Finite Group Databasebeta

← Group #12081819

Character table — Group #12081819

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222222244444444488888888888888888888881616161616202020204040404080111122222222222244444444488888888888888888888881616161616202020204040404080
order1222444455101010101010420202020202020202488101010102020202020204040404040404040420202020888888884222244441010101010101010420202020202020202488101010102020202020204040404040404040420202020888888884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ4111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ51111111111111111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111111-1-1-11111111111111111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111111-1-1-1
χ61111111111111111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111
χ71111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11
χ81111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1
χ922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−5200000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52000000000
χ1022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2−1+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+52-21−521−521+521+5200000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2−1+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+52-21−521−521+521+52000000000
χ1122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+5200000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+52000000000
χ1222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−5200000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52000000000
χ1322222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+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+522−1−52−1−52−1+52−1+5200000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+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+522−1−52−1−52−1+52−1+52000000000
χ1422222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−5200000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52000000000
χ1522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−5200000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−52000000000
χ1622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+5200000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52000000000
χ1722222-22-222222222-2-2-2-2-222222-2002222-2-2-2-2-2-2000000000000000000000022222-22-222222222-2-2-2-2-222222-2002222-2-2-2-2-2-20000000000000000000000
χ1822222-22-222222222-2-2-2-2-22222-2200-2-2-2-2-2-22222000000000000000000000022222-22-222222222-2-2-2-2-22222-2200-2-2-2-2-2-222220000000000000000000000
χ1922222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−522-200−1+52−1+52−1−52−1−521−521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000022222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−522-200−1+52−1+52−1−52−1−521−521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ2022222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−522-200−1+52−1+52−1−52−1−521−521+521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000022222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−522-200−1+52−1+52−1−52−1−521−521+521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ2122222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−52-22001−521−521+521+521−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000022222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−52-22001−521−521+521+521−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ2222222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−52-22001−521−521+521+521−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000022222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−52-22001−521−521+521+521−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ2322222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+522-200−1−52−1−52−1+52−1+521+521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000022222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+522-200−1−52−1−52−1+52−1+521+521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ2422222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+522-200−1−52−1−52−1+52−1+521+521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000022222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+522-200−1−52−1−52−1+52−1+521+521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ2522222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+52-22001+521+521−521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000022222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+52-22001+521+521−521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ2622222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+52-22001+521+521−521−521+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000022222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+52-22001+521+521−521−521+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ272222-22-2222222222-22222-2-2-2-200000000-2-20000000000000000022-2-2000002222-22-2222222222-22222-2-2-2-200000000-2-20000000000000000022-2-200000
χ282222-22-2222222222-22222-2-2-2-200000000-2-200000000000000000-2-222000002222-22-2222222222-22222-2-2-2-200000000-2-200000000000000000-2-22200000
χ292222-2-2-2-2222222222-2-2-2-2-2-2-2-20000000022000000000000000000000002i−2i02222-2-2-2-2222222222-2-2-2-2-2-2-2-20000000022000000000000000000000002i−2i0
χ302222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000002200000000000000000000000−2i2i02222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000002200000000000000000000000−2i2i0
χ3122-2-20-20222-2-222-2-202-22-2000000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000002-2i2−i200022-2-20-20222-2-222-2-202-22-2000000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000002-2i2−i2000
χ3222-2-20-20222-2-222-2-202-22-2000000i2−i20000000000i2−i2i2−i2i2−i2i2−i20000000-22−i2i200022-2-20-20222-2-222-2-202-22-2000000i2−i20000000000i2−i2i2−i2i2−i2i2−i20000000-22−i2i2000
χ3322-2-20-20222-2-222-2-202-22-2000000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000002-2−i2i200022-2-20-20222-2-222-2-202-22-2000000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000002-2−i2i2000
χ3422-2-20-20222-2-222-2-202-22-2000000−i2i20000000000−i2i2−i2i2−i2i2−i2i20000000-22i2−i200022-2-20-20222-2-222-2-202-22-2000000−i2i20000000000−i2i2−i2i2−i2i2−i2i20000000-22i2−i2000
χ354444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4−1+5−1+5−1−5−1−51−51+51−51+5000000001−51+5000000000000000000000000004444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4−1+5−1+5−1−5−1−51−51+51−51+5000000001−51+500000000000000000000000000
χ364444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4−1−5−1−5−1+5−1+51+51−51+51−5000000001+51−5000000000000000000000000004444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4−1−5−1−5−1+5−1+51+51−51+51−5000000001+51−500000000000000000000000000
χ374444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−541−51−51+51+51−51+51−51+500000000−1+5−1−5000000000000000000000000004444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−541−51−51+51+51−51+51−51+500000000−1+5−1−500000000000000000000000000
χ384444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+541+51+51−51−51+51−51+51−500000000−1−5−1+5000000000000000000000000004444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+541+51+51−51−51+51−51+51−500000000−1−5−1+500000000000000000000000000
χ3944-4-4040-444-4-444-4-40-44-44000000000000000000000000000000000000000044-4-4040-444-4-444-4-40-44-440000000000000000000000000000000000000000
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χ8222222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−52-22001−521−521+521+521−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000-2-2-2-2-22-221−521+521−521+521−521+521−521+522−1+52−1+52−1−52−1−521−521+521−521+522-200−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000
χ8322222-22-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52−1+52−1−52−1+52−1−52-22001−521−521+521+521−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000-2-2-2-2-22-221−521+521−521+521−521+521−521+522−1+52−1+52−1−52−1−521−521+521−521+522-200−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000
χ8422222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+522-200−1−52−1−52−1+52−1+521+521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000-2-2-2-2-22-221+521−521+521−521+521−521+521−522−1−52−1−52−1+52−1+521+521−521+521−52-22001+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ8522222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+522-200−1−52−1−52−1+52−1+521+521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000-2-2-2-2-22-221+521−521+521−521+521−521+521−522−1−52−1−52−1+52−1+521+521−521+521−52-22001+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ8622222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+52-22001+521+521−521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000-2-2-2-2-22-221+521−521+521−521+521−521+521−522−1−52−1−52−1+52−1+521+521−521+521−522-200−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000
χ8722222-22-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52−1−52−1+52−1−52−1+52-22001+521+521−521−521+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000-2-2-2-2-22-221+521−521+521−521+521−521+521−522−1−52−1−52−1+52−1+521+521−521+521−522-200−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000
χ882222-22-2222222222-22222-2-2-2-200000000-2-20000000000000000022-2-200000-2-2-2-22-22-2-2-2-2-2-2-2-2-22-2-2-2-22222000000002200000000000000000-2-22200000
χ892222-22-2222222222-22222-2-2-2-200000000-2-200000000000000000-2-22200000-2-2-2-22-22-2-2-2-2-2-2-2-2-22-2-2-2-2222200000000220000000000000000022-2-200000
χ902222-2-2-2-2222222222-2-2-2-2-2-2-2-20000000022000000000000000000000002i−2i0-2-2-2-22222-2-2-2-2-2-2-2-2-22222222200000000-2-200000000000000000000000−2i2i0
χ912222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000002200000000000000000000000−2i2i0-2-2-2-22222-2-2-2-2-2-2-2-2-22222222200000000-2-2000000000000000000000002i−2i0
χ9222-2-20-20222-2-222-2-202-22-2000000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000002-2i2−i2000-2-222020-2-2-222-2-2220-22-22000000−i2i20000000000−i2i2−i2i2−i2i2−i2i20000000-22−i2i2000
χ9322-2-20-20222-2-222-2-202-22-2000000i2−i20000000000i2−i2i2−i2i2−i2i2−i20000000-22−i2i2000-2-222020-2-2-222-2-2220-22-22000000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000002-2i2−i2000
χ9422-2-20-20222-2-222-2-202-22-2000000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000002-2−i2i2000-2-222020-2-2-222-2-2220-22-22000000i2−i20000000000i2−i2i2−i2i2−i2i2−i20000000-22i2−i2000
χ9522-2-20-20222-2-222-2-202-22-2000000−i2i20000000000−i2i2−i2i2−i2i2−i2i20000000-22i2−i2000-2-222020-2-2-222-2-2220-22-22000000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000002-2−i2i2000
χ964444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4−1+5−1+5−1−5−1−51−51+51−51+5000000001−51+500000000000000000000000000-4-4-4-44-44-41−51+51−51+51−51+51−51+541−51−51+51+5−1+5−1−5−1+5−1−500000000−1+5−1−500000000000000000000000000
χ974444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4−1−5−1−5−1+5−1+51+51−51+51−5000000001+51−500000000000000000000000000-4-4-4-44-44-41+51−51+51−51+51−51+51−541+51+51−51−5−1−5−1+5−1−5−1+500000000−1−5−1+500000000000000000000000000
χ984444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−541−51−51+51+51−51+51−51+500000000−1+5−1−500000000000000000000000000-4-4-4-444441−51+51−51+51−51+51−51+5-4−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5000000001−51+500000000000000000000000000
χ994444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+541+51+51−51−51+51−51+51−500000000−1−5−1+500000000000000000000000000-4-4-4-444441+51−51+51−51+51−51+51−5-4−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5000000001+51−500000000000000000000000000
χ10044-4-4040-444-4-444-4-40-44-440000000000000000000000000000000000000000-4-4440-404-4-444-4-44404-44-40000000000000000000000000000000000000000
χ10144-4-4040-4−1+5−1−51−51+5−1+5−1−51−51+501−5−1+51+5−1−5000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000-4-4440-4041−51+5−1+5−1−51−51+5−1+5−1−50−1+51−5−1−51+5000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000
χ10244-4-4040-4−1+5−1−51−51+5−1+5−1−51−51+501−5−1+51+5−1−5000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000-4-4440-4041−51+5−1+5−1−51−51+5−1+5−1−50−1+51−5−1−51+5000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000
χ10344-4-4040-4−1−5−1+51+51−5−1−5−1+51+51−501+5−1−51−5−1+5000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000-4-4440-4041+51−5−1−5−1+51+51−5−1−5−1+50−1−51+5−1+51−5000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000
χ10444-4-4040-4−1−5−1+51+51−5−1−5−1+51+51−501+5−1−51−5−1+5000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000-4-4440-4041+51−5−1−5−1+51+51−5−1−5−1+50−1−51+5−1+51−5000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000
χ10544-4-40-404−1+5−1−51−51+5−1+5−1−51−51+50−1+51−5−1−51+50000002i2−2i20000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000-4-444040-41−51+5−1+5−1−51−51+5−1+5−1−501−5−1+51+5−1−5000000−2i22i20000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000
χ10644-4-40-404−1+5−1−51−51+5−1+5−1−51−51+50−1+51−5−1−51+5000000−2i22i20000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000-4-444040-41−51+5−1+5−1−51−51+5−1+5−1−501−5−1+51+5−1−50000002i2−2i20000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000
χ10744-4-40-404−1−5−1+51+51−5−1−5−1+51+51−50−1−51+5−1+51−50000002i2−2i20000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000-4-444040-41+51−5−1−5−1+51+51−5−1−5−1+501+5−1−51−5−1+5000000−2i22i20000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000
χ10844-4-40-404−1−5−1+51+51−5−1−5−1+51+51−50−1−51+5−1+51−5000000−2i22i20000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000-4-444040-41+51−5−1−5−1+51+51−5−1−5−1+501+5−1−51−5−1+50000002i2−2i20000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000
χ1094-44-440-4044-4-4-4-4440000044-4-4000000000000000000000000000000000000-44-44-4040-4-44444-4-400000-4-444000000000000000000000000000000000000
χ1104-44-440-40−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1−51−51+50000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000-44-44-40401−51+5−1+5−1−5−1+5−1−51−51+5000001−51+5−1+5−1−500000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000
χ1114-44-440-40−1+5−1−51−51+51−51+5−1+5−1−500000−1+5−1−51−51+500000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000-44-44-40401−51+5−1+5−1−5−1+5−1−51−51+5000001−51+5−1+5−1−50000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000
χ1124-44-440-40−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1+51+51−500000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000-44-44-40401+51−5−1−5−1+5−1−5−1+51+51−5000001+51−5−1−5−1+50000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000
χ1134-44-440-40−1−5−1+51+51−51+51−5−1−5−1+500000−1−5−1+51+51−50000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000-44-44-40401+51−5−1−5−1+5−1−5−1+51+51−5000001+51−5−1−5−1+500000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000
χ1144-44-4-404044-4-4-4-44400000-4-444000000000000000000000000000000000000-44-4440-40-4-44444-4-40000044-4-4000000000000000000000000000000000000
χ1154-44-4-4040−1+5−1−51−51+51−51+5−1+5−1−5000001−51+5−1+5−1−500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000-44-4440-401−51+5−1+5−1−5−1+5−1−51−51+500000−1+5−1−51−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000
χ1164-44-4-4040−1+5−1−51−51+51−51+5−1+5−1−5000001−51+5−1+5−1−50000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000-44-4440-401−51+5−1+5−1−5−1+5−1−51−51+500000−1+5−1−51−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000
χ1174-44-4-4040−1−5−1+51+51−51+51−5−1−5−1+5000001+51−5−1−5−1+50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000-44-4440-401+51−5−1−5−1+5−1−5−1+51+51−500000−1−5−1+51+51−500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000
χ1184-44-4-4040−1−5−1+51+51−51+51−5−1−5−1+5000001+51−5−1−5−1+500002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000-44-4440-401+51−5−1−5−1+5−1−5−1+51+51−500000−1−5−1+51+51−50000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000
χ1194-4-4400004444-4-4-4-40000000000000000000000000000000000002i2−2i20000000-444-40000-4-4-4-44444000000000000000000000000000000000000−2i22i20000000
χ1204-4-4400004444-4-4-4-4000000000000000000000000000000000000−2i22i20000000-444-40000-4-4-4-444440000000000000000000000000000000000002i2−2i20000000
χ1218-8-880000−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000-888-800002−252+252−252+25−2+25−2−25−2+25−2−25000000000000000000000000000000000000000000000
χ1228-8-880000−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000-888-800002+252−252+252−25−2−25−2+25−2−25−2+25000000000000000000000000000000000000000000000

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