Finite Group Databasebeta

← Group #13086152

Character table — Group #13086152

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222444444444444444444446666666666666666666688888888121212121212121212121212121212121212121218181818181818181818202020202020202020606060606060180
order12223355666666101010101010366615151515303030303030303030303030444420202020202020202020202020202020151530303030303012121212606060606060606060606060606060604420202020202020204121212121212121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1
χ4111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1
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+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+52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
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+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+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+521−521−521−521−52-2-21+521+521+521+521−521−521−521−520000000000000000
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+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−520000000000000000
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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
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+52−1−52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+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+52-2-21−521−521−521−521+521+521+521+520000000000000000
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+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+520000000000000000
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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ1722222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-100220000000022222222-1-1-1-1-1-1-1-100-1-100000000-1-1-1-1-1-1-1-100000000002-1-122-1-1-1-102-1-1000
χ1822222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-100220000000022222222-1-1-1-1-1-1-1-100-1-100000000-1-1-1-1-1-1-1-10000000000-211-2-211110-211000
χ1922222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10011000000001111111100000000002-1-122-1-1-1-10-211000
χ2022222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1001100000000111111110000000000-211-2-2111102-1-1000
χ212222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-1222002222222200000000-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1000000000000000000222-1-1-1-1-1-12000-1-10
χ222222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-1222002222222200000000-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1000000000000000000-2-2-2111111-2000110
χ232222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-12-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1110011111111000000000000000000222-1-1-1-1-1-1-2000110
χ242222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-12-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1110011111111000000000000000000-2-2-21111112000-1-10
χ2522-2-22222-222-2-2-22-22-2-2-222-2-22222-2-22-2-2-22-22-22-22-20022-2-222-2-200000000222-2-22-2-22-20022-2-222-2-20000000000000000000000000000000000
χ2622-2-22222-222-2-2-22-22-2-2-222-2-22222-2-22-2-2-22-22-22-2-2200-2-222-2-22200000000222-2-22-2-2-2200-2-222-2-2220000000000000000000000000000000000
χ2722-2-222−1−52−1+52-222-2-2-2−1−521+52−1+521−521+521−5222-2-2−1−52−1−52−1+52−1+521+521+52−1−521+521−521−52−1+521−52−1−521+52−1+521−522-200−1−52−1−521+521+52−1+52−1+521−521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+52−1−521+521+52−1+521−521−522-200−1−52−1−521+521+52−1+52−1+521−521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ4700−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000000
χ2822-2-222−1−52−1+52-222-2-2-2−1−521+52−1+521−521+521−5222-2-2−1−52−1−52−1+52−1+521+521+52−1−521+521−521−52−1+521−52−1−521+52−1+521−522-200−1−52−1−521+521+52−1+52−1+521−521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+52−1−521+521+52−1+521−521−522-200−1−52−1−521+521+52−1+52−1+521−521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ4700ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000000
χ2922-2-222−1−52−1+52-222-2-2-2−1−521+52−1+521−521+521−5222-2-2−1−52−1−52−1+52−1+521+521+52−1−521+521−521−52−1+521−52−1−521+52−1+521−52-22001+521+52−1−52−1−521−521−52−1+52−1+52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+52−1−521+521+52−1+521−521−52-22001+521+52−1−52−1−521−521−52−1+52−1+52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ4700ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000000
χ3022-2-222−1−52−1+52-222-2-2-2−1−521+52−1+521−521+521−5222-2-2−1−52−1−52−1+52−1+521+521+52−1−521+521−521−52−1+521−52−1−521+52−1+521−52-22001+521+52−1−52−1−521−521−52−1+52−1+52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+52−1−521+521+52−1+521−521−52-22001+521+52−1−52−1−521−521−52−1+52−1+52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ4700−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000000
χ3122-2-222−1+52−1−52-222-2-2-2−1+521−52−1−521+521−521+5222-2-2−1+52−1+52−1−52−1−521−521−52−1+521−521+521+52−1−521+52−1+521−52−1−521+522-200−1+52−1+521−521−52−1−52−1−521+521+52ζ7−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+ζ59−1+52−1−52−1+521−521−52−1−521+521+522-200−1+52−1+521−521−52−1−52−1−521+521+52ζ7−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+ζ5900ζ7−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+ζ590000000000000000
χ3222-2-222−1+52−1−52-222-2-2-2−1+521−52−1−521+521−521+5222-2-2−1+52−1+52−1−52−1−521−521−52−1+521−521+521+52−1−521+52−1+521−52−1−521+522-200−1+52−1+521−521−52−1−52−1−521+521+52−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−ζ59−1+52−1−52−1+521−521−52−1−521+521+522-200−1+52−1+521−521−52−1−52−1−521+521+52−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−ζ5900−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−ζ590000000000000000
χ3322-2-222−1+52−1−52-222-2-2-2−1+521−52−1−521+521−521+5222-2-2−1+52−1+52−1−52−1−521−521−52−1+521−521+521+52−1−521+52−1+521−52−1−521+52-22001−521−52−1+52−1+521+521+52−1−52−1−52ζ7−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+ζ59−1+52−1−52−1+521−521−52−1−521+521+52-22001−521−52−1+52−1+521+521+52−1−52−1−52ζ7−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+ζ5900−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−ζ590000000000000000
χ3422-2-222−1+52−1−52-222-2-2-2−1+521−52−1−521+521−521+5222-2-2−1+52−1+52−1−52−1−521−521−52−1+521−521+521+52−1−521+52−1+521−52−1−521+52-22001−521−52−1+52−1+521+521+52−1−52−1−52−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−ζ59−1+52−1−52−1+521−521−52−1−521+521+52-22001−521−52−1+52−1+521+521+52−1−52−1−52−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−ζ5900ζ7−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+ζ590000000000000000
χ3522-2-2-122212-1-2-212-22-2-2-2-1-111-12-12112-2112-2-1-2-1-22-20022-2-222-2-200000000-1-1-111-111-1100-1-111-1-1110000000000000000000003−333−3−300003−30
χ3622-2-2-122212-1-2-212-22-2-2-2-1-111-12-12112-2112-2-1-2-1-22-20022-2-222-2-200000000-1-1-111-111-1100-1-111-1-111000000000000000000000−33−3−3330000−330
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χ874-44-44-2−1+5−1−5-42-4-2241−5−1+51+5−1−51−51+5-222-2−1+51−52−1−51+52−1+51−5−1+52−1+52−1−51+5−1−52−1−521−51−521+51+520000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+52−1+521−52−1+52−1−521+52−1−52000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000000000000000000000000
χ884-44-44-2−1+5−1−5-42-4-2241−5−1+51+5−1−51−51+5-222-2−1+51−52−1−51+52−1+51−5−1+52−1+52−1−51+5−1−52−1−521−51−521+51+52000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+52−1+521−52−1+52−1−521+52−1−52000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000000000000000000000000
χ894-44-4-24442-424-4-2-44-44-4-4-222-2-24-24-22-4-4-22-4-4242400000000000000000000-2-22-222-220000000000000000000000000000000000000000000000
χ904-44-4-24−1−5−1+52-424-4-21+5−1−51−5−1+51+51−5-222-21+52−1−51−52−1+51+52−1−521+51+51−52−1+521−51−5−1−52−1−5−1+52−1+50000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000001+521−52−1−521+52−1−52−1+521−52−1+520000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000000000000000000000000000000000
χ914-44-4-24−1−5−1+52-424-4-21+5−1−51−5−1+51+51−5-222-21+52−1−51−52−1+51+52−1−521+51+51−52−1+521−51−5−1−52−1−5−1+52−1+500002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000001+521−52−1−521+52−1−52−1+521−52−1+520000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000000000000000000000000000
χ924-44-4-24−1+5−1−52-424-4-21−5−1+51+5−1−51−51+5-222-21−52−1+51+52−1−51−52−1+521−51−51+52−1−521+51+5−1+52−1+5−1−52−1−500002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000001−521+52−1+521−52−1+52−1−521+52−1−520000−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−ζ590000000000000000000000000000000000
χ934-44-4-24−1+5−1−52-424-4-21−5−1+51+5−1−51−51+5-222-21−52−1+51+52−1−51−52−1+521−51−51+52−1−521+51+5−1+52−1+5−1−52−1−50000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000001−521+52−1+521−52−1+52−1−521+52−1−520000ζ7−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+ζ590000000000000000000000000000000000
χ944-44-4-2-244222-22-2-44-44-4-41-1-11-2-2-2-2-2222-22222-22-20000000000000000000011-11-1-11-1000000000000000000000000000000000003-3-330000000
χ954-44-4-2-244222-22-2-44-44-4-41-1-11-2-2-2-2-2222-22222-22-20000000000000000000011-11-1-11-100000000000000000000000000000000000-333-30000000
χ964-4-444-2−1−5−1+542-42-2-41+51+51−51−5−1−5−1+5-22-22−1−51+52−1+51−521+5−1−5−1−521+521−5−1+5−1+521−521+5−1−521−5−1+52004i−4i00000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1−521+52−1+52−1+521−5200−2i2i00000000ζ11+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−ζ4700000000000000000000000000
χ974-4-444-2−1−5−1+542-42-2-41+51+51−51−5−1−5−1+5-22-22−1−51+52−1+51−521+5−1−5−1−521+521−5−1+5−1+521−521+5−1−521−5−1+5200−4i4i000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1−521+52−1+52−1+521−52002i−2i00000000−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+ζ4700000000000000000000000000
χ984-4-444-2−1+5−1−542-42-2-41−51−51+51+5−1+5−1−5-22-22−1+51−52−1−51+521−5−1+5−1+521−521+5−1−5−1−521+521−5−1+521+5−1−52004i−4i00000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1+521−52−1−52−1−521+5200−2i2i00000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000
χ994-4-444-2−1+5−1−542-42-2-41−51−51+51+5−1+5−1−5-22-22−1+51−52−1−51+521−5−1+5−1+521−521+5−1−5−1−521+521−5−1+521+5−1−5200−4i4i000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1+521−52−1−52−1−521+52002i−2i00000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000
χ1004-4-44-2444-2-42-442-4-4-4-444-22-22-24-242-2-442-2-442-42-400000000000000000000-2-222-222-20000000000000000000000000000000000000000000000
χ1014-4-44-24−1−5−1+5-2-42-4421+51+51−51−5−1−5−1+5-22-221+52−1−51−52−1+5−1−521+521+5−1−5−1+521−521−5−1+5−1−521+5−1+521−50000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000001+521−52−1−52−1−521+52−1+52−1+521−520000ζ11−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−ζ470000000000000000000000000000000000
χ1024-4-44-24−1−5−1+5-2-42-4421+51+51−51−5−1−5−1+5-22-221+52−1−51−52−1+5−1−521+521+5−1−5−1+521−521−5−1+5−1−521+5−1+521−500002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000001+521−52−1−52−1−521+52−1+52−1+521−520000−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+ζ470000000000000000000000000000000000
χ1034-4-44-24−1+5−1−5-2-42-4421−51−51+51+5−1+5−1−5-22-221−52−1+51+52−1−5−1+521−521−5−1+5−1−521+521+5−1−5−1+521−5−1−521+500002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000001−521+52−1+52−1+521−52−1−52−1−521+520000−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+ζ590000000000000000000000000000000000
χ1044-4-44-24−1+5−1−5-2-42-4421−51−51+51+5−1+5−1−5-22-221−52−1+51+52−1−5−1+521−521−5−1+5−1−521+521+5−1−5−1+521−5−1−521+50000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000001−521+52−1+52−1+521−52−1−52−1−521+520000ζ7−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−ζ590000000000000000000000000000000000
χ1054-4-44-2-244-2222-22-4-4-4-4441-11-1-2-2-2-22-22-22-22-222220000000000000000000011-1-11-1-11000000000000000000000000000000023−2300−33−330000000
χ1064-4-44-2-244-2222-22-4-4-4-4441-11-1-2-2-2-22-22-22-22-222220000000000000000000011-1-11-1-110000000000000000000000000000000−2323003−33−30000000
χ1078888-4-4−2−25−2+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+51−51−500000000000000000000−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000000000000000000000000000000000000000000000
χ1088888-4-4−2+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+500000000000000000000−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000000000000000000000000000000000000000000000
χ10988-8-8-4-4−2−25−2+254-4-4444−2−252+25−2+252−252+252−2522-2-21+51+51−51−5−1−5−1−51+5−1−5−1+5−1+51−5−1+51+5−1−51−5−1+500000000000000000000−1−52−1+52−1−521+521+52−1+521−521−520000000000000000000000000000000000000000000000
χ11088-8-8-4-4−2+25−2−254-4-4444−2+252−25−2−252+252−252+2522-2-21−51−51+51+5−1+5−1+51−5−1+5−1−5−1−51+5−1−51−5−1+51+5−1−500000000000000000000−1+52−1−52−1+521−521−52−1−521+521+520000000000000000000000000000000000000000000000
χ1118-88-8-4-4−2−25−2+25444-44-42+25−2−252−25−2+252+252−252-2-221+51+51−51−51+5−1−5−1−5−1−51−5−1+5−1+5−1+5−1−51+5−1+51−500000000000000000000−1−52−1+521+52−1−521+521−52−1+521−520000000000000000000000000000000000000000000000
χ1128-88-8-4-4−2+25−2−25444-44-42−25−2+252+25−2−252−252+252-2-221−51−51+51+51−5−1+5−1+5−1+51+5−1−5−1−5−1−5−1+51−5−1−51+500000000000000000000−1+52−1−521−52−1+521−521+52−1−521+520000000000000000000000000000000000000000000000
χ1138-8-88-4-4−2−25−2+25-4444-442+252+252−252−25−2−25−2+252-22-21+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+500000000000000000000−1−52−1+521+521+52−1−521−521−52−1+520000000000000000000000000000000000000000000000
χ1148-8-88-4-4−2+25−2−25-4444-442−252−252+252+25−2+25−2−252-22-21−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1+5−1−5−1−500000000000000000000−1+52−1−521−521−52−1+521+521+52−1−520000000000000000000000000000000000000000000000

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