Finite Group Databasebeta

← Group #13087514

Character table — Group #13087514

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222444466122244488881212242244488881212242244488881212242244488881212242244488881212242244488881212242244488881212241515303030606060609090180
order1234641212128823631261212121224246510152030206060604040105101520302060606040401015301560306060606012012030153015603060606060120120301530156030606060601201203015301560306060606012012030226464121212882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-1
χ411111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11
χ5222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-111000
χ822-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000
χ922-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000
χ102-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20
χ112-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1511111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-1-1-1-1-1-11-111-1-11
χ1611111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11-1-1-1-1-11-11111-1
χ17222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000-2-2-22-20200000
χ1822-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000
χ1922-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-111000-2-21-2121-1-1000
χ2022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000-2-21210-1i3−i3000
χ2122-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000-2-21210-1−i3i3000
χ222-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i202-220-20000−i2i20-22-2020000i2−i20
χ232-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i202-220-20000i2−i20-22-2020000−i2i20
χ244-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000-4420-20000000
χ25222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000
χ26222222222-2-2-2222222222-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52000000000000
χ2722222-22-2-222-222222-22-2-222-2−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52000000000000
χ2822222-22-2-2-2-2222222-22-2-2-2-22−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52000000000000
χ29444-440-400000444-440-400000−1+5−1+5−1+51−5−1+501−500000−1−5−1−5−1−51+5−1−501+500000−1+5−1+5−1+51−5−1+501−500000−1+5−1+5−1+51−5−1+501−500000−1−5−1−5−1−51+5−1−501+500000−1−5−1−5−1−51+5−1−501+500000000000000000
χ3044-24-24-2-2-200044-24-24-2-2-2000−1+5−1+51−52−1+51−52−1+51−521−521−52000−1−5−1−51+52−1−51+52−1−51+521+521+52000−1+5−1+51−52−1+51−52−1+51−521−521−52000−1+5−1+51−52−1+51−52−1+51−521−521−52000−1−5−1−51+52−1−51+52−1−51+521+521+52000−1−5−1−51+52−1−51+52−1−51+521+521+52000000000000000
χ3144-24-2-4-22200044-24-2-4-222000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000000000000000
χ3244-2-4-202−2i32i300044-2-4-202−2i32i3000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000000000000000
χ3344-2-4-2022i3−2i300044-2-4-2022i3−2i3000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000000000000000
χ344-440-40000−2i22i204-440-40000−2i22i20−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030000000000000
χ354-440-400002i2−2i204-440-400002i2−2i20−1+51−5−1+501−50000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ1190−1−51+5−1−501+50000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ1030−1+51−5−1+501−50000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ1190−1+51−5−1+501−50000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ1190−1−51+5−1−501+50000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ1030−1−51+5−1−501+50000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ1030000000000000
χ368-8-40400000008-8-4040000000−2+252−251−50−1+50000000−2−252+251+50−1−50000000−2+252−251−50−1+50000000−2+252−251−50−1+50000000−2−252+251+50−1−50000000−2−252+251+50−1−50000000000000000000
χ37222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52000000000000
χ38222222222-2-2-2222222222-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52000000000000
χ3922222-22-2-222-222222-22-2-222-2−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52000000000000
χ4022222-22-2-2-2-2222222-22-2-2-2-22−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52000000000000
χ41444-440-400000444-440-400000−1−5−1−5−1−51+5−1−501+500000−1+5−1+5−1+51−5−1+501−500000−1−5−1−5−1−51+5−1−501+500000−1−5−1−5−1−51+5−1−501+500000−1+5−1+5−1+51−5−1+501−500000−1+5−1+5−1+51−5−1+501−500000000000000000
χ4244-24-24-2-2-200044-24-24-2-2-2000−1−5−1−51+52−1−51+52−1−51+521+521+52000−1+5−1+51−52−1+51−52−1+51−521−521−52000−1−5−1−51+52−1−51+52−1−51+521+521+52000−1−5−1−51+52−1−51+52−1−51+521+521+52000−1+5−1+51−52−1+51−52−1+51−521−521−52000−1+5−1+51−52−1+51−52−1+51−521−521−52000000000000000
χ4344-24-2-4-22200044-24-2-4-222000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000000000000000
χ4444-2-4-202−2i32i300044-2-4-202−2i32i3000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000000000000000
χ4544-2-4-2022i3−2i300044-2-4-2022i3−2i3000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000000000000000
χ464-440-40000−2i22i204-440-40000−2i22i20−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190000000000000
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χ5122222-22-2-222-2-1-1-1-1-11-111-1-1122222-22-2-222-222222-22-2-222-2-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-11000000000000
χ5222222-22-2-2-2-22-1-1-1-1-11-11111-122222-22-2-2-2-2222222-22-2-2-2-22-1-1-1-1-11-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-11111-1000000000000
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χ5444-24-24-2-2-2000-2-21-21-211100044-24-24-2-2-200044-24-24-2-2-2000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000000000000000
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χ5644-2-4-202−2i32i3000-2-21210-1i3−i300044-2-4-202−2i32i300044-2-4-202−2i32i3000-2-21210-1i3−i3000-2-21210-1i3−i3000-2-21210-1i3−i3000-2-21210-1i3−i3000000000000000
χ5744-2-4-2022i3−2i3000-2-21210-1−i3i300044-2-4-2022i3−2i300044-2-4-2022i3−2i3000-2-21210-1−i3i3000-2-21210-1−i3i3000-2-21210-1−i3i3000-2-21210-1−i3i3000000000000000
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χ62222222222-2-2-2-1-1-1-1-1-1-1-1-1111−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68000000000000
χ6322222-22-2-222-2-1-1-1-1-11-111-1-11−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68000000000000
χ6422222-22-2-2-2-22-1-1-1-1-11-11111-1−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116−ζ4−ζ116−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68−ζ52−ζ68000000000000
χ65444-440-400000-2-2-22-20200000−1+5−1+5−1+51−5−1+501−500000−1−5−1−5−1−51+5−1−501+500000−2ζ44−2ζ76−2ζ44−2ζ76−2ζ44−2ζ762ζ44+2ζ76−2ζ44−2ζ7602ζ44+2ζ7600000−2ζ4−2ζ116−2ζ4−2ζ116−2ζ4−2ζ1162ζ4+2ζ116−2ζ4−2ζ11602ζ4+2ζ11600000−2ζ28−2ζ92−2ζ28−2ζ92−2ζ28−2ζ922ζ28+2ζ92−2ζ28−2ζ9202ζ28+2ζ9200000−2ζ52−2ζ68−2ζ52−2ζ68−2ζ52−2ζ682ζ52+2ζ68−2ζ52−2ζ6802ζ52+2ζ6800000000000000000
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χ73222222222222-1-1-1-1-1-1-1-1-1-1-1-1−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92000000000000
χ74222222222-2-2-2-1-1-1-1-1-1-1-1-1111−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92000000000000
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χ968-8-4040000000-4420-20000000−2−252+251+50−1−50000000−2+252−251−50−1+50000000−4ζ28−4ζ924ζ28+4ζ922ζ28+2ζ920−2ζ28−2ζ920000000−4ζ52−4ζ684ζ52+4ζ682ζ52+2ζ680−2ζ52−2ζ680000000−4ζ4−4ζ1164ζ4+4ζ1162ζ4+2ζ1160−2ζ4−2ζ1160000000−4ζ44−4ζ764ζ44+4ζ762ζ44+2ζ760−2ζ44−2ζ760000000000000000000
χ97222222222222-1-1-1-1-1-1-1-1-1-1-1-1−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116000000000000
χ98222222222-2-2-2-1-1-1-1-1-1-1-1-1111−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−52−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116000000000000
χ9922222-22-2-222-2-1-1-1-1-11-111-1-11−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+52−1+521−52−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116000000000000
χ10022222-22-2-2-2-22-1-1-1-1-11-11111-1−1−52−1−52−1−52−1−52−1−521+52−1−521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−521−521−52−1+52−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68−ζ52−ζ68ζ52+ζ68−ζ52−ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92−ζ28−ζ92ζ28+ζ92−ζ28−ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92−ζ28−ζ92−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116−ζ4−ζ116ζ4+ζ116−ζ4−ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116−ζ4−ζ116000000000000
χ101444-440-400000-2-2-22-20200000−1−5−1−5−1−51+5−1−501+500000−1+5−1+5−1+51−5−1+501−500000−2ζ52−2ζ68−2ζ52−2ζ68−2ζ52−2ζ682ζ52+2ζ68−2ζ52−2ζ6802ζ52+2ζ6800000−2ζ28−2ζ92−2ζ28−2ζ92−2ζ28−2ζ922ζ28+2ζ92−2ζ28−2ζ9202ζ28+2ζ9200000−2ζ44−2ζ76−2ζ44−2ζ76−2ζ44−2ζ762ζ44+2ζ76−2ζ44−2ζ7602ζ44+2ζ7600000−2ζ4−2ζ116−2ζ4−2ζ116−2ζ4−2ζ1162ζ4+2ζ116−2ζ4−2ζ11602ζ4+2ζ11600000000000000000
χ10244-24-24-2-2-2000-2-21-21-2111000−1−5−1−51+52−1−51+52−1−51+521+521+52000−1+5−1+51−52−1+51−52−1+51−521−521−52000−2ζ52−2ζ68−2ζ52−2ζ68ζ52+ζ68−2ζ52−2ζ68ζ52+ζ68−2ζ52−2ζ68ζ52+ζ68ζ52+ζ68ζ52+ζ68000−2ζ28−2ζ92−2ζ28−2ζ92ζ28+ζ92−2ζ28−2ζ92ζ28+ζ92−2ζ28−2ζ92ζ28+ζ92ζ28+ζ92ζ28+ζ92000−2ζ44−2ζ76−2ζ44−2ζ76ζ44+ζ76−2ζ44−2ζ76ζ44+ζ76−2ζ44−2ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76000−2ζ4−2ζ116−2ζ4−2ζ116ζ4+ζ116−2ζ4−2ζ116ζ4+ζ116−2ζ4−2ζ116ζ4+ζ116ζ4+ζ116ζ4+ζ116000000000000000
χ10344-24-2-4-222000-2-21-2121-1-1000−1−5−1−51+52−1−51+521+51+52−1−52−1−52000−1+5−1+51−52−1+51−521−51−52−1+52−1+52000−2ζ52−2ζ68−2ζ52−2ζ68ζ52+ζ68−2ζ52−2ζ68ζ52+ζ682ζ52+2ζ68ζ52+ζ68−ζ52−ζ68−ζ52−ζ68000−2ζ28−2ζ92−2ζ28−2ζ92ζ28+ζ92−2ζ28−2ζ92ζ28+ζ922ζ28+2ζ92ζ28+ζ92−ζ28−ζ92−ζ28−ζ92000−2ζ44−2ζ76−2ζ44−2ζ76ζ44+ζ76−2ζ44−2ζ76ζ44+ζ762ζ44+2ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76000−2ζ4−2ζ116−2ζ4−2ζ116ζ4+ζ116−2ζ4−2ζ116ζ4+ζ1162ζ4+2ζ116ζ4+ζ116−ζ4−ζ116−ζ4−ζ116000000000000000
χ10444-2-4-202−2i32i3000-2-21210-1i3−i3000−1−5−1−51+521+51+520−1−52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000−1+5−1+51−521−51−520−1+52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000−2ζ52−2ζ68−2ζ52−2ζ68ζ52+ζ682ζ52+2ζ68ζ52+ζ680−ζ52−ζ68−2ζ28+ζ52−ζ68+2ζ922ζ28−ζ52+ζ68−2ζ92000−2ζ28−2ζ92−2ζ28−2ζ92ζ28+ζ922ζ28+2ζ92ζ28+ζ920−ζ28−ζ92ζ28−2ζ52+2ζ68−ζ92−ζ28+2ζ52−2ζ68+ζ92000−2ζ44−2ζ76−2ζ44−2ζ76ζ44+ζ762ζ44+2ζ76ζ44+ζ760−ζ44−ζ76−2ζ4−ζ44+ζ76+2ζ1162ζ4+ζ44−ζ76−2ζ116000−2ζ4−2ζ116−2ζ4−2ζ116ζ4+ζ1162ζ4+2ζ116ζ4+ζ1160−ζ4−ζ116ζ4+2ζ44−2ζ76−ζ116−ζ4−2ζ44+2ζ76+ζ116000000000000000
χ10544-2-4-2022i3−2i3000-2-21210-1−i3i3000−1−5−1−51+521+51+520−1−52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000−1+5−1+51−521−51−520−1+52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000−2ζ52−2ζ68−2ζ52−2ζ68ζ52+ζ682ζ52+2ζ68ζ52+ζ680−ζ52−ζ682ζ28−ζ52+ζ68−2ζ92−2ζ28+ζ52−ζ68+2ζ92000−2ζ28−2ζ92−2ζ28−2ζ92ζ28+ζ922ζ28+2ζ92ζ28+ζ920−ζ28−ζ92−ζ28+2ζ52−2ζ68+ζ92ζ28−2ζ52+2ζ68−ζ92000−2ζ44−2ζ76−2ζ44−2ζ76ζ44+ζ762ζ44+2ζ76ζ44+ζ760−ζ44−ζ762ζ4+ζ44−ζ76−2ζ116−2ζ4−ζ44+ζ76+2ζ116000−2ζ4−2ζ116−2ζ4−2ζ116ζ4+ζ1162ζ4+2ζ116ζ4+ζ1160−ζ4−ζ116−ζ4−2ζ44+2ζ76+ζ116ζ4+2ζ44−2ζ76−ζ116000000000000000
χ1064-440-40000−2i22i20-22-2020000i2−i20−1−51+5−1−501+50000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ1030−1+51−5−1+501−50000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ1190−2ζ52−2ζ682ζ52+2ζ68−2ζ52−2ζ6802ζ52+2ζ680000−ζ7−ζ23−ζ37−ζ53ζ7+ζ23+ζ37+ζ530−2ζ28−2ζ922ζ28+2ζ92−2ζ28−2ζ9202ζ28+2ζ920000−ζ13−ζ47−ζ77−ζ103ζ13+ζ47+ζ77+ζ1030−2ζ44−2ζ762ζ44+2ζ76−2ζ44−2ζ7602ζ44+2ζ760000−ζ29−ζ31−ζ61−ζ119ζ29+ζ31+ζ61+ζ1190−2ζ4−2ζ1162ζ4+2ζ116−2ζ4−2ζ11602ζ4+2ζ1160000−ζ71−ζ79−ζ101−ζ109ζ71+ζ79+ζ101+ζ1090000000000000
χ1074-440-400002i2−2i20-22-2020000−i2i20−1−51+5−1−501+50000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ1030−1+51−5−1+501−50000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ1190−2ζ52−2ζ682ζ52+2ζ68−2ζ52−2ζ6802ζ52+2ζ680000ζ7+ζ23+ζ37+ζ53−ζ7−ζ23−ζ37−ζ530−2ζ28−2ζ922ζ28+2ζ92−2ζ28−2ζ9202ζ28+2ζ920000ζ13+ζ47+ζ77+ζ103−ζ13−ζ47−ζ77−ζ1030−2ζ44−2ζ762ζ44+2ζ76−2ζ44−2ζ7602ζ44+2ζ760000ζ29+ζ31+ζ61+ζ119−ζ29−ζ31−ζ61−ζ1190−2ζ4−2ζ1162ζ4+2ζ116−2ζ4−2ζ11602ζ4+2ζ1160000ζ71+ζ79+ζ101+ζ109−ζ71−ζ79−ζ101−ζ1090000000000000
χ1088-8-4040000000-4420-20000000−2−252+251+50−1−50000000−2+252−251−50−1+50000000−4ζ52−4ζ684ζ52+4ζ682ζ52+2ζ680−2ζ52−2ζ680000000−4ζ28−4ζ924ζ28+4ζ922ζ28+2ζ920−2ζ28−2ζ920000000−4ζ44−4ζ764ζ44+4ζ762ζ44+2ζ760−2ζ44−2ζ760000000−4ζ4−4ζ1164ζ4+4ζ1162ζ4+2ζ1160−2ζ4−2ζ1160000000000000000000

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