Finite Group Databasebeta

← Group #13106453

Character table — Group #13106453

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size112222244444441010202244444888888820204022444448888888202040551010101010202020202020205050100112222244444441010202244444888888820204022444448888888202040551010101010202020202020205050100
order12455101042020202020208825102055101020202020202020404010510205510102020202020202040401022410101010420202020202088222410101010420202020202088210102010101010202020202020204040101010201010101020202020202020404010224101010104202020202020882
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-1
χ31111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-1
χ41111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-11
χ5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000
χ6222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000
χ7222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000
χ8222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000
χ922-222220-2-2000000022-222220-2-2000000022-222220-2-2000000022-222220-2-2000000022-222220-2-2000000022-222220-2-2000000022-222220-2-2000000022-222220-2-20000000
χ1022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000
χ1122-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000
χ1222-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000
χ1322-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000
χ142-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i20
χ152-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i20
χ164-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000
χ174-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000
χ18111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1911111111111111-1-1-111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ201111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11
χ211111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1111111-11111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1111111-1
χ22222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000
χ23222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000
χ24222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000
χ25222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000
χ2622-222220-2-2000000022-222220-2-2000000022-222220-2-20000000-2-22-2-2-2-2022000000022-222220-2-2000000022-222220-2-2000000022-222220-2-20000000-2-22-2-2-2-20220000000
χ2722-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000-2-221−521+521−521+520−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000-2-221−521+521−521+520−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000
χ2822-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000-2-221−521+521−521+520−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600022-2−1+52−1−52−1+52−1−5201−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000-2-221−521+521−521+520−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000
χ2922-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000-2-221+521−521+521−520−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000-2-221+521−521+521−520−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000
χ3022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000-2-221+521−521+521−520−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000-2-221+521−521+521−520−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000
χ312-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i20-220-2-2220000000−i2i202-2022-2-20000000i2−i202-2022-2-20000000i2−i202-2022-2-20000000i2−i20-220-2-2220000000−i2i20
χ322-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i20-220-2-2220000000i2−i202-2022-2-20000000−i2i202-2022-2-20000000−i2i202-2022-2-20000000−i2i20-220-2-2220000000i2−i20
χ334-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000-4401−51+5−1+5−1−500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000-4401−51+5−1+5−1−50000000000
χ344-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000-4401+51−5−1−5−1+500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−500000000004-40−1−5−1+51+51−50000000000-4401+51−5−1−5−1+50000000000
χ3522222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000022222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000
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χ711111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11-1-11111-1-11
χ721111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1111111-1
χ73222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000
χ74222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000
χ75222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000
χ76222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000
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χ8122-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800022-2−1−52−1+52−1−52−1+5201+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000-2-221+521−521+521−520−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000-2-221+521−521+521−520−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000-2-221+521−521+521−520−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000-2-221+521−521+521−520−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000
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χ844-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+500000000004-40−1+5−1−51−51+50000000000-4401−51+5−1+5−1−50000000000-4401−51+5−1+5−1−50000000000-4401−51+5−1+5−1−50000000000-4401−51+5−1+5−1−50000000000
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χ86111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111
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χ881111111-111-1-1-1-111-11111111-111-1-1-1-111-11111111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-11-1-11111-1-111111111-111-1-1-1-111-1
χ891111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-111111111-111-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1111111-11111111-111-1-1-1-1-1-11
χ90222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000-2-2-21−521+521−521+52-21−521+521−521−521+521+52000222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52000
χ91222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000-2-2-21−521+521−521+5221−521+52−1+52−1+52−1−52−1−52000222−1+52−1−52−1+52−1−52-2−1+52−1−521−521−521+521+52000
χ92222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000-2-2-21+521−521+521−52-21+521−521+521+521−521−52000222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52000
χ93222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000-2-2-21+521−521+521−5221+521−52−1−52−1−52−1+52−1+52000222−1−52−1+52−1−52−1+52-2−1−52−1+521+521+521−521−52000
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χ1344-4044-4-40000000−2i22i20−1−51+50−1−5−1−51+51+50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390−1+51−50−1+5−1+51−51−50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000-440-4-44400000002i2−2i201+5−1−501+51+5−1−5−1−50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3901−5−1+501−51−5−1+5−1+50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000
χ1358-80−2+25−2−252−252+250000000000−2−252+250-23+52−3−50000000000−2+252−2503−5-2−3+52000000000000000000000000000-8802−252+25−2+25−2−2500000000002+25−2−2502−3−5-23+500000000002−25−2+250−3+523−5-2000000000000000000000000000
χ1368-80−2−25−2+252+252−250000000000−2−252+2503+5-2−3−520000000000−2+252−250-23−52−3+5000000000000000000000000000-8802+252−25−2−25−2+2500000000002+25−2−250−3−523+5-200000000002−25−2+2502−3+5-23−5000000000000000000000000000

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