Finite Group Databasebeta

← Group #13086191

Character table — Group #13086191

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444488888888101012121212121212121212121212121212121212121212121212121212121218182020202020202020363636366060606060609090
order12223355666666101010101010366615151515303030303030303030303030151530303030303044441212121220202020202020206060606060606060606060606060606044121212121212121220202020441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-11-1-111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ5111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-11-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111111111111111111-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1
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+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5200222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200000000−1−52−1−52−1+52−1+5200000000
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+52002-222-2-2−1−52−1−52−1+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+521−521−521−521−52-2-2000000001+521+521−521−5200000000
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+5200-22-2-2221+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+52-2-2000000001+521+521−521−5200000000
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+5200-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522200000000−1−52−1−52−1+52−1+5200000000
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+52−1−52−1−52−1−5200222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200000000−1+52−1+52−1−52−1−5200000000
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+52−1−52−1−52−1−52002-222-2-2−1+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+52-2-2000000001−521−521+521+5200000000
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+52−1−52−1−52−1−5200-22-2-2221−521−521+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+52−1−52−1−52−1−52−1−52-2-2000000001−521−521+521+5200000000
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+52−1−52−1−52−1−5200-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522200000000−1+52−1+52−1−52−1−5200000000
χ1722222-12222-1-12-1222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-1220200-1-10000222200000000-1-1-1-1-1-1-1-10022-1-1-1-1-1-100000200-1-100
χ1822222-12222-1-12-1222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-1220-200110000-2-2-2-200000000111111110022-1-1-1-1-1-100000-2001100
χ1922222-12222-1-12-1222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-1-2-20200-1-10000222200000000-1-1-1-1-1-1-1-100-2-211111100000-2001100
χ2022222-12222-1-12-1222222-1-1-1-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-1-2-20-200110000-2-2-2-2000000001111111100-2-211111100000200-1-100
χ212222-1222-1-122-12222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-12220-1-10022220000-1-1-1-1-1-1-1-10000000000-1-122-1-1-1-1000020-1-10000
χ222222-1222-1-122-12222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-122-201100-2-2-2-20000111111110000000000-1-122-1-1-1-10000-20110000
χ232222-1222-1-122-12222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-1-2-220-1-10022220000-1-1-1-1-1-1-1-1000000000011-2-211110000-20110000
χ242222-1222-1-122-12222222-1-1-1-1-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-1-2-2-201100-2-2-2-2000011111111000000000011-2-21111000020-1-10000
χ2522-2-222222-22-2-2-2-2-2-2-22222-2-222222-22-22-22-2-2-2-2-2222-2-22-2-2000000000000000000000000000000002-2000000002-22-200000000
χ2622-2-222222-22-2-2-2-2-2-2-22222-2-222222-22-22-22-2-2-2-2-2222-2-22-2-200000000000000000000000000000000-2200000000-22-2200000000
χ2722-2-222−1−52−1+522-22-2-2-21+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+521−521−5200000000−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−ζ472-200000000−1−521+52−1+521−5200000000
χ2822-2-222−1−52−1+522-22-2-2-21+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+521−521−5200000000−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+ζ47-22000000001+52−1−521−52−1+5200000000
χ2922-2-222−1−52−1+522-22-2-2-21+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+521−521−5200000000ζ11−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−ζ47-22000000001+52−1−521−52−1+5200000000
χ3022-2-222−1−52−1+522-22-2-2-21+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+521−521−5200000000ζ11−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+ζ472-200000000−1−521+52−1+521−5200000000
χ3122-2-222−1+52−1−522-22-2-2-21−521+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+5200000000ζ7−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+ζ592-200000000−1+521−52−1−521+5200000000
χ3222-2-222−1+52−1−522-22-2-2-21−521+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+5200000000ζ7−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−ζ59-22000000001−52−1+521+52−1−5200000000
χ3322-2-222−1+52−1−522-22-2-2-21−521+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+5200000000−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+ζ59-22000000001−52−1+521+52−1−5200000000
χ3422-2-222−1+52−1−522-22-2-2-21−521+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+5200000000−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−ζ592-200000000−1+521−52−1−521+5200000000
χ352-22-22222-2-2-2-222-2-222-2-22-2-222222-2-2-2-2-2-2-2-2222222-22-2-22-22-2000000000000000000000000000000002-22-222-2-2000000000000
χ362-22-22222-2-2-2-222-2-222-2-22-2-222222-2-2-2-2-2-2-2-2222222-22-2-22-2-2200000000000000000000000000000000-22-22-2-222000000000000
χ372-22-22-122-2-2112-1-2-222-2-2-111-12-12-1-2-211-2-2112-12-1-1-11-111-112-20000−i3i30000000000000000−i3i3−i3i3−i3i3−i3i3002-2-11-1-11100000000−i3i300
χ382-22-22-122-2-2112-1-2-222-2-2-111-12-12-1-2-211-2-2112-12-1-1-11-111-112-20000i3−i30000000000000000i3−i3i3−i3i3−i3i3−i3002-2-11-1-11100000000i3−i300
χ392-22-22-122-2-2112-1-2-222-2-2-111-12-12-1-2-211-2-2112-12-1-1-11-111-11-220000−i3i30000000000000000−i3i3−i3i3−i3i3−i3i300-221-111-1-100000000i3−i300
χ402-22-22-122-2-2112-1-2-222-2-2-111-12-12-1-2-211-2-2112-12-1-1-11-111-11-220000i3−i30000000000000000i3−i3i3−i3i3−i3i3−i300-221-111-1-100000000−i3i300
χ412-22-2-122211-2-2-12-2-222-2-2-111-1-12-1211-2-211-2-2-12-12-1-11-111-112-200−i3i30000000000−i3i3−i3i3−i3i3−i3i30000000000-112-2-1-111000000−i3i30000
χ422-22-2-122211-2-2-12-2-222-2-2-111-1-12-1211-2-211-2-2-12-12-1-11-111-112-200i3−i30000000000i3−i3i3−i3i3−i3i3−i30000000000-112-2-1-111000000i3−i30000
χ432-22-2-122211-2-2-12-2-222-2-2-111-1-12-1211-2-211-2-2-12-12-1-11-111-11-2200−i3i30000000000−i3i3−i3i3−i3i3−i3i300000000001-1-2211-1-1000000i3−i30000
χ442-22-2-122211-2-2-12-2-222-2-2-111-1-12-1211-2-211-2-2-12-12-1-11-111-11-2200i3−i30000000000i3−i3i3−i3i3−i3i3−i300000000001-1-2211-1-1000000−i3i30000
χ452-2-222222-22-22-2-222-2-2-2-22-22-22222-22-22-22-22-2-2-2-222-2-22-2-2200000000000000000000000000000000000000000000000000002-2
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χ934-4-44-2-2442-22-22244-4-4-4-41-11-1-2-2-2-22-22-22-22-2222211-1-11-1-11000000000000000000000000000000000000003i−3i−3i3i000000000000
χ944-4-44-2-2442-22-22244-4-4-4-41-11-1-2-2-2-22-22-22-22-2222211-1-11-1-1100000000000000000000000000000000000000−3i3i3i−3i000000000000
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+25-44-44442+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+25−2−25-44-44442−252+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+254444-4-42+252−25−2−25−2+252+252−252-2-221+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+25−2−254444-4-42−252+25−2+25−2−252−252+252-2-221−51−51+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+254-44-444−2−25−2+252+252−252+252−252-22-21+51+51−51−5−1−51+5−1−51+5−1+51−5−1+51−5−1−5−1−5−1+5−1+5−1−52−1+521+521+52−1−521−521−52−1+52000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−2+25−2−254-44-444−2+25−2−252−252+252−252+252-22-21−51−51+51+5−1+51−5−1+51−5−1−51+5−1−51+5−1+5−1+5−1−5−1−5−1+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.