Finite Group Databasebeta

← Group #13089024

Character table — Group #13089024

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222222334444444444666666666668888101010121212121212121212181818181820202030303030609011222222223344444444446666666666688881010101212121212121212121818181818202020303030306090
order12335566101044361515151530303030210101010121220202020151530302666303030306060606042020202066644121212222661010661010446630303030303030302101010101212202020203030303026663030303060606060420202020666441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-11111-111-1-11111111111111111111111-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-11111-111-1-1
χ41111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111
χ51111111111-1-1111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-11-1-11-11111111111-1-1111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-11-1-11-1
χ61111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-111-111111111111-1-1111111111111111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11
χ71111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11
χ81111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111-1
χ92222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520000000002222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52000000000
χ102222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000-21+521+521−521−52−1−52−1−52−1+52−1+52-21+521+521−521−520000000002222−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000-21+521+521−521−52−1−52−1−52−1+52−1+52-21+521+521−521−52000000000
χ112222−1−52−1+5222−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+520002−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−520000000002222−1−52−1+5222−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+520002−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52000000000
χ122222−1−52−1+5222−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+52000-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+520000000002222−1−52−1+5222−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+52000-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52000000000
χ132222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520000000002222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52000000000
χ142222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000-21−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+520000000002222−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000-21−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+52000000000
χ152222−1+52−1−5222−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−520002−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+520000000002222−1+52−1−5222−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−520002−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52000000000
χ162222−1+52−1−5222−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−52000-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−520000000002222−1+52−1−5222−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−52000-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52000000000
χ17222-122-122200-1-122-1-1-1-12222222000000-1-1-1-1222-1-1-1-1-1000000000-1-1-10200-10222-122-122200-1-122-1-1-1-12222222000000-1-1-1-1222-1-1-1-1-1000000000-1-1-10200-10
χ18222-122-122200-1-122-1-1-1-12222222000000-1-1-1-1-2-2-2-1-1-1-1-10000000001110-20010222-122-122200-1-122-1-1-1-12222222000000-1-1-1-1-2-2-2-1-1-1-1-10000000001110-20010
χ19222-122-122200-1-122-1-1-1-122-2-2-2-2-2000000-1-1-1-122211111000000000-1-1-10-20010222-122-122200-1-122-1-1-1-122-2-2-2-2-2000000-1-1-1-122211111000000000-1-1-10-20010
χ20222-122-122200-1-122-1-1-1-122-2-2-2-2-2000000-1-1-1-1-2-2-2111110000000001110200-10222-122-122200-1-122-1-1-1-122-2-2-2-2-2000000-1-1-1-1-2-2-2111110000000001110200-10
χ2122-12222-12222-1-1-1-12222-1-100000-1-12222-1-1-1-12-1-100000-1-1-1-1000002-1-120-1-10022-12222-12222-1-1-1-12222-1-100000-1-12222-1-1-1-12-1-100000-1-1-1-1000002-1-120-1-100
χ2222-12222-12222-1-1-1-12222-1-100000-1-12222-1-1-1-1-21100000-1-1-1-100000-211-20110022-12222-12222-1-1-1-12222-1-100000-1-12222-1-1-1-1-21100000-1-1-1-100000-211-201100
χ2322-12222-122-2-2-1-1-1-12222-1-10000011-2-2-2-2-1-1-1-12-1-1000001111000002-1-1-20110022-12222-122-2-2-1-1-1-12222-1-10000011-2-2-2-2-1-1-1-12-1-1000001111000002-1-1-201100
χ2422-12222-122-2-2-1-1-1-12222-1-10000011-2-2-2-2-1-1-1-1-21100000111100000-21120-1-10022-12222-122-2-2-1-1-1-12222-1-10000011-2-2-2-2-1-1-1-1-21100000111100000-21120-1-100
χ252-22222-2-2-2-22i−2i2-22222-2-2-2-2000002i−2i2i−2i2i−2i22-2-2000000002i−2i2i−2i000000000000002-22222-2-2-2-22i−2i2-22222-2-2-2-2000002i−2i2i−2i2i−2i22-2-2000000002i−2i2i−2i00000000000000
χ262-22222-2-2-2-2−2i2i2-22222-2-2-2-200000−2i2i−2i2i−2i2i22-2-200000000−2i2i−2i2i000000000000002-22222-2-2-2-2−2i2i2-22222-2-2-2-200000−2i2i−2i2i−2i2i22-2-200000000−2i2i−2i2i00000000000000
χ272-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1+52−1−52−1+521+521−521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000002-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1+52−1−52−1+521+521−521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ282-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1+52−1−52−1+521+521−521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000002-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1+52−1−52−1+521+521−521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ292-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1+52−1−52−1+521+521−521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000002-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1+52−1−52−1+521+521−521+521−520−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ302-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1+52−1−52−1+521+521−521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000002-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1+52−1−52−1+521+521−521+521−520ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
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χ962-222−1+52−1−52-2-21−521+52−2i2i2-2−1+52−1−52−1+52−1−521−521+521−521+520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2i2iζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000-22-2-21−521+5222−1+52−1−522i−2i-221−521+521−521+52−1+52−1−52−1+52−1−520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462i−2i−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−521+52−1+52−1−520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000
χ972-222−1+52−1−52-2-21−521+52−2i2i2-2−1+52−1−52−1+52−1−521−521+521−521+520−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−2i2iζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000-22-2-21−521+5222−1+52−1−522i−2i-221−521+521−521+52−1+52−1−52−1+52−1−520ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ462i−2i−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−521+52−1+52−1−520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000
χ982-2-1222-21-2-22i−2i-11-1-122-2-21100000−ii2i−2i2i−2i-1-1110−i3i300000−ii−ii000000−i3i3003−300-221-2-2-22-122−2i2i1-111-2-222-1-100000i−i−2i2i−2i2i11-1-10i3−i300000i−ii−i000000i3−i300−3300
χ992-2-1222-21-2-22i−2i-11-1-122-2-21100000−ii2i−2i2i−2i-1-1110i3−i300000−ii−ii000000i3−i300−3300-221-2-2-22-122−2i2i1-111-2-222-1-100000i−i−2i2i−2i2i11-1-10−i3i300000i−ii−i000000−i3i3003−300
χ1002-2-1222-21-2-2−2i2i-11-1-122-2-21100000i−i−2i2i−2i2i-1-1110−i3i300000i−ii−i000000−i3i300−3300-221-2-2-22-1222i−2i1-111-2-222-1-100000−ii2i−2i2i−2i11-1-10i3−i300000−ii−ii000000i3−i3003−300
χ1012-2-1222-21-2-2−2i2i-11-1-122-2-21100000i−i−2i2i−2i2i-1-1110i3−i300000i−ii−i000000i3−i3003−300-221-2-2-22-1222i−2i1-111-2-222-1-100000−ii2i−2i2i−2i11-1-10−i3i300000−ii−ii000000−i3i300−3300
χ102444-2−1−5−1+5-24−1−5−1+500-2-2−1−5−1+51+521−521+521−52−1−5−1+54−1−5−1−5−1+5−1+50000001+521−521+521−52000-21+521+521−521−52000000000000000000-4-4-421+51−52-41+51−500221+51−5−1−52−1+52−1−52−1+521+51−5-41+51+51−51−5000000−1−52−1+52−1−52−1+520002−1−52−1−52−1+52−1+52000000000000000000
χ103444-2−1−5−1+5-24−1−5−1+500-2-2−1−5−1+51+521−521+521−52−1−5−1+5-41+51+51−51−50000001+521−521+521−520002−1−52−1−52−1+52−1+52000000000000000000-4-4-421+51−52-41+51−500221+51−5−1−52−1+52−1−52−1+521+51−54−1−5−1−5−1+5−1+5000000−1−52−1+52−1−52−1+52000-21+521+521−521−52000000000000000000
χ104444-2−1+5−1−5-24−1+5−1−500-2-2−1+5−1−51−521+521−521+52−1+5−1−54−1+5−1+5−1−5−1−50000001−521+521−521+52000-21−521−521+521+52000000000000000000-4-4-421−51+52-41−51+500221−51+5−1+52−1−52−1+52−1−521−51+5-41−51−51+51+5000000−1+52−1−52−1+52−1−520002−1+52−1+52−1−52−1−52000000000000000000
χ105444-2−1+5−1−5-24−1+5−1−500-2-2−1+5−1−51−521+521−521+52−1+5−1−5-41−51−51+51+50000001−521+521−521+520002−1+52−1+52−1−52−1−52000000000000000000-4-4-421−51+52-41−51+500221−51+5−1+52−1−52−1+52−1−521−51+54−1+5−1+5−1−5−1−5000000−1+52−1−52−1+52−1−52000-21−521−521+521+52000000000000000000
χ10644-24−1−5−1+54-2−1−5−1+544-2-21+521−52−1−5−1+5−1−5−1+51+521−5200000-2-2−1−5−1−5−1+5−1+51+521−521+521−52000000001+521+521−521−5200000000000000-4-42-41+51−5-421+51−5-4-422−1−52−1+521+51−51+51−5−1−52−1+5200000221+51+51−51−5−1−52−1+52−1−52−1+5200000000−1−52−1−52−1+52−1+5200000000000000
χ10744-24−1−5−1+54-2−1−5−1+5-4-4-2-21+521−52−1−5−1+5−1−5−1+51+521−5200000221+51+51−51−51+521−521+521−5200000000−1−52−1−52−1+52−1+5200000000000000-4-42-41+51−5-421+51−54422−1−52−1+521+51−51+51−5−1−52−1+5200000-2-2−1−5−1−5−1+5−1+5−1−52−1+52−1−52−1+52000000001+521+521−521−5200000000000000
χ10844-24−1+5−1−54-2−1+5−1−544-2-21−521+52−1+5−1−5−1+5−1−51−521+5200000-2-2−1+5−1+5−1−5−1−51−521+521−521+52000000001−521−521+521+5200000000000000-4-42-41−51+5-421−51+5-4-422−1+52−1−521−51+51−51+5−1+52−1−5200000221−51−51+51+5−1+52−1−52−1+52−1−5200000000−1+52−1+52−1−52−1−5200000000000000
χ10944-24−1+5−1−54-2−1+5−1−5-4-4-2-21−521+52−1+5−1−5−1+5−1−51−521+5200000221−51−51+51+51−521+521−521+5200000000−1+52−1+52−1−52−1−5200000000000000-4-42-41−51+5-421−51+54422−1+52−1−521−51+51−51+5−1+52−1−5200000-2-2−1+5−1+5−1−5−1−5−1+52−1−52−1+52−1−52000000001−521−521+521+5200000000000000
χ11044-2-244-2-2440011-2-2-2-2-2-2-2-20000000000011114-2-200000000000000-211000000-4-422-4-422-4-400-1-12222222200000000000-1-1-1-1-422000000000000002-1-1000000
χ11144-2-244-2-2440011-2-2-2-2-2-2-2-2000000000001111-422000000000000002-1-1000000-4-422-4-422-4-400-1-12222222200000000000-1-1-1-14-2-200000000000000-211000000
χ1124-44-2442-4-4-400-2244-2-222-4-400000000000-2-22200000000000000000000000000-44-42-4-4-2444002-2-4-422-2-2440000000000022-2-200000000000000000000000000
χ1134-44-2−1−5−1+52-41+51−500-22−1−5−1+51+521−52−1−52−1+521+51−50−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000001+521−52−1−52−1+520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000-44-421+51−5-24−1−5−1+5002-21+51−5−1−52−1+521+521−52−1−5−1+502ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000−1−52−1+521+521−520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000
χ1144-44-2−1−5−1+52-41+51−500-22−1−5−1+51+521−52−1−52−1+521+51−502ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000001+521−52−1−52−1+520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000-44-421+51−5-24−1−5−1+5002-21+51−5−1−52−1+521+521−52−1−5−1+50−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000−1−52−1+521+521−520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000
χ1154-44-2−1+5−1−52-41−51+500-22−1+5−1−51−521+52−1+52−1−521−51+502ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000001−521+52−1+52−1−520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000000-44-421−51+5-24−1+5−1−5002-21−51+5−1+52−1−521−521+52−1+5−1−50−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000−1+52−1−521−521+520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000000
χ1164-44-2−1+5−1−52-41−51+500-22−1+5−1−51−521+52−1+52−1−521−51+50−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000001−521+52−1+52−1−520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000000000000-44-421−51+5-24−1+5−1−5002-21−51+5−1+52−1−521−521+52−1+5−1−502ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000−1+52−1−521−521+520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000000000000
χ1174-4-24−1−5−1+5-421+51−54i−4i-221+521−52−1−5−1+51+51−5−1−52−1+5200000−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1+5200000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000-442-41+51−54-2−1−5−1+5−4i4i2-2−1−52−1+521+51−5−1−5−1+51+521−52000002i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−1−52−1+521+521−5200000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000
χ1184-4-24−1−5−1+5-421+51−5−4i4i-221+521−52−1−5−1+51+51−5−1−52−1+52000002i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1+5200000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000-442-41+51−54-2−1−5−1+54i−4i2-2−1−52−1+521+51−5−1−5−1+51+521−5200000−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1−52−1+521+521−5200000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000
χ1194-4-24−1+5−1−5-421−51+54i−4i-221−521+52−1+5−1−51−51+5−1+52−1−5200000−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1−5200000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000-442-41−51+54-2−1+5−1−5−4i4i2-2−1+52−1−521−51+5−1+5−1−51−521+52000002i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+52−1−521−521+5200000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000
χ1204-4-24−1+5−1−5-421−51+5−4i4i-221−521+52−1+5−1−51−51+5−1+52−1−52000002i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1−5200000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000-442-41−51+54-2−1+5−1−54i−4i2-2−1+52−1−521−51+5−1+5−1−51−521+5200000−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1+52−1−521−521+5200000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000
χ1214-4-2-24422-4-4001-1-2-2-2-222220000000000011-1-10−2i32i3000000000000000i3−i3000000-4422-4-4-2-24400-112222-2-2-2-200000000000-1-11102i3−2i3000000000000000−i3i3000000
χ1224-4-2-24422-4-4001-1-2-2-2-222220000000000011-1-102i3−2i3000000000000000−i3i3000000-4422-4-4-2-24400-112222-2-2-2-200000000000-1-1110−2i32i3000000000000000i3−i3000000
χ12388-4-4−2−25−2+25-4-4−2−25−2+2500221+51−51+51−51+51−51+51−500000000000−1−52−1+52−1−52−1+5200000000000000000000000000-8-8442+252−25442+252−2500-2-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5000000000001+521−521+521−5200000000000000000000000000
χ12488-4-4−2+25−2−25-4-4−2+25−2−2500221−51+51−51+51−51+51−51+500000000000−1+52−1−52−1+52−1−5200000000000000000000000000-8-8442−252+25442−252+2500-2-2−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5000000000001−521+521−521+5200000000000000000000000000
χ1258-8-4-4−2−25−2+25442+252−25002-21+51−51+51−5−1−5−1+5−1−5−1+500000000000−1−52−1+521+521−5200000000000000000000000000-88442+252−25-4-4−2−25−2+2500-22−1−5−1+5−1−5−1+51+51−51+51−5000000000001+521−52−1−52−1+5200000000000000000000000000
χ1268-8-4-4−2+25−2−25442−252+25002-21−51+51−51+5−1+5−1−5−1+5−1−500000000000−1+52−1−521−521+5200000000000000000000000000-88442−252+25-4-4−2+25−2−2500-22−1+5−1−5−1+5−1−51−51+51−51+5000000000001−521+52−1+52−1−5200000000000000000000000000

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