Finite Group Databasebeta

← Group #13086149

Character table — Group #13086149

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444444888888881212121212121212121212121212121212121212121212121212121212121818202020202020202020303030303636363660606060180
order12223355666666101010101010366615151515303030303030303030303030151530303030303044121212122020202020202020606060606060606060606060606060604441212121212121212444420202020121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11
χ5111111111111111111111111111111111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111111-1-1-1-1-1-111-1-1-1
χ6111111111111111111111111111111111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52220000000000000−1−52−1−52−1+52−1+5200000
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-200000000000001+521+521−521−5200000
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2221+521+521−521−52−1−52−1−52−1+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+52-2-200000000000001+521+521−521−5200000
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52220000000000000−1−52−1−52−1+52−1+5200000
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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52220000000000000−1+52−1+52−1−52−1−5200000
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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-200000000000001−521−521+521+5200000
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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200000000000001−521−521+521+5200000
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+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52220000000000000−1+52−1+52−1−52−1−5200000
χ1722222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-10200-1-10000222200000000-1-1-1-1-1-1-1-1002-1-122-1-1-1-122000000-1-1000
χ1822222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-10200-1-10000222200000000-1-1-1-1-1-1-1-100-211-2-21111-2-200000011000
χ1922222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-10-200110000-2-2-2-20000000011111111002-1-122-1-1-1-1-2-200000011000
χ2022222-1222-12-1-12222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-10-200110000-2-2-2-2000000001111111100-211-2-2111122000000-1-1000
χ212222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-120-1-10022220000-1-1-1-1-1-1-1-10000000000222-1-1-1-1-1-10022000000-1-10
χ222222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-120-1-10022220000-1-1-1-1-1-1-1-10000000000-2-2-211111100-2-2000000110
χ232222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-1-201100-2-2-2-20000111111110000000000222-1-1-1-1-1-100-2-2000000110
χ242222-1222-12-122-1222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-1-201100-2-2-2-20000111111110000000000-2-2-21111110022000000-1-10
χ2522-2-2222222-2-2-2-2-2-2-2-22222-2-222222-22-22-22-2-2-2-2-2222-2-22-2-20000000000000000000000000000002-200000000000002-22-200000
χ2622-2-2222222-2-2-2-2-2-2-2-22222-2-222222-22-22-22-2-2-2-2-2222-2-22-2-2000000000000000000000000000000-220000000000000-22-2200000
χ2722-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−52−1−52−1+52−1−521+521+52−1+521−521−52000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−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−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−ζ472-20000000000000−1−521+52−1+521−5200000
χ2822-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−52−1−52−1+52−1−521+521+52−1+521−521−52000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−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−ζ47ζ11−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+ζ47-2200000000000001+52−1−521−52−1+5200000
χ2922-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−52−1−52−1+52−1−521+521+52−1+521−521−52000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−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−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−ζ47-2200000000000001+52−1−521−52−1+5200000
χ3022-2-222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−521+52−1−521+52−1+521−52−1+521−521+521+521−521−52−1−52−1+52−1−521+521+52−1+521−521−52000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−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+ζ47ζ11−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+ζ472-20000000000000−1−521+52−1+521−5200000
χ3122-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521−521+521+52−1+52−1−52−1+521−521−52−1−521+521+52000000ζ7−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+ζ59ζ7−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+ζ59ζ7−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+ζ592-20000000000000−1+521−52−1−521+5200000
χ3222-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521−521+521+52−1+52−1−52−1+521−521−52−1−521+521+52000000ζ7−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−ζ59ζ7−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−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−ζ59-2200000000000001−52−1+521+52−1−5200000
χ3322-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521−521+521+52−1+52−1−52−1+521−521−52−1−521+521+52000000−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+ζ59−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−ζ59ζ7−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+ζ59-2200000000000001−52−1+521+52−1−5200000
χ3422-2-222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+521−52−1+521−52−1−521+52−1−521+521−521−521+521+52−1+52−1−52−1+521−521−52−1−521+521+52000000−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−ζ59−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−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−ζ592-20000000000000−1+521−52−1−521+5200000
χ352-22-22222-2-22-22-2-2-222-2-22-22-22222-2-2-2-2-2-2-2-2222222-22-2-22-200000000000000000000000000000000000000000002i−2i0000002i−2i0
χ362-22-22222-2-22-22-2-2-222-2-22-22-22222-2-2-2-2-2-2-2-2222222-22-2-22-20000000000000000000000000000000000000000000−2i2i000000−2i2i0
χ372-22-2-12221-2-1-221-2-222-2-2-11-11-12-1211-2-211-2-2-12-12-1-11-111-1100−i3i30000000000−i3i3−i3i3−i3i3−i3i300000000000003−333−3−3002i−2i000000−ii0
χ382-22-2-12221-2-1-221-2-222-2-2-11-11-12-1211-2-211-2-2-12-12-1-11-111-1100−i3i30000000000−i3i3−i3i3−i3i3−i3i30000000000000−33−3−33300−2i2i000000i−i0
χ392-22-2-12221-2-1-221-2-222-2-2-11-11-12-1211-2-211-2-2-12-12-1-11-111-1100i3−i30000000000i3−i3i3−i3i3−i3i3−i300000000000003−333−3−300−2i2i000000i−i0
χ402-22-2-12221-2-1-221-2-222-2-2-11-11-12-1211-2-211-2-2-12-12-1-11-111-1100i3−i30000000000i3−i3i3−i3i3−i3i3−i30000000000000−33−3−333002i−2i000000−ii0
χ412-2-222222-2-2-22-2222-2-2-2-22-2-222222-22-22-22-22-2-2-2-222-2-22-2-22000000000000000000000000000000000000000002i−2i0000002i−2i000
χ422-2-222222-2-2-22-2222-2-2-2-22-2-222222-22-22-22-22-2-2-2-222-2-22-2-2200000000000000000000000000000000000000000−2i2i000000−2i2i000
χ432-2-222-122-21-2-11222-2-2-2-2-111-12-12-1-221-1-221-1-21-21-1-111-111-100003−300000000000000003−33−33−33−3000−i3i300−i3i3−i3i32i−2i000000−ii000
χ442-2-222-122-21-2-11222-2-2-2-2-111-12-12-1-221-1-221-1-21-21-1-111-111-100003−300000000000000003−33−33−33−3000i3−i300i3−i3i3−i3−2i2i000000i−i000
χ452-2-222-122-21-2-11222-2-2-2-2-111-12-12-1-221-1-221-1-21-21-1-111-111-10000−330000000000000000−33−33−33−33000−i3i300−i3i3−i3i3−2i2i000000i−i000
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χ934-4-44-2-244222-22-244-4-4-4-41-1-11-2-2-2-22-22-22-22-2222211-1-11-1-11000000000000000000000000000000000−2i32i300i3−i3i3−i30000000000000
χ944-4-44-2-244222-22-244-4-4-4-41-1-11-2-2-2-22-22-22-22-2222211-1-11-1-110000000000000000000000000000000002i3−2i300−i3i3−i3i30000000000000
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+51−51−5−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52000000000000000000000000000000000000000000000000000000
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+5−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4−2−25−2+25-4-444442+252−252+252−25−2−25−2+2522-2-21+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+5−1−5−1−5−1+5−1+5−1−52−1+52−1−521+521+52−1+521−521−52000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4−2+25−2−25-4-444442−252+252−252+25−2+25−2−2522-2-21−51−51+51+51−5−1+51−5−1+51+5−1−51+5−1−5−1+5−1+5−1−5−1−5−1+52−1−52−1+521−521−52−1−521+521+52000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−2−25−2+2544-44-442+252−25−2−25−2+252+252−252-22-21+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−5−1−52−1+521+52−1−521+521−52−1+521−52000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4−2+25−2−2544-44-442−252+25−2+25−2−252−252+252-22-21−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+5−1+52−1−521−52−1+521−521+52−1−521+52000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4−2−25−2+25444-44-4−2−25−2+252+252−252+252−252-2-221+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+5−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−2+25−2−25444-44-4−2+25−2−252−252+252−252+252-2-221−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1+5−1−5−1−5−1+52−1−521−521−52−1+521+521+52−1−52000000000000000000000000000000000000000000000000000000

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