2i2i−2i00000000000000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ7512-1212i−12i−3−35−3+353+353−35−6ζ11−6ζ19−6ζ31−6ζ596ζ11+6ζ19+6ζ31+6ζ59−6ζ7−6ζ23−6ζ43−6ζ476ζ7+6ζ23+6ζ43+6ζ47-44−4i4i00001+5−1−51−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000000000
χ7612-1212i−12i−3+35−3−353−353+35−6ζ7−6ζ23−6ζ43−6ζ476ζ7+6ζ23+6ζ43+6ζ47−6ζ11−6ζ19−6ζ31−6ζ596ζ11+6ζ19+6ζ31+6ζ59-44−4i4i00001−5−1+51+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000
χ7712-12−12i12i−3−35−3+353+353−356ζ11+6ζ19+6ζ31+6ζ59−6ζ11−6ζ19−6ζ31−6ζ596ζ7+6ζ23+6ζ43+6ζ47−6ζ7−6ζ23−6ζ43−6ζ47-444i−4i00001+5−1−51−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000
χ7812-12−12i12i−3+35−3−353−353+356ζ7+6ζ23+6ζ43+6ζ47−6ζ7−6ζ23−6ζ43−6ζ476ζ11+6ζ19+6ζ31+6ζ59−6ζ11−6ζ19−6ζ31−6ζ59-444i−4i00001−5−1+51+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000

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