Finite Group Databasebeta

← Group #11755345

Character table — Group #11755345

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222233444444444444444444444444466666666666888888888888881212121212121212121212121212202020204040404060606060
order122344556101020202020442461010101010101212151520202020202030306060606022410101010202020206123030303030306060606060602410101010101020202020202022886624244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1111-1-1-1-1111111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ411111111111111111-1-1111-1-1-1-1111111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ5111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-111
χ8111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-11111-1-1
χ911-11-1111111-1-1-1-1111-1-1-1-11111-111111-1-1-1-111-1-1-1-11-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-111111-11-11-11-11-11-1
χ1011-11-1111111-1-1-1-1111-1-1-1-11111-111111-1-1-1-111-1-1-1-11-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-11111-11-11-11-11-11-11
χ1111-11-1111111-1-1-1-111-11-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-11111-11-1-1-1-1-1-11111111-1111111-1-1-1-1-1-11-1-111-1-111-1-11
χ1211-11-1111111-1-1-1-111-11-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-11111-11-1-1-1-1-1-11111111-1111111-1-1-1-1-1-1-111-1-111-1-111-1
χ1311-11-1111111-1-1-1-1-1-11-1-1-1-11111-111111-1-1-1-111-1-1-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-11-11-11-11-1-11-11
χ1411-11-1111111-1-1-1-1-1-11-1-1-1-11111-111111-1-1-1-111-1-1-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-11-1-1-1111111-1-1-1-1-11-11-11-111-11-1
χ1511-11-1111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1111111-11-1-1-1-1-1-11111111-1-111-1-11-111-1
χ1611-11-1111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1111111-11-1-1-1-1-1-1111111-111-1-111-11-1-11
χ17222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−52222−1+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+52−1−52−1−52000000000000
χ18222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222-2-22−1+52−1−521−521−521+521+5222−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000000000
χ19222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+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+52−1−52−1−52-2-2-21−521−521+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+52000000000000
χ20222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−521−521−521+521+5222−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000000000
χ21222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+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+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+52000000000000
χ22222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222-2-22−1−52−1+521+521+521−521−5222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000000000000
χ23222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-21+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+521−521−52000000000000
χ24222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+521+521+521−521−5222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52000000000000
χ252222-2-222222-2-2-2-222002220000-2-222-2-2000022-2-2-2-2-2-22-2-2-2-2222200220000-2-2000000-2-20000220000000000000000
χ262222-2-222222-2-2-2-2-2-2002220000-2-222-2-2000022-2-2-2-222-22222-2-2-2-200220000-2-2000000220000-2-20000000000000000
χ272222-2-2−1+52−1−522−1+52−1−521−521−521+521+5222002−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18-2-2−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−521−521−521+521+52-2-221−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ282222-2-2−1+52−1−522−1+52−1−521−521−521+521+5222002−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18-2-2−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−521−521−521+521+52-2-221−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ292222-2-2−1+52−1−522−1+52−1−521−521−521+521+52-2-2002−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18-2-2−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−521−521−521+521+5222-2−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ302222-2-2−1+52−1−522−1+52−1−521−521−521+521+52-2-2002−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18-2-2−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−521−521−521+521+5222-2−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ312222-2-2−1−52−1+522−1−52−1+521+521+521−521−5222002−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14-2-2−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+521+521+521−521−52-2-221+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ322222-2-2−1−52−1+522−1−52−1+521+521+521−521−5222002−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14-2-2−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+521+521+521−521−52-2-221+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ332222-2-2−1−52−1+522−1−52−1+521+521+521−521−52-2-2002−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14-2-2−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+521+521+521−521−5222-2−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ342222-2-2−1−52−1+522−1−52−1+521+521+521−521−52-2-2002−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14-2-2−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+521+521+521−521−5222-2−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ35222-12222-12222220022-1222222-1-1-1-1222222-1-1-1-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-10000
χ36222-12222-12222220022-1222222-1-1-1-1222222-1-1-1-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-211110000
χ37222-12222-122222200-2-2-122-2-2-2-2-1-1-1-122-2-2-2-2-1-1-1-1-1-10000000000011-1-11111-1-111110000000000000022-2-2-1-1110000
χ38222-12222-122222200-2-2-122-2-2-2-2-1-1-1-122-2-2-2-2-1-1-1-1-1-10000000000011-1-11111-1-1111100000000000000-2-22211-1-10000
χ3922-222-22222222222200-2-2-200002-222-2-20000222222-22-22222222200-2-20000-2-2000000-2-20000-2-20000000000000000
χ4022-222-2222222222-2-200-2-2-200002-222-2-200002222222-22-2-2-2-2-2-2-2-200-2-20000-2-2000000220000220000000000000000
χ4122-222-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522200-21−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ182-2−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−1+52−1+52−1−52−1−52-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ4222-222-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522200-21−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ182-2−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−1+52−1+52−1−52−1−52-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ4322-222-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-200-21−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ182-2−1+52−1−521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−1+52−1+52−1−52−1−522-221−521−521+521+521−521−521+521+52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ4422-222-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-200-21−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ182-2−1+52−1−521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−1+52−1+52−1−52−1−522-221−521−521+521+521−521−521+521+52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ4522-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522200-21+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ142-2−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−1−52−1−52−1+52−1+52-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ4622-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522200-21+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ142-2−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−1−52−1−52−1+52−1+52-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ4722-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-200-21+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ142-2−1−52−1+521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−1−52−1−52−1+52−1+522-221+521+521−521−521+521+521−521−52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ4822-222-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-200-21+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ142-2−1−52−1+521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−1−52−1−52−1+52−1+522-221+521+521−521−521+521+521−521−52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ4922-22-22−1+52−1−522−1+52−1−521−521−521+521+52222-2-21−521+52−1+52−1+52−1−52−1−52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+522-2-21−521−521+521+52−1+52−1+52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-22−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−52000000000000
χ5022-22-22−1+52−1−522−1+52−1−521−521−521+521+5222-22-21−521+521−521−521+521+52-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+522-2-21−521−521+521+52−1+52−1+52−1−52−1−52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52000000000000
χ5122-22-22−1+52−1−522−1+52−1−521−521−521+521+52-2-22-2-21−521+52−1+52−1+52−1−52−1−52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-222−1+52−1+52−1−52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000000000
χ5222-22-22−1+52−1−522−1+52−1−521−521−521+521+52-2-2-22-21−521+521−521−521+521+52-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-222−1+52−1+52−1−52−1−521−521−521+521+52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52000000000000
χ5322-22-22−1−52−1+522−1−52−1+521+521+521−521−52222-2-21+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+521+521+521−521−522-2-21+521+521−521−52−1−52−1−52−1+52−1+522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-22−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+52000000000000
χ5422-22-22−1−52−1+522−1−52−1+521+521+521−521−5222-22-21+521−521+521+521−521−52-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-2-21+521+521−521−52−1−52−1−52−1+52−1+52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−52000000000000
χ5522-22-22−1−52−1+522−1−52−1+521+521+521−521−52-2-22-2-21+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+521+521+521−521−52-222−1−52−1−52−1+52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52000000000000
χ5622-22-22−1−52−1+522−1−52−1+521+521+521−521−52-2-2-22-21+521−521+521+521−521−52-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-222−1−52−1−52−1+52−1+521+521+521−521−52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52000000000000
χ5722-2-1-2222-122-2-2-2-2002-21-2-222221-1-1-122-2-2-2-2-1-1111100000000000-1111-1-1-1-1-1-11111000000000000002-22-2-11-110000
χ5822-2-1-2222-122-2-2-2-2002-21-2-222221-1-1-122-2-2-2-2-1-1111100000000000-1111-1-1-1-1-1-1111100000000000000-22-221-11-10000
χ5922-2-1-2222-122-2-2-2-200-221-2-2-2-2-2-21-1-1-1222222-1-11111000000000001-1111111-1-1-1-1-1-1000000000000002-2-22-111-10000
χ6022-2-1-2222-122-2-2-2-200-221-2-2-2-2-2-21-1-1-1222222-1-11111000000000001-1111111-1-1-1-1-1-100000000000000-222-21-1-110000
χ61444-244−1+5−1−5-2−1+5−1−5−1+5−1+5−1−5−1−50044-2−1+5−1−5−1+5−1+5−1−5−1−5-2-21−521+52−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521+521+5200000000000-2-21−521+521−521−521+521+521−521+521−521−521+521+5200000000000000000000000000
χ62444-244−1+5−1−5-2−1+5−1−5−1+5−1+5−1−5−1−500-4-4-2−1+5−1−51−51−51+51+5-2-21−521+52−1+5−1−51−51−51+51+51−521+521−521−521+521+5200000000000221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000000000000000000000000
χ63444-244−1−5−1+5-2−1−5−1+5−1−5−1−5−1+5−1+50044-2−1−5−1+5−1−5−1−5−1+5−1+5-2-21+521−52−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−5200000000000-2-21+521−521+521+521−521−521+521−521+521+521−521−5200000000000000000000000000
χ64444-244−1−5−1+5-2−1−5−1+5−1−5−1−5−1+5−1+500-4-4-2−1−5−1+51+51+51−51−5-2-21+521−52−1−5−1+51+51+51−51−51+521−521+521+521−521−5200000000000221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000000000000000000000000
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χ66444-2-4-4−1+5−1−5-2−1+5−1−51−51−51+51+50000-2−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18221−521+521−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−521+52−1+52−1+52−1−52−1−5200000000000001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000000000
χ67444-2-4-4−1+5−1−5-2−1+5−1−51−51−51+51+50000-2−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18221−521+521−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−521+52−1+52−1+52−1−52−1−5200000000000001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000000000
χ68444-2-4-4−1−5−1+5-2−1−5−1+51+51+51−51−50000-2−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14221+521−521+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+521−52−1−52−1−52−1+52−1+5200000000000001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000000000
χ69444-2-4-4−1−5−1+5-2−1−5−1+51+51+51−51−50000-2−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14221+521−521+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+521−52−1−52−1−52−1+52−1+5200000000000001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000000000
χ7044-4-24-444-244444400002-4-40000-22-2-2-4-40000-2-2-2-2-2-2000000000000022000022000000000000000000000000000000
χ7144-4-24-4−1+5−1−5-2−1+5−1−5−1+5−1+5−1−5−1−5000021−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18-221−521+521−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ181−521+521−521−521+521+520000000000000−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000000000
χ7244-4-24-4−1+5−1−5-2−1+5−1−5−1+5−1+5−1−5−1−5000021−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18-221−521+521−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ181−521+521−521−521+521+520000000000000−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000000000
χ7344-4-24-4−1−5−1+5-2−1−5−1+5−1−5−1−5−1+5−1+5000021+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14-221+521−521+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ141+521−521+521+521−521−520000000000000−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000000000
χ7444-4-24-4−1−5−1+5-2−1−5−1+5−1−5−1−5−1+5−1+5000021+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14-221+521−521+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ141+521−521+521+521−521−520000000000000−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000000000
χ7544-4-2-44−1+5−1−5-2−1+5−1−51−51−51+51+5004-421−51+5−1+5−1+5−1−5−1−52-21−521+52−1+5−1−51−51−51+51+51−521+52−1+52−1+52−1−52−1−5200000000000-22−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−5200000000000000000000000000
χ7644-4-2-44−1+5−1−5-2−1+5−1−51−51−51+51+500-4421−51+51−51−51+51+52-21−521+52−1+5−1−5−1+5−1+5−1−5−1−51−521+52−1+52−1+52−1−52−1−52000000000002-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+5200000000000000000000000000
χ7744-4-2-44−1−5−1+5-2−1−5−1+51+51+51−51−5004-421+51−5−1−5−1−5−1+5−1+52-21+521−52−1−5−1+51+51+51−51−51+521−52−1−52−1−52−1+52−1+5200000000000-22−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+5200000000000000000000000000
χ7844-4-2-44−1−5−1+5-2−1−5−1+51+51+51−51−500-4421+51−51+51+51−51−52-21+521−52−1−5−1+5−1−5−1−5−1+5−1+51+521−52−1−52−1−52−1+52−1+52000000000002-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−5200000000000000000000000000
χ794-4040044-4-4-400004i−4i0000000000044000000-4-4000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ804-4040044-4-4-40000−4i4i0000000000044000000-4-400000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ814-40400−1+5−1−5-41−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ74i−4i00000000000−1+5−1−50000001−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000000000
χ824-40400−1+5−1−5-41−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−4i4i00000000000−1+5−1−50000001−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000000000
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χ844-40400−1+5−1−5-41−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−4i4i00000000000−1+5−1−50000001−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000000000
χ854-40400−1−5−1+5-41+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ194i−4i00000000000−1−5−1+50000001+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000
χ864-40400−1−5−1+5-41+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−4i4i00000000000−1−5−1+50000001+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000
χ874-40400−1−5−1+5-41+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ194i−4i00000000000−1−5−1+50000001+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000
χ884-40400−1−5−1+5-41+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−4i4i00000000000−1−5−1+50000001+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000
χ898-80-400884-8-800000000000000000-4-4000000440000000000000000000000000000000000000000000000000000000
χ908-80-400−2+25−2−2542−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ700000000000001−51+5000000−1+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000000000
χ918-80-400−2+25−2−2542−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ700000000000001−51+5000000−1+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000000000000
χ928-80-400−2−25−2+2542+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ1900000000000001+51−5000000−1−5−1+5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000000000000
χ938-80-400−2−25−2+2542+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1900000000000001+51−5000000−1−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.