Finite Group Databasebeta

← Group #13085789

Character table — Group #13085789

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222224444444444444444448888888888812121212121212121212121212121212202424242424242436404040406060606072729090120
order12334556610103612121515151520203030303060606060121515303060606060606028242440404040120120120120120120120120461010303030302121212122824241010246
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1111
χ51111111111111111111111111111111111111111-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11
χ61111111111111111111111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-1-1-11111-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
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+522−1−52−1+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+5202−1−52−1+52−1−52−1−52−1+52−1+52200000000−1−52−1+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+522−1−52−1+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+521−521−521−521−5202−1−52−1+52−1−52−1−52−1+52−1+52-2000000001+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+522−1−52−1+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+520-21+521−521+521+521−521−52-2000000001+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+522−1−52−1+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+521−521−521−521−520-21+521−521+521+521−521−52200000000−1−52−1+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+52−1−52−1−522−1+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+52−1−52−1−52−1−52−1−5202−1+52−1−52−1+52−1+52−1−52−1−52200000000−1+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+52−1−52−1−522−1+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+5202−1+52−1−52−1+52−1+52−1−52−1−52-2000000001−521+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+52−1−52−1−522−1+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+52−1−52−1−52−1−52−1−520-21−521+521−521−521+521+52-2000000001−521+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+52−1−52−1−522−1+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+520-21−521+521−521−521+521+52200000000−1+52−1−52000
χ172222-222222222-2-22222-2-22222-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000002-20
χ182222-222222222-2-22222-2-22222-2-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000000-220
χ19222-12222-122-1-1-12-1-12222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-102-1-12222-1-1-1-1-1-1-1-12000000002-1-1-120000000-1
χ20222-12222-122-1-1-12-1-12222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-102-1-12222-1-1-1-1-1-1-1-1-200000000-2111-200000001
χ21222-12222-122-1-1-12-1-12222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-10-211-2-2-2-2111111112000000002-1-1-1-200000001
χ22222-12222-122-1-1-12-1-12222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-10-211-2-2-2-211111111-200000000-211120000000-1
χ2322-12222-1222-1-12-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-120000000000000002-122-1-1-1-10-12-1-102-1-100000
χ2422-12222-1222-1-12-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12000000000000000-2-122-1-1-1-101-2110-21100000
χ2522-12222-1222-1-12-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-200000000000000021-2-211110-12-1-10-21100000
χ2622-12222-1222-1-12-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2000000000000000-21-2-2111101-21102-1-100000
χ274444-4−1−5−1+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+51−51−500000000000000000000000000000000000000
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χ29444-24−1−5−1+54-2−1−5−1+5-2-2-241+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1+51+521+521−521−52-21+521−521+521−52−1−5−1+51+521+521−521−5204-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−520000000000000000000000
χ30444-24−1−5−1+54-2−1−5−1+5-2-2-241+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1+51+521+521−521−52-21+521−521+521−52−1−5−1+51+521+521−521−520-4221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000
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χ32444-24−1+5−1−54-2−1+5−1−5-2-2-241−521+52−1+5−1−5−1+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+520-4221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000
χ33444-2-4444-244-2-22-4-2-244-4-4-2-24422222-2-2-2-2-4-4222200000000000000000000000000000000000000
χ34444-2-4−1−5−1+54-2−1−5−1+5-2-22-41+521−52−1−5−1+51+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+5200000000ζ22+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−ζ940000000000000000000000
χ35444-2-4−1−5−1+54-2−1−5−1+5-2-22-41+521−52−1−5−1+51+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+5200000000−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+ζ940000000000000000000000
χ36444-2-4−1+5−1−54-2−1+5−1−5-2-22-41−521+52−1+5−1−51−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−5221−521+521−521+521−51+5−1+52−1+52−1−52−1−5200000000−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−ζ1180000000000000000000000
χ37444-2-4−1+5−1−54-2−1+5−1−5-2-22-41−521+52−1+5−1−51−51+51−521+52−1+5−1−5−1+52−1+52−1−52−1−5221−521+521−521+521−51+5−1+52−1+52−1−52−1−5200000000ζ14+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+ζ1180000000000000000000000
χ3844-244−1−5−1+5-24−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+5-21+521−521+521−521+521−521+521+521−521−5240000000000000000-2−1−5−1+51+521+521−521−5200000000000000
χ3944-244−1−5−1+5-24−1−5−1+5-2-24-2−1−5−1+51+521−52−1−5−1+5−1−5−1+51+521−52−1−5−1−5−1+5−1+5-21+521−521+521−521+521−521+521+521−521−52-4000000000000000021+51−5−1−52−1−52−1+52−1+5200000000000000
χ4044-244−1+5−1−5-24−1+5−1−5-2-24-2−1+5−1−51−521+52−1+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+5240000000000000000-2−1+5−1−51−521−521+521+5200000000000000
χ4144-244−1+5−1−5-24−1+5−1−5-2-24-2−1+5−1−51−521+52−1+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+52-4000000000000000021−51+5−1+52−1+52−1−52−1−5200000000000000
χ4244-24-444-2444-2-2-4244-2-2-4-444-2-2-4-4-4-42-2-2-2-222222200000000000000000000000000000000000000
χ4344-24-4−1−5−1+5-24−1−5−1+5-2-2-42−1−5−1+51+521−521+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+5200000000000000000000ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ11600000000000000
χ4444-24-4−1−5−1+5-24−1−5−1+5-2-2-42−1−5−1+51+521−521+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+5200000000000000000000−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ11600000000000000
χ4544-24-4−1+5−1−5-24−1+5−1−5-2-2-42−1+5−1−51−521+521−51+5−1+5−1−51−521+521−51−51+51+521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ9200000000000000
χ4644-24-4−1+5−1−5-24−1+5−1−5-2-2-42−1+5−1−51−521+521−51+5−1+5−1−51−521+521−51−51+51+521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ9200000000000000
χ4744-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-211111-2-211110000000000000000400000000-2-211000000000
χ4844-2-2444-2-24411-2-2-2-2-2-244-2-2-2-2-2-2-2-211111-2-211110000000000000000-40000000022-1-1000000000
χ4944-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-22222-1111122-1-1-1-10000000000000000000000000003-3000000000
χ5044-2-2-444-2-2441122-2-2-2-2-4-4-2-2-2-22222-1111122-1-1-1-1000000000000000000000000000-33000000000
χ514-444044-4-4-4-44-400444400-4-4-4-40000044-4-400000000000000000000000000000000000000000000
χ524-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−500000−1−5−1+51+51−50000000000−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+ζ1190000000000000000000000
χ534-4440−1−5−1+5-4-41+51−54-400−1−5−1+5−1−5−1+5001+51−51+51−500000−1−5−1+51+51−50000000000ζ7+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−ζ1190000000000000000000000
χ544-4440−1+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+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+ζ1030000000000000000000000
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+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−ζ1030000000000000000000000
χ564-44-2044-42-4-4-2200-2-2440022-4-400000-2-222000000006−600006−6−666−6−660000000000000000000000
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χ584-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+500−1−52−1+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−ζ94006−6−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−ζ103ζ37−ζ47−ζ53+ζ103ζ7+ζ13−ζ23−ζ77−ζ7−ζ13+ζ23+ζ77−ζ31+ζ101−ζ109+ζ119ζ31−ζ101+ζ109−ζ119−ζ29+ζ61−ζ71+ζ79ζ29−ζ61+ζ71−ζ790000000000000000000000
χ594-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+500−1−52−1+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−ζ9400−66ζ7+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−ζ37+ζ47+ζ53−ζ103−ζ7−ζ13+ζ23+ζ77ζ7+ζ13−ζ23−ζ77ζ31−ζ101+ζ109−ζ119−ζ31+ζ101−ζ109+ζ119ζ29−ζ61+ζ71−ζ79−ζ29+ζ61−ζ71+ζ790000000000000000000000
χ604-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+500−1−52−1+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+ζ94006−6ζ7+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−ζ77ζ37−ζ47−ζ53+ζ103−ζ37+ζ47+ζ53−ζ103ζ29−ζ61+ζ71−ζ79−ζ29+ζ61−ζ71+ζ79ζ31−ζ101+ζ109−ζ119−ζ31+ζ101−ζ109+ζ1190000000000000000000000
χ614-44-20−1−5−1+5-421+51−5-22001+521−52−1−5−1+500−1−52−1+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+ζ9400−66−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+ζ77−ζ37+ζ47+ζ53−ζ103ζ37−ζ47−ζ53+ζ103−ζ29+ζ61−ζ71+ζ79ζ29−ζ61+ζ71−ζ79−ζ31+ζ101−ζ109+ζ119ζ31−ζ101+ζ109−ζ1190000000000000000000000
χ624-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−500−1+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−ζ118006−6ζ29+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−ζ31+ζ101−ζ109+ζ119ζ31−ζ101+ζ109−ζ119−ζ29+ζ61−ζ71+ζ79ζ29−ζ61+ζ71−ζ79−ζ7−ζ13+ζ23+ζ77ζ7+ζ13−ζ23−ζ77ζ37−ζ47−ζ53+ζ103−ζ37+ζ47+ζ53−ζ1030000000000000000000000
χ634-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−500−1+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−ζ11800−66−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−ζ103ζ31−ζ101+ζ109−ζ119−ζ31+ζ101−ζ109+ζ119ζ29−ζ61+ζ71−ζ79−ζ29+ζ61−ζ71+ζ79ζ7+ζ13−ζ23−ζ77−ζ7−ζ13+ζ23+ζ77−ζ37+ζ47+ζ53−ζ103ζ37−ζ47−ζ53+ζ1030000000000000000000000
χ644-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−500−1+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+ζ118006−6−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+ζ79ζ31−ζ101+ζ109−ζ119−ζ31+ζ101−ζ109+ζ119−ζ37+ζ47+ζ53−ζ103ζ37−ζ47−ζ53+ζ103ζ7+ζ13−ζ23−ζ77−ζ7−ζ13+ζ23+ζ770000000000000000000000
χ654-44-20−1+5−1−5-421−51+5-22001−521+52−1+5−1−500−1+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+ζ11800−66ζ29+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−ζ79−ζ31+ζ101−ζ109+ζ119ζ31−ζ101+ζ109−ζ119ζ37−ζ47−ζ53+ζ103−ζ37+ζ47+ζ53−ζ103−ζ7−ζ13+ζ23+ζ77ζ7+ζ13−ζ23−ζ770000000000000000000000
χ664-4-240442-4-4-4-220044-2-200-4-42200000-2-22200000000000000000000000000000000000006−600000
χ674-4-240442-4-4-4-220044-2-200-4-42200000-2-2220000000000000000000000000000000000000−6600000
χ6888-4-48−2−25−2+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+5200000000000000000000000000000000000000
χ6988-4-48−2+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+52−1−52−1−5200000000000000000000000000000000000000
χ7088-4-4-8−2−25−2+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+521−521−5200000000000000000000000000000000000000
χ7188-4-4-8−2+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+5200000000000000000000000000000000000000
χ728-8-480−2−25−2+254-82+252−25-4400−2−25−2+251+51−5002+252−25−1−5−1+5000001+51−5−1−5−1+500000000000000000000000000000000000000000000
χ738-8-480−2+25−2−254-82−252+25-4400−2+25−2−251−51+5002−252+25−1+5−1−5000001−51+5−1+5−1−500000000000000000000000000000000000000000000
χ748-8-4-408844-8-82-200-4-4-4-40044440000022-2-200000000000000000000000000000000000000000000
χ758-8-4-40−2−25−2+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+ζ9400000000000000000000000000000000000000
χ768-8-4-40−2−25−2+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−ζ9400000000000000000000000000000000000000
χ778-8-4-40−2+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+ζ11800000000000000000000000000000000000000
χ788-8-4-40−2+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−ζ11800000000000000000000000000000000000000

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