Finite Group Databasebeta

← Group #14512805

Character table — Group #14512805

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111226688888888121212121224242222441212161616161616161624242424244848222244121216161616161616162424242424484855551010303040404040404040406060606060120120
order122244443666121212124888844510101020202020153030306060606020404040402020510101020202020153030306060606020404040402020222244446666121212124888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1
χ41111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11
χ522222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000
χ62222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000
χ722-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−200
χ822-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−2200
χ922-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−2200
χ1022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−200
χ112-2-2200-2222-2-2000000000002-2-2200-2222-2-2000000000002-2-2200-2222-2-2000000000002-2-2200-2222-2-200000000000
χ122-2-2200-22-1-1113−33−300000002-2-2200-22-1-1113−33−300000002-2-2200-22-1-1113−33−300000002-2-2200-22-1-1113−33−30000000
χ132-2-2200-22-1-111−33−3300000002-2-2200-22-1-111−33−3300000002-2-2200-22-1-111−33−3300000002-2-2200-22-1-111−33−330000000
χ14333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1
χ15333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111
χ163333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11
χ173333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1
χ1844-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-1110000000
χ1944-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-10000000
χ204-44-400001-11-13−3−3300000004-44-400001-11-13−3−3300000004-44-400001-11-13−3−3300000004-44-400001-11-13−3−330000000
χ214-44-400001-11-1−333−300000004-44-400001-11-1−333−300000004-44-400001-11-1−333−300000004-44-400001-11-1−333−30000000
χ224-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-2200000000000
χ236-6-66002-20000000000000006-6-66002-20000000000000006-6-66002-20000000000000006-6-66002-2000000000000000
χ24111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-111111-1-111-11
χ271111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111111-1-11-1
χ2822222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000-2-2-2-2-2-2-2-211111111-2000000
χ292222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000-2-2-2-222-2-21111-1-1-1-12000000
χ3022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−200-2-222-22001-1-11-1-1110−22−2200
χ3122-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−2200-2-222-22001-1-11-1-11102−22−200
χ3222-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−2200-2-2222-2001-1-1111-1-10−222−200
χ3322-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−200-2-2222-2001-1-1111-1-102−2−2200
χ342-2-2200-2222-2-2000000000002-2-2200-2222-2-2000000000002-2-2200-2222-2-200000000000-222-2002-2-2-22200000000000
χ352-2-2200-22-1-1113−33−300000002-2-2200-22-1-1113−33−300000002-2-2200-22-1-1113−33−30000000-222-2002-211-1-1−33−330000000
χ362-2-2200-22-1-111−33−3300000002-2-2200-22-1-111−33−3300000002-2-2200-22-1-111−33−330000000-222-2002-211-1-13−33−30000000
χ37333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1-3-3-3-3-3-311000000001-1-1-1-111
χ38333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111-3-3-3-3-3-3110000000011111-1-1
χ393333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11-3-3-3-3331100000000-1-1-1111-1
χ403333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1-3-3-3-3331100000000-111-1-1-11
χ4144-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-1110000000-4-444-4400-111-111-1-10000000
χ4244-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-10000000-4-4444-400-111-1-1-1110000000
χ434-44-400001-11-13−3−3300000004-44-400001-11-13−3−3300000004-44-400001-11-13−3−330000000-44-440000-11-11−333−30000000
χ444-44-400001-11-1−333−300000004-44-400001-11-1−333−300000004-44-400001-11-1−333−30000000-44-440000-11-113−3−330000000
χ454-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-2200000000000-44-4400002-22-200000000000
χ466-6-66002-20000000000000006-6-66002-20000000000000006-6-66002-2000000000000000-666-600-22000000000000000
χ4722222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000
χ4822222222222222222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+5200000000000000000000000
χ492222-2-2222222-2-2-2-2-222-2-22-2−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+521+52−1−521+5200000000000000000000000
χ502222-2-2222222-2-2-2-2-2-2-222-22−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52−1−521+52−1−5200000000000000000000000
χ5144444444-2-2-2-2-2-2-2-24000000−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−521−521−521−52−1+5000000−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+521+521+521+52−1−500000000000000000000000000000
χ524444-4-444-2-2-2-22222-4000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−521−521−521−52−1+52−1+52−1+52−1+521−5000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+521+521+521+52−1−52−1−52−1−52−1−521+500000000000000000000000000000
χ5344-4-44-400-222-222-2-2022−2222−2200−1+5−1+51−51−5−1+51−5001−52−1+52−1+521−52−1+52−1+521−521−520ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900−1−5−1−51+51+5−1−51+5001+52−1−52−1−521+52−1−52−1−521+521+520−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000000000000000000000000
χ5444-4-44-400-222-222-2-20−2222−222200−1+5−1+51−51−5−1+51−5001−52−1+52−1+521−52−1+52−1+521−521−520−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900−1−5−1−51+51+5−1−51+5001+52−1−52−1−521+52−1−52−1−521+521+520ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ1030000000000000000000000000
χ5544-4-4-4400-222-2-2-222022−22−222200−1+5−1+51−51−51−5−1+5001−52−1+52−1+521−521−521−52−1+52−1+520ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900−1−5−1−51+51+51+5−1−5001+52−1−52−1−521+521+521+52−1−52−1−520−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ1030000000000000000000000000
χ5644-4-4-4400-222-2-2-2220−222222−2200−1+5−1+51−51−51−5−1+5001−52−1+52−1+521−521−521−52−1+52−1+520−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900−1−5−1−51+51+51+5−1−5001+52−1−52−1−521+521+521+52−1−52−1−520ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000000000000000000000000
χ574-4-4400-4444-4-400000000000−1+51−51−5−1+5001−5−1+5−1+5−1+51−51−500000000000−1−51+51+5−1−5001+5−1−5−1−5−1−51+51+50000000000000000000000000000000000
χ584-4-4400-44-2-22223−2323−230000000−1+51−51−5−1+5001−5−1+51−521−52−1+52−1+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ940000000−1−51+51+5−1−5001+5−1−51+521+52−1−52−1−52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000
χ594-4-4400-44-2-222−2323−23230000000−1+51−51−5−1+5001−5−1+51−521−52−1+52−1+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ940000000−1−51+51+5−1−5001+5−1−51+521+52−1−52−1−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000
χ60666666-2-200000000-22222-2-2−3+352−3+352−3+352−3+352−3+352−3+3521−521−52000000001−52−1+52−1+52−1+52−1+521−521−52−3−352−3−352−3−352−3−352−3−352−3−3521+521+52000000001+52−1−52−1−52−1−52−1−521+521+5200000000000000000000000
χ61666666-2-200000000-2-2-2-2-222−3+352−3+352−3+352−3+352−3+352−3+3521−521−52000000001−521−521−521−521−52−1+52−1+52−3−352−3−352−3−352−3−352−3−352−3−3521+521+52000000001+521+521+521+521+52−1−52−1−5200000000000000000000000
χ626666-6-6-2-200000000222-2-2-22−3+352−3+352−3+352−3+3523−3523−3521−521−5200000000−1+52−1+52−1+521−521−521−52−1+52−3−352−3−352−3−352−3−3523+3523+3521+521+5200000000−1−52−1−52−1−521+521+521+52−1−5200000000000000000000000
χ636666-6-6-2-2000000002-2-2222-2−3+352−3+352−3+352−3+3523−3523−3521−521−5200000000−1+521−521−52−1+52−1+52−1+521−52−3−352−3−352−3−352−3−3523+3523+3521+521+5200000000−1−521+521+52−1−52−1−52−1−521+5200000000000000000000000
χ6488-8-88-8002-2-22-2-2220000000−2+25−2+252−252−25−2+252−2500−1+521−521−52−1+521−521−52−1+52−1+520000000−2−25−2−252+252+25−2−252+2500−1−521+521+52−1−521+521+52−1−52−1−52000000000000000000000000000000
χ6588-8-8-88002-2-2222-2-20000000−2+25−2+252−252−252−25−2+2500−1+521−521−52−1+52−1+52−1+521−521−520000000−2−25−2−252+252+252+25−2−2500−1−521+521+52−1−52−1−52−1−521+521+52000000000000000000000000000000
χ668-88-800002-22-223−23−23230000000−2+252−25−2+252−250000−1+521−52−1+521−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ940000000−2−252+25−2−252+250000−1−521+52−1−521+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000
χ678-88-800002-22-2−232323−230000000−2+252−25−2+252−250000−1+521−52−1+521−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ940000000−2−252+25−2−252+250000−1−521+52−1−521+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000
χ688-88-80000-44-4400000000000−2+252−25−2+252−2500001−5−1+51−5−1+500000000000−2−252+25−2−252+2500001+5−1−51+5−1−50000000000000000000000000000000000
χ6912-12-1212004-4000000000000000−3+353−353−35−3+3500−1+51−5000000000000000−3−353+353+35−3−3500−1−51+500000000000000000000000000000000000000
χ7022222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000
χ7122222222222222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−5200000000000000000000000
χ722222-2-2222222-2-2-2-2-222-2-22-2−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+521+52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−521−52−1+521−5200000000000000000000000
χ732222-2-2222222-2-2-2-2-2-2-222-22−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+52−1−52−1−521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1+52−1+521−52−1+5200000000000000000000000
χ7444444444-2-2-2-2-2-2-2-24000000−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+521+521+521+52−1−5000000−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−521−521−521−52−1+500000000000000000000000000000
χ754444-4-444-2-2-2-22222-4000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+521+521+521+52−1−52−1−52−1−52−1−521+5000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−521−521−521−52−1+52−1+52−1+52−1+521−500000000000000000000000000000
χ7644-4-44-400-222-222-2-2022−2222−2200−1−5−1−51+51+5−1−51+5001+52−1−52−1−521+52−1−52−1−521+521+520−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300−1+5−1+51−51−5−1+51−5001−52−1+52−1+521−52−1+52−1+521−521−520ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000000000000000000000000
χ7744-4-44-400-222-222-2-20−2222−222200−1−5−1−51+51+5−1−51+5001+52−1−52−1−521+52−1−52−1−521+521+520ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300−1+5−1+51−51−5−1+51−5001−52−1+52−1+521−52−1+52−1+521−521−520−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ1190000000000000000000000000
χ7844-4-4-4400-222-2-2-222022−22−222200−1−5−1−51+51+51+5−1−5001+52−1−52−1−521+521+521+52−1−52−1−520−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300−1+5−1+51−51−51−5−1+5001−52−1+52−1+521−521−521−52−1+52−1+520ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ1190000000000000000000000000
χ7944-4-4-4400-222-2-2-2220−222222−2200−1−5−1−51+51+51+5−1−5001+52−1−52−1−521+521+521+52−1−52−1−520ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300−1+5−1+51−51−51−5−1+5001−52−1+52−1+521−521−521−52−1+52−1+520−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000000000000000000000000
χ804-4-4400-4444-4-400000000000−1−51+51+5−1−5001+5−1−5−1−5−1−51+51+500000000000−1+51−51−5−1+5001−5−1+5−1+5−1+51−51−50000000000000000000000000000000000
χ814-4-4400-44-2-22223−2323−230000000−1−51+51+5−1−5001+5−1−51+521+52−1−52−1−52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000−1+51−51−5−1+5001−5−1+51−521−52−1+52−1+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000
χ824-4-4400-44-2-222−2323−23230000000−1−51+51+5−1−5001+5−1−51+521+52−1−52−1−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000−1+51−51−5−1+5001−5−1+51−521−52−1+52−1+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000
χ83666666-2-200000000-22222-2-2−3−352−3−352−3−352−3−352−3−352−3−3521+521+52000000001+52−1−52−1−52−1−52−1−521+521+52−3+352−3+352−3+352−3+352−3+352−3+3521−521−52000000001−52−1+52−1+52−1+52−1+521−521−5200000000000000000000000
χ84666666-2-200000000-2-2-2-2-222−3−352−3−352−3−352−3−352−3−352−3−3521+521+52000000001+521+521+521+521+52−1−52−1−52−3+352−3+352−3+352−3+352−3+352−3+3521−521−52000000001−521−521−521−521−52−1+52−1+5200000000000000000000000
χ856666-6-6-2-200000000222-2-2-22−3−352−3−352−3−352−3−3523+3523+3521+521+5200000000−1−52−1−52−1−521+521+521+52−1−52−3+352−3+352−3+352−3+3523−3523−3521−521−5200000000−1+52−1+52−1+521−521−521−52−1+5200000000000000000000000
χ866666-6-6-2-2000000002-2-2222-2−3−352−3−352−3−352−3−3523+3523+3521+521+5200000000−1−521+521+52−1−52−1−52−1−521+52−3+352−3+352−3+352−3+3523−3523−3521−521−5200000000−1+521−521−52−1+52−1+52−1+521−5200000000000000000000000
χ8788-8-88-8002-2-22-2-2220000000−2−25−2−252+252+25−2−252+2500−1−521+521+52−1−521+521+52−1−52−1−520000000−2+25−2+252−252−25−2+252−2500−1+521−521−52−1+521−521−52−1+52−1+52000000000000000000000000000000
χ8888-8-8-88002-2-2222-2-20000000−2−25−2−252+252+252+25−2−2500−1−521+521+52−1−52−1−52−1−521+521+520000000−2+25−2+252−252−252−25−2+2500−1+521−521−52−1+52−1+52−1+521−521−52000000000000000000000000000000
χ898-88-800002-22-223−23−23230000000−2−252+25−2−252+250000−1−521+52−1−521+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000−2+252−25−2+252−250000−1+521−52−1+521−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000
χ908-88-800002-22-2−232323−230000000−2−252+25−2−252+250000−1−521+52−1−521+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000−2+252−25−2+252−250000−1+521−52−1+521−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000
χ918-88-80000-44-4400000000000−2−252+25−2−252+2500001+5−1−51+5−1−500000000000−2+252−25−2+252−2500001−5−1+51−5−1+50000000000000000000000000000000000
χ9212-12-1212004-4000000000000000−3−353+353+35−3−3500−1−51+5000000000000000−3+353−353−35−3+3500−1+51−500000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1).