Finite Group Databasebeta

← Group #13085781

Character table — Group #13085781

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444444444488888888888121212121212121212121212121212121212202020242424242424303030303640404060607272120180
order123345566101036121215151515202030303030606060601215153030606060606060481212242440404040120120120120120120120120266202060606060241212266626101068
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1111111-1-1-1-11-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1111-11-1-1-1-1
χ411111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111
χ51111111111111111111111111111111111111111-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1
χ61111111111111111111111111111111111111111-11-1-111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111-1
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+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000−1−52−1+52−1−52−1−52−1+52−1+520000200000−1−52−1+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+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52000−1−52−1+52−1−52−1−52−1+52−1+520000-2000001+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+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520001+521−521+521+521−521−520000-2000001+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+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520001+521−521+521+521−521−520000200000−1−52−1+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+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000−1+52−1−52−1+52−1+52−1−52−1−520000200000−1+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+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52000−1+52−1−52−1+52−1+52−1−52−1−520000-2000001−521+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+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520001−521+521−521−521+521+520000-2000001−521+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+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520001−521+521−521−521+521+520000200000−1+52−1−5200
χ172222-222222222-2-22222-2-22222-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000000002-2-2-20000020000
χ182222-222222222-2-22222-2-22222-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000-222200000-20000
χ19222-1222-1222-1-12-12-12-122-1-122-1-1-1-1-1-1-1-1-122-1-1-1-10200-1-12222-1-1-1-1-1-1-1-122200000000000-1-1-12000-10
χ20222-1222-1222-1-12-12-12-122-1-122-1-1-1-1-1-1-1-1-122-1-1-1-10200-1-12222-1-1-1-1-1-1-1-1-2-2-200000000000111-200010
χ21222-1222-1222-1-12-12-12-122-1-122-1-1-1-1-1-1-1-1-122-1-1-1-10-20011-2-2-2-21111111122200000000000-1-1-1-200010
χ22222-1222-1222-1-12-12-12-122-1-122-1-1-1-1-1-1-1-1-122-1-1-1-10-20011-2-2-2-211111111-2-2-2000000000001112000-10
χ2322-122222-122-1-1-12-12-122222-1-12222-1-1-1-1-1-1-1-1-1-1-120-1-1000000000000002-1-122-1-1-1-122-1-102-1-10-10000
χ2422-122222-122-1-1-12-12-122222-1-12222-1-1-1-1-1-1-1-1-1-1-120-1-100000000000000-21122-1-1-1-1-2-2110-211010000
χ2522-122222-122-1-1-12-12-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2011000000000000002-1-1-2-21111-2-21102-1-1010000
χ2622-122222-122-1-1-12-12-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-201100000000000000-211-2-2111122-1-10-2110-10000
χ2722-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-21-1-1-1-111111100−i3i3000000000000000−i3i300−i3i3−i3i32-21100−i3i30-10000
χ2822-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-21-1-1-1-111111100−i3i3000000000000000i3−i300−i3i3−i3i3-22-1-100i3−i3010000
χ2922-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-21-1-1-1-111111100i3−i3000000000000000−i3i300i3−i3i3−i3-22-1-100−i3i3010000
χ3022-12-2222-122-1-11-2-12-12-2-222-1-1-2-2-2-21-1-1-1-111111100i3−i3000000000000000i3−i300i3−i3i3−i32-21100i3−i30-10000
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+51−51−5-4−1−5−1+5−1−5−1+51+51−51+51+51−51−500000000000000000000000000000000000000000
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+5-4−1+5−1−5−1+5−1−51−51+51−51−51+51+500000000000000000000000000000000000000000
χ33444-24−1−5−1+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+521−521−52-21+521−521+521−52−1−5−1+51+521+521−521−520400-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−5200000000000000000000000
χ34444-24−1−5−1+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+521−521−52-21+521−521+521−52−1−5−1+51+521+521−521−520-400221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000
χ35444-24−1+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+52-21−521+521−521+52−1+5−1−51−521−521+521+520400-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+5200000000000000000000000
χ36444-24−1+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+52-21−521+521−521+52−1+5−1−51−521−521+521+520-400221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000
χ37444-2-444-2444-2-2-424-24-2-4-4-2-24422222-2-2-2-2-4-4222200000000000000000000000000000000000000000
χ38444-2-4−1−5−1+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+5221+521−521+521−521+51−5−1−52−1−52−1+52−1+520000000000ζ22+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−ζ9400000000000000000000000
χ39444-2-4−1−5−1+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+5221+521−521+521−521+51−5−1−52−1−52−1+52−1+520000000000−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+ζ9400000000000000000000000
χ40444-2-4−1+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+52−1−52−1−5221−521+521−521+521−51+5−1+52−1+52−1−52−1−520000000000−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−ζ11800000000000000000000000
χ41444-2-4−1+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+52−1−52−1−5221−521+521−521+521−51+5−1+52−1+52−1−52−1−520000000000ζ14+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+ζ11800000000000000000000000
χ4244-244−1−5−1+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+5-21+521−521+521−521+521−521+521+521−521−5240-2-200000000000000000−1−5−1+51+521+521−521−5200000000000000
χ4344-244−1−5−1+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+5-21+521−521+521−521+521−521+521+521−521−52-4022000000000000000001+51−5−1−52−1−52−1+52−1+5200000000000000
χ4444-244−1+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+5−1−5−1−5-21−521+521−521+521−521+521−521−521+521+5240-2-200000000000000000−1+5−1−51−521−521+521+5200000000000000
χ4544-244−1+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+5−1−5−1−5-21−521+521−521+521−521+521−521−521+521+52-4022000000000000000001−51+5−1+52−1+52−1−52−1−5200000000000000
χ4644-24-4−1−5−1+54-2−1−5−1+5-2-22-41+52−1−51−52−1+51+51−5−1−5−1+51+521−521+51+51−51−521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+5200−2i32i30000000000000000000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ11600000000000000
χ4744-24-4−1−5−1+54-2−1−5−1+5-2-22-41+52−1−51−52−1+51+51−5−1−5−1+51+521−521+51+51−51−521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52002i3−2i30000000000000000000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ11600000000000000
χ4844-24-4−1+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+521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−5200−2i32i30000000000000000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ9200000000000000
χ4944-24-4−1+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+521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52002i3−2i30000000000000000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ9200000000000000
χ5044-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-211111-2-211110000000000000000004-2-200000000000-211000000
χ5144-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-211111-2-21111000000000000000000-422000000000002-1-1000000
χ5244-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-22222-1111122-1-1-1-10000000000000000000−2i32i3000000000000i3−i3000000
χ5344-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-22222-1111122-1-1-1-100000000000000000002i3−2i3000000000000−i3i3000000
χ544-444044-4-4-4-44-400444400-4-4-4-40000044-4-400000000000000000000000000000000000000000000000
χ554-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51−51+51−500000−1−5−1+51+51−5000000000000ζ7−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+ζ11900000000000000000000000
χ564-4440−1−5−1+5-4-41+51−54-400−1−5−1−5−1+5−1+5001+51−51+51−500000−1−5−1+51+51−5000000000000−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−ζ11900000000000000000000000
χ574-4440−1+5−1−5-4-41−51+54-400−1+5−1+5−1−5−1−5001−51+51−51+500000−1+5−1−51−51+5000000000000−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−ζ10300000000000000000000000
χ584-4440−1+5−1−5-4-41−51+54-400−1+5−1+5−1−5−1−5001−51+51−51+500000−1+5−1−51−51+5000000000000ζ29−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+ζ10300000000000000000000000
χ594-44-20442-4-4-4-22004-24-20022-4-400000-2-2220000000000−i6i60000−i6i6i6−i6i6−i6−i6i600000000000000000000000
χ604-44-20442-4-4-4-22004-24-20022-4-400000-2-2220000000000i6−i60000i6−i6−i6i6−i6i6i6−i600000000000000000000000
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−ζ9401+521−52−1−52−1+5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ940000−i6i6ζ7−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−ζ77ζ7−ζ13−ζ23+ζ77−ζ37−ζ47+ζ53+ζ103ζ37+ζ47−ζ53−ζ103ζ29−ζ61−ζ71+ζ79−ζ29+ζ61+ζ71−ζ79−ζ31−ζ101+ζ109+ζ119ζ31+ζ101−ζ109−ζ11900000000000000000000000
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−ζ9401+521−52−1−52−1+5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ940000i6−i6−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−ζ7+ζ13+ζ23−ζ77ζ37+ζ47−ζ53−ζ103−ζ37−ζ47+ζ53+ζ103−ζ29+ζ61+ζ71−ζ79ζ29−ζ61−ζ71+ζ79ζ31+ζ101−ζ109−ζ119−ζ31−ζ101+ζ109+ζ11900000000000000000000000
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+ζ9401+521−52−1−52−1+5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ940000−i6i6−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−ζ119ζ37+ζ47−ζ53−ζ103−ζ37−ζ47+ζ53+ζ103ζ7−ζ13−ζ23+ζ77−ζ7+ζ13+ζ23−ζ77ζ31+ζ101−ζ109−ζ119−ζ31−ζ101+ζ109+ζ119−ζ29+ζ61+ζ71−ζ79ζ29−ζ61−ζ71+ζ7900000000000000000000000
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+ζ9401+521−52−1−52−1+5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ940000i6−i6ζ7−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−ζ37−ζ47+ζ53+ζ103ζ37+ζ47−ζ53−ζ103−ζ7+ζ13+ζ23−ζ77ζ7−ζ13−ζ23+ζ77−ζ31−ζ101+ζ109+ζ119ζ31+ζ101−ζ109−ζ119ζ29−ζ61−ζ71+ζ79−ζ29+ζ61+ζ71−ζ7900000000000000000000000
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−ζ11801−521+52−1+52−1−5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ1180000−i6i6ζ29−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+ζ61+ζ71−ζ79ζ29−ζ61−ζ71+ζ79ζ31+ζ101−ζ109−ζ119−ζ31−ζ101+ζ109+ζ119−ζ37−ζ47+ζ53+ζ103ζ37+ζ47−ζ53−ζ103−ζ7+ζ13+ζ23−ζ77ζ7−ζ13−ζ23+ζ7700000000000000000000000
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−ζ11801−521+52−1+52−1−5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ1180000i6−i6−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−ζ61−ζ71+ζ79−ζ29+ζ61+ζ71−ζ79−ζ31−ζ101+ζ109+ζ119ζ31+ζ101−ζ109−ζ119ζ37+ζ47−ζ53−ζ103−ζ37−ζ47+ζ53+ζ103ζ7−ζ13−ζ23+ζ77−ζ7+ζ13+ζ23−ζ7700000000000000000000000
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+ζ11801−521+52−1+52−1−5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180000−i6i6−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−ζ31−ζ101+ζ109+ζ119ζ31+ζ101−ζ109−ζ119ζ29−ζ61−ζ71+ζ79−ζ29+ζ61+ζ71−ζ79ζ7−ζ13−ζ23+ζ77−ζ7+ζ13+ζ23−ζ77ζ37+ζ47−ζ53−ζ103−ζ37−ζ47+ζ53+ζ10300000000000000000000000
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+ζ11801−521+52−1+52−1−5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180000i6−i6ζ29−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+ζ103ζ31+ζ101−ζ109−ζ119−ζ31−ζ101+ζ109+ζ119−ζ29+ζ61+ζ71−ζ79ζ29−ζ61−ζ71+ζ79−ζ7+ζ13+ζ23−ζ77ζ7−ζ13−ζ23+ζ77−ζ37−ζ47+ζ53+ζ103ζ37+ζ47−ζ53−ζ10300000000000000000000000
χ694-4-24044-42-4-4-2200-24-2400-4-42200000-2-2220000000000000000000000000000000000023−230000000000
χ704-4-24044-42-4-4-2200-24-2400-4-42200000-2-22200000000000000000000000000000000000−23230000000000
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+51−51−52−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000
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+52−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000
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+5-2−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−5200000000000000000000000000000000000000000
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+5−1−5−1−5-2−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+5200000000000000000000000000000000000000000
χ758-8-480−2−25−2+25-842+252−25-44001+5−2−251−5−2+25002+252−25−1−5−1+5000001+51−5−1−5−1+500000000000000000000000000000000000000000000000
χ768-8-480−2+25−2−25-842−252+25-44001−5−2+251+5−2−25002−252+25−1+5−1−5000001−51+5−1+5−1−500000000000000000000000000000000000000000000000
χ778-8-4-408844-8-82-200-4-4-4-40044440000022-2-200000000000000000000000000000000000000000000000
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+2ζ46−2ζ86−2ζ940−1−52−1+521+521−5200−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ9400000000000000000000000000000000000000000
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+2ζ940−1−52−1+521+521−5200ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ9400000000000000000000000000000000000000000
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+2ζ38−2ζ62−2ζ1180−1+52−1−521−521+5200ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ11800000000000000000000000000000000000000000
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+2ζ1180−1+52−1−521−521+5200−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ11800000000000000000000000000000000000000000

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