Route post ajax Laravel

Question

Galera I have a search field by ajax in Aravel that works normally local but on the server it is returning error. When the search route (post -> http://site.com.br/cidadedigital/admin/prefeitura/search/) is triggered by the keyup event of error 301 Moved Permanently and then runs again (mysteriously) another route (get -> http://site.com.br/prefeitura/search/) which consequently returns error 404 not found because that second route really does not exist.

This error only occurs through ajax, when I give enter and the form is sent conventionally the route is found and the results are displayed correctly.

Has anyone ever had such problems? Can anyone tell me if this is a code problem or some server configuration?

That is the route that is in the Routes.php

Route::post('/prefeitura/search', 'Admin\PrefeituraController@search');

This is the . htaccess that is in the root folder of the Laravel (public folder files have also been moved to the root folder of the Laravel)

<IfModule mod_rewrite.c>
    <IfModule mod_negotiation.c>
        Options -MultiViews
    </IfModule>

    RewriteEngine On

    # Redirect Trailing Slashes If Not A Folder...
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteRule ^(.*)/$ /$1 [L,R=301]

    # Handle Front Controller...
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteCond %{REQUEST_FILENAME} !-f
    RewriteRule ^ index.php [L]
</IfModule>

This is the ajax function that does the search and displays the found data

$("#searchPrefeitura").on('keyup',function(){

    $.ajax({
        url: 'http://site.com.br/cidadedigital/admin/prefeitura/search/',
        type: 'POST',
        dataType    : 'html',
        encode      : true,
        data        :{exp:$(this).val(), _token: $("#_tokenSearch").val()},
        beforeSend  : function(){
            $(".spinner").removeClass('hide');
        },
        success     : function(data){
            $("#listPrefeitura").html(data);
        },
        complete    : function(){       
            $(".spinner").addClass('hide');
            $("#limpabusca").fadeIn();
        },

        error   :   function(data)
        {
            //console.log(data.responseText);
        }
    });

});