Finite Group Databasebeta

← Group #13085737

Character table — Group #13085737

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222244444444444444444466888888888881212121212121212121212121212121212151520202024242424242430303036404040606072729090120
order123345566101036121215151515202030303030606060608812151530306060606060604121224244040404012012012012012012012012044266202060606060212124666262020886
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111111-1-1-11-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111-1
χ4111111111111111111111111111111111111111111-1-1-111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11
χ511111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1111-11-1-1-1-1-1
χ611111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1111
χ711111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11
χ811111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-11111-1
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+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000−1−52−1+52−1−52−1−52−1+52−1+52000200000−1−52−1+52000
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+52-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000001+521−521+521+521−521−52000-2000001+521−52000
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+52222-2-21+521+521−521−521+521+521+521+521−521−521−521−5200000−1−52−1+52−1−52−1−52−1+52−1+52000-2000001+521−52000
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+52-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52000001+521−521+521+521−521−52000200000−1−52−1+52000
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+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000−1+52−1−52−1+52−1+52−1−52−1−52000200000−1+52−1−52000
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+52−1−52−1−52-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000001−521+521−521−521+521+52000-2000001−521+52000
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+52−1−52−1−52222-2-21−521−521+521+521−521−521−521−521+521+521+521+5200000−1+52−1−52−1+52−1+52−1−52−1−52000-2000001−521+52000
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+52−1−52−1−52-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52000001−521+521−521−521+521+52000200000−1+52−1−52000
χ172222-222222222-2-22222-2-22222-2-2-2-200-22222-2-2-2-2-2-20000000000000000022000000000-22200000-200000
χ182222-222222222-2-22222-2-22222-2-2-2-200-22222-2-2-2-2-2-200000000000000000-2-20000000002-2-200000200000
χ19222-1222-1222-1-12-12-12-122-1-122-1-1-1-122-1-1-1-1-122-1-1-1-1000-1-12222-1-1-1-1-1-1-1-1002220000000000-1-1-1200000-1
χ20222-1222-1222-1-12-12-12-122-1-122-1-1-1-122-1-1-1-1-122-1-1-1-1000-1-12222-1-1-1-1-1-1-1-100-2-2-20000000000111-2000001
χ21222-1222-1222-1-12-12-12-122-1-122-1-1-1-1-2-2-1-1-1-1-122-1-1-1-100011-2-2-2-211111111002220000000000-1-1-1-2000001
χ22222-1222-1222-1-12-12-12-122-1-122-1-1-1-1-2-2-1-1-1-1-122-1-1-1-100011-2-2-2-21111111100-2-2-20000000000111200000-1
χ2322-122222-122-1-1-12-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-12-1-100000000000000222-1-122-1-1-1-12-1-102-1-10-100000
χ2422-122222-122-1-1-12-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-12-1-100000000000000-2-2-21122-1-1-1-1-2110-2110100000
χ2522-122222-122-1-1-12-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-1-2110000000000000022-211-2-211112-1-10-2110-100000
χ2622-122222-122-1-1-12-12-122222-1-1222200-1-1-1-1-1-1-1-1-1-1-1-21100000000000000-2-22-1-1-2-21111-21102-1-10100000
χ2722-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-2001-1-1-1-11111110−i3i300000000000000220−i3i300−i3i3−i3i3-2-1-100−i3i30100000
χ2822-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-2001-1-1-1-11111110−i3i300000000000000-2-20i3−i300−i3i3−i3i321100i3−i30-100000
χ2922-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-2001-1-1-1-11111110i3−i300000000000000220i3−i300i3−i3i3−i3-2-1-100i3−i30100000
χ3022-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-2001-1-1-1-11111110i3−i300000000000000-2-20−i3i300i3−i3i3−i321100−i3i30-100000
χ312-222022-2-2-2-22-200222200-2-2-2-200002−2022-2-20000000002−22−22−222−2−222−2−22i−2i00000000002i−2i00000000−i2i20
χ322-222022-2-2-2-22-200222200-2-2-2-200002−2022-2-20000000002−22−22−222−2−222−2−2−2i2i0000000000−2i2i00000000i2−i20
χ332-222022-2-2-2-22-200222200-2-2-2-20000−22022-2-2000000000−22−22−22−2−222−2−2222i−2i00000000002i−2i00000000i2−i20
χ342-222022-2-2-2-22-200222200-2-2-2-20000−22022-2-2000000000−22−22−22−2−222−2−222−2i2i0000000000−2i2i00000000−i2i20
χ354444-4−1−5−1+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+51−51−5000000000000000000000000000000000000000000
χ364444-4−1+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+5000000000000000000000000000000000000000000
χ37444-24−1−5−1+5-24−1−5−1+5-2-24-2−1−51+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+521−521−52000-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−520000000000000000000000000
χ38444-24−1−5−1+5-24−1−5−1+5-2-24-2−1−51+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+521−521−52000221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000
χ39444-24−1+5−1−5-24−1+5−1−5-2-24-2−1+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+52000-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+520000000000000000000000000
χ40444-24−1+5−1−5-24−1+5−1−5-2-24-2−1+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+52000221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000
χ41444-2-444-2444-2-2-424-24-2-4-4-2-2442222002-2-2-2-2-4-42222000000000000000000000000000000000000000000
χ42444-2-4−1−5−1+5-24−1−5−1+5-2-2-42−1−51+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+52000000000ζ22+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−ζ940000000000000000000000000
χ43444-2-4−1−5−1+5-24−1−5−1+5-2-2-42−1−51+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+52000000000−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+ζ940000000000000000000000000
χ44444-2-4−1+5−1−5-24−1+5−1−5-2-2-42−1+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+52−1−52−1−52000000000−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−ζ1180000000000000000000000000
χ45444-2-4−1+5−1−5-24−1+5−1−5-2-2-42−1+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+52−1−52−1−52000000000ζ14+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+ζ1180000000000000000000000000
χ4644-244−1−5−1+54-2−1−5−1+5-2-2-241+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+521−521−524-2-20000000000000000000−1−5−1+51+521+521−521−5200000000000000
χ4744-244−1−5−1+54-2−1−5−1+5-2-2-241+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+521−521−52-42200000000000000000001+51−5−1−52−1−52−1+52−1+5200000000000000
χ4844-244−1+5−1−54-2−1+5−1−5-2-2-241−52−1+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+524-2-20000000000000000000−1+5−1−51−521−521+521+5200000000000000
χ4944-244−1+5−1−54-2−1+5−1−5-2-2-241−52−1+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+52-42200000000000000000001−51+5−1+52−1+52−1−52−1−5200000000000000
χ5044-24-4−1−5−1+54-2−1−5−1+5-2-22-41+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+520−2i32i3000000000000000000000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ11600000000000000
χ5144-24-4−1−5−1+54-2−1−5−1+5-2-22-41+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+5202i3−2i3000000000000000000000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ11600000000000000
χ5244-24-4−1+5−1−54-2−1+5−1−5-2-22-41−52−1+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+52−1−52−1−520−2i32i3000000000000000000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ9200000000000000
χ5344-24-4−1+5−1−54-2−1+5−1−5-2-22-41−52−1+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+52−1−52−1−5202i3−2i3000000000000000000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ9200000000000000
χ5444-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-20011111-2-2111100000000000000000004-2-20000000000-2110000000
χ5544-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-20011111-2-211110000000000000000000-42200000000002-1-10000000
χ5644-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2222200-1111122-1-1-1-100000000000000000000−2i32i300000000000i3−i30000000
χ5744-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-2222200-1111122-1-1-1-1000000000000000000002i3−2i300000000000−i3i30000000
χ584-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51−51+51−5000022−220−1−5−1+51+51−500000000022−22−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+ζ1190000000000000000000000000
χ594-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51−51+51−50000−22220−1−5−1+51+51−5000000000−2222ζ7−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−ζ1190000000000000000000000000
χ604-4440−1+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+500000000022−22ζ29−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+ζ1030000000000000000000000000
χ614-4440−1+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+5000000000−2222−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−ζ1030000000000000000000000000
χ624-44-20442-4-4-4-22004-24-20022-4-4000022−220-2-222000000000−2222−2222−22−2−222−2−2220000000000000000000000000
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χ644-44-20−1−5−1+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−ζ94000−22−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−ζ1190000000000000000000000000
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χ664-44-20−1−5−1+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+ζ94000−22−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−ζ790000000000000000000000000
χ674-44-20−1−5−1+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+ζ940002−2ζ7−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+ζ790000000000000000000000000
χ684-44-20−1+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−ζ118000−22ζ29−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+ζ770000000000000000000000000
χ694-44-20−1+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−ζ1180002−2−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−ζ770000000000000000000000000
χ704-44-20−1+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+ζ118000−22ζ29−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−ζ1030000000000000000000000000
χ714-44-20−1+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+ζ1180002−2−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+ζ1030000000000000000000000000
χ724-4-24044-42-4-4-2200-24-2400-4-4220000000-2-222000000000000000000000004i−4i0000000000−2i2i00000000000
χ734-4-24044-42-4-4-2200-24-2400-4-4220000000-2-22200000000000000000000000−4i4i00000000002i−2i00000000000
χ7488-4-48−2−25−2+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+52000000000000000000000000000000000000000000
χ7588-4-48−2+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+52−1−52−1−52000000000000000000000000000000000000000000
χ7688-4-4-8−2−25−2+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+521−521−52000000000000000000000000000000000000000000
χ7788-4-4-8−2+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+52000000000000000000000000000000000000000000
χ788-8-480−2−25−2+25-842+252−25-44001+5−2−251−5−2+25002+252−25−1−5−1+500000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ798-8-480−2+25−2−25-842−252+25-44001−5−2+251+5−2−25002−252+25−1+5−1−500000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ808-8-4-408844-8-82-200-4-4-4-4004444000000022-2-2000000000000000000000000000000000000000000000000
χ818-8-4-40−2−25−2+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+ζ94000000000000000000000000000000000000000000
χ828-8-4-40−2−25−2+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−ζ94000000000000000000000000000000000000000000
χ838-8-4-40−2+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+ζ118000000000000000000000000000000000000000000
χ848-8-4-40−2+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−ζ118000000000000000000000000000000000000000000

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