Finite Group Databasebeta

← Group #13085799

Character table — Group #13085799

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222224444444444444444444888888888812121212121212121212121212121212202020202020202020242424242424243030366060607272120180
order1233455661010121236121212151515152020303030306060606015153030606060606060282424404040401201201201201201201201208242424242424242461010303030302442612202062
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111111-1-11-1-1-111-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-1-1-11-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-11
χ5111111111111111111111111111111111111111111-1111111111111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1
χ6111111111111111111111111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-111-11
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ922222−1−52−1+5222−1−52−1+522222222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000002−1−52−1+52−1−52−1−52−1+52−1+52002000−1−52−1+5200
χ1022222−1−52−1+5222−1−52−1+522222222−1−52−1+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+522-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520000000002−1−52−1+52−1−52−1−52−1+52−1+5200-20001+521−5200
χ1122222−1−52−1+5222−1−52−1+522222222−1−52−1+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+52-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000-21+521−521+521+521−521−5200-20001+521−5200
χ1222222−1−52−1+5222−1−52−1+522222222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52000000000-21+521−521+521+521−521−52002000−1−52−1+5200
χ1322222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000002−1+52−1−52−1+52−1+52−1−52−1−52002000−1+52−1−5200
χ1422222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−522-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520000000002−1+52−1−52−1+52−1+52−1−52−1−5200-20001−521+5200
χ1522222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−52-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000-21−521+521−521−521+521+5200-20001−521+5200
χ1622222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52000000000-21−521+521−521−521+521+52002000−1+52−1−5200
χ172222-2222222-2-222-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000002-2002-20000
χ182222-2222222-2-222-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000-2200-220000
χ19222-1222-122222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-12000000000000000222-1-1-1-1-1-1-122-1-1-1-100020000-10
χ20222-1222-122222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-12000000000000000-2-2-2111111-122-1-1-1-1000-2000010
χ21222-1222-122222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2000000000000000222-1-1-1-1-1-11-2-21111000-2000010
χ22222-1222-122222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2000000000000000-2-2-21111111-2-2111100020000-10
χ2322-122222-122-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-102-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-100000002200-1-10000
χ2422-122222-122-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-102-1-12222-1-1-1-1-1-1-1-1-211-2-211110000000-2-200110000
χ2522-122222-122-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-10-211-2-2-2-2111111112-1-122-1-1-1-10000000-2-200110000
χ2622-122222-122-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-10-211-2-2-2-211111111-211-2-2111100000002200-1-10000
χ2722-12-2222-12211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-21111003−3000033−3−333−3−303−30033−3−300000002-200-110000
χ2822-12-2222-12211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-21111003−3000033−3−333−3−30−3300−3−3330000000-22001-10000
χ2922-12-2222-12211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-2111100−330000−3−333−3−33303−30033−3−30000000-22001-10000
χ3022-12-2222-12211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-2111100−330000−3−333−3−3330−3300−3−33300000002-200-110000
χ314444-4−1−5−1+544−1−5−1+5-4-444-4-4-4−1−5−1+5−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−51+51+51−51−5000000000000000000000000000000000000000000
χ324444-4−1+5−1−544−1+5−1−5-4-444-4-4-4−1+5−1−5−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+51−51−51+51+5000000000000000000000000000000000000000000
χ33444-24−1−5−1+5-24−1−5−1+544-2-2-2-2-2−1−5−1+51+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−521+521+521−521−524000000000000000000000000-2−1−5−1+51+521+521−521−520000000000
χ34444-24−1−5−1+5-24−1−5−1+544-2-2-2-2-2−1−5−1+51+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521−521+521−521+521−521+521+521−521−52-400000000000000000000000021+51−5−1−52−1−52−1+52−1+520000000000
χ35444-24−1+5−1−5-24−1+5−1−544-2-2-2-2-2−1+5−1−51−521+52−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+521−521−521+521+524000000000000000000000000-2−1+5−1−51−521−521+521+520000000000
χ36444-24−1+5−1−5-24−1+5−1−544-2-2-2-2-2−1+5−1−51−521+52−1+5−1−5−1+5−1−51−521+52−1+5−1+5−1−5−1−51−521+521−521+521−521+521−521−521+521+52-400000000000000000000000021−51+5−1+52−1+52−1−52−1−520000000000
χ37444-2-444-2444-4-4-2-222244-2-2-4-444-2-2-4-4-4-4-2-2-2-2222222000000000000000000000000000000000000000000
χ38444-2-4−1−5−1+5-24−1−5−1+5-4-4-2-2222−1−5−1+51+521−521+51−5−1−5−1+51+521−521+51+51−51−51+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ1160000000000
χ39444-2-4−1−5−1+5-24−1−5−1+5-4-4-2-2222−1−5−1+51+521−521+51−5−1−5−1+51+521−521+51+51−51−51+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ1160000000000
χ40444-2-4−1+5−1−5-24−1+5−1−5-4-4-2-2222−1+5−1−51−521+521−51+5−1+5−1−51−521+521−51−51+51+51−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ920000000000
χ41444-2-4−1+5−1−5-24−1+5−1−5-4-4-2-2222−1+5−1−51−521+521−51+5−1+5−1−51−521+521−51−51+51+51−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ920000000000
χ4244-244−1−5−1+54-2−1−5−1+5-2-2-2-24-2-21+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1+51+521+521−521−521+521−521+521−52−1−5−1+51+521+521−521−5204-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−5200000000000000000000000000
χ4344-244−1−5−1+54-2−1−5−1+5-2-2-2-24-2-21+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1+51+521+521−521−521+521−521+521−52−1−5−1+51+521+521−521−520-4221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000
χ4444-244−1+5−1−54-2−1+5−1−5-2-2-2-24-2-21−521+52−1+5−1−5−1+5−1−51−521+52−1+5−1−51−521−521+521+521−521+521−521+52−1+5−1−51−521−521+521+5204-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+5200000000000000000000000000
χ4544-244−1+5−1−54-2−1+5−1−5-2-2-2-24-2-21−521+52−1+5−1−5−1+5−1−51−521+52−1+5−1−51−521−521+521+521−521+521−521+52−1+5−1−51−521−521+521+520-4221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ4644-24-4−1−5−1+54-2−1−5−1+522-2-2-4221+521−52−1−5−1+51+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+521+521−521+521−521+51−5−1−52−1−52−1+52−1+520023−230000−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+ζ9400000000000000000000000000
χ4744-24-4−1−5−1+54-2−1−5−1+522-2-2-4221+521−52−1−5−1+51+51−51+521−52−1−5−1+5−1−52−1−52−1+52−1+521+521−521+521−521+51−5−1−52−1−52−1+52−1+5200−23230000ζ22−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−ζ9400000000000000000000000000
χ4844-24-4−1+5−1−54-2−1+5−1−522-2-2-4221−521+52−1+5−1−51−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−521−521+521−521+521−51+5−1+52−1+52−1−52−1−520023−230000ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ11800000000000000000000000000
χ4944-24-4−1+5−1−54-2−1+5−1−522-2-2-4221−521+52−1+5−1−51−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−521−521+521−521+521−51+5−1+52−1+52−1−52−1−5200−23230000−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ11800000000000000000000000000
χ5044-2-2444-2-244-2-211-211-2-2-2-244-2-2-2-2-2-2-2-21111-2-2111100000000000000004-2-2-2-2111100000000000000000
χ5144-2-2444-2-244-2-211-211-2-2-2-244-2-2-2-2-2-2-2-21111-2-211110000000000000000-42222-1-1-1-100000000000000000
χ5244-2-2-444-2-24422112-1-1-2-2-2-2-4-4-2-2-2-22222111122-1-1-1-10000000000000000023−2300−3−33300000000000000000
χ5344-2-2-444-2-24422112-1-1-2-2-2-2-4-4-2-2-2-22222111122-1-1-1-100000000000000000−23230033−3−300000000000000000
χ544-444044-4-4-4-4004-4000444400-4-4-4-4000044-4-4000000000000000000000000000000000000000000000000
χ554-4440−1−5−1+5-4-41+51−5004-4000−1−5−1+5−1−5−1+5001+51−51+51−50000−1−5−1+51+51−50000000000ζ7−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+ζ103ζ7−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−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ11900000000000000000000000000
χ564-4440−1−5−1+5-4-41+51−5004-4000−1−5−1+5−1−5−1+5001+51−51+51−50000−1−5−1+51+51−50000000000−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−ζ103−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−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ11900000000000000000000000000
χ574-4440−1+5−1−5-4-41−51+5004-4000−1+5−1−5−1+5−1−5001−51+51−51+50000−1+5−1−51−51+50000000000−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−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−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ10300000000000000000000000000
χ584-4440−1+5−1−5-4-41−51+5004-4000−1+5−1−5−1+5−1−5001−51+51−51+50000−1+5−1−51−51+50000000000ζ29−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−ζ119ζ29−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+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ10300000000000000000000000000
χ594-44-20442-4-4-400-2200044-2-200-4-4220000-2-2220000000000000000000000000−i6i6−i6i6−i6i600000000000000000
χ604-44-20442-4-4-400-2200044-2-200-4-4220000-2-2220000000000000000000000000i6−i6i6−i6i6−i600000000000000000
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χ734-4-2-204422-4-4−23231-103−3-2-2-2-2002222−2323−232311-1-1003−33−30000000000000000000−i6i6ζ7+2ζ13+2ζ23+ζ29+ζ31+2ζ37+2ζ47+ζ53+2ζ61+2ζ71+ζ77+ζ79+ζ101+ζ103+2ζ109+2ζ119−ζ7−2ζ13−2ζ23−ζ29−ζ31−2ζ37−2ζ47−ζ53−2ζ61−2ζ71−ζ77−ζ79−ζ101−ζ103−2ζ109−2ζ119−2ζ7−ζ13−ζ23−2ζ29−2ζ31−ζ37−ζ47−2ζ53−ζ61−ζ71−2ζ77−2ζ79−2ζ101−2ζ103−ζ109−ζ1192ζ7+ζ13+ζ23+2ζ29+2ζ31+ζ37+ζ47+2ζ53+ζ61+ζ71+2ζ77+2ζ79+2ζ101+2ζ103+ζ109+ζ11900000000000000000
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χ7788-4-4-8−2−25−2+25-4-4−2−25−2+2544224-2-21+51−51+51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+5−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−52000000000000000000000000000000000000000000
χ7888-4-4-8−2+25−2−25-4-4−2+25−2−2544224-2-21−51+51−51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−5−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+52000000000000000000000000000000000000000000
χ798-88-40−2−25−2+254-82+252−2500-44000−2−25−2+251+51−5002+252−25−1−5−1+500001+51−5−1−5−1+5000000000000000000000000000000000000000000000000
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χ818-8-4-40−2−25−2+25442+252−2543−432-20−23231+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+2ζ94−1−52−1+521+521−5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000000000000
χ828-8-4-40−2−25−2+25442+252−25−43432-2023−231+51−51+51−500−1−5−1+5−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94−1−52−1+521+521−5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000000000000
χ838-8-4-40−2+25−2−25442−252+2543−432-20−23231−51+51−51+500−1+5−1−5−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118−1+52−1−521−521+5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000000000000
χ848-8-4-40−2+25−2−25442−252+25−43432-2023−231−51+51−51+500−1+5−1−5−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−1+52−1−521−521+5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000000000000

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