Finite Group Databasebeta

← Group #10602289

Character table — Group #10602289

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11112222222222222244444444444444444444444444444444888810101010161616161616161620202020202040404040
order122244558888101010101010161616162020202040404040404040408080808080808080808080808080808044444444202020202020202088161616164444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ911-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1ii−i−i11-1-111-1-1i−iii−i−ii−ii−i
χ1011-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1−i−iii11-1-111-1-1−ii−i−iii−ii−ii
χ1111-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11ii−i−i-1-111-1-111i−iii−i−i−ii−ii
χ1211-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11−i−iii-1-111-1-111−ii−i−iiii−ii−i
χ1311-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11ii−i−i11-1-1-1-111i−i−i−iiii−i−ii
χ1411-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11−i−iii11-1-1-1-111−iiii−i−i−iii−i
χ1511-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1ii−i−i-1-11111-1-1i−i−i−iii−iii−i
χ1611-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1−i−iii-1-11111-1-1−iiii−i−ii−i−ii
χ1722222222-2-2-2-222222200002222-2-2-2-2-2-2-2-200000000000000000000222200000000-2-200000000
χ1822222222-2-2-2-222222200002222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2000000002200000000
χ19222222−1+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+52−1−52−1−52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ20222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+520000000000
χ21222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+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+520000000000
χ22222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+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+52−1−520000000000
χ23222222−1−52−1+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+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ24222222−1−52−1+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+52-2-2-2-200001+521−521+521−521+521−521+521−520000000000
χ25222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+521−520000000000
χ26222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+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+520000000000
χ272222-2-22200002222222−22−2-2-2-2-20000000022−2−222−2−222−2−222−2−200002-22-200000000002−22−20000
χ282222-2-22200002222222−22−2-2-2-2-20000000022−2−222−2−222−2−222−2−20000-22-220000000000−22−220000
χ292222-2-2220000222222−22−22-2-2-2-200000000−2−222−2−222−2−222−2−22200002-22-20000000000−22−220000
χ302222-2-2220000222222−22−22-2-2-2-200000000−2−222−2−222−2−222−2−2220000-22-2200000000002−22−20000
χ3122-2-22-222-2-222-2-2-2-2220000-2-2222222-2-2-2-2000000000000000000002i2i−2i−2i00000000−2i2i00000000
χ3222-2-22-222-2-222-2-2-2-2220000-2-2222222-2-2-2-200000000000000000000−2i−2i2i2i000000002i−2i00000000
χ3322-2-22-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−5222-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ3422-2-22-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−5222-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ3522-2-22-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−52-2-2221−521+52−1+52−1−521−521−521+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+52−1−52−1−52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ3622-2-22-2−1+52−1−5222-2-21−521−521+521+52−1+52−1−52-2-2221−521+52−1+52−1−521−521−521+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+52−1−52−1−52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ3722-2-22-2−1−52−1+5222-2-21+521+521−521−52−1−52−1+5222-2-21+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+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+521−520000000000
χ3822-2-22-2−1−52−1+5222-2-21+521+521−521−52−1−52−1+5222-2-21+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+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+520000000000
χ3922-2-22-2−1−52−1+5222-2-21+521+521−521−52−1−52−1+52-2-2221+521−52−1−52−1+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+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ4022-2-22-2−1−52−1+5222-2-21+521+521−521−52−1−52−1+52-2-2221+521−52−1−52−1+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+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ4122-2-2-22220000-2-2-2-2222−2−2222-2-20000000022−2−222−2−2−2−222−2−22200002i−2i−2i2i0000000000i2−i2−i2i20000
χ4222-2-2-22220000-2-2-2-2222−2−2222-2-20000000022−2−222−2−2−2−222−2−2220000−2i2i2i−2i0000000000−i2i2i2−i20000
χ4322-2-2-22220000-2-2-2-222−222−222-2-200000000−2−222−2−22222−2−222−2−200002i−2i−2i2i0000000000−i2i2i2−i20000
χ4422-2-2-22220000-2-2-2-222−222−222-2-200000000−2−222−2−22222−2−222−2−20000−2i2i2i−2i0000000000i2−i2−i2i20000
χ45444444−1+5−1−5-4-4-4-4−1+5−1+5−1−5−1−5−1+5−1−50000−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000000000000000000000000000000000000000
χ46444444−1−5−1+5-4-4-4-4−1−5−1−5−1+5−1+5−1−5−1+50000−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000000000000000000000000000000000000000
χ474444-4-4−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−522−2222−221−51+51−51+500000000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000000000
χ484444-4-4−1+5−1−50000−1+5−1+5−1−5−1−5−1+5−1−5−2222−22221−51+51−51+500000000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000000000
χ494444-4-4−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+522−2222−221+51−51+51−500000000ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ7400000000000000000000000000
χ504444-4-4−1−5−1+50000−1−5−1−5−1+5−1+5−1−5−1+5−2222−22221+51−51+51−500000000−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ7400000000000000000000000000
χ5144-4-44-4−1+5−1−5-4-4441−51−51+51+5−1+5−1−500001−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000
χ5244-4-44-4−1−5−1+5-4-4441+51+51−51−5−1−5−1+500001+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000
χ5344-4-4-44−1+5−1−500001−51−51+51+5−1+5−1−522−22−2222−1+5−1−51−51+500000000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000000000
χ5444-4-4-44−1+5−1−500001−51−51+51+5−1+5−1−5−222222−22−1+5−1−51−51+500000000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000000000
χ5544-4-4-44−1−5−1+500001+51+51−51−5−1−5−1+522−22−2222−1−5−1+51+51−500000000ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ7400000000000000000000000000
χ5644-4-4-44−1−5−1+500001+51+51−51−5−1−5−1+5−222222−22−1−5−1+51+51−500000000−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ7400000000000000000000000000
χ574-44-4004422−2222−224-44-4-4-40000000022−2222−2222−2222−22000000000000000000000000000000000000000000
χ584-44-40044−2222−22224-44-4-4-400000000−2222−2222−2222−2222000000000000000000000000000000000000000000
χ594-44-400−1+5−1−522−2222−22−1+51−5−1−51+51−51+500000000−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ7300000000000000000000000000
χ604-44-400−1+5−1−522−2222−22−1+51−5−1−51+51−51+500000000−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ7300000000000000000000000000
χ614-44-400−1+5−1−5−2222−2222−1+51−5−1−51+51−51+500000000ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ7700000000000000000000000000
χ624-44-400−1+5−1−5−2222−2222−1+51−5−1−51+51−51+500000000ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ7700000000000000000000000000
χ634-44-400−1−5−1+522−2222−22−1−51+5−1+51−51+51−500000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ7900000000000000000000000000
χ644-44-400−1−5−1+522−2222−22−1−51+5−1+51−51+51−500000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ7900000000000000000000000000
χ654-44-400−1−5−1+5−2222−2222−1−51+5−1+51−51+51−500000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ6100000000000000000000000000
χ664-44-400−1−5−1+5−2222−2222−1−51+5−1+51−51+51−500000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ6100000000000000000000000000
χ674-4-44004422−22−2222-44-44-4-400000000−2222−222222−2222−22000000000000000000000000000000000000000000
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χ714-4-4400−1+5−1−5−222222−221−5−1+51+5−1−51−51+500000000−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ7700000000000000000000000000
χ724-4-4400−1+5−1−5−222222−221−5−1+51+5−1−51−51+500000000−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ7700000000000000000000000000
χ734-4-4400−1−5−1+522−22−22221+5−1−51−5−1+51+51−500000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ7900000000000000000000000000
χ744-4-4400−1−5−1+522−22−22221+5−1−51−5−1+51+51−500000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ7900000000000000000000000000
χ754-4-4400−1−5−1+5−222222−221+5−1−51−5−1+51+51−500000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ6100000000000000000000000000
χ764-4-4400−1−5−1+5−222222−221+5−1−51−5−1+51+51−500000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ6100000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.