Finite Group Databasebeta

← Group #13085743

Character table — Group #13085743

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444444444466888888888881212121212121212121212121212122024242424242424303036404040404545606060727290120
order12334556610103612121515151520203030303060606060881215153030606060606060424244040404012012012012012012012012021220206060606088466664422424202026
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11111111-1-11-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-11
χ4111111111111111111111111111111111111111111-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-11-1
χ511111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-111
χ711111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111111-1-1-1111-1
χ811111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-11
χ922222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5202−1−52−1+52−1−52−1−52−1+52−1+52002000000000−1−52−1+5200
χ1022222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-21+521−521+521+521−521−5200-20000000001+521−5200
χ1122222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-21+521+521−521−521+521+521+521+521−521−521−521−5202−1−52−1+52−1−52−1−52−1+52−1+5200-20000000001+521−5200
χ1222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520-21+521−521+521+521−521−52002000000000−1−52−1+5200
χ1322222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5202−1+52−1−52−1+52−1+52−1−52−1−52002000000000−1+52−1−5200
χ1422222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-21−521+521−521−521+521+5200-20000000001−521+5200
χ1522222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-21−521−521+521+521−521−521−521−521+521+521+521+5202−1+52−1−52−1+52−1+52−1−52−1−5200-20000000001−521+5200
χ1622222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520-21−521+521−521−521+521+52002000000000−1+52−1−5200
χ172222-222222222-2-22222-2-22222-2-2-2-200-22222-2-2-2-2-2-20000000000000000000000000000002200000-20
χ182222-222222222-2-22222-2-22222-2-2-2-200-22222-2-2-2-2-2-2000000000000000000000000000000-2-20000020
χ19222-1222-1222-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-122-1-1-1-10-1-12222-1-1-1-1-1-1-1-1200000000002-1-1-100200000-1
χ20222-1222-1222-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-122-1-1-1-10-1-12222-1-1-1-1-1-1-1-1-20000000000-211100-2000001
χ21222-1222-1222-1-1-122-12-122-1-122-1-1-1-1-2-2-1-1-1-1-122-1-1-1-1011-2-2-2-211111111200000000002-1-1-100-2000001
χ22222-1222-1222-1-1-122-12-122-1-122-1-1-1-1-2-2-1-1-1-1-122-1-1-1-1011-2-2-2-211111111-20000000000-211100200000-1
χ2322-122222-122-1-12-1-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-12000000000000002-122-1-1-1-1220-12-1-1000-1-10000
χ2422-122222-122-1-12-1-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-1200000000000000-2-122-1-1-1-1-2-201-211000110000
χ2522-122222-122-1-12-1-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-1-20000000000000021-2-21111-2-20-12-1-1000110000
χ2622-122222-122-1-12-1-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-1-200000000000000-21-2-211112201-211000-1-10000
χ272-222022-2-2-2-22-200222200-2-2-2-200002−2022-2-200000002−22−22−222−2−222−2−200000000−i2i2000002i−2i0−i2i20000
χ282-222022-2-2-2-22-200222200-2-2-2-200002−2022-2-200000002−22−22−222−2−222−2−200000000i2−i200000−2i2i0i2−i20000
χ292-222022-2-2-2-22-200222200-2-2-2-20000−22022-2-20000000−22−22−22−2−222−2−22200000000−i2i200000−2i2i0−i2i20000
χ302-222022-2-2-2-22-200222200-2-2-2-20000−22022-2-20000000−22−22−22−2−222−2−22200000000i2−i2000002i−2i0i2−i20000
χ314444-4−1−5−1+544−1−5−1+544-4-4−1−5−1−5−1+5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−500-4−1−5−1+5−1−5−1+51+51−51+51+51−51−5000000000000000000000000000000000000000
χ324444-4−1+5−1−544−1+5−1−544-4-4−1+5−1+5−1−5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+500-4−1+5−1−5−1+5−1−51−51+51−51−51+51+5000000000000000000000000000000000000000
χ33444-24−1−5−1+5-24−1−5−1+5-2-2-24−1−51+52−1+51−52−1−5−1+51+521−52−1−5−1+51+521+521−521−5244-21+521−521+521−52−1−5−1+51+521+521−521−520-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−52000000000000000000000000
χ34444-24−1−5−1+5-24−1−5−1+5-2-2-24−1−51+52−1+51−52−1−5−1+51+521−52−1−5−1+51+521+521−521−52-4-4-21+521−521+521−52−1−5−1+51+521+521−521−520221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000
χ35444-24−1+5−1−5-24−1+5−1−5-2-2-24−1+51−52−1−51+52−1+5−1−51−521+52−1+5−1−51−521−521+521+5244-21−521+521−521+52−1+5−1−51−521−521+521+520-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+52000000000000000000000000
χ36444-24−1+5−1−5-24−1+5−1−5-2-2-24−1+51−52−1−51+52−1+5−1−51−521+52−1+5−1−51−521−521+521+52-4-4-21−521+521−521+52−1+5−1−51−521−521+521+520221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000
χ37444-2-444-2444-2-22-44-24-2-4-4-2-2442222002-2-2-2-2-4-42222000000000000000000000000000000000000000
χ38444-2-4−1−5−1+5-24−1−5−1+5-2-22-4−1−51+52−1+51−521+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+520021+521−521+521−521+51−5−1−52−1−52−1+52−1+520000000ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000
χ39444-2-4−1−5−1+5-24−1−5−1+5-2-22-4−1−51+52−1+51−521+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+520021+521−521+521−521+51−5−1−52−1−52−1+52−1+520000000−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000
χ40444-2-4−1+5−1−5-24−1+5−1−5-2-22-4−1+51−52−1−51+521−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−520021−521+521−521+521−51+5−1+52−1+52−1−52−1−520000000−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000
χ41444-2-4−1+5−1−5-24−1+5−1−5-2-22-4−1+51−52−1−51+521−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−520021−521+521−521+521−51+5−1+52−1+52−1−52−1−520000000ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000
χ4244-244−1−5−1+54-2−1−5−1+5-2-24-21+52−1−51−52−1+5−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+500-21+521−521+521−521+521−521+521+521−521−524000000000000000-2−1−5−1+51+521+521−521−520000000000000000
χ4344-244−1−5−1+54-2−1−5−1+5-2-24-21+52−1−51−52−1+5−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+500-21+521−521+521−521+521−521+521+521−521−52-400000000000000021+51−5−1−52−1−52−1+52−1+520000000000000000
χ4444-244−1+5−1−54-2−1+5−1−5-2-24-21−52−1+51+52−1−5−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−500-21−521+521−521+521−521+521−521−521+521+524000000000000000-2−1+5−1−51−521−521+521+520000000000000000
χ4544-244−1+5−1−54-2−1+5−1−5-2-24-21−52−1+51+52−1−5−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−500-21−521+521−521+521−521+521−521−521+521+52-400000000000000021−51+5−1+52−1+52−1−52−1−520000000000000000
χ4644-24-4444-244-2-2-42-24-24-4-444-2-2-4-4-4-4002-2-2-2-2222222000000000000000000000000000000000000000
χ4744-24-4−1−5−1+54-2−1−5−1+5-2-2-421+52−1−51−52−1+51+51−5−1−5−1+51+521−521+51+51−51−50021+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ1160000000000000000
χ4844-24-4−1−5−1+54-2−1−5−1+5-2-2-421+52−1−51−52−1+51+51−5−1−5−1+51+521−521+51+51−51−50021+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ1160000000000000000
χ4944-24-4−1+5−1−54-2−1+5−1−5-2-2-421−52−1+51+52−1−51−51+5−1+5−1−51−521+521−51−51+51+50021−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ920000000000000000
χ5044-24-4−1+5−1−54-2−1+5−1−5-2-2-421−52−1+51+52−1−51−51+5−1+5−1−51−521+521−51−51+51+50021−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ920000000000000000
χ5144-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-20011111-2-2111100000000000000040000000000-2-211000000000
χ5244-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-20011111-2-21111000000000000000-4000000000022-1-1000000000
χ5344-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2222200-1111122-1-1-1-100000000000000000000000000003-3000000000
χ5444-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2222200-1111122-1-1-1-10000000000000000000000000000-33000000000
χ554-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51−51+51−5000022−220−1−5−1+51+51−5000000022−22−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−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119000000000000000000000000
χ564-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51−51+51−50000−22220−1−5−1+51+51−50000000−2222ζ7−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+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119000000000000000000000000
χ574-4440−1+5−1−5-4-41−51+54-400−1+5−1+5−1−5−1−5001−51+51−51+5000022−220−1+5−1−51−51+5000000022−22ζ29−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−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103000000000000000000000000
χ584-4440−1+5−1−5-4-41−51+54-400−1+5−1+5−1−5−1−5001−51+51−51+50000−22220−1+5−1−51−51+50000000−2222−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+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103000000000000000000000000
χ594-44-20442-4-4-4-22004-24-20022-4-4000022−220-2-2220000000−2222−2222−22−2−222−2−222000000000000000000000000
χ604-44-20442-4-4-4-22004-24-20022-4-40000−22220-2-22200000002−2−2222−222222−2−222−2−2000000000000000000000000
χ614-44-20−1−5−1+52-41+51−5-2200−1−51+52−1+51−5200−1−52−1+521+51−5ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ9422−2201+521−52−1−52−1+5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ940−22−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−ζ77−ζ37+ζ47−ζ53+ζ103−ζ7+ζ13−ζ23+ζ77ζ37−ζ47+ζ53−ζ103−ζ29−ζ61+ζ71+ζ79ζ31−ζ101−ζ109+ζ119ζ29+ζ61−ζ71−ζ79−ζ31+ζ101+ζ109−ζ119000000000000000000000000
χ624-44-20−1−5−1+52-41+51−5-2200−1−51+52−1+51−5200−1−52−1+521+51−5ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−222201+521−52−1−52−1+5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ9402−2ζ7−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+ζ77ζ37−ζ47+ζ53−ζ103ζ7−ζ13+ζ23−ζ77−ζ37+ζ47−ζ53+ζ103ζ29+ζ61−ζ71−ζ79−ζ31+ζ101+ζ109−ζ119−ζ29−ζ61+ζ71+ζ79ζ31−ζ101−ζ109+ζ119000000000000000000000000
χ634-44-20−1−5−1+52-41+51−5-2200−1−51+52−1+51−5200−1−52−1+521+51−5−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ9422−2201+521−52−1−52−1+5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ940−22−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−ζ37+ζ47−ζ53+ζ103ζ7−ζ13+ζ23−ζ77ζ37−ζ47+ζ53−ζ103−ζ7+ζ13−ζ23+ζ77ζ31−ζ101−ζ109+ζ119−ζ29−ζ61+ζ71+ζ79−ζ31+ζ101+ζ109−ζ119ζ29+ζ61−ζ71−ζ79000000000000000000000000
χ644-44-20−1−5−1+52-41+51−5-2200−1−51+52−1+51−5200−1−52−1+521+51−5−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−222201+521−52−1−52−1+5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ9402−2ζ7−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−ζ119ζ37−ζ47+ζ53−ζ103−ζ7+ζ13−ζ23+ζ77−ζ37+ζ47−ζ53+ζ103ζ7−ζ13+ζ23−ζ77−ζ31+ζ101+ζ109−ζ119ζ29+ζ61−ζ71−ζ79ζ31−ζ101−ζ109+ζ119−ζ29−ζ61+ζ71+ζ79000000000000000000000000
χ654-44-20−1+5−1−52-41−51+5-2200−1+51−52−1−51+5200−1+52−1−521−51+5−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ11822−2201−521+52−1+52−1−5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ1180−22ζ29−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+ζ103−ζ29−ζ61+ζ71+ζ79ζ31−ζ101−ζ109+ζ119ζ29+ζ61−ζ71−ζ79−ζ31+ζ101+ζ109−ζ119−ζ37+ζ47−ζ53+ζ103ζ7−ζ13+ζ23−ζ77ζ37−ζ47+ζ53−ζ103−ζ7+ζ13−ζ23+ζ77000000000000000000000000
χ664-44-20−1+5−1−52-41−51+5-2200−1+51−52−1−51+5200−1+52−1−521−51+5−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−222201−521+52−1+52−1−5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ11802−2−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−ζ103ζ29+ζ61−ζ71−ζ79−ζ31+ζ101+ζ109−ζ119−ζ29−ζ61+ζ71+ζ79ζ31−ζ101−ζ109+ζ119ζ37−ζ47+ζ53−ζ103−ζ7+ζ13−ζ23+ζ77−ζ37+ζ47−ζ53+ζ103ζ7−ζ13+ζ23−ζ77000000000000000000000000
χ674-44-20−1+5−1−52-41−51+5-2200−1+51−52−1−51+5200−1+52−1−521−51+5ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ11822−2201−521+52−1+52−1−5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180−22ζ29−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+ζ103ζ31−ζ101−ζ109+ζ119−ζ29−ζ61+ζ71+ζ79−ζ31+ζ101+ζ109−ζ119ζ29+ζ61−ζ71−ζ79ζ7−ζ13+ζ23−ζ77−ζ37+ζ47−ζ53+ζ103−ζ7+ζ13−ζ23+ζ77ζ37−ζ47+ζ53−ζ103000000000000000000000000
χ684-44-20−1+5−1−52-41−51+5-2200−1+51−52−1−51+5200−1+52−1−521−51+5ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−222201−521+52−1+52−1−5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ11802−2−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−ζ31+ζ101+ζ109−ζ119ζ29+ζ61−ζ71−ζ79ζ31−ζ101−ζ109+ζ119−ζ29−ζ61+ζ71+ζ79−ζ7+ζ13−ζ23+ζ77ζ37−ζ47+ζ53−ζ103ζ7−ζ13+ζ23−ζ77−ζ37+ζ47−ζ53+ζ103000000000000000000000000
χ694-4-24044-42-4-4-2200-24-2400-4-4220000000-2-22200000000000000000000000000000−2i22i200000000i2−i20000
χ704-4-24044-42-4-4-2200-24-2400-4-4220000000-2-222000000000000000000000000000002i2−2i200000000−i2i20000
χ7188-4-48−2−25−2+25-4-4−2−25−2+2522-4-41+51+51−51−5−2−25−2+251+51−51+51−51+51+51−51−5002−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000
χ7288-4-48−2+25−2−25-4-4−2+25−2−2522-4-41−51−51+51+5−2+25−2−251−51+51−51+51−51−51+51+5002−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000
χ7388-4-4-8−2−25−2+25-4-4−2−25−2+2522441+51+51−51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+500-2−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−52000000000000000000000000000000000000000
χ7488-4-4-8−2+25−2−25-4-4−2+25−2−2522441−51−51+51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−500-2−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+52000000000000000000000000000000000000000
χ758-8-480−2−25−2+25-842+252−25-44001+5−2−251−5−2+25002+252−25−1−5−1+500000001+51−5−1−5−1+5000000000000000000000000000000000000000000000
χ768-8-480−2+25−2−25-842−252+25-44001−5−2+251+5−2−25002−252+25−1+5−1−500000001−51+5−1+5−1−5000000000000000000000000000000000000000000000
χ778-8-4-408844-8-82-200-4-4-4-4004444000000022-2-2000000000000000000000000000000000000000000000
χ788-8-4-40−2−25−2+25442+252−252-2001+51+51−51−500−1−5−1+5−1−5−1+52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000−1−52−1+521+521−5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000000000000000000
χ798-8-4-40−2−25−2+25442+252−252-2001+51+51−51−500−1−5−1+5−1−5−1+5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000−1−52−1+521+521−5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000000000000000000
χ808-8-4-40−2+25−2−25442−252+252-2001−51−51+51+500−1+5−1−5−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000−1+52−1−521−521+5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000000000000000000
χ818-8-4-40−2+25−2−25442−252+252-2001−51−51+51+500−1+5−1−5−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000−1+52−1−521−521+5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000000000000000000

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