Finite Group Databasebeta

← Group #14514164

Character table — Group #14514164

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222444444444444556688888888888888888810101012121212121212161616161616161616161616161616162020202020202424242424243030323232323232323240404040404060606080808080
order124558810103344662020404040404424121215151515202020202424242430303030288228101020201212121260606060120120120120120120120120221212121210101010404024606060606060606066242424244486666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111111111111111111111-1-1-111111111111111111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-1111111111111111111-1-1-1-111111111111-1-111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1
χ411111111111-1-111111111-1-111111111-1-1-1-111111111-1-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
χ5111111111−1−i32−1+i3211−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32
χ6111111111−1−i32−1+i3211−1−i32−1+i32111111-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32111111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32-1-1-11+i321+i321−i321−i32
χ7111111111−1−i32−1+i32-1-1−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i321−i321−i32
χ8111111111−1−i32−1+i32-1-1−1−i32−1+i32111111-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111+i321+i321−i321−i32-1-1-1-111-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321+i321−i321−i3211-1−1−i32−1−i32−1+i32−1+i32
χ9111111111−1+i32−1−i3211−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32
χ10111111111−1+i32−1−i3211−1+i32−1−i32111111-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32111111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32-1-1-11−i321−i321+i321+i32
χ11111111111−1+i32−1−i32-1-1−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i321+i321+i32
χ12111111111−1+i32−1−i32-1-1−1+i32−1−i32111111-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−i321−i321+i321+i32-1-1-1-111-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321−i321+i321+i3211-1−1+i32−1+i32−1−i32−1−i32
χ1311111-1-111111-11111-1-1-1-1111111111111-1-1-1-1-1-111111-1-11-1-111111-11-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-111-1-111-1-1-1-11-1-11-11-1
χ1411111-1-111111-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1111-1-111111-11-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-111-11-11
χ1511111-1-11111-111111-1-1-1-11111111111-1-111-1-1-1-111111-1-1-11-11111-11-111111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11111-1-1-1-1-11-1-11-11
χ1611111-1-11111-111111-1-1-1-1-1-111111111-1-111-1-1-1-11111-111-11-11111-11-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111111-111-11-1
χ1711111-1-111−1−i32−1+i321-1−1−i32−1+i3211-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-11-1-11111−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321-1-1−1−i321+i32−1+i321−i32
χ1811111-1-111−1−i32−1+i321-1−1−i32−1+i3211-1-1-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1111-1-11111−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-111+i321+i321−i321−i3211-1-1-1-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1111+i32−1−i321−i32−1+i32
χ1911111-1-111−1−i32−1+i32-11−1−i32−1+i3211-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-11-111111+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11−1−i32−1−i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11+i32−1−i321−i32−1+i32
χ2011111-1-111−1−i32−1+i32-11−1−i32−1+i3211-1-1-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-11-111111+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-11+i321+i321−i321−i32-1-111-1-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321-11−1−i321+i32−1+i321−i32
χ2111111-1-111−1+i32−1−i321-1−1+i32−1−i3211-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-11-1-11111−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321-1-1−1+i321−i32−1−i321+i32
χ2211111-1-111−1+i32−1−i321-1−1+i32−1−i3211-1-1-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1111-1-11111−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-111−i321−i321+i321+i3211-1-1-1-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1111−i32−1+i321+i32−1−i32
χ2311111-1-111−1+i32−1−i32-11−1+i32−1−i3211-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-11-111111−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11−1+i32−1+i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11−i32−1+i321+i32−1−i32
χ2411111-1-111−1+i32−1−i32-11−1+i32−1−i3211-1-1-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-11-111111−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-11−i321−i321+i321+i32-1-111-1-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321-11−1+i321−i32−1−i321+i32
χ25222−1−52−1+5222−1−52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52000222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000
χ26222−1−52−1+5222−1−52−1+5222-2-222−1−52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+52−1−52−1+521+521−521+521−522222−1−52−1+52−1−52−1+52000-2-22−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52−1−52−1+52001+521−521+521−521+521−521+521−520000000000000
χ27222−1−52−1+5222−1−52−1+52−1−i3−1+i322−1−i3−1+i3−1−52−1+52−1−52−1−52−1+52−1+520022−1−i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−1−52−1+52−1−52−1+52−1−i3−1−i3−1+i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76000222−1−52−1+52−1−52−1+52−1−i3−1−i3−1+i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76000000−1−52−1+52−1−52−1+52−1−52−1+5200−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ760000000000000
χ28222−1−52−1+5222−1−52−1+52−1−i3−1+i3-2-2−1−i3−1+i3−1−52−1+52−1−52−1−52−1+52−1+520022−1−i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ761+521−521+521−52−1−i3−1−i3−1+i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76000-2-22−1−52−1+52−1−52−1+521+i31+i31−i31−i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ760000001+521−521+521−52−1−52−1+5200ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ760000000000000
χ29222−1−52−1+5222−1−52−1+52−1+i3−1−i322−1+i3−1−i3−1−52−1+52−1−52−1−52−1+52−1+520022−1+i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−1−52−1+52−1−52−1+52−1+i3−1+i3−1−i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116000222−1−52−1+52−1−52−1+52−1+i3−1+i3−1−i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ116000000−1−52−1+52−1−52−1+52−1−52−1+5200−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ44−ζ1160000000000000
χ30222−1−52−1+5222−1−52−1+52−1+i3−1−i3-2-2−1+i3−1−i3−1−52−1+52−1−52−1−52−1+52−1+520022−1+i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ1161+521−521+521−52−1+i3−1+i3−1−i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116000-2-22−1−52−1+52−1−52−1+521−i31−i31+i31+i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ28−ζ52−ζ4−ζ76−ζ4−ζ76−ζ68−ζ92−ζ68−ζ92−ζ44−ζ116−ζ44−ζ1160000001+521−521+521−52−1−52−1+5200ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ44+ζ1160000000000000
χ31222−1−52−1+52-2-2−1−52−1+52222-222−1−52−1+521+521+521−521−52002222−1−52−1+52−1−52−1+52−1−52−1+521+521−52-2-2-2-2−1−52−1+52−1−52−1+520002-2-2−1−52−1+52−1−52−1+522-22-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000−1−52−1+521+521−521+521−5200−1−52−1+521+521−52−1−52−1+521+521−520000000000000
χ32222−1−52−1+52-2-2−1−52−1+5222-2222−1−52−1+521+521+521−521−52002222−1−52−1+52−1−52−1+521+521−52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52000-22-2−1−52−1+52−1−52−1+52-22-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000001+521−52−1−52−1+521+521−52001+521−52−1−52−1+521+521−52−1−52−1+520000000000000
χ33222−1−52−1+52-2-2−1−52−1+52−1−i3−1+i32-2−1−i3−1+i3−1−52−1+521+521+521−521−520022−1−i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76−1−52−1+521+521−521+i31+i31−i31−i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ760002-2-2−1−52−1+52−1−52−1+52−1−i31+i3−1+i31−i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76000000−1−52−1+521+521−521+521−5200−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ116−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ760000000000000
χ34222−1−52−1+52-2-2−1−52−1+52−1−i3−1+i3-22−1−i3−1+i3−1−52−1+521+521+521−521−520022−1−i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ761+521−52−1−52−1+521+i31+i31−i31−i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76000-22-2−1−52−1+52−1−52−1+521+i3−1−i31−i3−1+i3−ζ68−ζ92−ζ44−ζ116−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ760000001+521−52−1−52−1+521+521−5200ζ68+ζ92ζ44+ζ116−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ4+ζ76−ζ28−ζ52−ζ4−ζ760000000000000
χ35222−1−52−1+52-2-2−1−52−1+52−1+i3−1−i32-2−1+i3−1−i3−1−52−1+521+521+521−521−520022−1+i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116−1−52−1+521+521−521−i31−i31+i31+i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ1160002-2-2−1−52−1+52−1−52−1+52−1+i31−i3−1−i31+i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ116000000−1−52−1+521+521−521+521−5200−ζ28−ζ52−ζ4−ζ76ζ28+ζ52ζ4+ζ76−ζ68−ζ92−ζ44−ζ116ζ68+ζ92ζ44+ζ1160000000000000
χ36222−1−52−1+52-2-2−1−52−1+52−1+i3−1−i3-22−1+i3−1−i3−1−52−1+521+521+521−521−520022−1+i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ1161+521−52−1−52−1+521−i31−i31+i31+i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116000-22-2−1−52−1+52−1−52−1+521−i3−1+i31+i3−1−i3−ζ28−ζ52−ζ4−ζ76−ζ68−ζ92−ζ44−ζ116ζ28+ζ52ζ28+ζ52ζ4+ζ76ζ4+ζ76ζ68+ζ92ζ68+ζ92ζ44+ζ116ζ44+ζ1160000001+521−52−1−52−1+521+521−5200ζ28+ζ52ζ4+ζ76−ζ28−ζ52−ζ4−ζ76ζ68+ζ92ζ44+ζ116−ζ68−ζ92−ζ44−ζ1160000000000000
χ37222−1+52−1−5222−1+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52000222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000
χ38222−1+52−1−5222−1+52−1−5222-2-222−1+52−1−52−1+52−1+52−1−52−1−52002222−1+52−1−52−1+52−1−521−521+521−521+522222−1+52−1−52−1+52−1−52000-2-22−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52−1+52−1−52001−521+521−521+521−521+521−521+520000000000000
χ39222−1+52−1−5222−1+52−1−52−1−i3−1+i322−1−i3−1+i3−1+52−1−52−1+52−1+52−1−52−1−520022−1−i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−1+52−1−52−1+52−1−52−1−i3−1−i3−1+i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52000222−1+52−1−52−1+52−1−52−1−i3−1−i3−1+i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52000000−1+52−1−52−1+52−1−52−1+52−1−5200−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ520000000000000
χ40222−1+52−1−5222−1+52−1−52−1−i3−1+i3-2-2−1−i3−1+i3−1+52−1−52−1+52−1+52−1−52−1−520022−1−i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ521−521+521−521+52−1−i3−1−i3−1+i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52000-2-22−1+52−1−52−1+52−1−521+i31+i31−i31−i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ520000001−521+521−521+52−1+52−1−5200ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ92ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ520000000000000
χ41222−1+52−1−5222−1+52−1−52−1+i3−1−i322−1+i3−1−i3−1+52−1−52−1+52−1+52−1−52−1−520022−1+i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−1+52−1−52−1+52−1−52−1+i3−1+i3−1−i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92000222−1+52−1−52−1+52−1−52−1+i3−1+i3−1−i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ92000000−1+52−1−52−1+52−1−52−1+52−1−5200−ζ4−ζ76−ζ28−ζ52−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ44−ζ116−ζ68−ζ920000000000000
χ42222−1+52−1−5222−1+52−1−52−1+i3−1−i3-2-2−1+i3−1−i3−1+52−1−52−1+52−1+52−1−52−1−520022−1+i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ921−521+521−521+52−1+i3−1+i3−1−i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92000-2-22−1+52−1−52−1+52−1−521−i31−i31+i31+i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ4−ζ76−ζ28−ζ52−ζ28−ζ52−ζ44−ζ116−ζ44−ζ116−ζ68−ζ92−ζ68−ζ920000001−521+521−521+52−1+52−1−5200ζ4+ζ76ζ28+ζ52ζ4+ζ76ζ28+ζ52ζ44+ζ116ζ68+ζ92ζ44+ζ116ζ68+ζ920000000000000
χ43222−1+52−1−52-2-2−1+52−1−52222-222−1+52−1−521−521−521+521+52002222−1+52−1−52−1+52−1−52−1+52−1−521−521+52-2-2-2-2−1+52−1−52−1+52−1−520002-2-2−1+52−1−52−1+52−1−522-22-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000−1+52−1−521−521+521−521+5200−1+52−1−521−521+52−1+52−1−521−521+520000000000000
χ44222−1+52−1−52-2-2−1+52−1−5222-2222−1+52−1−521−521−521+521+52002222−1+52−1−52−1+52−1−521−521+52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52000-22-2−1+52−1−52−1+52−1−52-22-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000001−521+52−1+52−1−521−521+52001−521+52−1+52−1−521−521+52−1+52−1−520000000000000
χ45222−1+52−1−52-2-2−1+52−1−52−1−i3−1+i32-2−1−i3−1+i3−1+52−1−521−521−521+521+520022−1−i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52−1+52−1−521−521+521+i31+i31−i31−i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ520002-2-2−1+52−1−52−1+52−1−52−1−i31+i3−1+i31−i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52000000−1+52−1−521−521+521−521+5200−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ92−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ520000000000000
χ46222−1+52−1−52-2-2−1+52−1−52−1−i3−1+i3-22−1−i3−1+i3−1+52−1−521−521−521+521+520022−1−i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ521−521+52−1+52−1−521+i31+i31−i31−i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52000-22-2−1+52−1−52−1+52−1−521+i3−1−i31−i3−1+i3−ζ44−ζ116−ζ68−ζ92−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ520000001−521+52−1+52−1−521−521+5200ζ44+ζ116ζ68+ζ92−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ28+ζ52−ζ4−ζ76−ζ28−ζ520000000000000
χ47222−1+52−1−52-2-2−1+52−1−52−1+i3−1−i32-2−1+i3−1−i3−1+52−1−521−521−521+521+520022−1+i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92−1+52−1−521−521+521−i31−i31+i31+i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ920002-2-2−1+52−1−52−1+52−1−52−1+i31−i3−1−i31+i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ92000000−1+52−1−521−521+521−521+5200−ζ4−ζ76−ζ28−ζ52ζ4+ζ76ζ28+ζ52−ζ44−ζ116−ζ68−ζ92ζ44+ζ116ζ68+ζ920000000000000
χ48222−1+52−1−52-2-2−1+52−1−52−1+i3−1−i3-22−1+i3−1−i3−1+52−1−521−521−521+521+520022−1+i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ921−521+52−1+52−1−521−i31−i31+i31+i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92000-22-2−1+52−1−52−1+52−1−521−i3−1+i31+i3−1−i3−ζ4−ζ76−ζ28−ζ52−ζ44−ζ116−ζ68−ζ92ζ4+ζ76ζ4+ζ76ζ28+ζ52ζ28+ζ52ζ44+ζ116ζ44+ζ116ζ68+ζ92ζ68+ζ920000001−521+52−1+52−1−521−521+5200ζ4+ζ76ζ28+ζ52−ζ4−ζ76−ζ28−ζ52ζ44+ζ116ζ68+ζ92−ζ44−ζ116−ζ68−ζ920000000000000
χ4922-2220022220022-2-2000022-22-2-22222000000002222-200000-2-2220000-2-2-2-2000000000022220000002-200000000-2-200000000000
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χ5933333-3-333003-30033-3-3-3-333-1-100000033-3-3000000003-3-3-111-1-1-1-100000000000000003-30000-1-11111-1-100000000000000-1110000
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χ6233333-3-33300-330033-3-3-3-3-3-3-1-1000000-3-33300000000-3331-11-1-1-1-100000000000000003-3000011-1-1111100000000000000-11-10000
χ6344-4−1−5−1+500−1−5−1+54400441+51−5000000-44-4-4−1−5−1+5−1−5−1+500000000−1−5−1+5−1−5−1+50000001+51−5−1−5−1+500001+51−51+51−50000000000000000000000000000000000000000000
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χ6644-4−1+5−1−500−1+5−1−54400441−51+5000000-44-4-4−1+5−1−5−1+5−1−500000000−1+5−1−5−1+5−1−50000001−51+5−1+5−1−500001−51+51−51+50000000000000000000000000000000000000000000
χ6744-4−1+5−1−500−1+5−1−5−2−2i3−2+2i300−2−2i3−2+2i31−51+5000000-442+2i32−2i3−2ζ44−2ζ116−2ζ68−2ζ92−2ζ4−2ζ76−2ζ28−2ζ5200000000−2ζ44−2ζ116−2ζ68−2ζ92−2ζ4−2ζ76−2ζ28−2ζ520000001−51+5−1+5−1−500002ζ44+2ζ1162ζ68+2ζ922ζ4+2ζ762ζ28+2ζ520000000000000000000000000000000000000000000
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χ988-80−2+25−2−2542−422−252+252+2i32−2i300−2−2i3−2+2i3002ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ119−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ1030000002ζ44+2ζ1162ζ68+2ζ922ζ4+2ζ762ζ28+2ζ520000−2ζ23+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+2ζ103−2ζ109−2ζ44−2ζ116−2ζ68−2ζ92−2ζ4−2ζ76−2ζ28−2ζ52000000000000000000−ζ29+ζ71−ζ101+ζ119ζ29−ζ71+ζ101−ζ119ζ23+ζ47−ζ53−ζ77−ζ23−ζ47+ζ53+ζ77ζ31−ζ61+ζ79−ζ109−ζ31+ζ61−ζ79+ζ109ζ7−ζ13−ζ37+ζ103−ζ7+ζ13+ζ37−ζ10300000000000000000000000000000000000
χ998-80−2+25−2−2542−422−252+252−2i32+2i300−2+2i3−2−2i3002ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ119−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ1030000002ζ4+2ζ762ζ28+2ζ522ζ44+2ζ1162ζ68+2ζ920000−2ζ7+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+2ζ119−2ζ4−2ζ76−2ζ28−2ζ52−2ζ44−2ζ116−2ζ68−2ζ92000000000000000000ζ31−ζ61+ζ79−ζ109−ζ31+ζ61−ζ79+ζ109ζ7−ζ13−ζ37+ζ103−ζ7+ζ13+ζ37−ζ103−ζ29+ζ71−ζ101+ζ119ζ29−ζ71+ζ101−ζ119ζ23+ζ47−ζ53−ζ77−ζ23−ζ47+ζ53+ζ7700000000000000000000000000000000000
χ1008-80−2+25−2−25−42422−252+25-4-4004400−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1192ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1030000001−51+51−51+50000−2222−2222−1+5−1−5−1+5−1−5000000000000000000−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−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000000000000000000000000
χ1018-80−2+25−2−25−42422−252+252+2i32−2i300−2−2i3−2+2i300−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1192ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1030000002ζ44+2ζ1162ζ68+2ζ922ζ4+2ζ762ζ28+2ζ5200002ζ23−2ζ29+2ζ47−2ζ53+2ζ71−2ζ77−2ζ101+2ζ119−2ζ23+2ζ29−2ζ47+2ζ53−2ζ71+2ζ77+2ζ101−2ζ1192ζ7−2ζ13+2ζ31−2ζ37−2ζ61+2ζ79+2ζ103−2ζ109−2ζ7+2ζ13−2ζ31+2ζ37+2ζ61−2ζ79−2ζ103+2ζ109−2ζ44−2ζ116−2ζ68−2ζ92−2ζ4−2ζ76−2ζ28−2ζ52000000000000000000ζ29−ζ71+ζ101−ζ119−ζ29+ζ71−ζ101+ζ119−ζ23−ζ47+ζ53+ζ77ζ23+ζ47−ζ53−ζ77−ζ31+ζ61−ζ79+ζ109ζ31−ζ61+ζ79−ζ109−ζ7+ζ13+ζ37−ζ103ζ7−ζ13−ζ37+ζ10300000000000000000000000000000000000
χ1028-80−2+25−2−25−42422−252+252−2i32+2i300−2+2i3−2−2i300−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ1192ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1030000002ζ4+2ζ762ζ28+2ζ522ζ44+2ζ1162ζ68+2ζ9200002ζ7−2ζ13+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+2ζ101−2ζ119−2ζ4−2ζ76−2ζ28−2ζ52−2ζ44−2ζ116−2ζ68−2ζ92000000000000000000−ζ31+ζ61−ζ79+ζ109ζ31−ζ61+ζ79−ζ109−ζ7+ζ13+ζ37−ζ103ζ7−ζ13−ζ37+ζ103ζ29−ζ71+ζ101−ζ119−ζ29+ζ71−ζ101+ζ119−ζ23−ζ47+ζ53+ζ77ζ23+ζ47−ζ53−ζ7700000000000000000000000000000000000
χ1031212-12−3−35−3+3500−3−35−3+350000003+353−350000004-4000000000000000000000000−1−5−1+51+51−5000000000000000000000000000000000000000000000000000
χ1041212-12−3+35−3−3500−3+35−3−350000003−353+350000004-4000000000000000000000000−1+5−1−51−51+5000000000000000000000000000000000000000000000000000

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