Oriented mosaic diagram of 3_1 # 3_1 # 3_1 # 4_1

Data

Crossing number13
Positive amphichiralfalse
Negative amphichiralfalse
Possible duplicates []
Reversibletrue
HFK-hat (F₂)
Theta fingerprints
Colored Jones fingerprints
Exact theta fingerprints

Record

Oriented Knots

knot_idNominal(KnotId, string) 3_1 # 3_1 # 3_1 # 4_1
namestring 3_1 # 3_1 # 3_1 # 4_1
dt_nameOption(string) null
crossing_numberOption(int) 13
alternatingbool true
kindstring composite
component_countint 1
pd_codeNominal(PDCode, List(Product(int, int, int, int))) 
[
  [
    22,
    5,
    2,
    4
  ],
  [
    3,
    1,
    4,
    6
  ],
  [
    5,
    3,
    6,
    2
  ],
  [
    1,
    11,
    8,
    10
  ],
  [
    9,
    7,
    10,
    12
  ],
  [
    11,
    9,
    12,
    8
  ],
  [
    7,
    17,
    14,
    16
  ],
  [
    15,
    13,
    16,
    18
  ],
  [
    17,
    15,
    18,
    14
  ],
  [
    13,
    20,
    23,
    19
  ],
  [
    26,
    24,
    19,
    23
  ],
  [
    24,
    21,
    25,
    22
  ],
  [
    20,
    25,
    21,
    26
  ]
]
pd_sourcestring derived_connected_sum
source_recordstring [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}]
amphichiralOption(bool) false
reversibleOption(bool) true
symmetry_typeOption(string) reversible
possible_duplicatesList(Nominal(KnotId, string)) 
[]