Finite Group Databasebeta

← Group #10602088

Character table — Group #10602088

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1122222222222222244444444444444444444444444444444161616161616161616164040404040404040
order12244558888101010101010448820202020202020202020202040404040404040404040404040404040221010101010101010248816161616
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1
χ61111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111
χ71111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111
χ81111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1
χ9222222222-2-2222222-2-2-22-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222000000000000000000
χ102222222-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000
χ1122222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−5200000000
χ1222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+5200000000
χ1322222−1+52−1−5222-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ1422222−1+52−1−5222-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ1522222−1+52−1−52-2-222−1+52−1+52−1+52−1−52−1−52−1−52-2-22-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1622222−1+52−1−52-2-222−1+52−1+52−1+52−1−52−1−52−1−52-2-22-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1722222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+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+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ1822222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+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+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ1922222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+5200000000
χ2022222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+521−521−5200000000
χ2122222−1−52−1+5222-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1+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+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ2222222−1−52−1+5222-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1+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+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ2322222−1−52−1+52-2-222−1−52−1−52−1−52−1+52−1+52−1+52-2-22-21+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+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ2422222−1−52−1+52-2-222−1−52−1−52−1−52−1+52−1+52−1+52-2-22-21+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+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ2522222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ2622222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ2722-22-22200222-2-22-2-200-20000000002-22-222-2-222-2-20000000000000000002-2000000
χ2822-22-22200222-2-22-2-200-20000000002-22-222-2-222-2-2000000000000000000-22000000
χ2922-22-22200-2-22-2-22-2-20020000000002-22-2-2-222-2-222000000000000000000002i−2i0000
χ3022-22-22200-2-22-2-22-2-20020000000002-22-2-2-222-2-22200000000000000000000−2i2i0000
χ3122-2-222222002-2-22-2-2000-200000000-22-220000000022-2-222-2-2000000000000002−22−2
χ3222-2-222222002-2-22-2-2000-200000000-22-220000000022-2-222-2-200000000000000−22−22
χ3322-2-2222-2-2002-2-22-2-2000200000000-22-2200000000-2-222-2-222000000000000002−2−22
χ3422-2-2222-2-2002-2-22-2-2000200000000-22-2200000000-2-222-2-22200000000000000−222−2
χ35444-4-4440000444444000000000000-4-4-4-40000000000000000000000000000000000
χ36444-4-4−1+5−1−50000−1+5−1+5−1+5−1−5−1−5−1−500002ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ28−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ361−51−51+51+50000000000000000000000000000000000
χ37444-4-4−1+5−1−50000−1+5−1+5−1+5−1−5−1−5−1−50000−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ282ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ361−51−51+51+50000000000000000000000000000000000
χ38444-4-4−1−5−1+50000−1−5−1−5−1−5−1+5−1+5−1+50000−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ281+51+51−51−50000000000000000000000000000000000
χ39444-4-4−1−5−1+50000−1−5−1−5−1−5−1+5−1+5−1+500002ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ281+51+51−51−50000000000000000000000000000000000
χ4044-44-4−1+5−1−50044−1+51−51−5−1−51+51+500-4000000000−1+51−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000
χ4144-44-4−1+5−1−500-4-4−1+51−51−5−1−51+51+5004000000000−1+51−5−1−51+51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000
χ4244-44-4−1−5−1+50044−1−51+51+5−1+51−51−500-4000000000−1−51+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000
χ4344-44-4−1−5−1+500-4-4−1−51+51+5−1+51−51−5004000000000−1−51+5−1+51−51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000
χ4444-4-44−1+5−1−54400−1+51−51−5−1−51+51+5000-4000000001−5−1+51+5−1−500000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000
χ4544-4-44−1+5−1−5-4-400−1+51−51−5−1−51+51+50004000000001−5−1+51+5−1−5000000001−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000
χ4644-4-44−1−5−1+54400−1−51+51+5−1+51−51−5000-4000000001+5−1−51−5−1+500000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000
χ4744-4-44−1−5−1+5-4-400−1−51+51+5−1+51−51−50004000000001+5−1−51−5−1+5000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000
χ484-40004422−2222−22-400-4002-2002-22-22-22-2000022−220022−220022−220022−2200000000000000000000
χ494-40004422−22−2222-400-400-2200-22-22-22-220000−222200−22220022−220022−2200000000000000000000
χ504-400044−222222−22-400-400-2200-22-22-22-22000022−220022−2200−222200−222200000000000000000000
χ514-400044−2222−2222-400-4002-2002-22-22-22-20000−222200−222200−222200−222200000000000000000000
χ524-4000−1+5−1−522−2222−221−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ362-200−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000−ζ7+ζ13−ζ23+ζ37ζ7−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+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000
χ534-4000−1+5−1−522−2222−221−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ362-200−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000−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−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−ζ39000000000000000000
χ544-4000−1+5−1−522−22−22221−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ36-22002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000ζ7−ζ13+ζ23−ζ37−ζ7+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+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000
χ554-4000−1+5−1−522−22−22221−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ36-22002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000ζ7−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−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000
χ564-4000−1+5−1−5−222222−221−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ36-22002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000−ζ7+ζ13−ζ23+ζ37ζ7−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−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000
χ574-4000−1+5−1−5−222222−221−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ36-22002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000−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+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000000
χ584-4000−1+5−1−5−2222−22221−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ362-200−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000ζ7−ζ13+ζ23−ζ37−ζ7+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−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000000
χ594-4000−1+5−1−5−2222−22221−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ362-200−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000ζ7−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+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+ζ39000000000000000000
χ604-4000−1−5−1+522−2222−221+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ282-200−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000ζ21+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−ζ37ζ21+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−ζ37000000000000000000
χ614-4000−1−5−1+522−2222−221+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282-200−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000ζ21+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+ζ37ζ21+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+ζ37000000000000000000
χ624-4000−1−5−1+522−22−22221+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28-22002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000−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+ζ37ζ21+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−ζ37000000000000000000
χ634-4000−1−5−1+522−22−22221+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ28-22002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000−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−ζ37ζ21+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+ζ37000000000000000000
χ644-4000−1−5−1+5−222222−221+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ28-22002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000ζ21+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−ζ37−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+ζ37000000000000000000
χ654-4000−1−5−1+5−222222−221+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ28-22002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000ζ21+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+ζ37−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−ζ37000000000000000000
χ664-4000−1−5−1+5−2222−22221+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ282-200−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000−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+ζ37−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+ζ37000000000000000000
χ674-4000−1−5−1+5−2222−22221+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ282-200−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000−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−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−ζ37000000000000000000

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