Finite Group Databasebeta

← Group #13089025

Character table — Group #13089025

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222222334444444444666666666668888101010121212121212121212181818181820202030303030609011222222223344444444446666666666688881010101212121212121212121818181818202020303030306090
order12335566101044361515151530303030412122020202020202020151530302661260606060606060602101010106662412126422661010661010446630303030303030304121220202020202020203030303026612606060606060606021010101066624121264
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
χ31111111111111111111111-1111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1111-1111-1-11111111111111111111111-1111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1111-1111-1-1
χ41111111111111111111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111111111111111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111
χ51111111111-1-111111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11111-1-1-11-11111111111-1-111111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11111-1-1-11-1
χ61111111111-1-111111111111-1-1-1-1-1-111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111111111111-1-111111111111-1-1-1-1-1-111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11
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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52000-2−1−52−1−52−1+52−1+521+521+521−521−52-21+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+52-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52000-2−1−52−1−52−1+52−1+521+521+521−521−52-21+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+522-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200021+521+521−521−52−1−52−1−52−1+52−1+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+522-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200021+521+521−521−52−1−52−1−52−1+52−1+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+52-2-2-21+521+521−521−521+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+52-2-2-21+521+521−521−521+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+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52000-2−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52000-2−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200021−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+520000000002222−1+52−1−5222−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200021−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+52000000000
χ162222−1+52−1−5222−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+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+52−1−52−1−52-2-2-21−521−521+521+521−521−521+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
χ17222-122-122200-1-12-12-12-12-120000002222-1-1-1-1222-10000-1-1-1-100000-1-1-12000-10222-122-122200-1-12-12-12-12-120000002222-1-1-1-1222-10000-1-1-1-100000-1-1-12000-10
χ18222-122-122200-1-12-12-12-12-120000002222-1-1-1-1-2-2-2-10000-1-1-1-100000111-200010222-122-122200-1-12-12-12-12-120000002222-1-1-1-1-2-2-2-10000-1-1-1-100000111-200010
χ19222-122-122200-1-12-12-12-12-1-2000000-2-2-2-2-1-1-1-122210000111100000-1-1-1-200010222-122-122200-1-12-12-12-12-1-2000000-2-2-2-2-1-1-1-122210000111100000-1-1-1-200010
χ20222-122-122200-1-12-12-12-12-1-2000000-2-2-2-2-1-1-1-1-2-2-2100001111000001112000-10222-122-122200-1-12-12-12-12-1-2000000-2-2-2-2-1-1-1-1-2-2-2100001111000001112000-10
χ2122-12222-12222-1-1-12-12-12-120-1-122220000-1-1-1-12-1-10-1-1-1-10000000002-1-102-1-10022-12222-12222-1-1-12-12-12-120-1-122220000-1-1-1-12-1-10-1-1-1-10000000002-1-102-1-100
χ2222-12222-12222-1-1-12-12-12-120-1-122220000-1-1-1-1-2110-1-1-1-1000000000-2110-2110022-12222-12222-1-1-12-12-12-120-1-122220000-1-1-1-1-2110-1-1-1-1000000000-2110-21100
χ2322-12222-122-2-2-1-1-12-12-12-12011-2-2-2-20000-1-1-1-12-1-1011110000000002-1-10-2110022-12222-122-2-2-1-1-12-12-12-12011-2-2-2-20000-1-1-1-12-1-1011110000000002-1-10-21100
χ2422-12222-122-2-2-1-1-12-12-12-12011-2-2-2-20000-1-1-1-1-21101111000000000-21102-1-10022-12222-122-2-2-1-1-12-12-12-12011-2-2-2-20000-1-1-1-1-21101111000000000-21102-1-100
χ252-22222-2-2-2-22i−2i2-22222-2-2-2-202i−2i2i−2i2i−2i000022-2-200002i−2i2i−2i0000000000000000002-22222-2-2-2-22i−2i2-22222-2-2-2-202i−2i2i−2i2i−2i000022-2-200002i−2i2i−2i000000000000000000
χ262-22222-2-2-2-2−2i2i2-22222-2-2-2-20−2i2i−2i2i−2i2i000022-2-20000−2i2i−2i2i0000000000000000002-22222-2-2-2-2−2i2i2-22222-2-2-2-20−2i2i−2i2i−2i2i000022-2-20000−2i2i−2i2i000000000000000000
χ272-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1−52−1+52−1+521+521+521−521−5202i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521−520000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000002-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1−52−1+52−1+521+521+521−521−5202i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521−520000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000
χ282-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1−52−1+52−1+521+521+521−521−5202i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521−520000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000002-222−1−52−1+52-2-21+521−522i−2i2-2−1−52−1−52−1+52−1+521+521+521−521−5202i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521−520000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000
χ292-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1−52−1+52−1+521+521+521−521−520−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521−520000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000002-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1−52−1+52−1+521+521+521−521−520−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521−520000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000
χ302-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1−52−1+52−1+521+521+521−521−520−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521−520000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000002-222−1−52−1+52-2-21+521−52−2i2i2-2−1−52−1−52−1+52−1+521+521+521−521−520−2i2iζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521−520000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000
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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+520−2i2iζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1−521−521+520000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000-22-2-21−521+5222−1+52−1−522i−2i-221−521−521+521+52−1+52−1+52−1−52−1−5202i−2i−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ591−521+52−1+52−1−520000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000
χ972-222−1+52−1−52-2-21−521+52−2i2i2-2−1+52−1+52−1−52−1−521−521−521+521+520−2i2iζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+52−1−521−521+520000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000000-22-2-21−521+5222−1+52−1−522i−2i-221−521−521+521+52−1+52−1+52−1−52−1−5202i−2i−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ591−521+52−1+52−1−520000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000000
χ982-2-1222-21-2-22i−2i-11-12-121-21-20−ii2i−2i2i−2i0000-1-1110−i3i30−ii−ii0000000000−i3i3003−300-221-2-2-22-122−2i2i1-11-21-2-12-120i−i−2i2i−2i2i000011-1-10i3−i30i−ii−i0000000000i3−i300−3300
χ992-2-1222-21-2-22i−2i-11-12-121-21-20−ii2i−2i2i−2i0000-1-1110i3−i30−ii−ii0000000000i3−i300−3300-221-2-2-22-122−2i2i1-11-21-2-12-120i−i−2i2i−2i2i000011-1-10−i3i30i−ii−i0000000000−i3i3003−300
χ1002-2-1222-21-2-2−2i2i-11-12-121-21-20i−i−2i2i−2i2i0000-1-1110−i3i30i−ii−i0000000000−i3i300−3300-221-2-2-22-1222i−2i1-11-21-2-12-120−ii2i−2i2i−2i000011-1-10i3−i30−ii−ii0000000000i3−i3003−300
χ1012-2-1222-21-2-2−2i2i-11-12-121-21-20i−i−2i2i−2i2i0000-1-1110i3−i30i−ii−i0000000000i3−i3003−300-221-2-2-22-1222i−2i1-11-21-2-12-120−ii2i−2i2i−2i000011-1-10−i3i30−ii−ii0000000000−i3i300−3300
χ102444-2−1−5−1+5-24−1−5−1+500-2-2−1−51+52−1+51−52−1−51+52−1+51−524000000−1−5−1−5−1+5−1+51+521−521+521−52000-200001+521+521−521−5200000000000000-4-4-421+51−52-41+51−500221+5−1−521−5−1+521+5−1−521−5−1+52-40000001+51+51−51−5−1−52−1+52−1−52−1+5200020000−1−52−1−52−1+52−1+5200000000000000
χ103444-2−1−5−1+5-24−1−5−1+500-2-2−1−51+52−1+51−52−1−51+52−1+51−52-40000001+51+51−51−51+521−521+521−5200020000−1−52−1−52−1+52−1+5200000000000000-4-4-421+51−52-41+51−500221+5−1−521−5−1+521+5−1−521−5−1+524000000−1−5−1−5−1+5−1+5−1−52−1+52−1−52−1+52000-200001+521+521−521−5200000000000000
χ104444-2−1+5−1−5-24−1+5−1−500-2-2−1+51−52−1−51+52−1+51−52−1−51+524000000−1+5−1+5−1−5−1−51−521+521−521+52000-200001−521−521+521+5200000000000000-4-4-421−51+52-41−51+500221−5−1+521+5−1−521−5−1+521+5−1−52-40000001−51−51+51+5−1+52−1−52−1+52−1−5200020000−1+52−1+52−1−52−1−5200000000000000
χ105444-2−1+5−1−5-24−1+5−1−500-2-2−1+51−52−1−51+52−1+51−52−1−51+52-40000001−51−51+51+51−521+521−521+5200020000−1+52−1+52−1−52−1−5200000000000000-4-4-421−51+52-41−51+500221−5−1+521+5−1−521−5−1+521+5−1−524000000−1+5−1+5−1−5−1−5−1+52−1−52−1+52−1−52000-200001−521−521+521+5200000000000000
χ10644-24−1−5−1+54-2−1−5−1+544-2-21+52−1−51−52−1+51+52−1−51−52−1+50-2-2−1−5−1−5−1+5−1+500001+521−521+521−5200001+521+521−521−52000000000000000000-4-42-41+51−5-421+51−5-4-422−1−521+5−1+521−5−1−521+5−1+521−50221+51+51−51−50000−1−52−1+52−1−52−1+520000−1−52−1−52−1+52−1+52000000000000000000
χ10744-24−1−5−1+54-2−1−5−1+5-4-4-2-21+52−1−51−52−1+51+52−1−51−52−1+50221+51+51−51−500001+521−521+521−520000−1−52−1−52−1+52−1+52000000000000000000-4-42-41+51−5-421+51−54422−1−521+5−1+521−5−1−521+5−1+521−50-2-2−1−5−1−5−1+5−1+50000−1−52−1+52−1−52−1+5200001+521+521−521−52000000000000000000
χ10844-24−1+5−1−54-2−1+5−1−544-2-21−52−1+51+52−1−51−52−1+51+52−1−50-2-2−1+5−1+5−1−5−1−500001−521+521−521+5200001−521−521+521+52000000000000000000-4-42-41−51+5-421−51+5-4-422−1+521−5−1−521+5−1+521−5−1−521+50221−51−51+51+50000−1+52−1−52−1+52−1−520000−1+52−1+52−1−52−1−52000000000000000000
χ10944-24−1+5−1−54-2−1+5−1−5-4-4-2-21−52−1+51+52−1−51−52−1+51+52−1−50221−51−51+51+500001−521+521−521+520000−1+52−1+52−1−52−1−52000000000000000000-4-42-41−51+5-421−51+54422−1+521−5−1−521+5−1+521−5−1−521+50-2-2−1+5−1+5−1−5−1−50000−1+52−1−52−1+52−1−5200001−521−521+521+52000000000000000000
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
χ1124-44-2442-4-4-400-224-24-2-42-4200000000000-2-22200000000000000000000000000-44-42-4-4-2444002-2-42-424-24-20000000000022-2-200000000000000000000000000
χ1134-44-2−1−5−1+52-41+51−500-22−1−51+52−1+51−521+5−1−521−5−1+520000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+521−52−1−52−1+5200000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000-44-421+51−5-24−1−5−1+5002-21+5−1−521−5−1+52−1−51+52−1+51−5200000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−52−1+521+521−5200000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
χ1144-44-2−1−5−1+52-41+51−500-22−1−51+52−1+51−521+5−1−521−5−1+5200000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+521−52−1−52−1+5200000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000-44-421+51−5-24−1−5−1+5002-21+5−1−521−5−1+52−1−51+52−1+51−520000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−52−1+521+521−5200000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
χ1154-44-2−1+5−1−52-41−51+500-22−1+51−52−1−51+521−5−1+521+5−1−5200000002ζ7−2ζ23−2ζ43+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−ζ5900000000000000-44-421−51+5-24−1+5−1−5002-21−5−1+521+5−1−52−1+51−52−1−51+520000000−2ζ7+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
χ1164-44-2−1+5−1−52-41−51+500-22−1+51−52−1−51+521−5−1+521+5−1−520000000−2ζ7+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+ζ5900000000000000-44-421−51+5-24−1+5−1−5002-21−5−1+521+5−1−52−1+51−52−1−51+5200000002ζ7−2ζ23−2ζ43+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
χ1174-4-24−1−5−1+5-421+51−54i−4i-221+52−1−51−52−1+5−1−521+5−1+521−50−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700001+521−52−1−52−1+520000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000-442-41+51−54-2−1−5−1+5−4i4i2-2−1−521+5−1+521−51+52−1−51−52−1+502i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−1−52−1+521+521−520000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000000000
χ1184-4-24−1−5−1+5-421+51−5−4i4i-221+52−1−51−52−1+5−1−521+5−1+521−502i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700001+521−52−1−52−1+520000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000000000000-442-41+51−54-2−1−5−1+54i−4i2-2−1−521+5−1+521−51+52−1−51−52−1+50−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000−1−52−1+521+521−520000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000
χ1194-4-24−1+5−1−5-421−51+54i−4i-221−52−1+51+52−1−5−1+521−5−1−521+50−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900001−521+52−1+52−1−520000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000-442-41−51+54-2−1+5−1−5−4i4i2-2−1+521−5−1−521+51−52−1+51+52−1−502i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−1+52−1−521−521+520000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000
χ1204-4-24−1+5−1−5-421−51+5−4i4i-221−52−1+51+52−1−5−1+521−5−1−521+502i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900001−521+52−1+52−1−520000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000000000000-442-41−51+54-2−1+5−1−54i−4i2-2−1+521−5−1−521+51−52−1+51+52−1−50−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000−1+52−1−521−521+520000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59000000000000000000
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.