Finite Group Databasebeta

← Group #14513230

Character table — Group #14513230

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222226688881010121212121212121212121212121212121616161616161616242424243030404040406060606011112222222266888810101212121212121212121212121212121216161616161616162424242430304040404060606060
order122255101010101010443666442288202020204040404040404040151530303030303010101010441212121244882222101010101010101044666644228820202020404040404040404030303030303030301010101044121212124488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ3111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ511-1-111-1-1-1-1111-111-1-1i−i1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1i−iii−i−ii−ii−i11-1-111-1-1-1-1111-111-1-1i−i1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1i−iii−i−ii−ii−i
χ611-1-111-1-1-1-1111-111-1-1i−i-11-11-1-111-1-1-1-111111111-1-1-1-1-1-111i−iii−i−i−ii−ii11-1-111-1-1-1-1111-111-1-1i−i-11-11-1-111-1-1-1-111111111-1-1-1-1-1-111i−iii−i−i−ii−ii
χ711-1-111-1-1-1-1111-111-1-1−ii1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1−ii−i−iii−ii−ii11-1-111-1-1-1-1111-111-1-1−ii1-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-1−ii−i−iii−ii−ii
χ811-1-111-1-1-1-1111-111-1-1−ii-11-11-1-111-1-1-1-111111111-1-1-1-1-1-111−ii−i−iiii−ii−i11-1-111-1-1-1-1111-111-1-1−ii-11-11-1-111-1-1-1-111111111-1-1-1-1-1-111−ii−i−iiii−ii−i
χ922222222222222-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1000022-1-1-1-1000022222222222222-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1000022-1-1-1-10000
χ1022222222222222-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-10000-2-21111000022222222222222-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-10000-2-211110000
χ112222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222002222−1−52−1+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+5200000000002222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222002222−1−52−1+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+520000000000
χ122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222200-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000000002222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222200-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000000000
χ132222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222002222−1+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+52−1−5200000000002222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222002222−1+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+52−1−520000000000
χ142222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222200-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000000002222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222200-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000000000
χ1522-2-222-2-2-2-2222-2-1-1112i−2i0000-2-22200000000-1-1-1-1111100002i−2i−i−iii000022-2-222-2-2-2-2222-2-1-1112i−2i0000-2-22200000000-1-1-1-1111100002i−2i−i−iii0000
χ1622-2-222-2-2-2-2222-2-1-111−2i2i0000-2-22200000000-1-1-1-111110000−2i2iii−i−i000022-2-222-2-2-2-2222-2-1-111−2i2i0000-2-22200000000-1-1-1-111110000−2i2iii−i−i0000
χ1722-2-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-2002-22-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−52000000000022-2-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-2002-22-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−520000000000
χ1822-2-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-200-22-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+52000000000022-2-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-200-22-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+520000000000
χ1922-2-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-2002-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52000000000022-2-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-2002-22-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+520000000000
χ2022-2-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-200-22-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−52000000000022-2-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-200-22-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−520000000000
χ21333333333333-1-100003311-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1000011-1-1333333333333-1-100003311-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1000011-1-1
χ22333333333333-1-1000033-1-111-1-1-1-11111111100000000-1-1-1-1-1-10000-1-111333333333333-1-1000033-1-111-1-1-1-11111111100000000-1-1-1-1-1-10000-1-111
χ23333333333333-1-10000-3-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111110000-1-111333333333333-1-10000-3-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111110000-1-111
χ24333333333333-1-10000-3-3-1-111-1-1-1-11111111100000000-1-1-1-111000011-1-1333333333333-1-10000-3-3-1-111-1-1-1-11111111100000000-1-1-1-111000011-1-1
χ2533-3-333-3-3-3-333-1100003i−3i1-1-1111-1-1-1-1-1-111110000000011-1-1−ii0000i−i−ii33-3-333-3-3-3-333-1100003i−3i1-1-1111-1-1-1-1-1-111110000000011-1-1−ii0000i−i−ii
χ2633-3-333-3-3-3-333-1100003i−3i-111-111-1-11111-1-1-1-100000000-1-111−ii0000−iii−i33-3-333-3-3-3-333-1100003i−3i-111-111-1-11111-1-1-1-100000000-1-111−ii0000−iii−i
χ2733-3-333-3-3-3-333-110000−3i3i1-1-1111-1-1-1-1-1-111110000000011-1-1i−i0000−iii−i33-3-333-3-3-3-333-110000−3i3i1-1-1111-1-1-1-1-1-111110000000011-1-1i−i0000−iii−i
χ2833-3-333-3-3-3-333-110000−3i3i-111-111-1-11111-1-1-1-100000000-1-111i−i0000i−i−ii33-3-333-3-3-3-333-110000−3i3i-111-111-1-11111-1-1-1-100000000-1-111i−i0000i−i−ii
χ294444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-2-2-2-2000000−1−5−1+5−1−5−1+5000000001+521−521+521−521+521+521−521−52000000000000004444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-2-2-2-2000000−1−5−1+5−1−5−1+5000000001+521−521+521−521+521+521−521−5200000000000000
χ304444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-2-2-2-2000000−1+5−1−5−1+5−1−5000000001−521+521−521+521−521−521+521+52000000000000004444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-2-2-2-2000000−1+5−1−5−1+5−1−5000000001−521+521−521+521−521−521+521+5200000000000000
χ3144-4-4−1−5−1+51+51+51−51−5−1−5−1+54-4-2-2220000001+51−5−1−5−1+5000000001+521−521+521−52−1−52−1−52−1+52−1+520000000000000044-4-4−1−5−1+51+51+51−51−5−1−5−1+54-4-2-2220000001+51−5−1−5−1+5000000001+521−521+521−52−1−52−1−52−1+52−1+5200000000000000
χ3244-4-4−1+5−1−51−51−51+51+5−1+5−1−54-4-2-2220000001−51+5−1+5−1−5000000001−521+521−521+52−1+52−1+52−1−52−1−520000000000000044-4-4−1+5−1−51−51−51+51+5−1+5−1−54-4-2-2220000001−51+5−1+5−1−5000000001−521+521−521+52−1+52−1+52−1−52−1−5200000000000000
χ334-44-4444-44-4-4-4001-1-1100000000000000000011-1-11-11-1000000−i3i3−i3i300004-44-4444-44-4-4-4001-1-1100000000000000000011-1-11-11-1000000−i3i3−i3i30000
χ344-44-4444-44-4-4-4001-1-1100000000000000000011-1-11-11-1000000i3−i3i3−i300004-44-4444-44-4-4-4001-1-1100000000000000000011-1-11-11-1000000i3−i3i3−i30000
χ354-44-4444-44-4-4-400-222-2000000000000000000-2-222-22-22000000000000004-44-4444-44-4-4-400-222-2000000000000000000-2-222-22-2200000000000000
χ364-44-4−1−5−1+5−1−51+5−1+51−51+51−500-222-20000000000ζ7−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+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ1191+521−52−1−52−1+521+52−1−521−52−1+52000000000000004-44-4−1−5−1+5−1−51+5−1+51−51+51−500-222-20000000000ζ7−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+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ1191+521−52−1−52−1+521+52−1−521−52−1+5200000000000000
χ374-44-4−1−5−1+5−1−51+5−1+51−51+51−500-222-20000000000−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−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ1191+521−52−1−52−1+521+52−1−521−52−1+52000000000000004-44-4−1−5−1+5−1−51+5−1+51−51+51−500-222-20000000000−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−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ1191+521−52−1−52−1+521+52−1−521−52−1+5200000000000000
χ384-44-4−1+5−1−5−1+51−5−1−51+51−51+500-222-20000000000−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−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ1031−521+52−1+52−1−521−52−1+521+52−1−52000000000000004-44-4−1+5−1−5−1+51−5−1−51+51−51+500-222-20000000000−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−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ1031−521+52−1+52−1−521−52−1+521+52−1−5200000000000000
χ394-44-4−1+5−1−5−1+51−5−1−51+51−51+500-222-20000000000ζ29−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−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ1031−521+52−1+52−1−521−52−1+521+52−1−52000000000000004-44-4−1+5−1−5−1+51−5−1−51+51−51+500-222-20000000000ζ29−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−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ1031−521+52−1+52−1−521−52−1+521+52−1−5200000000000000
χ404-4-4444-44-44-4-4001-11-100000000000000000011-1-1-11-110000003−3−3300004-4-4444-44-44-4-4001-11-100000000000000000011-1-1-11-110000003−3−330000
χ414-4-4444-44-44-4-4001-11-100000000000000000011-1-1-11-11000000−333−300004-4-4444-44-44-4-4001-11-100000000000000000011-1-1-11-11000000−333−30000
χ424-4-4444-44-44-4-400-22-22000000000000000000-2-2222-22-2000000000000004-4-4444-44-44-4-400-22-22000000000000000000-2-2222-22-200000000000000
χ434-4-44−1−5−1+51+5−1−51−5−1+51+51−500-22-220000000000ζ7−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−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−ζ1191+521−52−1−52−1+52−1−521+52−1+521−52000000000000004-4-44−1−5−1+51+5−1−51−5−1+51+51−500-22-220000000000ζ7−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−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−ζ1191+521−52−1−52−1+52−1−521+52−1+521−5200000000000000
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χ8433-3-333-3-3-3-333-1100003i−3i-111-111-1-11111-1-1-1-100000000-1-111−ii0000−iii−i-3-333-3-33333-3-31-10000−3i3i1-1-11-1-111-1-1-1-111110000000011-1-1i−i0000i−i−ii
χ8533-3-333-3-3-3-333-110000−3i3i1-1-1111-1-1-1-1-1-111110000000011-1-1i−i0000−iii−i-3-333-3-33333-3-31-100003i−3i-111-1-1-1111111-1-1-1-100000000-1-111−ii0000i−i−ii
χ8633-3-333-3-3-3-333-110000−3i3i-111-111-1-11111-1-1-1-100000000-1-111i−i0000i−i−ii-3-333-3-33333-3-31-100003i−3i1-1-11-1-111-1-1-1-111110000000011-1-1−ii0000−iii−i
χ874444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-2-2-2-2000000−1−5−1+5−1−5−1+5000000001+521−521+521−521+521+521−521−5200000000000000-4-4-4-41+51−51+51+51−51−51+51−5-4-422220000001+51−51+51−500000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000
χ884444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-2-2-2-2000000−1+5−1−5−1+5−1−5000000001−521+521−521+521−521−521+521+5200000000000000-4-4-4-41−51+51−51−51+51+51−51+5-4-422220000001−51+51−51+500000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000
χ8944-4-4−1−5−1+51+51+51−51−5−1−5−1+54-4-2-2220000001+51−5−1−5−1+5000000001+521−521+521−52−1−52−1−52−1+52−1+5200000000000000-4-4441+51−5−1−5−1−5−1+5−1+51+51−5-4422-2-2000000−1−5−1+51+51−500000000−1−52−1+52−1−52−1+521+521+521−521−5200000000000000
χ9044-4-4−1+5−1−51−51−51+51+5−1+5−1−54-4-2-2220000001−51+5−1+5−1−5000000001−521+521−521+52−1+52−1+52−1−52−1−5200000000000000-4-4441−51+5−1+5−1+5−1−5−1−51−51+5-4422-2-2000000−1+5−1−51−51+500000000−1+52−1−52−1+52−1−521−521−521+521+5200000000000000
χ914-44-4444-44-4-4-4001-1-1100000000000000000011-1-11-11-1000000−i3i3−i3i30000-44-44-4-4-44-444400-111-1000000000000000000-1-111-11-11000000i3−i3i3−i30000
χ924-44-4444-44-4-4-4001-1-1100000000000000000011-1-11-11-1000000i3−i3i3−i30000-44-44-4-4-44-444400-111-1000000000000000000-1-111-11-11000000−i3i3−i3i30000
χ934-44-4444-44-4-4-400-222-2000000000000000000-2-222-22-2200000000000000-44-44-4-4-44-4444002-2-2200000000000000000022-2-22-22-200000000000000
χ944-44-4−1−5−1+5−1−51+5−1+51−51+51−500-222-20000000000ζ7−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+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ1191+521−52−1−52−1+521+52−1−521−52−1+5200000000000000-44-441+51−51+5−1−51−5−1+5−1−5−1+5002-2-220000000000−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−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119−1−52−1+521+521−52−1−521+52−1+521−5200000000000000
χ954-44-4−1−5−1+5−1−51+5−1+51−51+51−500-222-20000000000−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−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ1191+521−52−1−52−1+521+52−1−521−52−1+5200000000000000-44-441+51−51+5−1−51−5−1+5−1−5−1+5002-2-220000000000ζ7−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+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−1−52−1+521+521−52−1−521+52−1+521−5200000000000000
χ964-44-4−1+5−1−5−1+51−5−1−51+51−51+500-222-20000000000−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−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ1031−521+52−1+52−1−521−52−1+521+52−1−5200000000000000-44-441−51+51−5−1+51+5−1−5−1+5−1−5002-2-220000000000ζ29−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−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103−1+52−1−521−521+52−1+521−52−1−521+5200000000000000
χ974-44-4−1+5−1−5−1+51−5−1−51+51−51+500-222-20000000000ζ29−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−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ1031−521+52−1+52−1−521−52−1+521+52−1−5200000000000000-44-441−51+51−5−1+51+5−1−5−1+5−1−5002-2-220000000000−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−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−1+52−1−521−521+52−1+521−52−1−521+5200000000000000
χ984-4-4444-44-44-4-4001-11-100000000000000000011-1-1-11-110000003−3−330000-444-4-4-44-44-44400-11-11000000000000000000-1-1111-11-1000000−333−30000
χ994-4-4444-44-44-4-4001-11-100000000000000000011-1-1-11-11000000−333−30000-444-4-4-44-44-44400-11-11000000000000000000-1-1111-11-10000003−3−330000
χ1004-4-4444-44-44-4-400-22-22000000000000000000-2-2222-22-200000000000000-444-4-4-44-44-444002-22-200000000000000000022-2-2-22-2200000000000000
χ1014-4-44−1−5−1+51+5−1−51−5−1+51+51−500-22-220000000000ζ7−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−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−ζ1191+521−52−1−52−1+52−1−521+52−1+521−5200000000000000-444-41+51−5−1−51+5−1+51−5−1−5−1+5002-22-20000000000−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+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+ζ119−1−52−1+521+521−521+52−1−521−52−1+5200000000000000
χ1024-4-44−1−5−1+51+5−1−51−5−1+51+51−500-22-220000000000−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+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+ζ1191+521−52−1−52−1+52−1−521+52−1+521−5200000000000000-444-41+51−5−1−51+5−1+51−5−1−5−1+5002-22-20000000000ζ7−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−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−ζ119−1−52−1+521+521−521+52−1−521−52−1+5200000000000000
χ1034-4-44−1+5−1−51−5−1+51+5−1−51−51+500-22-220000000000−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−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+ζ1031−521+52−1+52−1−52−1+521−52−1−521+5200000000000000-444-41−51+5−1+51−5−1−51+5−1+5−1−5002-22-20000000000ζ29−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+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−ζ103−1+52−1−521−521+521−52−1+521+52−1−5200000000000000
χ1044-4-44−1+5−1−51−5−1+51+5−1−51−51+500-22-220000000000ζ29−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+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−ζ1031−521+52−1+52−1−52−1+521−52−1−521+5200000000000000-444-41−51+5−1+51−5−1−51+5−1+5−1−5002-22-20000000000−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−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+ζ103−1+52−1−521−521+521−52−1+521+52−1−5200000000000000
χ1056666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352-2-200000022-2-21+521−521+521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000000000-6-6-6-63+3523−3523+3523+3523−3523−3523+3523−35222000000-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000000000
χ1066666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352-2-2000000-2-2221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000000000-6-6-6-63+3523−3523+3523+3523−3523−3523+3523−3522200000022-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000000000
χ1076666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352-2-200000022-2-21−521+521−521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000000000-6-6-6-63−3523+3523−3523−3523+3523+3523−3523+35222000000-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000000000
χ1086666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352-2-2000000-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000000000-6-6-6-63−3523+3523−3523−3523+3523+3523−3523+3522200000022-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000000000
χ10966-6-6−3−352−3+3523+3523+3523−3523−352−3−352−3+352-220000002-2-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000000000-6-6663+3523−352−3−352−3−352−3+352−3+3523+3523−3522-2000000-222-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000000000
χ11066-6-6−3−352−3+3523+3523+3523−3523−352−3−352−3+352-22000000-222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000000000-6-6663+3523−352−3−352−3−352−3+352−3+3523+3523−3522-20000002-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000000000
χ11166-6-6−3+352−3−3523−3523−3523+3523+352−3+352−3−352-220000002-2-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000000000-6-6663−3523+352−3+352−3+352−3−352−3−3523−3523+3522-2000000-222-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000000000
χ11266-6-6−3+352−3−3523−3523−3523+3523+352−3+352−3−352-22000000-222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000000000-6-6663−3523+352−3+352−3+352−3−352−3−3523−3523+3522-20000002-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000000000
χ1138-88-8−2−25−2+25−2−252+25−2+252−252+252−25002-2-22000000000000000000−1−52−1+521+521−52−1−521+52−1+521−5200000000000000-88-882+252−252+25−2−252−25−2+25−2−25−2+2500-222-20000000000000000001+521−52−1−52−1+521+52−1−521−52−1+5200000000000000
χ1148-88-8−2+25−2−25−2+252−25−2−252+252−252+25002-2-22000000000000000000−1+52−1−521−521+52−1+521−52−1−521+5200000000000000-88-882−252+252−25−2+252+25−2−25−2+25−2−2500-222-20000000000000000001−521+52−1+52−1−521−52−1+521+52−1−5200000000000000
χ1158-8-88−2−25−2+252+25−2−252−25−2+252+252−25002-22-2000000000000000000−1−52−1+521+521−521+52−1−521−52−1+5200000000000000-888-82+252−25−2−252+25−2+252−25−2−25−2+2500-22-220000000000000000001+521−52−1−52−1+52−1−521+52−1+521−5200000000000000
χ1168-8-88−2+25−2−252−25−2+252+25−2−252−252+25002-22-2000000000000000000−1+52−1−521−521+521−52−1+521+52−1−5200000000000000-888-82−252+25−2+252−25−2−252+25−2+25−2−2500-22-220000000000000000001−521+52−1+52−1−52−1+521−52−1−521+5200000000000000

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