Finite Group Databasebeta

← Group #13087697

Character table — Group #13087697

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444418183030303036363636363636363660606060606060606060
order1222335566666610101010101034666121212121212121215151515151515152020202030303030303030303030303030303030303030303030303060606060606060606060606060606060606060606060606060606060606060604422442101010102020202024666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ5111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-111-1-1
χ6111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ7111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1111-1-1-1-111
χ8111111111111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-11111-1-1
χ9222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522200002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ10222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-20000-21+521+521−521−521+521+521−521−520000000000
χ11222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522-2222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52220000-21+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ12222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522-2222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-200002−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ13222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222222222222−1+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+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522200002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ14222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222222222222−1+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+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-20000-21−521−521+521+521−521−521+521+520000000000
χ15222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522-2222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+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+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52220000-21−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ16222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522-2222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+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+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52-2-200002−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ1722222-1222-1-1-122222222-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220000000000020-1-1-1-10000
χ1822222-1222-1-1-122222222-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-2011110000
χ1922222-1222-1-1-122222222-1-2-1-1-111-2-211112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111002200000000000-20-1-1110000
χ2022222-1222-1-1-122222222-1-2-1-1-111-2-211112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-2000000000002011-1-10000
χ212222-1222-1222-1-1222222-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022000000000020000-1-1-1-1
χ222222-1222-1222-1-1222222-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-20000000000-200001111
χ232222-1222-1222-1-1222222-1-2-1-1-1-2-2111111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000220000000000-20000-1-111
χ242222-1222-1222-1-1222222-1-2-1-1-1-2-2111111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-200000000002000011-1-1
χ2522-2-2222222-2-2-2-222-2-2-2-2202-2-2000000002222222200002-22-222-2-22-22-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i−2i0000000002i−2i2i−2i0000000000
χ2622-2-2222222-2-2-2-222-2-2-2-2202-2-2000000002222222200002-22-222-2-22-22-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i2i000000000−2i2i−2i2i0000000000
χ2722-2-222−1−52−1+5222-2-2-2-2−1−52−1+521+521−521+521−52202-2-200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1−521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−521+521+521+521+521−521−521−521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ472i−2i00000−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+ζ470000000000
χ2822-2-222−1−52−1+5222-2-2-2-2−1−52−1+521+521−521+521−52202-2-200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1−521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−521+521+521+521+521−521−521−521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−2i2i00000ζ14−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−ζ470000000000
χ2922-2-222−1−52−1+5222-2-2-2-2−1−52−1+521+521−521+521−52202-2-200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1−521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−521+521+521+521+521−521−521−521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ472i−2i00000ζ14−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+ζ470000000000
χ3022-2-222−1−52−1+5222-2-2-2-2−1−52−1+521+521−521+521−52202-2-200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1−521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−521+521+521+521+521−521−521−521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−2i2i00000−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−ζ470000000000
χ3122-2-222−1+52−1−5222-2-2-2-2−1+52−1−521−521+521−521+52202-2-200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+521−52−1+521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+521−521−521−521−521+521+521+521+52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ592i−2i00000−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+ζ590000000000
χ3222-2-222−1+52−1−5222-2-2-2-2−1+52−1−521−521+521−521+52202-2-200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+521−52−1+521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+521−521−521−521−521+521+521+521+52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−2i2i00000ζ2+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−ζ590000000000
χ3322-2-222−1+52−1−5222-2-2-2-2−1+52−1−521−521+521−521+52202-2-200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+521−52−1+521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+521−521−521−521−521+521+521+521+52−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ592i−2i00000ζ2+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+ζ590000000000
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χ1164-4-44-24−1+5−1−52-44-4-221−51+51−51+5−1+5−1−5-202-2200−2323−2323−23231−52−1+51−521−521+52−1−51+521+520000−1+521−521−5−1+5−1+52−1+521−521−52−1−521+521+5−1−5−1−52−1−521+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000000000000000000000000
χ1174-4-44-2-24422-22-22-4-4-4-44410-11-10023−23−33−33-2-211-2-21100002-22-2-1-1112-22-2-1-11122-1-122-1-123−2323−230000−33−33−33−3323−2323−230000−33−33−33−330000000000000000000000000
χ1184-4-44-2-24422-22-22-4-4-4-44410-11-100−23233−33−3-2-211-2-21100002-22-2-1-1112-22-2-1-11122-1-122-1-1−2323−232300003−33−33−33−3−2323−232300003−33−33−33−30000000000000000000000000
χ1194-4-44-2-2−1−5−1+522-22-221+51−51+51−5−1−5−1+510-11-10023−23−33−331+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ19+ζ59−ζ11+ζ31ζ11−ζ31ζ19−ζ59ζ11−ζ31ζ19−ζ59−ζ19+ζ59−ζ11+ζ31ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ47−ζ23+ζ43ζ23−ζ43ζ7−ζ47ζ23−ζ43ζ7−ζ47−ζ7+ζ47−ζ23+ζ430000000000000000000000000
χ1204-4-44-2-2−1−5−1+522-22-221+51−51+51−5−1−5−1+510-11-10023−23−33−331+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ31ζ19−ζ59−ζ19+ζ59−ζ11+ζ31−ζ19+ζ59−ζ11+ζ31ζ11−ζ31ζ19−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ23−ζ43ζ7−ζ47−ζ7+ζ47−ζ23+ζ43−ζ7+ζ47−ζ23+ζ43ζ23−ζ43ζ7−ζ470000000000000000000000000
χ1214-4-44-2-2−1−5−1+522-22-221+51−51+51−5−1−5−1+510-11-100−23233−33−31+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ19−ζ59ζ11−ζ31−ζ11+ζ31−ζ19+ζ59−ζ11+ζ31−ζ19+ζ59ζ19−ζ59ζ11−ζ31−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ47ζ23−ζ43−ζ23+ζ43−ζ7+ζ47−ζ23+ζ43−ζ7+ζ47ζ7−ζ47ζ23−ζ430000000000000000000000000
χ1224-4-44-2-2−1−5−1+522-22-221+51−51+51−5−1−5−1+510-11-100−23233−33−31+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ31−ζ19+ζ59ζ19−ζ59ζ11−ζ31ζ19−ζ59ζ11−ζ31−ζ11+ζ31−ζ19+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ23+ζ43−ζ7+ζ47ζ7−ζ47ζ23−ζ43ζ7−ζ47ζ23−ζ43−ζ23+ζ43−ζ7+ζ470000000000000000000000000
χ1234-4-44-2-2−1+5−1−522-22-221−51+51−51+5−1+5−1−510-11-10023−23−33−331−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ23−ζ43ζ7−ζ47−ζ7+ζ47−ζ23+ζ43−ζ7+ζ47−ζ23+ζ43ζ23−ζ43ζ7−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ19+ζ59−ζ11+ζ31ζ11−ζ31ζ19−ζ59ζ11−ζ31ζ19−ζ59−ζ19+ζ59−ζ11+ζ310000000000000000000000000
χ1244-4-44-2-2−1+5−1−522-22-221−51+51−51+5−1+5−1−510-11-10023−23−33−331−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ47−ζ23+ζ43ζ23−ζ43ζ7−ζ47ζ23−ζ43ζ7−ζ47−ζ7+ζ47−ζ23+ζ43−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ31ζ19−ζ59−ζ19+ζ59−ζ11+ζ31−ζ19+ζ59−ζ11+ζ31ζ11−ζ31ζ19−ζ590000000000000000000000000
χ1254-4-44-2-2−1+5−1−522-22-221−51+51−51+5−1+5−1−510-11-100−23233−33−31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ23+ζ43−ζ7+ζ47ζ7−ζ47ζ23−ζ43ζ7−ζ47ζ23−ζ43−ζ23+ζ43−ζ7+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ19−ζ59ζ11−ζ31−ζ11+ζ31−ζ19+ζ59−ζ11+ζ31−ζ19+ζ59ζ19−ζ59ζ11−ζ310000000000000000000000000
χ1264-4-44-2-2−1+5−1−522-22-221−51+51−51+5−1+5−1−510-11-100−23233−33−31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ47ζ23−ζ43−ζ23+ζ43−ζ7+ζ47−ζ23+ζ43−ζ7+ζ47ζ7−ζ47ζ23−ζ43ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ31−ζ19+ζ59ζ19−ζ59ζ11−ζ31ζ19−ζ59ζ11−ζ31−ζ11+ζ31−ζ19+ζ590000000000000000000000000

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