Finite Group Databasebeta

← Group #14513370

Character table — Group #14513370

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111226688888888121212121224242222441212161616161616161624242424244848222244121216161616161616162424242424484855551010303040404040404040406060606060120120
order1222224436666666488882451010101010202015303030303030302040404040102051010101010202015303030303030302040404040102022222244666666664888824
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
χ72-22-2002-222-2-2000000000002-22-2002-222-2-2000000000002-22-2002-222-2-2000000000002-22-2002-222-2-200000000000
χ82-22-2002-2-1-111−i3−i3i3i300000002-22-2002-2-1-111−i3−i3i3i300000002-22-2002-2-1-111−i3−i3i3i300000002-22-2002-2-1-111−i3−i3i3i30000000
χ92-22-2002-2-1-111i3i3−i3−i300000002-22-2002-2-1-111i3i3−i3−i300000002-22-2002-2-1-111i3i3−i3−i300000002-22-2002-2-1-111i3i3−i3−i30000000
χ102-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i200
χ112-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i200
χ122-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i200
χ132-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i200
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
χ1844-4-400001-11-1−i3i3i3−i3000000044-4-400001-11-1−i3i3i3−i3000000044-4-400001-11-1−i3i3i3−i3000000044-4-400001-11-1−i3i3i3−i30000000
χ1944-4-400001-11-1i3−i3−i3i3000000044-4-400001-11-1i3−i3−i3i3000000044-4-400001-11-1i3−i3−i3i3000000044-4-400001-11-1i3−i3−i3i30000000
χ2044-4-40000-22-220000000000044-4-40000-22-220000000000044-4-40000-22-220000000000044-4-40000-22-2200000000000
χ214-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-110000000
χ224-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-10000000
χ236-66-600-220000000000000006-66-600-220000000000000006-66-600-220000000000000006-66-600-22000000000000000
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
χ302-22-2002-222-2-2000000000002-22-2002-222-2-2000000000002-22-2002-222-2-200000000000-22-2200-22-2-22200000000000
χ312-22-2002-2-1-111−i3−i3i3i300000002-22-2002-2-1-111−i3−i3i3i300000002-22-2002-2-1-111−i3−i3i3i30000000-22-2200-2211-1-1i3i3−i3−i30000000
χ322-22-2002-2-1-111i3i3−i3−i300000002-22-2002-2-1-111i3i3−i3−i300000002-22-2002-2-1-111i3i3−i3−i30000000-22-2200-2211-1-1−i3−i3i3i30000000
χ332-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i2002-2-222-200-111-11-11-10−i2i2−i2i200-222-2-22001-1-11-11-110i2−i2i2−i200
χ342-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i2002-2-222-200-111-11-11-10i2−i2i2−i200-222-2-22001-1-11-11-110−i2i2−i2i200
χ352-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i2002-2-22-2200-111-1-11-110−i2i2i2−i200-222-22-2001-1-111-11-10i2−i2−i2i200
χ362-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i2002-2-22-2200-111-1-11-110i2−i2−i2i200-222-22-2001-1-111-11-10−i2i2i2−i200
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
χ4144-4-400001-11-1−i3i3i3−i3000000044-4-400001-11-1−i3i3i3−i3000000044-4-400001-11-1−i3i3i3−i30000000-4-4440000-11-11i3−i3−i3i30000000
χ4244-4-400001-11-1i3−i3−i3i3000000044-4-400001-11-1i3−i3−i3i3000000044-4-400001-11-1i3−i3−i3i30000000-4-4440000-11-11−i3i3i3−i30000000
χ4344-4-40000-22-220000000000044-4-40000-22-220000000000044-4-40000-22-2200000000000-4-44400002-22-200000000000
χ444-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-1100000004-4-444-4001-1-11-11-110000000-444-4-4400-111-11-11-10000000
χ454-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-100000004-4-44-44001-1-111-11-10000000-444-44-400-111-1-11-110000000
χ466-66-600-220000000000000006-66-600-220000000000000006-66-600-22000000000000000-66-66002-2000000000000000
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
χ534-44-4004-444-4-400000000000−1+51−5−1+51−500−1+51−5−1+5−1+51−51−500000000000−1−51+5−1−51+500−1−51+5−1−5−1−51+51+50000000000000000000000000000000000
χ544-44-4004-4-2-222−2i3−2i32i32i30000000−1+51−5−1+51−500−1+51−51−521−52−1+52−1+52ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ1160000000−1−51+5−1−51+500−1−51+51+521+52−1−52−1−52ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92000000000000000000000000000000
χ554-44-4004-4-2-2222i32i3−2i3−2i30000000−1+51−5−1+51−500−1+51−51−521−52−1+52−1+52−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ1160000000−1−51+5−1−51+500−1−51+51+521+52−1−52−1−52−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92000000000000000000000000000000
χ564-4-444-400-222-22-22-20−2i22i2−2i22i200−1+51−51−5−1+5−1+51−5001−52−1+52−1+521−52−1+521−52−1+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−ζ11900−1−51+51+5−1−5−1−51+5001+52−1−52−1−521+52−1−521+52−1−521+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
χ574-4-444-400-222-22-22-202i2−2i22i2−2i200−1+51−51−5−1+5−1+51−5001−52−1+52−1+521−52−1+521−52−1+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+ζ11900−1−51+51+5−1−5−1−51+5001+52−1−52−1−521+52−1−521+52−1−521+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
χ584-4-44-4400-222-2-22-220−2i22i22i2−2i200−1+51−51−5−1+51−5−1+5001−52−1+52−1+521−521−52−1+521−52−1+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+ζ11900−1−51+51+5−1−51+5−1−5001+52−1−52−1−521+521+52−1−521+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
χ594-4-44-4400-222-2-22-2202i2−2i2−2i22i200−1+51−51−5−1+51−5−1+5001−52−1+52−1+521−521−52−1+521−52−1+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−ζ11900−1−51+51+5−1−51+5−1−5001+52−1−52−1−521+521+52−1−521+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
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
χ6488-8-800002-22-2−2i32i32i3−2i30000000−2+25−2+252−252−250000−1+521−52−1+521−52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ1160000000−2−25−2−252+252+250000−1−521+52−1−521+52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000000000000000000000000000000
χ6588-8-800002-22-22i3−2i3−2i32i30000000−2+25−2+252−252−250000−1+521−52−1+521−52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ1160000000−2−25−2−252+252+250000−1−521+52−1−521+52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000000000000000000000000000000
χ6688-8-80000-44-4400000000000−2+25−2+252−252−2500001−5−1+51−5−1+500000000000−2−25−2−252+252+2500001+5−1−51+5−1−50000000000000000000000000000000000
χ678-8-888-8002-2-22-22-220000000−2+252−252−25−2+25−2+252−2500−1+521−521−52−1+521−52−1+521−52−1+520000000−2−252+252+25−2−25−2−252+2500−1−521+521+52−1−521+52−1−521+52−1−52000000000000000000000000000000
χ688-8-88-88002-2-222-22-20000000−2+252−252−25−2+252−25−2+2500−1+521−521−52−1+52−1+521−52−1+521−520000000−2−252+252+25−2−252+25−2−2500−1−521+521+52−1−52−1−521+52−1−521+52000000000000000000000000000000
χ6912-1212-1200-44000000000000000−3+353−35−3+353−35001−5−1+5000000000000000−3−353+35−3−353+35001+5−1−500000000000000000000000000000000000000
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
χ764-44-4004-444-4-400000000000−1−51+5−1−51+500−1−51+5−1−5−1−51+51+500000000000−1+51−5−1+51−500−1+51−5−1+5−1+51−51−50000000000000000000000000000000000
χ774-44-4004-4-2-222−2i3−2i32i32i30000000−1−51+5−1−51+500−1−51+51+521+52−1−52−1−52ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ920000000−1+51−5−1+51−500−1+51−51−521−52−1+52−1+52ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000000
χ784-44-4004-4-2-2222i32i3−2i3−2i30000000−1−51+5−1−51+500−1−51+51+521+52−1−52−1−52−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ920000000−1+51−5−1+51−500−1+51−51−521−52−1+52−1+52−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116000000000000000000000000000000
χ794-4-444-400-222-22-22-20−2i22i2−2i22i200−1−51+51+5−1−5−1−51+5001+52−1−52−1−521+52−1−521+52−1−521+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+51−51−5−1+5−1+51−5001−52−1+52−1+521−52−1+521−52−1+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
χ804-4-444-400-222-22-22-202i2−2i22i2−2i200−1−51+51+5−1−5−1−51+5001+52−1−52−1−521+52−1−521+52−1−521+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+51−51−5−1+5−1+51−5001−52−1+52−1+521−52−1+521−52−1+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
χ814-4-44-4400-222-2-22-220−2i22i22i2−2i200−1−51+51+5−1−51+5−1−5001+52−1−52−1−521+521+52−1−521+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+51−51−5−1+51−5−1+5001−52−1+52−1+521−521−52−1+521−52−1+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
χ824-4-44-4400-222-2-22-2202i2−2i2−2i22i200−1−51+51+5−1−51+5−1−5001+52−1−52−1−521+521+52−1−521+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+51−51−5−1+51−5−1+5001−52−1+52−1+521−521−52−1+521−52−1+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
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
χ8788-8-800002-22-2−2i32i32i3−2i30000000−2−25−2−252+252+250000−1−521+52−1−521+52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ920000000−2+25−2+252−252−250000−1+521−52−1+521−52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000000000000000000000000000000
χ8888-8-800002-22-22i3−2i3−2i32i30000000−2−25−2−252+252+250000−1−521+52−1−521+52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ920000000−2+25−2+252−252−250000−1+521−52−1+521−52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000000
χ8988-8-80000-44-4400000000000−2−25−2−252+252+2500001+5−1−51+5−1−500000000000−2+25−2+252−252−2500001−5−1+51−5−1+50000000000000000000000000000000000
χ908-8-888-8002-2-22-22-220000000−2−252+252+25−2−25−2−252+2500−1−521+521+52−1−521+52−1−521+52−1−520000000−2+252−252−25−2+25−2+252−2500−1+521−521−52−1+521−52−1+521−52−1+52000000000000000000000000000000
χ918-8-88-88002-2-222-22-20000000−2−252+252+25−2−252+25−2−2500−1−521+521+52−1−52−1−521+52−1−521+520000000−2+252−252−25−2+252−25−2+2500−1+521−521−52−1+52−1+521−52−1+521−52000000000000000000000000000000
χ9212-1212-1200-44000000000000000−3−353+35−3−353+35001+5−1−5000000000000000−3+353−35−3+353−35001−5−1+500000000000000000000000000000000000000

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