Finite Group Databasebeta

← Group #12072624

Character table — Group #12072624

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222444444444444444444444444488888888888888888888888888881616161616161616161616161616161616164040404040404040404040408080
order1222224455101010101010224441010101010101010202020202020202020202020224444441010202020202020202020202020202020202020881010101020202020404040404040404024444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1
χ611111111111111111111111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1
χ9111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-1-11-111-111-1-11-1
χ10111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-111-11-1-11-1-111-11
χ11111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-111111-1-11-111-1-1-111-11
χ12111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-111-11-1-1111-1-11-1
χ13111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111-1-1-111-1111-1-1-11
χ14111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1111-1-11-1-1-1111-1
χ15111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11-1-1-111-11-1-1111-1
χ16111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1111-1-11-111-1-1-11
χ172222222222222222-2-22-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000220-2-2000000
χ182222222222222222-2-22-2-22222-2-2-2-222222222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000-2-2022000000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2122222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+5200000000000000
χ2222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5200000000000000
χ2422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−5200000000000000
χ2622222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ27222222-2-22222222222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-200000000000000000000000000000000000002-20-22000000
χ28222222-2-22222222222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000000000000000000000000000000-2202-2000000
χ29222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2222-2-2-21−521+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+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ30222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-2-22-2221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ31222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2222-22-2-21−521+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ32222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-2-2-22221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ33222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2222-2-2-21+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+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ34222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-2-22-2221+521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ35222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2222-22-2-21+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+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ36222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-2-2-22221+521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ372222-2-222222222222-2-22-2-2-2-2-2222222-2-222-2-222222200-2-200-2-2-2-20000000000000000002222-2-2-2-20000000000000000000000
χ382222-2-222222222222-2-22-2-2-2-2-2222222-2-222-2-22222-2-2002200-2-2-2-2000000000000000000-2-2-2-222220000000000000000000000
χ392222-2-22222222222-22-2-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-200000000222200000000000000000000000000000000002-2200-200000000
χ402222-2-22222222222-22-2-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-20000000022220000000000000000000000000000000000-22-200200000000
χ412222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-21−521−521+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+52−1−52−1−522200-2-2001−521+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−ζ3600−1+52−1−52−1+52−1−521−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ422222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-21−521−521+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+52−1−52−1−522200-2-2001−521+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+ζ3600−1+52−1−52−1+52−1−521−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ432222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-21−521−521+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+52−1−52−1−52-2-20022001−521+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−ζ36001−521+521−521+52−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ442222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-21−521−521+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+52−1−52−1−52-2-20022001−521+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+ζ36001−521+521−521+52−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ452222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-21+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+522200-2-2001+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−ζ2800−1−52−1+52−1−52−1+521+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ462222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-21+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+522200-2-2001+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+ζ2800−1−52−1+52−1−52−1+521+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ472222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-21+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+52-2-20022001+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−ζ28001+521−521+521−52−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ482222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-21+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+52-2-20022001+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+ζ28001+521−521+521−52−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ492222-2-2-2-2222222222-22-22-2-2-2-22222-2-222-2-222-2-2-2-200000000-2-222000000000000000000000000000000000022-200-200000000
χ502222-2-2-2-2222222222-22-22-2-2-2-22222-2-222-2-222-2-2-2-200000000-2-2220000000000000000000000000000000000-2-2200200000000
χ512222-2-2-2-222222222-2222-2-2-2-2-2-2-2-2-2-2-222-2-22222222-200-220022-2-200000000000000000022-2-2-2-2220000000000000000000000
χ522222-2-2-2-222222222-2222-2-2-2-2-2-2-2-2-2-2-222-2-2222222-22002-20022-2-2000000000000000000-2-22222-2-20000000000000000000000
χ532222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−522-200-2200−1+52−1−521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ542222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−522-200-2200−1+52−1−521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ552222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52-22002-200−1+52−1−521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ562222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-21−521−521+521+521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52-22002-200−1+52−1−521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ572222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-21+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+522-200-2200−1−52−1+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+ζ2800−1−52−1+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ582222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-21+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+522-200-2200−1−52−1+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−ζ2800−1−52−1+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ592222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-21+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+52-22002-200−1−52−1+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+ζ28001+521−52−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ602222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-21+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+52-22002-200−1−52−1+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−ζ28001+521−52−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ6144444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44-4-4−1+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+5000000001−51+51−51+5000000000000000000000000000000000000000000000000
χ6244444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44-4-4−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51+51−51−5000000001+51−51+51−5000000000000000000000000000000000000000000000000
χ63444444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-4-4−1+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+500000000−1+5−1−51−51+5000000000000000000000000000000000000000000000000
χ64444444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+51+51−51−500000000−1−5−1+51+51−5000000000000000000000000000000000000000000000000
χ654444-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-4-441−51−51+51+51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+500000000−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000
χ664444-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-4-441+51+51−51−51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−500000000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000
χ674444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-44-441−51−51+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+5000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ684444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-44-441+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+51−51−5000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ694-44-4004-4444-44-4-4-400000000000004-4004-4000000002i−2i002i−2i00002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ704-44-4004-4444-44-4-4-400000000000004-4004-400000000−2i2i00−2i2i0000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ714-44-4004-4−1+5−1−5−1+51−5−1−51+51−51+50000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−500−1−51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36002i−2i002i−2i0000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ14−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000000000000000000000000000
χ724-44-4004-4−1+5−1−5−1+51−5−1−51+51−51+50000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−500−1−51+5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600−2i2i00−2i2i00002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ142ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000000000000000000000000000
χ734-44-4004-4−1+5−1−5−1+51−5−1−51+51−51+5000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−500−1−51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36002i−2i002i−2i0000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ6−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000000000000000000000000000
χ744-44-4004-4−1+5−1−5−1+51−5−1−51+51−51+5000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−500−1−51+500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600−2i2i00−2i2i00002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ62ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000000000000000000000000000
χ754-44-4004-4−1−5−1+5−1−51+5−1+51−51+51−5000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+500−1+51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28002i−2i002i−2i0000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ22−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000000000000000000000000000
χ764-44-4004-4−1−5−1+5−1−51+5−1+51−51+51−5000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+500−1+51−500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800−2i2i00−2i2i00002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ222ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000000000000000000000000000
χ774-44-4004-4−1−5−1+5−1−51+5−1+51−51+51−50000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+500−1+51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28002i−2i002i−2i0000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ38−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000000000000000000000000000
χ784-44-4004-4−1−5−1+5−1−51+5−1+51−51+51−50000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+500−1+51−5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800−2i2i00−2i2i00002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ382ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000000000000000000000000000
χ794-44-400-44444-44-4-4-40000000000000-4400-44000000002i−2i00−2i2i00002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ804-44-400-44444-44-4-4-40000000000000-4400-4400000000−2i2i002i−2i0000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ814-44-400-44−1+5−1−5−1+51−5−1−51+51−51+50000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+5001+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36002i−2i00−2i2i0000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ62ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000000000000000000000000000
χ824-44-400-44−1+5−1−5−1+51−5−1−51+51−51+50000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+5001+5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600−2i2i002i−2i00002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ6−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000000000000000000000000000
χ834-44-400-44−1+5−1−5−1+51−5−1−51+51−51+5000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+5001+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36002i−2i00−2i2i0000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ142ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000000000000000000000000000
χ844-44-400-44−1+5−1−5−1+51−5−1−51+51−51+5000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+5001+5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600−2i2i002i−2i00002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ14−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000000000000000000000000000
χ854-44-400-44−1−5−1+5−1−51+5−1+51−51+51−5000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−5001−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28002i−2i00−2i2i0000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ382ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000000000000000000000000000
χ864-44-400-44−1−5−1+5−1−51+5−1+51−51+51−5000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−5001−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800−2i2i002i−2i00002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ38−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000000000000000000000000000
χ874-44-400-44−1−5−1+5−1−51+5−1+51−51+51−50000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−5001−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28002i−2i00−2i2i0000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ222ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000000000000000000000000000
χ884-44-400-44−1−5−1+5−1−51+5−1+51−51+51−50000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−5001−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800−2i2i002i−2i00002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ22−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000000000000000000000000000
χ894-4-444-40044-4-4-4-444000004-44-400000000000000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ904-4-444-40044-4-4-4-444000004-44-40000000000000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ914-4-44-440044-4-4-4-44400000-44-4400000000000000000000000000000000000000000000000000000000000000000000000022−2200
χ924-4-44-440044-4-4-4-44400000-44-44000000000000000000000000000000000000000000000000000000000000000000000000−222200
χ9388-8-8000088-88-88-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-80000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000−4ζ22+4ζ384ζ22−4ζ38004ζ6−4ζ14−4ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000
χ9588-8-80000−2+25−2−252−25−2+252+25−2−252−252+250000000000000004ζ22−4ζ38−4ζ22+4ζ3800−4ζ6+4ζ144ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000
χ9688-8-80000−2−25−2+252+25−2−252−25−2+252+252−250000000000000004ζ6−4ζ14−4ζ6+4ζ14004ζ22−4ζ38−4ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000
χ9788-8-80000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000−4ζ6+4ζ144ζ6−4ζ1400−4ζ22+4ζ384ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-800−2+25−2−252−252−252+252+25−2+25−2−2500000−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-888-800−2−25−2+252+252+252−252−25−2−25−2+2500000−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-8800−2+25−2−252−252−252+252+25−2+25−2−25000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8800−2−25−2+252+252+252−252−25−2−25−2+25000002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000

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