Finite Group Databasebeta

← Group #91628

Character table — Group #91628

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222244444444488881010202020112222244444444488881010202020112222244444444488881010202020
order1245510102282020404040401010101024248361215153030662460601201201201203030303061261224361215153030662460601201201201203030303061261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1
χ311111111-1-111-1-1-1-111-1-1111-1-111111111-1-111-1-1-1-111-1-1111-1-111111111-1-111-1-1-1-111-1-1111-1-1
χ411111111-1-111-1-1-1-111-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-111
χ51111111-11-111-1-1-1-1-1-11111-11-11111111-11-111-1-1-1-1-1-11111-11-11111111-11-111-1-1-1-1-1-11111-11-1
χ61111111-11-111-1-1-1-1-1-111-1-11-111111111-11-111-1-1-1-1-1-111-1-11-111111111-11-111-1-1-1-1-1-111-1-11-11
χ71111111-1-11111111-1-1-1-111-1-111111111-1-11111111-1-1-1-111-1-111111111-1-11111111-1-1-1-111-1-11
χ81111111-1-11111111-1-1-1-1-1-111-11111111-1-11111111-1-1-1-1-1-111-11111111-1-11111111-1-1-1-1-1-111-1
χ9222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000
χ10222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000
χ11222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000
χ12222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000
χ13222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000
χ14222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000
χ15222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000
χ16222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000
χ1722-22222000-2-2000000002-200022-22222000-2-2000000002-200022-22222000-2-2000000002-2000
χ1822-22222000-2-200000000-2200022-22222000-2-200000000-2200022-22222000-2-200000000-22000
χ1944-4−1+5−1−5−1+5−1−50001−51+5000000000000044-4−1+5−1−5−1+5−1−50001−51+5000000000000044-4−1+5−1−5−1+5−1−50001−51+50000000000000
χ2044-4−1−5−1+5−1−5−1+50001+51−5000000000000044-4−1−5−1+5−1−5−1+50001+51−5000000000000044-4−1−5−1+5−1−5−1+50001+51−50000000000000
χ214-4044-4-40000000000000000004-4044-4-40000000000000000004-4044-4-4000000000000000000
χ224-40−1+5−1−51−51+500000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ1030000000004-40−1+5−1−51−51+500000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ1030000000004-40−1+5−1−51−51+500000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000
χ234-40−1+5−1−51−51+500000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ1030000000004-40−1+5−1−51−51+500000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ1030000000004-40−1+5−1−51−51+500000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000
χ244-40−1−5−1+51+51−500000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ1190000000004-40−1−5−1+51+51−500000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ1190000000004-40−1−5−1+51+51−500000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119000000000
χ254-40−1−5−1+51+51−500000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ1190000000004-40−1−5−1+51+51−500000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ1190000000004-40−1−5−1+51+51−500000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119000000000
χ261111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2711111111111111111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ2811111111-1-111-1-1-1-111-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ2911111111-1-111-1-1-1-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ301111111-11-111-1-1-1-1-1-11111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ311111111-11-111-1-1-1-1-1-111-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ321111111-1-11111111-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ331111111-1-11111111-1-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ34222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ9200000
χ35222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−1+i31−i31−i3−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−1−i31+i31+i3−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ9200000
χ36222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ521−i3−1+i31−i3−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ28+ζ52−ζ4−ζ76−ζ28−ζ5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ921+i3−1−i31+i3−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ68+ζ92−ζ44−ζ116−ζ68−ζ9200000
χ37222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ521−i31−i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ921+i31+i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ9200000
χ38222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ7600000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ11600000
χ39222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−1+i31−i31−i3−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ7600000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−1−i31+i31+i3−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ11600000
χ40222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ761−i3−1+i31−i3−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ4+ζ76−ζ28−ζ52−ζ4−ζ7600000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1161+i3−1−i31+i3−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ44+ζ116−ζ68−ζ92−ζ44−ζ11600000
χ41222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ761−i31−i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ7600000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1161+i31+i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ11600000
χ4222-22222000-2-2000000002-2000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i30001−i31−i300000000−1+i31−i3000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i30001+i31+i300000000−1−i31+i3000
χ4322-22222000-2-200000000-22000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i30001−i31−i3000000001−i3−1+i3000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i30001+i31+i3000000001+i3−1−i3000
χ4444-4−1+5−1−5−1+5−1−50001−51+50000000000000−2+2i3−2+2i32−2i3−2ζ4−2ζ76−2ζ28−2ζ52−2ζ4−2ζ76−2ζ28−2ζ520002ζ4+2ζ762ζ28+2ζ520000000000000−2−2i3−2−2i32+2i3−2ζ44−2ζ116−2ζ68−2ζ92−2ζ44−2ζ116−2ζ68−2ζ920002ζ44+2ζ1162ζ68+2ζ920000000000000
χ4544-4−1−5−1+5−1−5−1+50001+51−50000000000000−2+2i3−2+2i32−2i3−2ζ28−2ζ52−2ζ4−2ζ76−2ζ28−2ζ52−2ζ4−2ζ760002ζ28+2ζ522ζ4+2ζ760000000000000−2−2i3−2−2i32+2i3−2ζ68−2ζ92−2ζ44−2ζ116−2ζ68−2ζ92−2ζ44−2ζ1160002ζ68+2ζ922ζ44+2ζ1160000000000000
χ464-4044-4-4000000000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000000000000
χ474-40−1+5−1−51−51+500000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000−2+2i32−2i30−2ζ4−2ζ76−2ζ28−2ζ522ζ4+2ζ762ζ28+2ζ5200000ζ31−ζ61−ζ79+ζ109−ζ31+ζ61+ζ79−ζ109ζ7+ζ13−ζ37−ζ103−ζ7−ζ13+ζ37+ζ103000000000−2−2i32+2i30−2ζ44−2ζ116−2ζ68−2ζ922ζ44+2ζ1162ζ68+2ζ9200000ζ29+ζ71−ζ101−ζ119−ζ29−ζ71+ζ101+ζ119−ζ23+ζ47+ζ53−ζ77ζ23−ζ47−ζ53+ζ77000000000
χ484-40−1+5−1−51−51+500000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000−2+2i32−2i30−2ζ4−2ζ76−2ζ28−2ζ522ζ4+2ζ762ζ28+2ζ5200000−ζ31+ζ61+ζ79−ζ109ζ31−ζ61−ζ79+ζ109−ζ7−ζ13+ζ37+ζ103ζ7+ζ13−ζ37−ζ103000000000−2−2i32+2i30−2ζ44−2ζ116−2ζ68−2ζ922ζ44+2ζ1162ζ68+2ζ9200000−ζ29−ζ71+ζ101+ζ119ζ29+ζ71−ζ101−ζ119ζ23−ζ47−ζ53+ζ77−ζ23+ζ47+ζ53−ζ77000000000
χ494-40−1−5−1+51+51−500000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119000000000−2+2i32−2i30−2ζ28−2ζ52−2ζ4−2ζ762ζ28+2ζ522ζ4+2ζ7600000ζ7+ζ13−ζ37−ζ103−ζ7−ζ13+ζ37+ζ103−ζ31+ζ61+ζ79−ζ109ζ31−ζ61−ζ79+ζ109000000000−2−2i32+2i30−2ζ68−2ζ92−2ζ44−2ζ1162ζ68+2ζ922ζ44+2ζ11600000−ζ23+ζ47+ζ53−ζ77ζ23−ζ47−ζ53+ζ77−ζ29−ζ71+ζ101+ζ119ζ29+ζ71−ζ101−ζ119000000000
χ504-40−1−5−1+51+51−500000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119000000000−2+2i32−2i30−2ζ28−2ζ52−2ζ4−2ζ762ζ28+2ζ522ζ4+2ζ7600000−ζ7−ζ13+ζ37+ζ103ζ7+ζ13−ζ37−ζ103ζ31−ζ61−ζ79+ζ109−ζ31+ζ61+ζ79−ζ109000000000−2−2i32+2i30−2ζ68−2ζ92−2ζ44−2ζ1162ζ68+2ζ922ζ44+2ζ11600000ζ23−ζ47−ζ53+ζ77−ζ23+ζ47+ζ53−ζ77ζ29+ζ71−ζ101−ζ119−ζ29−ζ71+ζ101+ζ119000000000
χ511111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5211111111111111111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ5311111111-1-111-1-1-1-111-1-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ5411111111-1-111-1-1-1-111-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ551111111-11-111-1-1-1-1-1-11111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ561111111-11-111-1-1-1-1-1-111-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ571111111-1-11111111-1-1-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ581111111-1-11111111-1-1-1-1-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ59222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ9200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ5200000
χ60222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−1−i31+i31+i3−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ9200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−1+i31−i31−i3−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ5200000
χ61222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ921+i3−1−i31+i3−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ68+ζ92−ζ44−ζ116−ζ68−ζ9200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ521−i3−1+i31−i3−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ28+ζ52−ζ4−ζ76−ζ28−ζ5200000
χ62222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ921+i31+i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ9200000−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ521−i31−i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ5200000
χ63222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ11600000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ7600000
χ64222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−1−i31+i31+i3−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ11600000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−1+i31−i31−i3−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ7600000
χ65222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1161+i3−1−i31+i3−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ44+ζ116−ζ68−ζ92−ζ44−ζ11600000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ761−i3−1+i31−i3−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ4+ζ76−ζ28−ζ52−ζ4−ζ7600000
χ66222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1161+i31+i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ11600000−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ761−i31−i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ7600000
χ6722-22222000-2-2000000002-2000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i30001+i31+i300000000−1−i31+i3000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i30001−i31−i300000000−1+i31−i3000
χ6822-22222000-2-200000000-22000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i30001+i31+i3000000001+i3−1−i3000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i30001−i31−i3000000001−i3−1+i3000
χ6944-4−1+5−1−5−1+5−1−50001−51+50000000000000−2−2i3−2−2i32+2i3−2ζ44−2ζ116−2ζ68−2ζ92−2ζ44−2ζ116−2ζ68−2ζ920002ζ44+2ζ1162ζ68+2ζ920000000000000−2+2i3−2+2i32−2i3−2ζ4−2ζ76−2ζ28−2ζ52−2ζ4−2ζ76−2ζ28−2ζ520002ζ4+2ζ762ζ28+2ζ520000000000000
χ7044-4−1−5−1+5−1−5−1+50001+51−50000000000000−2−2i3−2−2i32+2i3−2ζ68−2ζ92−2ζ44−2ζ116−2ζ68−2ζ92−2ζ44−2ζ1160002ζ68+2ζ922ζ44+2ζ1160000000000000−2+2i3−2+2i32−2i3−2ζ28−2ζ52−2ζ4−2ζ76−2ζ28−2ζ52−2ζ4−2ζ760002ζ28+2ζ522ζ4+2ζ760000000000000
χ714-4044-4-4000000000000000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000000000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000000000000
χ724-40−1+5−1−51−51+500000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000−2−2i32+2i30−2ζ44−2ζ116−2ζ68−2ζ922ζ44+2ζ1162ζ68+2ζ9200000ζ29+ζ71−ζ101−ζ119−ζ29−ζ71+ζ101+ζ119−ζ23+ζ47+ζ53−ζ77ζ23−ζ47−ζ53+ζ77000000000−2+2i32−2i30−2ζ4−2ζ76−2ζ28−2ζ522ζ4+2ζ762ζ28+2ζ5200000ζ31−ζ61−ζ79+ζ109−ζ31+ζ61+ζ79−ζ109ζ7+ζ13−ζ37−ζ103−ζ7−ζ13+ζ37+ζ103000000000
χ734-40−1+5−1−51−51+500000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000−2−2i32+2i30−2ζ44−2ζ116−2ζ68−2ζ922ζ44+2ζ1162ζ68+2ζ9200000−ζ29−ζ71+ζ101+ζ119ζ29+ζ71−ζ101−ζ119ζ23−ζ47−ζ53+ζ77−ζ23+ζ47+ζ53−ζ77000000000−2+2i32−2i30−2ζ4−2ζ76−2ζ28−2ζ522ζ4+2ζ762ζ28+2ζ5200000−ζ31+ζ61+ζ79−ζ109ζ31−ζ61−ζ79+ζ109−ζ7−ζ13+ζ37+ζ103ζ7+ζ13−ζ37−ζ103000000000
χ744-40−1−5−1+51+51−500000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119000000000−2−2i32+2i30−2ζ68−2ζ92−2ζ44−2ζ1162ζ68+2ζ922ζ44+2ζ11600000−ζ23+ζ47+ζ53−ζ77ζ23−ζ47−ζ53+ζ77−ζ29−ζ71+ζ101+ζ119ζ29+ζ71−ζ101−ζ119000000000−2+2i32−2i30−2ζ28−2ζ52−2ζ4−2ζ762ζ28+2ζ522ζ4+2ζ7600000ζ7+ζ13−ζ37−ζ103−ζ7−ζ13+ζ37+ζ103−ζ31+ζ61+ζ79−ζ109ζ31−ζ61−ζ79+ζ109000000000
χ754-40−1−5−1+51+51−500000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119000000000−2−2i32+2i30−2ζ68−2ζ92−2ζ44−2ζ1162ζ68+2ζ922ζ44+2ζ11600000ζ23−ζ47−ζ53+ζ77−ζ23+ζ47+ζ53−ζ77ζ29+ζ71−ζ101−ζ119−ζ29−ζ71+ζ101+ζ119000000000−2+2i32−2i30−2ζ28−2ζ52−2ζ4−2ζ762ζ28+2ζ522ζ4+2ζ7600000−ζ7−ζ13+ζ37+ζ103ζ7+ζ13−ζ37−ζ103ζ31−ζ61−ζ79+ζ109−ζ31+ζ61+ζ79−ζ109000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.