Finite Group Databasebeta

← Group #11999926

Character table — Group #11999926

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order1222224444551010101010102244101010101010101020202020202020202020202044441010202020202020202020202020202020202020448820202020202020204040404040404040888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-20000-2-200000000-2-2000000000000000000000000000022-2-200000000
χ10222222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-20000-2-200000000-2-20000000000000000000000000000-2-22200000000
χ112222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ122222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ132222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ142222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ152222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ162222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ172222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ182222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ19222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200002200000000-2-2000000000000000000000000000000002i2i−2i−2i0000
χ20222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000−2i−2i2i2i0000
χ21222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ22222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000
χ23222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ24222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ25222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2221−521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ26222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2221−521+521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ27222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ28222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ29222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2221+521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ30222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2221+521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ312222-2-222-2-2222222222-22-2-2-2-2-2222222-2-222-2-222220000-2-200000000-2-2000000002-2002-22-22-22-200000000000000000000
χ322222-2-222-2-2222222222-22-2-2-2-2-2222222-2-222-2-222220000-2-200000000-2-200000000-2200-22-22-22-2200000000000000000000
χ332222-2-222-2-222222222-22-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-200002200000000220000000000000000000000000000000000002-200
χ342222-2-222-2-222222222-22-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-20000220000000022000000000000000000000000000000000000-2200
χ352222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ362222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ372222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ382222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ392222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ402222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ412222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ422222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ432222-2-2-2-222222222222-2-22-2-2-2-22222-2-222-2-222-2-2-2-20000-2-20000000022000000000000000000000000000000000000002-2
χ442222-2-2-2-222222222222-2-22-2-2-2-22222-2-222-2-222-2-2-2-20000-2-2000000002200000000000000000000000000000000000000-22
χ452222-2-2-2-22222222222-222-2-2-2-2-2-2-2-2-2-2-222-2-222222200002200000000-2-200000000002-2000000002-2-222-2-22000000000000
χ462222-2-2-2-22222222222-222-2-2-2-2-2-2-2-2-2-2-222-2-222222200002200000000-2-20000000000-2200000000-222-2-222-2000000000000
χ472222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36002-2ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−1+521−521−52−1+52−1−521+521+52−1−52000000000000
χ482222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600-22−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−52−1+52−1+521−521+52−1−52−1−521+52000000000000
χ492222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36002-2−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−1+521−521−52−1+52−1−521+521+52−1−52000000000000
χ502222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−52−1+52−1+521−521+52−1−52−1−521+52000000000000
χ512222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002-2−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−1−521+521+52−1−52−1+521−521−52−1+52000000000000
χ522222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800-22ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+52−1−52−1−521+521−52−1+52−1+521−52000000000000
χ532222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002-2ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−1−521+521+52−1−52−1+521−521−52−1+52000000000000
χ542222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521+521−521−521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800-22−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+52−1−52−1−521+521−52−1+52−1+521−52000000000000
χ554444444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4-4-4−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51+51+500001−51+5000000001−51+50000000000000000000000000000000000000000
χ564444444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4-4-4−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−500001+51−5000000001+51−50000000000000000000000000000000000000000
χ57444444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−544-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51−51+51+50000−1+5−1−5000000001−51+50000000000000000000000000000000000000000
χ58444444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+544-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51−51−50000−1−5−1+5000000001+51−50000000000000000000000000000000000000000
χ594444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44-441−51−51+51+51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+50000−1+5−1−500000000−1+5−1−50000000000000000000000000000000000000000
χ604444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-441+51+51−51−51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−50000−1−5−1+500000000−1−5−1+50000000000000000000000000000000000000000
χ614444-4-4-4-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-4-441−51−51+51+5−1+5−1+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+500001−51+500000000−1+5−1−50000000000000000000000000000000000000000
χ624444-4-4-4-444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-4-441+51+51−51−5−1−5−1−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−500001+51−500000000−1−5−1+50000000000000000000000000000000000000000
χ6344-4-44-400004444-4-4-4-400004-44-40000000000000000000000000000000000000000000000000000000000000022−2200000000
χ6444-4-44-400004444-4-4-4-400004-44-400000000000000000000000000000000000000000000000000000000000000−222200000000
χ6544-4-4-4400004444-4-4-4-40000-44-4400000000000000000000000000000000000000000000000000000000000022−220000000000
χ6644-4-4-4400004444-4-4-4-40000-44-44000000000000000000000000000000000000000000000000000000000000−22220000000000
χ674-44-400004i−4i44-4-44-44-4000000000000004i−4i004i−4i0000000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ684-44-400004i−4i44-4-44-44-4000000000000004i−4i004i−4i00000000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ694-44-40000−4i4i44-4-44-44-400000000000000−4i4i00−4i4i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ704-44-40000−4i4i44-4-44-44-400000000000000−4i4i00−4i4i00000000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ714-4-44004-40044-4-4-44-440000000000004-4004-40000002i−2i2i−2i002i−2i2i−2i2i−2i2i−2i002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ724-4-44004-40044-4-4-44-440000000000004-4004-4000000−2i2i−2i2i00−2i2i−2i2i−2i2i−2i2i00−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ734-4-44004-400−1+5−1−51−51+51−5−1+51+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−500−1−51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362i−2i2i−2i00−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000000000000000000000000000
χ744-4-44004-400−1+5−1−51−51+51−5−1+51+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−500−1−51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2i2i−2i2i002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000000000000000000000000000
χ754-4-44004-400−1+5−1−51−51+51−5−1+51+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−500−1−51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362i−2i2i−2i00−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000000000000000000000000000
χ764-4-44004-400−1+5−1−51−51+51−5−1+51+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−500−1−51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2i2i−2i2i002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000000000000000000000000000
χ774-4-44004-400−1−5−1+51+51−51+5−1−51−5−1+500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+500−1+51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282i−2i2i−2i00−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000000000000000000000000000
χ784-4-44004-400−1−5−1+51+51−51+5−1−51−5−1+500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+500−1+51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2i2i−2i2i002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000000000000000000000000000
χ794-4-44004-400−1−5−1+51+51−51+5−1−51−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+500−1+51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282i−2i2i−2i00−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000000000000000000000000000
χ804-4-44004-400−1−5−1+51+51−51+5−1−51−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+500−1+51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2i2i−2i2i002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000000000000000000000000000
χ814-4-4400-440044-4-4-44-44000000000000-4400-440000002i−2i−2i2i002i−2i2i−2i2i−2i2i−2i00−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ824-4-4400-440044-4-4-44-44000000000000-4400-44000000−2i2i2i−2i00−2i2i−2i2i−2i2i−2i2i002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ834-4-4400-4400−1+5−1−51−51+51−5−1+51+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+5001+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362i−2i−2i2i00−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ6002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000000000000000000000000000
χ844-4-4400-4400−1+5−1−51−51+51−5−1+51+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+5001+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2i2i2i−2i002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000000000000000000000000000
χ854-4-4400-4400−1+5−1−51−51+51−5−1+51+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+5001+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362i−2i−2i2i00−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000000000000000000000000000
χ864-4-4400-4400−1+5−1−51−51+51−5−1+51+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+5001+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2i2i2i−2i002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000000000000000000000000000
χ874-4-4400-4400−1−5−1+51+51−51+5−1−51−5−1+500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−5001−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282i−2i−2i2i00−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000000000000000000000000000
χ884-4-4400-4400−1−5−1+51+51−51+5−1−51−5−1+500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−5001−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2i2i2i−2i002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000000000000000000000000000
χ894-4-4400-4400−1−5−1+51+51−51+5−1−51−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−5001−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282i−2i−2i2i00−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000000000000000000000000000
χ904-4-4400-4400−1−5−1+51+51−51+5−1−51−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−5001−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2i2i2i−2i002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000000000000000000000000000
χ9188-8-88-80000−2+25−2−25−2+25−2−252−252−252+252+250000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-88-80000−2−25−2+25−2−25−2+252+252+252−252−250000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-880000−2+25−2−25−2+25−2−252−252−252+252+2500002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-880000−2−25−2+25−2−25−2+252+252+252−252−2500002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800008i−8i−2+25−2−252−252+25−2+252−25−2−252+2500000000000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000
χ968-88-800008i−8i−2−25−2+252+252−25−2−252+25−2+252−2500000000000000−4ζ6−4ζ144ζ6+4ζ1400−4ζ22−4ζ384ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000
χ978-88-80000−8i8i−2+25−2−252−252+25−2+252−25−2−252+25000000000000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000
χ988-88-80000−8i8i−2−25−2+252+252−25−2−252+25−2+252−25000000000000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.