Oriented mosaic diagram of 4_1 # m8_16

Data

Crossing number12
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) 4_1 # m8_16
namestring 4_1 # m8_16
dt_nameOption(string) null
crossing_numberOption(int) 12
alternatingbool true
kindstring composite
component_countint 1
pd_codeNominal(PDCode, List(Product(int, int, int, int))) 
[
  [
    10,
    2,
    5,
    1
  ],
  [
    8,
    6,
    1,
    5
  ],
  [
    6,
    3,
    7,
    4
  ],
  [
    2,
    7,
    3,
    8
  ],
  [
    4,
    16,
    11,
    15
  ],
  [
    12,
    17,
    13,
    18
  ],
  [
    14,
    10,
    15,
    9
  ],
  [
    16,
    21,
    17,
    22
  ],
  [
    18,
    24,
    19,
    23
  ],
  [
    20,
    13,
    21,
    14
  ],
  [
    22,
    12,
    23,
    11
  ],
  [
    24,
    20,
    9,
    19
  ]
]
pd_sourcestring derived_connected_sum
source_recordstring [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]
amphichiralOption(bool) false
reversibleOption(bool) true
symmetry_typeOption(string) reversible
possible_duplicatesList(Nominal(KnotId, string)) 
[]