Oriented mosaic diagram of 4_1 # 4_1

Data

Crossing number8
Positive amphichiraltrue
Negative amphichiraltrue
Possible duplicates []
Reversibletrue
HFK-hat (F₂)
Theta fingerprints
Colored Jones fingerprints
Exact J₃ fingerprint
Exact theta fingerprints

Record

Oriented Knots

knot_idNominal(KnotId, string) 4_1 # 4_1
namestring 4_1 # 4_1
dt_nameOption(string) null
crossing_numberOption(int) 8
alternatingbool true
kindstring composite
component_countint 1
pd_codeNominal(PDCode, List(Product(int, int, int, int))) 
[
  [
    12,
    2,
    5,
    1
  ],
  [
    8,
    6,
    1,
    5
  ],
  [
    6,
    3,
    7,
    4
  ],
  [
    2,
    7,
    3,
    8
  ],
  [
    4,
    10,
    13,
    9
  ],
  [
    16,
    14,
    9,
    13
  ],
  [
    14,
    11,
    15,
    12
  ],
  [
    10,
    15,
    11,
    16
  ]
]
pd_sourcestring derived_connected_sum
source_recordstring [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}]
amphichiralOption(bool) true
reversibleOption(bool) true
symmetry_typeOption(string) fully amphicheiral
possible_duplicatesList(Nominal(KnotId, string)) 
[]