Finite Group Databasebeta

← Group #91191

Character table — Group #91191

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444455556688888888888888881212121220202020202020203030
order1244551010202020203366121212128888241515151530303030606060606060606010102020242424242424242488
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211
χ4111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111−1−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+i3211111+i321+i321+i321+i321−i321−i321−i321−i32-1-1
χ5111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211
χ6111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111−1+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−i3211111−i321−i321−i321−i321+i321+i321+i321+i32-1-1
χ711-1-11111-1-1-1-11111-1-1-1-1ii−i−i-1111111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−ii−i
χ811-1-11111-1-1-1-11111-1-1-1-1−i−iii-1111111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii−ii
χ911-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ii−i−i-11−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118i−i
χ1011-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−i−iii-11−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ii
χ1111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ii−i−i-11−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86i−i
χ1211-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−i−iii-11−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ii
χ132222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000000
χ142222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3000022−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−1−52−1+52−1−52−1+520000000000
χ152222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3000022−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−1−52−1+52−1−52−1+520000000000
χ162222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000000
χ172222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3000022−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−1+52−1−52−1+52−1−520000000000
χ182222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3000022−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−1+52−1−52−1+52−1−520000000000
χ1922-2-2−1−52−1+52−1−52−1+521+521+521−521−522222-2-2-2-20000-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+520000000000
χ2022-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i30000-22−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ761+521−52−1−52−1+520000000000
χ2122-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i30000-22−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ1161+521−52−1−52−1+520000000000
χ2222-2-2−1+52−1−52−1+52−1−521−521−521+521+522222-2-2-2-20000-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−520000000000
χ2322-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i30000-22−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ521−521+52−1+52−1−520000000000
χ2422-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i30000-22−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ921−521+52−1+52−1−520000000000
χ252-22i−2i22-2-22i−2i2i−2i-1-111i−ii−i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900-1-1-1-11111i−ii−ii−ii−i0000ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ10900
χ262-22i−2i22-2-22i−2i2i−2i-1-111i−ii−i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900-1-1-1-11111i−ii−ii−ii−i0000−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ10900
χ272-22i−2i22-2-22i−2i2i−2i1+i321−i32−1−i32−1+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1182ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109001+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1180000−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ10900
χ282-22i−2i22-2-22i−2i2i−2i1+i321−i32−1−i32−1+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109001+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ1180000ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ10900
χ292-22i−2i22-2-22i−2i2i−2i1−i321+i32−1+i32−1−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ862ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109001−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ860000−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ10100
χ302-22i−2i22-2-22i−2i2i−2i1−i321+i32−1+i32−1−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109001−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ860000ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ10100
χ312-2−2i2i22-2-2−2i2i−2i2i-1-111−ii−ii−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900-1-1-1-11111−ii−ii−ii−ii0000−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ11900
χ322-2−2i2i22-2-2−2i2i−2i2i-1-111−ii−ii2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900-1-1-1-11111−ii−ii−ii−ii0000ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ11900
χ332-2−2i2i22-2-2−2i2i−2i2i1+i321−i32−1−i32−1+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119001+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1180000ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ10300
χ342-2−2i2i22-2-2−2i2i−2i2i1+i321−i32−1−i32−1+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1182ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119001+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ1180000−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ10300
χ352-2−2i2i22-2-2−2i2i−2i2i1−i321+i32−1+i32−1−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119001−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ860000ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ11900
χ362-2−2i2i22-2-2−2i2i−2i2i1−i321+i32−1+i32−1−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ862ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119001−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ860000−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ11900
χ37333333333333000000003333-1-10000000000000000-1-1-1-100000000-1-1
χ3833333333333300000000-3-3-3-3-1-10000000000000000-1-1-1-10000000011
χ3933-3-33333-3-3-3-3000000003i3i−3i−3i1-1000000000000000011-1-100000000−ii
χ4033-3-33333-3-3-3-300000000−3i−3i3i3i1-1000000000000000011-1-100000000i−i
χ414-44i−4i−1−5−1+51+51−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94-2-2222i−2i2i−2i0000001+521−521+521−52−1−52−1+52−1−52−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000000000
χ424-44i−4i−1−5−1+51+51−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ941+i31−i3−1−i3−1+i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118000000ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ38+ζ62−ζ38−ζ62ζ14+ζ86−ζ14−ζ86ζ22+ζ118−ζ22−ζ118ζ46+ζ94−ζ46−ζ9400000000000000
χ434-44i−4i−1−5−1+51+51−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ941−i31+i3−1+i3−1−i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86000000ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ22+ζ118−ζ22−ζ118ζ46+ζ94−ζ46−ζ94ζ38+ζ62−ζ38−ζ62ζ14+ζ86−ζ14−ζ8600000000000000
χ444-44i−4i−1+5−1−51−51+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118-2-2222i−2i2i−2i0000001−521+521−521+52−1+52−1−52−1+52−1−52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ11800000000000000
χ454-44i−4i−1+5−1−51−51+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181+i31−i3−1−i3−1+i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118000000ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ14+ζ86−ζ14−ζ86ζ38+ζ62−ζ38−ζ62ζ46+ζ94−ζ46−ζ94ζ22+ζ118−ζ22−ζ11800000000000000
χ464-44i−4i−1+5−1−51−51+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181−i31+i3−1+i3−1−i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86000000ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ46+ζ94−ζ46−ζ94ζ22+ζ118−ζ22−ζ118ζ14+ζ86−ζ14−ζ86ζ38+ζ62−ζ38−ζ6200000000000000
χ474-4−4i4i−1−5−1+51+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94-2-222−2i2i−2i2i0000001+521−521+521−52−1−52−1+52−1−52−1+52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000000000
χ484-4−4i4i−1−5−1+51+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ941+i31−i3−1−i3−1+i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ862ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118000000ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ38−ζ62ζ38+ζ62−ζ14−ζ86ζ14+ζ86−ζ22−ζ118ζ22+ζ118−ζ46−ζ94ζ46+ζ9400000000000000
χ494-4−4i4i−1−5−1+51+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ941−i31+i3−1+i3−1−i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ1182ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86000000ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ22−ζ118ζ22+ζ118−ζ46−ζ94ζ46+ζ94−ζ38−ζ62ζ38+ζ62−ζ14−ζ86ζ14+ζ8600000000000000
χ504-4−4i4i−1+5−1−51−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118-2-222−2i2i−2i2i0000001−521+521−521+52−1+52−1−52−1+52−1−52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ11800000000000000
χ514-4−4i4i−1+5−1−51−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181+i31−i3−1−i3−1+i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ862ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118000000ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ14−ζ86ζ14+ζ86−ζ38−ζ62ζ38+ζ62−ζ46−ζ94ζ46+ζ94−ζ22−ζ118ζ22+ζ11800000000000000
χ524-4−4i4i−1+5−1−51−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−i31+i3−1+i3−1−i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ1182ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86000000ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ46−ζ94ζ46+ζ94−ζ22−ζ118ζ22+ζ118−ζ14−ζ86ζ14+ζ86−ζ38−ζ62ζ38+ζ6200000000000000
χ536666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352000000000000-2-200000000000000001+521−521+521−520000000000
χ546666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352000000000000-2-200000000000000001−521+521−521+520000000000
χ5566-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−3520000000000002-20000000000000000−1−52−1+521+521−520000000000
χ5666-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+3520000000000002-20000000000000000−1+52−1−521−521+520000000000

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