﻿97:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
f) :@0.545667:0.106930:0.562491:0.106930:0.562491:0.090029:0.545667:0.090029:0.000000:0.000000:0.000000
–3,0 ,:@0.614715:0.103158:0.657544:0.103158:0.657544:0.087488:0.614715:0.087488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.690983:0.103158:0.703719:0.103158:0.703719:0.087488:0.690983:0.087488:0.000000:0.000000
26:@0.706540:0.094638:0.724323:0.094638:0.724323:0.078969:0.706540:0.078969:0.000000:0.000000
5:@0.711294:0.114084:0.720287:0.114084:0.720287:0.098414:0.711294:0.098414:0.000000
,:@0.734697:0.103158:0.737904:0.103158:0.737904:0.087488:0.734697:0.087488:0.000000
0,0:@0.772548:0.103158:0.795623:0.103158:0.795623:0.087488:0.772548:0.087488:0.000000:0.000000:0.000000
A:@0.582983:0.103158:0.592878:0.103158:0.592878:0.087765:0.582983:0.087765:0.000000
B:@0.658886:0.103158:0.667731:0.103158:0.667731:0.087765:0.658886:0.087765:0.000000
C:@0.739245:0.103158:0.749159:0.103158:0.749159:0.087765:0.739245:0.087765:0.000000
:@0.582245:0.092011:0.589801:0.092011:0.589801:0.075262:0.582245:0.075262:0.000000
:@0.584125:0.092011:0.515980:0.092011:0.515980:0.075262:0.584125:0.075262:0.000000
:@0.659826:0.092011:0.591680:0.092011:0.591680:0.075262:0.659826:0.075262:0.000000
:@0.739975:0.092011:0.671830:0.092011:0.671830:0.075262:0.739975:0.075262:0.000000
:@0.742326:0.092011:0.749882:0.092011:0.749882:0.075262:0.742326:0.075262:0.000000
(:@0.607910:0.106290:0.583991:0.106290:0.583991:0.086356:0.607910:0.086356:0.000000
):@0.646754:0.106290:0.622835:0.106290:0.622835:0.086356:0.646754:0.086356:0.000000
(:@0.766115:0.106290:0.742196:0.106290:0.742196:0.086356:0.766115:0.086356:0.000000
):@0.796171:0.106290:0.772251:0.106290:0.772251:0.086356:0.796171:0.086356:0.000000
=:@0.595240:0.103835:0.529435:0.103835:0.529435:0.088263:0.595240:0.088263:0.000000
=:@0.671153:0.103835:0.605348:0.103835:0.605348:0.088263:0.671153:0.088263:0.000000
⎛:@0.683398:0.094210:0.690474:0.094210:0.690474:0.078637:0.683398:0.078637:0.000000
⎝:@0.683398:0.114360:0.690474:0.114360:0.690474:0.098787:0.683398:0.098787:0.000000
⎜:@0.683398:0.105094:0.690474:0.105094:0.690474:0.089521:0.683398:0.089521:0.000000
⎞:@0.726685:0.094210:0.733761:0.094210:0.733761:0.078637:0.726685:0.078637:0.000000
⎠:@0.726685:0.114360:0.733761:0.114360:0.733761:0.098787:0.726685:0.098787:0.000000
⎟:@0.726685:0.105094:0.733761:0.105094:0.733761:0.089521:0.726685:0.089521:0.000000
=:@0.753442:0.103835:0.763558:0.103835:0.763558:0.088263:0.753442:0.088263:0.000000
 :@0.545667:0.121043:0.547600:0.121043:0.547600:0.111505:0.545667:0.111505:0.000000
 :@0.887937:0.326516:0.889870:0.326516:0.889870:0.316978:0.887937:0.316978:0.000000
c) :@0.153344:0.107636:0.170979:0.107636:0.170979:0.090736:0.153344:0.090736:0.000000:0.000000:0.000000
–3,–2,:@0.222392:0.106379:0.274432:0.106379:0.274432:0.089990:0.222392:0.089990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,4 ,:@0.307510:0.106379:0.351451:0.106379:0.351451:0.089990:0.307510:0.089990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,2:@0.386095:0.106379:0.408801:0.106379:0.408801:0.089990:0.386095:0.089990:0.000000:0.000000:0.000000
A:@0.190673:0.106379:0.200569:0.106379:0.200569:0.090018:0.190673:0.090018:0.000000
B:@0.275791:0.106379:0.284636:0.106379:0.284636:0.090018:0.275791:0.090018:0.000000
C:@0.352800:0.106379:0.362714:0.106379:0.362714:0.090018:0.352800:0.090018:0.000000
:@0.189934:0.095227:0.199369:0.095227:0.199369:0.078478:0.189934:0.078478:0.000000:0.000000
:@0.276729:0.095227:0.284284:0.095227:0.284284:0.078478:0.276729:0.078478:0.000000
:@0.353535:0.095227:0.363449:0.095227:0.363449:0.078478:0.353535:0.078478:0.000000:0.000000
(:@0.215587:0.109511:0.221724:0.109511:0.221724:0.089577:0.215587:0.089577:0.000000
):@0.263647:0.109511:0.269783:0.109511:0.269783:0.089577:0.263647:0.089577:0.000000
(:@0.300705:0.109511:0.306841:0.109511:0.306841:0.089577:0.300705:0.089577:0.000000
):@0.340656:0.109511:0.346792:0.109511:0.346792:0.089577:0.340656:0.089577:0.000000
( ):@0.379655:0.109511:0.415110:0.109511:0.415110:0.089577:0.379655:0.089577:0.000000:0.000000:0.000000
=:@0.202918:0.107057:0.213034:0.107057:0.213034:0.091484:0.202918:0.091484:0.000000
=:@0.288035:0.107057:0.298152:0.107057:0.298152:0.091484:0.288035:0.091484:0.000000
=:@0.366979:0.107057:0.377096:0.107057:0.377096:0.091484:0.366979:0.091484:0.000000
 :@0.153344:0.353239:0.155278:0.353239:0.155278:0.343700:0.153344:0.343700:0.000000
d) :@0.153344:0.403380:0.173412:0.403380:0.173412:0.386479:0.153344:0.386479:0.000000:0.000000:0.000000
0,1,:@0.222027:0.402123:0.252193:0.402123:0.252193:0.385734:0.222027:0.385734:0.000000:0.000000:0.000000:0.000000
3,4:@0.284902:0.402123:0.307923:0.402123:0.307923:0.385734:0.284902:0.385734:0.000000:0.000000:0.000000
6,1:@0.349717:0.402123:0.371641:0.402123:0.371641:0.385734:0.349717:0.385734:0.000000:0.000000:0.000000
A:@0.190663:0.402123:0.200559:0.402123:0.200559:0.385761:0.190663:0.385761:0.000000
B:@0.253538:0.402123:0.262384:0.402123:0.262384:0.385761:0.253538:0.385761:0.000000
C:@0.316045:0.402123:0.325959:0.402123:0.325959:0.385761:0.316045:0.385761:0.000000
:@0.189934:0.390970:0.199369:0.390970:0.199369:0.374222:0.189934:0.374222:0.000000:0.000000
:@0.254487:0.390970:0.262042:0.390970:0.262042:0.374222:0.254487:0.374222:0.000000
:@0.316772:0.390970:0.326686:0.390970:0.326686:0.374222:0.316772:0.374222:0.000000:0.000000
( ):@0.215587:0.405254:0.247541:0.405254:0.247541:0.385321:0.215587:0.385321:0.000000:0.000000:0.000000
(:@0.278463:0.405254:0.284599:0.405254:0.284599:0.385321:0.278463:0.385321:0.000000
):@0.308831:0.405254:0.314968:0.405254:0.314968:0.385321:0.308831:0.385321:0.000000
( ):@0.342906:0.405254:0.375228:0.405254:0.375228:0.385321:0.342906:0.385321:0.000000:0.000000:0.000000
=:@0.202918:0.402800:0.213034:0.402800:0.213034:0.387227:0.202918:0.387227:0.000000
=:@0.265793:0.402800:0.275909:0.402800:0.275909:0.387227:0.265793:0.387227:0.000000
=:@0.330234:0.402800:0.340351:0.402800:0.340351:0.387227:0.330234:0.387227:0.000000
 :@0.153344:0.606592:0.155278:0.606592:0.155278:0.597053:0.153344:0.597053:0.000000
e) :@0.153344:0.654768:0.172214:0.654768:0.172214:0.637868:0.153344:0.637868:0.000000:0.000000:0.000000
3,2 ,:@0.222027:0.653511:0.255276:0.653511:0.255276:0.637841:0.222027:0.637841:0.000000:0.000000:0.000000:0.000000:0.000000
11 19:@0.289030:0.644992:0.329534:0.644992:0.329534:0.629322:0.289030:0.629322:0.000000:0.000000:0.000000:0.000000:0.000000
2 3:@0.292642:0.664437:0.326088:0.664437:0.326088:0.648767:0.292642:0.648767:0.000000:0.000000:0.000000
,:@0.306886:0.653511:0.310093:0.653511:0.310093:0.637841:0.306886:0.637841:0.000000
,:@0.339927:0.653511:0.343133:0.653511:0.343133:0.637841:0.339927:0.637841:0.000000
8,2:@0.377777:0.653511:0.400853:0.653511:0.400853:0.637841:0.377777:0.637841:0.000000:0.000000:0.000000
A:@0.190682:0.653511:0.200577:0.653511:0.200577:0.638118:0.190682:0.638118:0.000000
B:@0.256643:0.653511:0.265489:0.653511:0.265489:0.638118:0.256643:0.638118:0.000000
C:@0.344488:0.653511:0.354402:0.653511:0.354402:0.638118:0.344488:0.638118:0.000000
:@0.189945:0.642364:0.197500:0.642364:0.197500:0.625615:0.189945:0.625615:0.000000
:@0.191824:0.642364:0.133630:0.642364:0.133630:0.625615:0.191824:0.625615:0.000000
:@0.257574:0.642364:0.199379:0.642364:0.199379:0.625615:0.257574:0.625615:0.000000
:@0.345210:0.642364:0.287016:0.642364:0.287016:0.625615:0.345210:0.625615:0.000000
:@0.347575:0.642364:0.355130:0.642364:0.355130:0.625615:0.347575:0.625615:0.000000
(:@0.215587:0.656643:0.192829:0.656643:0.192829:0.636710:0.215587:0.636710:0.000000
):@0.244482:0.656643:0.221724:0.656643:0.221724:0.636710:0.244482:0.636710:0.000000
(:@0.371338:0.656643:0.348580:0.656643:0.348580:0.636710:0.371338:0.636710:0.000000
):@0.401021:0.656643:0.378263:0.656643:0.378263:0.636710:0.401021:0.636710:0.000000
=:@0.202918:0.654189:0.147063:0.654189:0.147063:0.638616:0.202918:0.638616:0.000000
=:@0.268889:0.654189:0.213034:0.654189:0.213034:0.638616:0.268889:0.638616:0.000000
⎛:@0.281124:0.644563:0.288201:0.644563:0.288201:0.628990:0.281124:0.628990:0.000000
⎝:@0.281124:0.664714:0.288201:0.664714:0.288201:0.649141:0.281124:0.649141:0.000000
⎜:@0.281124:0.655447:0.288201:0.655447:0.288201:0.639874:0.281124:0.639874:0.000000
⎞:@0.331911:0.644563:0.338987:0.644563:0.338987:0.628990:0.331911:0.628990:0.000000
⎠:@0.331911:0.664714:0.338987:0.664714:0.338987:0.649141:0.331911:0.649141:0.000000
⎟:@0.331911:0.655447:0.338987:0.655447:0.338987:0.639874:0.331911:0.639874:0.000000
=:@0.358668:0.654189:0.368785:0.654189:0.368785:0.638616:0.358668:0.638616:0.000000
 :@0.153344:0.900372:0.155278:0.900372:0.155278:0.890834:0.153344:0.890834:0.000000
4. :@0.512425:0.361806:0.531166:0.361806:0.531166:0.344670:0.512425:0.344670:0.000000:0.000000:0.000000
Determina:@0.545668:0.361806:0.627358:0.361806:0.627358:0.345182:0.545668:0.345182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, en forma analítica, si los siguientes :@0.627358:0.361806:0.887787:0.361806:0.887787:0.345417:0.627358:0.345417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores son ortogonales.:@0.545668:0.378402:0.734179:0.378402:0.734179:0.362013:0.545668:0.362013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545668:0.427458:0.564391:0.427458:0.564391:0.410558:0.545668:0.410558:0.000000:0.000000:0.000000
–3,3 ,:@0.614715:0.428365:0.656767:0.428365:0.656767:0.411976:0.614715:0.411976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,5:@0.689476:0.428365:0.711760:0.428365:0.711760:0.411976:0.689476:0.411976:0.000000:0.000000:0.000000
A:@0.582991:0.428365:0.592887:0.428365:0.592887:0.412004:0.582991:0.412004:0.000000
B:@0.658120:0.428365:0.666966:0.428365:0.666966:0.412004:0.658120:0.412004:0.000000
:@0.582254:0.417218:0.591689:0.417218:0.591689:0.400469:0.582254:0.400469:0.000000:0.000000
:@0.659042:0.417218:0.666597:0.417218:0.666597:0.400469:0.659042:0.400469:0.000000
(:@0.607910:0.431498:0.614047:0.431498:0.614047:0.411565:0.607910:0.411565:0.000000
):@0.645963:0.431498:0.652100:0.431498:0.652100:0.411565:0.645963:0.411565:0.000000
( ):@0.683035:0.431498:0.717660:0.431498:0.717660:0.411565:0.683035:0.411565:0.000000:0.000000:0.000000
=:@0.595240:0.429043:0.605357:0.429043:0.605357:0.413470:0.595240:0.413470:0.000000
=:@0.670370:0.429043:0.680487:0.429043:0.680487:0.413470:0.670370:0.413470:0.000000
 :@0.545667:0.515882:0.547600:0.515882:0.547600:0.506344:0.545667:0.506344:0.000000
b) :@0.545667:0.549678:0.565697:0.549678:0.565697:0.532778:0.545667:0.532778:0.000000:0.000000:0.000000
–1,4 ,:@0.614715:0.553207:0.656348:0.553207:0.656348:0.536818:0.614715:0.536818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6,2:@0.689426:0.553207:0.712494:0.553207:0.712494:0.536818:0.689426:0.536818:0.000000:0.000000:0.000000
A:@0.582991:0.553207:0.592887:0.553207:0.592887:0.536846:0.582991:0.536846:0.000000
B:@0.657697:0.553207:0.666542:0.553207:0.666542:0.536846:0.657697:0.536846:0.000000
:@0.582254:0.542060:0.591689:0.542060:0.591689:0.525312:0.582254:0.525312:0.000000:0.000000
:@0.658636:0.542060:0.666192:0.542060:0.666192:0.525312:0.658636:0.525312:0.000000
(:@0.607910:0.556340:0.614047:0.556340:0.614047:0.536407:0.607910:0.536407:0.000000
):@0.645558:0.556340:0.651694:0.556340:0.651694:0.536407:0.645558:0.536407:0.000000
(:@0.682616:0.556340:0.688752:0.556340:0.688752:0.536407:0.682616:0.536407:0.000000
):@0.712671:0.556340:0.718808:0.556340:0.718808:0.536407:0.712671:0.536407:0.000000
=:@0.595240:0.553885:0.605357:0.553885:0.605357:0.538312:0.595240:0.538312:0.000000
=:@0.669946:0.553885:0.680063:0.553885:0.680063:0.538312:0.669946:0.538312:0.000000
 :@0.545667:0.638109:0.547600:0.638109:0.547600:0.628571:0.545667:0.628571:0.000000
c) :@0.545667:0.683772:0.563302:0.683772:0.563302:0.666871:0.545667:0.666871:0.000000:0.000000:0.000000
– ,:@0.615449:0.685029:0.642961:0.685029:0.642961:0.669359:0.615449:0.669359:0.000000:0.000000:0.000000
9 20:@0.627593:0.676510:0.663563:0.676510:0.663563:0.660840:0.627593:0.660840:0.000000:0.000000:0.000000:0.000000
2 3:@0.627758:0.695955:0.659528:0.695955:0.659528:0.680285:0.627758:0.680285:0.000000:0.000000:0.000000
,:@0.673938:0.685029:0.677144:0.685029:0.677144:0.669359:0.673938:0.669359:0.000000
32 18:@0.712046:0.676510:0.755259:0.676510:0.755259:0.660840:0.712046:0.660840:0.000000:0.000000:0.000000:0.000000:0.000000
9 4:@0.716285:0.695955:0.751592:0.695955:0.751592:0.680285:0.716285:0.680285:0.000000:0.000000:0.000000
,:@0.732612:0.685029:0.735818:0.685029:0.735818:0.669359:0.732612:0.669359:0.000000
A:@0.582979:0.685029:0.592875:0.685029:0.592875:0.669636:0.582979:0.669636:0.000000
B:@0.678471:0.685029:0.687317:0.685029:0.687317:0.669636:0.678471:0.669636:0.000000
:@0.582242:0.673882:0.589797:0.673882:0.589797:0.657133:0.582242:0.657133:0.000000
:@0.584122:0.673882:0.496388:0.673882:0.496388:0.657133:0.584122:0.657133:0.000000
:@0.679402:0.673882:0.591668:0.673882:0.591668:0.657133:0.679402:0.657133:0.000000
=⎜:@0.595215:0.685707:0.614546:0.686965:0.614546:0.671392:0.595215:0.670134:0.000000:0.000000
⎛:@0.607470:0.676081:0.614546:0.676081:0.614546:0.660508:0.607470:0.660508:0.000000
⎝:@0.607470:0.696232:0.614546:0.696232:0.614546:0.680659:0.607470:0.680659:0.000000
⎞:@0.665904:0.676081:0.672980:0.676081:0.672980:0.660508:0.665904:0.660508:0.000000
⎠:@0.665904:0.696232:0.672980:0.696232:0.672980:0.680659:0.665904:0.680659:0.000000
⎟ =⎜:@0.665904:0.686965:0.710056:0.686965:0.710056:0.671392:0.665904:0.671392:0.000000:0.000000:0.000000:0.000000
⎛:@0.702980:0.676081:0.710056:0.676081:0.710056:0.660508:0.702980:0.660508:0.000000
⎝:@0.702980:0.696232:0.710056:0.696232:0.710056:0.680659:0.702980:0.680659:0.000000
⎞:@0.757636:0.676081:0.764713:0.676081:0.764713:0.660508:0.757636:0.660508:0.000000
⎠:@0.757636:0.696232:0.764713:0.696232:0.764713:0.680659:0.757636:0.680659:0.000000
⎟:@0.757636:0.686965:0.764713:0.686965:0.764713:0.671392:0.757636:0.671392:0.000000
 :@0.545667:0.772203:0.547600:0.772203:0.547600:0.762665:0.545667:0.762665:0.000000
d) :@0.545667:0.808512:0.565734:0.808512:0.565734:0.791612:0.545667:0.791612:0.000000:0.000000:0.000000
:@0.582257:0.797360:0.591692:0.797360:0.591692:0.780612:0.582257:0.780612:0.000000:0.000000
:@0.637798:0.797360:0.645353:0.797360:0.645353:0.780612:0.637798:0.780612:0.000000
5,1,:@0.600110:0.808512:0.629484:0.808512:0.629484:0.792124:0.600110:0.792124:0.000000:0.000000:0.000000:0.000000
..:@0.630424:0.808512:0.636671:0.808512:0.636671:0.792124:0.630424:0.792124:0.000000:0.000000
1,–5:@0.652832:0.808512:0.682390:0.808512:0.682390:0.792124:0.652832:0.792124:0.000000:0.000000:0.000000:0.000000
( ) (:@0.593671:0.811644:0.653676:0.811644:0.653676:0.791711:0.593671:0.791711:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.682147:0.811644:0.688283:0.811644:0.688283:0.791711:0.682147:0.791711:0.000000
A:@0.582991:0.808512:0.592887:0.808512:0.592887:0.792151:0.582991:0.792151:0.000000
B:@0.636855:0.808512:0.645700:0.808512:0.645700:0.792151:0.636855:0.792151:0.000000
 :@0.545667:0.896944:0.547600:0.896944:0.547600:0.887405:0.545667:0.887405:0.000000
⋅=:@0.623289:0.472750:0.652036:0.472750:0.652036:0.457177:0.623289:0.457177:0.000000:0.000000
0:@0.654597:0.472073:0.663590:0.472073:0.663590:0.455684:0.654597:0.455684:0.000000
sonortogonales.:@0.610887:0.492818:0.728677:0.492818:0.728677:0.476429:0.610887:0.476429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.636538:0.492818:0.639745:0.492818:0.639745:0.476429:0.636538:0.476429:0.000000
:@0.611249:0.460922:0.638172:0.460922:0.638172:0.444173:0.611249:0.444173:0.000000:0.000000:0.000000
AB:@0.611981:0.472073:0.638517:0.472073:0.638517:0.455711:0.611981:0.455711:0.000000:0.000000
⋅=:@0.622451:0.595434:0.651198:0.595434:0.651198:0.579861:0.622451:0.579861:0.000000:0.000000
2:@0.653760:0.594756:0.662752:0.594756:0.662752:0.578367:0.653760:0.578367:0.000000
no sonortogonales.:@0.608888:0.615502:0.748883:0.615502:0.748883:0.599113:0.608888:0.599113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.628053:0.615502:0.631260:0.615502:0.631260:0.599113:0.628053:0.599113:0.000000
.:@0.656745:0.615502:0.659951:0.615502:0.659951:0.599113:0.656745:0.599113:0.000000
:@0.610411:0.583604:0.637334:0.583604:0.637334:0.566855:0.610411:0.566855:0.000000:0.000000:0.000000
AB:@0.611143:0.594756:0.637679:0.594756:0.637679:0.578395:0.611143:0.578395:0.000000:0.000000
⋅=:@0.622451:0.730670:0.651198:0.730670:0.651198:0.715097:0.622451:0.715097:0.000000:0.000000
14:@0.652599:0.729993:0.670382:0.729993:0.670382:0.713604:0.652599:0.713604:0.000000:0.000000
no sonortogonales.:@0.608888:0.750738:0.748883:0.750738:0.748883:0.734349:0.608888:0.734349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.628053:0.750738:0.631260:0.750738:0.631260:0.734349:0.628053:0.734349:0.000000
.:@0.656745:0.750738:0.659951:0.750738:0.659951:0.734349:0.656745:0.734349:0.000000
:@0.610411:0.718842:0.637334:0.718842:0.637334:0.702093:0.610411:0.702093:0.000000:0.000000:0.000000
AB:@0.611143:0.729993:0.637679:0.729993:0.637679:0.713631:0.611143:0.713631:0.000000:0.000000
β:@0.335872:0.331883:0.345989:0.331883:0.350554:0.316311:0.340437:0.316311:0.000000
α:@0.242791:0.354476:0.254418:0.354476:0.258983:0.338903:0.247356:0.338903:0.000000
γ:@0.334192:0.354476:0.341765:0.354476:0.346330:0.338903:0.338757:0.338903:0.000000
=:@0.257457:0.331883:0.267573:0.331883:0.267573:0.316311:0.257457:0.316311:0.000000
=:@0.351640:0.331883:0.361757:0.331883:0.361757:0.316311:0.351640:0.316311:0.000000
=:@0.259705:0.354482:0.269822:0.354482:0.269822:0.338909:0.259705:0.338909:0.000000
=:@0.347660:0.354482:0.357777:0.354482:0.357777:0.338909:0.347660:0.338909:0.000000
17,79:@0.268974:0.331206:0.309220:0.331206:0.309220:0.314817:0.268974:0.314817:0.000000:0.000000:0.000000:0.000000:0.000000
.........:@0.309017:0.331206:0.336548:0.331206:0.336548:0.314817:0.309017:0.314817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.341482:0.327434:0.347010:0.327434:0.347010:0.311045:0.341482:0.311045:0.000000
60,46:@0.364672:0.331206:0.406061:0.331206:0.406061:0.314817:0.364672:0.314817:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ 68,2:@0.249020:0.353210:0.304598:0.353804:0.304598:0.337416:0.249020:0.336821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.........:@0.308486:0.353804:0.336017:0.353804:0.336017:0.337416:0.308486:0.337416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ 51,34:@0.338689:0.353210:0.397879:0.353804:0.397879:0.337416:0.338689:0.336821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.244763:0.331206:0.253535:0.331206:0.253535:0.314845:0.244763:0.314845:0.000000
:@0.406344:0.324048:0.410615:0.324048:0.410615:0.314342:0.406344:0.314342:0.000000
:@0.304521:0.346641:0.214769:0.346641:0.214769:0.336934:0.304521:0.336934:0.000000
:@0.398545:0.346641:0.308793:0.346641:0.308793:0.336934:0.398545:0.336934:0.000000
B:@0.287036:0.144935:0.292958:0.144935:0.292958:0.134506:0.287036:0.134506:0.000000
α =68,2°:@0.291059:0.174569:0.329510:0.174569:0.329510:0.164139:0.291059:0.164139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
γ = 51,34°:@0.287412:0.263275:0.333005:0.263275:0.333005:0.252846:0.287412:0.252846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.373098:0.220880:0.378821:0.220880:0.378821:0.210451:0.373098:0.210451:0.000000
2:@0.435871:0.250848:0.441594:0.250848:0.441594:0.240419:0.435871:0.240419:0.000000
–1:@0.347616:0.250848:0.359202:0.250848:0.359202:0.240419:0.347616:0.240419:0.000000:0.000000
–1:@0.367141:0.265176:0.378727:0.265176:0.378727:0.254747:0.367141:0.254747:0.000000:0.000000
–2:@0.367141:0.289212:0.378727:0.289212:0.378727:0.278783:0.367141:0.278783:0.000000:0.000000
1:@0.408384:0.250848:0.414107:0.250848:0.414107:0.240419:0.408384:0.240419:0.000000
–2:@0.321396:0.250848:0.332982:0.250848:0.332982:0.240419:0.321396:0.240419:0.000000:0.000000
0:@0.373098:0.250848:0.378821:0.250848:0.378821:0.240419:0.373098:0.240419:0.000000
– 3:@0.291692:0.250848:0.305846:0.250848:0.305846:0.240419:0.291692:0.240419:0.000000:0.000000:0.000000
– 4:@0.263677:0.250848:0.277831:0.250848:0.277831:0.240419:0.263677:0.240419:0.000000:0.000000:0.000000
2 β = 60,46°:@0.373098:0.197126:0.422520:0.198387:0.422520:0.187958:0.373098:0.186697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.373098:0.177147:0.378821:0.177147:0.378821:0.166718:0.373098:0.166718:0.000000
C:@0.448876:0.198384:0.455560:0.198384:0.455560:0.187955:0.448876:0.187955:0.000000
A:@0.295057:0.298339:0.301918:0.298339:0.301918:0.287909:0.295057:0.287909:0.000000
AB = 6:@0.239872:0.220801:0.270502:0.220801:0.270502:0.210372:0.239872:0.210372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC = 6,4:@0.374209:0.258717:0.413259:0.258717:0.413259:0.248288:0.374209:0.248288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BC = 5,39:@0.347546:0.153831:0.391486:0.153831:0.391486:0.143401:0.347546:0.143401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.380686:0.134900:0.385447:0.134900:0.385447:0.124488:0.380686:0.124488:0.000000
x:@0.471603:0.243162:0.476352:0.243162:0.476352:0.232750:0.471603:0.232750:0.000000
β:@0.312836:0.581724:0.322953:0.581724:0.327517:0.566151:0.317401:0.566151:0.000000
α:@0.215201:0.604317:0.226829:0.604317:0.231394:0.588744:0.219766:0.588744:0.000000
γ:@0.310748:0.604317:0.318322:0.604317:0.322887:0.588744:0.315313:0.588744:0.000000
=:@0.229867:0.581724:0.239984:0.581724:0.239984:0.566151:0.229867:0.566151:0.000000
=:@0.328602:0.581724:0.338719:0.581724:0.338719:0.566151:0.328602:0.566151:0.000000
=:@0.232115:0.604323:0.242232:0.604323:0.242232:0.588750:0.232115:0.588750:0.000000
=:@0.324198:0.604323:0.334315:0.604323:0.334315:0.588750:0.324198:0.588750:0.000000
14,48:@0.241384:0.581047:0.283141:0.581047:0.283141:0.564658:0.241384:0.564658:0.000000:0.000000:0.000000:0.000000:0.000000
..........:@0.282939:0.581047:0.313510:0.581047:0.313510:0.564658:0.282939:0.564658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.318445:0.577275:0.323974:0.577275:0.323974:0.560886:0.318445:0.560886:0.000000
45:@0.342003:0.581047:0.359785:0.581047:0.359785:0.564658:0.342003:0.564658:0.000000:0.000000
90:@0.244778:0.603645:0.262561:0.603645:0.262561:0.587256:0.244778:0.587256:0.000000:0.000000
...............:@0.266818:0.603645:0.312592:0.603645:0.312592:0.587256:0.266818:0.587256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ 45:@0.315246:0.603051:0.355381:0.603645:0.355381:0.587256:0.315246:0.586662:0.000000:0.000000:0.000000:0.000000
P:@0.217192:0.581047:0.225964:0.581047:0.225964:0.564685:0.217192:0.564685:0.000000
:@0.359279:0.573891:0.363551:0.573891:0.363551:0.564184:0.359279:0.564184:0.000000
:@0.262848:0.596483:0.175082:0.596483:0.175082:0.586776:0.262848:0.586776:0.000000
:@0.354885:0.596483:0.267119:0.596483:0.267119:0.586776:0.354885:0.586776:0.000000
C:@0.423140:0.525337:0.429824:0.525337:0.429824:0.514908:0.423140:0.514908:0.000000
A:@0.244531:0.528294:0.251391:0.528294:0.251391:0.517865:0.244531:0.517865:0.000000
AC = 6:@0.312745:0.528294:0.344031:0.528294:0.344031:0.517865:0.312745:0.517865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α = 90°:@0.311830:0.475197:0.345087:0.475197:0.345087:0.464768:0.311830:0.464768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BC = 4,24:@0.389578:0.475197:0.433518:0.475197:0.433518:0.464768:0.389578:0.464768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β = 45°:@0.354972:0.510032:0.388358:0.510032:0.388358:0.499602:0.354972:0.499602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y = 45°:@0.267304:0.508993:0.300221:0.508993:0.300221:0.498564:0.267304:0.498564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.325069:0.443117:0.330991:0.443117:0.330991:0.432688:0.325069:0.432688:0.000000
AB = 4,24:@0.241557:0.472721:0.285673:0.472721:0.285673:0.462292:0.241557:0.462292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.233137:0.475194:0.238860:0.475194:0.238860:0.464765:0.233137:0.464765:0.000000
4:@0.233137:0.452479:0.238860:0.452479:0.238860:0.442049:0.233137:0.442049:0.000000
2:@0.233137:0.497760:0.238860:0.497760:0.238860:0.487331:0.233137:0.487331:0.000000
1:@0.233137:0.519077:0.238860:0.519077:0.238860:0.508647:0.233137:0.508647:0.000000
0:@0.233137:0.548305:0.238860:0.548305:0.238860:0.537876:0.233137:0.537876:0.000000
1:@0.269513:0.548305:0.275236:0.548305:0.275236:0.537876:0.269513:0.537876:0.000000
3:@0.323867:0.548305:0.329589:0.548305:0.329589:0.537876:0.323867:0.537876:0.000000
5:@0.380635:0.548305:0.386358:0.548305:0.386358:0.537876:0.380635:0.537876:0.000000
2:@0.297575:0.548305:0.303298:0.548305:0.303298:0.537876:0.297575:0.537876:0.000000
4:@0.351928:0.548305:0.357651:0.548305:0.357651:0.537876:0.351928:0.537876:0.000000
6:@0.408697:0.548305:0.414420:0.548305:0.414420:0.537876:0.408697:0.537876:0.000000
y:@0.241212:0.436281:0.245973:0.436281:0.245973:0.425869:0.241212:0.425869:0.000000
x:@0.448798:0.542325:0.453547:0.542325:0.453547:0.531914:0.448798:0.531914:0.000000
β:@0.295246:0.874244:0.305363:0.874244:0.309927:0.858671:0.299811:0.858671:0.000000
α:@0.218552:0.896837:0.230179:0.896837:0.234744:0.881264:0.223116:0.881264:0.000000
γ:@0.287139:0.896837:0.294713:0.896837:0.299278:0.881264:0.291704:0.881264:0.000000
=:@0.233218:0.874244:0.243334:0.874244:0.243334:0.858671:0.233218:0.858671:0.000000
=:@0.311019:0.874244:0.321136:0.874244:0.321136:0.858671:0.311019:0.858671:0.000000
=:@0.235466:0.896843:0.245583:0.896843:0.245583:0.881270:0.235466:0.881270:0.000000
=:@0.300589:0.896843:0.310706:0.896843:0.310706:0.881270:0.300589:0.881270:0.000000
15:@0.244735:0.873566:0.262518:0.873566:0.262518:0.857178:0.244735:0.857178:0.000000:0.000000
...........:@0.262333:0.873566:0.295945:0.873566:0.295945:0.857178:0.262333:0.857178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.300866:0.869791:0.306394:0.869791:0.306394:0.853402:0.300866:0.853402:0.000000
60:@0.324066:0.873566:0.341849:0.873566:0.341849:0.857178:0.324066:0.857178:0.000000:0.000000
ˆ 60:@0.224815:0.895570:0.266314:0.896165:0.266314:0.879776:0.224815:0.879182:0.000000:0.000000:0.000000:0.000000
......:@0.270570:0.896165:0.288980:0.896165:0.288980:0.879776:0.270570:0.879776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ 60:@0.291670:0.895570:0.331437:0.896165:0.331437:0.879776:0.291670:0.879182:0.000000:0.000000:0.000000:0.000000
P:@0.220576:0.873566:0.229348:0.873566:0.229348:0.857205:0.220576:0.857205:0.000000
:@0.342108:0.866410:0.346380:0.866410:0.346380:0.856704:0.342108:0.856704:0.000000
:@0.266565:0.889002:0.205712:0.889002:0.205712:0.879295:0.266565:0.879295:0.000000
:@0.331690:0.889002:0.270837:0.889002:0.270837:0.879295:0.331690:0.879295:0.000000
A:@0.295481:0.799518:0.302341:0.799518:0.302341:0.789088:0.295481:0.789088:0.000000
C:@0.452103:0.799518:0.458787:0.799518:0.458787:0.789088:0.452103:0.789088:0.000000
B:@0.365970:0.682991:0.371892:0.682991:0.371892:0.672562:0.365970:0.672562:0.000000
BC = 5:@0.411435:0.739758:0.441889:0.739758:0.441889:0.729329:0.411435:0.729329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB = 5:@0.289806:0.737857:0.320436:0.737857:0.320436:0.727428:0.289806:0.727428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC = 5:@0.361057:0.803953:0.392344:0.803953:0.392344:0.793524:0.361057:0.793524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.240765:0.842485:0.246487:0.842485:0.246487:0.832055:0.240765:0.832055:0.000000
0:@0.205069:0.842485:0.210791:0.842485:0.210791:0.832055:0.205069:0.832055:0.000000
2:@0.205069:0.790461:0.210791:0.790461:0.210791:0.780032:0.205069:0.780032:0.000000
4:@0.205069:0.746368:0.210791:0.746368:0.210791:0.735939:0.205069:0.735939:0.000000
6:@0.205069:0.701025:0.210791:0.701025:0.210791:0.690595:0.205069:0.690595:0.000000
1:@0.205069:0.813775:0.210791:0.813775:0.210791:0.803346:0.205069:0.803346:0.000000
3:@0.205069:0.768423:0.210791:0.768423:0.210791:0.757994:0.205069:0.757994:0.000000
5:@0.205069:0.724330:0.210791:0.724330:0.210791:0.713901:0.205069:0.713901:0.000000
5:@0.352356:0.842485:0.358078:0.842485:0.358078:0.832055:0.352356:0.832055:0.000000
3:@0.296302:0.842485:0.302025:0.842485:0.302025:0.832055:0.296302:0.832055:0.000000
7:@0.407893:0.842485:0.413616:0.842485:0.413616:0.832055:0.407893:0.832055:0.000000
2:@0.268791:0.842485:0.274514:0.842485:0.274514:0.832055:0.268791:0.832055:0.000000
6:@0.380382:0.842485:0.386105:0.842485:0.386105:0.832055:0.380382:0.832055:0.000000
4:@0.324329:0.842485:0.330052:0.842485:0.330052:0.832055:0.324329:0.832055:0.000000
8:@0.435920:0.842485:0.441643:0.842485:0.441643:0.832055:0.435920:0.832055:0.000000
γ =60°:@0.324083:0.779205:0.353622:0.779205:0.353622:0.768775:0.324083:0.768775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α = 60°:@0.352321:0.721021:0.385577:0.721021:0.385577:0.710591:0.352321:0.710591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β =60°:@0.389037:0.779205:0.419854:0.779205:0.419854:0.768775:0.389037:0.768775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.212807:0.683305:0.217568:0.683305:0.217568:0.672894:0.212807:0.672894:0.000000
x:@0.476844:0.835846:0.481594:0.835846:0.481594:0.825434:0.476844:0.825434:0.000000
β:@0.747741:0.303160:0.757858:0.303160:0.762423:0.287587:0.752306:0.287587:0.000000
α:@0.662671:0.325752:0.674299:0.325752:0.678864:0.310179:0.667236:0.310179:0.000000
γ:@0.746075:0.325752:0.753648:0.325752:0.758213:0.310179:0.750639:0.310179:0.000000
=:@0.677337:0.303160:0.687454:0.303160:0.687454:0.287587:0.677337:0.287587:0.000000
=:@0.763505:0.303160:0.773622:0.303160:0.773622:0.287587:0.763505:0.287587:0.000000
=:@0.679585:0.325759:0.689702:0.325759:0.689702:0.310186:0.679585:0.310186:0.000000
=:@0.759524:0.325759:0.769641:0.325759:0.769641:0.310186:0.759524:0.310186:0.000000
14,2:@0.688856:0.302483:0.721086:0.302483:0.721086:0.286094:0.688856:0.286094:0.000000:0.000000:0.000000:0.000000
.........:@0.720883:0.302483:0.748414:0.302483:0.748414:0.286094:0.720883:0.286094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ:@0.753353:0.298711:0.758881:0.298711:0.758881:0.282322:0.753353:0.282322:0.000000
90:@0.776178:0.302483:0.793961:0.302483:0.793961:0.286094:0.776178:0.286094:0.000000:0.000000
ˆ 30:@0.668911:0.324487:0.710041:0.325081:0.710041:0.308693:0.668911:0.308098:0.000000:0.000000:0.000000:0.000000
...........:@0.714298:0.325081:0.747910:0.325081:0.747910:0.308693:0.714298:0.308693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ˆ 60:@0.750582:0.324487:0.790349:0.325081:0.790349:0.308693:0.750582:0.308098:0.000000:0.000000:0.000000:0.000000
P:@0.664672:0.302483:0.673444:0.302483:0.673444:0.286121:0.664672:0.286121:0.000000
:@0.792302:0.325953:0.799673:0.325953:0.799673:0.309204:0.792302:0.309204:0.000000
:@0.794239:0.295325:0.798511:0.295325:0.798511:0.285619:0.794239:0.285619:0.000000
:@0.710318:0.317920:0.714590:0.317920:0.714590:0.308214:0.710318:0.308214:0.000000
B:@0.787198:0.149831:0.793120:0.149831:0.793120:0.139402:0.787198:0.139402:0.000000
BC = 5.2:@0.779822:0.190695:0.818039:0.190695:0.818039:0.180266:0.779822:0.180266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB = 6:@0.692024:0.205745:0.722654:0.205745:0.722654:0.195315:0.692024:0.195315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.679125:0.255902:0.685985:0.255902:0.685985:0.245473:0.679125:0.245473:0.000000
C:@0.781358:0.269174:0.788042:0.269174:0.788042:0.258745:0.781358:0.258745:0.000000
1:@0.763791:0.240923:0.769514:0.240923:0.769514:0.230493:0.763791:0.230493:0.000000
1:@0.801000:0.268004:0.806723:0.268004:0.806723:0.257574:0.801000:0.257574:0.000000
0:@0.763756:0.268004:0.769479:0.268004:0.769479:0.257574:0.763756:0.257574:0.000000
–3:@0.686090:0.267925:0.697676:0.267925:0.697676:0.257495:0.686090:0.257495:0.000000:0.000000
–2:@0.713941:0.267925:0.725527:0.267925:0.725527:0.257495:0.713941:0.257495:0.000000:0.000000
–1:@0.741088:0.267925:0.752674:0.267925:0.752674:0.257495:0.741088:0.257495:0.000000:0.000000
3:@0.763779:0.194858:0.769502:0.194858:0.769502:0.184428:0.763779:0.184428:0.000000
2:@0.763779:0.217107:0.769502:0.217107:0.769502:0.206678:0.763779:0.206678:0.000000
4:@0.763779:0.173110:0.769502:0.173110:0.769502:0.162681:0.763779:0.162681:0.000000
5:@0.764882:0.147763:0.770604:0.147763:0.770604:0.137334:0.764882:0.137334:0.000000
γ = 60°:@0.685985:0.240932:0.718092:0.240932:0.718092:0.230502:0.685985:0.230502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β = 90°:@0.732387:0.240932:0.765773:0.240932:0.765773:0.230502:0.732387:0.230502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α = 30°:@0.738391:0.184103:0.771648:0.184103:0.771648:0.173674:0.738391:0.173674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC = 3:@0.704101:0.271292:0.735388:0.271292:0.735388:0.260862:0.704101:0.260862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.771881:0.129506:0.776642:0.129506:0.776642:0.119094:0.771881:0.119094:0.000000
x:@0.839532:0.261778:0.844281:0.261778:0.844281:0.251366:0.839532:0.251366:0.000000
⋅=:@0.624126:0.854640:0.652874:0.854640:0.652874:0.839067:0.624126:0.839067:0.000000:0.000000
0:@0.655435:0.853963:0.664428:0.853963:0.664428:0.837574:0.655435:0.837574:0.000000
sonrecta.:@0.611725:0.874708:0.679207:0.874708:0.679207:0.858319:0.611725:0.858319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.637376:0.874708:0.640582:0.874708:0.640582:0.858319:0.637376:0.858319:0.000000
:@0.612087:0.842810:0.639009:0.842810:0.639009:0.826062:0.612087:0.826062:0.000000:0.000000:0.000000
AB:@0.612819:0.853963:0.639354:0.853963:0.639354:0.837601:0.612819:0.837601:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000