141:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Cocientes notables:@0.095800:0.136304:0.292994:0.136304:0.292994:0.114495:0.095800:0.114495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen ciertas divisiones cuyo cociente puede ser escrito directamente. A este tipo :@0.095800:0.174180:0.698227:0.174180:0.698227:0.158510:0.095800:0.158510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de divisiones se les denomina cocientes notables.:@0.095800:0.190777:0.459536:0.190777:0.459536:0.175107:0.095800:0.175107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia de dos cuadrados perfectos dividida entre la suma de las raíces :@0.110323:0.219429:0.682260:0.219429:0.682260:0.203759:0.110323:0.203759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a la diferencia de sus raíces. Y si la división es para la diferencia de sus :@0.106970:0.236026:0.685511:0.236026:0.685511:0.220356:0.106970:0.220356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces, el cociente es igual a la suma de las raíces.:@0.106970:0.252622:0.463574:0.252622:0.463574:0.236952:0.106970:0.236952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.289214:0.280718:0.299331:0.280718:0.299331:0.265145:0.289214:0.265145:0.000000
+:@0.289214:0.300163:0.299331:0.300163:0.299331:0.284590:0.289214:0.284590:0.000000
=−:@0.323453:0.289680:0.359424:0.289680:0.359424:0.274107:0.323453:0.274107:0.000000:0.000000
−:@0.443804:0.280718:0.453920:0.280718:0.453920:0.265145:0.443804:0.265145:0.000000
−:@0.443804:0.300163:0.453920:0.300163:0.453920:0.284590:0.443804:0.284590:0.000000
=+:@0.478042:0.289680:0.514013:0.289680:0.514013:0.274107:0.478042:0.274107:0.000000:0.000000
a:@0.269847:0.280040:0.279116:0.280040:0.279116:0.263679:0.269847:0.263679:0.000000
b:@0.302095:0.280040:0.311364:0.280040:0.311364:0.263679:0.302095:0.263679:0.000000
ab:@0.277126:0.299485:0.311364:0.299485:0.311364:0.283124:0.277126:0.283124:0.000000:0.000000
ab:@0.337218:0.289002:0.371457:0.289002:0.371457:0.272641:0.337218:0.272641:0.000000:0.000000
a:@0.424436:0.280040:0.433705:0.280040:0.433705:0.263679:0.424436:0.263679:0.000000
b:@0.456685:0.280040:0.465954:0.280040:0.465954:0.263679:0.456685:0.263679:0.000000
ab:@0.431715:0.299485:0.465954:0.299485:0.465954:0.283124:0.431715:0.283124:0.000000:0.000000
ab:@0.491813:0.289008:0.526051:0.289008:0.526051:0.272647:0.491813:0.272647:0.000000:0.000000
2:@0.279685:0.272389:0.284897:0.272389:0.284897:0.262891:0.279685:0.262891:0.000000
2:@0.311938:0.272389:0.317150:0.272389:0.317150:0.262891:0.311938:0.262891:0.000000
2:@0.434273:0.272389:0.439485:0.272389:0.439485:0.262891:0.434273:0.262891:0.000000
2:@0.466526:0.272389:0.471738:0.272389:0.471738:0.262891:0.466526:0.262891:0.000000
Calcular el cociente:@0.095800:0.352862:0.238557:0.352862:0.238557:0.337192:0.095800:0.337192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.238559:0.369209:0.242595:0.369209:0.242595:0.353539:0.238559:0.353539:0.000000
−:@0.284788:0.344581:0.294905:0.344581:0.294905:0.329008:0.284788:0.329008:0.000000
+:@0.289285:0.364026:0.299401:0.364026:0.299401:0.348453:0.289285:0.348453:0.000000
x:@0.265314:0.343903:0.272777:0.343903:0.272777:0.327542:0.265314:0.327542:0.000000
y z:@0.317814:0.343903:0.340768:0.343903:0.340768:0.327542:0.317814:0.327542:0.000000:0.000000:0.000000
x:@0.270651:0.363349:0.278114:0.363349:0.278114:0.346987:0.270651:0.346987:0.000000
yz:@0.312795:0.363349:0.327316:0.363349:0.327316:0.346987:0.312795:0.346987:0.000000:0.000000
25:@0.246677:0.343903:0.264459:0.343903:0.264459:0.328234:0.246677:0.328234:0.000000:0.000000
64:@0.298034:0.343903:0.315817:0.343903:0.315817:0.328234:0.298034:0.328234:0.000000:0.000000
5:@0.260811:0.363349:0.269803:0.363349:0.269803:0.347679:0.260811:0.347679:0.000000
8:@0.302162:0.363349:0.311155:0.363349:0.311155:0.347679:0.302162:0.347679:0.000000
4:@0.274841:0.336241:0.280052:0.336241:0.280052:0.327160:0.274841:0.327160:0.000000
2 6:@0.326925:0.336241:0.347638:0.336241:0.347638:0.327160:0.326925:0.327160:0.000000:0.000000:0.000000
2:@0.279763:0.355690:0.284974:0.355690:0.284974:0.346609:0.279763:0.346609:0.000000
3:@0.328761:0.355690:0.333972:0.355690:0.333972:0.346609:0.328761:0.346609:0.000000
Como 25:@0.095800:0.400474:0.165526:0.399712:0.165526:0.384043:0.095800:0.384805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.140893:0.404250:0.144928:0.404250:0.144928:0.388580:0.140893:0.388580:0.000000
−:@0.185854:0.400390:0.195970:0.400390:0.195970:0.384817:0.185854:0.384817:0.000000
x:@0.166379:0.399712:0.173842:0.399712:0.173842:0.383351:0.166379:0.383351:0.000000
y z:@0.218879:0.399712:0.241835:0.399712:0.241835:0.383351:0.218879:0.383351:0.000000:0.000000:0.000000
64:@0.199101:0.399712:0.216884:0.399712:0.216884:0.384043:0.199101:0.384043:0.000000:0.000000
4:@0.175908:0.392051:0.181119:0.392051:0.181119:0.382970:0.175908:0.382970:0.000000
2 6:@0.228003:0.392051:0.248704:0.392051:0.248704:0.382970:0.228003:0.382970:0.000000:0.000000:0.000000
 es la diferencia de dos cuadrados perfectos y 5:@0.252341:0.400474:0.601943:0.399217:0.601943:0.383547:0.252341:0.384805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.586102:0.405508:0.590138:0.405508:0.590138:0.389839:0.586102:0.389839:0.000000
+:@0.621429:0.399895:0.631546:0.399895:0.631546:0.384322:0.621429:0.384322:0.000000
x:@0.602792:0.399217:0.610255:0.399217:0.610255:0.382856:0.602792:0.382856:0.000000
yz:@0.644936:0.399217:0.659454:0.399217:0.659454:0.382856:0.644936:0.382856:0.000000:0.000000
8:@0.634302:0.399217:0.643295:0.399217:0.643295:0.383547:0.634302:0.383547:0.000000
2:@0.611902:0.391555:0.617114:0.391555:0.617114:0.382473:0.611902:0.382473:0.000000
3:@0.660900:0.391555:0.666112:0.391555:0.666112:0.382473:0.660900:0.382473:0.000000
 :@0.674096:0.405503:0.678131:0.405503:0.678131:0.389834:0.674096:0.389834:0.000000
es :@0.678334:0.400469:0.698180:0.400469:0.698180:0.384799:0.678334:0.384799:0.000000:0.000000:0.000000
la suma de sus raíces, el cociente es::@0.095799:0.417066:0.358906:0.417066:0.358906:0.401396:0.095799:0.401396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.137995:0.442572:0.148112:0.442572:0.148112:0.427000:0.137995:0.427000:0.000000
+:@0.142492:0.462018:0.152608:0.462018:0.152608:0.446445:0.142492:0.446445:0.000000
=:@0.207357:0.451521:0.217474:0.451521:0.217474:0.435948:0.207357:0.435948:0.000000
−:@0.249243:0.451521:0.259360:0.451521:0.259360:0.435948:0.249243:0.435948:0.000000
x:@0.118517:0.441881:0.125981:0.441881:0.125981:0.425520:0.118517:0.425520:0.000000
y z:@0.171018:0.441881:0.193979:0.441881:0.193979:0.425520:0.171018:0.425520:0.000000:0.000000:0.000000
x:@0.123861:0.461326:0.131325:0.461326:0.131325:0.444965:0.123861:0.444965:0.000000
yz:@0.166005:0.461326:0.180526:0.461326:0.180526:0.444965:0.166005:0.444965:0.000000:0.000000
x:@0.230604:0.450853:0.238067:0.450853:0.238067:0.434492:0.230604:0.434492:0.000000
yz:@0.272748:0.450853:0.287266:0.450853:0.287266:0.434492:0.272748:0.434492:0.000000:0.000000
25:@0.099875:0.441891:0.117658:0.441891:0.117658:0.426221:0.099875:0.426221:0.000000:0.000000
64:@0.151233:0.441891:0.169016:0.441891:0.169016:0.426221:0.151233:0.426221:0.000000:0.000000
5:@0.114009:0.461336:0.123002:0.461336:0.123002:0.445667:0.114009:0.445667:0.000000
8:@0.155361:0.461336:0.164354:0.461336:0.164354:0.445667:0.155361:0.445667:0.000000
5:@0.220762:0.450853:0.229755:0.450853:0.229755:0.435183:0.220762:0.435183:0.000000
8:@0.262114:0.450853:0.271107:0.450853:0.271107:0.435183:0.262114:0.435183:0.000000
4:@0.128049:0.434234:0.133261:0.434234:0.133261:0.425152:0.128049:0.425152:0.000000
2 6:@0.180134:0.434234:0.200842:0.434234:0.200842:0.425152:0.180134:0.425152:0.000000:0.000000:0.000000
2:@0.132962:0.453679:0.138174:0.453679:0.138174:0.444597:0.132962:0.444597:0.000000
3:@0.181960:0.453679:0.187172:0.453679:0.187172:0.444597:0.181960:0.444597:0.000000
2:@0.239714:0.443192:0.244926:0.443192:0.244926:0.434111:0.239714:0.434111:0.000000
3:@0.288712:0.443192:0.293924:0.443192:0.293924:0.434111:0.288712:0.434111:0.000000
 :@0.301856:0.467198:0.305891:0.467198:0.305891:0.451528:0.301856:0.451528:0.000000
La diferencia de cubos perfectos dividida entre la diferencia de sus raíces :@0.110323:0.495851:0.682334:0.495851:0.682334:0.480181:0.110323:0.480181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cúbicas es igual al cuadrado de la primera raíz, más el producto de las dos :@0.106970:0.512447:0.685614:0.512447:0.685614:0.496777:0.106970:0.496777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces, más el cuadrado de la segunda raíz.:@0.106970:0.529043:0.416517:0.529043:0.416517:0.513374:0.106970:0.513374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.127239:0.553779:0.137355:0.553779:0.137355:0.538207:0.127239:0.538207:0.000000
−:@0.127239:0.573227:0.137355:0.573227:0.137355:0.557654:0.127239:0.557654:0.000000
=:@0.161266:0.562747:0.171383:0.562747:0.171383:0.547174:0.161266:0.547174:0.000000
+:@0.194399:0.562747:0.204516:0.562747:0.204516:0.547174:0.194399:0.547174:0.000000
+:@0.228951:0.562747:0.239068:0.562747:0.239068:0.547174:0.228951:0.547174:0.000000
a:@0.108077:0.553102:0.117346:0.553102:0.117346:0.536741:0.108077:0.536741:0.000000
b:@0.140123:0.553102:0.149392:0.553102:0.149392:0.536741:0.140123:0.536741:0.000000
ab:@0.115153:0.572547:0.149392:0.572547:0.149392:0.556186:0.115153:0.556186:0.000000:0.000000
a:@0.175035:0.562069:0.184304:0.562069:0.184304:0.545708:0.175035:0.545708:0.000000
abb:@0.207652:0.562069:0.251104:0.562069:0.251104:0.545708:0.207652:0.545708:0.000000:0.000000:0.000000
3:@0.117919:0.545450:0.123131:0.545450:0.123131:0.535951:0.117919:0.535951:0.000000
3:@0.149958:0.545450:0.155170:0.545450:0.155170:0.535951:0.149958:0.535951:0.000000
2:@0.184880:0.554419:0.190092:0.554419:0.190092:0.544921:0.184880:0.544921:0.000000
2:@0.251682:0.554419:0.256893:0.554419:0.256893:0.544921:0.251682:0.544921:0.000000
Si por el contrario es la suma, tenemos::@0.106973:0.599015:0.392211:0.599015:0.392211:0.583345:0.106973:0.583345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.126716:0.624568:0.136572:0.624568:0.136572:0.609397:0.126716:0.609397:0.000000
+:@0.126716:0.643516:0.136572:0.643516:0.136572:0.628344:0.126716:0.628344:0.000000
=:@0.159867:0.633305:0.169723:0.633305:0.169723:0.618134:0.159867:0.618134:0.000000
−:@0.192146:0.633305:0.202002:0.633305:0.202002:0.618134:0.192146:0.618134:0.000000
+:@0.225808:0.633305:0.235664:0.633305:0.235664:0.618134:0.225808:0.618134:0.000000
a:@0.108049:0.623908:0.117079:0.623908:0.117079:0.607969:0.108049:0.607969:0.000000
b:@0.139269:0.623908:0.148299:0.623908:0.148299:0.607969:0.139269:0.607969:0.000000
ab:@0.114943:0.642852:0.148299:0.642852:0.148299:0.626913:0.114943:0.626913:0.000000:0.000000
a:@0.173281:0.632645:0.182311:0.632645:0.182311:0.616706:0.173281:0.616706:0.000000
abb:@0.205057:0.632645:0.247390:0.632645:0.247390:0.616706:0.205057:0.616706:0.000000:0.000000:0.000000
3:@0.117637:0.616453:0.122714:0.616453:0.122714:0.607200:0.117637:0.607200:0.000000
3:@0.148850:0.616453:0.153928:0.616453:0.153928:0.607200:0.148850:0.607200:0.000000
2:@0.182868:0.625190:0.187946:0.625190:0.187946:0.615937:0.182868:0.615937:0.000000
2:@0.247948:0.625190:0.253025:0.625190:0.253025:0.615937:0.247948:0.615937:0.000000
Ejemplo 1:@0.095800:0.680401:0.165306:0.680401:0.165306:0.665288:0.095800:0.665288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el cociente:@0.095800:0.714499:0.238557:0.714499:0.238557:0.698829:0.095800:0.698829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.238559:0.730846:0.242595:0.730846:0.242595:0.715177:0.238559:0.715177:0.000000
−:@0.293687:0.706218:0.303804:0.706218:0.303804:0.690645:0.293687:0.690645:0.000000
−:@0.284897:0.725664:0.295014:0.725664:0.295014:0.710091:0.284897:0.710091:0.000000
p:@0.274527:0.705541:0.283796:0.705541:0.283796:0.689179:0.274527:0.689179:0.000000
q r:@0.316100:0.705541:0.336511:0.705541:0.336511:0.689179:0.316100:0.689179:0.000000:0.000000:0.000000
p:@0.272807:0.724986:0.282076:0.724986:0.282076:0.708625:0.272807:0.708625:0.000000
qr:@0.306935:0.724986:0.321437:0.724986:0.321437:0.708625:0.306935:0.708625:0.000000:0.000000
216:@0.246677:0.705541:0.273249:0.705541:0.273249:0.689871:0.246677:0.689871:0.000000:0.000000:0.000000
8:@0.306566:0.705541:0.315559:0.705541:0.315559:0.689871:0.306566:0.689871:0.000000
6:@0.262543:0.724986:0.271535:0.724986:0.271535:0.709316:0.262543:0.709316:0.000000
2:@0.297776:0.724986:0.306769:0.724986:0.306769:0.709316:0.297776:0.709316:0.000000
3:@0.284369:0.697878:0.289581:0.697878:0.289581:0.688797:0.284369:0.688797:0.000000
3 9:@0.325572:0.697878:0.343241:0.697878:0.343241:0.688797:0.325572:0.688797:0.000000:0.000000:0.000000
3:@0.322949:0.717324:0.328161:0.717324:0.328161:0.708242:0.322949:0.708242:0.000000
Solución:@0.095800:0.752745:0.156461:0.752745:0.156461:0.737632:0.095800:0.737632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.123756:0.785005:0.133873:0.785005:0.133873:0.769432:0.123756:0.769432:0.000000
p:@0.111663:0.784327:0.120932:0.784327:0.120932:0.767966:0.111663:0.767966:0.000000
qr:@0.145791:0.784327:0.160298:0.784327:0.160298:0.767966:0.145791:0.767966:0.000000:0.000000
6:@0.101402:0.784327:0.110394:0.784327:0.110394:0.768657:0.101402:0.768657:0.000000
2:@0.136635:0.784327:0.145628:0.784327:0.145628:0.768657:0.136635:0.768657:0.000000
3:@0.161816:0.776666:0.167027:0.776666:0.167027:0.767585:0.161816:0.767585:0.000000
 es la diferencia de los cubos perfectos  216:@0.171187:0.784327:0.488913:0.783070:0.488913:0.767400:0.171187:0.768657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.509351:0.783747:0.519468:0.783747:0.519468:0.768174:0.509351:0.768174:0.000000
p:@0.490189:0.783070:0.499458:0.783070:0.499458:0.766708:0.490189:0.766708:0.000000
q r:@0.531762:0.783070:0.552175:0.783070:0.552175:0.766708:0.531762:0.766708:0.000000:0.000000:0.000000
8:@0.522230:0.783070:0.531223:0.783070:0.531223:0.767400:0.522230:0.767400:0.000000
3:@0.500031:0.775409:0.505243:0.775409:0.505243:0.766327:0.500031:0.766327:0.000000
3 9:@0.541233:0.775409:0.558903:0.775409:0.558903:0.766327:0.541233:0.766327:0.000000:0.000000:0.000000
Por lo tanto::@0.095800:0.814086:0.184124:0.814086:0.184124:0.798416:0.095800:0.798416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.146896:0.846881:0.157013:0.846881:0.157013:0.831309:0.146896:0.831309:0.000000
−:@0.138106:0.866327:0.148223:0.866327:0.148223:0.850754:0.138106:0.850754:0.000000
=:@0.201405:0.855830:0.211522:0.855830:0.211522:0.840257:0.201405:0.840257:0.000000
+:@0.253242:0.855830:0.263359:0.855830:0.263359:0.840257:0.253242:0.840257:0.000000
+:@0.295736:0.855830:0.305853:0.855830:0.305853:0.840257:0.295736:0.840257:0.000000
p:@0.127750:0.846190:0.137019:0.846190:0.137019:0.829829:0.127750:0.829829:0.000000
q r:@0.169322:0.846190:0.189740:0.846190:0.189740:0.829829:0.169322:0.829829:0.000000:0.000000:0.000000
p:@0.126036:0.865635:0.135305:0.865635:0.135305:0.849274:0.126036:0.849274:0.000000
qr:@0.160164:0.865635:0.174666:0.865635:0.174666:0.849274:0.160164:0.849274:0.000000:0.000000
p:@0.233874:0.855138:0.243143:0.855138:0.243143:0.838777:0.233874:0.838777:0.000000
p:@0.283666:0.855138:0.292935:0.855138:0.292935:0.838777:0.283666:0.838777:0.000000
qr:@0.319268:0.855138:0.339889:0.855138:0.339889:0.838777:0.319268:0.838777:0.000000:0.000000
216:@0.099924:0.846176:0.126497:0.846176:0.126497:0.830506:0.099924:0.830506:0.000000:0.000000:0.000000
8:@0.159814:0.846176:0.168806:0.846176:0.168806:0.830506:0.159814:0.830506:0.000000
6:@0.115790:0.865622:0.124783:0.865622:0.124783:0.849952:0.115790:0.849952:0.000000
2:@0.151024:0.865622:0.160016:0.865622:0.160016:0.849952:0.151024:0.849952:0.000000
36:@0.214839:0.855124:0.232621:0.855124:0.232621:0.839455:0.214839:0.839455:0.000000:0.000000
12:@0.264999:0.855124:0.282781:0.855124:0.282781:0.839455:0.264999:0.839455:0.000000:0.000000
4:@0.309391:0.855124:0.318383:0.855124:0.318383:0.839455:0.309391:0.839455:0.000000
3:@0.137577:0.838542:0.142788:0.838542:0.142788:0.829460:0.137577:0.829460:0.000000
3 9:@0.178779:0.838542:0.196454:0.838542:0.196454:0.829460:0.178779:0.829460:0.000000:0.000000:0.000000
3:@0.176162:0.857987:0.181374:0.857987:0.181374:0.848905:0.176162:0.848905:0.000000
2:@0.243693:0.847500:0.248905:0.847500:0.248905:0.838418:0.243693:0.838418:0.000000
2 6:@0.328714:0.847500:0.346801:0.847500:0.346801:0.838418:0.328714:0.838418:0.000000:0.000000:0.000000
La diferencia de :@0.733044:0.161758:0.841717:0.161758:0.841717:0.147513:0.733044:0.147513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos potencias de :@0.733044:0.176846:0.850728:0.176846:0.850728:0.162600:0.733044:0.162600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponentes iguales, ya :@0.733044:0.191933:0.887799:0.191933:0.887799:0.177688:0.733044:0.177688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sea pares o impares, :@0.733044:0.207021:0.870529:0.207021:0.870529:0.192776:0.733044:0.192776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre es divisible :@0.733044:0.222109:0.866509:0.222109:0.866509:0.207863:0.733044:0.207863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la diferencia de :@0.733044:0.237196:0.876593:0.237196:0.876593:0.222951:0.733044:0.222951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus bases.:@0.733044:0.252284:0.798310:0.252284:0.798310:0.238039:0.733044:0.238039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.756065:0.276323:0.765372:0.276323:0.765372:0.261996:0.756065:0.261996:0.000000
+:@0.756065:0.294213:0.765372:0.294213:0.765372:0.279886:0.756065:0.279886:0.000000
=:@0.789006:0.284556:0.798313:0.284556:0.798313:0.270228:0.789006:0.270228:0.000000
−:@0.819640:0.284556:0.828948:0.284556:0.828948:0.270228:0.819640:0.270228:0.000000
+:@0.864770:0.284556:0.874078:0.284556:0.874078:0.270228:0.864770:0.270228:0.000000
x:@0.738145:0.275687:0.745011:0.275687:0.745011:0.260635:0.738145:0.260635:0.000000
y:@0.769255:0.275687:0.776138:0.275687:0.776138:0.260635:0.769255:0.260635:0.000000
xy:@0.745605:0.293577:0.776138:0.293577:0.776138:0.278524:0.745605:0.278524:0.000000:0.000000
x:@0.802670:0.283919:0.809536:0.283919:0.809536:0.268867:0.802670:0.268867:0.000000
x y:@0.832813:0.283919:0.854507:0.283941:0.854507:0.268889:0.832813:0.268867:0.000000:0.000000:0.000000
y:@0.877970:0.283941:0.884853:0.283941:0.884853:0.268889:0.877970:0.268889:0.000000
4:@0.746915:0.268650:0.751710:0.268650:0.751710:0.260296:0.746915:0.260296:0.000000
4:@0.778032:0.268650:0.782826:0.268650:0.782826:0.260296:0.778032:0.260296:0.000000
3:@0.811064:0.276895:0.815859:0.276895:0.815859:0.268540:0.811064:0.268540:0.000000
2:@0.841218:0.276895:0.846013:0.276895:0.846013:0.268540:0.841218:0.268540:0.000000
2:@0.856003:0.276892:0.860798:0.276892:0.860798:0.268537:0.856003:0.268537:0.000000
3:@0.886344:0.276892:0.891138:0.276892:0.891138:0.268537:0.886344:0.268537:0.000000
La suma de potencias :@0.733044:0.321156:0.881703:0.321156:0.881703:0.306911:0.733044:0.306911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de exponentes iguales :@0.733044:0.336244:0.887332:0.336244:0.887332:0.321999:0.733044:0.321999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impares siempre es :@0.733044:0.351331:0.865353:0.351331:0.865353:0.337086:0.733044:0.337086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible, exactamente, :@0.733044:0.366419:0.887615:0.366419:0.887615:0.352174:0.733044:0.352174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la suma de sus :@0.733044:0.381507:0.872809:0.381507:0.872809:0.367261:0.733044:0.367261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bases.:@0.733044:0.396594:0.773248:0.396594:0.773248:0.382349:0.733044:0.382349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.748503:0.415387:0.755026:0.415387:0.755026:0.405345:0.748503:0.405345:0.000000
−:@0.748503:0.427925:0.755026:0.427925:0.755026:0.417884:0.748503:0.417884:0.000000
=:@0.770913:0.421157:0.777436:0.421157:0.777436:0.411115:0.770913:0.411115:0.000000
−:@0.793061:0.421157:0.799584:0.421157:0.799584:0.411115:0.793061:0.411115:0.000000
+:@0.819855:0.421157:0.826378:0.421157:0.826378:0.411115:0.819855:0.411115:0.000000
−:@0.851485:0.421157:0.858009:0.421157:0.858009:0.411115:0.851485:0.411115:0.000000
+:@0.877305:0.421157:0.883829:0.421157:0.883829:0.411115:0.877305:0.411115:0.000000
x:@0.736609:0.414941:0.741421:0.414941:0.741421:0.404391:0.736609:0.404391:0.000000
y:@0.757735:0.414941:0.762560:0.414941:0.762560:0.404391:0.757735:0.404391:0.000000
xy:@0.741172:0.427479:0.762571:0.427479:0.762571:0.416930:0.741172:0.416930:0.000000:0.000000
x:@0.780502:0.420711:0.785314:0.420711:0.785314:0.410161:0.780502:0.410161:0.000000
x yx y:@0.802305:0.420711:0.844297:0.420711:0.844297:0.410161:0.802305:0.410161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.860742:0.420711:0.870259:0.420727:0.870259:0.410177:0.860742:0.410161:0.000000:0.000000
y:@0.886561:0.420727:0.891385:0.420727:0.891385:0.410177:0.886561:0.410177:0.000000
5:@0.742496:0.410010:0.745856:0.410010:0.745856:0.404155:0.742496:0.404155:0.000000
5:@0.763629:0.410010:0.766990:0.410010:0.766990:0.404155:0.763629:0.404155:0.000000
4:@0.786650:0.415789:0.790011:0.415789:0.790011:0.409933:0.786650:0.409933:0.000000
3:@0.808183:0.415789:0.811544:0.415789:0.811544:0.409933:0.808183:0.409933:0.000000
2:@0.834992:0.415789:0.838352:0.415789:0.838352:0.409933:0.834992:0.409933:0.000000
2:@0.845355:0.415789:0.848716:0.415789:0.848716:0.409933:0.845355:0.409933:0.000000
3:@0.871308:0.415786:0.874669:0.415786:0.874669:0.409931:0.871308:0.409931:0.000000
4:@0.892710:0.415786:0.896071:0.415786:0.896071:0.409931:0.892710:0.409931:0.000000
La diferencia de :@0.733044:0.454395:0.841717:0.454395:0.841717:0.440150:0.733044:0.440150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencias de :@0.733044:0.469482:0.822786:0.469482:0.822786:0.455237:0.733044:0.455237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponentes iguales :@0.733044:0.484570:0.866425:0.484570:0.866425:0.470325:0.733044:0.470325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pares siempre es :@0.733044:0.499658:0.848131:0.499658:0.848131:0.485412:0.733044:0.485412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible, exactamente, :@0.733044:0.514745:0.887615:0.514745:0.887615:0.500500:0.733044:0.500500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la suma de sus :@0.733044:0.529833:0.872809:0.529833:0.872809:0.515588:0.733044:0.515588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bases.:@0.733044:0.544921:0.773248:0.544921:0.773248:0.530675:0.733044:0.530675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.736102:0.568170:0.743138:0.568170:0.747226:0.554224:0.740190:0.554224:0.000000
y:@0.766246:0.568170:0.773463:0.568170:0.777551:0.554224:0.770334:0.554224:0.000000
xy:@0.743510:0.585476:0.773277:0.585476:0.777365:0.571530:0.747598:0.571530:0.000000:0.000000
x:@0.798678:0.575752:0.805714:0.575752:0.809802:0.561806:0.802766:0.561806:0.000000
x y:@0.827248:0.575752:0.849781:0.575759:0.853870:0.561813:0.831336:0.561806:0.000000:0.000000:0.000000
y:@0.872299:0.575759:0.879516:0.575759:0.883604:0.561813:0.876388:0.561813:0.000000
4:@0.746834:0.561351:0.751473:0.561351:0.751473:0.553269:0.746834:0.553269:0.000000
4:@0.777678:0.561351:0.782316:0.561351:0.782316:0.553269:0.777678:0.553269:0.000000
3:@0.809034:0.568942:0.813672:0.568942:0.813672:0.560859:0.809034:0.560859:0.000000
2:@0.837596:0.568942:0.842234:0.568942:0.842234:0.560859:0.837596:0.560859:0.000000
2:@0.853624:0.568939:0.858263:0.568939:0.858263:0.560857:0.853624:0.560857:0.000000
3:@0.883355:0.568939:0.887994:0.568939:0.887994:0.560857:0.883355:0.560857:0.000000
−:@0.755361:0.568773:0.764365:0.568773:0.764365:0.554913:0.755361:0.554913:0.000000
+:@0.755181:0.586080:0.764185:0.586080:0.764185:0.572220:0.755181:0.572220:0.000000
=:@0.787982:0.576355:0.796986:0.576355:0.796986:0.562495:0.787982:0.562495:0.000000
−:@0.817011:0.576355:0.826015:0.576355:0.826015:0.562495:0.817011:0.562495:0.000000
+:@0.861408:0.576355:0.870412:0.576355:0.870412:0.562495:0.861408:0.562495:0.000000
Una suma de :@0.733044:0.612587:0.824830:0.612587:0.824830:0.598342:0.733044:0.598342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencias iguales pares :@0.733044:0.627675:0.892240:0.627675:0.892240:0.613430:0.733044:0.613430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nunca será divisible :@0.733044:0.642762:0.867264:0.642762:0.867264:0.628517:0.733044:0.628517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exactamente entre la :@0.733044:0.657850:0.877749:0.657850:0.877749:0.643605:0.733044:0.643605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma de sus bases; :@0.733044:0.672938:0.863210:0.672938:0.863210:0.658692:0.733044:0.658692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tampoco lo será la :@0.733044:0.688025:0.859307:0.688025:0.859307:0.673780:0.733044:0.673780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia de potencias :@0.733044:0.703113:0.891771:0.703113:0.891771:0.688868:0.733044:0.688868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales impares si se :@0.733044:0.718201:0.872087:0.718201:0.872087:0.703955:0.733044:0.703955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divide entre la suma de :@0.733044:0.733288:0.892341:0.733288:0.892341:0.719043:0.733044:0.719043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus bases.:@0.733044:0.748376:0.798310:0.748376:0.798310:0.734131:0.733044:0.734131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.763096:0.136731:0.885177:0.136731:0.885177:0.119831:0.763096:0.119831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000