Finite Group Databasebeta

← Group #12000035

Character table — Group #12000035

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size111122222222222222224444444444444444444444488888888888888888888888816161616161616161616161616161616161616164040404040404040404040408080
order1222224444445510101010101044410101010202020202020202020202020202020204444202020202020202020202020202020202020202024881010101020202020404040404040404022448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ9222222222222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5200000000000000
χ10222222222222−1+52−1−52−1+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+5200000000000000
χ11222222222222−1+52−1−52−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+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+5200000000000000
χ12222222222222−1+52−1−52−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+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+52−1−52−1−52−1−52−1−5200000000000000
χ13222222222222−1−52−1+52−1−52−1+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+5200000000000000
χ14222222222222−1−52−1+52−1−52−1+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+521−521−521−521−5200000000000000
χ15222222222222−1−52−1+52−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+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+521−521−521−521−5200000000000000
χ16222222222222−1−52−1+52−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+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+5200000000000000
χ172222222222-2-222222222-2-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ182222222222-2-222222222-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ192222222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+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+52−1−5222-2-21−521−521+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+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000000
χ202222222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+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+52−1−5222-2-21−521−521+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+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000000
χ212222222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+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+52−1−52-2-2221−521−521+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+ζ3600000000000000
χ222222222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+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+52−1−52-2-2221−521−521+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−ζ3600000000000000
χ232222222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+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+5222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000000
χ242222222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+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+5222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000000
χ252222222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+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+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+ζ2800000000000000
χ262222222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+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+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−ζ2800000000000000
χ27222222-2-2-2-222222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000000000002-2
χ28222222-2-2-2-222222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000000000000000000-22
χ29222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000022-2-20000000000
χ30222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000-2-2220000000000
χ312222-2-222-2-22222222222-2-22-2-2-2-222-2-222-2-222-222-2-2-200002-22-20000000000000000000000000000000000000000000022-2-200
χ322222-2-222-2-22222222222-2-22-2-2-2-222-2-222-2-222-222-2-2-200002-22-200000000000000000000000000000000000000000000-2-22200
χ332222-2-222-2-2-2-22222222222-2-2-2-2-2-2-222-2-22222-222-2-2-20000-22-2200000000000000000000000000000000000000002i2i−2i−2i000000
χ342222-2-222-2-2-2-22222222222-2-2-2-2-2-2-222-2-22222-222-2-2-20000-22-220000000000000000000000000000000000000000−2i−2i2i2i000000
χ352222-2-2-2-2222222222222-22-2-2-2-2-222-2-222-2-2-2-22-2-22220000-22-220000000000000000002-2000000002-22-22-22-200000000000000
χ362222-2-2-2-2222222222222-22-2-2-2-2-222-2-222-2-2-2-22-2-22220000-22-22000000000000000000-2200000000-22-22-22-2200000000000000
χ372222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+521+521+52−1−52−1+52−1−5200001−52−1+521+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−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+5200000000000000
χ382222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+521+521+52−1−52−1+52−1−5200001−52−1+521+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−ζ3600-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+521−52−1+521+52−1−521+52−1−5200000000000000
χ392222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+521+521+52−1−52−1+52−1−5200001−52−1+521+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+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+5200000000000000
χ402222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+521+521+52−1−52−1+52−1−5200001−52−1+521+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+ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+521−52−1+521+52−1−521+52−1−5200000000000000
χ412222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−521−521−52−1+52−1−52−1+5200001+52−1−521−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+52−1−521+52−1+521−52−1+521−5200000000000000
χ422222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−521−521−52−1+52−1−52−1+5200001+52−1−521−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−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+5200000000000000
χ432222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−521−521−52−1+52−1−52−1+5200001+52−1−521−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+52−1−521+52−1+521−52−1+521−5200000000000000
χ442222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−521−521−52−1+52−1−52−1+5200001+52−1−521−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+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+5200000000000000
χ452222-2-2-2-222-2-2222222222-22-2-2-2-2-2-222-2-222-2-22-2-222200002-22-200000000000000002-2002222-2-2-2-20000000000000000000000
χ462222-2-2-2-222-2-2222222222-22-2-2-2-2-2-222-2-222-2-22-2-222200002-22-20000000000000000-2200-2-2-2-222220000000000000000000000
χ472222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1−520000−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+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+ζ3600000000000000
χ482222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1−520000−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ3600000000000000
χ492222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1−520000−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−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−ζ3600000000000000
χ502222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+521+521+52−1−52−1+52−1−520000−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−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+ζ3600000000000000
χ512222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1+520000−1−521+52−1+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+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+ζ2800000000000000
χ522222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1+520000−1−521+52−1+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+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−ζ2800000000000000
χ532222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1+520000−1−521+52−1+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−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−ζ2800000000000000
χ542222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−521−521−52−1+52−1−52−1+520000−1−521+52−1+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−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ2800000000000000
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χ562-2-222-22-22-20022-2-2-2-2220002-22-2000000002-222-22-2-22i−2i0000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−i2i2−i2i2−22−2200
χ572-2-222-22-22-20022-2-2-2-2220002-22-2000000002-222-22-2-2−2i2i000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000i2−i2i2−i2−22−2200
χ582-2-222-22-22-20022-2-2-2-2220002-22-2000000002-222-22-2-2−2i2i000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−i2i2−i2i22−22−200
χ592-2-22-222-2-220022-2-2-2-222000-22-22000000002-2-22-2-222002-20000000000002-22-22-22-20000000000000000000000002−2−222−2−2200
χ602-2-22-222-2-220022-2-2-2-222000-22-22000000002-2-22-2-222002-20000000000002-22-22-22-2000000000000000000000000−222−2−222−200
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χ63444444-4-4-4-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51−51−51+51+51+51−51+500001−51−51+51+500000000000000000000000000000000000000000000000000
χ64444444-4-4-4-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51+51−51−51−51+51−500001+51+51−51−500000000000000000000000000000000000000000000000000
χ65444444-4-4-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-444−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+51−51−51−51+51+51+51−51+50000−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000
χ66444444-4-4-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-444−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51+51−51−51−51+51−50000−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000
χ674444-4-444-4-444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-441−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−5−1−5−1−51+51−51+50000−1+51−5−1−51+500000000000000000000000000000000000000000000000000
χ684444-4-444-4-444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-441+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+5−1+5−1+51−51+51−50000−1−51+5−1+51−500000000000000000000000000000000000000000000000000
χ694444-4-444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-41−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−5−1−5−1−51+51−51+500001−5−1+51+5−1−500000000000000000000000000000000000000000000000000
χ704444-4-444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-41+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−51+5−1+5−1+51−51+51−500001+5−1−51−5−1+500000000000000000000000000000000000000000000000000
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χ724-44-40000004i−4i44-4-444-4-400000004i−4i004i−4i000000000000000000000000000000000000000000000000000000-22−2i2i0000000000
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χ754-4-444-44-44-400−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+500000000−1+51−5−1+5−1−51+5−1−51−51+54i−4i000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000
χ764-4-444-44-44-400−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+500000000−1+51−5−1+5−1−51+5−1−51−51+5−4i4i0000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000
χ774-4-444-44-44-400−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−500000000−1−51+5−1−5−1+51−5−1+51+51−54i−4i000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000
χ784-4-444-44-44-400−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−500000000−1−51+5−1−5−1+51−5−1+51+51−5−4i4i0000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000
χ794-4-444-4-44-440044-4-4-4-4440004-44-400000000-44-4-44-4440000000000000000000000000000000000000000000000000000000000
χ804-4-444-4-44-4400−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+5000000001−5−1+51−51+5−1−51+5−1+5−1−500000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000
χ814-4-444-4-44-4400−1+5−1−51−51+51−51+5−1+5−1−5000−1+51−5−1−51+5000000001−5−1+51−51+5−1−51+5−1+5−1−50000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000
χ824-4-444-4-44-4400−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−5000000001+5−1−51+51−5−1+51−5−1−5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000
χ834-4-444-4-44-4400−1−5−1+51+51−51+51−5−1−5−1+5000−1−51+5−1+51−5000000001+5−1−51+51−5−1+51−5−1−5−1+500000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000
χ844-4-44-444-4-4400−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−500000000−1+51−51−5−1−51+51+5−1+5−1−5004-4000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000
χ854-4-44-444-4-4400−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−500000000−1+51−51−5−1−51+51+5−1+5−1−500-440000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000
χ864-4-44-444-4-4400−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+500000000−1−51+51+5−1+51−51−5−1−5−1+5004-4000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000
χ874-4-44-444-4-4400−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+500000000−1−51+51+5−1+51−51−5−1−5−1+500-440000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000
χ884-4-44-44-444-40044-4-4-4-444000-44-4400000000-444-444-4-40000000000000000000000000000000000000000000000000000000000
χ894-4-44-44-444-400−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−5000000001−5−1+5−1+51+5−1−5−1−51−51+500000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000
χ904-4-44-44-444-400−1+5−1−51−51+51−51+5−1+5−1−50001−5−1+51+5−1−5000000001−5−1+5−1+51+5−1−5−1−51−51+5000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000
χ914-4-44-44-444-400−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+5000000001+5−1−5−1−51−5−1+5−1+51+51−5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000
χ924-4-44-44-444-400−1−5−1+51+51−51+51−5−1−5−1+50001+5−1−51−5−1+5000000001+5−1−5−1−51−5−1+5−1+51+51−500000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000000000
χ9388-8-8000000008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-800000000−2+25−2−25−2+25−2−252−252+252−252+250000000004ζ12−4ζ28−4ζ12+4ζ2800−4ζ4+4ζ364ζ4−4ζ36000000000000000000000000000000000000000000000000000000000000000000
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χ9688-8-800000000−2−25−2+25−2−25−2+252+252−252+252−25000000000−4ζ4+4ζ364ζ4−4ζ3600−4ζ12+4ζ284ζ12−4ζ28000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-800000000−2−25−2+25−2−25−2+252+252−252+252−250000000004ζ4−4ζ36−4ζ4+4ζ36004ζ12−4ζ28−4ζ12+4ζ28000000000000000000000000000000000000000000000000000000000000000000
χ988-88-80000008i−8i−2+25−2−252−252+25−2+25−2−252−252+250000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ998-88-80000008i−8i−2−25−2+252+252−25−2−25−2+252+252−250000000−4ζ6−4ζ144ζ6+4ζ1400−4ζ22−4ζ384ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8000000−8i8i−2+25−2−252−252+25−2+25−2−252−252+2500000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8000000−8i8i−2−25−2+252+252−25−2−25−2+252+252−2500000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000

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