Finite Group Databasebeta

← Group #12075074

Character table — Group #12075074

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222444444444448888888888888888888881616161616202020202020404040404011112222222222224444444444488888888888888888888816161616162020202020204040404040
order1222444455101010101010224202020202020202048810101010202020202020404040404040404042020202044888824488222244441010101010101010224202020202020202048810101010202020202020404040404040404042020202044888824488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1
χ41111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111111111-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11111111-1-1-1-11111111111111111-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11111111-1-1-1-1
χ61111111111111111-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1111111111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1111111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111
χ81111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-11111111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1
χ922222222−1+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+52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−520000000000022222222−1+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+52−1−52222−1+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+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−5200000000000
χ1022222222−1+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+52−1−522-2-2−1+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+520000000000022222222−1+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+52−1−522-2-2−1+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+5200000000000
χ1122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2221−521−521+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+520000000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2221−521−521+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+5200000000000
χ1222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−520000000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−5200000000000
χ1322222222−1−52−1+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+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+522−1−52−1−52−1+52−1+520000000000022222222−1−52−1+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+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+522−1−52−1−52−1+52−1+5200000000000
χ1422222222−1−52−1+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+522-2-2−1−52−1−52−1+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+521−521−520000000000022222222−1−52−1+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+522-2-2−1−52−1−52−1+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+521−521−5200000000000
χ1522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2221+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+521−521−520000000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2221+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+521−521−5200000000000
χ1622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-21+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+520000000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-21+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+5200000000000
χ1722222-2-222222222200-22222-2-2-2-20000000-2-200000000000000000220000-2000022222-2-222222222200-22222-2-2-2-20000000-2-200000000000000000220000-20000
χ1822222-2-222222222200-22222-2-2-2-20000000-2-200000000000000000-2-200002000022222-2-222222222200-22222-2-2-2-20000000-2-200000000000000000-2-2000020000
χ192222-222-22222222222-2-2-2-2-22222-2002222-2-2-2-2-2-20000000000000000000000002222-222-22222222222-2-2-2-2-22222-2002222-2-2-2-2-2-2000000000000000000000000
χ202222-222-222222222-2-2-2-2-2-2-22222200-2-2-2-2-2-222220000000000000000000000002222-222-222222222-2-2-2-2-2-2-22222200-2-2-2-2-2-22222000000000000000000000000
χ212222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1−52−1+52−1−52-200−1+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−ζ36000000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1−52−1+52−1−52-200−1+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−ζ3600000000000
χ222222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1−52−1+52−1−52-200−1+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+ζ36000000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-21−521−521+521+52−1+52−1−52−1+52−1−52-200−1+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+ζ3600000000000
χ232222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522001−521−521+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+ζ36000000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522001−521−521+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+ζ3600000000000
χ242222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522001−521−521+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−ζ36000000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522001−521−521+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−ζ3600000000000
χ252222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1+52−1−52−1+52-200−1−52−1−52−1+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−ζ28000000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1+52−1−52−1+52-200−1−52−1−52−1+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−ζ2800000000000
χ262222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1+52−1−52−1+52-200−1−52−1−52−1+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+ζ28000000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1+52−1−52−1+52-200−1−52−1−52−1+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+ζ2800000000000
χ272222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522001+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+ζ28000000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522001+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+ζ2800000000000
χ282222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522001+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−ζ28000000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522001+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−ζ2800000000000
χ292222-2-2-2-222222222002-2-2-2-2-2-2-2-20000000220000000000000000000000002-2002222-2-2-2-222222222002-2-2-2-2-2-2-2-20000000220000000000000000000000002-200
χ302222-2-2-2-222222222002-2-2-2-2-2-2-2-2000000022000000000000000000000000-22002222-2-2-2-222222222002-2-2-2-2-2-2-2-2000000022000000000000000000000000-2200
χ312-22-2-200222-2-222-2-20002-22-200000i2−i20000000000i2−i2i2−i2i2−i2i2−i2000002i−2i22−2−2000002-22-2-200222-2-222-2-20002-22-200000i2−i20000000000i2−i2i2−i2i2−i2i2−i2000002i−2i22−2−200000
χ322-22-2-200222-2-222-2-20002-22-200000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000−2i2i−2−222000002-22-2-200222-2-222-2-20002-22-200000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000−2i2i−2−22200000
χ332-22-2-200222-2-222-2-20002-22-200000−i2i20000000000−i2i2−i2i2−i2i2−i2i2000002i−2i−2−222000002-22-2-200222-2-222-2-20002-22-200000−i2i20000000000−i2i2−i2i2−i2i2−i2i2000002i−2i−2−22200000
χ342-22-2-200222-2-222-2-20002-22-200000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000−2i2i22−2−2000002-22-2-200222-2-222-2-20002-22-200000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000−2i2i22−2−200000
χ352-2-220-22022-2-2-2-2222-200000-2-2220002-22-20000000000000000000002−22−20002−22-2-220-22022-2-2-2-2222-200000-2-2220002-22-20000000000000000000002−22−20002−2
χ362-2-220-22022-2-2-2-2222-200000-2-2220002-22-2000000000000000000000−22−22000−222-2-220-22022-2-2-2-2222-200000-2-2220002-22-2000000000000000000000−22−22000−22
χ372-2-220-22022-2-2-2-222-2200000-2-222000-22-220000000000000000000002−22−2000−222-2-220-22022-2-2-2-222-2200000-2-222000-22-220000000000000000000002−22−2000−22
χ382-2-220-22022-2-2-2-222-2200000-2-222000-22-22000000000000000000000−22−220002−22-2-220-22022-2-2-2-222-2200000-2-222000-22-22000000000000000000000−22−220002−2
χ3944444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1+5−1−5−1−51−51+51−51+500000001−51+5000000000000000000000000000044444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1+5−1−5−1−51−51+51−51+500000001−51+50000000000000000000000000000
χ4044444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1−5−1+5−1+51+51−51+51−500000001+51−5000000000000000000000000000044444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1−5−1+5−1+51+51−51+51−500000001+51−50000000000000000000000000000
χ414444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51−51+51+51−51+51−51+50000000−1+5−1−500000000000000000000000000004444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51−51+51+51−51+51−51+50000000−1+5−1−50000000000000000000000000000
χ424444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51+51−51−51+51−51+51−50000000−1−5−1+500000000000000000000000000004444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51+51−51−51+51−51+51−50000000−1−5−1+50000000000000000000000000000
χ4344-4-400004444-4-4-4-40000000000000000000000000000000000000002-2-220000044-4-400004444-4-4-4-40000000000000000000000000000000000000002-2-2200000
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χ872222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522001−521−521+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+ζ3600000000000-2-2-2-22-2-221−521+521−521+521−521+521−521+52222−1+52−1+52−1−52−1−521−521+521−521+52-200−1+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−ζ3600000000000
χ882222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-21−521−521+521+52−1+52−1−52−1+52−1−522001−521−521+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−ζ3600000000000-2-2-2-22-2-221−521+521−521+521−521+521−521+52222−1+52−1+52−1−52−1−521−521+521−521+52-200−1+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+ζ3600000000000
χ892222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1+52−1−52−1+52-200−1−52−1−52−1+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−ζ2800000000000-2-2-2-22-2-221+521−521+521−521+521−521+521−52-2-22−1−52−1−52−1+52−1+521+521−521+521−522001+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+ζ2800000000000
χ902222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-21+521+521−521−52−1−52−1+52−1−52−1+52-200−1−52−1−52−1+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+ζ2800000000000-2-2-2-22-2-221+521−521+521−521+521−521+521−52-2-22−1−52−1−52−1+52−1+521+521−521+521−522001+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−ζ2800000000000
χ912222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522001+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+ζ2800000000000-2-2-2-22-2-221+521−521+521−521+521−521+521−52222−1−52−1−52−1+52−1+521+521−521+521−52-200−1−52−1−52−1+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−ζ2800000000000
χ922222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-21+521+521−521−52−1−52−1+52−1−52−1+522001+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−ζ2800000000000-2-2-2-22-2-221+521−521+521−521+521−521+521−52222−1−52−1−52−1+52−1+521+521−521+521−52-200−1−52−1−52−1+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+ζ2800000000000
χ932222-2-2-2-222222222002-2-2-2-2-2-2-2-20000000220000000000000000000000002-200-2-2-2-22222-2-2-2-2-2-2-2-200-2222222220000000-2-2000000000000000000000000-2200
χ942222-2-2-2-222222222002-2-2-2-2-2-2-2-2000000022000000000000000000000000-2200-2-2-2-22222-2-2-2-2-2-2-2-200-2222222220000000-2-20000000000000000000000002-200
χ952-22-2-200222-2-222-2-20002-22-200000i2−i20000000000i2−i2i2−i2i2−i2i2−i2000002i−2i22−2−200000-22-22200-2-2-222-2-222000-22-2200000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000−2i2i−2−22200000
χ962-22-2-200222-2-222-2-20002-22-200000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000−2i2i−2−22200000-22-22200-2-2-222-2-222000-22-2200000−i2i20000000000−i2i2−i2i2−i2i2−i2i2000002i−2i22−2−200000
χ972-22-2-200222-2-222-2-20002-22-200000−i2i20000000000−i2i2−i2i2−i2i2−i2i2000002i−2i−2−22200000-22-22200-2-2-222-2-222000-22-2200000i2−i20000000000i2−i2i2−i2i2−i2i2−i200000−2i2i22−2−200000
χ982-22-2-200222-2-222-2-20002-22-200000−i2i20000000000−i2i2−i2i2−i2i2−i2i200000−2i2i22−2−200000-22-22200-2-2-222-2-222000-22-2200000i2−i20000000000i2−i2i2−i2i2−i2i2−i2000002i−2i−2−22200000
χ992-2-220-22022-2-2-2-2222-200000-2-2220002-22-20000000000000000000002−22−20002−2-222-202-20-2-22222-2-2-220000022-2-2000-22-22000000000000000000000−22−22000−22
χ1002-2-220-22022-2-2-2-2222-200000-2-2220002-22-2000000000000000000000−22−22000−22-222-202-20-2-22222-2-2-220000022-2-2000-22-220000000000000000000002−22−20002−2
χ1012-2-220-22022-2-2-2-222-2200000-2-222000-22-220000000000000000000002−22−2000−22-222-202-20-2-22222-2-22-20000022-2-20002-22-2000000000000000000000−22−220002−2
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χ10344444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500-4−1+5−1+5−1−5−1−51−51+51−51+500000001−51+50000000000000000000000000000-4-4-4-4-444-41−51+51−51+51−51+51−51+50041−51−51+51+5−1+5−1−5−1+5−1−50000000−1+5−1−50000000000000000000000000000
χ10444444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500-4−1−5−1−5−1+5−1+51+51−51+51−500000001+51−50000000000000000000000000000-4-4-4-4-444-41+51−51+51−51+51−51+51−50041+51+51−51−5−1−5−1+5−1−5−1+50000000−1−5−1+50000000000000000000000000000
χ1054444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−50041−51−51+51+51−51+51−51+50000000−1+5−1−50000000000000000000000000000-4-4-4-444441−51+51−51+51−51+51−51+500-4−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−500000001−51+50000000000000000000000000000
χ1064444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+50041+51+51−51−51+51−51+51−50000000−1−5−1+50000000000000000000000000000-4-4-4-444441+51−51+51−51+51−51+51−500-4−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+500000001+51−50000000000000000000000000000
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χ1094-44-4400-444-4-444-4-4000-44-4400000000000000000000000000000000000000000-44-44-4004-4-444-4-4440004-44-400000000000000000000000000000000000000000
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χ1114-44-4400-4−1+5−1−51−51+5−1+5−1−51−51+50001−5−1+51+5−1−500000000000000000−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+ζ390000000000000000-44-44-40041−51+5−1+5−1−51−51+5−1+5−1−5000−1+51−5−1−51+500000000000000000ζ7−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−ζ390000000000000000
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χ1204-4-4404-40−1+5−1−51−51+51−51+5−1+5−1−50000000−1+5−1−51−51+50000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000-444-40-4401−51+5−1+5−1−5−1+5−1−51−51+500000001−51+5−1+5−1−5000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000
χ1214-4-4404-40−1−5−1+51+51−51+51−5−1−5−1+50000000−1−5−1+51+51−50000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000-444-40-4401+51−5−1−5−1+5−1−5−1+51+51−500000001+51−5−1−5−1+5000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000
χ1224-4-4404-40−1−5−1+51+51−51+51−5−1−5−1+50000000−1−5−1+51+51−5000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000-444-40-4401+51−5−1−5−1+5−1−5−1+51+51−500000001+51−5−1−5−1+50000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000
χ1234-4-440-440−1+5−1−51−51+51−51+5−1+5−1−54-4000001−51+5−1+5−1−5000−1+51−5−1−51+5000000000000000000000000000000-444-404-401−51+5−1+5−1−5−1+5−1−51−51+5-4400000−1+5−1−51−51+50001−5−1+51+5−1−5000000000000000000000000000000
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χ12788-8-80000−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000-8-88800002−252+252−252+25−2+25−2−25−2+25−2−25000000000000000000000000000000000000000000000000
χ12888-8-80000−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000-8-88800002+252−252+252−25−2−25−2+25−2−25−2+25000000000000000000000000000000000000000000000000

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