Finite Group Databasebeta

← Group #12089640

Character table — Group #12089640

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222444444444448888888888888888888888888881616161616161616161616161616161616162020202020202020202032324040404040808080
order1222444455101010101010444202020202020202024488888820202020202020202020404040404040404044101020202020202040404040404040402244888888202044888248
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-11-11
χ4111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-111-11-1
χ5111111111111111111111111111-11-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111111-1-1-11-1
χ6111111111111111111111111111-11-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1111-11
χ7111111111111111111111111111-11-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-11111-1-1-1
χ8111111111111111111111111111-11-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1111
χ91111111111111111-1-11111111111-1111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1
χ101111111111111111-1-11111111111-1111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11-11-1-1-1-11
χ111111111111111111-1-11111111111-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-11-1-1
χ121111111111111111-1-11111111111-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-111
χ131111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111111111111111-1-111-1-111-1-1-11-1-1-1-111
χ141111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-111-1-111-1-1-1-11-11111-1-1
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+52−1−52-22-222-2-2-2-2−1+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
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+52−1−52-22-2-2-22222−1+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
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+52−1−522-2222-2-2221−521−521+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
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+52−1−522-22-2-222-2-21−521−521+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
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+52-22-222-2-2-2-2−1−52−1−52−1+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
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+52-22-2-2-22222−1−52−1−52−1+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
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+522-2222-2-2221+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
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+522-22-2-222-2-21+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
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
χ3322222-2-222222222200-2-2-222-2-22220-20000000000-2-2-2-2-2-2000000000022000000000000000022-2-2002200-20000000
χ3422222-2-222222222200-2-2-222-2-22220-20000000000-2-2-2-2-2-20000000000220000000000000000-2-22200-2-20020000000
χ3522222-2-222222222200-2-2-222-2-222-20200000000002222-2-20000000000-2-20000000000000000222200-2-200-20000000
χ3622222-2-222222222200-2-2-222-2-222-20200000000002222-2-20000000000-2-20000000000000000-2-2-2-200220020000000
χ372222-222-22222222222-222-2-222-2-20-2000000022220000-2-2000000000000-2-20000000000002200002200000-2-200000
χ382222-222-22222222222-222-2-222-2-20-2000000022220000-2-2000000000000-2-2000000000000-2-20000-2-2000002200000
χ392222-222-222222222-2-2-222-2-222-2-2020000000-2-2-2-20000-2-200000000000022000000000000220000-2-200000-2200000
χ402222-222-222222222-2-2-222-2-222-2-2020000000-2-2-2-20000-2-200000000000022000000000000-2-2000022000002-200000
χ412-22-202-2022-2-222-2-22i−2i0-2-200220000000i2−i22−22i−2i2i−2i00000022−2−222−2−200000000000000i2−i2i2−i22-200i2−i22i−2ii2−i2000002−2000
χ422-22-202-2022-2-222-2-22i−2i0-2-200220000000i2−i22−22i−2i2i−2i00000022−2−222−2−200000000000000i2−i2i2−i2-2200−i2i2−2i2i−i2i200000−22000
χ432-22-202-2022-2-222-2-22i−2i0-2-200220000000−i2i2−222i−2i2i−2i000000−2−222−2−22200000000000000−i2i2−i2i22-200−i2i22i−2i−i2i200000−22000
χ442-22-202-2022-2-222-2-22i−2i0-2-200220000000−i2i2−222i−2i2i−2i000000−2−222−2−22200000000000000−i2i2−i2i2-2200i2−i2−2i2ii2−i2000002−2000
χ452-22-202-2022-2-222-2-2−2i2i0-2-200220000000i2−i2−22−2i2i−2i2i000000−2−222−2−22200000000000000i2−i2i2−i22-200i2−i2−2i2ii2−i200000−22000
χ462-22-202-2022-2-222-2-2−2i2i0-2-200220000000i2−i2−22−2i2i−2i2i000000−2−222−2−22200000000000000i2−i2i2−i2-2200−i2i22i−2i−i2i2000002−2000
χ472-22-202-2022-2-222-2-2−2i2i0-2-200220000000−i2i22−2−2i2i−2i2i00000022−2−222−2−200000000000000−i2i2−i2i22-200−i2i2−2i2i−i2i2000002−2000
χ482-22-202-2022-2-222-2-2−2i2i0-2-200220000000−i2i22−2−2i2i−2i2i00000022−2−222−2−200000000000000−i2i2−i2i2-2200i2−i22i−2ii2−i200000−22000
χ4944444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-41−51+5−1+5−1−51−51+5−1+5−1−540-400000000001−51−51+51+51−51+50000000000−1+5−1−50000000000000000000000000000000000
χ5044444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-41−51+5−1+5−1−51−51+5−1+5−1−5-4040000000000−1+5−1+5−1−5−1−51−51+500000000001−51+50000000000000000000000000000000000
χ5144444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-41+51−5−1−5−1+51+51−5−1−5−1+540-400000000001+51+51−51−51+51−50000000000−1−5−1+50000000000000000000000000000000000
χ5244444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-41+51−5−1−5−1+51+51−5−1−5−1+5-4040000000000−1−5−1−5−1+5−1+51+51−500000000001+51−50000000000000000000000000000000000
χ534444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-4−1+5−1−51−51+5−1+5−1−51−51+50-40000000−1+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+5−1−5-4-4-4−1+5−1−51−51+5−1+5−1−51−51+50400000001−51−51+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+544-4−1−5−1+51+51−5−1−5−1+51+51−50-40000000−1−5−1−5−1+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+5-4-4-4−1−5−1+51+51−5−1−5−1+51+51−50400000001+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
χ624-44-404-40−1+5−1−51−51+5−1+5−1−51−51+54i−4i01−51+500−1+5−1−500000002i2−2i222−22−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000−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+ζ3900000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000
χ634-44-404-40−1+5−1−51−51+5−1+5−1−51−51+54i−4i01−51+500−1+5−1−50000000−2i22i2−2222−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000ζ7−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−ζ3900000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000
χ644-44-404-40−1+5−1−51−51+5−1+5−1−51−51+5−4i4i01−51+500−1+5−1−500000002i2−2i2−22222ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000ζ7−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−ζ3900000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000
χ654-44-404-40−1+5−1−51−51+5−1+5−1−51−51+5−4i4i01−51+500−1+5−1−50000000−2i22i222−222ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000−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+ζ3900000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000
χ664-44-404-40−1−5−1+51+51−5−1−5−1+51+51−54i−4i01+51−500−1−5−1+500000002i2−2i222−22−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000ζ21+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−ζ3700000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000
χ674-44-404-40−1−5−1+51+51−5−1−5−1+51+51−54i−4i01+51−500−1−5−1+50000000−2i22i2−2222−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000−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+ζ3700000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000
χ684-44-404-40−1−5−1+51+51−5−1−5−1+51+51−5−4i4i01+51−500−1−5−1+500000002i2−2i2−22222ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000−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+ζ3700000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000
χ694-44-404-40−1−5−1+51+51−5−1−5−1+51+51−5−4i4i01+51−500−1−5−1+50000000−2i22i222−222ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000ζ21+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−ζ3700000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000
χ704-44-40-44044-4-444-4-40004400-4-40000000000000000000000000000000000000000000000000002i2−2i200−2i22i20000000000
χ714-44-40-44044-4-444-4-40004400-4-4000000000000000000000000000000000000000000000000000−2i22i2002i2−2i20000000000
χ724-4-44400-444-4-4-4-444000004400-4-40002i2−2i2000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ734-4-44400-444-4-4-4-444000004400-4-4000−2i22i200000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ744-4-44400-4−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1−5001−51+50002i2−2i200000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400−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+ζ390000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000
χ754-4-44400-4−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1−5001−51+50002i2−2i2000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400ζ7+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−ζ390000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000
χ764-4-44400-4−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1−5001−51+5000−2i22i200000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400ζ7+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−ζ390000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000
χ774-4-44400-4−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1−5001−51+5000−2i22i2000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400−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+ζ390000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000
χ784-4-44400-4−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1+5001+51−50002i2−2i2000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800−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+ζ370000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000
χ794-4-44400-4−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1+5001+51−50002i2−2i200000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800ζ21−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−ζ370000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000
χ804-4-44400-4−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1+5001+51−5000−2i22i2000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800ζ21−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−ζ370000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000
χ814-4-44400-4−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1+5001+51−5000−2i22i200000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800−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+ζ370000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000
χ824-4-44-400444-4-4-4-44400000-4-40044000000000000000000000000000000000000000000000004-40000000000000000
χ834-4-44-400444-4-4-4-44400000-4-4004400000000000000000000000000000000000000000000000-440000000000000000
χ8488-8-800008888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-80000−2+25−2−25−2+25−2−252−252+252−252+250000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ8688-8-80000−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ8788-8-80000−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ8888-8-80000−2−25−2+25−2−25−2+252+252−252+252−250000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ898-88-80-880−2+25−2−252−252+25−2+25−2−252−252+25000−2+25−2−25002−252+250000000000000000000000000000000000000000000000000000000000000000000
χ908-88-80-880−2−25−2+252+252−25−2−25−2+252+252−25000−2−25−2+25002+252−250000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-8008−2+25−2−252−252+252−252+25−2+25−2−25000002−252+2500−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-8008−2−25−2+252+252−252+252−25−2−25−2+25000002+252−2500−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.