Oriented mosaic diagram of 3_1 # r12a_645

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) 3_1 # r12a_645
namestring 3_1 # r12a_645
dt_nameOption(string) null
crossing_numberOption(int) 15
alternatingbool true
kindstring composite
component_countint 1
pd_codeNominal(PDCode, List(Product(int, int, int, int))) 
[
  [
    8,
    5,
    2,
    4
  ],
  [
    3,
    1,
    4,
    6
  ],
  [
    5,
    3,
    6,
    2
  ],
  [
    1,
    10,
    7,
    11
  ],
  [
    10,
    18,
    9,
    19
  ],
  [
    12,
    24,
    11,
    25
  ],
  [
    14,
    27,
    13,
    26
  ],
  [
    16,
    22,
    15,
    23
  ],
  [
    18,
    8,
    17,
    9
  ],
  [
    20,
    14,
    19,
    15
  ],
  [
    22,
    29,
    21,
    28
  ],
  [
    24,
    16,
    23,
    17
  ],
  [
    26,
    30,
    25,
    7
  ],
  [
    28,
    21,
    27,
    20
  ],
  [
    30,
    13,
    29,
    12
  ]
]
pd_sourcestring derived_connected_sum
source_recordstring [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"12a_645","mirror":false,"reverse":true}]
amphichiralOption(bool) false
reversibleOption(bool) false
symmetry_typeOption(string) chiral
possible_duplicatesList(Nominal(KnotId, string)) 
[]