Oriented mosaic diagram of 3_1 # m3_1

Data

Crossing number6
Positive amphichiraltrue
Negative amphichiraltrue
Possible duplicates []
Reversibletrue
HFK-hat (F₂)
Theta fingerprints
Colored Jones fingerprints
Exact theta fingerprints

Record

Oriented Knots

knot_idNominal(KnotId, string) 3_1 # m3_1
namestring 3_1 # m3_1
dt_nameOption(string) null
crossing_numberOption(int) 6
alternatingbool true
kindstring composite
component_countint 1
pd_codeNominal(PDCode, List(Product(int, int, int, int)))
[
  [
    7,
    5,
    2,
    4
  ],
  [
    3,
    1,
    4,
    6
  ],
  [
    5,
    3,
    6,
    2
  ],
  [
    1,
    10,
    8,
    11
  ],
  [
    9,
    12,
    10,
    7
  ],
  [
    11,
    8,
    12,
    9
  ]
]
pd_sourcestring derived_connected_sum
source_recordstring [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}]
amphichiralOption(bool) true
reversibleOption(bool) true
symmetry_typeOption(string) fully amphicheiral
possible_duplicatesList(Nominal(KnotId, string))
[]