Finite Group Databasebeta

← Group #14514165

Character table — Group #14514165

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112224444446688888812121216161616224448888881212161616161616242424323232322244488888812121616161616162424243232323255101010202020202020303040404040404060606080808080
order1248823346624121224242424248661212510204040101515203030102060601201201201201020403030606051020404010151520303010206060120120120120102040303060602248826646624121224242424248661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ3111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ411111-111-11111111111-1-11-1-1-1-111111-111-11111111111-1-11-1-1-1-111111-111-11111111111-1-11-1-1-1-111111-111-11111111111-1-11-1-1-1-1
χ511111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i3211111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i3211111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i3211111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32
χ611111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i3211111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i3211111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i3211111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32
χ7111-1-1111-1111111-1-1-1-1-11-111-1-1111-1-1111-1111111-1-1-1-1-11-111-1-1111-1-1111-1111111-1-1-1-1-11-111-1-1111-1-1111-1111111-1-1-1-1-11-111-1-1
χ8111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32
χ9111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32
χ10111-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1111111111-1-1-1-11-1-1-1-111
χ11111-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-11+i321−i32−1−i32−1+i32111-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-11+i321−i32−1−i32−1+i32111-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-11+i321−i32−1−i32−1+i32111-1-1-1−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-11+i321−i32−1−i32−1+i32
χ12111-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-11−i321+i32−1+i32−1−i32111-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-11−i321+i32−1+i32−1−i32111-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-11−i321+i32−1+i32−1−i32111-1-1-1−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-11−i321+i32−1+i32−1−i32
χ1322-200022022-22-2-20000000000022-200022022-22-2-20000000000022-200022022-22-2-20000000000022-200022022-22-2-200000000000
χ1422-2000−1−i3−1+i30−1−i3−1+i3-221+i31−i30000000000022-2000−1−i3−1+i30−1−i3−1+i3-221+i31−i30000000000022-2000−1−i3−1+i30−1−i3−1+i3-221+i31−i30000000000022-2000−1−i3−1+i30−1−i3−1+i3-221+i31−i300000000000
χ1522-2000−1+i3−1−i30−1+i3−1−i3-221−i31+i30000000000022-2000−1+i3−1−i30−1+i3−1−i3-221−i31+i30000000000022-2000−1+i3−1−i30−1+i3−1−i3-221−i31+i30000000000022-2000−1+i3−1−i30−1+i3−1−i3-221−i31+i300000000000
χ1633333300300-1-1000000-1-1-1000033333300300-1-1000000-1-1-1000033333300300-1-1000000-1-1-1000033333300300-1-1000000-1-1-10000
χ1733333-300-300-1-100000011-1000033333-300-300-1-100000011-1000033333-300-300-1-100000011-1000033333-300-300-1-100000011-10000
χ18333-3-3300-300-1-10000001-110000333-3-3300-300-1-10000001-110000333-3-3300-300-1-10000001-110000333-3-3300-300-1-10000001-110000
χ19333-3-3-300300-1-1000000-1110000333-3-3-300300-1-1000000-1110000333-3-3-300300-1-1000000-1110000333-3-3-300300-1-1000000-1110000
χ204-40−2i22i20-2-20220000−i2i2−i2i200000004-40−2i22i20-2-20220000−i2i2−i2i200000004-40−2i22i20-2-20220000−i2i2−i2i200000004-40−2i22i20-2-20220000−i2i2−i2i20000000
χ214-40−2i22i201+i31−i30−1−i3−1+i30000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900000004-40−2i22i201+i31−i30−1−i3−1+i30000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900000004-40−2i22i201+i31−i30−1−i3−1+i30000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900000004-40−2i22i201+i31−i30−1−i3−1+i30000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ1090000000
χ224-40−2i22i201−i31+i30−1+i3−1−i30000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900000004-40−2i22i201−i31+i30−1+i3−1−i30000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900000004-40−2i22i201−i31+i30−1+i3−1−i30000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900000004-40−2i22i201−i31+i30−1+i3−1−i30000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ1190000000
χ234-402i2−2i20-2-20220000i2−i2i2−i200000004-402i2−2i20-2-20220000i2−i2i2−i200000004-402i2−2i20-2-20220000i2−i2i2−i200000004-402i2−2i20-2-20220000i2−i2i2−i20000000
χ244-402i2−2i201+i31−i30−1−i3−1+i30000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900000004-402i2−2i201+i31−i30−1−i3−1+i30000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900000004-402i2−2i201+i31−i30−1−i3−1+i30000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900000004-402i2−2i201+i31−i30−1−i3−1+i30000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ1090000000
χ254-402i2−2i201−i31+i30−1+i3−1−i30000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900000004-402i2−2i201−i31+i30−1+i3−1−i30000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900000004-402i2−2i201−i31+i30−1+i3−1−i30000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900000004-402i2−2i201−i31+i30−1+i3−1−i30000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ1190000000
χ2666-6000000002-2000000000000066-6000000002-2000000000000066-6000000002-2000000000000066-6000000002-20000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i32-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-11+i321−i321+i321−i32
χ29111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i32-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-11−i321+i321−i321+i32
χ3011111-111-11111111111-1-11-1-1-1-111111-111-11111111111-1-11-1-1-1-111111-111-11111111111-1-11-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111-11111
χ3111111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i3211111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i3211111-1−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321−i321+i321−i32-1-1-1-1-111+i321−i3211+i321−i32-1-11+i321−i321+i321+i321−i321−i3211-1−1−i32−1+i32−1−i32−1+i32
χ3211111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i3211111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i3211111-1−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321+i321−i321+i32-1-1-1-1-111−i321+i3211−i321+i32-1-11−i321+i321−i321−i321+i321+i3211-1−1+i32−1−i32−1+i32−1−i32
χ33111-1-1111-1111111-1-1-1-1-11-111-1-1111-1-1111-1111111-1-1-1-1-11-111-1-1111-1-1111-1111111-1-1-1-1-11-111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-11-1-111
χ34111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32111-1-11−1−i32−1+i32-1−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-1−1−i32−1+i321+i321−i32-1-1-111-11+i321−i3211+i321−i32-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321-111+i321−i32−1−i32−1+i32
χ35111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32111-1-11−1+i32−1−i32-1−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-1−1+i32−1−i321−i321+i32-1-1-111-11−i321+i3211−i321+i32-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321-111−i321+i32−1+i32−1−i32
χ36111-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1111111111-1-1-1-11-1-1-1-111111-1-1-1111111111-1-1-1-11-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-11111-11111-1-1
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χ1008-80−4i24i202−2i32+2i30−2+2i3−2−2i300002ζ7+2ζ13+2ζ31+2ζ37+2ζ61+2ζ79+2ζ103+2ζ109−2ζ7−2ζ13−2ζ31−2ζ37−2ζ61−2ζ79−2ζ103−2ζ1092ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ77+2ζ101+2ζ119−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ77−2ζ101−2ζ1190000000−2−252+2502ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ10302ζ28+2ζ522ζ68+2ζ920−2ζ28−2ζ52−2ζ68−2ζ920000−ζ7−ζ13−ζ37−ζ103ζ7+ζ13+ζ37+ζ103−ζ23−ζ47−ζ53−ζ77ζ23+ζ47+ζ53+ζ770000000−2+252−2502ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ11902ζ4+2ζ762ζ44+2ζ1160−2ζ4−2ζ76−2ζ44−2ζ1160000−ζ31−ζ61−ζ79−ζ109ζ31+ζ61+ζ79+ζ109−ζ29−ζ71−ζ101−ζ119ζ29+ζ71+ζ101+ζ119000000000000000000000000000000000
χ1018-804i2−4i20-4-404400002i2−2i22i2−2i20000000−2−252+250−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ10301+51+50−1−5−1−50000−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+ζ1030000000−2+252−250−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ11901−51−50−1+5−1+50000−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+ζ119000000000000000000000000000000000
χ1028-804i2−4i202+2i32−2i30−2−2i3−2+2i30000−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ77−2ζ101−2ζ1192ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ77+2ζ101+2ζ119−2ζ7−2ζ13−2ζ31−2ζ37−2ζ61−2ζ79−2ζ103−2ζ1092ζ7+2ζ13+2ζ31+2ζ37+2ζ61+2ζ79+2ζ103+2ζ1090000000−2−252+250−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ10302ζ68+2ζ922ζ28+2ζ520−2ζ68−2ζ92−2ζ28−2ζ520000ζ23+ζ47+ζ53+ζ77−ζ23−ζ47−ζ53−ζ77ζ7+ζ13+ζ37+ζ103−ζ7−ζ13−ζ37−ζ1030000000−2+252−250−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ11902ζ44+2ζ1162ζ4+2ζ760−2ζ44−2ζ116−2ζ4−2ζ760000ζ29+ζ71+ζ101+ζ119−ζ29−ζ71−ζ101−ζ119ζ31+ζ61+ζ79+ζ109−ζ31−ζ61−ζ79−ζ109000000000000000000000000000000000
χ1038-804i2−4i202−2i32+2i30−2+2i3−2−2i30000−2ζ7−2ζ13−2ζ31−2ζ37−2ζ61−2ζ79−2ζ103−2ζ1092ζ7+2ζ13+2ζ31+2ζ37+2ζ61+2ζ79+2ζ103+2ζ109−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ77−2ζ101−2ζ1192ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ77+2ζ101+2ζ1190000000−2−252+250−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ10302ζ28+2ζ522ζ68+2ζ920−2ζ28−2ζ52−2ζ68−2ζ920000ζ7+ζ13+ζ37+ζ103−ζ7−ζ13−ζ37−ζ103ζ23+ζ47+ζ53+ζ77−ζ23−ζ47−ζ53−ζ770000000−2+252−250−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ11902ζ4+2ζ762ζ44+2ζ1160−2ζ4−2ζ76−2ζ44−2ζ1160000ζ31+ζ61+ζ79+ζ109−ζ31−ζ61−ζ79−ζ109ζ29+ζ71+ζ101+ζ119−ζ29−ζ71−ζ101−ζ119000000000000000000000000000000000
χ1041212-12000000004-40000000000000−3−35−3−353+3500000000−1−51+50000000000000−3+35−3+353−3500000000−1+51−5000000000000000000000000000000000000000

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