Finite Group Databasebeta

← Group #10613759

Character table — Group #10613759

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11222222222222222224444444444444444444444444444444888810101010161616161616161620202020202040404040
order12244558810101010101016161616816162020202040404040404040408080808080808080808080808080808044442244202020202020202088161616162244
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
χ5111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11-11-1
χ6111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11
χ7111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-11
χ8111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-11-1
χ911-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11-111-1-111-1-1
χ1011-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-11-1-111-1-111
χ1111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-1111-111-1-1-1-111
χ1211-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-11-1-11111-1-1
χ1311-1-111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-11-111-1-1-1-1111-1-1-1111-1-11
χ1411-1-111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-11-1111-1-1-1-111-1111-1-1-111-1
χ1511-1-111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11-11-1-1-11111-1-11-1-1-111-111-1
χ1611-1-111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-11-11-1-11111-1-1-1111-1-11-1-11
χ172222222-2-22222220000-2002222-2-2-2-2-2-2-2-200000000000000000000222200000000-2-200000000
χ182222222-2-22222220000-2002222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2000000002200000000
χ1922222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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
χ2022222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
χ2122222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2−1+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
χ2222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2−1+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
χ2322222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
χ2422222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
χ2522222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1+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
χ2622222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1+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
χ27222-2-2220022222222−2−202−2-2-2-2-20000000022−2−222−2−222−2−222−2−200002-2-2200000000002−22−20000
χ28222-2-2220022222222−2−202−2-2-2-2-20000000022−2−222−2−222−2−222−2−20000-222-20000000000−22−220000
χ29222-2-22200222222−2−2220−22-2-2-2-200000000−2−222−2−222−2−222−2−22200002-2-220000000000−22−220000
χ30222-2-22200222222−2−2220−22-2-2-2-200000000−2−222−2−222−2−222−2−2220000-222-200000000002−22−20000
χ3122-22-22200-2-2-2-22222−2−20−2222-2-20000000022−2−222−2−2−2−222−2−222000022-2-200000000002−2−220000
χ3222-22-22200-2-2-2-22222−2−20−2222-2-20000000022−2−222−2−2−2−222−2−2220000-2-2220000000000−222−20000
χ3322-22-22200-2-2-2-222−2−22202−222-2-200000000−2−222−2−22222−2−222−2−2000022-2-20000000000−222−20000
χ3422-22-22200-2-2-2-222−2−22202−222-2-200000000−2−222−2−22222−2−222−2−20000-2-22200000000002−2−220000
χ3522-2-2222-2-2-2-2-2-2220000200-2-2222222-2-2-2-2000000000000000000002-22-200000000-2200000000
χ3622-2-2222-2-2-2-2-2-2220000200-2-2222222-2-2-2-200000000000000000000-22-22000000002-200000000
χ3722-2-22−1+52−1−52221−521−521+521+52−1+52−1−522222-2-2-21−521+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
χ3822-2-22−1+52−1−52221−521−521+521+52−1+52−1−522222-2-2-21−521+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
χ3922-2-22−1+52−1−52221−521−521+521+52−1+52−1−52-2-2-2-2-2221−521+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
χ4022-2-22−1+52−1−52221−521−521+521+52−1+52−1−52-2-2-2-2-2221−521+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
χ4122-2-22−1−52−1+52221+521+521−521−52−1−52−1+522222-2-2-21+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
χ4222-2-22−1−52−1+52221+521+521−521−52−1−52−1+522222-2-2-21+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
χ4322-2-22−1−52−1+52221+521+521−521−52−1−52−1+52-2-2-2-2-2221+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
χ4422-2-22−1−52−1+52221+521+521−521−52−1−52−1+52-2-2-2-2-2221+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
χ4544444−1+5−1−5-4-4−1+5−1+5−1−5−1−5−1+5−1−50000-400−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000000000000000000000000000000000000000
χ4644444−1−5−1+5-4-4−1−5−1−5−1+5−1+5−1−5−1+50000-400−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000000000000000000000000000000000000000
χ47444-4-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−52222−22−22022−221−51+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
χ48444-4-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−5−22−2222220−22221−51+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
χ49444-4-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+52222−22−22022−221+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
χ50444-4-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+5−22−2222220−22221+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
χ5144-44-4−1+5−1−5001−51−51+51+5−1+5−1−52222−22−220−2222−1+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
χ5244-44-4−1+5−1−5001−51−51+51+5−1+5−1−5−22−222222022−22−1+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
χ5344-44-4−1−5−1+5001+51+51−51−5−1−5−1+52222−22−220−2222−1−5−1+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
χ5444-44-4−1−5−1+5001+51+51−51−5−1−5−1+5−22−222222022−22−1−5−1+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
χ5544-4-44−1+5−1−5-4-41−51−51+51+5−1+5−1−500004001−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000
χ5644-4-44−1−5−1+5-4-41+51+51−51−5−1−5−1+500004001+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000
χ574-40004422−220000-4-42ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000000000022−2222−222ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ770000000000000000000000000000000000
χ584-40004422−220000-4-4−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000022−2222−22−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ770000000000000000000000000000000000
χ594-400044−22220000-4-4−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ7900000000000−2222−2222−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ790000000000000000000000000000000000
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χ744-4000−1−5−1+5−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ790000000−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+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+ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ7900000000000000000000000000
χ754-4000−1−5−1+5−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ790000000ζ42−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−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+ζ77−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ7900000000000000000000000000
χ764-4000−1−5−1+5−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−52ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ790000000ζ42−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+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−ζ77ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ7900000000000000000000000000

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