Finite Group Databasebeta

← Group #12012432

Character table — Group #12012432

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244888888888888888888888888888888888888888888888816161616161616161616161616168080808080808080
order1222225510101010101010101010101010102222444444441010101010101010101010102020202020202020202020202020202020202020202020204420202020202020202020202044448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-11111-1-111-1-1
χ6111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-11111-1-1
χ9222222222222222222222222220000-2-2-2-222222222222200000000-2-2-2-2-2-2-2-20000000000-2-200000000-2-200000000
χ10222222222222222222222222-2-2000022-2-22222-2-2-2-2-2-2-2-200000000222222220000000000-2-200000000-2-200000000
χ112222222222222222222222-2-200002200-22-2-2-2-200000000222222220000000000000000-20-2-20000-2-2-2-22200000000
χ122222222222222222222222-2-20000-2-200-22-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000020-2-2000022222200000000
χ132222222222222222222222-2-2002200002-2-2-2-2-2000000000000000000000000222222220-222-2-2-2-20000-2-200000000
χ142222222222222222222222-2-200-2-200002-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2022222220000-2-200000000
χ15222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222220000-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200000000
χ16222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222220000-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200000000
χ17222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200000000
χ18222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−522222-2-2-2-22222−1+52−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−5200000000
χ19222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2000022-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200000000
χ20222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2000022-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200000000
χ21222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-222-2-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−5200000000
χ22222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-2-222-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+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+522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5200000000
χ23222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-200002200-221−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−1+52−1−5200000000
χ24222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-200002200-221−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52−1+52−1−5200000000
χ25222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-20000-2-200-221−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−1+52−1−5200000000
χ26222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-20000-2-200-221−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−1+52−1−5200000000
χ27222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2002200002-21−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2−1+52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200000000
χ28222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2002200002-21−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-2−1+52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200000000
χ29222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-200-2-200002-21−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+5202−1+52−1−52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200000000
χ30222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-200-2-200002-21−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+5202−1+52−1−52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200000000
χ31222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222220000-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200000000
χ32222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222220000-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200000000
χ33222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200000000
χ34222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+522222-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+5200000000
χ35222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2000022-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200000000
χ36222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2000022-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200000000
χ37222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-222-2-2-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+5200000000
χ38222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-2-222-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+5200000000
χ39222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-200002200-221+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52−1−52−1+5200000000
χ40222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-200002200-221+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−1−52−1+5200000000
χ41222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-20000-2-200-221+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−1−52−1+5200000000
χ42222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-20000-2-200-221+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−1−52−1+5200000000
χ43222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2002200002-21+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2−1−52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200000000
χ44222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2002200002-21+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-2−1−52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200000000
χ45222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-200-2-200002-21+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−5202−1−52−1+52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200000000
χ46222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-200-2-200002-21+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−5202−1−52−1+52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200000000
χ4722-2-22-22222-222-22-2-22-2-2-2-2-220000002i−2i002-22-200000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002−2i2−i2
χ4822-2-22-22222-222-22-2-22-2-2-2-2-220000002i−2i002-22-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000−22−i2i2
χ4922-2-22-22222-222-22-2-22-2-2-2-2-22000000−2i2i002-22-20000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000002−2−i2i2
χ5022-2-22-22222-222-22-2-22-2-2-2-2-22000000−2i2i002-22-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−22i2−i2
χ514444-4-444-4-44-4-444-4-44-4-444000000000000000000000000000000000000000000000000000000000000002-2000000
χ524444-4-444-4-44-4-444-4-44-4-44400000000000000000000000000000000000000000000000000000000000000-22000000
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χ5444-4-44-4−1+5−1−5−1+5−1+51−5−1−5−1−51+5−1+51−51−5−1−51+51+51−51+54-400000000001−5−1+51+5−1−50000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000
χ5544-4-44-4−1+5−1−5−1+5−1+51−5−1−5−1−51+5−1+51−51−5−1−51+51+51−51+54-400000000001−5−1+51+5−1−500000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000
χ5644-4-44-4−1+5−1−5−1+5−1+51−5−1−5−1−51+5−1+51−51−5−1−51+51+51−51+5-440000004i−4i00−1+51−5−1−51+50000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000
χ5744-4-44-4−1+5−1−5−1+5−1+51−5−1−5−1−51+5−1+51−51−5−1−51+51+51−51+5-44000000−4i4i00−1+51−5−1−51+500000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000
χ5844-4-44-4−1−5−1+5−1−5−1−51+5−1+5−1+51−5−1−51+51+5−1+51−51−51+51−54-400000000001+5−1−51−5−1+500000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000
χ5944-4-44-4−1−5−1+5−1−5−1−51+5−1+5−1+51−5−1−51+51+5−1+51−51−51+51−54-400000000001+5−1−51−5−1+50000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000
χ6044-4-44-4−1−5−1+5−1−5−1−51+5−1+5−1+51−5−1−51+51+5−1+51−51−51+51−5-440000004i−4i00−1−51+5−1+51−50000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000
χ6144-4-44-4−1−5−1+5−1−5−1−51+5−1+5−1+51−5−1−51+51+5−1+51−51−51+51−5-44000000−4i4i00−1−51+5−1+51−500000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000
χ6244-4-4-4444-4-4-4-4-4-4444444-4-400000000000000000000000000000000000000000000000000000000000000002i−2i0000
χ6344-4-4-4444-4-4-4-4-4-4444444-4-40000000000000000000000000000000000000000000000000000000000000000−2i2i0000
χ644-44-40044004004-400-400-4-4002-22i−2i2i−2i000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ654-44-40044004004-400-400-4-4002-2−2i2i−2i2i000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ664-44-40044004004-400-400-4-400-222i−2i−2i2i00000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ674-44-40044004004-400-400-4-400-22−2i2i2i−2i00000000-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ684-44-400−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−51+5002-22i−2i2i−2i00000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ36−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ60000000000000000000000
χ694-44-400−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−51+5002-2−2i2i−2i2i00000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ362ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6000000002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ60000000000000000000000
χ704-44-400−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−51+500-222i−2i−2i2i000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ362ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ60000000000000000000000
χ714-44-400−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−1+5−2ζ4+2ζ362ζ4−2ζ36−1−51−52ζ12−2ζ28−2ζ12+2ζ281+5−2ζ4+2ζ362ζ4−2ζ361−51+500-22−2i2i2i−2i000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ36−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ6000000002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ60000000000000000000000
χ724-44-400−1+5−1−5−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−51+5002-22i−2i2i−2i00000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ4−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ140000000000000000000000
χ734-44-400−1+5−1−5−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−51+5002-2−2i2i−2i2i00000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ42ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14000000002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ140000000000000000000000
χ744-44-400−1+5−1−5−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−51+500-222i−2i−2i2i000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ42ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ140000000000000000000000
χ754-44-400−1+5−1−5−2ζ12+2ζ282ζ12−2ζ28−1+52ζ4−2ζ36−2ζ4+2ζ36−1−51−5−2ζ12+2ζ282ζ12−2ζ281+52ζ4−2ζ36−2ζ4+2ζ361−51+500-22−2i2i2i−2i000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ4−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14000000002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ140000000000000000000000
χ764-44-400−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ281+51−5002-22i−2i2i−2i00000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ28−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ380000000000000000000000
χ774-44-400−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ281+51−5002-2−2i2i−2i2i00000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ282ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38000000002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ380000000000000000000000
χ784-44-400−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ281+51−500-222i−2i−2i2i000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ282ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ380000000000000000000000
χ794-44-400−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−1−5−2ζ12+2ζ282ζ12−2ζ28−1+51+5−2ζ4+2ζ362ζ4−2ζ361−5−2ζ12+2ζ282ζ12−2ζ281+51−500-22−2i2i2i−2i000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ28−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38000000002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ380000000000000000000000
χ804-44-400−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ281+51−5002-22i−2i2i−2i00000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ12−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ220000000000000000000000
χ814-44-400−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ281+51−5002-2−2i2i−2i2i00000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ122ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22000000002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ220000000000000000000000
χ824-44-400−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ281+51−500-222i−2i−2i2i000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ122ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ220000000000000000000000
χ834-44-400−1−5−1+52ζ4−2ζ36−2ζ4+2ζ36−1−52ζ12−2ζ28−2ζ12+2ζ28−1+51+52ζ4−2ζ36−2ζ4+2ζ361−52ζ12−2ζ28−2ζ12+2ζ281+51−500-22−2i2i2i−2i000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ12−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22000000002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ220000000000000000000000
χ848888-8-8−2+25−2−252−252−25−2+252+252+25−2−25−2+252−252−25−2−252+252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000
χ858888-8-8−2−25−2+252+252+25−2−252−252−25−2+25−2−252+252+25−2+252−252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-88−2+25−2−252−252−252−252+252+252+25−2+25−2+25−2+25−2−25−2−25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-88−2−25−2+252+252+252+252−252−252−25−2−25−2−25−2−25−2+25−2+25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88008800-800-8-800-800880000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800−2+25−2−254ζ12−4ζ28−4ζ12+4ζ282−25−4ζ4+4ζ364ζ4−4ζ362+252−25−4ζ12+4ζ284ζ12−4ζ282+254ζ4−4ζ36−4ζ4+4ζ36−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000
χ908-8-8800−2+25−2−25−4ζ12+4ζ284ζ12−4ζ282−254ζ4−4ζ36−4ζ4+4ζ362+252−254ζ12−4ζ28−4ζ12+4ζ282+25−4ζ4+4ζ364ζ4−4ζ36−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-8800−2−25−2+25−4ζ4+4ζ364ζ4−4ζ362+25−4ζ12+4ζ284ζ12−4ζ282−252+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ28−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800−2−25−2+254ζ4−4ζ36−4ζ4+4ζ362+254ζ12−4ζ28−4ζ12+4ζ282−252+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ28−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000

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