Finite Group Databasebeta

← Group #13088552

Character table — Group #13088552

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222222222268812121212121212121212121212121212121212121212121616161616161616161616161616242424242424243090120120180180
order1235561010151515153030303043648122020242440404040606060601201201201201201201201203615151515151530303030303012202060606060246628
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111
χ522222222222222222-1-100222000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000022-1-100
χ622222222222222222-1-100222000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-2-21100
χ7222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+5222−1−52−1−52−1+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+5222−1−52−1−52−1−52−1+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+52000000
χ8222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-22−1−52−1+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-21+521−521+521+521−521−52000000
χ9222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52000000
χ10222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-22−1+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-21−521+521−521−521+521+52000000
χ1122-122-122-1-1-1-1-1-1-1-122222-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1-122-1-1-1-1000000
χ1222-122-122-1-1-1-1-1-1-1-1222-2-2-12211-2-2-2-2-1-1-1-111111111-1-12-1-12-1-12-1-12-1-11-2-21111000000
χ1322-1−1−52−1+52-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ11622222-1−1−52−1+52-1-1−1−52−1−52−1+52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116-1-1−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116000000
χ1422-1−1−52−1+52-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116222-2-2-1−1−52−1+52111+521+521−521−52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ92ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ116-1-1−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ11611+521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ116000000
χ1522-1−1−52−1+52-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ7622222-1−1−52−1+52-1-1−1−52−1−52−1+52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76-1-1−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76000000
χ1622-1−1−52−1+52-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76222-2-2-1−1−52−1+52111+521+521−521−52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ68ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ76-1-1−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ7611+521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ76000000
χ1722-1−1+52−1−52-1−1+52−1−52−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ6822222-1−1+52−1−52-1-1−1+52−1+52−1−52−1−52−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68-1-1−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ68-1−1+52−1−52−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68000000
χ1822-1−1+52−1−52-1−1+52−1−52−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68222-2-2-1−1+52−1−52111−521−521+521+52−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ116ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ68-1-1−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ6811−521+52ζ44+ζ76ζ4+ζ116ζ28+ζ92ζ52+ζ68000000
χ1922-1−1+52−1−52-1−1+52−1−52−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ9222222-1−1+52−1−52-1-1−1+52−1+52−1−52−1−52−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92-1-1−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ92-1−1+52−1−52−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92000000
χ2022-1−1+52−1−52-1−1+52−1−52−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92222-2-2-1−1+52−1−52111−521−521+521+52−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ76ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ92-1-1−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ9211−521+52ζ4+ζ116ζ44+ζ76ζ52+ζ68ζ28+ζ92000000
χ213333333333333333-1001-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000011111113-1001-1
χ223333333333333333-1001-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000001111111-3100-11
χ233333333333333333-100-11-1-1-1111111-1-1-1-11111111100000000000000-1-1-1-1-1-1-13-100-11
χ243333333333333333-100-11-1-1-1111111-1-1-1-11111111100000000000000-1-1-1-1-1-1-1-31001-1
χ25444−1−5−1+54−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+54-2-2004−1−5−1+5000000−1−5−1−5−1+5−1+500000000-2-21+521+521+521−521−521−521+521+521+521−521−521−520000000000000
χ26444−1+5−1−54−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−54-2-2004−1+5−1−5000000−1+5−1+5−1−5−1−500000000-2-21−521−521−521+521+521+521−521−521−521+521+521+520000000000000
χ2744-244-244-2-2-2-2-2-2-2-24-2-200-244000000-2-2-2-20000000011-211-211-211-2110000000000000
χ2844-2−1−5−1+5-2−1−5−1+5−2ζ52−2ζ68−2ζ28−2ζ92−2ζ44−2ζ76−2ζ4−2ζ116−2ζ52−2ζ68−2ζ28−2ζ92−2ζ44−2ζ76−2ζ4−2ζ1164-2-200-2−1−5−1+5000000−2ζ52−2ζ68−2ζ28−2ζ92−2ζ44−2ζ76−2ζ4−2ζ11600000000111+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ1161+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ1160000000000000
χ2944-2−1−5−1+5-2−1−5−1+5−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ76−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ764-2-200-2−1−5−1+5000000−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ7600000000111+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ761+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ760000000000000
χ3044-2−1+5−1−5-2−1+5−1−5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ68−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ684-2-200-2−1+5−1−5000000−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ6800000000111−52ζ44+ζ76ζ4+ζ1161+52ζ28+ζ92ζ52+ζ681−52ζ44+ζ76ζ4+ζ1161+52ζ28+ζ92ζ52+ζ680000000000000
χ3144-2−1+5−1−5-2−1+5−1−5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ92−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ924-2-200-2−1+5−1−5000000−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ9200000000111−52ζ4+ζ116ζ44+ζ761+52ζ52+ζ68ζ28+ζ921−52ζ4+ζ116ζ44+ζ761+52ζ52+ζ68ζ28+ζ920000000000000
χ324-4444-4-4-44444-4-4-4-401-1000000000000000000000001-1111111-1-1-1-1-1-1000000000−i3i300
χ334-4444-4-4-44444-4-4-4-401-1000000000000000000000001-1111111-1-1-1-1-1-1000000000i3−i300
χ344-4444-4-4-44444-4-4-4-40-2200000000000000000000000-22-2-2-2-2-2-22222220000000000000
χ354-44−1−5−1+5-41+51−5−1−5−1−5−1+5−1+51+51+51−51−50-220000000−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+ζ1190000−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+ζ119-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+520000000000000
χ364-44−1−5−1+5-41+51−5−1−5−1−5−1+5−1+51+51+51−51−50-220000000ζ7+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−ζ1190000ζ7+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−ζ119-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+520000000000000
χ374-44−1+5−1−5-41−51+5−1+5−1+5−1−5−1−51−51−51+51+50-220000000ζ29+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+ζ1030000ζ29+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+ζ103-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−520000000000000
χ384-44−1+5−1−5-41−51+5−1+5−1+5−1−5−1−51−51−51+51+50-220000000−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−ζ1030000−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−ζ103-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−520000000000000
χ394-4-2442-4-4-2-2-2-222220-2200000−i6i600000000−i6i6i6−i6i6−i6−i6i61-1-211-2112-1-12-1-10000000000000
χ404-4-2442-4-4-2-2-2-222220-2200000i6−i600000000i6−i6−i6i6−i6i6i6−i61-1-211-2112-1-12-1-10000000000000
χ414-4-2−1−5−1+521+51−5−2ζ52−2ζ68−2ζ28−2ζ92−2ζ44−2ζ76−2ζ4−2ζ1162ζ52+2ζ682ζ28+2ζ922ζ44+2ζ762ζ4+2ζ1160-2200000−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−ζ1190000−ζ7+ζ23+ζ37−ζ53ζ7−ζ23−ζ37+ζ53−ζ13−ζ47+ζ77+ζ103ζ13+ζ47−ζ77−ζ103ζ29+ζ31−ζ61−ζ119−ζ29−ζ31+ζ61+ζ119ζ71−ζ79−ζ101+ζ109−ζ71+ζ79+ζ101−ζ1091-11+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ1160000000000000
χ424-4-2−1−5−1+521+51−5−2ζ52−2ζ68−2ζ28−2ζ92−2ζ44−2ζ76−2ζ4−2ζ1162ζ52+2ζ682ζ28+2ζ922ζ44+2ζ762ζ4+2ζ1160-2200000i6−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+ζ1190000ζ7−ζ23−ζ37+ζ53−ζ7+ζ23+ζ37−ζ53ζ13+ζ47−ζ77−ζ103−ζ13−ζ47+ζ77+ζ103−ζ29−ζ31+ζ61+ζ119ζ29+ζ31−ζ61−ζ119−ζ71+ζ79+ζ101−ζ109ζ71−ζ79−ζ101+ζ1091-11+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ1160000000000000
χ434-4-2−1−5−1+521+51−5−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ762ζ28+2ζ922ζ52+2ζ682ζ4+2ζ1162ζ44+2ζ760-2200000−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+ζ1190000ζ13+ζ47−ζ77−ζ103−ζ13−ζ47+ζ77+ζ103ζ7−ζ23−ζ37+ζ53−ζ7+ζ23+ζ37−ζ53−ζ71+ζ79+ζ101−ζ109ζ71−ζ79−ζ101+ζ109−ζ29−ζ31+ζ61+ζ119ζ29+ζ31−ζ61−ζ1191-11+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ760000000000000
χ444-4-2−1−5−1+521+51−5−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ762ζ28+2ζ922ζ52+2ζ682ζ4+2ζ1162ζ44+2ζ760-2200000i6−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−ζ1190000−ζ13−ζ47+ζ77+ζ103ζ13+ζ47−ζ77−ζ103−ζ7+ζ23+ζ37−ζ53ζ7−ζ23−ζ37+ζ53ζ71−ζ79−ζ101+ζ109−ζ71+ζ79+ζ101−ζ109ζ29+ζ31−ζ61−ζ119−ζ29−ζ31+ζ61+ζ1191-11+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ760000000000000
χ454-4-2−1+5−1−521−51+5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ682ζ44+2ζ762ζ4+2ζ1162ζ28+2ζ922ζ52+2ζ680-2200000−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+ζ1030000−ζ29−ζ31+ζ61+ζ119ζ29+ζ31−ζ61−ζ119−ζ71+ζ79+ζ101−ζ109ζ71−ζ79−ζ101+ζ109−ζ13−ζ47+ζ77+ζ103ζ13+ζ47−ζ77−ζ103−ζ7+ζ23+ζ37−ζ53ζ7−ζ23−ζ37+ζ531-11−52ζ44+ζ76ζ4+ζ1161+52ζ28+ζ92ζ52+ζ68−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ680000000000000
χ464-4-2−1+5−1−521−51+5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ682ζ44+2ζ762ζ4+2ζ1162ζ28+2ζ922ζ52+2ζ680-2200000i6−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−ζ1030000ζ29+ζ31−ζ61−ζ119−ζ29−ζ31+ζ61+ζ119ζ71−ζ79−ζ101+ζ109−ζ71+ζ79+ζ101−ζ109ζ13+ζ47−ζ77−ζ103−ζ13−ζ47+ζ77+ζ103ζ7−ζ23−ζ37+ζ53−ζ7+ζ23+ζ37−ζ531-11−52ζ44+ζ76ζ4+ζ1161+52ζ28+ζ92ζ52+ζ68−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ680000000000000
χ474-4-2−1+5−1−521−51+5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ922ζ4+2ζ1162ζ44+2ζ762ζ52+2ζ682ζ28+2ζ920-2200000−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−ζ1030000ζ71−ζ79−ζ101+ζ109−ζ71+ζ79+ζ101−ζ109ζ29+ζ31−ζ61−ζ119−ζ29−ζ31+ζ61+ζ119ζ7−ζ23−ζ37+ζ53−ζ7+ζ23+ζ37−ζ53ζ13+ζ47−ζ77−ζ103−ζ13−ζ47+ζ77+ζ1031-11−52ζ4+ζ116ζ44+ζ761+52ζ52+ζ68ζ28+ζ92−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ920000000000000
χ484-4-2−1+5−1−521−51+5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ922ζ4+2ζ1162ζ44+2ζ762ζ52+2ζ682ζ28+2ζ920-2200000i6−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+ζ1030000−ζ71+ζ79+ζ101−ζ109ζ71−ζ79−ζ101+ζ109−ζ29−ζ31+ζ61+ζ119ζ29+ζ31−ζ61−ζ119−ζ7+ζ23+ζ37−ζ53ζ7−ζ23−ζ37+ζ53−ζ13−ζ47+ζ77+ζ103ζ13+ζ47−ζ77−ζ1031-11−52ζ4+ζ116ζ44+ζ761+52ζ52+ζ68ζ28+ζ92−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ920000000000000
χ49666−3−352−3+3526−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+352-2002-2-21+521−52-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52000000000000002−1−52−1+52−1−52−1−52−1+52−1+52000000
χ50666−3−352−3+3526−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+352-200-22-21+521−5222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000-21+521−521+521+521−521−52000000
χ51666−3+352−3−3526−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−352-2002-2-21−521+52-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52000000000000002−1+52−1−52−1+52−1+52−1−52−1−52000000
χ52666−3+352−3−3526−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−352-200-22-21−521+5222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000-21−521+521−521−521+521+52000000
χ5366-366-366-3-3-3-3-3-3-3-3-2002-21-2-211-2-2-2-211111111111100000000000000-122-1-1-1-1000000
χ5466-366-366-3-3-3-3-3-3-3-3-200-221-2-2-1-122221111-1-1-1-1-1-1-1-1000000000000001-2-21111000000
χ5566-3−3−352−3+352-3−3−352−3+352−3ζ52−3ζ68−3ζ28−3ζ92−3ζ44−3ζ76−3ζ4−3ζ116−3ζ52−3ζ68−3ζ28−3ζ92−3ζ44−3ζ76−3ζ4−3ζ116-2002-211+521−52111+521+521−521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ116ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ92ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ11600000000000000-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116000000
χ5666-3−3−352−3+352-3−3−352−3+352−3ζ52−3ζ68−3ζ28−3ζ92−3ζ44−3ζ76−3ζ4−3ζ116−3ζ52−3ζ68−3ζ28−3ζ92−3ζ44−3ζ76−3ζ4−3ζ116-200-2211+521−52-1-1−1−52−1−52−1+52−1+52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ116−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ1160000000000000011+521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ116000000
χ5766-3−3−352−3+352-3−3−352−3+352−3ζ28−3ζ92−3ζ52−3ζ68−3ζ4−3ζ116−3ζ44−3ζ76−3ζ28−3ζ92−3ζ52−3ζ68−3ζ4−3ζ116−3ζ44−3ζ76-2002-211+521−52111+521+521−521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ76ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ68ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ7600000000000000-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76000000
χ5866-3−3−352−3+352-3−3−352−3+352−3ζ28−3ζ92−3ζ52−3ζ68−3ζ4−3ζ116−3ζ44−3ζ76−3ζ28−3ζ92−3ζ52−3ζ68−3ζ4−3ζ116−3ζ44−3ζ76-200-2211+521−52-1-1−1−52−1−52−1+52−1+52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ76−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ760000000000000011+521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ76000000
χ5966-3−3+352−3−352-3−3+352−3−352−3ζ44−3ζ76−3ζ4−3ζ116−3ζ28−3ζ92−3ζ52−3ζ68−3ζ44−3ζ76−3ζ4−3ζ116−3ζ28−3ζ92−3ζ52−3ζ68-2002-211−521+52111−521−521+521+52ζ44+ζ76ζ4+ζ116ζ28+ζ92ζ52+ζ68ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ116ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ6800000000000000-1−1+52−1−52−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68000000
χ6066-3−3+352−3−352-3−3+352−3−352−3ζ44−3ζ76−3ζ4−3ζ116−3ζ28−3ζ92−3ζ52−3ζ68−3ζ44−3ζ76−3ζ4−3ζ116−3ζ28−3ζ92−3ζ52−3ζ68-200-2211−521+52-1-1−1+52−1+52−1−52−1−52ζ44+ζ76ζ4+ζ116ζ28+ζ92ζ52+ζ68−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ680000000000000011−521+52ζ44+ζ76ζ4+ζ116ζ28+ζ92ζ52+ζ68000000
χ6166-3−3+352−3−352-3−3+352−3−352−3ζ4−3ζ116−3ζ44−3ζ76−3ζ52−3ζ68−3ζ28−3ζ92−3ζ4−3ζ116−3ζ44−3ζ76−3ζ52−3ζ68−3ζ28−3ζ92-2002-211−521+52111−521−521+521+52ζ4+ζ116ζ44+ζ76ζ52+ζ68ζ28+ζ92ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ76ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ9200000000000000-1−1+52−1−52−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92000000
χ6266-3−3+352−3−352-3−3+352−3−352−3ζ4−3ζ116−3ζ44−3ζ76−3ζ52−3ζ68−3ζ28−3ζ92−3ζ4−3ζ116−3ζ44−3ζ76−3ζ52−3ζ68−3ζ28−3ζ92-200-2211−521+52-1-1−1+52−1+52−1−52−1−52ζ4+ζ116ζ44+ζ76ζ52+ζ68ζ28+ζ92−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ920000000000000011−521+52ζ4+ζ116ζ44+ζ76ζ52+ζ68ζ28+ζ92000000
χ638-88−2−25−2+25-82+252−25−2−25−2−25−2+25−2+252+252+252−252−2502-2000000000000000000000002-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−520000000000000
χ648-88−2+25−2−25-82−252+25−2+25−2+25−2−25−2−252−252−252+252+2502-2000000000000000000000002-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+520000000000000
χ658-8-4884-8-8-4-4-4-4444402-200000000000000000000000-112-1-12-1-1-211-2110000000000000
χ668-8-4−2−25−2+2542+252−25−4ζ52−4ζ68−4ζ28−4ζ92−4ζ44−4ζ76−4ζ4−4ζ1164ζ52+4ζ684ζ28+4ζ924ζ44+4ζ764ζ4+4ζ11602-200000000000000000000000-11−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ1161+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ1160000000000000
χ678-8-4−2−25−2+2542+252−25−4ζ28−4ζ92−4ζ52−4ζ68−4ζ4−4ζ116−4ζ44−4ζ764ζ28+4ζ924ζ52+4ζ684ζ4+4ζ1164ζ44+4ζ7602-200000000000000000000000-11−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ761+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ760000000000000
χ688-8-4−2+25−2−2542−252+25−4ζ44−4ζ76−4ζ4−4ζ116−4ζ28−4ζ92−4ζ52−4ζ684ζ44+4ζ764ζ4+4ζ1164ζ28+4ζ924ζ52+4ζ6802-200000000000000000000000-11−1+52−ζ44−ζ76−ζ4−ζ116−1−52−ζ28−ζ92−ζ52−ζ681−52ζ44+ζ76ζ4+ζ1161+52ζ28+ζ92ζ52+ζ680000000000000
χ698-8-4−2+25−2−2542−252+25−4ζ4−4ζ116−4ζ44−4ζ76−4ζ52−4ζ68−4ζ28−4ζ924ζ4+4ζ1164ζ44+4ζ764ζ52+4ζ684ζ28+4ζ9202-200000000000000000000000-11−1+52−ζ4−ζ116−ζ44−ζ76−1−52−ζ52−ζ68−ζ28−ζ921−52ζ4+ζ116ζ44+ζ761+52ζ52+ζ68ζ28+ζ920000000000000

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