Finite Group Databasebeta

← Group #11753665

Character table — Group #11753665

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444446666666666668888888888888812121212121212121212121212122020202020202020404060606060
order12223445566610101010101044121215152020202020202020202020203030303030302244202020202020202012126060606060606060606060604410101010202020202020202044441212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ6111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ7111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-111
χ8111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1
χ911111-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-111111111-1-1-1-11-11-111-1-11-1-111-1
χ1011111-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-111111111-1-1-1-1-11-11-1-111-111-1-11
χ1111111-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111111-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-111111-11-111-1-11-11-1-11
χ1211111-1-1111111111111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111111-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-11111-11-11-1-111-11-111-1
χ1311111-1-111111111111-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-111111-1-1-1-111111-1-1111-1-1-11-11-11
χ1411111-1-111111111111-11-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-111-1-1-1111-11-11-1
χ1511111-1-111111111111-11-1-111-1-1-1-11111-1-1-1-1111111-1-11111111111-11-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11-1-1111-1-1-111-11-1
χ1611111-1-111111111111-11-1-111-1-1-1-11111-1-1-1-1111111-1-11111111111-11-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-111-1-1-1111-1-11-11
χ172222222−1−52−1+52222−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000
χ182222222−1−52−1+52222−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ212222222−1+52−1−52222−1+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+52−1−522222−1+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+52−1−52−1−52−1+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+52−1−52−1−5200000000000000
χ222222222−1+52−1−52222−1+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+52−1−52-2-2-2-21−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ232222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ242222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2522222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+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+5222-2-21+521+521+521+521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2622222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2−1−52−1+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+52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2722222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521+521+521−521−521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2822222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2922222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+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+52−1−5222-2-21−521−521−521−521+521+521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ3022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2−1+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+52−1−52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ3122222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ3222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ332222-12222-1-1-122222222-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-1-1-10000
χ342222-12222-1-1-122222222-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-21111110000
χ352222-12222-1-1-1222222-2-2-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100000000000011-1-1-1-1111111110000000000000022-2-2-1-1-1-1110000
χ362222-12222-1-1-1222222-2-2-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100000000000011-1-1-1-11111111100000000000000-2-2221111-1-10000
χ372222-1-2-222-1-1-12222222-211-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000000000-111111-1-1-1-11111000000000000002-22-2-1-111-110000
χ382222-1-2-222-1-1-12222222-211-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000000000-111111-1-1-1-1111100000000000000-22-2211-1-11-10000
χ392222-1-2-222-1-1-1222222-2211-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000000000001-111111111-1-1-1-1000000000000002-2-22-1-1111-10000
χ402222-1-2-222-1-1-1222222-2211-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-10000000000001-111111111-1-1-1-100000000000000-222-211-1-1-110000
χ4122-2-222-2222-2-2-2-222-2-2002-222000000002-22-2-2-222-2-22-22-222-2-222-2-2002-22-200000000002-22-20000000000000000000000
χ4222-2-222-2222-2-2-2-222-2-2002-222000000002-22-2-2-222-2-2-22-22-2-222-2-222002-22-20000000000-22-220000000000000000000000
χ4322-2-222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−52002-2−1−52−1+52−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−ζ47−1−521+52−1+521−521+521−52−1−52−1+521+521−522-22-2−1−52−1−521+521+52−1+52−1+521−521−5200−1−521+52−1+521−52−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−ζ4700−1−521+52−1+521−52−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−ζ4700000000000000
χ4422-2-222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−52002-2−1−52−1+52−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−ζ47−1−521+52−1+521−521+521−52−1−52−1+521+521−52-22-221+521+52−1−52−1−521−521−52−1+52−1+5200−1−521+52−1+521−52−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−ζ47001+52−1−521−52−1+52ζ11−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+ζ4700000000000000
χ4522-2-222-2−1−52−1+522-2-21+521−52−1−52−1+521+521−52002-2−1−52−1+52ζ11−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+ζ47−1−521+52−1+521−521+521−52−1−52−1+521+521−522-22-2−1−52−1−521+521+52−1+52−1+521−521−5200−1−521+52−1+521−52ζ11−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+ζ4700−1−521+52−1+521−52ζ11−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+ζ4700000000000000
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χ7544-4-4-2-44−1−5−1+5-2221+51−5−1−5−1+51+51−5002-21+521−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ471+5−1−51−5−1+5−1−52−1+521+521−52−1−52−1+5200000000000000−1−521+52−1+521−52ζ11−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−ζ470000000000000000000000000000
χ7644-4-4-2-44−1−5−1+5-2221+51−5−1−5−1+51+51−5002-21+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+5−1−51−5−1+5−1−52−1+521+521−52−1−52−1+5200000000000000−1−521+52−1+521−52−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+ζ470000000000000000000000000000
χ7744-4-4-2-44−1+5−1−5-2221−51+5−1+5−1−51−51+5002-21−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−5−1+51+5−1−5−1+52−1−521−521+52−1+52−1−5200000000000000−1+521−52−1−521+52−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+ζ590000000000000000000000000000
χ7844-4-4-2-44−1+5−1−5-2221−51+5−1+5−1−51−51+5002-21−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−5−1+51+5−1−5−1+52−1−521−521+52−1+52−1−5200000000000000−1+521−52−1−521+52ζ7−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−ζ590000000000000000000000000000
χ794-44-440044-44-444-4-4-4-4000044000000000000-4-4-4-444000000000000000000000000000000000000000000000000000000
χ804-44-4400−1−5−1+5-44-4−1−5−1+51+51−51+51−50000−1−5−1+50000000000001+51−51+51−5−1−5−1+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+2ζ43−2ζ47000000000000000000000000000000000000000000
χ814-44-4400−1−5−1+5-44-4−1−5−1+51+51−51+51−50000−1−5−1+50000000000001+51−51+51−5−1−5−1+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+2ζ47000000000000000000000000000000000000000000
χ824-44-4400−1+5−1−5-44-4−1+5−1−51−51+51−51+50000−1+5−1−50000000000001−51+51−51+5−1+5−1−500002ζ7−2ζ23−2ζ43+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+2ζ59000000000000000000000000000000000000000000
χ834-44-4400−1+5−1−5-44-4−1+5−1−51−51+51−51+50000−1+5−1−50000000000001−51+51−51+5−1+5−1−50000−2ζ7+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+2ζ31−2ζ59000000000000000000000000000000000000000000
χ844-44-4-200442-2244-4-4-4-40000-2-20000000000002222-2-2000000000000000000000000000000000000000000000023−23000000
χ854-44-4-200442-2244-4-4-4-40000-2-20000000000002222-2-20000000000000000000000000000000000000000000000−2323000000
χ864-4-4440044-4-44-4-4-4-44400004400000000000044-4-4-4-4000000000000000000000000000000000000000000000000000000
χ874-4-44400−1−5−1+5-4-441+51−51+51−5−1−5−1+50000−1−5−1+5000000000000−1−5−1+51+51−51+51−50000−2ζ11+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+2ζ47000000000000000000000000000000000000000000
χ884-4-44400−1−5−1+5-4-441+51−51+51−5−1−5−1+50000−1−5−1+5000000000000−1−5−1+51+51−51+51−500002ζ11−2ζ19+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+2ζ43−2ζ47000000000000000000000000000000000000000000
χ894-4-44400−1+5−1−5-4-441−51+51−51+5−1+5−1−50000−1+5−1−5000000000000−1+5−1−51−51+51−51+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+2ζ31−2ζ59000000000000000000000000000000000000000000
χ904-4-44400−1+5−1−5-4-441−51+51−51+5−1+5−1−50000−1+5−1−5000000000000−1+5−1−51−51+51−51+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+2ζ59000000000000000000000000000000000000000000
χ914-4-44-2004422-2-4-4-4-4440000-2-2000000000000-2-222220000000000000000000000000000000000000000000023−2300000000
χ924-4-44-2004422-2-4-4-4-4440000-2-2000000000000-2-2222200000000000000000000000000000000000000000000−232300000000
χ938-88-8-400−2−25−2+254-44−2−25−2+252+252−252+252−2500001+51−5000000000000−1−5−1+5−1−5−1+51+51−5000000000000000000000000000000000000000000000000000000
χ948-88-8-400−2+25−2−254-44−2+25−2−252−252+252−252+2500001−51+5000000000000−1+5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000000000000000
χ958-8-88-400−2−25−2+2544-42+252−252+252−25−2−25−2+2500001+51−50000000000001+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000
χ968-8-88-400−2+25−2−2544-42−252+252−252+25−2+25−2−2500001−51+50000000000001−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000

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