Finite Group Databasebeta

← Group #13086181

Character table — Group #13086181

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444444668888888812121212121212121212121212121212121212121212121212121212122020202020202020203030363636363660606060609090
order122233556666661010101010103666151515153030303030303030303030304415153030303030302661010101012122020202030303030303030306060606060606060412121212121212124442020202041212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ71111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222−1−52−1+52222222−1−52−1+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+5222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+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+52−1+52−1+52−1+52000000000002−1−52−1−52−1+52−1+520000000
χ10222222−1−52−1+52222222−1−52−1+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+5222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000-21+521+521−521−520000000
χ11222222−1−52−1+52222222−1−52−1+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+52-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000-21+521+521−521−520000000
χ12222222−1−52−1+52222222−1−52−1+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+52-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-21+521+521−521−52-2-21+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000002−1−52−1−52−1+52−1+520000000
χ13222222−1+52−1−52222222−1+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+52−1−5222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−52000000000002−1+52−1+52−1−52−1−520000000
χ14222222−1+52−1−52222222−1+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+52−1−5222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000-21−521−521+521+520000000
χ15222222−1+52−1−52222222−1+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+52−1−52-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000-21−521−521+521+520000000
χ16222222−1+52−1−52222222−1+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+52−1−52-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-21−521−521+521+52-2-21−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000002−1+52−1+52−1−52−1−520000000
χ1722222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-12200-1-1-1-1-1-1-1-12-1-12222000000-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-12200000000-1-100
χ1822222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-12200-1-1-1-1-1-1-1-12-1-12222000000-1-1-1-1-1-1-1-100000000-211-2-21111-2-2000000001100
χ1922222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-12200-1-1-1-1-1-1-1-1-211-2-2-2-200000011111111000000002-1-122-1-1-1-1-2-2000000001100
χ2022222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-12200-1-1-1-1-1-1-1-1-211-2-2-2-20000001111111100000000-211-2-211112200000000-1-100
χ212222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-10000000-1-1222200000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000002-1-10000
χ222222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-10000000-1-1222200000000-1-1-1-1-1-1-1-1-2-2-21111110000000-2110000
χ232222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-2-1-1-1-1-1-1-1-1000000011-2-2-2-20000000011111111222-1-1-1-1-1-10000000-2110000
χ242222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-2-1-1-1-1-1-1-1-1000000011-2-2-2-20000000011111111-2-2-211111100000002-1-10000
χ2522-2-22222-2-222-2-2-2-222-2-22-2-222222-2-2-2-22-2-22-2-22200222-2-22-2-2000000000000000000000000000000000000000000000000002i−2i
χ2622-2-22222-2-222-2-2-2-222-2-22-2-222222-2-2-2-22-2-22-2-22200222-2-22-2-200000000000000000000000000000000000000000000000000−2i2i
χ272-22-22222-2-2-2-22222-2-2-2-222-2-222222-22-2-22-2-22-2-2-22i−2i22-22-2-22-200000002i−2i2i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000
χ282-22-22222-2-2-2-22222-2-2-2-222-2-222222-22-2-22-2-22-2-2-2−2i2i22-22-2-22-20000000−2i2i−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000
χ292-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−521+52−1+521−521+52−1−521+521−52−1+521−521+521−522i−2i−1−52−1+521+52−1−521+521−52−1+521−52000−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−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000
χ302-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−521+52−1+521−521+52−1−521+521−52−1+521−521+521−522i−2i−1−52−1+521+52−1−521+521−52−1+521−52000ζ14−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+ζ47ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000
χ312-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−521+52−1+521−521+52−1−521+521−52−1+521−521+521−52−2i2i−1−52−1+521+52−1−521+521−52−1+521−52000−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−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000
χ322-22-222−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−521+52−1+521−521+52−1−521+521−52−1+521−521+521−52−2i2i−1−52−1+521+52−1−521+521−52−1+521−52000ζ14−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−ζ47ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000
χ332-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+521−52−1−521+521−52−1+521−521+52−1−521+521−521+522i−2i−1+52−1−521−52−1+521−521+52−1−521+52000ζ2+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+ζ59ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000
χ342-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+521−52−1−521+521−52−1+521−521+52−1−521+521−521+522i−2i−1+52−1−521−52−1+521−521+52−1−521+52000−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+ζ59−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000
χ352-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+521−52−1−521+521−52−1+521−521+52−1−521+521−521+52−2i2i−1+52−1−521−52−1+521−521+52−1−521+52000ζ2+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−ζ59ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000000
χ362-22-222−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+521−52−1−521+521−52−1+521−521+52−1−521+521−521+52−2i2i−1+52−1−521−52−1+521−521+52−1−521+52000−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−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000
χ372-22-2-12221-2-21-1222-2-2-2-2-1-111-1-122-11-11-22-2-22-2112i−2i-1-11-111-110000000−ii2i−2i2i−2i00000000−i−iii−i−iii0003−333−3−300000000−i3i30000
χ382-22-2-12221-2-21-1222-2-2-2-2-1-111-1-122-11-11-22-2-22-2112i−2i-1-11-111-110000000−ii2i−2i2i−2i00000000−i−iii−i−iii000−33−3−33300000000i3−i30000
χ392-22-2-12221-2-21-1222-2-2-2-2-1-111-1-122-11-11-22-2-22-211−2i2i-1-11-111-110000000i−i−2i2i−2i2i00000000ii−i−iii−i−i0003−333−3−300000000i3−i30000
χ402-22-2-12221-2-21-1222-2-2-2-2-1-111-1-122-11-11-22-2-22-211−2i2i-1-11-111-110000000i−i−2i2i−2i2i00000000ii−i−iii−i−i000−33−3−33300000000−i3i30000
χ412-2-22222222-2-2-2-2-2-2-2-2222-22-22222-22-22-2-22-2-22-2-20022-2-22-2-22000000000000000000000000000000000000002i−2i000000002i−2i00
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χ894-4-44-24−1−5−1+5-24-422-41+51−51+51−5−1−5−1+5-22-221+521−52−1−5−1+5−1−521+52−1+521−521+51+5−1−51−51−5−1+5−1−52−1+52001+521−52−1−52−1−521+52−1+52−1+521−52000000000000000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000
χ904-4-44-24−1−5−1+5-24-422-41+51−51+51−5−1−5−1+5-22-221+521−52−1−5−1+5−1−521+52−1+521−521+51+5−1−51−51−5−1+5−1−52−1+52001+521−52−1−52−1−521+52−1+52−1+521−52000000000000000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000
χ914-4-44-24−1+5−1−5-24-422-41−51+51−51+5−1+5−1−5-22-221−521+52−1+5−1−5−1+521−52−1−521+521−51−5−1+51+51+5−1−5−1+52−1−52001−521+52−1+52−1+521−52−1−52−1−521+52000000000000000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000
χ924-4-44-24−1+5−1−5-24-422-41−51+51−51+5−1+5−1−5-22-221−521+52−1+5−1−5−1+521−52−1−521+521−51−5−1+51+51+5−1−5−1+52−1−52001−521+52−1+52−1+521−52−1−52−1−521+52000000000000000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000
χ934-4-44-2-244-2-22222-4-4-4-4441-11-1-2-2-2-22-22-222-222-2220011-1-11-1-1100000000000000000000000000000023−2300−33−3300000000000000
χ944-4-44-2-244-2-22222-4-4-4-4441-11-1-2-2-2-22-22-222-222-2220011-1-11-1-11000000000000000000000000000000−2323003−33−300000000000000
χ958888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+2522221+51−51+51−51+51+51−51−51+51+51+51−51−51−51+51−500−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000000000000000000000000000000000000000000000000000
χ968888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−2522221−51+51−51+51−51−51+51+51−51−51−51+51+51+51−51+500−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4−2−25−2+2544-4-4442+252−25−2−25−2+252+252−252-2-221+51−51+51−5−1−5−1−5−1+5−1+51+5−1−5−1−51−5−1+5−1+51+51−500−1−52−1+52−1−521+521+52−1+521−521−520000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4−2+25−2−2544-4-4442−252+25−2+25−2−252−252+252-2-221−51+51−51+5−1+5−1+5−1−5−1−51−5−1+5−1+51+5−1−5−1−51−51+500−1+52−1−52−1+521−521−52−1−521+521+520000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−2−25−2+254444-4-4−2−25−2+252+252−252+252−2522-2-21+51−51+51−51+5−1−51−5−1+5−1−51+5−1−5−1+51−5−1+5−1−5−1+500−1−52−1+521+52−1−521+521−52−1+521−520000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4−2+25−2−254444-4-4−2+25−2−252−252+252−252+2522-2-21−51+51−51+51−5−1+51+5−1−5−1+51−5−1+5−1−51+5−1−5−1+5−1−500−1+52−1−521−52−1+521−521+52−1−521+520000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4−2−25−2+25-4-444442+252−252+252−25−2−25−2+252-22-21+51−51+51−5−1−51+5−1+51−5−1−5−1−51+5−1+5−1+51−5−1−5−1+500−1−52−1+521+521+52−1−521−521−52−1+520000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−2+25−2−25-4-444442−252+252−252+25−2+25−2−252-22-21−51+51−51+5−1+51−5−1−51+5−1+5−1+51−5−1−5−1−51+5−1+5−1−500−1+52−1−521−521−52−1+521+521+52−1−520000000000000000000000000000000000000000000000000000

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