Finite Group Databasebeta

← Group #13085763

Character table — Group #13085763

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222444444444444444444488888888881010101012121212121212121212121212121212121220202020202020242424242424366060606060607272180
order1233455661010121236121212151515152020303030306060606015153030606060606060246626682424404040401201201201201201201201206661212121210103030303042668242420202
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1111
χ5111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1
χ6111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
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+520000222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000−1−52−1+52−1−52−1−52−1+52−1+522000000−1−52−1+520
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+520000222-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520000000−1−52−1+52−1−52−1−52−1+52−1+52-20000001+521−520
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+520000-2-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000001+521−521+521+521−521−52-20000001+521−520
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+520000-2-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−5200000001+521−521+521+521−521−522000000−1−52−1+520
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+52−1−52−1−520000222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000−1+52−1−52−1+52−1+52−1−52−1−522000000−1+52−1−520
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+52−1−52−1−520000222-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520000000−1+52−1−52−1+52−1+52−1−52−1−52-20000001−521+520
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+52−1−52−1−520000-2-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000001−521+521−521−521+521+52-20000001−521+520
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+52−1−52−1−520000-2-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+5200000001−521+521−521−521+521+522000000−1+52−1−520
χ172222-2222222-2-222-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-22-222000000000000000000222-2-2-2-20000000000000000
χ182222-2222222-2-222-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-2-22-2-2000000000000000000-2-2-222220000000000000000
χ19222-12222-12222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122-1-12-1-10000000000000002-1-12-1-1-122-1-1-1-102-1-1000000
χ20222-12222-12222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-2110000000000000002-1-12-1-1-1-2-211110-211000000
χ21222-12222-12222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2112-1-1000000000000000-211-211122-1-1-1-10-211000000
χ22222-12222-12222-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2-211-211000000000000000-211-2111-2-2111102-1-1000000
χ23222-1-2222-122-2-2-1-111122-1-1-2-222-1-1-2-2-2-2-1-1-1-11111112-2-1-10−i3i30000000000000002-1-1-211100−i3i3−i3i300−i3i3000000
χ24222-1-2222-122-2-2-1-111122-1-1-2-222-1-1-2-2-2-2-1-1-1-11111112-2-1-10i3−i30000000000000002-1-1-211100i3−i3i3−i300i3−i3000000
χ25222-1-2222-122-2-2-1-111122-1-1-2-222-1-1-2-2-2-2-1-1-1-1111111-22110−i3i3000000000000000-2112-1-1-100−i3i3−i3i300i3−i3000000
χ26222-1-2222-122-2-2-1-111122-1-1-2-222-1-1-2-2-2-2-1-1-1-1111111-22110i3−i3000000000000000-2112-1-1-100i3−i3i3−i300−i3i3000000
χ2722-12222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-122220002-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-100000000002-1-1000
χ2822-12222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-12222000-211-2-2-2-211111111-1-1-1-12-1-10000000000-211000
χ2922-12222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20002-1-12222-1-1-1-1-1-1-1-11111-2110000000000-211000
χ3022-12222-1222-1-1-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2000-211-2-2-2-2111111111111-21100000000002-1-1000
χ3122-12-222-122211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-211112-22200003−3000033−3−333−3−3-1-1-11-211000000000003−3000
χ3222-12-222-122211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-211112-2220000−330000−3−333−3−333-1-1-11-21100000000000−33000
χ3322-12-222-122211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-21111-22-2-200003−3000033−3−333−3−3111-12-1-100000000000−33000
χ3422-12-222-122211-1-1-211-1-122-2-2-1-1221111-1-1-1-1-2-21111-22-2-20000−330000−3−333−3−333111-12-1-1000000000003−3000
χ354444-4−1−5−1+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+51−51−5000000000000000000000000000000000000000000000
χ364444-4−1+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+5000000000000000000000000000000000000000000000
χ37444-24−1−5−1+54-2−1−5−1+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+521−521−5200004-2-20000000000000000000000−1−5−1+51+521+521−521−520000000000
χ38444-24−1−5−1+54-2−1−5−1+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+521−521−520000-42200000000000000000000001+51−5−1−52−1−52−1+52−1+520000000000
χ39444-24−1+5−1−54-2−1+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+5200004-2-20000000000000000000000−1+5−1−51−521−521+521+520000000000
χ40444-24−1+5−1−54-2−1+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+520000-42200000000000000000000001−51+5−1+52−1+52−1−52−1−520000000000
χ41444-2-4−1−5−1+54-2−1−5−1+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+5200000−2i32i3000000000000000000000000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ1160000000000
χ42444-2-4−1−5−1+54-2−1−5−1+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+52000002i3−2i3000000000000000000000000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ1160000000000
χ43444-2-4−1+5−1−54-2−1+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+52−1−52−1−5200000−2i32i3000000000000000000000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ920000000000
χ44444-2-4−1+5−1−54-2−1+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+52−1−52−1−52000002i3−2i3000000000000000000000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ920000000000
χ4544-244−1−5−1+5-24−1−5−1+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+521−521−5200000004-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−5200000000000000000000000
χ4644-244−1−5−1+5-24−1−5−1+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+521−521−520000000-4221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000
χ4744-244−1+5−1−5-24−1+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+5200000004-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+5200000000000000000000000
χ4844-244−1+5−1−5-24−1+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+520000000-4221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000
χ4944-24-4−1−5−1+5-24−1−5−1+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+520000000023−230000−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+ζ9400000000000000000000000
χ5044-24-4−1−5−1+5-24−1−5−1+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+5200000000−23230000ζ22−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−ζ9400000000000000000000000
χ5144-24-4−1+5−1−5-24−1+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+52−1−52−1−520000000023−230000ζ14−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+ζ11800000000000000000000000
χ5244-24-4−1+5−1−5-24−1+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+52−1−52−1−5200000000−23230000−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−ζ11800000000000000000000000
χ5344-2-2444-2-244-2-211-211-2-2-2-244-2-2-2-2-2-2-2-21111-2-2111144-2-2000000000000000000-211-2-2110000000000000000
χ5444-2-2444-2-244-2-211-211-2-2-2-244-2-2-2-2-2-2-2-21111-2-21111-4-4220000000000000000002-1-122-1-10000000000000000
χ5544-2-2-444-2-24422112-1-1-2-2-2-2-4-4-2-2-2-22222111122-1-1-1-14-4-2-2000000000000000000-21122-1-10000000000000000
χ5644-2-2-444-2-24422112-1-1-2-2-2-2-4-4-2-2-2-22222111122-1-1-1-1-44220000000000000000002-1-1-2-2110000000000000000
χ574-444044-4-4-4-4004-4000444400-4-4-4-4000044-4-4000000000000000000000000000000000000000000000000000
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+51−50000000000000000ζ7−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
χ594-4440−1−5−1+5-4-41+51−5004-4000−1−5−1+5−1−5−1+5001+51−51+51−50000−1−5−1+51+51−50000000000000000−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
χ604-4440−1+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+50000000000000000−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
χ614-4440−1+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+50000000000000000ζ29−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
χ624-44-2044-42-4-400-2200044-2-200-4-4220000-2-22200000000−2i32i30000000000000000000−2i32i300000000000000000000
χ634-44-2044-42-4-400-2200044-2-200-4-4220000-2-222000000002i3−2i300000000000000000002i3−2i300000000000000000000
χ644-4-240442-4-4-423−23-22023−23-2-2440022-4-423−2323−23-2-2220023−2323−23000000000000000000000000000000000000000000000
χ654-4-240442-4-4-4−2323-220−2323-2-2440022-4-4−2323−2323-2-22200−2323−2323000000000000000000000000000000000000000000000
χ664-4-240−1−5−1+52-41+51−523−23-22023−231+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+ζ941+521−52−1−52−1+5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ940000000000ζ7−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+ζ53−ζ77+ζ103ζ7−ζ53+ζ77−ζ103ζ13+ζ23−ζ37−ζ47−ζ13−ζ23+ζ37+ζ47ζ29−ζ31+ζ79−ζ101−ζ29+ζ31−ζ79+ζ101−ζ61−ζ71+ζ109+ζ119ζ61+ζ71−ζ109−ζ11900000000000000000000000
χ674-4-240−1−5−1+52-41+51−523−23-22023−231+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+ζ941+521−52−1−52−1+5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ940000000000−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−ζ53+ζ77−ζ103−ζ7+ζ53−ζ77+ζ103−ζ13−ζ23+ζ37+ζ47ζ13+ζ23−ζ37−ζ47−ζ29+ζ31−ζ79+ζ101ζ29−ζ31+ζ79−ζ101ζ61+ζ71−ζ109−ζ119−ζ61−ζ71+ζ109+ζ11900000000000000000000000
χ684-4-240−1−5−1+52-41+51−5−2323-220−23231+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−ζ941+521−52−1−52−1+5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ940000000000ζ7−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+ζ119ζ13+ζ23−ζ37−ζ47−ζ13−ζ23+ζ37+ζ47−ζ7+ζ53−ζ77+ζ103ζ7−ζ53+ζ77−ζ103−ζ61−ζ71+ζ109+ζ119ζ61+ζ71−ζ109−ζ119ζ29−ζ31+ζ79−ζ101−ζ29+ζ31−ζ79+ζ10100000000000000000000000
χ694-4-240−1−5−1+52-41+51−5−2323-220−23231+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−ζ941+521−52−1−52−1+5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ940000000000−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−ζ13−ζ23+ζ37+ζ47ζ13+ζ23−ζ37−ζ47ζ7−ζ53+ζ77−ζ103−ζ7+ζ53−ζ77+ζ103ζ61+ζ71−ζ109−ζ119−ζ61−ζ71+ζ109+ζ119−ζ29+ζ31−ζ79+ζ101ζ29−ζ31+ζ79−ζ10100000000000000000000000
χ704-4-240−1+5−1−52-41−51+523−23-22023−231−521+52−1+5−1−500−1+52−1−521−51+5ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1181−521+52−1+52−1−5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000000−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−ζ31+ζ79−ζ101−ζ29+ζ31−ζ79+ζ101−ζ61−ζ71+ζ109+ζ119ζ61+ζ71−ζ109−ζ119ζ7−ζ53+ζ77−ζ103−ζ7+ζ53−ζ77+ζ103−ζ13−ζ23+ζ37+ζ47ζ13+ζ23−ζ37−ζ4700000000000000000000000
χ714-4-240−1+5−1−52-41−51+523−23-22023−231−521+52−1+5−1−500−1+52−1−521−51+5ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1181−521+52−1+52−1−5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000000ζ29−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+ζ31−ζ79+ζ101ζ29−ζ31+ζ79−ζ101ζ61+ζ71−ζ109−ζ119−ζ61−ζ71+ζ109+ζ119−ζ7+ζ53−ζ77+ζ103ζ7−ζ53+ζ77−ζ103ζ13+ζ23−ζ37−ζ47−ζ13−ζ23+ζ37+ζ4700000000000000000000000
χ724-4-240−1+5−1−52-41−51+5−2323-220−23231−521+52−1+5−1−500−1+52−1−521−51+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1181−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000000−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−ζ61−ζ71+ζ109+ζ119ζ61+ζ71−ζ109−ζ119ζ29−ζ31+ζ79−ζ101−ζ29+ζ31−ζ79+ζ101−ζ13−ζ23+ζ37+ζ47ζ13+ζ23−ζ37−ζ47ζ7−ζ53+ζ77−ζ103−ζ7+ζ53−ζ77+ζ10300000000000000000000000
χ734-4-240−1+5−1−52-41−51+5−2323-220−23231−521+52−1+5−1−500−1+52−1−521−51+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1181−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000000ζ29−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+ζ103ζ61+ζ71−ζ109−ζ119−ζ61−ζ71+ζ109+ζ119−ζ29+ζ31−ζ79+ζ101ζ29−ζ31+ζ79−ζ101ζ13+ζ23−ζ37−ζ47−ζ13−ζ23+ζ37+ζ47−ζ7+ζ53−ζ77+ζ103ζ7−ζ53+ζ77−ζ10300000000000000000000000
χ744-4-2-204422-4-423−231-10−33-2-2-2-200222223−2323−2311-1-100−33−3300−2i32i30000000000000000000i3−i3003i−3i0000000000000000
χ754-4-2-204422-4-423−231-10−33-2-2-2-200222223−2323−2311-1-100−33−33002i3−2i30000000000000000000−i3i300−3i3i0000000000000000
χ764-4-2-204422-4-4−23231-103−3-2-2-2-2002222−2323−232311-1-1003−33−300−2i32i30000000000000000000i3−i300−3i3i0000000000000000
χ774-4-2-204422-4-4−23231-103−3-2-2-2-2002222−2323−232311-1-1003−33−3002i3−2i30000000000000000000−i3i3003i−3i0000000000000000
χ7888-4-48−2−25−2+25-4-4−2−25−2+25-4-422-4221+51−51+51−5−2−25−2+251+51−51+51−51+51+51−51−5−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000000
χ7988-4-48−2+25−2−25-4-4−2+25−2−25-4-422-4221−51+51−51+5−2+25−2−251−51+51−51+51−51−51+51+5−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000
χ8088-4-4-8−2−25−2+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+521−521−52000000000000000000000000000000000000000000000
χ8188-4-4-8−2+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+52000000000000000000000000000000000000000000000
χ828-88-40−2−25−2+25-842+252−2500-44000−2−25−2+251+51−5002+252−25−1−5−1+500001+51−5−1−5−1+5000000000000000000000000000000000000000000000000000
χ838-88-40−2+25−2−25-842−252+2500-44000−2+25−2−251−51+5002−252+25−1+5−1−500001−51+5−1+5−1−5000000000000000000000000000000000000000000000000000
χ848-8-4-40−2−25−2+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−ζ94000000000000000000000000000000000000000000000
χ858-8-4-40−2−25−2+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+ζ94000000000000000000000000000000000000000000000
χ868-8-4-40−2+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−ζ118000000000000000000000000000000000000000000000
χ878-8-4-40−2+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+ζ118000000000000000000000000000000000000000000000

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