Finite Group Databasebeta

← Group #13085679

Character table — Group #13085679

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222222444444444444444488888888888810101212181820202020202020202424242424242424242424242424363636364545606090120120
order1233455661010361212121215151515202030303030151530306060606060606060882288242424242424242466101010103030303030303030404040402222466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1111111111-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1
χ311111111111111111111111111111111111111111-11-1-111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-11
χ411111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ5111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-111-111-11
χ7111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111-111-1
χ8111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111
χ922222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520022220000000022−1−52−1+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+520000000
χ1022222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002-2-2-2000000002-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000
χ1122222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-22-2-200000000-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000
χ1222222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-22200000000-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000
χ1322222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520022220000000022−1+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+52−1−52−1−520000000
χ1422222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002-2-2-2000000002-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000
χ1522222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-22-2-200000000-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000
χ1622222−1+52−1−5222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-22200000000-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000
χ172222-222222222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000002200-200
χ182222-222222222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200200
χ19222-12222-122-1-12-1-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-122020022-1-1-1-1-1-10-100220000-1-1-1-10000000200-1
χ20222-12222-122-1-12-1-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-1220-20022-1-1-1-1-1-10100-2-2000011110000000-2001
χ21222-12222-122-1-12-1-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-1-2-20200-2-21111110-100220000-1-1-1-10000000-2001
χ22222-12222-122-1-12-1-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-1-2-20-200-2-21111110100-2-2000011110000000200-1
χ2322-12222-1222-1-1-12-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-1222000-1-122-1-1-1-1-102200-1-1-1-10000000000200-10
χ2422-12222-1222-1-1-12-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-122-2000-1-122-1-1-1-110-2-20011110000000000-20010
χ2522-12222-1222-1-1-12-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-1-2-2200011-2-21111-102200-1-1-1-10000000000-20010
χ2622-12222-1222-1-1-12-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-1-2-2-200011-2-2111110-2-20011110000000000200-10
χ272-222022-2-2-2-22-20000222200-2-2-2-222-2-2000000002−2002−22−22−222−2−2000000000000002−22−22-200000
χ282-222022-2-2-2-22-20000222200-2-2-2-222-2-2000000002−200−222−22−222−2−200000000000000−22−22-2200000
χ292-222022-2-2-2-22-20000222200-2-2-2-222-2-200000000−22002−2−22−22−2−222000000000000002−22−2-2200000
χ302-222022-2-2-2-22-20000222200-2-2-2-222-2-200000000−2200−22−22−22−2−22200000000000000−22−222-200000
χ314444-4−1−5−1+544−1−5−1+544-4-4-4-4−1−5−1−5−1+5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000000000000000000000000000000000000
χ324444-4−1+5−1−544−1+5−1−544-4-4-4-4−1+5−1+5−1−5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000000000000000000000000000000000000
χ33444-24−1−5−1+54-2−1−5−1+5-2-24-2-2-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−521+521−521+521−52−1−51+52−1+51−521+521+521−521−52000400000000000-200−1−5−1+500001+521+521−521−5200000000000
χ34444-24−1−5−1+54-2−1−5−1+5-2-24-2-2-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−521+521−521+521−52−1−51+52−1+51−521+521+521−521−52000-4000000000002001+51−50000−1−52−1−52−1+52−1+5200000000000
χ35444-24−1+5−1−54-2−1+5−1−5-2-24-2-2-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+521−521+521−521+52−1+51−52−1−51+521−521−521+521+52000400000000000-200−1+5−1−500001−521−521+521+5200000000000
χ36444-24−1+5−1−54-2−1+5−1−5-2-24-2-2-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+521−521+521−521+52−1+51−52−1−51+521−521−521+521+52000-4000000000002001−51+50000−1+52−1+52−1−52−1−5200000000000
χ37444-2-4444-244-2-2-42224-24-2-4-44-24-2-2-2-2-2-42-422222000000000000000000000000000000000000000
χ38444-2-4−1−5−1+54-2−1−5−1+5-2-2-4222−1−51+52−1+51−521+51−5−1−51+52−1+51−521+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+52000000000000000000000000ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ11600000000000
χ39444-2-4−1−5−1+54-2−1−5−1+5-2-2-4222−1−51+52−1+51−521+51−5−1−51+52−1+51−521+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+52000000000000000000000000−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ11600000000000
χ40444-2-4−1+5−1−54-2−1+5−1−5-2-2-4222−1+51−52−1−51+521−51+5−1+51−52−1−51+521−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−52000000000000000000000000−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ9200000000000
χ41444-2-4−1+5−1−54-2−1+5−1−5-2-2-4222−1+51−52−1−51+521−51+5−1+51−52−1−51+521−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−52000000000000000000000000ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ9200000000000
χ4244-244−1−5−1+5-24−1−5−1+5-2-2-24-2-21+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+51+521−521+521−521+52−1−51−52−1+51+521+521−521−5200400000000000-20−1−5−1+5001+521+521−521−52000000000000000
χ4344-244−1−5−1+5-24−1−5−1+5-2-2-24-2-21+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+51+521−521+521−521+52−1−51−52−1+51+521+521−521−5200-400000000000201+51−500−1−52−1−52−1+52−1+52000000000000000
χ4444-244−1+5−1−5-24−1+5−1−5-2-2-24-2-21−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−51−521+521−521+521−52−1+51+52−1−51−521−521+521+5200400000000000-20−1+5−1−5001−521−521+521+52000000000000000
χ4544-244−1+5−1−5-24−1+5−1−5-2-2-24-2-21−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−51−521+521−521+521−52−1+51+52−1−51−521−521+521+5200-400000000000201−51+500−1+52−1+52−1−52−1−52000000000000000
χ4644-24-444-2444-2-22-422-24-24-4-4-24-24-2-2-2-22-42-42222000000000000000000000000000000000000000
χ4744-24-4−1−5−1+5-24−1−5−1+5-2-22-4221+52−1−51−52−1+51+51−51+52−1−51−52−1+51+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+5200000000000000000000ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116000000000000000
χ4844-24-4−1−5−1+5-24−1−5−1+5-2-22-4221+52−1−51−52−1+51+51−51+52−1−51−52−1+51+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+5200000000000000000000−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116000000000000000
χ4944-24-4−1+5−1−5-24−1+5−1−5-2-22-4221−52−1+51+52−1−51−51+51−52−1+51+52−1−51−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−5200000000000000000000−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92000000000000000
χ5044-24-4−1+5−1−5-24−1+5−1−5-2-22-4221−52−1+51+52−1−51−51+51−52−1+51+52−1−51−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−5200000000000000000000ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92000000000000000
χ5144-2-2444-2-24411-2-211-2-2-2-244-2-2-2-21111-2-2-2-21111440000-2-2-2-211110000000000000000000000000
χ5244-2-2444-2-24411-2-211-2-2-2-244-2-2-2-21111-2-2-2-21111-4-400002222-1-1-1-10000000000000000000000000
χ5344-2-2-444-2-2441122-1-1-2-2-2-2-4-4-2-2-2-211112222-1-1-1-100000000003i−3i3i−3i0000000000000000000000000
χ5444-2-2-444-2-2441122-1-1-2-2-2-2-4-4-2-2-2-211112222-1-1-1-10000000000−3i3i−3i3i0000000000000000000000000
χ554-4440−1−5−1+5-4-41+51−54-40000−1−5−1−5−1+5−1+5001+51+51−51−5−1−5−1+51+51−500000000000022−220000000000000000000000−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+ζ1190000000
χ564-4440−1−5−1+5-4-41+51−54-40000−1−5−1−5−1+5−1+5001+51+51−51−5−1−5−1+51+51−5000000000000−22220000000000000000000000ζ7−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−ζ1190000000
χ574-4440−1+5−1−5-4-41−51+54-40000−1+5−1+5−1−5−1−5001−51−51+51+5−1+5−1−51−51+500000000000022−220000000000000000000000ζ29−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+ζ1030000000
χ584-4440−1+5−1−5-4-41−51+54-40000−1+5−1+5−1−5−1−5001−51−51+51+5−1+5−1−51−51+5000000000000−22220000000000000000000000−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−ζ1030000000
χ594-44-2044-42-4-4-2200004-24-200-42-42-2-2220000000022−22000022−22−22−2−2220000000000000000000000000
χ604-44-2044-42-4-4-2200004-24-200-42-42-2-22200000000−22220000−22222−222−2−20000000000000000000000000
χ614-4-240442-4-4-4-220000-24-24002-42-4-2-2220000000022−220000−2222−22−2−2220000000000000000000000000
χ624-4-240442-4-4-4-220000-24-24002-42-4-2-22200000000−222200002−2−222222−2−20000000000000000000000000
χ634-4-2-204422-4-41-1003i−3i-2-2-2-200222211-1-100003i−3i3i−3i22−220000−22−22−ζ7−2ζ13−ζ23−2ζ29−ζ31−2ζ37−ζ47−2ζ53−2ζ61−ζ71−2ζ77−ζ79−2ζ101−ζ103−2ζ109−ζ1192ζ7+ζ13+2ζ23+ζ29+2ζ31+ζ37+2ζ47+ζ53+ζ61+2ζ71+ζ77+2ζ79+ζ101+2ζ103+ζ109+2ζ119ζ7+2ζ13+ζ23+2ζ29+ζ31+2ζ37+ζ47+2ζ53+2ζ61+ζ71+2ζ77+ζ79+2ζ101+ζ103+2ζ109+ζ119−2ζ7−ζ13−2ζ23−ζ29−2ζ31−ζ37−2ζ47−ζ53−ζ61−2ζ71−ζ77−2ζ79−ζ101−2ζ103−ζ109−2ζ1190000000000000000000000000
χ644-4-2-204422-4-41-1003i−3i-2-2-2-200222211-1-100003i−3i3i−3i−222200002−22−2ζ7+2ζ13+ζ23+2ζ29+ζ31+2ζ37+ζ47+2ζ53+2ζ61+ζ71+2ζ77+ζ79+2ζ101+ζ103+2ζ109+ζ119−2ζ7−ζ13−2ζ23−ζ29−2ζ31−ζ37−2ζ47−ζ53−ζ61−2ζ71−ζ77−2ζ79−ζ101−2ζ103−ζ109−2ζ119−ζ7−2ζ13−ζ23−2ζ29−ζ31−2ζ37−ζ47−2ζ53−2ζ61−ζ71−2ζ77−ζ79−2ζ101−ζ103−2ζ109−ζ1192ζ7+ζ13+2ζ23+ζ29+2ζ31+ζ37+2ζ47+ζ53+ζ61+2ζ71+ζ77+2ζ79+ζ101+2ζ103+ζ109+2ζ1190000000000000000000000000
χ654-4-2-204422-4-41-100−3i3i-2-2-2-200222211-1-10000−3i3i−3i3i22−220000−22−222ζ7+ζ13+2ζ23+ζ29+2ζ31+ζ37+2ζ47+ζ53+ζ61+2ζ71+ζ77+2ζ79+ζ101+2ζ103+ζ109+2ζ119−ζ7−2ζ13−ζ23−2ζ29−ζ31−2ζ37−ζ47−2ζ53−2ζ61−ζ71−2ζ77−ζ79−2ζ101−ζ103−2ζ109−ζ119−2ζ7−ζ13−2ζ23−ζ29−2ζ31−ζ37−2ζ47−ζ53−ζ61−2ζ71−ζ77−2ζ79−ζ101−2ζ103−ζ109−2ζ119ζ7+2ζ13+ζ23+2ζ29+ζ31+2ζ37+ζ47+2ζ53+2ζ61+ζ71+2ζ77+ζ79+2ζ101+ζ103+2ζ109+ζ1190000000000000000000000000
χ664-4-2-204422-4-41-100−3i3i-2-2-2-200222211-1-10000−3i3i−3i3i−222200002−22−2−2ζ7−ζ13−2ζ23−ζ29−2ζ31−ζ37−2ζ47−ζ53−ζ61−2ζ71−ζ77−2ζ79−ζ101−2ζ103−ζ109−2ζ119ζ7+2ζ13+ζ23+2ζ29+ζ31+2ζ37+ζ47+2ζ53+2ζ61+ζ71+2ζ77+ζ79+2ζ101+ζ103+2ζ109+ζ1192ζ7+ζ13+2ζ23+ζ29+2ζ31+ζ37+2ζ47+ζ53+ζ61+2ζ71+ζ77+2ζ79+ζ101+2ζ103+ζ109+2ζ119−ζ7−2ζ13−ζ23−2ζ29−ζ31−2ζ37−ζ47−2ζ53−2ζ61−ζ71−2ζ77−ζ79−2ζ101−ζ103−2ζ109−ζ1190000000000000000000000000
χ6788-4-48−2−25−2+25-4-4−2−25−2+2522-4-4221+51+51−51−5−2−25−2+251+51+51−51−5−1−52−1+52−1−52−1+521+51+51−51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000
χ6888-4-48−2+25−2−25-4-4−2+25−2−2522-4-4221−51−51+51+5−2+25−2−251−51−51+51+5−1+52−1−52−1+52−1−521−51−51+51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000
χ6988-4-4-8−2−25−2+25-4-4−2−25−2+252244-2-21+51+51−51−52+252−251+51+51−51−5−1−52−1+52−1−52−1+52−1−5−1−5−1+5−1+51+521+521−521−52000000000000000000000000000000000000000
χ7088-4-4-8−2+25−2−25-4-4−2+25−2−252244-2-21−51−51+51+52−252+251−51−51+51+5−1+52−1−52−1+52−1−52−1+5−1+5−1−5−1−51−521−521+521+52000000000000000000000000000000000000000
χ718-88-40−2−25−2+25-842+252−25-440000−2−251+5−2+251−5002+25−1−52−25−1+51+51−5−1−5−1+500000000000000000000000000000000000000000000000
χ728-88-40−2+25−2−25-842−252+25-440000−2+251−5−2−251+5002−25−1+52+25−1−51−51+5−1+5−1−500000000000000000000000000000000000000000000000
χ738-8-480−2−25−2+254-82+252−25-4400001+5−2−251−5−2+2500−1−52+25−1+52−251+51−5−1−5−1+500000000000000000000000000000000000000000000000
χ748-8-480−2+25−2−254-82−252+25-4400001−5−2+251+5−2−2500−1+52−25−1−52+251−51+5−1+5−1−500000000000000000000000000000000000000000000000
χ758-8-4-40−2−25−2+25442+252−252-2006i−6i1+51+51−51−500−1−5−1−5−1+5−1+5−1−52−1+521+521−520000−3ζ22−3ζ38−3ζ62−3ζ1183ζ22+3ζ38+3ζ62+3ζ118−3ζ14−3ζ46−3ζ86−3ζ943ζ14+3ζ46+3ζ86+3ζ94000000000000000000000000000000000000000
χ768-8-4-40−2−25−2+25442+252−252-200−6i6i1+51+51−51−500−1−5−1−5−1+5−1+5−1−52−1+521+521−5200003ζ22+3ζ38+3ζ62+3ζ118−3ζ22−3ζ38−3ζ62−3ζ1183ζ14+3ζ46+3ζ86+3ζ94−3ζ14−3ζ46−3ζ86−3ζ94000000000000000000000000000000000000000
χ778-8-4-40−2+25−2−25442−252+252-2006i−6i1−51−51+51+500−1+5−1+5−1−5−1−5−1+52−1−521−521+520000−3ζ14−3ζ46−3ζ86−3ζ943ζ14+3ζ46+3ζ86+3ζ94−3ζ22−3ζ38−3ζ62−3ζ1183ζ22+3ζ38+3ζ62+3ζ118000000000000000000000000000000000000000
χ788-8-4-40−2+25−2−25442−252+252-200−6i6i1−51−51+51+500−1+5−1+5−1−5−1−5−1+52−1−521−521+5200003ζ14+3ζ46+3ζ86+3ζ94−3ζ14−3ζ46−3ζ86−3ζ943ζ22+3ζ38+3ζ62+3ζ118−3ζ22−3ζ38−3ζ62−3ζ118000000000000000000000000000000000000000

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