Finite Group Databasebeta

← Group #12088740

Character table — Group #12088740

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222444444444448888888888888888888888888881616161616161616161616161616161616162020202020202020202032324040404040808080
order1222444455101010101010444202020202020202024488888810101010202020202020404040404040404044202020202020202040404040404040402244888888202044888248
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-111-11-1
χ4111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11-1-11-11
χ5111111111111111111111111111-11-111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
χ6111111111111111111111111111-11-111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11-1111-1-1-1
χ7111111111111111111111111111-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-11-1
χ8111111111111111111111111111-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1111-11
χ91111111111111111-1-11111111111-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-11-1-1
χ101111111111111111-1-11111111111-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-111
χ111111111111111111-1-11111111111-11-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-1-11
χ121111111111111111-1-11111111111-11-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-11111-1
χ131111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-111111-1-1
χ141111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1111111-1-1-1-11-1-1-1-1-111
χ151111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-11
χ161111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-111-1
χ1722222222−1+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+52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−5200000000
χ1822222222−1+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+52−1−52222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000001−521+5200000000
χ1922222222−1+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+52−1−52-22-222-2-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+5200000000
χ2022222222−1+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+52−1−52-22-2-2-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-22−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−5200000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−5200000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-22-2-22222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+5200000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+522-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+5200000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000−1+52−1−5200000000
χ2522222222−1−52−1+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+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+5200000000
χ2622222222−1−52−1+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+52222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000001+521−5200000000
χ2722222222−1−52−1+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+52-22-222-2-2221+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+52-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−5200000000
χ2822222222−1−52−1+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+52-22-2-2-222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+5200000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+5200000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-22-2-22222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−5200000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−522-21+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+5200000000001+521−5200000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2221+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+52221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000−1−52−1+5200000000
χ3322222-2-222222222222-2-2-222-2-2220-2000000000002222-2-20000000000-2-200000000000000002200002200-20-200000
χ3422222-2-222222222222-2-2-222-2-2220-2000000000002222-2-20000000000-2-20000000000000000-2-20000-2-20020200000
χ3522222-2-2222222222-2-2-2-2-222-2-2220200000000000-2-2-2-2-2-20000000000220000000000000000220000-2-200-20200000
χ3622222-2-2222222222-2-2-2-2-222-2-2220200000000000-2-2-2-2-2-20000000000220000000000000000-2-20000220020-200000
χ372222-222-22222222200-222-2-222-2-220-200000022220000-2-2000000000000-2-2000000000000220022-2-200000-2000000
χ382222-222-22222222200-222-2-222-2-220-200000022220000-2-2000000000000-2-2000000000000-2-200-2-222000002000000
χ392222-222-22222222200-222-2-222-2-2-202000000-2-2-2-20000-2-2000000000000220000000000002200-2-22200000-2000000
χ402222-222-22222222200-222-2-222-2-2-202000000-2-2-2-20000-2-200000000000022000000000000-2-20022-2-2000002000000
χ412-2-22-200222-2-2-2-2222-2000-2-200220002−2002−200002-22-20022−2−222−2−200000000002−22−20000002-22−22−22-2000002−2000
χ422-2-22-200222-2-2-2-2222-2000-2-200220002−2002−200002-22-20022−2−222−2−200000000002−22−2000000-22−22−22-2200000−22000
χ432-2-22-200222-2-2-2-2222-2000-2-20022000−2200−2200002-22-200−2−222−2−2220000000000−22−220000002-2−22−222-200000−22000
χ442-2-22-200222-2-2-2-2222-2000-2-20022000−2200−2200002-22-200−2−222−2−2220000000000−22−22000000-222−22−2-22000002−2000
χ452-2-22-200222-2-2-2-222-22000-2-200220002−200−220000-22-2200−2−222−2−22200000000002−22−20000002-22−22−2-2200000−22000
χ462-2-22-200222-2-2-2-222-22000-2-200220002−200−220000-22-2200−2−222−2−22200000000002−22−2000000-22−22−222-2000002−2000
χ472-2-22-200222-2-2-2-222-22000-2-20022000−22002−20000-22-220022−2−222−2−20000000000−22−220000002-2−22−22-22000002−2000
χ482-2-22-200222-2-2-2-222-22000-2-20022000−22002−20000-22-220022−2−222−2−20000000000−22−22000000-222−22−22-200000−22000
χ4944444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-41−51+5−1+5−1−51−51+5−1+5−1−50-400000000000−1+5−1+5−1−5−1−51−51+500000000001−51+50000000000000000000000000000000000
χ5044444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-41−51+5−1+5−1−51−51+5−1+5−1−504000000000001−51−51+51+51−51+50000000000−1+5−1−50000000000000000000000000000000000
χ5144444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-41+51−5−1−5−1+51+51−5−1−5−1+50-400000000000−1−5−1−5−1+5−1+51+51−500000000001+51−50000000000000000000000000000000000
χ5244444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-41+51−5−1−5−1+51+51−5−1−5−1+504000000000001+51+51−51−51+51−50000000000−1−5−1+50000000000000000000000000000000000
χ534444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1−51−51+5−1+5−1−51−51+540-4000000−1+5−1+5−1−5−1−500001−51+50000000000001−51+500000000000000000000000000000000
χ544444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1−51−51+5−1+5−1−51−51+5-4040000001−51−51+51+500001−51+5000000000000−1+5−1−500000000000000000000000000000000
χ554444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1+51+51−5−1−5−1+51+51−540-4000000−1−5−1−5−1+5−1+500001+51−50000000000001+51−500000000000000000000000000000000
χ564444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1+51+51−5−1−5−1+51+51−5-4040000001+51+51−51−500001+51−5000000000000−1−5−1+500000000000000000000000000000000
χ574444-4-4-4-444444444004-4-4-4-4-4-4-4-400000000000000000440000000000000000000000000000000000000000000000
χ584444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51+51−51+51−51+51−51+500000000000000000−1+5−1−5000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000
χ594444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51+51−51+51−51+51−51+500000000000000000−1+5−1−500000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000
χ604444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51−51+51−51+51−51+51−500000000000000000−1−5−1+500000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000
χ614444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51−51+51−51+51−51+51−500000000000000000−1−5−1+5000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000
χ6244-4-404-404444-4-4-4-4000-4-40044000000000000000000000000000000000000000000000004-4000000000000000000
χ6344-4-404-404444-4-4-4-4000-4-4004400000000000000000000000000000000000000000000000-44000000000000000000
χ6444-4-40-4404444-4-4-4-40004400-4-4000000022−22000000000000000000000000000000000022−2222−2200000000000000000000
χ6544-4-40-4404444-4-4-4-40004400-4-40000000−22220000000000000000000000000000000000−2222−222200000000000000000000
χ6644-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+5000000022−22002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000
χ6744-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+5000000022−2200−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000
χ6844-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+50000000−2222002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000
χ6944-4-40-440−1+5−1−5−1+5−1−51−51+51−51+5000−1+5−1−5001−51+50000000−222200−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000
χ7044-4-40-440−1−5−1+5−1−5−1+51+51−51+51−5000−1−5−1+5001+51−5000000022−2200−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000
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χ7244-4-40-440−1−5−1+5−1−5−1+51+51−51+51−5000−1−5−1+5001+51−50000000−222200−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000
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χ764-4-44-4004−1+5−1−51−51+51−51+5−1+5−1−54-40001−51+500−1+5−1−500022−220022−220000−1+51−5−1−51+500−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000
χ774-4-44-4004−1+5−1−51−51+51−51+5−1+5−1−54-40001−51+500−1+5−1−5000−222200−22220000−1+51−5−1−51+500ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000
χ784-4-44-4004−1+5−1−51−51+51−51+5−1+5−1−5-440001−51+500−1+5−1−500022−2200−222200001−5−1+51+5−1−500ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000
χ794-4-44-4004−1+5−1−51−51+51−51+5−1+5−1−5-440001−51+500−1+5−1−5000−22220022−2200001−5−1+51+5−1−500−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000
χ804-4-44-4004−1−5−1+51+51−51+51−5−1−5−1+54-40001+51−500−1−5−1+500022−220022−220000−1−51+5−1+51−500ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000
χ814-4-44-4004−1−5−1+51+51−51+51−5−1−5−1+54-40001+51−500−1−5−1+5000−222200−22220000−1−51+5−1+51−500−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000
χ824-4-44-4004−1−5−1+51+51−51+51−5−1−5−1+5-440001+51−500−1−5−1+500022−2200−222200001+5−1−51−5−1+500−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000
χ834-4-44-4004−1−5−1+51+51−51+51−5−1−5−1+5-440001+51−500−1−5−1+5000−22220022−2200001+5−1−51−5−1+500ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000
χ8488-8-808-80−2+25−2−25−2+25−2−252−252+252−252+250002−252+2500−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-808-80−2−25−2+25−2−25−2+252+252−252+252−250002+252−2500−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8000088-8-888-8-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-80000−2+25−2−252−252+25−2+25−2−252−252+250000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ888-88-80000−2+25−2−252−252+25−2+25−2−252−252+25000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ898-88-80000−2−25−2+252+252−25−2−25−2+252+252−25000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ908-88-80000−2−25−2+252+252−25−2−25−2+252+252−250000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ918-8-88800-8−2+25−2−252−252+252−252+25−2+25−2−2500000−2+25−2−25002−252+2500000000000000000000000000000000000000000000000000000000000000000
χ928-8-88800-8−2−25−2+252+252−252+252−25−2−25−2+2500000−2−25−2+25002+252−2500000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1).