Finite Group Databasebeta

← Group #14512791

Character table — Group #14512791

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222222222444466888812121212121616161616161616161616161616161616162020242424242424242424242424242448484848606060606060606080808080120
order1222445510101010101020202020443666420202020121215153030303030306060606060606060442288202040404040404040401010101022228888121212124
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1
χ311111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ51111-1-111111111-1-1-1-1111111-11111-1-111111111-1-1-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-111-1-11-111-1-11111-1-1-1
χ61111-1-111111111-1-1-1-1111111-11111-1-111111111-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-11
χ71111-1-111111111-1-1-1-1111111-11111-1-111111111-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-111-1-1-11-1-111-1-1-1-1111
χ81111-1-111111111-1-1-1-1111111-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-11111-1-111-1111-1-111-1-111-1
χ922222222222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002200000000000022000000-1-1-1-10
χ1022222222222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000022000000000000-2-200000011110
χ11222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+5222−1−52−1+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+52002222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000000000000
χ12222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1+5222−1−52−1+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+5200-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−520000000000000
χ13222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000000000000
χ14222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+520000000000000
χ152222-2-222222222-2-2-2-222-1-1-1-1-2222211-1-1-1-1-1-1-1-1111111112-20000-2-20000000000002-2000000-1-1110
χ162222-2-222222222-2-2-2-222-1-1-1-1-2222211-1-1-1-1-1-1-1-111111111-220000-2-2000000000000-2200000011-1-10
χ172222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52222222-2−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−520000000000000
χ182222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52222222-2−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-22-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+520000000000000
χ192222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52222222-2−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+520000000000000
χ202222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52222222-2−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-22-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−520000000000000
χ212-22-20022-2-22-22-20000-222-2-220-2-22200222-22-2-2-20000000000000000000000000000002-2002-200000
χ222-22-20022-2-22-22-20000-222-2-220-2-22200222-22-2-2-2000000000000000000000000000000-2200-2200000
χ23333333333333333333-1-10000-1-1-1-1-10000000000000000003311-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-100001
χ24333333333333333333-1-10000-1-1-1-1-100000000000000000033-1-111-1-111111111-1-1-1-1-1-1-1-111110000-1
χ25333333333333333333-1-10000-1-1-1-1-1000000000000000000-3-311-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111110000-1
χ26333333333333333333-1-10000-1-1-1-1-1000000000000000000-3-3-1-111-1-111111111-1-1-1-11111-1-1-1-100001
χ273333-3-333333333-3-3-3-3-1-100001-1-1-1-10000000000000000003-31-1-1111-1-1-1-1111111-1-1-111111-1-10000-1
χ283333-3-333333333-3-3-3-3-1-100001-1-1-1-10000000000000000003-3-111-1111111-1-1-1-1-1-111-11-1-1-1-11100001
χ293333-3-333333333-3-3-3-3-1-100001-1-1-1-1000000000000000000-331-1-1111-1-1-1-1111111-1-11-1-1-1-1-11100001
χ303333-3-333333333-3-3-3-3-1-100001-1-1-1-1000000000000000000-33-111-1111111-1-1-1-1-1-1111-11111-1-10000-1
χ31444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+544-2-2-2-24−1−5−1+5−1−5−1+5-2-21+521−521+521+521−521−521+521−521+521+521+521+521−521−521−521−52000000−1−5−1+50000000000000000000000000
χ32444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−544-2-2-2-24−1+5−1−5−1+5−1−5-2-21−521+521−521−521+521+521−521+521−521−521−521−521+521+521+521+52000000−1+5−1−50000000000000000000000000
χ334444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−544-2-2-2-2-4−1−5−1+5−1−5−1+5221+521−521+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000001+51−50000000000000000000000000
χ344444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+544-2-2-2-2-4−1+5−1−5−1+5−1−5221−521+521−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000001−51+50000000000000000000000000
χ3544-4-40044-4-4-44-44000000-2-2220000000-2-22-22-2220000000000000000000000000000000022−220000000
χ3644-4-40044-4-4-44-44000000-2-2220000000-2-22-22-22200000000000000000000000000000000−22220000000
χ374-44-40044-4-44-44-40000-44-222-20-4-44400-2-2-22-222200000000000000000000000000000000000000000
χ384-44-400−1−5−1+51+51−5−1−51+5−1+51−50000-444-4-4401+51−5−1−5−1+500−1−5−1+5−1−51+5−1+51−51+51−500000000000000000000000000000000000000000
χ394-44-400−1−5−1+51+51−5−1−51+5−1+51−50000-44-222-201+51−5−1−5−1+5001+521−521+52−1−521−52−1+52−1−52−1+52ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000000000000
χ404-44-400−1−5−1+51+51−5−1−51+5−1+51−50000-44-222-201+51−5−1−5−1+5001+521−521+52−1−521−52−1+52−1−52−1+52−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000000000000
χ414-44-400−1+5−1−51−51+5−1+51−5−1−51+50000-444-4-4401−51+5−1+5−1−500−1+5−1−5−1+51−5−1−51+51−51+500000000000000000000000000000000000000000
χ424-44-400−1+5−1−51−51+5−1+51−5−1−51+50000-44-222-201−51+5−1+5−1−5001−521+521−52−1+521+52−1−52−1+52−1−52−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000000000000
χ434-44-400−1+5−1−51−51+5−1+51−5−1−51+50000-44-222-201−51+5−1+5−1−5001−521+521−52−1+521+52−1−52−1+52−1−52ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000000000000
χ444-4-444-44444-4-4-4-44-44-4001-11-1000001-111-1-1-1-1111-11-11-11-100000000000000000000000000003−33−30
χ454-4-444-44444-4-4-4-44-44-4001-11-1000001-111-1-1-1-1111-11-11-11-10000000000000000000000000000−33−330
χ464-4-444-44444-4-4-4-44-44-400-22-2200000-22-2-22222-2-2-22-22-22-22000000000000000000000000000000000
χ474-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−51+5−1+51−500-22-2200000-221+521−52−1−52−1−52−1+52−1+521+521−521+52−1−521+52−1−521−52−1+521−52−1+5200000000ζ7−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+ζ119ζ7−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+ζ11900000000000000000
χ484-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−51+5−1+51−500-22-2200000-221+521−52−1−52−1−52−1+52−1+521+521−521+52−1−521+52−1−521−52−1+521−52−1+5200000000−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−ζ119−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−ζ11900000000000000000
χ494-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+51−5−1−51+500-22-2200000-221−521+52−1+52−1+52−1−52−1−521−521+521−52−1+521−52−1+521+52−1−521+52−1−5200000000−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−ζ103−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−ζ10300000000000000000
χ504-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+51−5−1−51+500-22-2200000-221−521+52−1+52−1+52−1−52−1−521−521+521−52−1+521−52−1+521+52−1−521+52−1−5200000000ζ29−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+ζ103ζ29−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+ζ10300000000000000000
χ514-4-44-444444-4-4-4-4-44-44001-11-100000-1111-1-1-1-111-11-11-11-1100000000000000000000000000003−3−330
χ524-4-44-444444-4-4-4-4-44-44001-11-100000-1111-1-1-1-111-11-11-11-110000000000000000000000000000−333−30
χ534-4-44-444444-4-4-4-4-44-4400-22-22000002-2-2-22222-2-22-22-22-22-2000000000000000000000000000000000
χ544-4-44-44−1−5−1+5−1−5−1+51+51+51−51−51+5−1−51−5−1+500-22-22000002-21+521−52−1−52−1−52−1+52−1+521+521−52−1−521+52−1−521+52−1+521−52−1+521−5200000000ζ7−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+ζ119−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−ζ11900000000000000000
χ554-4-44-44−1−5−1+5−1−5−1+51+51+51−51−51+5−1−51−5−1+500-22-22000002-21+521−52−1−52−1−52−1+52−1+521+521−52−1−521+52−1−521+52−1+521−52−1+521−5200000000−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−ζ119ζ7−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+ζ11900000000000000000
χ564-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−5−1+51+5−1−500-22-22000002-21−521+52−1+52−1+52−1−52−1−521−521+52−1+521−52−1+521−52−1−521+52−1−521+5200000000−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−ζ103ζ29−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+ζ10300000000000000000
χ574-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−5−1+51+5−1−500-22-22000002-21−521+52−1+52−1+52−1−52−1−521−521+52−1+521−52−1+521−52−1−521+52−1−521+5200000000ζ29−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+ζ103−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−ζ10300000000000000000
χ58666666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+352-2-20000-21+521−521+521−520000000000000000000022-2-21+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+520000000000000
χ59666666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+352-2-20000-21+521−521+521−5200000000000000000000-2-2221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000000000000
χ60666666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−352-2-20000-21−521+521−521+520000000000000000000022-2-21−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−520000000000000
χ61666666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−352-2-20000-21−521+521−521+5200000000000000000000-2-2221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000000000000
χ626666-6-6−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3523+3523+3523−3523−352-2-2000021+521−521+521−52000000000000000000002-2-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000000000000
χ636666-6-6−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3523+3523+3523−3523−352-2-2000021+521−521+521−5200000000000000000000-222-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+520000000000000
χ646666-6-6−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3523−3523−3523+3523+352-2-2000021−521+521−521+52000000000000000000002-2-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+520000000000000
χ656666-6-6−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3523−3523−3523+3523+352-2-2000021−521+521−521+5200000000000000000000-222-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−520000000000000
χ666-66-60066-6-66-66-600002-20000022-2-200000000000000000000000000000000000000002-200-2200000
χ676-66-60066-6-66-66-600002-20000022-2-20000000000000000000000000000000000000000-22002-200000
χ6888-8-80088-8-8-88-8800000022-2-2000000022-22-22-2-200000000000000000000000000000000000000000
χ6988-8-800−2−25−2+252+252−252+25−2−252−25−2+2500000022-2-20000000−1−52−1+521+52−1−521−52−1+521+521−52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000000000000
χ7088-8-800−2−25−2+252+252−252+25−2−252−25−2+2500000022-2-20000000−1−52−1+521+52−1−521−52−1+521+521−52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000000000000
χ7188-8-800−2−25−2+252+252−252+25−2−252−25−2+25000000-4-44400000001+51−5−1−51+5−1+51−5−1−5−1+500000000000000000000000000000000000000000
χ7288-8-800−2+25−2−252−252+252−25−2+252+25−2−2500000022-2-20000000−1+52−1−521−52−1+521+52−1−521−521+52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000000000000
χ7388-8-800−2+25−2−252−252+252−25−2+252+25−2−2500000022-2-20000000−1+52−1−521−52−1+521+52−1−521−521+52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000000000000
χ7488-8-800−2+25−2−252−252+252−25−2+252+25−2−25000000-4-44400000001−51+5−1+51−5−1−51+5−1+5−1−500000000000000000000000000000000000000000
χ758-8-888-8−2−25−2+25−2−25−2+252+252+252−252−25−2−252+25−2+252−25002-22-2000002-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52000000000000000000000000000000000
χ768-8-888-8−2+25−2−25−2+25−2−252−252−252+252+25−2+252−25−2−252+25002-22-2000002-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52000000000000000000000000000000000
χ778-8-88-88−2−25−2+25−2−25−2+252+252+252−252−252+25−2−252−25−2+25002-22-200000-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52000000000000000000000000000000000
χ788-8-88-88−2+25−2−25−2+25−2−252−252−252+252+252−25−2+252+25−2−25002-22-200000-22−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−52000000000000000000000000000000000
χ7912-1212-1200−3−35−3+353+353−35−3−353+35−3+353−3500004-400000−1−5−1+51+51−5000000000000000000000000000000000000000000000000000
χ8012-1212-1200−3+35−3−353−353+35−3+353−35−3−353+3500004-400000−1+5−1−51−51+5000000000000000000000000000000000000000000000000000

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