Finite Group Databasebeta

← Group #12018706

Character table — Group #12018706

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1122222222222222222444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order122224444558810101010101088810101010202020202020202040404040404040404488202020202020202040404040404040404040404024441010101020202020202020202020202016161616161616168888
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
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ922222222222-2-2222222-2-2-2222222222222-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1022222222222-2-2222222-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ11222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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
χ12222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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
χ13222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1+52−1+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
χ14222222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1+52−1+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
χ15222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+521−521−521−521−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ16222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+521−521−521−521−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ17222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ18222222222−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ19222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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
χ20222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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
χ21222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1+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
χ22222222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−52−1−52−1−52−1+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
χ23222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ24222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ25222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+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+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ26222222222−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+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+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ2722222-2-2-2-222002222220002222-2-2-2-2-2-2-2-2000000002-20022-2-222-2-200000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000
χ2822222-2-2-2-222002222220002222-2-2-2-2-2-2-2-2000000002-20022-2-222-2-200000000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000
χ2922222-2-2-2-222002222220002222-2-2-2-2-2-2-2-200000000-2200-2-222-2-22200000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000
χ3022222-2-2-2-222002222220002222-2-2-2-2-2-2-2-200000000-2200-2-222-2-22200000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000
χ31222-2-222-2-22222-2-2-2-2222-2-22-22-22-22-22-22-222-2-222-2-20000000000002-22-2000000000000000000000000000000002i−2i2i−2i0000
χ32222-2-222-2-22222-2-2-2-2222-2-22-22-22-22-22-22-222-2-222-2-20000000000002-22-200000000000000000000000000000000−2i2i−2i2i0000
χ33222-2-222-2-222-2-2-2-2-2-222-2222-22-22-22-22-22-2-2-222-2-222000000000000-22-2200000000000000000000000000002i−2i2i−2i00000000
χ34222-2-222-2-222-2-2-2-2-2-222-2222-22-22-22-22-22-2-2-222-2-222000000000000-22-220000000000000000000000000000−2i2i−2i2i00000000
χ35222-2-2-2-2222200-2-2-2-2220002-22-2-22-22-22-2200000000002-200000000000022-2-222-2-2000000000000000000002−2−222−2−220000
χ36222-2-2-2-2222200-2-2-2-2220002-22-2-22-22-22-2200000000002-200000000000022-2-222-2-200000000000000000000−222−2−222−20000
χ37222-2-2-2-2222200-2-2-2-2220002-22-2-22-22-22-220000000000-22000000000000-2-222-2-222000000000000000000002−2−22−222−20000
χ38222-2-2-2-2222200-2-2-2-2220002-22-2-22-22-22-220000000000-22000000000000-2-222-2-22200000000000000000000−222−22−2−220000
χ3922-22-2-222-22222-2-2-2-222-2-22-22-22-22-222-22-222-2-222-2-2000000000000-22-220000000000000000000000000000000000002-200
χ4022-22-2-222-22222-2-2-2-222-2-22-22-22-22-222-22-222-2-222-2-2000000000000-22-22000000000000000000000000000000000000-2200
χ4122-22-2-222-222-2-2-2-2-2-22222-2-22-22-22-222-22-2-2-222-2-2220000000000002-22-2000000000000000000000000000000000000002i−2i
χ4222-22-2-222-222-2-2-2-2-2-22222-2-22-22-22-222-22-2-2-222-2-2220000000000002-22-200000000000000000000000000000000000000−2i2i
χ4322-2-22-22-222222222222-22-2-2-2-2-2-2-2-2-2222222222222000000000000-2-2-2-2000000002-2002222-2-2-2-200000000000000000000
χ4422-2-22-22-222222222222-22-2-2-2-2-2-2-2-2-2222222222222000000000000-2-2-2-200000000-2200-2-2-2-2222200000000000000000000
χ4522-2-22-22-2222-2-22222222-22-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000222200000000002-2000000002-22-22-22-2000000000000
χ4622-2-22-22-2222-2-22222222-22-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000022220000000000-2200000000-22-22-22-22000000000000
χ4722-2-22-22-22−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ4822-2-22-22-22−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ4922-2-22-22-22−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ5022-2-22-22-22−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ5122-2-22-22-22−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36002-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
χ5222-2-22-22-22−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
χ5322-2-22-22-22−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36002-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−52−1+521−52−1−521+52−1−521+52000000000000
χ5422-2-22-22-22−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−52000000000000
χ5522-2-22-22-22−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-22-21+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+52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ5622-2-22-22-22−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-22-21+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+52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ5722-2-22-22-22−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-22-21+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+52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ5822-2-22-22-22−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-22-21+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+52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ5922-2-22-22-22−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28002-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
χ6022-2-22-22-22−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ6122-2-22-22-22−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28002-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−52000000000000
χ6222-2-22-22-22−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−521+52−1−521−52−1+521−52−1+52000000000000
χ6344444-4-4-4-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−5000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5000000004-400−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000
χ6444444-4-4-4-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−5000−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500000000-44001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000
χ6544444-4-4-4-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+5000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5000000004-400−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000
χ6644444-4-4-4-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+5000−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500000000-44001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000
χ67444-4-444-4-4−1+5−1−5441−51−51+51+5−1+5−1−54-4-4−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+5000000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ68444-4-444-4-4−1+5−1−5-4-41−51−51+51+5−1+5−1−5-444−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ69444-4-444-4-4−1−5−1+5441+51+51−51−5−1−5−1+54-4-4−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−5000000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ70444-4-444-4-4−1−5−1+5-4-41+51+51−51−5−1−5−1+5-444−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ71444-4-4-4-444−1+5−1−5001−51−51+51+5−1+5−1−5000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−500000000004-4000000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000
χ72444-4-4-4-444−1+5−1−5001−51−51+51+5−1+5−1−5000−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−50000000000-440000000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000
χ73444-4-4-4-444−1−5−1+5001+51+51−51−5−1−5−1+5000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+500000000004-4000000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000
χ74444-4-4-4-444−1−5−1+5001+51+51−51−5−1−5−1+5000−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+50000000000-440000000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000
χ7544-44-44-4-444400-4-4-4-444000-44-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ7644-44-44-4-44−1+5−1−5001−51−51+51+5−1+5−1−50001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ7744-44-44-4-44−1+5−1−5001−51−51+51+5−1+5−1−50001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000
χ7844-44-44-4-44−1−5−1+5001+51+51−51−5−1−5−1+50001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000
χ7944-44-44-4-44−1−5−1+5001+51+51−51−5−1−5−1+50001+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000
χ8044-44-4-444-4−1+5−1−5441−51−51+51+5−1+5−1−5-4-441−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+50000000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ8144-44-4-444-4−1+5−1−5-4-41−51−51+51+5−1+5−1−544-41−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−51−5−1+5−1+51+51+5−1−5−1−5000000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ8244-44-4-444-4−1−5−1+5441+51+51−51−5−1−5−1+5-4-441+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−50000000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ8344-44-4-444-4−1−5−1+5-4-41+51+51−51−5−1−5−1+544-41+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+51+5−1−5−1−51−51−5−1+5−1+5000000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ8444-4-444-44-44400444444000-4-4-4-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ8544-4-444-44-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−50001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ8644-4-444-44-4−1+5−1−500−1+5−1+5−1−5−1−5−1+5−1−50001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ8744-4-444-44-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+50001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ8844-4-444-44-4−1−5−1+500−1−5−1−5−1+5−1+5−1−5−1+50001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ898-800000008842−420000-8-800000000000000042−420042−420000000000000000000000000000000000000000000000000000000000
χ908-8000000088−42420000-8-8000000000000000−424200−42420000000000000000000000000000000000000000000000000000000000
χ918-80000000−2+25−2−2542−424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000
χ928-80000000−2+25−2−2542−42−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25000000000000000−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000
χ938-80000000−2+25−2−25−42424ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+250000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000
χ948-80000000−2+25−2−25−4242−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+250000000000000002ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000
χ958-80000000−2−25−2+2542−42−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−250000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000
χ968-80000000−2−25−2+2542−424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−250000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000
χ978-80000000−2−25−2+25−4242−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000
χ988-80000000−2−25−2+25−42424ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000

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