Finite Group Databasebeta

← Group #1192

Character table — Group #1192

Order 120.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111122222222555511112222222255551111222222225555
order1244551010202020208888361212151530306060606024242424361212151530306060606024242424
χ1111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ311-1-11111-1-1-1-1ii−i−i11-1-11111-1-1-1-1ii−i−i11-1-11111-1-1-1-1ii−i−i
χ411-1-11111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−iii11-1-11111-1-1-1-1−i−iii
χ51-1i−i11-1-1ii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ1091-1i−i11-1-1ii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ1091-1i−i11-1-1ii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109
χ61-1i−i11-1-1ii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ1091-1i−i11-1-1ii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ1091-1i−i11-1-1ii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ71-1−ii11-1-1−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ1191-1−ii11-1-1−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ1191-1−ii11-1-1−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ81-1−ii11-1-1−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ1191-1−ii11-1-1−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ1191-1−ii11-1-1−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119
χ92222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ102222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ1122-2-2−1+52−1−52−1+52−1−521−521+521−521+52000022-2-2−1+52−1−52−1+52−1−521−521+521−521+52000022-2-2−1+52−1−52−1+52−1−521−521+521−521+520000
χ1222-2-2−1−52−1+52−1−52−1+521+521−521+521−52000022-2-2−1−52−1+52−1−52−1+521+521−521+521−52000022-2-2−1−52−1+52−1−52−1+521+521−521+521−520000
χ132-22i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ11800002-22i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ11800002-22i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1180000
χ142-22i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ9400002-22i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ9400002-22i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ940000
χ152-2−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ11800002-2−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ11800002-2−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1180000
χ162-2−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ9400002-2−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ9400002-2−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ940000
χ171111111111111111−1+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
χ18111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32
χ1911-1-11111-1-1-1-1ii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86
χ2011-1-11111-1-1-1-1−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86
χ211-1i−i11-1-1ii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−1+i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109−1−i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101
χ221-1i−i11-1-1ii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−1+i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109−1−i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101
χ231-1−ii11-1-1−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−1+i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−1+i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103−1−i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−1−i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119
χ241-1−ii11-1-1−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−1+i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−1+i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103−1−i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−1−i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119
χ252222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000−1+i3−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ520000−1−i3−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ920000
χ262222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000−1+i3−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ760000−1−i3−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1160000
χ2722-2-2−1+52−1−52−1+52−1−521−521+521−521+520000−1+i3−1+i31−i31−i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ520000−1−i3−1−i31+i31+i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ920000
χ2822-2-2−1−52−1+52−1−52−1+521+521−521+521−520000−1+i3−1+i31−i31−i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ760000−1−i3−1−i31+i31+i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ1160000
χ292-22i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1180000−1+i31−i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52ζ46+ζ94ζ22+ζ118−ζ46−ζ94−ζ22−ζ1180000−1−i31+i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92ζ14+ζ86ζ38+ζ62−ζ14−ζ86−ζ38−ζ620000
χ302-22i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ940000−1+i31−i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76ζ22+ζ118ζ46+ζ94−ζ22−ζ118−ζ46−ζ940000−1−i31+i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116ζ38+ζ62ζ14+ζ86−ζ38−ζ62−ζ14−ζ860000
χ312-2−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1180000−1+i31−i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52−ζ46−ζ94−ζ22−ζ118ζ46+ζ94ζ22+ζ1180000−1−i31+i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92−ζ14−ζ86−ζ38−ζ62ζ14+ζ86ζ38+ζ620000
χ322-2−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ940000−1+i31−i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76−ζ22−ζ118−ζ46−ζ94ζ22+ζ118ζ46+ζ940000−1−i31+i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116−ζ38−ζ62−ζ14−ζ86ζ38+ζ62ζ14+ζ860000
χ331111111111111111−1−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
χ34111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32
χ3511-1-11111-1-1-1-1ii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118
χ3611-1-11111-1-1-1-1−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118
χ371-1i−i11-1-1ii−i−iζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−1−i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101−1+i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109
χ381-1i−i11-1-1ii−i−i−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−1−i321+i32−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101−1+i321−i32−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109
χ391-1−ii11-1-1−i−iiiζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−1−i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−1−i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ29−ζ53−ζ77−ζ101ζ29+ζ53+ζ77+ζ101−ζ23−ζ47−ζ71−ζ119ζ23+ζ47+ζ71+ζ119−1+i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−1+i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ13−ζ37−ζ61−ζ109ζ13+ζ37+ζ61+ζ109−ζ7−ζ31−ζ79−ζ103ζ7+ζ31+ζ79+ζ103
χ401-1−ii11-1-1−i−iii−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−1−i321+i32ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−1−i32−1−i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ29+ζ53+ζ77+ζ101−ζ29−ζ53−ζ77−ζ101ζ23+ζ47+ζ71+ζ119−ζ23−ζ47−ζ71−ζ119−1+i321−i32ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−1+i32−1+i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ13+ζ37+ζ61+ζ109−ζ13−ζ37−ζ61−ζ109ζ7+ζ31+ζ79+ζ103−ζ7−ζ31−ζ79−ζ103
χ412222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000−1−i3−1−i3−1−i3−1−i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ920000−1+i3−1+i3−1+i3−1+i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ520000
χ422222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000−1−i3−1−i3−1−i3−1−i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1160000−1+i3−1+i3−1+i3−1+i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ760000
χ4322-2-2−1+52−1−52−1+52−1−521−521+521−521+520000−1−i3−1−i31+i31+i3−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ920000−1+i3−1+i31−i31−i3−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ520000
χ4422-2-2−1−52−1+52−1−52−1+521+521−521+521−520000−1−i3−1−i31+i31+i3−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ1160000−1+i3−1+i31−i31−i3−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ760000
χ452-22i−2i−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1180000−1−i31+i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92ζ14+ζ86ζ38+ζ62−ζ14−ζ86−ζ38−ζ620000−1+i31−i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52ζ46+ζ94ζ22+ζ118−ζ46−ζ94−ζ22−ζ1180000
χ462-22i−2i−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ940000−1−i31+i3−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116ζ38+ζ62ζ14+ζ86−ζ38−ζ62−ζ14−ζ860000−1+i31−i3−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76ζ22+ζ118ζ46+ζ94−ζ22−ζ118−ζ46−ζ940000
χ472-2−2i2i−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1180000−1−i31+i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92−ζ14−ζ86−ζ38−ζ62ζ14+ζ86ζ38+ζ620000−1+i31−i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52−ζ46−ζ94−ζ22−ζ118ζ46+ζ94ζ22+ζ1180000
χ482-2−2i2i−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ940000−1−i31+i32ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116−ζ38−ζ62−ζ14−ζ86ζ38+ζ62ζ14+ζ860000−1+i31−i32ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76−ζ22−ζ118−ζ46−ζ94ζ22+ζ118ζ46+ζ940000

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