Finite Group Databasebeta

← Group #10612413

Character table — Group #10612413

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111222222222222222244444444444444444444444444444448888101010101616161616161616202020202020202020204040
order1222444455888810101010101028810101010202020202020202040404040404040404040404040404040244444441010202020202020222444888844
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ51111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1111-1-1-1-11-1
χ61111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-11
χ71111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-11
χ81111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1
χ91111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-11111111-1-1-1-1
χ101111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-11-1-1-1-1-1-1-11111
χ111111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-11-1-111-1-111
χ121111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111111-111-1-111-1-1
χ131111-1-11111-1-1-1-1111111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-111-1-1-1111-1-111-11
χ141111-1-11111-1-1-1-1111111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-111111-1-1-111-1-11-1
χ151111-1-11111-1-1-1-1111111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-1-1111-1-1-1-1111-1
χ161111-1-11111-1-1-1-1111111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-11-1-1-11111-1-1-11
χ1722222222−1+52−1−522222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ1822222222−1+52−1−522222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+52000000000000
χ1922222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ2222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+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+52-2-2-2-200001+521−521+521−521+521−521+521−52000000000000
χ2322222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2422222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+522-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ25222222-2-2220000222222-200-2-2-2-2-2-22222-2-200000000000000000000222200000000-200-200000000
χ26222222-2-2220000222222-200-2-2-2-2-2-22222-2-200000000000000000000-2-2-2-200000000200200000000
χ272222-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ282222-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ292222-2-222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ302222-2-222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ312222-2-222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ322222-2-222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ332222-2-222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ342222-2-222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ352222-2-2-2-22200002222222002222-2-2-2-2-2-2-2-20000000000000000000022-2-200000000200-200000000
χ362222-2-2-2-22200002222222002222-2-2-2-2-2-2-2-200000000000000000000-2-22200000000-200200000000
χ3722-2-22i−2i002222−2−22-22-2-2-20i2−i20000002i−2i2i−2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-22i−2i000000000000002−2i2−i200
χ3822-2-22i−2i002222−2−22-22-2-2-20i2−i20000002i−2i2i−2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-22−2i2i00000000000000−22−i2i200
χ3922-2-22i−2i0022−2−2222-22-2-2-20−i2i20000002i−2i2i−2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-22i−2i00000000000000−22−i2i200
χ4022-2-22i−2i0022−2−2222-22-2-2-20−i2i20000002i−2i2i−2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-22−2i2i000000000000002−2i2−i200
χ4122-2-2−2i2i002222−2−22-22-2-2-20−i2i2000000−2i2i−2i2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-2−2i2i000000000000002−2−i2i200
χ4222-2-2−2i2i002222−2−22-22-2-2-20−i2i2000000−2i2i−2i2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-222i−2i00000000000000−22i2−i200
χ4322-2-2−2i2i0022−2−2222-22-2-2-20i2−i2000000−2i2i−2i2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-2−2i2i00000000000000−22i2−i200
χ4422-2-2−2i2i0022−2−2222-22-2-2-20i2−i2000000−2i2i−2i2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-222i−2i000000000000002−2−i2i200
χ452-2-22002-2222i−2i2i−2i-2-2-2-2220000000220000-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000002-202i−2i000000
χ462-2-22002-2222i−2i2i−2i-2-2-2-2220000000220000-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000-220−2i2i000000
χ472-2-22002-222−2i2i−2i2i-2-2-2-2220000000220000-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000002-20−2i2i000000
χ482-2-22002-222−2i2i−2i2i-2-2-2-2220000000220000-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000-2202i−2i000000
χ49444444-4-4−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−5-4001−51−51+51+51−51+5−1+5−1+5−1−5−1−51−51+500000000000000000000000000000000000000000000
χ50444444-4-4−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+5-4001+51+51−51−51+51−5−1−5−1−5−1+5−1+51+51−500000000000000000000000000000000000000000000
χ514444-4-4-4-4−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−5400−1+5−1+5−1−5−1−51−51+51−51−51+51+51−51+500000000000000000000000000000000000000000000
χ524444-4-4-4-4−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+5400−1−5−1−5−1+5−1+51+51−51+51+51−51−51+51−500000000000000000000000000000000000000000000
χ5344-4-44i−4i00−1+5−1−52222−22−22−1+51−5−1−51+51−51+502i2−2i2000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400−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+ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000000
χ5444-4-44i−4i00−1+5−1−5−22−222222−1+51−5−1−51+51−51+50−2i22i2000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400ζ7−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−ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000000000
χ5544-4-44i−4i00−1−5−1+52222−22−22−1−51+5−1+51−51+51−502i2−2i2000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800ζ21+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−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000
χ5644-4-44i−4i00−1−5−1+5−22−222222−1−51+5−1+51−51+51−50−2i22i2000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800−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+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000
χ5744-4-4−4i4i00−1+5−1−52222−22−22−1+51−5−1−51+51−51+50−2i22i20000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400−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+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000000000
χ5844-4-4−4i4i00−1+5−1−5−22−222222−1+51−5−1−51+51−51+502i2−2i20000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400ζ7−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−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000000
χ5944-4-4−4i4i00−1−5−1+52222−22−22−1−51+5−1+51−51+51−50−2i22i20000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800ζ21+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−ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000
χ6044-4-4−4i4i00−1−5−1+5−22−222222−1−51+5−1+51−51+51−502i2−2i20000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800−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+ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000
χ614-44-40000442i2−2i2−2i22i2-44-44-4-40000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ624-44-4000044−2i22i22i2−2i2-44-44-4-4000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ634-44-40000−1+5−1−52i2−2i2−2i22i21−5−1+51+5−1−51−51+50002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000000000
χ644-44-40000−1+5−1−52i2−2i2−2i22i21−5−1+51+5−1−51−51+5000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000000000
χ654-44-40000−1+5−1−5−2i22i22i2−2i21−5−1+51+5−1−51−51+50002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000000000
χ664-44-40000−1+5−1−5−2i22i22i2−2i21−5−1+51+5−1−51−51+5000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000000000
χ674-44-40000−1−5−1+52i2−2i2−2i22i21+5−1−51−5−1+51+51−5000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000
χ684-44-40000−1−5−1+52i2−2i2−2i22i21+5−1−51−5−1+51+51−50002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000
χ694-44-40000−1−5−1+5−2i22i22i2−2i21+5−1−51−5−1+51+51−5000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000
χ704-44-40000−1−5−1+5−2i22i22i2−2i21+5−1−51−5−1+51+51−50002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000
χ714-4-44004-4−1+5−1−54i−4i4i−4i1−51−51+51+5−1+5−1−50000000−1+5−1−500001−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000
χ724-4-44004-4−1+5−1−5−4i4i−4i4i1−51−51+51+5−1+5−1−50000000−1+5−1−500001−51+52ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000
χ734-4-44004-4−1−5−1+54i−4i4i−4i1+51+51−51−5−1−5−1+50000000−1−5−1+500001+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ744-4-44004-4−1−5−1+5−4i4i−4i4i1+51+51−51−5−1−5−1+50000000−1−5−1+500001+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ754-4-4400-44440000-4-4-4-4440000000-4-400004400000000000000000000000000000000000000000000
χ764-4-4400-44−1+5−1−500001−51−51+51+5−1+5−1−500000001−51+50000−1+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000
χ774-4-4400-44−1+5−1−500001−51−51+51+5−1+5−1−500000001−51+50000−1+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000
χ784-4-4400-44−1−5−1+500001+51+51−51−5−1−5−1+500000001+51−50000−1−5−1+500000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000
χ794-4-4400-44−1−5−1+500001+51+51−51−5−1−5−1+500000001+51−50000−1−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000

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