Initial commit
This commit is contained in:
Wojciech Politarczyk
commit
7836c158c7
173
Blanchfield.sage
Normal file
173
Blanchfield.sage
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# Sprawdzamy wszystkie przykłady:
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# for c in xrange(3,11):
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# for x in xrange(1, number_of_knots[c-3]+1):
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# k = 'knot_' + str(c) + '_' + str(x)
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# knot = eval(k)
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# print knot
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# C = TwistedChainComplex(knot)
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# print C.G
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# Attach knot tables
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attach("./knot-table.sage")
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class TwistedChainComplex(object):
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r"""
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This class implements twisted Blanchfield pairing of a zero-surgery of a knot.
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"""
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def __init__(self,knot,field=RationalField(),images=None):
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self.knot = knot
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self.field = field
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self.ring = LaurentPolynomialRing(self.field,'T')
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self.pol_ring = self.ring.polynomial_ring()
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self.T = self.ring.gen()
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self.TT = self.pol_ring.gen()
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self.G, self.ui = self._fundamental_group()
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assert self.G.abelian_invariants() == (0,)
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def _find_arc(self, edge):
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arcs = self.knot.arcs()
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for arc in arcs:
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if edge in arc:
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return arcs.index(arc)
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def _fundamental_group(self):
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G = self.knot.fundamental_group()
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# print G
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pd_code = self.knot.pd_code()
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# print 'pd_code: ' + str(pd_code)
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arcs = self.knot.arcs()
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# print 'arcs: ' + str(arcs)
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orient = self.knot.orientation()
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# print 'orientation: ' + str(orient)
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w = self.knot.writhe()
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arc = self._find_arc(1)
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longitude = G([arc+1 for x in xrange(abs(w))])
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overcrossing_seq = [0] * len(arcs)
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if w>0:
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longitude = longitude.inverse()
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# print 'longitude: ' + str(longitude)
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current_pos = -1
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for step in xrange(1,2 * len(pd_code)+1):
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for c in xrange(len(pd_code)):
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if c != current_pos and step in pd_code[c]:
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current_pos = c
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break
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# print 'step = ' + str(step)
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# print 'current_pos = ' + str(current_pos)
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ind = pd_code[current_pos].index(step)
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# print 'ind = ' + str(ind)
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if ind % 2 == 0:
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# print 'undercrossing'
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overcrossing = pd_code[current_pos][(ind+1) % 4]
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# print 'over = ' + str(overcrossing)
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for a in xrange(len(arcs)):
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if overcrossing in arcs[a]:
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arc_num = a
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# print 'arc_num = ' + str(arc_num)
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break
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# print 'current_pos = ' + str(current_pos)
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overcrossing_seq[current_pos] = longitude
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g = G([arc_num+1]).inverse() if orient[current_pos] == -1 else G([arc_num+1])
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# print 'g = ' + str(g)
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longitude = longitude * g
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# else:
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# print 'overcrossing'
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F = G.free_group()
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return F.quotient(list(G.relations()) + [longitude]), overcrossing_seq # [G([arc+1]) * x for x in overcrossing_seq]
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def _find_path(self,dest,regions):
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visited = [1] + [0] * (len(regions)-1)
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# visited = [0] * len(regions)
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current_region = regions[0]
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if -dest in current_region:
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return []
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found = False
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path = []
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# print 'Find region: ' + str(dest)
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# print 'regions = ' + str(regions)
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# print 'current_region = ' + str(current_region)
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# print 'visited = ' + str(visited)
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# print 'path = ' + str(path)
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found = False
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while prod(visited) == 0 or found == True:
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all_nbs_visited = True
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for x in current_region:
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# print 'x = ' + str(x)
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r = self._find_region(x,regions)
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i = regions.index(r)
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# print 'r = ' + str(r)
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if visited[i] == 1:
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# print 'visited'
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continue
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else:
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current_region = r
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visited[i] = 1
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path = path + [x]
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# print 'current_region = ' + str(current_region)
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# print 'visited = ' + str(visited)
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# print 'path = ' + str(path)
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if (-dest) in r:
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return path
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else:
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all_nbs_visited = False
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break
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if all_nbs_visited:
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# take tha last element from the path
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# print 'Stepping back'
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x = path[-1:][0]
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# print 'Currently last element in path list: ' + str(x)
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r = self._find_region(-x,regions)
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current_region = r
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path = path[:-1]
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# print 'current_region = ' + str(current_region)
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# print 'visited = ' + str(visited)
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# print 'path = ' + str(path)
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raise ValueError("We are screwed...")
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def _find_region(self,edge,regions):
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for reg in regions:
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if -edge in reg:
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return reg
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def _compute_wi(self):
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# this function should work, but I am not completely sure that it does
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n = len(self.G.gens())
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rels = self.G.relations()
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M = [self.G([])] * n
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result = []
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pd_code = self.knot.pd_code()
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regions = self.knot.regions()
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# print 'regions = ' + str(regions)
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for pd in pd_code:
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# print '##############################################################'
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start = pd[0]
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# print 'pd = ' + str(pd)
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# print 'Destination region: ' + str(self._find_region(start,regions))
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path = self._find_path(pd[0],regions)
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# print 'Path: ' + str(path)
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element = self.G([])
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for x in path:
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if x >= 0:
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element = element * self.G([self._find_arc(x)+1]).inverse()
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else:
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element = element * self.G([self._find_arc(-x)+1])
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# print 'element = ' + str(element)
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result.append(element)
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return result
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def _compute_image_of_an_element(self, g):
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# assert g in self._G
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image = self.ring(1)
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for t in g.Tietze():
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if t>0:
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image = image * self.images[t-1]
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else:
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image = image * self.images[-t-1]^-1
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return image
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262
knot-table.sage
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262
knot-table.sage
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@ -0,0 +1,262 @@
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# 15n166130
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K = Link([[8, 2, 9, 1], [10, 3, 11, 4], [12, 6, 13, 5], [7, 25, 8, 24], [16, 9, 17, 10], [26, 12, 27, 11], [20, 14, 21, 13], [22, 15, 23, 16], [2, 18, 3, 17], [19, 7, 20, 6], [28, 21, 29, 22], [30, 24, 1, 23], [25, 19, 26, 18], [4, 27, 5, 28], [14, 30, 15, 29]])
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# 10_162
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L = Link([[6,2,7,1], [16,10,17,9], [10,3,11,4], [2,15,3,16], [14,5,15,6], [18,8,19,7], [4,11,5,12], [8,18,9,17], [13,20,14,1], [19,12,20,13]])
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# 3_1
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knot_3_1 = Link([[1,4,2,5], [3,6,4,1], [5,2,6,3]])
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knot_4_1 = Link([[4,2,5,1], [8,6,1,5], [6,3,7,4], [2,7,3,8]])
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knot_5_1 = Link([[1,6,2,7], [3,8,4,9], [5,10,6,1], [7,2,8,3], [9,4,10,5]])
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knot_5_2 = Link([[1,4,2,5], [3,8,4,9], [5,10,6,1], [9,6,10,7], [7,2,8,3]])
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knot_6_1 = Link([[1,4,2,5], [7,10,8,11], [3,9,4,8], [9,3,10,2], [5,12,6,1], [11,6,12,7]])
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knot_6_2 = Link([[1,4,2,5], [5,10,6,11], [3,9,4,8], [9,3,10,2], [7,12,8,1], [11,6,12,7]])
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knot_6_3 = Link([[4,2,5,1], [8,4,9,3], [12,9,1,10], [10,5,11,6], [6,11,7,12], [2,8,3,7]])
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knot_7_1 = Link([[1,8,2,9], [3,10,4,11], [5,12,6,13], [7,14,8,1], [9,2,10,3], [11,4,12,5], [13,6,14,7]])
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knot_7_2 = Link([[1,4,2,5], [3,10,4,11], [5,14,6,1], [7,12,8,13], [11,8,12,9], [13,6,14,7], [9,2,10,3]])
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knot_7_3 = Link([[6,2,7,1], [10,4,11,3], [14,8,1,7], [8,14,9,13], [12,6,13,5], [2,10,3,9], [4,12,5,11]])
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knot_7_4 = Link([[6,2,7,1], [12,6,13,5], [14,8,1,7], [8,14,9,13], [2,12,3,11], [10,4,11,3], [4,10,5,9]])
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knot_7_5 = Link([[1, 4,2,5], [3,10,4,11], [5,12,6,13], [7,14,8,1], [13,6,14,7], [11,8,12,9], [9,2,10,3]])
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knot_7_6 = Link([[1,4,2,5], [3,8,4,9], [5,12,6,13], [9,1,10,14], [13,11,14,10], [11,6,12,7], [7,2,8,3]])
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knot_7_7 = Link([[1,4,2,5], [5,10,6,11], [3,9,4,8], [9,3,10,2], [11,14,12,1], [7,13,8,12], [13,7,14,6]])
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knot_8_1 = Link([[1,4,2,5], [9,12,10,13], [3,11,4,10], [11,3,12,2], [5,16,6,1], [7,14,8,15], [13,8,14,9], [15,6,16,7]])
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knot_8_2 = Link([[1,4,2,5], [5,12,6,13], [3,11,4,10], [11,3,12,2], [7,14,8,15], [9,16,10,1], [13,6,14,7], [15,8,16,9]])
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knot_8_3 = Link([[6,2,7,1], [14,10,15,9], [10,5,11,6], [12,3,13,4], [4,11,5,12], [2,13,3,14], [16,8,1,7], [8,16,9,15]])
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knot_8_4 = Link([[6,2,7,1], [14,10,15,9], [10,3,11,4], [2,13,3,14], [12,5,13,6], [16,8,1,7], [4,11,5,12], [8,16,9,15]])
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knot_8_5 = Link([[6,2,7,1], [8,4,9,3], [2,8,3,7], [14,10,15,9], [12,5,13,6], [4,13,5,14], [16,12,1,11], [10,16,11,15]])
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knot_8_6 = Link([[1,4,2,5], [3,8,4,9], [5,12,6,13], [9,1,10,14], [13,11,14,10], [11,6,12,7], [7,2,8,3]])
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knot_8_7 = Link([[1,4,2,5], [3,10,4,11], [11,1,12,16], [5,13,6,12], [7,15,8,14], [13,7,14,6], [15,9,16,8], [9,2,10,3]])
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knot_8_8 = Link([[1,4,2,5], [3,8,4,9], [11,15,12,14], [5,13,6,12], [13,7,14,6], [9,1,10,16], [15,11,16,10], [7,2,8,3]])
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knot_8_9 = Link([[6,2,7,1], [14,8,15,7], [10,3,11,4], [2,13,3,14], [12,5,13,6], [4,11,5,12], [16,10,1,9], [8,16,9,15]])
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knot_8_10 = Link([[1,4,2,5], [3,8,4,9], [9,15,10,14], [5,13,6,12], [13,7,14,6], [11,1,12,16], [15,11,16,10], [7,2,8,3]])
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knot_8_11 = Link([[1,4,2,5], [5,12,6,13], [3,11,4,10], [11,3,12,2], [9,16,10,1], [15,6,16,7], [7,14,8,15], [13,8,14,9]])
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knot_8_12 = Link([[4,2,5,1], [10,8,11,7], [8,3,9,4], [2,9,3,10], [14,6,15,5], [16,11,1,12], [12,15,13,16], [6,14,7,13]])
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knot_8_13 = Link([[1,4,2,5], [3,10,4,11], [11,1,12,16], [5,13,6,12], [15,7,16,6], [7,15,8,14], [13,9,14,8], [9,2,10,3]])
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knot_8_14 = Link([[1,4,2,5], [5,10,6,11], [3,9,4,8], [9,3,10,2], [7,14,8,15], [11,16,12,1], [15,12,16,13], [13,6,14,7]])
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knot_8_15 = Link([[1,4,2,5], [3,8,4,9], [5,12,6,13], [13,16,14,1], [9,14,10,15], [15,10,16,11], [11,6,12,7], [7,2,8,3]])
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knot_8_16 = Link([[6,2,7,1], [14,6,15,5], [16,11,1,12], [12,7,13,8], [8,3,9,4], [4,9,5,10], [10,15,11,16], [2,14,3,13]])
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knot_8_17 = Link([[6,2,7,1], [14,8,15,7], [8,3,9,4], [2,13,3,14], [12,5,13,6], [4,9,5,10], [16,12,1,11], [10,16,11,15]])
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knot_8_18 = Link([[6,2,7,1], [8,3,9,4], [16,11,1,12], [2,14,3,13], [4,15,5,16], [10,6,11,5], [12,7,13,8], [14,10,15,9]])
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knot_8_19 = Link([[4,2,5,1], [8,4,9,3], [9,15,10,14], [5,13,6,12], [13,7,14,6], [11,1,12,16], [15,11,16,10], [2,8,3,7]])
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knot_8_20 = Link([[4,2,5,1], [8,4,9,3], [5,12,6,13], [13,16,14,1], [9,14,10,15], [15,10,16,11], [11,6,12,7], [2,8,3,7]])
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knot_8_21 = Link([[1,4,2,5], [3,8,4,9], [12,6,13,5], [13,16,14,1], [9,14,10,15], [15,10,16,11], [6,12,7,11], [7,2,8,3]])
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knot_9_1 = Link([[10, 1, 11, 2], [12, 3, 13, 4], [18, 9, 1, 10], [8, 17, 9, 18], [2, 11, 3, 12], [4, 13, 5, 14], [14, 5, 15, 6], [16, 7, 17, 8], [6, 15, 7, 16]])
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knot_9_2 = Link([[6, 9, 7, 10], [14, 1, 15, 2], [18, 15, 1, 16], [12, 3, 13, 4], [16, 7, 17, 8], [10, 5, 11, 6], [2, 13, 3, 14], [8, 17, 9, 18], [4, 11, 5, 12]])
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knot_9_3 = Link([[10, 2, 11, 1], [12, 4, 13, 3], [18, 10, 1, 9], [6, 18, 7, 17], [2, 12, 3, 11], [8, 16, 9, 15], [4, 14, 5, 13], [14, 6, 15, 5], [16, 8, 17, 7]])
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knot_9_4 = Link([[18, 14, 1, 13], [16, 8, 17, 7], [8, 18, 9, 17], [2, 12, 3, 11], [4, 10, 5, 9], [14, 6, 15, 5], [12, 2, 13, 1], [10, 4, 11, 3], [6, 16, 7, 15]])
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knot_9_5 = Link([[14, 8, 15, 7], [18, 14, 1, 13], [8, 18, 9, 17], [2, 12, 3, 11], [16, 6, 17, 5], [4, 10, 5, 9], [12, 2, 13, 1], [10, 4, 11, 3], [6, 16, 7, 15]])
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knot_9_6 = Link([[13, 16, 14, 17], [17, 12, 18, 13], [1, 8, 2, 9], [5, 14, 6, 15], [7, 18, 8, 1], [11, 4, 12, 5], [3, 10, 4, 11], [15, 6, 16, 7], [9, 2, 10, 3]])
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knot_9_7 = Link([[6, 9, 7, 10], [18, 13, 1, 14], [16, 7, 17, 8], [14, 1, 15, 2], [12, 3, 13, 4], [2, 15, 3, 16], [10, 5, 11, 6], [8, 17, 9, 18], [4, 11, 5, 12]])
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knot_9_8 = Link([[8, 11, 9, 12], [14, 2, 15, 1], [6, 17, 7, 18], [4, 9, 5, 10], [12, 4, 13, 3], [16, 7, 17, 8], [10, 5, 11, 6], [2, 14, 3, 13], [18, 16, 1, 15]])
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||||||
|
knot_9_9 = Link([[10, 3, 11, 4], [18, 13, 1, 14], [16, 7, 17, 8], [8, 17, 9, 18], [14, 5, 15, 6], [12, 1, 13, 2], [2, 9, 3, 10], [6, 15, 7, 16], [4, 11, 5, 12]])
|
||||||
|
knot_9_10 = Link([[12, 6, 13, 5], [10, 2, 11, 1], [18, 10, 1, 9], [6, 18, 7, 17], [2, 12, 3, 11], [8, 16, 9, 15], [4, 14, 5, 13], [16, 8, 17, 7], [14, 4, 15, 3]])
|
||||||
|
knot_9_11 = Link([[13, 16, 14, 17], [15, 5, 16, 4], [1, 9, 2, 8], [5, 15, 6, 14], [7, 1, 8, 18], [11, 7, 12, 6], [3, 11, 4, 10], [17, 12, 18, 13], [9, 3, 10, 2]])
|
||||||
|
knot_9_12 = Link([[15, 8, 16, 9], [17, 7, 18, 6], [11, 3, 12, 2], [5, 17, 6, 16], [9, 14, 10, 15], [1, 13, 2, 12], [7, 5, 8, 4], [3, 11, 4, 10], [13, 1, 14, 18]])
|
||||||
|
knot_9_13 = Link([[17, 7, 18, 6], [13, 9, 14, 8], [5, 17, 6, 16], [11, 1, 12, 18], [3, 13, 4, 12], [15, 5, 16, 4], [7, 15, 8, 14], [9, 3, 10, 2], [1, 11, 2, 10]])
|
||||||
|
knot_9_14 = Link([[5, 8, 6, 9], [7, 17, 8, 16], [17, 7, 18, 6], [11, 3, 12, 2], [9, 14, 10, 15], [15, 4, 16, 5], [1, 13, 2, 12], [3, 11, 4, 10], [13, 1, 14, 18]])
|
||||||
|
knot_9_15 = Link([[5, 9, 6, 8], [17, 2, 18, 3], [7, 17, 8, 16], [9, 5, 10, 4], [1, 13, 2, 12], [3, 11, 4, 10], [15, 7, 16, 6], [13, 1, 14, 18], [11, 14, 12, 15]])
|
||||||
|
knot_9_16 = Link([[4, 18, 5, 17], [8, 14, 9, 13], [18, 10, 1, 9], [12, 8, 13, 7], [10, 2, 11, 1], [14, 6, 15, 5], [2, 16, 3, 15], [6, 12, 7, 11], [16, 4, 17, 3]])
|
||||||
|
knot_9_17 = Link([[10, 2, 11, 1], [8, 5, 9, 6], [16, 8, 17, 7], [6, 18, 7, 17], [18, 12, 1, 11], [12, 9, 13, 10], [4, 15, 5, 16], [2, 13, 3, 14], [14, 3, 15, 4]])
|
||||||
|
knot_9_18 = Link([[10, 17, 11, 18], [8, 13, 9, 14], [2, 11, 3, 12], [6, 15, 7, 16], [12, 3, 13, 4], [16, 9, 17, 10], [4, 1, 5, 2], [14, 7, 15, 8], [18, 5, 1, 6]])
|
||||||
|
knot_9_19 = Link([[14, 1, 15, 2], [6, 18, 7, 17], [8, 3, 9, 4], [18, 15, 1, 16], [12, 9, 13, 10], [16, 8, 17, 7], [10, 6, 11, 5], [2, 13, 3, 14], [4, 12, 5, 11]])
|
||||||
|
knot_9_20 = Link([[13, 6, 14, 7], [11, 14, 12, 15], [17, 10, 18, 11], [15, 5, 16, 4], [1, 8, 2, 9], [7, 18, 8, 1], [9, 2, 10, 3], [5, 12, 6, 13], [3, 17, 4, 16]])
|
||||||
|
knot_9_21 = Link([[10, 18, 11, 17], [16, 4, 17, 3], [8, 5, 9, 6], [2, 12, 3, 11], [4, 9, 5, 10], [12, 2, 13, 1], [14, 8, 15, 7], [6, 16, 7, 15], [18, 14, 1, 13]])
|
||||||
|
knot_9_22 = Link([[1, 15, 2, 14], [17, 6, 18, 7], [7, 16, 8, 17], [3, 9, 4, 8], [15, 3, 16, 2], [9, 13, 10, 12], [5, 10, 6, 11], [11, 4, 12, 5], [13, 1, 14, 18]])
|
||||||
|
knot_9_23 = Link([[15, 2, 16, 3], [17, 6, 18, 7], [3, 8, 4, 9], [5, 16, 6, 17], [9, 14, 10, 15], [11, 18, 12, 1], [1, 12, 2, 13], [7, 4, 8, 5], [13, 10, 14, 11]])
|
||||||
|
knot_9_24 = Link([[6, 2, 7, 1], [10, 14, 11, 13], [2, 8, 3, 7], [12, 3, 13, 4], [16, 9, 17, 10], [8, 15, 9, 16], [18, 6, 1, 5], [14, 17, 15, 18], [4, 11, 5, 12]])
|
||||||
|
knot_9_25 = Link([[10, 15, 11, 16], [4, 18, 5, 17], [6, 3, 7, 4], [14, 9, 15, 10], [16, 6, 17, 5], [2, 7, 3, 8], [12, 1, 13, 2], [8, 11, 9, 12], [18, 13, 1, 14]])
|
||||||
|
knot_9_26 = Link([[14, 7, 15, 8], [10, 1, 11, 2], [6, 17, 7, 18], [8, 4, 9, 3], [16, 5, 17, 6], [18, 11, 1, 12], [4, 15, 5, 16], [2, 14, 3, 13], [12, 10, 13, 9]])
|
||||||
|
knot_9_27 = Link([[10, 18, 11, 17], [6, 9, 7, 10], [14, 12, 15, 11], [18, 7, 1, 8], [16, 6, 17, 5], [12, 3, 13, 4], [8, 1, 9, 2], [4, 16, 5, 15], [2, 13, 3, 14]])
|
||||||
|
knot_9_28 = Link([[10, 13, 11, 14], [18, 10, 1, 9], [12, 17, 13, 18], [8, 3, 9, 4], [4, 1, 5, 2], [16, 11, 17, 12], [2, 7, 3, 8], [14, 6, 15, 5], [6, 16, 7, 15]])
|
||||||
|
knot_9_29 = Link([[6, 2, 7, 1], [2, 15, 3, 16], [12, 17, 13, 18], [4, 10, 5, 9], [8, 13, 9, 14], [14, 5, 15, 6], [18, 8, 1, 7], [10, 4, 11, 3], [16, 11, 17, 12]])
|
||||||
|
knot_9_30 = Link([[17, 3, 18, 2], [15, 12, 16, 13], [13, 8, 14, 9], [5, 17, 6, 16], [9, 14, 10, 15], [7, 18, 8, 1], [3, 11, 4, 10], [11, 5, 12, 4], [1, 6, 2, 7]])
|
||||||
|
knot_9_31 = Link([[13, 7, 14, 6], [1, 13, 2, 12], [17, 10, 18, 11], [9, 16, 10, 17], [15, 4, 16, 5], [7, 1, 8, 18], [11, 8, 12, 9], [3, 14, 4, 15], [5, 2, 6, 3]])
|
||||||
|
knot_9_32 = Link([[17, 2, 18, 3], [3, 8, 4, 9], [9, 16, 10, 17], [15, 5, 16, 4], [11, 7, 12, 6], [1, 13, 2, 12], [5, 11, 6, 10], [7, 15, 8, 14], [13, 1, 14, 18]])
|
||||||
|
knot_9_33 = Link([[1, 14, 2, 15], [17, 7, 18, 6], [7, 12, 8, 13], [9, 5, 10, 4], [15, 8, 16, 9], [5, 11, 6, 10], [13, 2, 14, 3], [11, 16, 12, 17], [3, 1, 4, 18]])
|
||||||
|
knot_9_34 = Link([[6, 1, 7, 2], [16, 3, 17, 4], [8, 14, 9, 13], [2, 12, 3, 11], [4, 9, 5, 10], [10, 15, 11, 16], [14, 6, 15, 5], [18, 7, 1, 8], [12, 18, 13, 17]])
|
||||||
|
knot_9_35 = Link([[12, 6, 13, 5], [10, 2, 11, 1], [16, 8, 17, 7], [6, 18, 7, 17], [4, 14, 5, 13], [18, 12, 1, 11], [8, 16, 9, 15], [2, 10, 3, 9], [14, 4, 15, 3]])
|
||||||
|
knot_9_36 = Link([[6, 2, 7, 1], [8, 13, 9, 14], [10, 18, 11, 17], [16, 12, 17, 11], [2, 8, 3, 7], [4, 16, 5, 15], [12, 9, 13, 10], [18, 6, 1, 5], [14, 4, 15, 3]])
|
||||||
|
knot_9_37 = Link([[18, 13, 1, 14], [16, 10, 17, 9], [6, 3, 7, 4], [8, 18, 9, 17], [2, 11, 3, 12], [4, 16, 5, 15], [14, 6, 15, 5], [12, 1, 13, 2], [10, 7, 11, 8]])
|
||||||
|
knot_9_38 = Link([[13, 8, 14, 9], [11, 2, 12, 3], [17, 10, 18, 11], [9, 14, 10, 15], [15, 4, 16, 5], [7, 18, 8, 1], [1, 6, 2, 7], [5, 12, 6, 13], [3, 16, 4, 17]])
|
||||||
|
knot_9_39 = Link([[18, 13, 1, 14], [16, 10, 17, 9], [8, 18, 9, 17], [2, 8, 3, 7], [4, 16, 5, 15], [14, 6, 15, 5], [12, 1, 13, 2], [6, 12, 7, 11], [10, 4, 11, 3]])
|
||||||
|
knot_9_40 = Link([[17, 9, 18, 8], [11, 3, 12, 2], [9, 4, 10, 5], [5, 15, 6, 14], [7, 12, 8, 13], [13, 18, 14, 1], [1, 6, 2, 7], [15, 10, 16, 11], [3, 16, 4, 17]])
|
||||||
|
knot_9_41 = Link([[17, 8, 18, 9], [7, 13, 8, 12], [11, 2, 12, 3], [9, 16, 10, 17], [15, 4, 16, 5], [5, 14, 6, 15], [3, 10, 4, 11], [1, 7, 2, 6], [13, 1, 14, 18]])
|
||||||
|
knot_9_42 = Link([[13, 16, 14, 17], [17, 12, 18, 13], [7, 3, 8, 2], [15, 9, 16, 8], [5, 1, 6, 18], [1, 7, 2, 6], [10, 3, 11, 4], [9, 15, 10, 14], [4, 11, 5, 12]])
|
||||||
|
knot_9_43 = Link([[17, 3, 18, 2], [5, 17, 6, 16], [12, 16, 13, 15], [8, 14, 9, 13], [7, 18, 8, 1], [14, 10, 15, 9], [3, 11, 4, 10], [11, 5, 12, 4], [1, 6, 2, 7]])
|
||||||
|
knot_9_44 = Link([[10, 15, 11, 16], [4, 18, 5, 17], [7, 12, 8, 13], [6, 3, 7, 4], [1, 8, 2, 9], [2, 12, 3, 11], [16, 6, 17, 5], [14, 9, 15, 10], [13, 1, 14, 18]])
|
||||||
|
knot_9_45 = Link([[14, 9, 15, 10], [7, 2, 8, 3], [16, 14, 17, 13], [10, 18, 11, 17], [12, 3, 13, 4], [5, 18, 6, 1], [8, 15, 9, 16], [1, 6, 2, 7], [4, 11, 5, 12]])
|
||||||
|
knot_9_46 = Link([[7, 16, 8, 17], [12, 6, 13, 5], [17, 6, 18, 7], [11, 18, 12, 1], [15, 8, 16, 9], [4, 14, 5, 13], [9, 2, 10, 3], [1, 10, 2, 11], [14, 4, 15, 3]])
|
||||||
|
knot_9_47 = Link([[10, 15, 11, 16], [16, 3, 17, 4], [8, 14, 9, 13], [2, 12, 3, 11], [4, 9, 5, 10], [7, 1, 8, 18], [14, 6, 15, 5], [1, 7, 2, 6], [12, 18, 13, 17]])
|
||||||
|
knot_9_48 = Link([[16, 10, 17, 9], [8, 18, 9, 17], [7, 2, 8, 3], [1, 13, 2, 12], [11, 6, 12, 7], [4, 16, 5, 15], [14, 6, 15, 5], [10, 4, 11, 3], [13, 1, 14, 18]])
|
||||||
|
knot_9_49 = Link([[16, 10, 17, 9], [8, 18, 9, 17], [1, 13, 2, 12], [2, 8, 3, 7], [4, 16, 5, 15], [14, 6, 15, 5], [6, 12, 7, 11], [10, 4, 11, 3], [13, 1, 14, 18]])
|
||||||
|
knot_10_1 = Link([[14, 7, 15, 8], [4, 17, 5, 18], [8, 13, 9, 14], [2, 19, 3, 20], [10, 2, 11, 1], [18, 3, 19, 4], [12, 9, 13, 10], [16, 5, 17, 6], [6, 15, 7, 16], [20, 12, 1, 11]])
|
||||||
|
knot_10_2 = Link([[10, 1, 11, 2], [12, 3, 13, 4], [20, 9, 1, 10], [16, 19, 17, 20], [8, 18, 9, 17], [2, 11, 3, 12], [4, 13, 5, 14], [14, 5, 15, 6], [18, 8, 19, 7], [6, 15, 7, 16]])
|
||||||
|
knot_10_3 = Link([[1, 14, 2, 15], [3, 12, 4, 13], [9, 17, 10, 16], [17, 9, 18, 8], [7, 19, 8, 18], [11, 4, 12, 5], [5, 10, 6, 11], [13, 2, 14, 3], [15, 20, 16, 1], [19, 7, 20, 6]])
|
||||||
|
knot_10_4 = Link([[1, 15, 2, 14], [17, 8, 18, 9], [3, 13, 4, 12], [7, 16, 8, 17], [11, 5, 12, 4], [5, 11, 6, 10], [13, 3, 14, 2], [15, 1, 16, 20], [19, 6, 20, 7], [9, 18, 10, 19]])
|
||||||
|
knot_10_5 = Link([[15, 9, 16, 8], [9, 1, 10, 20], [17, 6, 18, 7], [11, 3, 12, 2], [3, 13, 4, 12], [5, 15, 6, 14], [7, 18, 8, 19], [19, 16, 20, 17], [13, 5, 14, 4], [1, 11, 2, 10]])
|
||||||
|
knot_10_6 = Link([[12, 5, 13, 6], [4, 17, 5, 18], [14, 1, 15, 2], [20, 13, 1, 14], [8, 20, 9, 19], [2, 15, 3, 16], [18, 10, 19, 9], [6, 11, 7, 12], [10, 7, 11, 8], [16, 3, 17, 4]])
|
||||||
|
knot_10_7 = Link([[7, 19, 8, 18], [17, 9, 18, 8], [19, 16, 20, 17], [11, 2, 12, 3], [9, 4, 10, 5], [5, 14, 6, 15], [1, 12, 2, 13], [3, 10, 4, 11], [15, 6, 16, 7], [13, 20, 14, 1]])
|
||||||
|
knot_10_8 = Link([[9, 20, 10, 1], [17, 7, 18, 6], [11, 2, 12, 3], [3, 12, 4, 13], [7, 17, 8, 16], [15, 9, 16, 8], [19, 14, 20, 15], [5, 19, 6, 18], [13, 4, 14, 5], [1, 10, 2, 11]])
|
||||||
|
knot_10_9 = Link([[7, 16, 8, 17], [15, 5, 16, 4], [11, 1, 12, 20], [17, 8, 18, 9], [1, 13, 2, 12], [5, 11, 6, 10], [13, 3, 14, 2], [3, 15, 4, 14], [19, 6, 20, 7], [9, 18, 10, 19]])
|
||||||
|
knot_10_10 = Link([[7, 16, 8, 17], [11, 3, 12, 2], [9, 5, 10, 4], [15, 18, 16, 19], [17, 8, 18, 9], [5, 15, 6, 14], [1, 13, 2, 12], [3, 11, 4, 10], [19, 7, 20, 6], [13, 1, 14, 20]])
|
||||||
|
knot_10_11 = Link([[18, 5, 19, 6], [4, 17, 5, 18], [6, 19, 7, 20], [16, 7, 17, 8], [8, 15, 9, 16], [2, 12, 3, 11], [14, 9, 15, 10], [12, 2, 13, 1], [10, 4, 11, 3], [20, 14, 1, 13]])
|
||||||
|
knot_10_12 = Link([[18, 5, 19, 6], [4, 7, 5, 8], [16, 10, 17, 9], [6, 19, 7, 20], [8, 18, 9, 17], [10, 16, 11, 15], [20, 12, 1, 11], [12, 2, 13, 1], [2, 14, 3, 13], [14, 4, 15, 3]])
|
||||||
|
knot_10_13 = Link([[6, 20, 7, 19], [8, 5, 9, 6], [14, 1, 15, 2], [4, 9, 5, 10], [10, 18, 11, 17], [12, 3, 13, 4], [18, 8, 19, 7], [2, 13, 3, 14], [16, 12, 17, 11], [20, 15, 1, 16]])
|
||||||
|
knot_10_14 = Link([[6, 20, 7, 19], [4, 17, 5, 18], [16, 9, 17, 10], [8, 5, 9, 6], [18, 8, 19, 7], [10, 15, 11, 16], [20, 11, 1, 12], [12, 1, 13, 2], [2, 13, 3, 14], [14, 3, 15, 4]])
|
||||||
|
knot_10_15 = Link([[15, 8, 16, 9], [7, 3, 8, 2], [11, 20, 12, 1], [9, 14, 10, 15], [1, 12, 2, 13], [3, 17, 4, 16], [5, 19, 6, 18], [13, 10, 14, 11], [19, 7, 20, 6], [17, 5, 18, 4]])
|
||||||
|
knot_10_16 = Link([[14, 7, 15, 8], [4, 17, 5, 18], [10, 20, 11, 19], [8, 4, 9, 3], [2, 12, 3, 11], [12, 2, 13, 1], [18, 10, 19, 9], [16, 5, 17, 6], [6, 15, 7, 16], [20, 14, 1, 13]])
|
||||||
|
knot_10_17 = Link([[19, 4, 20, 5], [7, 17, 8, 16], [11, 20, 12, 1], [17, 9, 18, 8], [1, 12, 2, 13], [5, 11, 6, 10], [13, 2, 14, 3], [15, 7, 16, 6], [3, 14, 4, 15], [9, 19, 10, 18]])
|
||||||
|
knot_10_18 = Link([[6, 9, 7, 10], [4, 17, 5, 18], [14, 2, 15, 1], [12, 4, 13, 3], [8, 19, 9, 20], [18, 7, 19, 8], [10, 5, 11, 6], [2, 14, 3, 13], [16, 11, 17, 12], [20, 16, 1, 15]])
|
||||||
|
knot_10_19 = Link([[10, 1, 11, 2], [8, 19, 9, 20], [6, 18, 7, 17], [12, 7, 13, 8], [16, 6, 17, 5], [4, 16, 5, 15], [20, 11, 1, 12], [18, 14, 19, 13], [2, 9, 3, 10], [14, 4, 15, 3]])
|
||||||
|
knot_10_20 = Link([[6, 1, 7, 2], [18, 9, 19, 10], [2, 7, 3, 8], [12, 15, 13, 16], [16, 11, 17, 12], [10, 17, 11, 18], [4, 14, 5, 13], [8, 19, 9, 20], [20, 5, 1, 6], [14, 4, 15, 3]])
|
||||||
|
knot_10_21 = Link([[17, 8, 18, 9], [5, 16, 6, 17], [15, 4, 16, 5], [11, 1, 12, 20], [7, 18, 8, 19], [9, 12, 10, 13], [13, 2, 14, 3], [3, 14, 4, 15], [19, 6, 20, 7], [1, 11, 2, 10]])
|
||||||
|
knot_10_22 = Link([[20, 14, 1, 13], [16, 9, 17, 10], [14, 2, 15, 1], [6, 17, 7, 18], [18, 7, 19, 8], [12, 4, 13, 3], [8, 19, 9, 20], [2, 16, 3, 15], [10, 6, 11, 5], [4, 12, 5, 11]])
|
||||||
|
knot_10_23 = Link([[6, 20, 7, 19], [16, 4, 17, 3], [20, 10, 1, 9], [12, 15, 13, 16], [2, 12, 3, 11], [4, 13, 5, 14], [14, 5, 15, 6], [18, 8, 19, 7], [8, 18, 9, 17], [10, 2, 11, 1]])
|
||||||
|
knot_10_24 = Link([[14, 18, 15, 17], [20, 10, 1, 9], [16, 5, 17, 6], [2, 8, 3, 7], [8, 2, 9, 1], [12, 20, 13, 19], [18, 14, 19, 13], [10, 4, 11, 3], [6, 15, 7, 16], [4, 12, 5, 11]])
|
||||||
|
knot_10_25 = Link([[20, 13, 1, 14], [14, 1, 15, 2], [6, 17, 7, 18], [16, 5, 17, 6], [12, 3, 13, 4], [8, 20, 9, 19], [2, 15, 3, 16], [18, 10, 19, 9], [10, 7, 11, 8], [4, 11, 5, 12]])
|
||||||
|
knot_10_26 = Link([[18, 6, 19, 5], [10, 1, 11, 2], [12, 3, 13, 4], [16, 8, 17, 7], [4, 13, 5, 14], [20, 11, 1, 12], [8, 18, 9, 17], [14, 19, 15, 20], [6, 16, 7, 15], [2, 9, 3, 10]])
|
||||||
|
knot_10_27 = Link([[13, 6, 14, 7], [3, 1, 4, 20], [11, 3, 12, 2], [5, 16, 6, 17], [15, 8, 16, 9], [19, 12, 20, 13], [7, 14, 8, 15], [1, 11, 2, 10], [9, 18, 10, 19], [17, 4, 18, 5]])
|
||||||
|
knot_10_28 = Link([[6, 9, 7, 10], [2, 16, 3, 15], [18, 12, 19, 11], [12, 18, 13, 17], [16, 6, 17, 5], [4, 14, 5, 13], [8, 1, 9, 2], [20, 7, 1, 8], [10, 20, 11, 19], [14, 4, 15, 3]])
|
||||||
|
knot_10_29 = Link([[4, 17, 5, 18], [20, 10, 1, 9], [18, 14, 19, 13], [12, 20, 13, 19], [8, 2, 9, 1], [14, 5, 15, 6], [2, 15, 3, 16], [6, 11, 7, 12], [10, 7, 11, 8], [16, 3, 17, 4]])
|
||||||
|
knot_10_30 = Link([[18, 5, 19, 6], [6, 9, 7, 10], [14, 1, 15, 2], [8, 16, 9, 15], [10, 17, 11, 18], [12, 3, 13, 4], [20, 11, 1, 12], [4, 19, 5, 20], [2, 13, 3, 14], [16, 8, 17, 7]])
|
||||||
|
knot_10_31 = Link([[13, 9, 14, 8], [17, 11, 18, 10], [15, 4, 16, 5], [7, 20, 8, 1], [19, 13, 20, 12], [11, 17, 12, 16], [3, 14, 4, 15], [1, 6, 2, 7], [5, 2, 6, 3], [9, 19, 10, 18]])
|
||||||
|
knot_10_32 = Link([[18, 5, 19, 6], [16, 13, 17, 14], [12, 17, 13, 18], [10, 20, 11, 19], [4, 15, 5, 16], [20, 8, 1, 7], [6, 11, 7, 12], [2, 10, 3, 9], [8, 2, 9, 1], [14, 3, 15, 4]])
|
||||||
|
knot_10_33 = Link([[19, 4, 20, 5], [17, 9, 18, 8], [11, 2, 12, 3], [9, 17, 10, 16], [1, 12, 2, 13], [5, 11, 6, 10], [7, 19, 8, 18], [15, 7, 16, 6], [3, 14, 4, 15], [13, 20, 14, 1]])
|
||||||
|
knot_10_34 = Link([[12, 2, 13, 1], [2, 5, 3, 6], [16, 8, 17, 7], [6, 18, 7, 17], [8, 16, 9, 15], [14, 10, 15, 9], [18, 3, 19, 4], [4, 19, 5, 20], [10, 14, 11, 13], [20, 12, 1, 11]])
|
||||||
|
knot_10_35 = Link([[15, 9, 16, 8], [5, 17, 6, 16], [9, 15, 10, 14], [3, 19, 4, 18], [1, 12, 2, 13], [11, 6, 12, 7], [19, 3, 20, 2], [13, 20, 14, 1], [7, 10, 8, 11], [17, 5, 18, 4]])
|
||||||
|
knot_10_36 = Link([[3, 6, 4, 7], [9, 20, 10, 1], [11, 19, 12, 18], [7, 2, 8, 3], [1, 8, 2, 9], [5, 14, 6, 15], [17, 13, 18, 12], [19, 16, 20, 17], [15, 10, 16, 11], [13, 4, 14, 5]])
|
||||||
|
knot_10_37 = Link([[15, 9, 16, 8], [19, 13, 20, 12], [17, 15, 18, 14], [9, 17, 10, 16], [7, 20, 8, 1], [13, 19, 14, 18], [3, 10, 4, 11], [11, 4, 12, 5], [1, 6, 2, 7], [5, 2, 6, 3]])
|
||||||
|
knot_10_38 = Link([[18, 5, 19, 6], [4, 17, 5, 18], [16, 9, 17, 10], [6, 3, 7, 4], [14, 11, 15, 12], [2, 7, 3, 8], [10, 15, 11, 16], [8, 19, 9, 20], [12, 2, 13, 1], [20, 14, 1, 13]])
|
||||||
|
knot_10_39 = Link([[6, 20, 7, 19], [10, 1, 11, 2], [8, 5, 9, 6], [20, 9, 1, 10], [16, 13, 17, 14], [2, 11, 3, 12], [4, 15, 5, 16], [18, 8, 19, 7], [12, 17, 13, 18], [14, 3, 15, 4]])
|
||||||
|
knot_10_40 = Link([[7, 16, 8, 17], [5, 1, 6, 20], [11, 3, 12, 2], [1, 5, 2, 4], [3, 13, 4, 12], [13, 9, 14, 8], [19, 11, 20, 10], [15, 6, 16, 7], [17, 14, 18, 15], [9, 19, 10, 18]])
|
||||||
|
knot_10_41 = Link([[5, 8, 6, 9], [17, 10, 18, 11], [9, 16, 10, 17], [3, 19, 4, 18], [1, 12, 2, 13], [7, 15, 8, 14], [13, 20, 14, 1], [15, 7, 16, 6], [11, 4, 12, 5], [19, 3, 20, 2]])
|
||||||
|
knot_10_42 = Link([[19, 5, 20, 4], [1, 15, 2, 14], [17, 6, 18, 7], [13, 8, 14, 9], [11, 3, 12, 2], [5, 16, 6, 17], [7, 1, 8, 20], [15, 18, 16, 19], [3, 11, 4, 10], [9, 12, 10, 13]])
|
||||||
|
knot_10_43 = Link([[10, 16, 11, 15], [12, 6, 13, 5], [16, 10, 17, 9], [6, 4, 7, 3], [14, 1, 15, 2], [20, 17, 1, 18], [8, 19, 9, 20], [18, 7, 19, 8], [2, 13, 3, 14], [4, 12, 5, 11]])
|
||||||
|
knot_10_44 = Link([[1, 15, 2, 14], [17, 7, 18, 6], [19, 12, 20, 13], [9, 16, 10, 17], [15, 8, 16, 9], [7, 10, 8, 11], [13, 3, 14, 2], [11, 4, 12, 5], [3, 20, 4, 1], [5, 19, 6, 18]])
|
||||||
|
knot_10_45 = Link([[6, 20, 7, 19], [12, 5, 13, 6], [20, 13, 1, 14], [2, 16, 3, 15], [18, 12, 19, 11], [4, 1, 5, 2], [16, 9, 17, 10], [8, 17, 9, 18], [10, 8, 11, 7], [14, 4, 15, 3]])
|
||||||
|
knot_10_46 = Link([[15, 3, 16, 2], [13, 9, 14, 8], [7, 13, 8, 12], [9, 15, 10, 14], [11, 20, 12, 1], [1, 10, 2, 11], [3, 17, 4, 16], [5, 19, 6, 18], [19, 7, 20, 6], [17, 5, 18, 4]])
|
||||||
|
knot_10_47 = Link([[5, 8, 6, 9], [1, 15, 2, 14], [19, 11, 20, 10], [7, 12, 8, 13], [15, 3, 16, 2], [11, 6, 12, 7], [17, 5, 18, 4], [13, 1, 14, 20], [9, 19, 10, 18], [3, 17, 4, 16]])
|
||||||
|
knot_10_48 = Link([[13, 6, 14, 7], [3, 8, 4, 9], [17, 3, 18, 2], [11, 4, 12, 5], [1, 17, 2, 16], [19, 11, 20, 10], [15, 1, 16, 20], [7, 14, 8, 15], [5, 12, 6, 13], [9, 19, 10, 18]])
|
||||||
|
knot_10_49 = Link([[1, 14, 2, 15], [17, 6, 18, 7], [3, 8, 4, 9], [9, 4, 10, 5], [19, 12, 20, 13], [15, 2, 16, 3], [11, 16, 12, 17], [7, 10, 8, 11], [5, 18, 6, 19], [13, 20, 14, 1]])
|
||||||
|
knot_10_50 = Link([[4, 18, 5, 17], [14, 2, 15, 1], [12, 8, 13, 7], [20, 16, 1, 15], [8, 19, 9, 20], [6, 12, 7, 11], [18, 9, 19, 10], [10, 6, 11, 5], [2, 14, 3, 13], [16, 4, 17, 3]])
|
||||||
|
knot_10_51 = Link([[1, 15, 2, 14], [19, 13, 20, 12], [17, 7, 18, 6], [3, 8, 4, 9], [9, 4, 10, 5], [5, 17, 6, 16], [7, 10, 8, 11], [13, 3, 14, 2], [15, 1, 16, 20], [11, 19, 12, 18]])
|
||||||
|
knot_10_52 = Link([[20, 13, 1, 14], [2, 15, 3, 16], [6, 12, 7, 11], [12, 8, 13, 7], [4, 19, 5, 20], [18, 10, 19, 9], [10, 6, 11, 5], [16, 1, 17, 2], [8, 18, 9, 17], [14, 3, 15, 4]])
|
||||||
|
knot_10_53 = Link([[6, 19, 7, 20], [8, 11, 9, 12], [16, 3, 17, 4], [14, 1, 15, 2], [4, 9, 5, 10], [18, 7, 19, 8], [10, 5, 11, 6], [2, 13, 3, 14], [12, 17, 13, 18], [20, 15, 1, 16]])
|
||||||
|
knot_10_54 = Link([[6, 2, 7, 1], [10, 13, 11, 14], [4, 18, 5, 17], [14, 9, 15, 10], [18, 11, 19, 12], [12, 19, 13, 20], [2, 8, 3, 7], [8, 15, 9, 16], [20, 6, 1, 5], [16, 4, 17, 3]])
|
||||||
|
knot_10_55 = Link([[6, 19, 7, 20], [10, 3, 11, 4], [14, 7, 15, 8], [8, 13, 9, 14], [18, 15, 19, 16], [12, 9, 13, 10], [2, 17, 3, 18], [16, 1, 17, 2], [20, 5, 1, 6], [4, 11, 5, 12]])
|
||||||
|
knot_10_56 = Link([[11, 19, 12, 18], [13, 9, 14, 8], [17, 11, 18, 10], [7, 3, 8, 2], [15, 4, 16, 5], [19, 15, 20, 14], [5, 1, 6, 20], [9, 13, 10, 12], [1, 7, 2, 6], [3, 16, 4, 17]])
|
||||||
|
knot_10_57 = Link([[10, 13, 11, 14], [16, 4, 17, 3], [2, 16, 3, 15], [14, 20, 15, 19], [12, 7, 13, 8], [4, 2, 5, 1], [8, 18, 9, 17], [6, 11, 7, 12], [20, 6, 1, 5], [18, 10, 19, 9]])
|
||||||
|
knot_10_58 = Link([[6, 19, 7, 20], [10, 4, 11, 3], [2, 16, 3, 15], [4, 10, 5, 9], [12, 7, 13, 8], [14, 17, 15, 18], [8, 11, 9, 12], [18, 13, 19, 14], [16, 2, 17, 1], [20, 5, 1, 6]])
|
||||||
|
knot_10_59 = Link([[18, 12, 19, 11], [16, 4, 17, 3], [6, 14, 7, 13], [8, 15, 9, 16], [4, 1, 5, 2], [14, 9, 15, 10], [2, 18, 3, 17], [12, 20, 13, 19], [20, 5, 1, 6], [10, 8, 11, 7]])
|
||||||
|
knot_10_60 = Link([[10, 16, 11, 15], [6, 10, 7, 9], [2, 7, 3, 8], [18, 11, 19, 12], [12, 17, 13, 18], [4, 13, 5, 14], [8, 1, 9, 2], [16, 20, 17, 19], [20, 6, 1, 5], [14, 3, 15, 4]])
|
||||||
|
knot_10_61 = Link([[18, 6, 19, 5], [14, 8, 15, 7], [4, 18, 5, 17], [6, 20, 7, 19], [8, 16, 9, 15], [2, 11, 3, 12], [16, 10, 17, 9], [12, 1, 13, 2], [10, 3, 11, 4], [20, 13, 1, 14]])
|
||||||
|
knot_10_62 = Link([[1, 15, 2, 14], [17, 7, 18, 6], [5, 17, 6, 16], [19, 9, 20, 8], [15, 3, 16, 2], [7, 19, 8, 18], [9, 12, 10, 13], [3, 10, 4, 11], [11, 4, 12, 5], [13, 1, 14, 20]])
|
||||||
|
knot_10_63 = Link([[13, 6, 14, 7], [1, 14, 2, 15], [3, 20, 4, 1], [17, 10, 18, 11], [19, 8, 20, 9], [15, 2, 16, 3], [7, 4, 8, 5], [11, 16, 12, 17], [5, 12, 6, 13], [9, 18, 10, 19]])
|
||||||
|
knot_10_64 = Link([[18, 6, 19, 5], [10, 3, 11, 4], [4, 18, 5, 17], [16, 10, 17, 9], [6, 20, 7, 19], [14, 8, 15, 7], [8, 16, 9, 15], [20, 11, 1, 12], [12, 1, 13, 2], [2, 13, 3, 14]])
|
||||||
|
knot_10_65 = Link([[18, 5, 19, 6], [14, 8, 15, 7], [4, 17, 5, 18], [6, 14, 7, 13], [16, 19, 17, 20], [12, 4, 13, 3], [20, 12, 1, 11], [8, 16, 9, 15], [2, 10, 3, 9], [10, 2, 11, 1]])
|
||||||
|
knot_10_66 = Link([[13, 6, 14, 7], [11, 14, 12, 15], [15, 18, 16, 19], [1, 8, 2, 9], [7, 20, 8, 1], [3, 16, 4, 17], [19, 10, 20, 11], [9, 2, 10, 3], [5, 12, 6, 13], [17, 4, 18, 5]])
|
||||||
|
knot_10_67 = Link([[11, 14, 12, 15], [17, 2, 18, 3], [19, 8, 20, 9], [15, 4, 16, 5], [1, 13, 2, 12], [5, 10, 6, 11], [7, 18, 8, 19], [13, 1, 14, 20], [9, 6, 10, 7], [3, 16, 4, 17]])
|
||||||
|
knot_10_68 = Link([[17, 9, 18, 8], [11, 2, 12, 3], [15, 4, 16, 5], [5, 14, 6, 15], [1, 12, 2, 13], [13, 20, 14, 1], [7, 11, 8, 10], [19, 6, 20, 7], [9, 19, 10, 18], [3, 16, 4, 17]])
|
||||||
|
knot_10_69 = Link([[13, 16, 14, 17], [15, 3, 16, 2], [11, 1, 12, 20], [17, 8, 18, 9], [9, 12, 10, 13], [7, 5, 8, 4], [3, 15, 4, 14], [5, 19, 6, 18], [19, 7, 20, 6], [1, 11, 2, 10]])
|
||||||
|
knot_10_70 = Link([[17, 9, 18, 8], [15, 18, 16, 19], [3, 12, 4, 13], [9, 17, 10, 16], [19, 14, 20, 15], [5, 1, 6, 20], [11, 4, 12, 5], [1, 7, 2, 6], [13, 11, 14, 10], [7, 3, 8, 2]])
|
||||||
|
knot_10_71 = Link([[18, 6, 19, 5], [6, 9, 7, 10], [4, 18, 5, 17], [10, 15, 11, 16], [14, 11, 15, 12], [8, 3, 9, 4], [2, 7, 3, 8], [16, 20, 17, 19], [12, 2, 13, 1], [20, 14, 1, 13]])
|
||||||
|
knot_10_72 = Link([[6, 2, 7, 1], [16, 14, 17, 13], [8, 18, 9, 17], [18, 11, 19, 12], [10, 19, 11, 20], [2, 8, 3, 7], [4, 16, 5, 15], [12, 10, 13, 9], [20, 6, 1, 5], [14, 4, 15, 3]])
|
||||||
|
knot_10_73 = Link([[15, 2, 16, 3], [17, 8, 18, 9], [19, 17, 20, 16], [1, 5, 2, 4], [5, 10, 6, 11], [7, 18, 8, 19], [9, 12, 10, 13], [11, 6, 12, 7], [3, 14, 4, 15], [13, 1, 14, 20]])
|
||||||
|
knot_10_74 = Link([[6, 19, 7, 20], [10, 13, 11, 14], [16, 3, 17, 4], [20, 9, 1, 10], [18, 7, 19, 8], [2, 12, 3, 11], [4, 15, 5, 16], [14, 5, 15, 6], [12, 2, 13, 1], [8, 17, 9, 18]])
|
||||||
|
knot_10_75 = Link([[17, 7, 18, 6], [13, 5, 14, 4], [7, 20, 8, 1], [3, 15, 4, 14], [19, 16, 20, 17], [11, 8, 12, 9], [9, 3, 10, 2], [15, 12, 16, 13], [5, 19, 6, 18], [1, 11, 2, 10]])
|
||||||
|
knot_10_76 = Link([[7, 16, 8, 17], [17, 6, 18, 7], [3, 9, 4, 8], [9, 5, 10, 4], [15, 19, 16, 18], [11, 1, 12, 20], [19, 15, 20, 14], [1, 13, 2, 12], [5, 11, 6, 10], [13, 3, 14, 2]])
|
||||||
|
knot_10_77 = Link([[10, 15, 11, 16], [6, 18, 7, 17], [16, 11, 17, 12], [4, 2, 5, 1], [8, 20, 9, 19], [12, 9, 13, 10], [18, 8, 19, 7], [2, 14, 3, 13], [20, 6, 1, 5], [14, 4, 15, 3]])
|
||||||
|
knot_10_78 = Link([[12, 1, 13, 2], [10, 15, 11, 16], [2, 5, 3, 6], [20, 13, 1, 14], [16, 8, 17, 7], [6, 18, 7, 17], [14, 9, 15, 10], [18, 3, 19, 4], [4, 19, 5, 20], [8, 11, 9, 12]])
|
||||||
|
knot_10_79 = Link([[14, 7, 15, 8], [6, 13, 7, 14], [18, 12, 19, 11], [4, 9, 5, 10], [8, 3, 9, 4], [2, 18, 3, 17], [10, 5, 11, 6], [16, 2, 17, 1], [12, 20, 13, 19], [20, 16, 1, 15]])
|
||||||
|
knot_10_80 = Link([[6, 1, 7, 2], [12, 15, 13, 16], [4, 17, 5, 18], [14, 9, 15, 10], [18, 11, 19, 12], [8, 13, 9, 14], [10, 19, 11, 20], [2, 7, 3, 8], [20, 5, 1, 6], [16, 3, 17, 4]])
|
||||||
|
knot_10_81 = Link([[6, 2, 7, 1], [12, 15, 13, 16], [16, 4, 17, 3], [18, 11, 19, 12], [8, 13, 9, 14], [10, 19, 11, 20], [14, 9, 15, 10], [2, 18, 3, 17], [4, 8, 5, 7], [20, 6, 1, 5]])
|
||||||
|
knot_10_82 = Link([[12, 6, 13, 5], [6, 17, 7, 18], [14, 20, 15, 19], [16, 11, 17, 12], [4, 16, 5, 15], [20, 7, 1, 8], [18, 14, 19, 13], [10, 3, 11, 4], [8, 1, 9, 2], [2, 9, 3, 10]])
|
||||||
|
knot_10_83 = Link([[1, 14, 2, 15], [11, 19, 12, 18], [5, 1, 6, 20], [3, 8, 4, 9], [13, 4, 14, 5], [9, 17, 10, 16], [17, 13, 18, 12], [19, 11, 20, 10], [15, 7, 16, 6], [7, 2, 8, 3]])
|
||||||
|
knot_10_84 = Link([[12, 18, 13, 17], [8, 14, 9, 13], [20, 6, 1, 5], [16, 12, 17, 11], [18, 7, 19, 8], [14, 19, 15, 20], [4, 2, 5, 1], [10, 4, 11, 3], [6, 15, 7, 16], [2, 10, 3, 9]])
|
||||||
|
knot_10_85 = Link([[1, 14, 2, 15], [17, 9, 18, 8], [11, 19, 12, 18], [7, 13, 8, 12], [9, 4, 10, 5], [15, 2, 16, 3], [5, 10, 6, 11], [13, 20, 14, 1], [19, 6, 20, 7], [3, 16, 4, 17]])
|
||||||
|
knot_10_86 = Link([[15, 3, 16, 2], [7, 13, 8, 12], [9, 4, 10, 5], [17, 11, 18, 10], [19, 8, 20, 9], [11, 7, 12, 6], [1, 17, 2, 16], [3, 15, 4, 14], [5, 18, 6, 19], [13, 1, 14, 20]])
|
||||||
|
knot_10_87 = Link([[15, 3, 16, 2], [19, 10, 20, 11], [7, 12, 8, 13], [1, 5, 2, 4], [9, 15, 10, 14], [17, 9, 18, 8], [11, 6, 12, 7], [13, 18, 14, 19], [5, 1, 6, 20], [3, 17, 4, 16]])
|
||||||
|
knot_10_88 = Link([[15, 13, 16, 12], [13, 8, 14, 9], [1, 4, 2, 5], [11, 20, 12, 1], [17, 3, 18, 2], [5, 10, 6, 11], [7, 14, 8, 15], [9, 19, 10, 18], [19, 7, 20, 6], [3, 17, 4, 16]])
|
||||||
|
knot_10_89 = Link([[18, 5, 19, 6], [14, 7, 15, 8], [6, 4, 7, 3], [10, 17, 11, 18], [8, 1, 9, 2], [12, 10, 13, 9], [4, 19, 5, 20], [2, 13, 3, 14], [16, 11, 17, 12], [20, 16, 1, 15]])
|
||||||
|
knot_10_90 = Link([[9, 1, 10, 20], [17, 11, 18, 10], [7, 3, 8, 2], [1, 9, 2, 8], [19, 15, 20, 14], [13, 19, 14, 18], [15, 6, 16, 7], [11, 4, 12, 5], [5, 12, 6, 13], [3, 16, 4, 17]])
|
||||||
|
knot_10_91 = Link([[13, 6, 14, 7], [3, 12, 4, 13], [1, 8, 2, 9], [7, 20, 8, 1], [19, 15, 20, 14], [11, 17, 12, 16], [9, 2, 10, 3], [5, 19, 6, 18], [15, 11, 16, 10], [17, 5, 18, 4]])
|
||||||
|
knot_10_92 = Link([[15, 2, 16, 3], [13, 9, 14, 8], [7, 5, 8, 4], [11, 1, 12, 20], [9, 15, 10, 14], [3, 11, 4, 10], [17, 13, 18, 12], [1, 16, 2, 17], [5, 19, 6, 18], [19, 7, 20, 6]])
|
||||||
|
knot_10_93 = Link([[6, 20, 7, 19], [12, 7, 13, 8], [10, 17, 11, 18], [14, 2, 15, 1], [18, 11, 19, 12], [8, 3, 9, 4], [16, 6, 17, 5], [4, 9, 5, 10], [2, 14, 3, 13], [20, 16, 1, 15]])
|
||||||
|
knot_10_94 = Link([[6, 19, 7, 20], [12, 6, 13, 5], [20, 14, 1, 13], [14, 2, 15, 1], [18, 11, 19, 12], [8, 4, 9, 3], [4, 10, 5, 9], [2, 16, 3, 15], [10, 17, 11, 18], [16, 7, 17, 8]])
|
||||||
|
knot_10_95 = Link([[3, 6, 4, 7], [7, 19, 8, 18], [9, 15, 10, 14], [17, 3, 18, 2], [15, 9, 16, 8], [1, 17, 2, 16], [19, 11, 20, 10], [11, 4, 12, 5], [5, 12, 6, 13], [13, 1, 14, 20]])
|
||||||
|
knot_10_96 = Link([[17, 3, 18, 2], [1, 4, 2, 5], [9, 15, 10, 14], [13, 18, 14, 19], [7, 20, 8, 1], [15, 9, 16, 8], [11, 7, 12, 6], [19, 10, 20, 11], [5, 13, 6, 12], [3, 17, 4, 16]])
|
||||||
|
knot_10_97 = Link([[10, 3, 11, 4], [2, 16, 3, 15], [8, 12, 9, 11], [6, 18, 7, 17], [4, 9, 5, 10], [12, 20, 13, 19], [14, 6, 15, 5], [20, 8, 1, 7], [18, 14, 19, 13], [16, 2, 17, 1]])
|
||||||
|
knot_10_98 = Link([[12, 5, 13, 6], [10, 2, 11, 1], [6, 13, 7, 14], [2, 15, 3, 16], [18, 7, 19, 8], [14, 9, 15, 10], [20, 12, 1, 11], [4, 19, 5, 20], [8, 17, 9, 18], [16, 3, 17, 4]])
|
||||||
|
knot_10_99 = Link([[14, 8, 15, 7], [4, 17, 5, 18], [6, 14, 7, 13], [16, 3, 17, 4], [12, 19, 13, 20], [8, 2, 9, 1], [10, 6, 11, 5], [20, 15, 1, 16], [18, 11, 19, 12], [2, 10, 3, 9]])
|
||||||
|
knot_10_100 = Link([[18, 5, 19, 6], [20, 13, 1, 14], [6, 19, 7, 20], [14, 1, 15, 2], [8, 4, 9, 3], [12, 8, 13, 7], [16, 9, 17, 10], [2, 15, 3, 16], [10, 17, 11, 18], [4, 12, 5, 11]])
|
||||||
|
knot_10_101 = Link([[15, 3, 16, 2], [13, 9, 14, 8], [9, 17, 10, 16], [11, 1, 12, 20], [7, 5, 8, 4], [17, 13, 18, 12], [3, 15, 4, 14], [5, 19, 6, 18], [19, 7, 20, 6], [1, 11, 2, 10]])
|
||||||
|
knot_10_102 = Link([[13, 7, 14, 6], [15, 8, 16, 9], [11, 1, 12, 20], [7, 18, 8, 19], [19, 15, 20, 14], [1, 11, 2, 10], [3, 16, 4, 17], [9, 3, 10, 2], [5, 13, 6, 12], [17, 4, 18, 5]])
|
||||||
|
knot_10_103 = Link([[18, 5, 19, 6], [12, 8, 13, 7], [6, 19, 7, 20], [10, 17, 11, 18], [14, 1, 15, 2], [8, 4, 9, 3], [20, 15, 1, 16], [16, 9, 17, 10], [2, 13, 3, 14], [4, 12, 5, 11]])
|
||||||
|
knot_10_104 = Link([[1, 12, 2, 13], [11, 18, 12, 19], [9, 17, 10, 16], [7, 1, 8, 20], [15, 9, 16, 8], [5, 11, 6, 10], [13, 2, 14, 3], [3, 14, 4, 15], [19, 7, 20, 6], [17, 4, 18, 5]])
|
||||||
|
knot_10_105 = Link([[6, 2, 7, 1], [14, 8, 15, 7], [4, 17, 5, 18], [16, 5, 17, 6], [12, 3, 13, 4], [8, 12, 9, 11], [18, 10, 19, 9], [2, 13, 3, 14], [10, 20, 11, 19], [20, 16, 1, 15]])
|
||||||
|
knot_10_106 = Link([[18, 6, 19, 5], [16, 3, 17, 4], [6, 20, 7, 19], [20, 10, 1, 9], [2, 12, 3, 11], [4, 13, 5, 14], [8, 15, 9, 16], [14, 7, 15, 8], [12, 18, 13, 17], [10, 2, 11, 1]])
|
||||||
|
knot_10_107 = Link([[18, 9, 19, 10], [6, 13, 7, 14], [14, 2, 15, 1], [16, 19, 17, 20], [2, 12, 3, 11], [12, 7, 13, 8], [4, 16, 5, 15], [8, 17, 9, 18], [10, 4, 11, 3], [20, 6, 1, 5]])
|
||||||
|
knot_10_108 = Link([[11, 20, 12, 1], [15, 9, 16, 8], [13, 19, 14, 18], [1, 10, 2, 11], [3, 17, 4, 16], [9, 2, 10, 3], [7, 15, 8, 14], [19, 6, 20, 7], [5, 12, 6, 13], [17, 5, 18, 4]])
|
||||||
|
knot_10_109 = Link([[12, 3, 13, 4], [16, 8, 17, 7], [18, 12, 19, 11], [6, 16, 7, 15], [4, 13, 5, 14], [8, 1, 9, 2], [14, 20, 15, 19], [10, 18, 11, 17], [20, 5, 1, 6], [2, 9, 3, 10]])
|
||||||
|
knot_10_110 = Link([[18, 9, 19, 10], [12, 7, 13, 8], [6, 13, 7, 14], [14, 2, 15, 1], [2, 12, 3, 11], [16, 5, 17, 6], [4, 19, 5, 20], [10, 4, 11, 3], [8, 17, 9, 18], [20, 16, 1, 15]])
|
||||||
|
knot_10_111 = Link([[16, 3, 17, 4], [6, 14, 7, 13], [18, 12, 19, 11], [12, 8, 13, 7], [20, 6, 1, 5], [4, 15, 5, 16], [14, 20, 15, 19], [10, 18, 11, 17], [8, 2, 9, 1], [2, 10, 3, 9]])
|
||||||
|
knot_10_112 = Link([[6, 19, 7, 20], [4, 18, 5, 17], [14, 1, 15, 2], [18, 12, 19, 11], [8, 4, 9, 3], [12, 8, 13, 7], [16, 9, 17, 10], [2, 15, 3, 16], [10, 5, 11, 6], [20, 13, 1, 14]])
|
||||||
|
knot_10_113 = Link([[1, 15, 2, 14], [15, 13, 16, 12], [9, 4, 10, 5], [5, 17, 6, 16], [19, 9, 20, 8], [7, 3, 8, 2], [3, 18, 4, 19], [17, 10, 18, 11], [11, 7, 12, 6], [13, 1, 14, 20]])
|
||||||
|
knot_10_114 = Link([[18, 6, 19, 5], [16, 3, 17, 4], [6, 13, 7, 14], [20, 9, 1, 10], [2, 7, 3, 8], [10, 16, 11, 15], [8, 1, 9, 2], [14, 20, 15, 19], [12, 17, 13, 18], [4, 12, 5, 11]])
|
||||||
|
knot_10_115 = Link([[13, 7, 14, 6], [9, 20, 10, 1], [7, 13, 8, 12], [11, 3, 12, 2], [17, 8, 18, 9], [19, 4, 20, 5], [1, 16, 2, 17], [3, 15, 4, 14], [5, 18, 6, 19], [15, 11, 16, 10]])
|
||||||
|
knot_10_116 = Link([[6, 19, 7, 20], [12, 6, 13, 5], [20, 14, 1, 13], [2, 15, 3, 16], [18, 11, 19, 12], [4, 10, 5, 9], [10, 17, 11, 18], [8, 2, 9, 1], [14, 7, 15, 8], [16, 3, 17, 4]])
|
||||||
|
knot_10_117 = Link([[6, 2, 7, 1], [12, 6, 13, 5], [4, 17, 5, 18], [10, 15, 11, 16], [2, 12, 3, 11], [20, 13, 1, 14], [8, 19, 9, 20], [18, 9, 19, 10], [14, 7, 15, 8], [16, 3, 17, 4]])
|
||||||
|
knot_10_118 = Link([[15, 3, 16, 2], [7, 13, 8, 12], [17, 10, 18, 11], [9, 14, 10, 15], [1, 9, 2, 8], [13, 20, 14, 1], [11, 5, 12, 4], [5, 18, 6, 19], [19, 6, 20, 7], [3, 17, 4, 16]])
|
||||||
|
knot_10_119 = Link([[15, 2, 16, 3], [9, 4, 10, 5], [19, 13, 20, 12], [17, 9, 18, 8], [11, 7, 12, 6], [13, 19, 14, 18], [7, 15, 8, 14], [1, 10, 2, 11], [5, 1, 6, 20], [3, 16, 4, 17]])
|
||||||
|
knot_10_120 = Link([[6, 1, 7, 2], [12, 5, 13, 6], [2, 15, 3, 16], [4, 9, 5, 10], [8, 13, 9, 14], [18, 3, 19, 4], [20, 7, 1, 8], [14, 19, 15, 20], [10, 17, 11, 18], [16, 11, 17, 12]])
|
||||||
|
knot_10_121 = Link([[18, 5, 19, 6], [20, 13, 1, 14], [2, 16, 3, 15], [14, 9, 15, 10], [8, 2, 9, 1], [4, 19, 5, 20], [6, 11, 7, 12], [10, 3, 11, 4], [12, 17, 13, 18], [16, 8, 17, 7]])
|
||||||
|
knot_10_122 = Link([[11, 19, 12, 18], [9, 16, 10, 17], [3, 13, 4, 12], [1, 9, 2, 8], [5, 10, 6, 11], [13, 3, 14, 2], [15, 20, 16, 1], [7, 15, 8, 14], [19, 6, 20, 7], [17, 5, 18, 4]])
|
||||||
|
knot_10_123 = Link([[18, 6, 19, 5], [16, 3, 17, 4], [6, 14, 7, 13], [14, 2, 15, 1], [8, 15, 9, 16], [10, 18, 11, 17], [20, 7, 1, 8], [2, 10, 3, 9], [12, 19, 13, 20], [4, 11, 5, 12]])
|
||||||
|
knot_10_124 = Link([[15, 3, 16, 2], [10, 2, 11, 1], [7, 13, 8, 12], [9, 15, 10, 14], [13, 9, 14, 8], [20, 12, 1, 11], [3, 17, 4, 16], [5, 19, 6, 18], [19, 7, 20, 6], [17, 5, 18, 4]])
|
||||||
|
knot_10_125 = Link([[15, 3, 16, 2], [11, 20, 12, 1], [12, 7, 13, 8], [8, 13, 9, 14], [14, 9, 15, 10], [1, 10, 2, 11], [3, 17, 4, 16], [5, 19, 6, 18], [19, 7, 20, 6], [17, 5, 18, 4]])
|
||||||
|
knot_10_126 = Link([[18, 5, 19, 6], [16, 3, 17, 4], [7, 13, 8, 12], [6, 19, 7, 20], [2, 15, 3, 16], [9, 15, 10, 14], [11, 20, 12, 1], [13, 9, 14, 8], [1, 10, 2, 11], [4, 17, 5, 18]])
|
||||||
|
knot_10_127 = Link([[18, 6, 19, 5], [1, 14, 2, 15], [3, 8, 4, 9], [9, 4, 10, 5], [19, 12, 20, 13], [6, 18, 7, 17], [15, 2, 16, 3], [11, 16, 12, 17], [7, 10, 8, 11], [13, 20, 14, 1]])
|
||||||
|
knot_10_128 = Link([[18, 6, 19, 5], [7, 13, 8, 12], [3, 9, 4, 8], [6, 20, 7, 19], [14, 2, 15, 1], [10, 18, 11, 17], [16, 10, 17, 9], [11, 5, 12, 4], [2, 14, 3, 13], [20, 16, 1, 15]])
|
||||||
|
knot_10_129 = Link([[18, 6, 19, 5], [12, 7, 13, 8], [6, 20, 7, 19], [17, 10, 18, 11], [14, 2, 15, 1], [9, 16, 10, 17], [8, 3, 9, 4], [20, 16, 1, 15], [2, 14, 3, 13], [4, 11, 5, 12]])
|
||||||
|
knot_10_130 = Link([[17, 8, 18, 9], [20, 13, 1, 14], [2, 15, 3, 16], [6, 12, 7, 11], [12, 8, 13, 7], [4, 19, 5, 20], [10, 6, 11, 5], [16, 1, 17, 2], [9, 18, 10, 19], [14, 3, 15, 4]])
|
||||||
|
knot_10_131 = Link([[20, 13, 1, 14], [7, 12, 8, 13], [2, 15, 3, 16], [11, 6, 12, 7], [5, 10, 6, 11], [4, 19, 5, 20], [18, 10, 19, 9], [16, 1, 17, 2], [8, 18, 9, 17], [14, 3, 15, 4]])
|
||||||
|
knot_10_132 = Link([[20, 13, 1, 14], [17, 10, 18, 11], [14, 1, 15, 2], [7, 3, 8, 2], [12, 15, 13, 16], [3, 18, 4, 19], [4, 10, 5, 9], [16, 5, 17, 6], [11, 7, 12, 6], [8, 19, 9, 20]])
|
||||||
|
knot_10_133 = Link([[20, 13, 1, 14], [9, 4, 10, 5], [17, 10, 18, 11], [5, 17, 6, 16], [14, 1, 15, 2], [12, 15, 13, 16], [3, 18, 4, 19], [19, 9, 20, 8], [2, 7, 3, 8], [6, 11, 7, 12]])
|
||||||
|
knot_10_134 = Link([[1, 15, 2, 14], [15, 13, 16, 12], [5, 17, 6, 16], [7, 3, 8, 2], [19, 9, 20, 8], [4, 10, 5, 9], [10, 18, 11, 17], [11, 7, 12, 6], [18, 4, 19, 3], [13, 1, 14, 20]])
|
||||||
|
knot_10_135 = Link([[17, 8, 18, 9], [10, 13, 11, 14], [16, 4, 17, 3], [2, 16, 3, 15], [12, 7, 13, 8], [4, 2, 5, 1], [14, 20, 15, 19], [6, 11, 7, 12], [20, 6, 1, 5], [9, 18, 10, 19]])
|
||||||
|
knot_10_136 = Link([[1, 15, 2, 14], [15, 13, 16, 12], [8, 19, 9, 20], [4, 10, 5, 9], [16, 5, 17, 6], [2, 7, 3, 8], [18, 4, 19, 3], [6, 11, 7, 12], [10, 18, 11, 17], [13, 1, 14, 20]])
|
||||||
|
knot_10_137 = Link([[10, 16, 11, 15], [16, 20, 17, 19], [7, 3, 8, 2], [18, 11, 19, 12], [1, 9, 2, 8], [4, 13, 5, 14], [5, 20, 6, 1], [9, 6, 10, 7], [12, 17, 13, 18], [14, 3, 15, 4]])
|
||||||
|
knot_10_138 = Link([[10, 16, 11, 15], [6, 10, 7, 9], [13, 5, 14, 4], [18, 11, 19, 12], [12, 17, 13, 18], [2, 7, 3, 8], [8, 1, 9, 2], [16, 20, 17, 19], [3, 15, 4, 14], [20, 6, 1, 5]])
|
||||||
|
knot_10_139 = Link([[15, 9, 16, 8], [4, 18, 5, 17], [18, 12, 19, 11], [9, 17, 10, 16], [7, 1, 8, 20], [5, 11, 6, 10], [12, 2, 13, 1], [19, 7, 20, 6], [2, 14, 3, 13], [14, 4, 15, 3]])
|
||||||
|
knot_10_140 = Link([[14, 8, 15, 7], [20, 13, 1, 14], [8, 16, 9, 15], [2, 11, 3, 12], [16, 10, 17, 9], [12, 1, 13, 2], [5, 18, 6, 19], [10, 3, 11, 4], [19, 6, 20, 7], [17, 4, 18, 5]])
|
||||||
|
knot_10_141 = Link([[18, 6, 19, 5], [1, 14, 2, 15], [16, 3, 17, 4], [6, 14, 7, 13], [10, 18, 11, 17], [15, 9, 16, 8], [20, 7, 1, 8], [9, 2, 10, 3], [12, 19, 13, 20], [4, 11, 5, 12]])
|
||||||
|
knot_10_142 = Link([[18, 6, 19, 5], [4, 18, 5, 17], [11, 3, 12, 2], [6, 20, 7, 19], [1, 13, 2, 12], [16, 10, 17, 9], [3, 11, 4, 10], [8, 16, 9, 15], [14, 8, 15, 7], [13, 1, 14, 20]])
|
||||||
|
knot_10_143 = Link([[13, 6, 14, 7], [18, 11, 19, 12], [1, 8, 2, 9], [12, 19, 13, 20], [9, 2, 10, 3], [5, 10, 6, 11], [7, 14, 8, 15], [3, 17, 4, 16], [15, 1, 16, 20], [17, 5, 18, 4]])
|
||||||
|
knot_10_144 = Link([[15, 3, 16, 2], [6, 9, 7, 10], [13, 5, 14, 4], [18, 11, 19, 12], [10, 17, 11, 18], [16, 19, 17, 20], [8, 1, 9, 2], [20, 7, 1, 8], [3, 15, 4, 14], [5, 13, 6, 12]])
|
||||||
|
knot_10_145 = Link([[3, 8, 4, 9], [13, 4, 14, 5], [16, 11, 17, 12], [6, 15, 7, 16], [1, 12, 2, 13], [18, 7, 19, 8], [9, 2, 10, 3], [14, 19, 15, 20], [10, 17, 11, 18], [20, 6, 1, 5]])
|
||||||
|
knot_10_146 = Link([[17, 7, 18, 6], [10, 1, 11, 2], [16, 13, 17, 14], [20, 9, 1, 10], [12, 7, 13, 8], [19, 5, 20, 4], [2, 16, 3, 15], [5, 19, 6, 18], [8, 11, 9, 12], [14, 4, 15, 3]])
|
||||||
|
knot_10_147 = Link([[1, 15, 2, 14], [15, 13, 16, 12], [9, 4, 10, 5], [17, 10, 18, 11], [5, 17, 6, 16], [2, 7, 3, 8], [11, 7, 12, 6], [18, 4, 19, 3], [8, 19, 9, 20], [13, 1, 14, 20]])
|
||||||
|
knot_10_148 = Link([[6, 19, 7, 20], [11, 18, 12, 19], [9, 17, 10, 16], [1, 12, 2, 13], [15, 9, 16, 8], [5, 11, 6, 10], [13, 2, 14, 3], [20, 7, 1, 8], [3, 14, 4, 15], [17, 4, 18, 5]])
|
||||||
|
knot_10_149 = Link([[6, 13, 7, 14], [18, 12, 19, 11], [8, 3, 9, 4], [4, 9, 5, 10], [17, 2, 18, 3], [1, 16, 2, 17], [15, 20, 16, 1], [10, 5, 11, 6], [14, 7, 15, 8], [12, 20, 13, 19]])
|
||||||
|
knot_10_150 = Link([[1, 15, 2, 14], [15, 13, 16, 12], [5, 17, 6, 16], [4, 10, 5, 9], [10, 18, 11, 17], [2, 7, 3, 8], [11, 7, 12, 6], [18, 4, 19, 3], [8, 19, 9, 20], [13, 1, 14, 20]])
|
||||||
|
knot_10_151 = Link([[6, 2, 7, 1], [11, 19, 12, 18], [16, 4, 17, 3], [12, 15, 13, 16], [8, 13, 9, 14], [14, 9, 15, 10], [19, 11, 20, 10], [2, 18, 3, 17], [4, 8, 5, 7], [20, 6, 1, 5]])
|
||||||
|
knot_10_152 = Link([[11, 18, 12, 19], [6, 13, 7, 14], [19, 12, 20, 13], [8, 3, 9, 4], [4, 9, 5, 10], [17, 2, 18, 3], [1, 16, 2, 17], [15, 20, 16, 1], [10, 5, 11, 6], [14, 7, 15, 8]])
|
||||||
|
knot_10_153 = Link([[6, 1, 7, 2], [11, 19, 12, 18], [4, 17, 5, 18], [13, 9, 14, 8], [9, 15, 10, 14], [2, 7, 3, 8], [19, 11, 20, 10], [15, 13, 16, 12], [20, 5, 1, 6], [16, 3, 17, 4]])
|
||||||
|
knot_10_154 = Link([[6, 2, 7, 1], [11, 19, 12, 18], [16, 4, 17, 3], [13, 9, 14, 8], [9, 15, 10, 14], [19, 11, 20, 10], [2, 18, 3, 17], [15, 13, 16, 12], [4, 8, 5, 7], [20, 6, 1, 5]])
|
||||||
|
knot_10_155 = Link([[18, 5, 19, 6], [1, 15, 2, 14], [6, 19, 7, 20], [12, 8, 13, 7], [15, 3, 16, 2], [8, 4, 9, 3], [16, 9, 17, 10], [10, 17, 11, 18], [13, 1, 14, 20], [4, 12, 5, 11]])
|
||||||
|
knot_10_156 = Link([[9, 4, 10, 5], [6, 13, 7, 14], [18, 8, 19, 7], [2, 11, 3, 12], [20, 18, 1, 17], [8, 20, 9, 19], [14, 5, 15, 6], [12, 1, 13, 2], [15, 10, 16, 11], [3, 16, 4, 17]])
|
||||||
|
knot_10_157 = Link([[14, 8, 15, 7], [11, 19, 12, 18], [6, 14, 7, 13], [19, 13, 20, 12], [5, 10, 6, 11], [8, 2, 9, 1], [3, 17, 4, 16], [20, 15, 1, 16], [17, 5, 18, 4], [2, 10, 3, 9]])
|
||||||
|
knot_10_158 = Link([[7, 13, 8, 12], [3, 9, 4, 8], [17, 10, 18, 11], [14, 2, 15, 1], [9, 16, 10, 17], [11, 5, 12, 4], [5, 18, 6, 19], [2, 14, 3, 13], [19, 6, 20, 7], [20, 16, 1, 15]])
|
||||||
|
knot_10_159 = Link([[11, 19, 12, 18], [16, 3, 17, 4], [7, 13, 8, 12], [2, 15, 3, 16], [9, 14, 10, 15], [1, 9, 2, 8], [5, 10, 6, 11], [19, 6, 20, 7], [13, 20, 14, 1], [4, 17, 5, 18]])
|
||||||
|
knot_10_160 = Link([[6, 20, 7, 19], [11, 19, 12, 18], [16, 10, 17, 9], [3, 13, 4, 12], [8, 1, 9, 2], [13, 3, 14, 2], [10, 6, 11, 5], [14, 7, 15, 8], [17, 5, 18, 4], [20, 16, 1, 15]])
|
||||||
|
knot_10_161 = Link([[6, 19, 7, 20], [11, 18, 12, 19], [8, 15, 9, 16], [1, 12, 2, 13], [5, 11, 6, 10], [16, 9, 17, 10], [13, 2, 14, 3], [20, 7, 1, 8], [3, 14, 4, 15], [17, 4, 18, 5]])
|
||||||
|
knot_10_162 = Link([[17, 7, 18, 6], [5, 17, 6, 16], [9, 15, 10, 14], [18, 12, 19, 11], [1, 9, 2, 8], [12, 4, 13, 3], [7, 5, 8, 4], [15, 1, 16, 20], [2, 14, 3, 13], [10, 20, 11, 19]])
|
||||||
|
knot_10_163 = Link([[1, 14, 2, 15], [4, 18, 5, 17], [13, 9, 14, 8], [18, 11, 19, 12], [16, 6, 17, 5], [7, 20, 8, 1], [12, 19, 13, 20], [10, 3, 11, 4], [6, 16, 7, 15], [2, 9, 3, 10]])
|
||||||
|
knot_10_164 = Link([[18, 6, 19, 5], [9, 1, 10, 20], [16, 3, 17, 4], [6, 13, 7, 14], [7, 3, 8, 2], [1, 9, 2, 8], [10, 16, 11, 15], [14, 20, 15, 19], [12, 17, 13, 18], [4, 12, 5, 11]])
|
||||||
|
knot_10_165 = Link([[11, 19, 12, 18], [3, 13, 4, 12], [9, 16, 10, 17], [5, 10, 6, 11], [8, 1, 9, 2], [13, 3, 14, 2], [19, 6, 20, 7], [14, 7, 15, 8], [17, 5, 18, 4], [20, 16, 1, 15]])
|
||||||
|
|
||||||
|
|
||||||
|
knot_11n45 = Link([[4,2,5,1], [8,4,9,3], [12,5,13,6], [2,8,3,7], [9,21,10,20], [11,18,12,19], [6,13,7,14], [15,10,16,11], [17,1,18,22], [19,14,20,15], [21,17,22,16]])
|
||||||
|
|
||||||
|
# we are starting from crossing number 3
|
||||||
|
# number_of_knots[i] is the number of prime knots with crossing number i+3
|
||||||
|
number_of_knots = [1,1,2,3,7,21,49,165]
|
||||||
Loading…
Reference in New Issue
Block a user