amitjamadagni

def final_seifert_circles(self):
        sc = self.seifert_circles()
        regions = self.regions()
        y = self.PD_code()
        while True:
            x = deepcopy(y)
            q1 = deepcopy(regions)
            q = [[[],[]] for i in range(len(regions))]
            for i in range(len(regions)):
                for j in range(len(regions[i])):

amitjamadagni

def final_seifert_circles(self):
        sc = self.seifert_circles()
        regions = self.regions()
        y = self.PD_code()
        while True:
            q = [[[],[]] for i in range(len(regions))]
            for i in range(len(regions)):
                for j in range(len(regions[i])):
                    if regions[i][j] < 0:
                        q[i][0].append(regions[i][j])

amitjamadagni

sage: L = link.Link(oriented_gauss_code = [[-1, +2, -3, 4, +5, +1, -2, +6, +7, 3, -4, -7, -6,-5],['-','-','-','-','+','-','+']])
sage: L.regions()
[[4, -11],
 [2, -7],
 [6, -1],
 [13, 9],
 [-4, -10, -12],
 [-8, -2, -6, -14],
 [10, -3, 8, -13],
 [14, -5, 12, -9],

amitjamadagni

def remove_regions(self):
        y = self.PD_code()
        x = deepcopy(y)
        sc = self.seifert_circles()
        regions = self.regions()
        q1 = deepcopy(regions)
        #splitting into positive and negative for each region
        q = [[[],[]] for i in range(len(regions))]
        for i in range(len(regions)):

amitjamadagni

def add(self):
     y = self.subtract()
     <some other code>
     if do something:
           y = None
     else:
           return y

amitjamadagni

def final(self):
        x = self.PD_code()
        L = Link(PD_code = x)
        y = L.remove_regions()
        while True:
            if y == 'No more regions':
                break
            else:
                L = Link(PD_code = y)
                y = L.remove_regions()

amitjamadagni

def remove_regions(self):
        #self.oriented_gauss_code = oriented_gauss_code
        z = self.PD_code()
        x = deepcopy(z)
        #x = self.PD_code_ogc(self.oriented_gauss_code)
        #sc = self.seifert_circles(self.oriented_gauss_code)
        sc = self.seifert_circles()
        #print sc
        #regions = self.regions(self.oriented_gauss_code)
        regions = self.regions()

amitjamadagni

sage: L = link.Link(oriented_gauss_code = [[-1, +2, -3, 4, +5, +1, -2, +6, +7, 3, -4, -7, -6,-5],['-','-','-','-','+','-','+']])
sage: L.PD_code()
[[1, 7, 2, 6],
 [7, 3, 8, 2],
 [3, 11, 4, 10],
 [11, 5, 12, 4],
 [14, 5, 1, 6],
 [13, 9, 14, 8],
 [12, 9, 13, 10]]
sage: e = [[1, 7, 2, 6],

amitjamadagni

sage: q = {1: [[18, 4, 19, 3], [17, 4, 18, 5]], 2: [[1, 9, 2, 8], [9, 3, 10, 2], [5, 13, 6, 12], [13, 7, 14, 6], [22, 7, 1, 8], [19, 11, 20, 10], [16, 11, 17, 12], [18, 4, 19, 3], [17, 4, 18, 5]], 3: [[1, 9, 2, 8], [9, 3, 10, 2], [5, 13, 6, 12], [13, 7, 14, 6], [22, 7, 1, 8], [19, 11, 20, 10], [16, 11, 17, 12], [21, 14, 22, 15], [20, 16, 21, 15]], 4: [[21, 14, 22, 15], [20, 16, 21, 15]]}
sage: t = {1: ['-', '+'], 2: ['-', '-', '-', '-', '+', '-', '+', '-', '+'], 3: ['-', '-', '-', '-', '+', '-', '+', '+', '-'], 4: ['+', '-']}
sage: for i in q.iterkeys():
    for j in range(len(q[i])):
        if t[i][j] == "-":
            del q[i][j][3]
            del q[i][j][0]
        elif t[i][j] == "+":
            del q[i][j][1]
            del q[i][j][0]

amitjamadagni

def seifert_to_braid(self):
        sc = self.final()[0]
        regions = self.final()[1]
        pd_code = self.final()[2]
        #making regions positive
        for i in regions:
            for j in range(len(i)):
                if i[j] < 0:
                    i[j] = (-1)*i[j]
        #finding which sc are same as regions