Oriented mosaic diagram of m3_1 # m12a_1257

Data

Crossing number15
Positive amphichiralfalse
Negative amphichiralfalse
Possible duplicates []
Reversiblefalse
HFK-hat (F₂)
Theta fingerprints
Colored Jones fingerprints
Exact theta fingerprints

Record

Oriented Knots

knot_idNominal(KnotId, string) m3_1 # m12a_1257
namestring m3_1 # m12a_1257
dt_nameOption(string) null
crossing_numberOption(int) 15
alternatingbool true
kindstring composite
component_countint 1
pd_codeNominal(PDCode, List(Product(int, int, int, int))) 
[
  [
    7,
    4,
    2,
    5
  ],
  [
    3,
    6,
    4,
    1
  ],
  [
    5,
    2,
    6,
    3
  ],
  [
    1,
    14,
    8,
    15
  ],
  [
    9,
    19,
    10,
    18
  ],
  [
    11,
    20,
    12,
    21
  ],
  [
    13,
    30,
    14,
    7
  ],
  [
    15,
    26,
    16,
    27
  ],
  [
    17,
    24,
    18,
    25
  ],
  [
    19,
    29,
    20,
    28
  ],
  [
    21,
    12,
    22,
    13
  ],
  [
    23,
    9,
    24,
    8
  ],
  [
    25,
    16,
    26,
    17
  ],
  [
    27,
    10,
    28,
    11
  ],
  [
    29,
    23,
    30,
    22
  ]
]
pd_sourcestring derived_connected_sum
source_recordstring [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"12a_1257","mirror":true,"reverse":false}]
amphichiralOption(bool) false
reversibleOption(bool) false
symmetry_typeOption(string) chiral
possible_duplicatesList(Nominal(KnotId, string)) 
[]