Finite Group Databasebeta

← Group #10623765

Character table — Group #10623765

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222222222222222244444444444444444444444444444444441010101010101010101010101010101010103636363636180
order1233334556666101012121212121212121515151515151515202030303030303030306060606060606060606060606060606088242424242424242424242424242424244202020202
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ52222222−1−52−1+522222−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000000000002−1−52−1−52−1+52−1+520
χ62222222−1−52−1+522222−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000-21+521+521−521−520
χ72222222−1+52−1−522222−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000002−1+52−1+52−1−52−1−520
χ82222222−1+52−1−522222−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000-21−521−521+521+520
χ9222222-222222222-2-2-2-2-2-2-2-222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222-2−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160
χ11222222-2−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160
χ12222222-2−1+52−1−522222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+520000000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920
χ13222222-2−1+52−1−522222−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+520000000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920
χ14222-1-1-12222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ15222-1-1-12222-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000
χ16222-1-1-1-2222-1-1-122-2-21111112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000333333−3−3−3−3−3−3000000
χ17222-1-1-1-2222-1-1-122-2-21111112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000−3−3−3−3−3−3333333000000
χ1822-12-1-1222-12-1-122-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000
χ1922-12-1-1222-12-1-122-1-122-1-1-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111000000
χ2022-12-1-1-222-12-1-12211-2-21111-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-211110033−3−30033−3−30033−3−3000000
χ2122-12-1-1-222-12-1-12211-2-21111-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-2111100−3−33300−3−33300−3−333000000
χ2222-1-12-1222-1-12-122-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000
χ2322-1-12-1222-1-12-122-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111111-2-2111111-2-2000000
χ2422-1-12-1-222-1-12-1221111-2-211-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-2110033−3−3−3−3003333−3−300000000
χ2522-1-12-1-222-1-12-1221111-2-211-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-21100−3−3333300−3−3−3−33300000000
χ2622-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1000000
χ2722-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-211111111-2-211-2-211000000
χ2822-1-1-12-222-1-1-1222111111-2-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-20033−3−333−3−300−3−30033000000
χ2922-1-1-12-222-1-1-1222111111-2-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-200−3−333−3−333003300−3−3000000
χ302-22222022-2-2-2-2-2-2000000002222222200-2-2-2-2-2-2-2-20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000
χ312-22222022-2-2-2-2-2-2000000002222222200-2-2-2-2-2-2-2-20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
χ322-22-1-1-1022-2111-2-2003−33−33−32-1-1-12-1-1-100-2111-2111003−33−33−3003−33−33−3−i2i2−i2i2−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119000000
χ332-22-1-1-1022-2111-2-2003−33−33−32-1-1-12-1-1-100-2111-2111003−33−33−3003−33−33−3i2−i2i2−i2i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119000000
χ342-22-1-1-1022-2111-2-200−33−33−332-1-1-12-1-1-100-2111-211100−33−33−3300−33−33−33−i2i2−i2i2−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103000000
χ352-22-1-1-1022-2111-2-200−33−33−332-1-1-12-1-1-100-2111-211100−33−33−3300−33−33−33i2−i2i2−i2i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103000000
χ362-2-12-1-10221-211-2-23−3003−3−33-12-1-1-12-1-1001-2111-2113−3003−3−333−3003−3−33−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119000000
χ372-2-12-1-10221-211-2-23−3003−3−33-12-1-1-12-1-1001-2111-2113−3003−3−333−3003−3−33i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119000000
χ382-2-12-1-10221-211-2-2−3300−333−3-12-1-1-12-1-1001-2111-211−3300−333−3−3300−333−3−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103000000
χ392-2-12-1-10221-211-2-2−3300−333−3-12-1-1-12-1-1001-2111-211−3300−333−3−3300−333−3i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103000000
χ402-2-1-12-102211-21-2-23−3−33003−3-1-12-1-1-12-10011-2111-213−3−33003−33−3−33003−3−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−i2i2000000
χ412-2-1-12-102211-21-2-23−3−33003−3-1-12-1-1-12-10011-2111-213−3−33003−33−3−33003−3i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119i2−i2000000
χ422-2-1-12-102211-21-2-2−333−300−33-1-12-1-1-12-10011-2111-21−333−300−33−333−300−33−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−i2i2000000
χ432-2-1-12-102211-21-2-2−333−300−33-1-12-1-1-12-10011-2111-21−333−300−33−333−300−33i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103i2−i2000000
χ442-2-1-1-12022111-2-2-23−33−3−3300-1-1-12-1-1-1200111-2111-23−33−3−33003−33−3−3300−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103000000
χ452-2-1-1-12022111-2-2-23−33−3−3300-1-1-12-1-1-1200111-2111-23−33−3−33003−33−3−3300i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103000000
χ462-2-1-1-12022111-2-2-2−33−333−300-1-1-12-1-1-1200111-2111-2−33−333−300−33−333−300−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119000000
χ472-2-1-1-12022111-2-2-2−33−333−300-1-1-12-1-1-1200111-2111-2−33−333−300−33−333−300i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119000000
χ48444-2-2-24−1−5−1+54-2-2-2−1−5−1+544-2-2-2-2-2-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−52000000000000000000000000
χ49444-2-2-24−1+5−1−54-2-2-2−1+5−1−544-2-2-2-2-2-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+52000000000000000000000000
χ50444-2-2-2-4−1−5−1+54-2-2-2−1−5−1+5-4-4222222−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52000000000000000000000000
χ51444-2-2-2-4−1+5−1−54-2-2-2−1+5−1−5-4-4222222−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000
χ5244-24-2-24−1−5−1+5-24-2-2−1−5−1+5-2-244-2-2-2-21+52−1−51+521+521−52−1+51−521−52−1−5−1+51+52−1−51+521+521−52−1+51−521−521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−52000000000000000000000000
χ5344-24-2-24−1+5−1−5-24-2-2−1+5−1−5-2-244-2-2-2-21−52−1+51−521−521+52−1−51+521+52−1+5−1−51−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+52000000000000000000000000
χ5444-24-2-2-4−1−5−1+5-24-2-2−1−5−1+522-4-422221+52−1−51+521+521−52−1+51−521−521+51−51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+52000000000000000000000000
χ5544-24-2-2-4−1+5−1−5-24-2-2−1+5−1−522-4-422221−52−1+51−521−521+52−1−51+521+521−51+51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−52000000000000000000000000
χ5644-2-24-24−1−5−1+5-2-24-2−1−5−1+5-2-2-2-244-2-21+521+52−1−51+521−521−52−1+51−52−1−5−1+51+521+52−1−51+521−521−52−1+51−521+521+521+521+52−1−5−1−51+521+521−521−521−521−52−1+5−1+51−521−52000000000000000000000000
χ5744-2-24-24−1+5−1−5-2-24-2−1+5−1−5-2-2-2-244-2-21−521−52−1+51−521+521+52−1−51+52−1+5−1−51−521−52−1+51−521+521+52−1−51+521−521−521−521−52−1+5−1+51−521−521+521+521+521+52−1−5−1−51+521+52000000000000000000000000
χ5844-2-24-2-4−1−5−1+5-2-24-2−1−5−1+52222-4-4221+521+52−1−51+521−521−52−1+51−521+51−51+521+52−1−51+521−521−52−1+51−52−1−52−1−52−1−52−1−521+51+5−1−52−1−52−1+52−1+52−1+52−1+521−51−5−1+52−1+52000000000000000000000000
χ5944-2-24-2-4−1+5−1−5-2-24-2−1+5−1−52222-4-4221−521−52−1+51−521+521+52−1−51+521−51+51−521−52−1+51−521+521+52−1−51+52−1+52−1+52−1+52−1+521−51−5−1+52−1+52−1−52−1−52−1−52−1−521+51+5−1−52−1−52000000000000000000000000
χ6044-2-2-244−1−5−1+5-2-2-24−1−5−1+5-2-2-2-2-2-2441+521+521+52−1−51−521−521−52−1+5−1−5−1+51+521+521+52−1−51−521−521−52−1+51+521+521+521+521+521+52−1−5−1−51−521−521−521−521−521−52−1+5−1+5000000000000000000000000
χ6144-2-2-244−1+5−1−5-2-2-24−1+5−1−5-2-2-2-2-2-2441−521−521−52−1+51+521+521+52−1−5−1+5−1−51−521−521−52−1+51+521+521+52−1−51−521−521−521−521−521−52−1+5−1+51+521+521+521+521+521+52−1−5−1−5000000000000000000000000
χ6244-2-2-24-4−1−5−1+5-2-2-24−1−5−1+5222222-4-41+521+521+52−1−51−521−521−52−1+51+51−51+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−52−1−52−1−52−1−521+51+5−1+52−1+52−1+52−1+52−1+52−1+521−51−5000000000000000000000000
χ6344-2-2-24-4−1+5−1−5-2-2-24−1+5−1−5222222-4-41−521−521−52−1+51+521+521+52−1−51−51+51−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+52−1+52−1+52−1+521−51−5−1−52−1−52−1−52−1−52−1−52−1−521+51+5000000000000000000000000
χ644-444440−1−5−1+5-4-4-4-41+51−500000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−50000000000000000000000000000000000000000
χ654-444440−1+5−1−5-4-4-4-41−51+500000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+50000000000000000000000000000000000000000
χ664-44-2-2-20−1−5−1+5-42221+51−50023−2323−2323−23−1−51+521+521+52−1+51−521−521−52001+5−1−52−1−52−1−521−5−1+52−1+52−1+5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000
χ674-44-2-2-20−1−5−1+5-42221+51−500−2323−2323−2323−1−51+521+521+52−1+51−521−521−52001+5−1−52−1−52−1−521−5−1+52−1+52−1+5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000
χ684-44-2-2-20−1+5−1−5-42221−51+50023−2323−2323−23−1+51−521−521−52−1−51+521+521+52001−5−1+52−1+52−1+521+5−1−52−1−52−1−5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000
χ694-44-2-2-20−1+5−1−5-42221−51+500−2323−2323−2323−1+51−521−521−52−1−51+521+521+52001−5−1+52−1+52−1+521+5−1−52−1−52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000
χ704-4-24-2-20−1−5−1+52-4221+51−523−230023−23−23231+52−1−51+521+521−52−1+51−521−5200−1−521+5−1−52−1−52−1+521−5−1+52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000
χ714-4-24-2-20−1−5−1+52-4221+51−5−232300−232323−231+52−1−51+521+521−52−1+51−521−5200−1−521+5−1−52−1−52−1+521−5−1+52−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000
χ724-4-24-2-20−1+5−1−52-4221−51+523−230023−23−23231−52−1+51−521−521+52−1−51+521+5200−1+521−5−1+52−1+52−1−521+5−1−52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000
χ734-4-24-2-20−1+5−1−52-4221−51+5−232300−232323−231−52−1+51−521−521+52−1−51+521+5200−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000
χ744-4-2-24-20−1−5−1+522-421+51−523−23−23230023−231+521+52−1−51+521−521−52−1+51−5200−1−52−1−521+5−1−52−1+52−1+521−5−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000
χ754-4-2-24-20−1−5−1+522-421+51−5−232323−2300−23231+521+52−1−51+521−521−52−1+51−5200−1−52−1−521+5−1−52−1+52−1+521−5−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000
χ764-4-2-24-20−1+5−1−522-421−51+523−23−23230023−231−521−52−1+51−521+521+52−1−51+5200−1+52−1+521−5−1+52−1−52−1−521+5−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000
χ774-4-2-24-20−1+5−1−522-421−51+5−232323−2300−23231−521−52−1+51−521+521+52−1−51+5200−1+52−1+521−5−1+52−1−52−1−521+5−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000
χ784-4-2-2-240−1−5−1+5222-41+51−523−2323−23−2323001+521+521+52−1−51−521−521−52−1+500−1−52−1−52−1−521+5−1+52−1+52−1+521−5−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400000000000000000000000000
χ794-4-2-2-240−1−5−1+5222-41+51−5−2323−232323−23001+521+521+52−1−51−521−521−52−1+500−1−52−1−52−1−521+5−1+52−1+52−1+521−5ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400000000000000000000000000
χ804-4-2-2-240−1+5−1−5222-41−51+523−2323−23−2323001−521−521−52−1+51+521+521+52−1−500−1+52−1+52−1+521−5−1−52−1−52−1−521+5ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800000000000000000000000000
χ814-4-2-2-240−1+5−1−5222-41−51+5−2323−232323−23001−521−521−52−1+51+521+521+52−1−500−1+52−1+52−1+521−5−1−52−1−52−1−521+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800000000000000000000000000

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