Finite Group Databasebeta

← Group #10602002

Character table — Group #10602002

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size11112222222222222222444444444444444444444444444444416161616161616161616202020202020202040404040
order1222444455888810101010101048820202020202020202020202040404040404040404040404040404040241010101020202020444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111
χ81111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1
χ922222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ1022222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000
χ1122222222−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ1222222222−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ1322222222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ1422222222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000000000
χ1522222222−1−52−1+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+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ1622222222−1−52−1+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+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ1722222-2-22220000222222-200-2-2-2-22222-2-2-2-20000000000000000000000000022-2-200000000
χ1822222-2-22220000222222-200-2-2-2-22222-2-2-2-200000000000000000000000000-2-22200000000
χ192222-222-2222222222222-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-20000000000000000000000
χ202222-222-222-2-2-2-2222222-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000
χ212222-222-2−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ222222-222-2−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ232222-222-2−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ242222-222-2−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ252222-222-2−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ262222-222-2−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ272222-222-2−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+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+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ282222-222-2−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+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+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ292222-2-2-2-22200002222222002222-2-2-2-2-2-2-2-20000000000000000000000000000002i2i−2i−2i0000
χ302222-2-2-2-22200002222222002222-2-2-2-2-2-2-2-2000000000000000000000000000000−2i−2i2i2i0000
χ3122-2-20-220222i2i−2i−2i2-22-2-2-2000000000002-22-22i2i−2i−2i00002i2i−2i−2i0000000000000000000000i2−i22−2
χ3222-2-20-220222i2i−2i−2i2-22-2-2-2000000000002-22-22i2i−2i−2i00002i2i−2i−2i0000000000000000000000−i2i2−22
χ3322-2-20-22022−2i−2i2i2i2-22-2-2-2000000000002-22-2−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000i2−i2−22
χ3422-2-20-22022−2i−2i2i2i2-22-2-2-2000000000002-22-2−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000−i2i22−2
χ352-2-22200-2222−22−2-2-2-2-22202−200002-22-200002−22−222−2−22−22−222−2−200000000002i−2i00i2−i2i2−i20000
χ362-2-22200-2222−22−2-2-2-2-22202−200002-22-200002−22−222−2−22−22−222−2−20000000000−2i2i00−i2i2−i2i20000
χ372-2-22200-222−22−22-2-2-2-2220−2200002-22-20000−22−22−2−222−22−22−2−22200000000002i−2i00−i2i2−i2i20000
χ382-2-22200-222−22−22-2-2-2-2220−2200002-22-20000−22−22−2−222−22−22−2−2220000000000−2i2i00i2−i2i2−i20000
χ392-2-22-2002222−22−2-2-2-2-2220−220000-22-2200002−22−2−2−2222−22−2−2−2220000000000002-22−2−220000
χ402-2-22-2002222−22−2-2-2-2-2220−220000-22-2200002−22−2−2−2222−22−2−2−222000000000000-22−222−20000
χ412-2-22-200222−22−22-2-2-2-22202−20000-22-220000−22−2222−2−2−22−2222−2−20000000000002-2−222−20000
χ422-2-22-200222−22−22-2-2-2-22202−20000-22-220000−22−2222−2−2−22−2222−2−2000000000000-222−2−220000
χ4344444-4-44−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−5-4001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000
χ4444444-4-44−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+5-4001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000
χ454444-4-4-4-4−1+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+500000000000000000000000000000000000000
χ464444-4-4-4-4−1−5−1+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+51−51−500000000000000000000000000000000000000
χ4744-4-404-404400004-44-4-4-400000000000-44-4400000000000000000000000000000000000000
χ4844-4-404-40−1+5−1−50000−1+51−5−1−51+51−51+5000000000001−5−1+51+5−1−50000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ3800002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000
χ4944-4-404-40−1+5−1−50000−1+51−5−1−51+51−51+5000000000001−5−1+51+5−1−500002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ380000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000
χ5044-4-404-40−1−5−1+50000−1−51+5−1+51−51+51−5000000000001+5−1−51−5−1+500002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000
χ5144-4-404-40−1−5−1+50000−1−51+5−1+51−51+51−5000000000001+5−1−51−5−1+50000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000
χ5244-4-40-440−1+5−1−54i4i−4i−4i−1+51−5−1−51+51−51+500000000000−1+51−5−1−51+5−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ380000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ1400000000000000000000000000
χ5344-4-40-440−1+5−1−5−4i−4i4i4i−1+51−5−1−51+51−51+500000000000−1+51−5−1−51+52ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ1400000000000000000000000000
χ5444-4-40-440−1−5−1+54i4i−4i−4i−1−51+5−1+51−51+51−500000000000−1−51+5−1+51−5−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ3800000000000000000000000000
χ5544-4-40-440−1−5−1+5−4i−4i4i4i−1−51+5−1+51−51+51−500000000000−1−51+5−1+51−52ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ1400002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800000000000000000000000000
χ564-44-40000442i2−2i2−2i22i2-44-44-4-40000000000000002i2−2i2−2i22i200002i2−2i2−2i22i200000000000000000000000000
χ574-44-4000044−2i22i22i2−2i2-44-44-4-4000000000000000−2i22i22i2−2i20000−2i22i22i2−2i200000000000000000000000000
χ584-44-40000−1+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+ζ37ζ7−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−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000
χ594-44-40000−1+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+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000
χ604-44-40000−1+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−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−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000
χ614-44-40000−1+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−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000
χ624-44-40000−1−5−1+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+ζ39ζ21−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+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000
χ634-44-40000−1−5−1+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+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000
χ644-44-40000−1−5−1+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−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−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000
χ654-44-40000−1−5−1+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−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000
χ664-4-44400-4−1+5−1−522−2222−221−51−51+51+5−1+5−1−5022−220000−1+51−5−1−51+50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ674-4-44400-4−1+5−1−5−2222−22221−51−51+51+5−1+5−1−50−22220000−1+51−5−1−51+50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
χ684-4-44400-4−1−5−1+522−2222−221+51+51−51−5−1−5−1+5022−220000−1−51+5−1+51−50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000
χ694-4-44400-4−1−5−1+5−2222−22221+51+51−51−5−1−5−1+50−22220000−1−51+5−1+51−50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000
χ704-4-44-4004−1+5−1−522−2222−221−51−51+51+5−1+5−1−50−222200001−5−1+51+5−1−50000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
χ714-4-44-4004−1+5−1−5−2222−22221−51−51+51+5−1+5−1−5022−2200001−5−1+51+5−1−50000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ724-4-44-4004−1−5−1+522−2222−221+51+51−51−5−1−5−1+50−222200001+5−1−51−5−1+50000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000
χ734-4-44-4004−1−5−1+5−2222−22221+51+51−51−5−1−5−1+5022−2200001+5−1−51−5−1+50000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000

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