How can I pre-filter the content that goes into the ModelAdmin.filter_horizontal

Tricky little problem here. I am using horizontal_filter to assign a
massive amount of students to their advisors.
The horizontal filter works, but I see students from the entire
district. How can I pre-filter the data going into the
filter_horizontal widget to only show students at the Advisor's
school?

Any advice on this and the model is helpful.

class Student(models.Model):
student_id = models.CharField(max_length=20, primary_key=True)
#school assigned student id
gender = models.CharField(max_length=1, choices=GENDER_CHOICES)
last_name = models.CharField(max_length=30)
first_name = models.CharField(max_length=30)
grade = models.IntegerField()
school = models.ForeignKey(School)

#Advisors have a primary school, but can also support many schools.
class Advisor(models.Model):
last_name = models.CharField(max_length=20)
first_name= models.CharField(max_length=20)
primary_school = models.ForeignKey(School)
school = models.ManyToManyField(School,
related_name='school_advisor')
student = models.ManyToManyField(Student,
related_name='student_advisor')
email = models.EmailField()

class School(models.Model):
school_name = models.CharField(max_length=200)
school_num = models.IntegerField()

class AdvisorAdmin(admin.ModelAdmin):
# How can I prefilter this set of students to only show students
# where student.school = teacher.primary_school
# currently I see all the students in the district
filter_horizontal = ['student']

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