knotinfo_kauffman_data.py

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191279 bytes, as of the version from 2026-09-17 22:08 (current). Recorded here, not run.

"""KnotInfo 2026.9.1 Kauffman data for prime knots through ten crossings.

Extracted from database_knotinfo/csv_data/knotinfo_data_complete.csv in the
PyPI wheel database_knotinfo-2026.9.1-py3-none-any.whl. The generator uses the
vector columns rather than the printed Laurent-polynomial strings, so every
coefficient and exponent is read as an integer.
"""

COUNTS = {3: 1, 4: 1, 5: 2, 6: 3, 7: 7, 8: 21, 9: 49, 10: 165}

AMPHICHIRAL = frozenset([(4, 1),
 (6, 3),
 (8, 3),
 (8, 9),
 (8, 12),
 (8, 17),
 (8, 18),
 (10, 17),
 (10, 33),
 (10, 37),
 (10, 43),
 (10, 45),
 (10, 79),
 (10, 81),
 (10, 88),
 (10, 99),
 (10, 109),
 (10, 115),
 (10, 118),
 (10, 123)])

KNOTINFO_KAUFFMAN = {(3, 1): {'jones': [1, 4, 1, 0, 1, -1],
          'kauffman': [0, 2, [-4, -2, -1, 0, -2], [-5, -3, 1, 0, 1], [-4, -2, 1, 0, 1]],
          'q': '-3+ 2*x+ 2*x^2',
          'symmetry': 'reversible'},
 (4, 1): {'jones': [-2, 2, 1, -1, 1, -1, 1],
          'kauffman': [0, 3, [-2, 2, -1, 0, -1, 0, -1], [-1, 1, -1, 0, -1], [-2, 2, 1, 0, 2, 0, 1], [-1, 1, 1, 0, 1]],
          'q': '-3-2*x+ 4*x^2+ 2*x^3',
          'symmetry': 'fully amphicheiral'},
 (5, 1): {'jones': [2, 7, 1, 0, 1, -1, 1, -1],
          'kauffman': [0,
                       4,
                       [-6, -4, 2, 0, 3],
                       [-9, -5, 1, 0, -1, 0, -2],
                       [-8, -4, 1, 0, -3, 0, -4],
                       [-7, -5, 1, 0, 1],
                       [-6, -4, 1, 0, 1]],
          'q': '5-2*x-6*x^2+ 2*x^3+ 2*x^4',
          'symmetry': 'reversible'},
 (5, 2): {'jones': [1, 6, 1, -1, 2, -1, 1, -1],
          'kauffman': [0,
                       4,
                       [-6, -2, 1, 0, 1, 0, -1],
                       [-7, -5, -2, 0, -2],
                       [-6, -2, -2, 0, -1, 0, 1],
                       [-7, -3, 1, 0, 2, 0, 1],
                       [-6, -4, 1, 0, 1]],
          'q': '1-4*x-2*x^2+ 4*x^3+ 2*x^4',
          'symmetry': 'reversible'},
 (6, 1): {'jones': [-2, 4, 1, -1, 2, -2, 1, -1, 1],
          'kauffman': [0,
                       5,
                       [-4, 2, 1, 0, 1, 0, 0, 0, -1],
                       [-3, -1, 2, 0, 2],
                       [-4, 2, -3, 0, -4, 0, 0, 0, 1],
                       [-3, 1, -3, 0, -2, 0, 1],
                       [-4, 0, 1, 0, 2, 0, 1],
                       [-3, -1, 1, 0, 1]],
          'q': '1+ 4*x-6*x^2-4*x^3+ 4*x^4+ 2*x^5',
          'symmetry': 'reversible'},
 (6, 2): {'jones': [-1, 5, 1, -1, 2, -2, 2, -2, 1],
          'kauffman': [0,
                       5,
                       [-4, 0, 1, 0, 2, 0, 2],
                       [-5, -3, -1, 0, -1],
                       [-6, 0, 1, 0, -2, 0, -6, 0, -3],
                       [-5, -1, 2, 0, 0, 0, -2],
                       [-4, 0, 2, 0, 3, 0, 1],
                       [-3, -1, 1, 0, 1]],
          'q': '5-2*x-10*x^2+ 6*x^4+ 2*x^5',
          'symmetry': 'reversible'},
 (6, 3): {'jones': [-3, 3, -1, 2, -2, 3, -2, 2, -1],
          'kauffman': [0,
                       5,
                       [-2, 2, 1, 0, 3, 0, 1],
                       [-3, 3, -1, 0, -2, 0, -2, 0, -1],
                       [-2, 2, -3, 0, -6, 0, -3],
                       [-3, 3, 1, 0, 1, 0, 1, 0, 1],
                       [-2, 2, 2, 0, 4, 0, 2],
                       [-1, 1, 1, 0, 1]],
          'q': '5-6*x-12*x^2+ 4*x^3+ 8*x^4+ 2*x^5',
          'symmetry': 'fully amphicheiral'},
 (7, 1): {'jones': [3, 10, 1, 0, 1, -1, 1, -1, 1, -1],
          'kauffman': [0,
                       6,
                       [-8, -6, -3, 0, -4],
                       [-13, -7, 1, 0, -1, 0, 1, 0, 3],
                       [-12, -6, 1, 0, -2, 0, 7, 0, 10],
                       [-11, -7, 1, 0, -3, 0, -4],
                       [-10, -6, 1, 0, -5, 0, -6],
                       [-9, -7, 1, 0, 1],
                       [-8, -6, 1, 0, 1]],
          'q': '-7+ 4*x+ 16*x^2-6*x^3-10*x^4+ 2*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (7, 2): {'jones': [1, 8, 1, -1, 2, -2, 2, -1, 1, -1],
          'kauffman': [0,
                       6,
                       [-8, -2, -1, 0, -1, 0, 0, 0, -1],
                       [-9, -7, 3, 0, 3],
                       [-8, -2, 4, 0, 3, 0, 0, 0, 1],
                       [-9, -3, -4, 0, -6, 0, -1, 0, 1],
                       [-8, -4, -4, 0, -3, 0, 1],
                       [-9, -5, 1, 0, 2, 0, 1],
                       [-8, -6, 1, 0, 1]],
          'q': '-3+ 6*x+ 8*x^2-10*x^3-6*x^4+ 4*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (7, 3): {'jones': [2, 9, 1, -1, 2, -2, 3, -2, 1, -1],
          'kauffman': [0,
                       6,
                       [-8, -4, -2, 0, -2, 0, 1],
                       [-11, -7, -2, 0, 1, 0, 3],
                       [-10, -4, -1, 0, 6, 0, 4, 0, -3],
                       [-11, -5, 1, 0, -1, 0, -4, 0, -2],
                       [-10, -4, 1, 0, -3, 0, -3, 0, 1],
                       [-9, -5, 1, 0, 2, 0, 1],
                       [-8, -6, 1, 0, 1]],
          'q': '-3+ 2*x+ 6*x^2-6*x^3-4*x^4+ 4*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (7, 4): {'jones': [1, 8, 1, -2, 3, -2, 3, -2, 1, -1],
          'kauffman': [0,
                       6,
                       [-8, -4, -1, 0, 0, 0, 2],
                       [-9, -7, 4, 0, 4],
                       [-8, -2, 2, 0, -3, 0, -4, 0, 1],
                       [-9, -3, -4, 0, -8, 0, -2, 0, 2],
                       [-8, -4, -3, 0, 0, 0, 3],
                       [-9, -5, 1, 0, 3, 0, 2],
                       [-8, -6, 1, 0, 1]],
          'q': '1+ 8*x-4*x^2-12*x^3+ 6*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (7, 5): {'jones': [2, 9, 1, -1, 3, -3, 3, -3, 2, -1],
          'kauffman': [0,
                       6,
                       [-8, -4, -1, 0, 0, 0, 2],
                       [-11, -5, -1, 0, 1, 0, 1, 0, -1],
                       [-10, -4, -2, 0, 1, 0, 0, 0, -3],
                       [-11, -5, 1, 0, -2, 0, -4, 0, -1],
                       [-10, -4, 2, 0, 0, 0, -1, 0, 1],
                       [-9, -5, 2, 0, 3, 0, 1],
                       [-8, -6, 1, 0, 1]],
          'q': '1-4*x^2-6*x^3+ 2*x^4+ 6*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (7, 6): {'jones': [-1, 6, 1, -2, 3, -3, 4, -3, 2, -1],
          'kauffman': [0,
                       6,
                       [-6, 0, 1, 0, 2, 0, 1, 0, 1],
                       [-7, -1, -1, 0, 0, 0, 2, 0, 1],
                       [-6, 0, -2, 0, -4, 0, -4, 0, -2],
                       [-7, -1, 1, 0, -1, 0, -6, 0, -4],
                       [-6, 0, 2, 0, 2, 0, 1, 0, 1],
                       [-5, -1, 2, 0, 4, 0, 2],
                       [-4, -2, 1, 0, 1]],
          'q': '5+ 2*x-12*x^2-10*x^3+ 6*x^4+ 8*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (7, 7): {'jones': [-4, 3, 1, -2, 3, -4, 4, -3, 3, -1],
          'kauffman': [0,
                       6,
                       [0, 4, 2, 0, 2, 0, 1],
                       [-1, 3, 1, 0, 3, 0, 2],
                       [-2, 4, -3, 0, -7, 0, -6, 0, -2],
                       [-3, 3, 1, 0, -3, 0, -8, 0, -4],
                       [-2, 4, 3, 0, 4, 0, 2, 0, 1],
                       [-1, 3, 3, 0, 5, 0, 2],
                       [0, 2, 1, 0, 1]],
          'q': '5+ 6*x-18*x^2-14*x^3+ 10*x^4+ 10*x^5+ 2*x^6',
          'symmetry': 'reversible'},
 (8, 1): {'jones': [-2, 6, 1, -1, 2, -2, 2, -2, 1, -1, 1],
          'kauffman': [0,
                       7,
                       [-6, 2, -1, 0, -1, 0, 0, 0, 0, 0, -1],
                       [-5, -3, -3, 0, -3],
                       [-6, 2, 6, 0, 7, 0, 0, 0, 0, 0, 1],
                       [-5, 1, 7, 0, 5, 0, -1, 0, 1],
                       [-6, 0, -5, 0, -8, 0, -2, 0, 1],
                       [-5, -1, -5, 0, -4, 0, 1],
                       [-6, -2, 1, 0, 2, 0, 1],
                       [-5, -3, 1, 0, 1]],
          'q': '-3-6*x+ 14*x^2+ 12*x^3-14*x^4-8*x^5+ 4*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 2): {'jones': [0, 8, 1, -1, 2, -2, 3, -3, 2, -2, 1],
          'kauffman': [0,
                       7,
                       [-6, -2, -1, 0, -3, 0, -3],
                       [-9, -3, -1, 0, -1, 0, 1, 0, 1],
                       [-10, -2, 1, 0, -1, 0, 3, 0, 12, 0, 7],
                       [-9, -3, 2, 0, -2, 0, -1, 0, 3],
                       [-8, -2, 2, 0, -5, 0, -12, 0, -5],
                       [-7, -3, 2, 0, -2, 0, -4],
                       [-6, -2, 2, 0, 3, 0, 1],
                       [-5, -3, 1, 0, 1]],
          'q': '-7+ 22*x^2+ 2*x^3-20*x^4-4*x^5+ 6*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 3): {'jones': [-4, 4, 1, -1, 2, -3, 3, -3, 2, -1, 1],
          'kauffman': [0,
                       7,
                       [-4, 4, 1, 0, 0, 0, -1, 0, 0, 0, 1],
                       [-1, 1, -4, 0, -4],
                       [-4, 4, -3, 0, 1, 0, 8, 0, 1, 0, -3],
                       [-3, 3, -2, 0, 8, 0, 8, 0, -2],
                       [-4, 4, 1, 0, -2, 0, -6, 0, -2, 0, 1],
                       [-3, 3, 1, 0, -4, 0, -4, 0, 1],
                       [-2, 2, 1, 0, 2, 0, 1],
                       [-1, 1, 1, 0, 1]],
          'q': '1-8*x+ 4*x^2+ 12*x^3-8*x^4-6*x^5+ 4*x^6+ 2*x^7',
          'symmetry': 'fully amphicheiral'},
 (8, 4): {'jones': [-5, 3, 1, -2, 3, -3, 3, -3, 2, -1, 1],
          'kauffman': [0,
                       7,
                       [-2, 4, -2, 0, -2, 0, 0, 0, 1],
                       [-1, 3, -1, 0, 1, 0, 2],
                       [-2, 6, 7, 0, 10, 0, -1, 0, -3, 0, 1],
                       [-1, 5, 4, 0, -3, 0, -5, 0, 2],
                       [-2, 4, -5, 0, -11, 0, -3, 0, 3],
                       [-1, 3, -4, 0, -1, 0, 3],
                       [-2, 2, 1, 0, 3, 0, 2],
                       [-1, 1, 1, 0, 1]],
          'q': '-3+ 2*x+ 14*x^2-2*x^3-16*x^4-2*x^5+ 6*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 5): {'jones': [0, 8, 1, -1, 3, -3, 3, -4, 3, -2, 1],
          'kauffman': [0,
                       7,
                       [-6, -2, -2, 0, -5, 0, -4],
                       [-7, -3, 4, 0, 7, 0, 3],
                       [-10, -2, 1, 0, -2, 0, 4, 0, 15, 0, 8],
                       [-9, -5, 2, 0, -8, 0, -10],
                       [-8, -2, 3, 0, -7, 0, -15, 0, -5],
                       [-7, -3, 4, 0, 1, 0, -3],
                       [-6, -2, 3, 0, 4, 0, 1],
                       [-5, -3, 1, 0, 1]],
          'q': '-11+ 14*x+ 26*x^2-16*x^3-24*x^4+ 2*x^5+ 8*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 6): {'jones': [-1, 7, 1, -1, 3, -4, 4, -4, 3, -2, 1],
          'kauffman': [0,
                       7,
                       [-6, 0, -1, 0, -1, 0, 1, 0, 2],
                       [-7, -1, 1, 0, -1, 0, -3, 0, -1],
                       [-8, 0, -2, 0, 3, 0, 6, 0, -2, 0, -3],
                       [-7, -1, -4, 0, 2, 0, 5, 0, -1],
                       [-8, 0, 1, 0, -4, 0, -6, 0, 0, 0, 1],
                       [-7, -1, 2, 0, -1, 0, -2, 0, 1],
                       [-6, -2, 2, 0, 3, 0, 1],
                       [-5, -3, 1, 0, 1]],
          'q': '1-4*x+ 2*x^2+ 2*x^3-8*x^4+ 6*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 7): {'jones': [-6, 2, -1, 2, -3, 4, -4, 4, -2, 2, -1],
          'kauffman': [0,
                       7,
                       [0, 4, -1, 0, -4, 0, -2],
                       [-1, 7, 1, 0, 2, 0, 2, 0, 0, 0, -1],
                       [0, 6, 6, 0, 12, 0, 4, 0, -2],
                       [-1, 7, -3, 0, -3, 0, -2, 0, -1, 0, 1],
                       [0, 6, -7, 0, -12, 0, -3, 0, 2],
                       [-1, 5, 1, 0, -1, 0, 0, 0, 2],
                       [0, 4, 2, 0, 4, 0, 2],
                       [1, 3, 1, 0, 1]],
          'q': '-7+ 4*x+ 20*x^2-8*x^3-20*x^4+ 2*x^5+ 8*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 8): {'jones': [-5, 3, -1, 2, -3, 4, -4, 5, -3, 2, -1],
          'kauffman': [0,
                       7,
                       [-2, 4, 1, 0, 2, 0, -1, 0, -1],
                       [-3, 5, -1, 0, -1, 0, 1, 0, 3, 0, 2],
                       [-2, 4, -2, 0, -1, 0, 5, 0, 4],
                       [-3, 5, 1, 0, 0, 0, -3, 0, -5, 0, -3],
                       [-2, 4, 2, 0, -1, 0, -9, 0, -6],
                       [-1, 5, 2, 0, 1, 0, 0, 0, 1],
                       [0, 4, 2, 0, 4, 0, 2],
                       [1, 3, 1, 0, 1]],
          'q': '1+ 4*x+ 6*x^2-10*x^3-14*x^4+ 4*x^5+ 8*x^6+ 2*x^7',
          'symmetry': 'reversible'},
 (8, 9): {'jones': [-4, 4, 1, -2, 3, -4, 5, -4, 3, -2, 1],
          'kauffman': [0,
                       7,
                       [-2, 2, -2, 0, -3, 0, -2],
                       [-3, 3, 1, 0, 1, 0, 1, 0, 1],
                       [-4, 4, -2, 0, 4, 0, 12, 0, 4, 0, -2],
                       [-3, 3, -4, 0, -1, 0, -1, 0, -4],
                       [-4, 4, 1, 0, -4, 0, -10, 0, -4, 0, 1],
                       [-3, 3, 2, 0, 0, 0, 0, 0, 2],
                       [-2, 2, 2, 0, 4, 0, 2],
                       [-1, 1, 1, 0, 1]],
          'q': '-7+ 4*x+ 16*x^2-10*x^3-16*x^4+ 4*x^5+ 8*x^6+ 2*x^7',
          'symmetry': 'fully amphicheiral'},
 (8, 10): {'jones': [-6, 2, -1, 2, -4, 5, -4, 5, -3, 2, -1],
           'kauffman': [0,
                        7,
                        [0, 4, -2, 0, -6, 0, -3],
                        [-1, 7, 2, 0, 5, 0, 6, 0, 2, 0, -1],
                        [0, 6, 5, 0, 12, 0, 6, 0, -1],
                        [-1, 7, -3, 0, -8, 0, -9, 0, -3, 0, 1],
                        [0, 6, -6, 0, -13, 0, -5, 0, 2],
                        [-1, 5, 1, 0, 1, 0, 3, 0, 3],
                        [0, 4, 2, 0, 5, 0, 3],
                        [1, 3, 1, 0, 1]],
           'q': '-11+ 14*x+ 22*x^2-22*x^3-22*x^4+ 8*x^5+ 10*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (8, 11): {'jones': [-1, 7, 1, -2, 4, -4, 5, -5, 3, -2, 1],
           'kauffman': [0,
                        7,
                        [-6, 0, -1, 0, -2, 0, -1, 0, 1],
                        [-7, -3, 2, 0, 3, 0, 1],
                        [-8, 0, -2, 0, 2, 0, 6, 0, 0, 0, -2],
                        [-7, -1, -4, 0, -3, 0, -2, 0, -3],
                        [-8, 0, 1, 0, -3, 0, -7, 0, -2, 0, 1],
                        [-7, -1, 2, 0, 1, 0, 1, 0, 2],
                        [-6, -2, 2, 0, 4, 0, 2],
                        [-5, -3, 1, 0, 1]],
           'q': '-3+ 6*x+ 4*x^2-12*x^3-10*x^4+ 6*x^5+ 8*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (8, 12): {'jones': [-4, 4, 1, -2, 4, -5, 5, -5, 4, -2, 1],
           'kauffman': [0,
                        7,
                        [-4, 4, 1, 0, 1, 0, 1, 0, 1, 0, 1],
                        [-3, 3, 1, 0, 0, 0, 0, 0, 1],
                        [-4, 4, -2, 0, -2, 0, 0, 0, -2, 0, -2],
                        [-3, 3, -3, 0, -3, 0, -3, 0, -3],
                        [-4, 4, 1, 0, -1, 0, -4, 0, -1, 0, 1],
                        [-3, 3, 2, 0, 2, 0, 2, 0, 2],
                        [-2, 2, 2, 0, 4, 0, 2],
                        [-1, 1, 1, 0, 1]],
           'q': '5+ 2*x-8*x^2-12*x^3-4*x^4+ 8*x^5+ 8*x^6+ 2*x^7',
           'symmetry': 'fully amphicheiral'},
 (8, 13): {'jones': [-5, 3, -1, 2, -3, 5, -5, 5, -4, 3, -1],
           'kauffman': [0,
                        7,
                        [2, 4, -2, 0, -1],
                        [-1, 5, 1, 0, 3, 0, 4, 0, 2],
                        [-2, 4, -2, 0, 0, 0, 7, 0, 5],
                        [-3, 5, 1, 0, -4, 0, -9, 0, -7, 0, -3],
                        [-2, 4, 3, 0, -2, 0, -11, 0, -6],
                        [-1, 5, 4, 0, 4, 0, 1, 0, 1],
                        [0, 4, 3, 0, 5, 0, 2],
                        [1, 3, 1, 0, 1]],
           'q': '-3+ 10*x+ 10*x^2-22*x^3-16*x^4+ 10*x^5+ 10*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (8, 14): {'jones': [-1, 7, 1, -2, 4, -5, 6, -5, 4, -3, 1],
           'kauffman': [0,
                        7,
                        [0, 0, 1],
                        [-7, -1, 1, 0, 3, 0, 3, 0, 1],
                        [-8, 0, -1, 0, 1, 0, 3, 0, -1, 0, -2],
                        [-7, -1, -5, 0, -8, 0, -6, 0, -3],
                        [-8, 0, 1, 0, -4, 0, -7, 0, -1, 0, 1],
                        [-7, -1, 3, 0, 4, 0, 3, 0, 2],
                        [-6, -2, 3, 0, 5, 0, 2],
                        [-5, -3, 1, 0, 1]],
           'q': '1+ 8*x-22*x^3-10*x^4+ 12*x^5+ 10*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (8, 15): {'jones': [2, 10, 1, -2, 5, -5, 6, -6, 4, -3, 1],
           'kauffman': [0,
                        7,
                        [-10, -4, -1, 0, -4, 0, -3, 0, 1],
                        [-11, -7, 2, 0, 8, 0, 6],
                        [-12, -4, -1, 0, 0, 0, 8, 0, 5, 0, -2],
                        [-11, -5, -5, 0, -14, 0, -11, 0, -2],
                        [-12, -4, 1, 0, -3, 0, -10, 0, -5, 0, 1],
                        [-11, -5, 3, 0, 6, 0, 5, 0, 2],
                        [-10, -6, 3, 0, 6, 0, 3],
                        [-9, -7, 1, 0, 1]],
           'q': '-7+ 16*x+ 10*x^2-32*x^3-16*x^4+ 16*x^5+ 12*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (8, 16): {'jones': [-6, 2, -1, 3, -5, 6, -6, 6, -4, 3, -1],
           'kauffman': [0,
                        7,
                        [2, 4, -2, 0, -1],
                        [-1, 5, 1, 0, 3, 0, 4, 0, 2],
                        [0, 6, 5, 0, 10, 0, 4, 0, -1],
                        [-1, 7, -2, 0, -6, 0, -10, 0, -5, 0, 1],
                        [0, 6, -8, 0, -18, 0, -7, 0, 3],
                        [-1, 5, 1, 0, -1, 0, 3, 0, 5],
                        [0, 4, 3, 0, 8, 0, 5],
                        [1, 3, 2, 0, 2]],
           'q': '-3+ 10*x+ 18*x^2-22*x^3-30*x^4+ 8*x^5+ 16*x^6+ 4*x^7',
           'symmetry': 'reversible'},
 (8, 17): {'jones': [-4, 4, 1, -3, 5, -6, 7, -6, 5, -3, 1],
           'kauffman': [0,
                        7,
                        [-2, 2, -1, 0, -1, 0, -1],
                        [-3, 3, 1, 0, 2, 0, 2, 0, 1],
                        [-4, 4, -1, 0, 3, 0, 8, 0, 3, 0, -1],
                        [-3, 3, -4, 0, -6, 0, -6, 0, -4],
                        [-4, 4, 1, 0, -6, 0, -14, 0, -6, 0, 1],
                        [-3, 3, 3, 0, 2, 0, 2, 0, 3],
                        [-2, 2, 4, 0, 8, 0, 4],
                        [-1, 1, 2, 0, 2]],
           'q': '-3+ 6*x+ 12*x^2-20*x^3-24*x^4+ 10*x^5+ 16*x^6+ 4*x^7',
           'symmetry': 'negative amphicheiral'},
 (8, 18): {'jones': [-4, 4, 1, -4, 6, -7, 9, -7, 6, -4, 1],
           'kauffman': [0,
                        7,
                        [-2, 2, 1, 0, 3, 0, 1],
                        [-1, 1, 1, 0, 1],
                        [-2, 2, 3, 0, 6, 0, 3],
                        [-3, 3, -4, 0, -9, 0, -9, 0, -4],
                        [-4, 4, 1, 0, -9, 0, -20, 0, -9, 0, 1],
                        [-3, 3, 4, 0, 3, 0, 3, 0, 4],
                        [-2, 2, 6, 0, 12, 0, 6],
                        [-1, 1, 3, 0, 3]],
           'q': '5+ 2*x+ 12*x^2-26*x^3-36*x^4+ 14*x^5+ 24*x^6+ 6*x^7',
           'symmetry': 'fully amphicheiral'},
 (8, 19): {'jones': [3, 8, 1, 0, 1, 0, 0, -1],
           'kauffman': [0,
                        6,
                        [-10, -6, -1, 0, -5, 0, -5],
                        [-9, -7, 5, 0, 5],
                        [-8, -6, 10, 0, 10],
                        [-9, -7, -5, 0, -5],
                        [-8, -6, -6, 0, -6],
                        [-9, -7, 1, 0, 1],
                        [-8, -6, 1, 0, 1]],
           'q': '-11+ 10*x+ 20*x^2-10*x^3-12*x^4+ 2*x^5+ 2*x^6',
           'symmetry': 'reversible'},
 (8, 20): {'jones': [-5, 1, -1, 1, -1, 2, -1, 2, -1],
           'kauffman': [0,
                        6,
                        [0, 4, -1, 0, -4, 0, -2],
                        [-1, 5, 1, 0, 3, 0, 5, 0, 3],
                        [0, 4, 2, 0, 6, 0, 4],
                        [1, 5, -3, 0, -7, 0, -4],
                        [2, 4, -4, 0, -4],
                        [1, 5, 1, 0, 2, 0, 1],
                        [2, 4, 1, 0, 1]],
           'q': '-7+ 12*x+ 12*x^2-14*x^3-8*x^4+ 4*x^5+ 2*x^6',
           'symmetry': 'reversible'},
 (8, 21): {'jones': [1, 7, 2, -2, 3, -3, 2, -2, 1],
           'kauffman': [0,
                        6,
                        [-6, -2, -1, 0, -3, 0, -3],
                        [-7, -3, 2, 0, 4, 0, 2],
                        [-8, -2, -2, 0, 0, 0, 5, 0, 3],
                        [-7, -3, -5, 0, -6, 0, -1],
                        [-8, -4, 1, 0, -1, 0, -2],
                        [-7, -3, 2, 0, 3, 0, 1],
                        [-6, -4, 1, 0, 1]],
           'q': '-7+ 8*x+ 6*x^2-12*x^3-2*x^4+ 6*x^5+ 2*x^6',
           'symmetry': 'reversible'},
 (9, 1): {'jones': [4, 13, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1],
          'kauffman': [0,
                       8,
                       [-10, -8, 4, 0, 5],
                       [-17, -9, 1, 0, -1, 0, 1, 0, -1, 0, -4],
                       [-16, -8, 1, 0, -2, 0, 3, 0, -14, 0, -20],
                       [-15, -9, 1, 0, -3, 0, 6, 0, 10],
                       [-14, -8, 1, 0, -4, 0, 16, 0, 21],
                       [-13, -9, 1, 0, -5, 0, -6],
                       [-12, -8, 1, 0, -7, 0, -8],
                       [-11, -9, 1, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '9-4*x-32*x^2+ 14*x^3+ 34*x^4-10*x^5-14*x^6+ 2*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 2): {'jones': [1, 10, 1, -1, 2, -2, 2, -2, 2, -1, 1, -1],
          'kauffman': [0,
                       8,
                       [-10, -2, 1, 0, 1, 0, 0, 0, 0, 0, -1],
                       [-11, -9, -4, 0, -4],
                       [-10, -2, -7, 0, -6, 0, 0, 0, 0, 0, 1],
                       [-11, -3, 10, 0, 13, 0, 1, 0, -1, 0, 1],
                       [-10, -4, 11, 0, 8, 0, -2, 0, 1],
                       [-11, -5, -6, 0, -10, 0, -3, 0, 1],
                       [-10, -6, -6, 0, -5, 0, 1],
                       [-11, -7, 1, 0, 2, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '1-8*x-12*x^2+ 24*x^3+ 18*x^4-18*x^5-10*x^6+ 4*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 3): {'jones': [3, 12, 1, -1, 2, -2, 3, -3, 3, -2, 1, -1],
          'kauffman': [0,
                       8,
                       [-10, -6, 3, 0, 3, 0, -1],
                       [-15, -9, -2, 0, 1, 0, -1, 0, -4],
                       [-14, -6, -1, 0, 3, 0, -11, 0, -9, 0, 6],
                       [-15, -7, 1, 0, -1, 0, 4, 0, 9, 0, 3],
                       [-14, -6, 1, 0, -2, 0, 11, 0, 9, 0, -5],
                       [-13, -7, 1, 0, -3, 0, -8, 0, -4],
                       [-12, -6, 1, 0, -5, 0, -5, 0, 1],
                       [-11, -7, 1, 0, 2, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '5-6*x-12*x^2+ 16*x^3+ 14*x^4-14*x^5-8*x^6+ 4*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 4): {'jones': [2, 11, 1, -1, 2, -3, 4, -3, 3, -2, 1, -1],
          'kauffman': [0,
                       8,
                       [-10, -4, 2, 0, 2, 0, 0, 0, 1],
                       [-13, -9, 3, 0, -1, 0, -4],
                       [-12, -4, 1, 0, -10, 0, -7, 0, 1, 0, -3],
                       [-13, -5, -4, 0, 2, 0, 12, 0, 4, 0, -2],
                       [-12, -4, -3, 0, 11, 0, 11, 0, -2, 0, 1],
                       [-13, -5, 1, 0, -3, 0, -8, 0, -3, 0, 1],
                       [-12, -6, 1, 0, -5, 0, -5, 0, 1],
                       [-11, -7, 1, 0, 2, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '5-2*x-18*x^2+ 12*x^3+ 18*x^4-12*x^5-8*x^6+ 4*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 5): {'jones': [1, 10, 1, -2, 3, -3, 4, -3, 3, -2, 1, -1],
          'kauffman': [0,
                       8,
                       [-10, -4, 1, 0, 0, 0, -1, 0, 1],
                       [-11, -9, -6, 0, -6],
                       [-10, -2, -3, 0, 4, 0, 3, 0, -3, 0, 1],
                       [-11, -3, 11, 0, 18, 0, 1, 0, -4, 0, 2],
                       [-10, -4, 7, 0, -3, 0, -7, 0, 3],
                       [-11, -5, -6, 0, -14, 0, -5, 0, 3],
                       [-10, -6, -5, 0, -2, 0, 3],
                       [-11, -7, 1, 0, 3, 0, 2],
                       [-10, -8, 1, 0, 1]],
          'q': '1-12*x+ 2*x^2+ 28*x^3-22*x^5-4*x^6+ 6*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 6): {'jones': [3, 12, 1, -1, 3, -3, 4, -5, 4, -3, 2, -1],
          'kauffman': [0,
                       8,
                       [-10, -6, 1, 0, -1, 0, -3],
                       [-15, -7, -1, 0, 0, 0, -2, 0, -1, 0, 2],
                       [-14, -6, -2, 0, 1, 0, -3, 0, 1, 0, 7],
                       [-15, -9, 1, 0, -1, 0, 6, 0, 8],
                       [-14, -6, 2, 0, -2, 0, 2, 0, 1, 0, -5],
                       [-13, -7, 2, 0, -5, 0, -10, 0, -3],
                       [-12, -6, 2, 0, -2, 0, -3, 0, 1],
                       [-11, -7, 2, 0, 3, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '-3-2*x+ 4*x^2+ 14*x^3-2*x^4-16*x^5-2*x^6+ 6*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 7): {'jones': [2, 11, 1, -1, 3, -4, 5, -5, 4, -3, 2, -1],
          'kauffman': [0,
                       8,
                       [-10, -4, 1, 0, 1, 0, 1, 0, 2],
                       [-13, -5, 1, 0, -2, 0, -3, 0, -1, 0, -1],
                       [-12, -4, 3, 0, -2, 0, -4, 0, -2, 0, -3],
                       [-13, -5, -3, 0, 5, 0, 11, 0, 2, 0, -1],
                       [-12, -4, -6, 0, 2, 0, 7, 0, 0, 0, 1],
                       [-13, -5, 1, 0, -6, 0, -9, 0, -1, 0, 1],
                       [-12, -6, 2, 0, -2, 0, -3, 0, 1],
                       [-11, -7, 2, 0, 3, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '5-6*x-8*x^2+ 14*x^3+ 4*x^4-14*x^5-2*x^6+ 6*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 8): {'jones': [-3, 6, 1, -2, 3, -4, 5, -5, 5, -3, 2, -1],
          'kauffman': [0,
                       8,
                       [-6, 2, 1, 0, 2, 0, 0, 0, -1, 0, -1],
                       [-7, 1, -1, 0, -1, 0, -1, 0, -3, 0, -2],
                       [-6, 2, -2, 0, -3, 0, 2, 0, 7, 0, 4],
                       [-7, 1, 1, 0, 0, 0, 2, 0, 11, 0, 8],
                       [-6, 2, 2, 0, 0, 0, -4, 0, -6, 0, -4],
                       [-5, 1, 2, 0, -3, 0, -13, 0, -8],
                       [-4, 2, 2, 0, 0, 0, -1, 0, 1],
                       [-3, 1, 2, 0, 4, 0, 2],
                       [-2, 0, 1, 0, 1]],
          'q': '1-8*x+ 8*x^2+ 22*x^3-12*x^4-22*x^5+ 2*x^6+ 8*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 9): {'jones': [3, 12, 1, -1, 3, -4, 5, -5, 5, -4, 2, -1],
          'kauffman': [0,
                       8,
                       [-10, -6, 2, 0, 1, 0, -2],
                       [-15, -7, -1, 0, 2, 0, 0, 0, -2, 0, 1],
                       [-14, -6, -1, 0, 3, 0, -6, 0, -3, 0, 7],
                       [-15, -7, 1, 0, -3, 0, 0, 0, 5, 0, 1],
                       [-14, -6, 2, 0, -4, 0, 2, 0, 3, 0, -5],
                       [-13, -7, 3, 0, -2, 0, -8, 0, -3],
                       [-12, -6, 3, 0, -1, 0, -3, 0, 1],
                       [-11, -7, 2, 0, 3, 0, 1],
                       [-10, -8, 1, 0, 1]],
          'q': '1+ 4*x^3-2*x^4-10*x^5+ 6*x^7+ 2*x^8',
          'symmetry': 'reversible'},
 (9, 10): {'jones': [2, 11, 1, -2, 4, -5, 6, -5, 5, -3, 1, -1],
           'kauffman': [0,
                        8,
                        [-10, -6, 2, 0, 1, 0, -2],
                        [-13, -9, 4, 0, 0, 0, -4],
                        [-10, -4, -11, 0, -2, 0, 7, 0, -2],
                        [-13, -5, -4, 0, -1, 0, 9, 0, 3, 0, -3],
                        [-12, -4, -2, 0, 9, 0, 3, 0, -7, 0, 1],
                        [-13, -5, 1, 0, -1, 0, -7, 0, -3, 0, 2],
                        [-12, -6, 1, 0, -3, 0, -1, 0, 3],
                        [-11, -7, 1, 0, 3, 0, 2],
                        [-10, -8, 1, 0, 1]],
           'q': '1-8*x^2+ 4*x^3+ 4*x^4-8*x^5+ 6*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 11): {'jones': [-9, 0, -1, 2, -4, 5, -5, 6, -4, 3, -2, 1],
           'kauffman': [0,
                        8,
                        [2, 8, -1, 0, -1, 0, -3, 0, -2],
                        [3, 11, -1, 0, -2, 0, 2, 0, 2, 0, -1],
                        [2, 10, 4, 0, 5, 0, 6, 0, 4, 0, -1],
                        [3, 11, 8, 0, 9, 0, -3, 0, -3, 0, 1],
                        [2, 10, -4, 0, -5, 0, -7, 0, -4, 0, 2],
                        [3, 9, -8, 0, -12, 0, -1, 0, 3],
                        [2, 8, 1, 0, -1, 0, 1, 0, 3],
                        [3, 7, 2, 0, 4, 0, 2],
                        [4, 6, 1, 0, 1]],
           'q': '-7+ 18*x^2+ 12*x^3-18*x^4-18*x^5+ 4*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 12): {'jones': [-1, 8, 1, -2, 4, -5, 6, -6, 5, -3, 2, -1],
           'kauffman': [0,
                        8,
                        [-8, 0, -1, 0, -2, 0, -1, 0, 0, 0, 1],
                        [-9, -3, 1, 0, -1, 0, -4, 0, -2],
                        [-8, 0, 4, 0, 7, 0, 3, 0, -2, 0, -2],
                        [-9, -1, -3, 0, 3, 0, 13, 0, 4, 0, -3],
                        [-8, 0, -6, 0, -5, 0, -1, 0, -1, 0, 1],
                        [-9, -1, 1, 0, -5, 0, -11, 0, -3, 0, 2],
                        [-8, -2, 2, 0, 0, 0, 0, 0, 2],
                        [-7, -3, 2, 0, 4, 0, 2],
                        [-6, -4, 1, 0, 1]],
           'q': '-3-6*x+ 10*x^2+ 14*x^3-12*x^4-16*x^5+ 4*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 13): {'jones': [2, 11, 1, -2, 4, -5, 7, -6, 5, -4, 2, -1],
           'kauffman': [0,
                        8,
                        [-10, -6, 1, 0, -1, 0, -3],
                        [-13, -7, 2, 0, -2, 0, -3, 0, 1],
                        [-12, -4, 2, 0, -2, 0, 6, 0, 8, 0, -2],
                        [-13, -5, -3, 0, 2, 0, 9, 0, 1, 0, -3],
                        [-12, -4, -5, 0, -1, 0, -4, 0, -7, 0, 1],
                        [-13, -5, 1, 0, -4, 0, -9, 0, -2, 0, 2],
                        [-12, -6, 2, 0, 0, 0, 1, 0, 3],
                        [-11, -7, 2, 0, 4, 0, 2],
                        [-10, -8, 1, 0, 1]],
           'q': '-3-2*x+ 12*x^2+ 6*x^3-16*x^4-12*x^5+ 6*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 14): {'jones': [-6, 3, 1, -2, 3, -5, 6, -6, 6, -4, 3, -1],
           'kauffman': [0,
                        8,
                        [0, 6, 1, 0, -1, 0, -2, 0, -1],
                        [1, 5, -2, 0, -5, 0, -3],
                        [-2, 6, -2, 0, 0, 0, 8, 0, 10, 0, 4],
                        [-3, 5, 1, 0, -3, 0, 2, 0, 15, 0, 9],
                        [-2, 6, 3, 0, -4, 0, -12, 0, -9, 0, -4],
                        [-1, 5, 4, 0, -4, 0, -16, 0, -8],
                        [0, 6, 4, 0, 3, 0, 0, 0, 1],
                        [1, 5, 3, 0, 5, 0, 2],
                        [2, 4, 1, 0, 1]],
           'q': '-3-10*x+ 20*x^2+ 24*x^3-26*x^4-24*x^5+ 8*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 15): {'jones': [-8, 1, -1, 2, -4, 6, -6, 7, -6, 4, -2, 1],
           'kauffman': [0,
                        8,
                        [0, 8, 1, 0, 1, 0, 1, 0, -1, 0, -1],
                        [1, 9, 1, 0, 1, 0, -1, 0, 1, 0, 2],
                        [0, 8, -2, 0, -3, 0, -2, 0, 2, 0, 3],
                        [1, 9, -3, 0, 0, 0, 5, 0, -1, 0, -3],
                        [0, 8, 1, 0, 0, 0, 0, 0, -4, 0, -5],
                        [1, 9, 2, 0, -1, 0, -7, 0, -3, 0, 1],
                        [2, 8, 2, 0, 1, 0, 1, 0, 2],
                        [3, 7, 2, 0, 4, 0, 2],
                        [4, 6, 1, 0, 1]],
           'q': '1+ 4*x-2*x^2-2*x^3-8*x^4-8*x^5+ 6*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 16): {'jones': [3, 12, 1, -1, 4, -5, 6, -7, 6, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [-8, -6, -3, 0, -4],
                        [-13, -7, 2, 0, 2, 0, 4, 0, 4],
                        [-14, -6, -1, 0, 2, 0, 1, 0, 6, 0, 8],
                        [-15, -7, 1, 0, -5, 0, -5, 0, -1, 0, -2],
                        [-14, -6, 3, 0, -6, 0, -8, 0, -4, 0, -5],
                        [-13, -7, 5, 0, -1, 0, -8, 0, -2],
                        [-12, -6, 5, 0, 3, 0, -1, 0, 1],
                        [-11, -7, 3, 0, 4, 0, 1],
                        [-10, -8, 1, 0, 1]],
           'q': '-7+ 12*x+ 16*x^2-12*x^3-20*x^4-6*x^5+ 8*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 17): {'jones': [-3, 6, 1, -2, 4, -5, 6, -7, 6, -4, 3, -1],
           'kauffman': [0,
                        8,
                        [-2, 2, -2, 0, -3, 0, -2],
                        [-5, 1, 1, 0, 3, 0, 1, 0, -1],
                        [-6, 2, -2, 0, -1, 0, 9, 0, 13, 0, 5],
                        [-7, 1, 1, 0, -3, 0, -4, 0, 6, 0, 6],
                        [-6, 2, 3, 0, -3, 0, -14, 0, -12, 0, -4],
                        [-5, 1, 4, 0, -2, 0, -13, 0, -7],
                        [-4, 2, 4, 0, 4, 0, 1, 0, 1],
                        [-3, 1, 3, 0, 5, 0, 2],
                        [-2, 0, 1, 0, 1]],
           'q': '-7+ 4*x+ 24*x^2+ 6*x^3-30*x^4-18*x^5+ 10*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 18): {'jones': [2, 11, 1, -2, 5, -6, 7, -7, 6, -4, 2, -1],
           'kauffman': [0,
                        8,
                        [-10, -4, 1, 0, 0, 0, -1, 0, 1],
                        [-13, -7, 2, 0, 0, 0, 0, 0, 2],
                        [-12, -4, 3, 0, -2, 0, 0, 0, 3, 0, -2],
                        [-13, -5, -3, 0, 0, 0, 1, 0, -4, 0, -2],
                        [-12, -4, -5, 0, -2, 0, -2, 0, -4, 0, 1],
                        [-13, -5, 1, 0, -3, 0, -5, 0, 1, 0, 2],
                        [-12, -6, 2, 0, 1, 0, 2, 0, 3],
                        [-11, -7, 2, 0, 4, 0, 2],
                        [-10, -8, 1, 0, 1]],
           'q': '1+ 4*x+ 2*x^2-8*x^3-12*x^4-4*x^5+ 8*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 19): {'jones': [-4, 5, 1, -2, 4, -6, 7, -7, 6, -4, 3, -1],
           'kauffman': [0,
                        8,
                        [-2, 4, -1, 0, 0, 0, 1, 0, 1],
                        [-3, 3, -1, 0, -3, 0, -1, 0, 1],
                        [-4, 4, 4, 0, 8, 0, 3, 0, -3, 0, -2],
                        [-5, 3, -2, 0, 4, 0, 10, 0, 1, 0, -3],
                        [-4, 4, -8, 0, -11, 0, -4, 0, 0, 0, 1],
                        [-5, 3, 1, 0, -7, 0, -11, 0, -1, 0, 2],
                        [-4, 2, 3, 0, 3, 0, 2, 0, 2],
                        [-3, 1, 3, 0, 5, 0, 2],
                        [-2, 0, 1, 0, 1]],
           'q': '1-4*x+ 10*x^2+ 10*x^3-22*x^4-16*x^5+ 10*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 20): {'jones': [0, 9, 1, -2, 4, -5, 7, -7, 6, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [-8, -2, -1, 0, -2, 0, -2, 0, -2],
                        [-9, -7, 2, 0, 2],
                        [-10, -2, -1, 0, 3, 0, 10, 0, 11, 0, 5],
                        [-11, -3, 1, 0, -5, 0, -7, 0, 5, 0, 6],
                        [-10, -2, 3, 0, -6, 0, -16, 0, -11, 0, -4],
                        [-9, -3, 5, 0, 0, 0, -12, 0, -7],
                        [-8, -2, 5, 0, 5, 0, 1, 0, 1],
                        [-7, -3, 3, 0, 5, 0, 2],
                        [-6, -4, 1, 0, 1]],
           'q': '-7+ 4*x+ 28*x^2-34*x^4-14*x^5+ 12*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 21): {'jones': [-8, 1, -1, 2, -4, 6, -7, 8, -6, 5, -3, 1],
           'kauffman': [0,
                        8,
                        [2, 8, -1, 0, 0, 0, -1, 0, -1],
                        [3, 9, -1, 0, -3, 0, 0, 0, 2],
                        [0, 8, -1, 0, 3, 0, 6, 0, 5, 0, 3],
                        [1, 9, -4, 0, 2, 0, 9, 0, 0, 0, -3],
                        [0, 8, 1, 0, -6, 0, -9, 0, -7, 0, -5],
                        [1, 9, 3, 0, -3, 0, -10, 0, -3, 0, 1],
                        [2, 8, 4, 0, 4, 0, 2, 0, 2],
                        [3, 7, 3, 0, 5, 0, 2],
                        [4, 6, 1, 0, 1]],
           'q': '-3-2*x+ 16*x^2+ 4*x^3-26*x^4-12*x^5+ 12*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 22): {'jones': [-3, 6, 1, -2, 4, -6, 7, -7, 7, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [-4, 2, -1, 0, -4, 0, -4, 0, -2],
                        [-5, 1, 1, 0, 1, 0, -2, 0, -2],
                        [-6, 2, -1, 0, 5, 0, 17, 0, 16, 0, 5],
                        [-7, 1, 1, 0, -4, 0, -2, 0, 10, 0, 7],
                        [-6, 2, 3, 0, -9, 0, -23, 0, -15, 0, -4],
                        [-5, 1, 5, 0, -4, 0, -16, 0, -7],
                        [-4, 2, 6, 0, 7, 0, 2, 0, 1],
                        [-3, 1, 4, 0, 6, 0, 2],
                        [-2, 0, 1, 0, 1]],
           'q': '-11-2*x+ 42*x^2+ 12*x^3-48*x^4-22*x^5+ 16*x^6+ 12*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 23): {'jones': [2, 11, 1, -2, 5, -6, 8, -8, 6, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [-8, -4, -2, 0, -2, 0, 1],
                        [-13, -7, 1, 0, 1, 0, 4, 0, 4],
                        [-12, -4, 3, 0, 3, 0, 6, 0, 4, 0, -2],
                        [-13, -5, -2, 0, 0, 0, -2, 0, -6, 0, -2],
                        [-12, -4, -7, 0, -10, 0, -8, 0, -4, 0, 1],
                        [-13, -5, 1, 0, -5, 0, -6, 0, 2, 0, 2],
                        [-12, -6, 3, 0, 4, 0, 4, 0, 3],
                        [-11, -7, 3, 0, 5, 0, 2],
                        [-10, -8, 1, 0, 1]],
           'q': '-3+ 10*x+ 14*x^2-12*x^3-28*x^4-6*x^5+ 14*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 24): {'jones': [-4, 5, 1, -3, 5, -7, 8, -7, 7, -4, 2, -1],
           'kauffman': [0,
                        8,
                        [-4, 2, -2, 0, -5, 0, -3, 0, -1],
                        [-5, 3, 2, 0, 3, 0, 2, 0, 2, 0, 1],
                        [-4, 4, 4, 0, 10, 0, 9, 0, 2, 0, -1],
                        [-5, 3, -3, 0, -3, 0, 1, 0, -3, 0, -4],
                        [-4, 4, -5, 0, -10, 0, -11, 0, -5, 0, 1],
                        [-5, 3, 1, 0, -2, 0, -7, 0, -1, 0, 3],
                        [-4, 2, 2, 0, 3, 0, 5, 0, 4],
                        [-3, 1, 2, 0, 5, 0, 3],
                        [-2, 0, 1, 0, 1]],
           'q': '-11+ 10*x+ 24*x^2-12*x^3-30*x^4-6*x^5+ 14*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 25): {'jones': [-1, 8, 1, -2, 5, -7, 8, -8, 7, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [-8, 0, -1, 0, -3, 0, -3, 0, -1, 0, 1],
                        [-9, -3, 1, 0, 1, 0, -1, 0, -1],
                        [-8, 0, 4, 0, 13, 0, 13, 0, 2, 0, -2],
                        [-9, -1, -2, 0, -2, 0, 5, 0, 3, 0, -2],
                        [-8, 0, -7, 0, -18, 0, -15, 0, -3, 0, 1],
                        [-9, -1, 1, 0, -4, 0, -10, 0, -3, 0, 2],
                        [-8, -2, 3, 0, 6, 0, 6, 0, 3],
                        [-7, -3, 3, 0, 6, 0, 3],
                        [-6, -4, 1, 0, 1]],
           'q': '-7+ 30*x^2+ 2*x^3-42*x^4-14*x^5+ 18*x^6+ 12*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 26): {'jones': [-7, 2, 1, -3, 5, -7, 8, -8, 7, -4, 3, -1],
           'kauffman': [0,
                        8,
                        [2, 6, -3, 0, -3, 0, -1],
                        [1, 7, -1, 0, -1, 0, 1, 0, 1],
                        [0, 8, 5, 0, 13, 0, 11, 0, 2, 0, -1],
                        [-1, 7, -2, 0, 3, 0, 7, 0, -2, 0, -4],
                        [0, 8, -8, 0, -16, 0, -14, 0, -5, 0, 1],
                        [-1, 7, 1, 0, -6, 0, -11, 0, -1, 0, 3],
                        [0, 6, 3, 0, 5, 0, 6, 0, 4],
                        [1, 5, 3, 0, 6, 0, 3],
                        [2, 4, 1, 0, 1]],
           'q': '-7+ 30*x^2+ 2*x^3-42*x^4-14*x^5+ 18*x^6+ 12*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 27): {'jones': [-4, 5, 1, -3, 5, -7, 9, -8, 7, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [-4, 2, -1, 0, -3, 0, -2, 0, -1],
                        [-5, 3, 1, 0, 2, 0, 2, 0, 2, 0, 1],
                        [-4, 4, 4, 0, 12, 0, 12, 0, 3, 0, -1],
                        [-5, 3, -2, 0, -2, 0, 0, 0, -4, 0, -4],
                        [-4, 4, -7, 0, -17, 0, -16, 0, -5, 0, 1],
                        [-5, 3, 1, 0, -4, 0, -8, 0, 0, 0, 3],
                        [-4, 2, 3, 0, 6, 0, 7, 0, 4],
                        [-3, 1, 3, 0, 6, 0, 3],
                        [-2, 0, 1, 0, 1]],
           'q': '-7+ 8*x+ 30*x^2-12*x^3-44*x^4-8*x^5+ 20*x^6+ 12*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 28): {'jones': [-2, 7, -1, 3, -5, 8, -8, 9, -8, 5, -3, 1],
           'kauffman': [0,
                        8,
                        [-6, 0, -1, 0, -4, 0, -5, 0, -1],
                        [-7, 1, 2, 0, 6, 0, 6, 0, 3, 0, 1],
                        [-8, 0, -1, 0, 2, 0, 12, 0, 14, 0, 5],
                        [-7, 1, -4, 0, -9, 0, -7, 0, -4, 0, -2],
                        [-8, 0, 1, 0, -4, 0, -17, 0, -19, 0, -7],
                        [-7, 1, 3, 0, 2, 0, -5, 0, -3, 0, 1],
                        [-6, 0, 4, 0, 8, 0, 7, 0, 3],
                        [-5, -1, 3, 0, 6, 0, 3],
                        [-4, -2, 1, 0, 1]],
           'q': '-11+ 18*x+ 32*x^2-26*x^3-46*x^4-2*x^5+ 22*x^6+ 12*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 29): {'jones': [-6, 3, -1, 3, -6, 8, -8, 9, -7, 5, -3, 1],
           'kauffman': [0,
                        8,
                        [-2, 4, -1, 0, -3, 0, -5, 0, -2],
                        [-1, 5, -1, 0, -1, 0, 2, 0, 2],
                        [-2, 4, 3, 0, 12, 0, 17, 0, 8],
                        [-1, 7, 9, 0, 14, 0, -1, 0, -5, 0, 1],
                        [-2, 6, -3, 0, -11, 0, -24, 0, -13, 0, 3],
                        [-1, 5, -10, 0, -24, 0, -8, 0, 6],
                        [-2, 4, 1, 0, -1, 0, 6, 0, 8],
                        [-1, 3, 3, 0, 9, 0, 6],
                        [0, 2, 2, 0, 2]],
           'q': '-11+ 2*x+ 40*x^2+ 18*x^3-48*x^4-36*x^5+ 14*x^6+ 18*x^7+ 4*x^8',
           'symmetry': 'reversible'},
 (9, 30): {'jones': [-5, 4, -1, 3, -5, 8, -9, 9, -8, 6, -3, 1],
           'kauffman': [0,
                        8,
                        [-2, 4, -2, 0, -4, 0, -4, 0, -1],
                        [-3, 5, 1, 0, 1, 0, 1, 0, 2, 0, 1],
                        [-4, 4, -1, 0, 5, 0, 17, 0, 16, 0, 5],
                        [-3, 5, -3, 0, -2, 0, 0, 0, -3, 0, -2],
                        [-4, 4, 1, 0, -7, 0, -23, 0, -22, 0, -7],
                        [-3, 5, 3, 0, -2, 0, -9, 0, -3, 0, 1],
                        [-2, 4, 5, 0, 10, 0, 8, 0, 3],
                        [-1, 3, 4, 0, 7, 0, 3],
                        [0, 2, 1, 0, 1]],
           'q': '-11+ 6*x+ 42*x^2-10*x^3-58*x^4-10*x^5+ 26*x^6+ 14*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 31): {'jones': [-2, 7, -1, 3, -5, 8, -9, 10, -8, 6, -4, 1],
           'kauffman': [0,
                        8,
                        [-4, 0, -2, 0, -4, 0, -1],
                        [-5, 1, 3, 0, 5, 0, 3, 0, 1],
                        [-6, 0, 3, 0, 13, 0, 15, 0, 5],
                        [-7, 1, -4, 0, -8, 0, -5, 0, -3, 0, -2],
                        [-8, 0, 1, 0, -8, 0, -23, 0, -21, 0, -7],
                        [-7, 1, 4, 0, 1, 0, -7, 0, -3, 0, 1],
                        [-6, 0, 6, 0, 11, 0, 8, 0, 3],
                        [-5, -1, 4, 0, 7, 0, 3],
                        [-4, -2, 1, 0, 1]],
           'q': '-7+ 12*x+ 36*x^2-22*x^3-58*x^4-4*x^5+ 28*x^6+ 14*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 32): {'jones': [-7, 2, 1, -3, 6, -9, 10, -10, 9, -6, 4, -1],
           'kauffman': [0,
                        8,
                        [0, 6, 1, 0, -1, 0, -2, 0, -1],
                        [1, 7, -1, 0, -2, 0, 0, 0, 1],
                        [0, 8, 3, 0, 10, 0, 12, 0, 4, 0, -1],
                        [-1, 7, -1, 0, 3, 0, 9, 0, 2, 0, -3],
                        [0, 8, -8, 0, -19, 0, -18, 0, -6, 0, 1],
                        [-1, 7, 1, 0, -9, 0, -18, 0, -5, 0, 3],
                        [0, 6, 4, 0, 6, 0, 7, 0, 5],
                        [1, 5, 5, 0, 10, 0, 5],
                        [2, 4, 2, 0, 2]],
           'q': '-3-2*x+ 28*x^2+ 10*x^3-50*x^4-28*x^5+ 22*x^6+ 20*x^7+ 4*x^8',
           'symmetry': 'chiral'},
 (9, 33): {'jones': [-5, 4, -1, 3, -6, 9, -10, 11, -9, 7, -4, 1],
           'kauffman': [0,
                        8,
                        [2, 4, -2, 0, -1],
                        [3, 5, 1, 0, 1],
                        [-2, 4, 3, 0, 9, 0, 10, 0, 4],
                        [-3, 5, -3, 0, -1, 0, 5, 0, 1, 0, -2],
                        [-4, 4, 1, 0, -9, 0, -20, 0, -16, 0, -6],
                        [-3, 5, 4, 0, -5, 0, -16, 0, -6, 0, 1],
                        [-2, 4, 7, 0, 9, 0, 5, 0, 3],
                        [-1, 3, 6, 0, 10, 0, 4],
                        [0, 2, 2, 0, 2]],
           'q': '-3+ 2*x+ 26*x^2-50*x^4-22*x^5+ 24*x^6+ 20*x^7+ 4*x^8',
           'symmetry': 'chiral'},
 (9, 34): {'jones': [-5, 4, -1, 4, -7, 10, -12, 12, -10, 8, -4, 1],
           'kauffman': [0,
                        8,
                        [-2, 2, -1, 0, -1, 0, -1],
                        [-1, 1, -1, 0, -1],
                        [-2, 4, 4, 0, 11, 0, 10, 0, 3],
                        [-3, 5, -2, 0, 4, 0, 12, 0, 5, 0, -1],
                        [-4, 4, 1, 0, -10, 0, -23, 0, -19, 0, -7],
                        [-3, 5, 4, 0, -10, 0, -26, 0, -11, 0, 1],
                        [-2, 4, 8, 0, 9, 0, 5, 0, 4],
                        [-1, 3, 8, 0, 14, 0, 6],
                        [0, 2, 3, 0, 3]],
           'q': '-3-2*x+ 28*x^2+ 18*x^3-58*x^4-42*x^5+ 26*x^6+ 28*x^7+ 6*x^8',
           'symmetry': 'reversible'},
 (9, 35): {'jones': [1, 10, 1, -2, 3, -4, 5, -3, 4, -3, 1, -1],
           'kauffman': [0,
                        8,
                        [-10, -6, 1, 0, -1, 0, -3],
                        [-11, -7, -8, 0, -9, 0, -1],
                        [-10, -2, 1, 0, 16, 0, 12, 0, -2, 0, 1],
                        [-11, -3, 12, 0, 23, 0, 3, 0, -6, 0, 2],
                        [-10, -4, 3, 0, -15, 0, -15, 0, 3],
                        [-11, -5, -6, 0, -18, 0, -8, 0, 4],
                        [-10, -6, -4, 0, 1, 0, 5],
                        [-11, -7, 1, 0, 4, 0, 3],
                        [-10, -8, 1, 0, 1]],
           'q': '-3-18*x+ 28*x^2+ 34*x^3-24*x^4-28*x^5+ 2*x^6+ 8*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 36): {'jones': [-9, 0, -1, 2, -4, 6, -6, 6, -5, 4, -2, 1],
           'kauffman': [0,
                        8,
                        [2, 8, -2, 0, -3, 0, -4, 0, -2],
                        [3, 11, -1, 0, -2, 0, 1, 0, 1, 0, -1],
                        [2, 10, 5, 0, 12, 0, 15, 0, 7, 0, -1],
                        [3, 11, 6, 0, 9, 0, 0, 0, -2, 0, 1],
                        [2, 10, -4, 0, -12, 0, -17, 0, -7, 0, 2],
                        [3, 9, -7, 0, -14, 0, -4, 0, 3],
                        [2, 8, 1, 0, 1, 0, 4, 0, 4],
                        [3, 7, 2, 0, 5, 0, 3],
                        [4, 6, 1, 0, 1]],
           'q': '-11-2*x+ 38*x^2+ 14*x^3-38*x^4-22*x^5+ 10*x^6+ 10*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 37): {'jones': [-4, 5, 1, -2, 5, -7, 7, -8, 7, -4, 3, -1],
           'kauffman': [0,
                        8,
                        [-2, 4, -2, 0, -2, 0, 0, 0, 1],
                        [-3, 1, -2, 0, -7, 0, -5],
                        [-4, 4, 5, 0, 14, 0, 12, 0, 1, 0, -2],
                        [-5, 3, -2, 0, 3, 0, 13, 0, 6, 0, -2],
                        [-4, 4, -8, 0, -17, 0, -13, 0, -3, 0, 1],
                        [-5, 3, 1, 0, -6, 0, -13, 0, -4, 0, 2],
                        [-4, 2, 3, 0, 5, 0, 5, 0, 3],
                        [-3, 1, 3, 0, 6, 0, 3],
                        [-2, 0, 1, 0, 1]],
           'q': '-3-14*x+ 30*x^2+ 18*x^3-40*x^4-20*x^5+ 16*x^6+ 12*x^7+ 2*x^8',
           'symmetry': 'reversible'},
 (9, 38): {'jones': [2, 11, 1, -3, 7, -8, 10, -10, 8, -6, 3, -1],
           'kauffman': [0,
                        8,
                        [-8, -6, -3, 0, -4],
                        [-13, -7, 1, 0, -1, 0, 1, 0, 3],
                        [-12, -4, 3, 0, 3, 0, 10, 0, 9, 0, -1],
                        [-13, -5, -2, 0, 3, 0, 5, 0, -2, 0, -2],
                        [-12, -4, -6, 0, -10, 0, -15, 0, -10, 0, 1],
                        [-13, -5, 1, 0, -7, 0, -15, 0, -4, 0, 3],
                        [-12, -6, 3, 0, 3, 0, 6, 0, 6],
                        [-11, -7, 4, 0, 9, 0, 5],
                        [-10, -8, 2, 0, 2]],
           'q': '-7+ 4*x+ 24*x^2+ 2*x^3-40*x^4-22*x^5+ 18*x^6+ 18*x^7+ 4*x^8',
           'symmetry': 'reversible'},
 (9, 39): {'jones': [-8, 1, -1, 3, -6, 8, -9, 10, -8, 6, -3, 1],
           'kauffman': [0,
                        8,
                        [2, 8, -2, 0, -2, 0, -2, 0, -1],
                        [3, 9, -1, 0, -3, 0, -1, 0, 1],
                        [0, 8, -1, 0, 5, 0, 12, 0, 9, 0, 3],
                        [1, 9, -3, 0, 5, 0, 12, 0, 2, 0, -2],
                        [0, 8, 1, 0, -7, 0, -15, 0, -13, 0, -6],
                        [1, 9, 3, 0, -7, 0, -18, 0, -7, 0, 1],
                        [2, 8, 5, 0, 5, 0, 3, 0, 3],
                        [3, 7, 5, 0, 9, 0, 4],
                        [4, 6, 2, 0, 2]],
           'q': '-7-4*x+ 28*x^2+ 14*x^3-40*x^4-28*x^5+ 16*x^6+ 18*x^7+ 4*x^8',
           'symmetry': 'reversible'},
 (9, 40): {'jones': [-2, 7, -1, 5, -8, 11, -13, 13, -11, 8, -4, 1],
           'kauffman': [0,
                        8,
                        [-4, 0, 1, 0, 2, 0, 2],
                        [-5, -3, -1, 0, -1],
                        [-6, -2, 4, 0, 7, 0, 3],
                        [-7, -1, -2, 0, 6, 0, 14, 0, 6],
                        [-8, 0, 1, 0, -9, 0, -20, 0, -17, 0, -7],
                        [-7, 1, 4, 0, -12, 0, -32, 0, -15, 0, 1],
                        [-6, 0, 8, 0, 7, 0, 4, 0, 5],
                        [-5, -1, 9, 0, 17, 0, 8],
                        [-4, -2, 4, 0, 4]],
           'q': '5-2*x+ 14*x^2+ 24*x^3-52*x^4-54*x^5+ 24*x^6+ 34*x^7+ 8*x^8',
           'symmetry': 'reversible'},
 (9, 41): {'jones': [-6, 3, 1, -3, 5, -7, 8, -8, 8, -5, 3, -1],
           'kauffman': [0,
                        8,
                        [2, 6, -3, 0, -3, 0, -1],
                        [1, 5, -2, 0, -4, 0, -2],
                        [-2, 6, -1, 0, 6, 0, 17, 0, 13, 0, 3],
                        [-3, 5, 1, 0, -3, 0, 6, 0, 19, 0, 9],
                        [-2, 6, 3, 0, -11, 0, -23, 0, -12, 0, -3],
                        [-1, 5, 5, 0, -11, 0, -26, 0, -10],
                        [0, 6, 7, 0, 5, 0, -1, 0, 1],
                        [1, 5, 6, 0, 9, 0, 3],
                        [2, 4, 2, 0, 2]],
           'q': '-7-8*x+ 38*x^2+ 32*x^3-46*x^4-42*x^5+ 12*x^6+ 18*x^7+ 4*x^8',
           'symmetry': 'reversible'},
 (9, 42): {'jones': [-3, 3, 1, -1, 1, -1, 1, -1, 1],
           'kauffman': [0,
                        7,
                        [-2, 2, -2, 0, -3, 0, -2],
                        [-1, 1, -2, 0, -2],
                        [-2, 2, 6, 0, 12, 0, 6],
                        [-1, 1, 6, 0, 6],
                        [-2, 2, -5, 0, -10, 0, -5],
                        [-1, 1, -5, 0, -5],
                        [-2, 2, 1, 0, 2, 0, 1],
                        [-1, 1, 1, 0, 1]],
           'q': '-7-4*x+ 24*x^2+ 12*x^3-20*x^4-10*x^5+ 4*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (9, 43): {'jones': [0, 7, 1, -1, 2, -2, 2, -2, 2, -1],
           'kauffman': [0,
                        7,
                        [-8, -2, -1, 0, -3, 0, -4, 0, -3],
                        [-9, -7, 1, 0, 1],
                        [-8, -2, 2, 0, 9, 0, 14, 0, 7],
                        [-7, -3, -2, 0, 1, 0, 3],
                        [-6, -2, -8, 0, -13, 0, -5],
                        [-7, -3, 1, 0, -3, 0, -4],
                        [-6, -2, 2, 0, 3, 0, 1],
                        [-5, -3, 1, 0, 1]],
           'q': '-11+ 2*x+ 32*x^2+ 2*x^3-26*x^4-6*x^5+ 6*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (9, 44): {'jones': [-2, 5, 1, -2, 3, -3, 3, -2, 2, -1],
           'kauffman': [0,
                        7,
                        [-4, 2, -1, 0, -3, 0, -2, 0, -1],
                        [-5, 1, 1, 0, 1, 0, -1, 0, -1],
                        [-4, 2, 5, 0, 10, 0, 6, 0, 1],
                        [-5, 1, -3, 0, -1, 0, 4, 0, 2],
                        [-4, 0, -7, 0, -10, 0, -3],
                        [-5, -1, 1, 0, -2, 0, -3],
                        [-4, 0, 2, 0, 3, 0, 1],
                        [-3, -1, 1, 0, 1]],
           'q': '-7+ 22*x^2+ 2*x^3-20*x^4-4*x^5+ 6*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (9, 45): {'jones': [-8, -1, -1, 2, -3, 4, -4, 4, -3, 2],
           'kauffman': [0,
                        7,
                        [2, 8, -2, 0, -2, 0, -2, 0, -1],
                        [7, 9, 2, 0, 2],
                        [2, 8, 3, 0, 6, 0, 7, 0, 4],
                        [3, 9, 1, 0, -1, 0, -5, 0, -3],
                        [4, 8, -4, 0, -10, 0, -6],
                        [3, 9, 1, 0, 0, 0, 0, 0, 1],
                        [4, 8, 2, 0, 4, 0, 2],
                        [5, 7, 1, 0, 1]],
           'q': '-7+ 4*x+ 20*x^2-8*x^3-20*x^4+ 2*x^5+ 8*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (9, 46): {'jones': [-6, 0, 1, -1, 1, -2, 1, -1, 2],
           'kauffman': [0,
                        7,
                        [0, 6, 2, 0, 1, 0, -1, 0, -1],
                        [1, 5, -2, 0, -6, 0, -4],
                        [2, 6, 3, 0, 9, 0, 6],
                        [1, 5, 1, 0, 8, 0, 7],
                        [2, 6, -4, 0, -9, 0, -5],
                        [3, 5, -5, 0, -5],
                        [2, 6, 1, 0, 2, 0, 1],
                        [3, 5, 1, 0, 1]],
           'q': '1-12*x+ 18*x^2+ 16*x^3-18*x^4-10*x^5+ 4*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (9, 47): {'jones': [-2, 5, -1, 3, -3, 5, -5, 4, -4, 2],
           'kauffman': [0,
                        7,
                        [-6, 0, -1, 0, -2, 0, -1, 0, 1],
                        [-5, -1, -3, 0, -5, 0, -2],
                        [-6, 0, 3, 0, 9, 0, 11, 0, 5],
                        [-5, 1, 3, 0, 6, 0, 1, 0, -2],
                        [-4, 0, -7, 0, -16, 0, -9],
                        [-5, 1, 1, 0, -4, 0, -4, 0, 1],
                        [-4, 0, 3, 0, 6, 0, 3],
                        [-3, -1, 2, 0, 2]],
           'q': '-3-10*x+ 28*x^2+ 8*x^3-32*x^4-6*x^5+ 12*x^6+ 4*x^7',
           'symmetry': 'reversible'},
 (9, 48): {'jones': [-6, 1, -2, 3, -4, 6, -4, 4, -3, 1],
           'kauffman': [0,
                        7,
                        [4, 6, 3, 0, 2],
                        [3, 7, -1, 0, -5, 0, -4],
                        [0, 6, -1, 0, 2, 0, 2, 0, -1],
                        [1, 7, -5, 0, -3, 0, 5, 0, 3],
                        [0, 4, 1, 0, -5, 0, -6],
                        [1, 5, 3, 0, 2, 0, -1],
                        [2, 6, 3, 0, 4, 0, 1],
                        [3, 5, 1, 0, 1]],
           'q': '5-10*x+ 2*x^2-10*x^4+ 4*x^5+ 8*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (9, 49): {'jones': [2, 9, 1, -2, 4, -4, 5, -4, 3, -2],
           'kauffman': [0,
                        7,
                        [-8, -6, -3, 0, -4],
                        [-11, -7, -4, 0, -2, 0, 2],
                        [-10, -4, -1, 0, 10, 0, 9, 0, -2],
                        [-11, -5, 3, 0, 3, 0, -3, 0, -3],
                        [-8, -4, -9, 0, -8, 0, 1],
                        [-9, -5, -1, 0, 1, 0, 2],
                        [-10, -6, 1, 0, 4, 0, 3],
                        [-9, -7, 1, 0, 1]],
           'q': '-7-4*x+ 16*x^2-16*x^4+ 2*x^5+ 8*x^6+ 2*x^7',
           'symmetry': 'reversible'},
 (10, 1): {'jones': [-2, 8, 1, -1, 2, -2, 2, -2, 2, -2, 1, -1, 1],
           'kauffman': [0,
                        9,
                        [-8, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1],
                        [-7, -5, 4, 0, 4],
                        [-8, 2, -10, 0, -11, 0, 0, 0, 0, 0, 0, 0, 1],
                        [-7, 1, -14, 0, -11, 0, 1, 0, -1, 0, 1],
                        [-8, 0, 15, 0, 21, 0, 3, 0, -2, 0, 1],
                        [-7, -1, 16, 0, 12, 0, -3, 0, 1],
                        [-8, -2, -7, 0, -12, 0, -4, 0, 1],
                        [-7, -3, -7, 0, -6, 0, 1],
                        [-8, -4, 1, 0, 2, 0, 1],
                        [-7, -5, 1, 0, 1]],
           'q': '1+ 8*x-20*x^2-24*x^3+ 38*x^4+ 26*x^5-22*x^6-12*x^7+ 4*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 2): {'jones': [1, 11, 1, -1, 2, -2, 3, -3, 3, -3, 2, -2, 1],
           'kauffman': [0,
                        9,
                        [-8, -4, 1, 0, 4, 0, 4],
                        [-13, -5, -1, 0, -1, 0, 1, 0, -1, 0, -2],
                        [-14, -4, 1, 0, -1, 0, 0, 0, -5, 0, -21, 0, -14],
                        [-13, -5, 2, 0, -2, 0, 2, 0, 3, 0, -3],
                        [-12, -4, 2, 0, -4, 0, 11, 0, 33, 0, 16],
                        [-11, -5, 2, 0, -6, 0, 2, 0, 10],
                        [-10, -4, 2, 0, -9, 0, -18, 0, -7],
                        [-9, -5, 2, 0, -4, 0, -6],
                        [-8, -4, 2, 0, 3, 0, 1],
                        [-7, -5, 1, 0, 1]],
           'q': '9-4*x-40*x^2+ 2*x^3+ 58*x^4+ 8*x^5-32*x^6-8*x^7+ 6*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 3): {'jones': [-4, 6, 1, -1, 2, -3, 4, -4, 3, -3, 2, -1, 1],
           'kauffman': [0,
                        9,
                        [-6, 4, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1],
                        [-3, -1, 6, 0, 6],
                        [-6, 4, 6, 0, -2, 0, -12, 0, 0, 0, 1, 0, -3],
                        [-5, 3, 3, 0, -18, 0, -15, 0, 4, 0, -2],
                        [-6, 4, -5, 0, 4, 0, 18, 0, 6, 0, -2, 0, 1],
                        [-5, 3, -4, 0, 15, 0, 15, 0, -3, 0, 1],
                        [-6, 2, 1, 0, -4, 0, -10, 0, -4, 0, 1],
                        [-5, 1, 1, 0, -6, 0, -6, 0, 1],
                        [-4, 0, 1, 0, 2, 0, 1],
                        [-3, -1, 1, 0, 1]],
           'q': '1+ 12*x-10*x^2-28*x^3+ 22*x^4+ 24*x^5-16*x^6-10*x^7+ 4*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 4): {'jones': [-5, 5, 1, -2, 3, -3, 4, -4, 3, -3, 2, -1, 1],
           'kauffman': [0,
                        9,
                        [-4, 4, 2, 0, 2, 0, 0, 0, 0, 0, 1],
                        [-3, 1, 2, 0, -1, 0, -3],
                        [-4, 6, -13, 0, -16, 0, 1, 0, 0, 0, -3, 0, 1],
                        [-3, 5, -7, 0, 7, 0, 8, 0, -4, 0, 2],
                        [-4, 4, 16, 0, 29, 0, 4, 0, -6, 0, 3],
                        [-3, 3, 11, 0, -2, 0, -10, 0, 3],
                        [-4, 2, -7, 0, -17, 0, -7, 0, 3],
                        [-3, 1, -6, 0, -3, 0, 3],
                        [-4, 0, 1, 0, 3, 0, 2],
                        [-3, -1, 1, 0, 1]],
           'q': '5-2*x-30*x^2+ 6*x^3+ 46*x^4+ 2*x^5-28*x^6-6*x^7+ 6*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 5): {'jones': [-9, 1, -1, 2, -3, 4, -5, 5, -4, 4, -2, 2, -1],
           'kauffman': [0,
                        9,
                        [2, 6, 1, 0, 5, 0, 3],
                        [1, 11, -1, 0, -2, 0, -3, 0, -1, 0, 0, 0, -1],
                        [2, 10, -10, 0, -22, 0, -9, 0, 1, 0, -2],
                        [1, 11, 6, 0, 7, 0, 6, 0, 3, 0, -1, 0, 1],
                        [2, 10, 18, 0, 32, 0, 10, 0, -2, 0, 2],
                        [1, 9, -5, 0, -2, 0, -3, 0, -4, 0, 2],
                        [2, 8, -11, 0, -20, 0, -7, 0, 2],
                        [1, 7, 1, 0, -3, 0, -2, 0, 2],
                        [2, 6, 2, 0, 4, 0, 2],
                        [3, 5, 1, 0, 1]],
           'q': '9-8*x-42*x^2+ 22*x^3+ 60*x^4-12*x^5-36*x^6-2*x^7+ 8*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 6): {'jones': [0, 10, 1, -1, 3, -4, 5, -6, 6, -5, 3, -2, 1],
           'kauffman': [0,
                        9,
                        [-8, -2, 1, 0, 1, 0, -2, 0, -3],
                        [-11, -3, 1, 0, 0, 0, 0, 0, 3, 0, 2],
                        [-12, -2, -2, 0, 1, 0, -5, 0, -10, 0, 5, 0, 7],
                        [-11, -5, -4, 0, 4, 0, -2, 0, -10],
                        [-12, -2, 1, 0, -3, 0, 12, 0, 18, 0, -3, 0, -5],
                        [-11, -3, 2, 0, -4, 0, 5, 0, 8, 0, -3],
                        [-10, -2, 2, 0, -7, 0, -12, 0, -2, 0, 1],
                        [-9, -3, 2, 0, -3, 0, -4, 0, 1],
                        [-8, -4, 2, 0, 3, 0, 1],
                        [-7, -5, 1, 0, 1]],
           'q': '-3+ 6*x-4*x^2-12*x^3+ 20*x^4+ 8*x^5-18*x^6-4*x^7+ 6*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 7): {'jones': [-1, 9, 1, -2, 4, -5, 7, -7, 6, -5, 3, -2, 1],
           'kauffman': [0,
                        9,
                        [-8, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1],
                        [-9, -5, -3, 0, -5, 0, -2],
                        [-10, 0, 3, 0, -3, 0, -10, 0, -4, 0, -2, 0, -2],
                        [-9, -1, 8, 0, 10, 0, 6, 0, 1, 0, -3],
                        [-10, 0, -4, 0, 6, 0, 20, 0, 8, 0, -1, 0, 1],
                        [-9, -1, -8, 0, -6, 0, -2, 0, -2, 0, 2],
                        [-10, -2, 1, 0, -7, 0, -15, 0, -5, 0, 2],
                        [-9, -3, 2, 0, -1, 0, -1, 0, 2],
                        [-8, -4, 2, 0, 4, 0, 2],
                        [-7, -5, 1, 0, 1]],
           'q': '5-10*x-18*x^2+ 22*x^3+ 30*x^4-16*x^5-24*x^6+ 2*x^7+ 8*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 8): {'jones': [-2, 8, 1, -1, 2, -3, 4, -4, 4, -4, 3, -2, 1],
           'kauffman': [0,
                        9,
                        [-6, 0, -1, 0, 0, 0, 3, 0, 3],
                        [-7, -3, 2, 0, 1, 0, -1],
                        [-10, 0, 1, 0, -2, 0, 5, 0, 3, 0, -18, 0, -13],
                        [-9, -1, 2, 0, -7, 0, 2, 0, 5, 0, -6],
                        [-8, 0, 3, 0, -10, 0, 1, 0, 30, 0, 16],
                        [-7, -1, 4, 0, -8, 0, -1, 0, 11],
                        [-6, 0, 4, 0, -6, 0, -17, 0, -7],
                        [-5, -1, 3, 0, -3, 0, -6],
                        [-4, 0, 2, 0, 3, 0, 1],
                        [-3, -1, 1, 0, 1]],
           'q': '5+ 2*x-24*x^2-4*x^3+ 40*x^4+ 6*x^5-26*x^6-6*x^7+ 6*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 9): {'jones': [-3, 7, 1, -2, 3, -4, 6, -6, 6, -5, 3, -2, 1],
           'kauffman': [0,
                        9,
                        [-4, 0, 2, 0, 4, 0, 3],
                        [-7, 1, 1, 0, 0, 0, -2, 0, -2, 0, -1],
                        [-8, 2, -2, 0, 1, 0, -8, 0, -22, 0, -8, 0, 3],
                        [-7, 1, -4, 0, 4, 0, 5, 0, 4, 0, 7],
                        [-8, 2, 1, 0, -3, 0, 13, 0, 31, 0, 10, 0, -4],
                        [-7, 1, 2, 0, -4, 0, 0, 0, -2, 0, -8],
                        [-6, 2, 2, 0, -7, 0, -18, 0, -8, 0, 1],
                        [-5, 1, 2, 0, -2, 0, -2, 0, 2],
                        [-4, 0, 2, 0, 4, 0, 2],
                        [-3, -1, 1, 0, 1]],
           'q': '9-4*x-36*x^2+ 16*x^3+ 48*x^4-12*x^5-30*x^6+ 8*x^8+ 2*x^9',
           'symmetry': 'reversible'},
 (10, 10): {'jones': [-7, 3, -1, 2, -3, 5, -6, 7, -7, 6, -4, 3, -1],
            'kauffman': [0,
                         9,
                         [0, 6, 1, 0, 1, 0, 2, 0, 1],
                         [1, 7, -1, 0, -4, 0, -6, 0, -3],
                         [-2, 6, -2, 0, -2, 0, -4, 0, -12, 0, -8],
                         [-3, 7, 1, 0, -3, 0, 3, 0, 17, 0, 17, 0, 7],
                         [-2, 6, 3, 0, -3, 0, 5, 0, 26, 0, 15],
                         [-1, 7, 4, 0, -7, 0, -16, 0, -10, 0, -5],
                         [0, 6, 4, 0, -7, 0, -21, 0, -10],
                         [1, 7, 4, 0, 2, 0, -1, 0, 1],
                         [2, 6, 3, 0, 5, 0, 2],
                         [3, 5, 1, 0, 1]],
            'q': '5-14*x-28*x^2+ 42*x^3+ 46*x^4-34*x^5-34*x^6+ 6*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 11): {'jones': [-3, 7, 1, -1, 3, -5, 6, -7, 7, -6, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-6, 2, -1, 0, 0, 0, 1, 0, -1, 0, -2],
                         [-5, 1, -2, 0, 2, 0, 5, 0, 1],
                         [-8, 2, -2, 0, 5, 0, 0, 0, -12, 0, 2, 0, 7],
                         [-7, 1, -3, 0, 9, 0, -5, 0, -16, 0, 1],
                         [-8, 2, 1, 0, -6, 0, 5, 0, 16, 0, -1, 0, -5],
                         [-7, 1, 2, 0, -7, 0, 5, 0, 11, 0, -3],
                         [-6, 2, 3, 0, -4, 0, -10, 0, -2, 0, 1],
                         [-5, 1, 3, 0, -2, 0, -4, 0, 1],
                         [-4, 0, 2, 0, 3, 0, 1],
                         [-3, -1, 1, 0, 1]],
            'q': '-3+ 6*x-14*x^3+ 10*x^4+ 8*x^5-12*x^6-2*x^7+ 6*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 12): {'jones': [-8, 2, -1, 2, -4, 6, -7, 8, -7, 6, -3, 2, -1],
            'kauffman': [0,
                         9,
                         [0, 6, -1, 0, -2, 0, 2, 0, 2],
                         [-1, 9, 1, 0, 1, 0, -1, 0, -3, 0, 0, 0, 2],
                         [0, 8, 4, 0, 2, 0, -12, 0, -8, 0, 2],
                         [-1, 9, -3, 0, 0, 0, 5, 0, 4, 0, -1, 0, -3],
                         [0, 8, -6, 0, 4, 0, 23, 0, 8, 0, -5],
                         [-1, 9, 1, 0, -4, 0, -1, 0, 0, 0, -3, 0, 1],
                         [0, 8, 2, 0, -5, 0, -14, 0, -5, 0, 2],
                         [1, 7, 2, 0, -1, 0, -1, 0, 2],
                         [2, 6, 2, 0, 4, 0, 2],
                         [3, 5, 1, 0, 1]],
            'q': '1-12*x^2+ 2*x^3+ 24*x^4-6*x^5-20*x^6+ 2*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 13): {'jones': [-4, 6, 1, -2, 5, -7, 8, -9, 8, -6, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-6, 4, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1],
                         [-5, 1, -1, 0, 1, 0, 0, 0, -2],
                         [-6, 4, 4, 0, 2, 0, -1, 0, 4, 0, 1, 0, -2],
                         [-5, 3, 6, 0, 1, 0, 0, 0, 3, 0, -2],
                         [-6, 4, -4, 0, 1, 0, 6, 0, -3, 0, -3, 0, 1],
                         [-5, 3, -7, 0, -4, 0, -2, 0, -3, 0, 2],
                         [-6, 2, 1, 0, -5, 0, -9, 0, 0, 0, 3],
                         [-5, 1, 2, 0, 0, 0, 1, 0, 3],
                         [-4, 0, 2, 0, 4, 0, 2],
                         [-3, -1, 1, 0, 1]],
            'q': '-3-2*x+ 8*x^2+ 8*x^3-2*x^4-14*x^5-10*x^6+ 6*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 14): {'jones': [0, 10, 1, -2, 4, -6, 9, -9, 9, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, -2, 1, 0, 1, 0, -1],
                         [-11, -3, 1, 0, 2, 0, -2, 0, -4, 0, -1],
                         [-12, -2, -1, 0, 0, 0, -3, 0, -9, 0, -1, 0, 4],
                         [-11, -3, -4, 0, 0, 0, 8, 0, 10, 0, 6],
                         [-12, -2, 1, 0, -4, 0, 5, 0, 16, 0, 2, 0, -4],
                         [-11, -3, 3, 0, -4, 0, -9, 0, -9, 0, -7],
                         [-10, -2, 4, 0, -4, 0, -14, 0, -5, 0, 1],
                         [-9, -3, 4, 0, 3, 0, 1, 0, 2],
                         [-8, -4, 3, 0, 5, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '1-4*x-10*x^2+ 20*x^3+ 16*x^4-26*x^5-18*x^6+ 10*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 15): {'jones': [-6, 4, -1, 2, -4, 6, -6, 7, -6, 5, -3, 2, -1],
            'kauffman': [0,
                         9,
                         [-2, 4, 1, 0, 1, 0, -3, 0, -2],
                         [-3, 7, -2, 0, -3, 0, 0, 0, 3, 0, 1, 0, -1],
                         [-2, 6, -7, 0, -7, 0, 8, 0, 7, 0, -1],
                         [-3, 7, 7, 0, 8, 0, 1, 0, -3, 0, -2, 0, 1],
                         [-2, 6, 15, 0, 16, 0, -8, 0, -7, 0, 2],
                         [-3, 5, -5, 0, -4, 0, -5, 0, -3, 0, 3],
                         [-2, 4, -10, 0, -15, 0, -1, 0, 4],
                         [-3, 3, 1, 0, -2, 0, 0, 0, 3],
                         [-2, 2, 2, 0, 4, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '-3-2*x+ 12*x^3+ 18*x^4-14*x^5-22*x^6+ 2*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 16): {'jones': [-3, 7, 1, -2, 4, -5, 7, -8, 7, -6, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-6, 2, -1, 0, 0, 0, 2, 0, 1, 0, -1],
                         [-5, -3, -4, 0, -4],
                         [-8, 2, -2, 0, 5, 0, 2, 0, -11, 0, -2, 0, 4],
                         [-7, 1, -3, 0, 10, 0, 8, 0, 0, 0, 5],
                         [-8, 2, 1, 0, -6, 0, 2, 0, 17, 0, 4, 0, -4],
                         [-7, 1, 2, 0, -7, 0, -4, 0, -2, 0, -7],
                         [-6, 2, 3, 0, -3, 0, -13, 0, -6, 0, 1],
                         [-5, 1, 3, 0, 0, 0, -1, 0, 2],
                         [-4, 0, 2, 0, 4, 0, 2],
                         [-3, -1, 1, 0, 1]],
            'q': '1-8*x-4*x^2+ 20*x^3+ 14*x^4-18*x^5-18*x^6+ 4*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 17): {'jones': [-5, 5, -1, 2, -3, 5, -6, 7, -6, 5, -3, 2, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, 2, 0, 5, 0, 2],
                         [-5, 5, 1, 0, 0, 0, -3, 0, -3, 0, 0, 0, 1],
                         [-4, 4, 3, 0, -8, 0, -22, 0, -8, 0, 3],
                         [-5, 5, -3, 0, 2, 0, 6, 0, 6, 0, 2, 0, -3],
                         [-4, 4, -6, 0, 11, 0, 34, 0, 11, 0, -6],
                         [-5, 5, 1, 0, -5, 0, 0, 0, 0, 0, -5, 0, 1],
                         [-4, 4, 2, 0, -7, 0, -18, 0, -7, 0, 2],
                         [-3, 3, 2, 0, -2, 0, -2, 0, 2],
                         [-2, 2, 2, 0, 4, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '9-4*x-32*x^2+ 10*x^3+ 44*x^4-8*x^5-28*x^6+ 8*x^8+ 2*x^9',
            'symmetry': 'fully amphicheiral'},
 (10, 18): {'jones': [-3, 7, 1, -2, 4, -6, 8, -9, 9, -7, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-4, 2, 1, 0, 1, 0, 0, 0, -1],
                         [-5, 1, -2, 0, -4, 0, -4, 0, -2],
                         [-8, 2, -1, 0, 1, 0, -3, 0, -8, 0, 1, 0, 4],
                         [-7, 1, -4, 0, 5, 0, 14, 0, 11, 0, 6],
                         [-8, 2, 1, 0, -5, 0, 6, 0, 17, 0, 1, 0, -4],
                         [-7, 1, 3, 0, -6, 0, -12, 0, -10, 0, -7],
                         [-6, 2, 4, 0, -5, 0, -15, 0, -5, 0, 1],
                         [-5, 1, 4, 0, 3, 0, 1, 0, 2],
                         [-4, 0, 3, 0, 5, 0, 2],
                         [-3, -1, 1, 0, 1]],
            'q': '1-12*x-6*x^2+ 32*x^3+ 16*x^4-32*x^5-20*x^6+ 10*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 19): {'jones': [-4, 6, -1, 2, -3, 6, -7, 8, -8, 7, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, 1, 0, 3, 0, 1],
                         [-5, 3, 1, 0, 1, 0, -2, 0, -4, 0, -2],
                         [-6, 2, -1, 0, 3, 0, 0, 0, -13, 0, -9],
                         [-7, 3, 1, 0, -4, 0, 0, 0, 11, 0, 13, 0, 7],
                         [-6, 2, 3, 0, -8, 0, -4, 0, 23, 0, 16],
                         [-5, 3, 5, 0, -7, 0, -15, 0, -8, 0, -5],
                         [-4, 2, 6, 0, -3, 0, -19, 0, -10],
                         [-3, 3, 5, 0, 3, 0, -1, 0, 1],
                         [-2, 2, 3, 0, 5, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '5-6*x-20*x^2+ 28*x^3+ 30*x^4-30*x^5-26*x^6+ 8*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 20): {'jones': [-1, 9, 1, -1, 3, -4, 5, -6, 5, -4, 3, -2, 1],
            'kauffman': [0,
                         9,
                         [-8, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2],
                         [-9, -1, -1, 0, 2, 0, 3, 0, -1, 0, -1],
                         [-10, 0, 3, 0, -5, 0, -9, 0, 0, 0, -2, 0, -3],
                         [-9, -1, 7, 0, -4, 0, -8, 0, 2, 0, -1],
                         [-10, 0, -4, 0, 9, 0, 17, 0, 3, 0, 0, 0, 1],
                         [-9, -1, -8, 0, 3, 0, 9, 0, -1, 0, 1],
                         [-10, -2, 1, 0, -8, 0, -12, 0, -2, 0, 1],
                         [-9, -3, 2, 0, -3, 0, -4, 0, 1],
                         [-8, -4, 2, 0, 3, 0, 1],
                         [-7, -5, 1, 0, 1]],
            'q': '5+ 2*x-16*x^2-4*x^3+ 26*x^4+ 4*x^5-20*x^6-4*x^7+ 6*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 21): {'jones': [0, 10, 1, -2, 4, -5, 7, -7, 7, -6, 3, -2, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 1, 0, 3, 0, 2, 0, -1],
                         [-11, -5, 2, 0, 3, 0, -1, 0, -2],
                         [-12, -2, -2, 0, 0, 0, -5, 0, -14, 0, -3, 0, 4],
                         [-11, -3, -4, 0, 0, 0, 2, 0, 3, 0, 5],
                         [-12, -2, 1, 0, -2, 0, 9, 0, 20, 0, 4, 0, -4],
                         [-11, -3, 2, 0, -2, 0, 0, 0, -3, 0, -7],
                         [-10, -2, 2, 0, -5, 0, -14, 0, -6, 0, 1],
                         [-9, -3, 2, 0, -1, 0, -1, 0, 2],
                         [-8, -4, 2, 0, 4, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '5+ 2*x-20*x^2+ 6*x^3+ 28*x^4-10*x^5-22*x^6+ 2*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 22): {'jones': [-4, 6, 1, -2, 4, -6, 8, -8, 7, -6, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-4, 2, 2, 0, 2, 0, -1, 0, -2],
                         [-5, 1, -1, 0, 1, 0, 1, 0, -1],
                         [-6, 4, 4, 0, -6, 0, -12, 0, 6, 0, 6, 0, -2],
                         [-5, 3, 6, 0, -4, 0, 0, 0, 7, 0, -3],
                         [-6, 4, -4, 0, 6, 0, 16, 0, -1, 0, -6, 0, 1],
                         [-5, 3, -7, 0, 0, 0, -1, 0, -6, 0, 2],
                         [-6, 2, 1, 0, -6, 0, -12, 0, -2, 0, 3],
                         [-5, 1, 2, 0, -1, 0, 0, 0, 3],
                         [-4, 0, 2, 0, 4, 0, 2],
                         [-3, -1, 1, 0, 1]],
            'q': '1-4*x^2+ 6*x^3+ 12*x^4-12*x^5-16*x^6+ 4*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 23): {'jones': [-8, 2, -1, 2, -4, 7, -9, 10, -9, 8, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [4, 6, 3, 0, 2],
                         [1, 9, -1, 0, -2, 0, -2, 0, 1, 0, 2],
                         [0, 8, 3, 0, -1, 0, -13, 0, -6, 0, 3],
                         [-1, 9, -2, 0, 5, 0, 9, 0, 3, 0, -2, 0, -3],
                         [0, 8, -7, 0, 3, 0, 20, 0, 5, 0, -5],
                         [-1, 9, 1, 0, -9, 0, -9, 0, -2, 0, -2, 0, 1],
                         [0, 8, 3, 0, -5, 0, -13, 0, -3, 0, 2],
                         [1, 7, 4, 0, 3, 0, 1, 0, 2],
                         [2, 6, 3, 0, 5, 0, 2],
                         [3, 5, 1, 0, 1]],
            'q': '5-2*x-14*x^2+ 10*x^3+ 16*x^4-20*x^5-16*x^6+ 10*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 24): {'jones': [-1, 9, 1, -2, 5, -7, 9, -9, 8, -7, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-8, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1],
                         [-9, -3, -2, 0, 0, 0, 4, 0, 2],
                         [-10, 0, 4, 0, -2, 0, -5, 0, 5, 0, 2, 0, -2],
                         [-9, -1, 7, 0, -2, 0, -7, 0, 0, 0, -2],
                         [-10, 0, -4, 0, 3, 0, 6, 0, -5, 0, -3, 0, 1],
                         [-9, -1, -7, 0, -2, 0, 1, 0, -2, 0, 2],
                         [-10, -2, 1, 0, -5, 0, -8, 0, 1, 0, 3],
                         [-9, -3, 2, 0, 0, 0, 1, 0, 3],
                         [-8, -4, 2, 0, 4, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '1+ 4*x+ 2*x^2-4*x^3-2*x^4-8*x^5-8*x^6+ 6*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 25): {'jones': [0, 10, 1, -2, 5, -7, 10, -11, 10, -9, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 1, 0, 2, 0, 0, 0, -2],
                         [-11, -3, 1, 0, 0, 0, -2, 0, 0, 0, 1],
                         [-12, -2, -1, 0, 3, 0, 1, 0, -4, 0, 4, 0, 5],
                         [-11, -3, -3, 0, 2, 0, 3, 0, 2, 0, 4],
                         [-12, -2, 1, 0, -6, 0, -5, 0, 3, 0, -3, 0, -4],
                         [-11, -3, 3, 0, -5, 0, -9, 0, -7, 0, -6],
                         [-10, -2, 5, 0, 1, 0, -8, 0, -3, 0, 1],
                         [-9, -3, 5, 0, 5, 0, 2, 0, 2],
                         [-8, -4, 3, 0, 5, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '1+ 8*x^2+ 8*x^3-14*x^4-24*x^5-4*x^6+ 14*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 26): {'jones': [-4, 6, 1, -3, 6, -8, 10, -10, 9, -7, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-4, 2, 2, 0, 3, 0, 1, 0, -1],
                         [-5, 1, -2, 0, -2, 0, -1, 0, -1],
                         [-6, 4, 4, 0, -4, 0, -12, 0, 1, 0, 4, 0, -1],
                         [-5, 3, 7, 0, 4, 0, 5, 0, 5, 0, -3],
                         [-6, 4, -4, 0, 4, 0, 14, 0, -2, 0, -7, 0, 1],
                         [-5, 3, -7, 0, -6, 0, -9, 0, -7, 0, 3],
                         [-6, 2, 1, 0, -5, 0, -12, 0, -1, 0, 5],
                         [-5, 1, 2, 0, 1, 0, 4, 0, 5],
                         [-4, 0, 2, 0, 5, 0, 3],
                         [-3, -1, 1, 0, 1]],
            'q': '5-6*x-8*x^2+ 18*x^3+ 6*x^4-26*x^5-12*x^6+ 12*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 27): {'jones': [-8, 2, -1, 3, -6, 9, -11, 12, -11, 9, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [2, 6, -1, 0, 1, 0, 1],
                         [1, 9, -1, 0, -2, 0, -2, 0, 0, 0, 1],
                         [0, 8, 4, 0, 4, 0, -4, 0, -1, 0, 3],
                         [-1, 9, -2, 0, 5, 0, 11, 0, 7, 0, 1, 0, -2],
                         [0, 8, -7, 0, -3, 0, 7, 0, -3, 0, -6],
                         [-1, 9, 1, 0, -8, 0, -14, 0, -12, 0, -6, 0, 1],
                         [0, 8, 3, 0, -2, 0, -9, 0, -1, 0, 3],
                         [1, 7, 4, 0, 6, 0, 6, 0, 4],
                         [2, 6, 3, 0, 6, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '1-4*x+ 6*x^2+ 20*x^3-12*x^4-38*x^5-6*x^6+ 20*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 28): {'jones': [-7, 3, -1, 2, -4, 6, -7, 9, -8, 7, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [0, 6, -1, 0, -3, 0, 0, 0, 1],
                         [-1, 7, 1, 0, 1, 0, -2, 0, -6, 0, -4],
                         [-2, 6, -1, 0, 4, 0, 10, 0, 0, 0, -5],
                         [-3, 7, 1, 0, -4, 0, -2, 0, 13, 0, 18, 0, 8],
                         [-2, 6, 3, 0, -8, 0, -12, 0, 11, 0, 12],
                         [-1, 7, 5, 0, -6, 0, -18, 0, -12, 0, -5],
                         [0, 6, 6, 0, -1, 0, -16, 0, -9],
                         [1, 7, 5, 0, 4, 0, 0, 0, 1],
                         [2, 6, 3, 0, 5, 0, 2],
                         [3, 5, 1, 0, 1]],
            'q': '-3-10*x+ 8*x^2+ 34*x^3+ 6*x^4-36*x^5-20*x^6+ 10*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 29): {'jones': [-3, 7, 1, -2, 5, -7, 9, -11, 10, -8, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, 2, -1, 0, -1, 0, -1, 0, -2, 0, -2],
                         [-5, -1, -2, 0, 0, 0, 2],
                         [-8, 2, -1, 0, 4, 0, 4, 0, 0, 0, 6, 0, 5],
                         [-7, 1, -3, 0, 6, 0, 7, 0, 2, 0, 4],
                         [-8, 2, 1, 0, -7, 0, -5, 0, 3, 0, -4, 0, -4],
                         [-7, 1, 3, 0, -7, 0, -12, 0, -8, 0, -6],
                         [-6, 2, 5, 0, 0, 0, -9, 0, -3, 0, 1],
                         [-5, 1, 5, 0, 5, 0, 2, 0, 2],
                         [-4, 0, 3, 0, 5, 0, 2],
                         [-3, -1, 1, 0, 1]],
            'q': '-7+ 18*x^2+ 16*x^3-16*x^4-30*x^5-6*x^6+ 14*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 30): {'jones': [-1, 9, 1, -3, 6, -8, 11, -11, 10, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-4, -2, -1, 0, -2],
                         [-9, -3, -2, 0, -6, 0, -5, 0, -1],
                         [-10, 0, 2, 0, 1, 0, 2, 0, 9, 0, 5, 0, -1],
                         [-9, -1, 9, 0, 18, 0, 16, 0, 4, 0, -3],
                         [-10, 0, -3, 0, 2, 0, 2, 0, -11, 0, -7, 0, 1],
                         [-9, -1, -10, 0, -20, 0, -19, 0, -6, 0, 3],
                         [-10, -2, 1, 0, -7, 0, -11, 0, 2, 0, 5],
                         [-9, -3, 3, 0, 5, 0, 7, 0, 5],
                         [-8, -4, 3, 0, 6, 0, 3],
                         [-7, -5, 1, 0, 1]],
            'q': '-3-14*x+ 18*x^2+ 44*x^3-16*x^4-52*x^5-10*x^6+ 20*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 31): {'jones': [-5, 5, -1, 2, -4, 7, -8, 10, -9, 7, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [-2, 4, 1, 0, 2, 0, -1, 0, -1],
                         [-3, 5, -2, 0, -4, 0, -2, 0, 2, 0, 2],
                         [-4, 4, 2, 0, -3, 0, -10, 0, -2, 0, 3],
                         [-5, 5, -2, 0, 7, 0, 15, 0, 6, 0, -3, 0, -3],
                         [-4, 4, -7, 0, 5, 0, 20, 0, 3, 0, -5],
                         [-5, 5, 1, 0, -10, 0, -12, 0, -4, 0, -2, 0, 1],
                         [-4, 4, 3, 0, -6, 0, -14, 0, -3, 0, 2],
                         [-3, 3, 4, 0, 3, 0, 1, 0, 2],
                         [-2, 2, 3, 0, 5, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '1-4*x-10*x^2+ 20*x^3+ 16*x^4-26*x^5-18*x^6+ 10*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 32): {'jones': [-4, 6, 1, -3, 6, -9, 11, -11, 11, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-2, 2, -1, 0, -1, 0, -1],
                         [-5, 3, -1, 0, -2, 0, -1, 0, 1, 0, 1],
                         [-6, 4, 2, 0, 0, 0, 0, 0, 7, 0, 4, 0, -1],
                         [-5, 3, 9, 0, 13, 0, 7, 0, 0, 0, -3],
                         [-6, 4, -3, 0, 3, 0, 2, 0, -11, 0, -6, 0, 1],
                         [-5, 3, -10, 0, -18, 0, -15, 0, -4, 0, 3],
                         [-6, 2, 1, 0, -7, 0, -10, 0, 3, 0, 5],
                         [-5, 1, 3, 0, 5, 0, 7, 0, 5],
                         [-4, 0, 3, 0, 6, 0, 3],
                         [-3, -1, 1, 0, 1]],
            'q': '-3-2*x+ 12*x^2+ 26*x^3-14*x^4-44*x^5-8*x^6+ 20*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 33): {'jones': [-5, 5, -1, 3, -5, 8, -10, 11, -10, 8, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [0, 0, 1],
                         [-3, 3, -2, 0, -6, 0, -6, 0, -2],
                         [-4, 4, 3, 0, 0, 0, -6, 0, 0, 0, 3],
                         [-5, 5, -2, 0, 6, 0, 18, 0, 18, 0, 6, 0, -2],
                         [-4, 4, -7, 0, 1, 0, 16, 0, 1, 0, -7],
                         [-5, 5, 1, 0, -9, 0, -16, 0, -16, 0, -9, 0, 1],
                         [-4, 4, 3, 0, -4, 0, -14, 0, -4, 0, 3],
                         [-3, 3, 4, 0, 5, 0, 5, 0, 4],
                         [-2, 2, 3, 0, 6, 0, 3],
                         [-1, 1, 1, 0, 1]],
            'q': '1-16*x+ 44*x^3+ 4*x^4-48*x^5-16*x^6+ 18*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'fully amphicheiral'},
 (10, 34): {'jones': [-7, 3, -1, 2, -3, 4, -5, 6, -5, 5, -3, 2, -1],
            'kauffman': [0,
                         9,
                         [-2, 6, 1, 0, 2, 0, 0, 0, 1, 0, 1],
                         [-3, 7, -1, 0, -1, 0, 0, 0, -1, 0, -4, 0, -3],
                         [-2, 6, -2, 0, -3, 0, -3, 0, -8, 0, -6],
                         [-3, 7, 1, 0, 0, 0, -1, 0, 5, 0, 12, 0, 7],
                         [-2, 6, 2, 0, 0, 0, 4, 0, 20, 0, 14],
                         [-1, 7, 2, 0, -2, 0, -5, 0, -6, 0, -5],
                         [0, 6, 2, 0, -5, 0, -17, 0, -10],
                         [1, 7, 2, 0, -1, 0, -2, 0, 1],
                         [2, 6, 2, 0, 4, 0, 2],
                         [3, 5, 1, 0, 1]],
            'q': '5-10*x-22*x^2+ 24*x^3+ 40*x^4-16*x^5-30*x^6+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 35): {'jones': [-6, 4, 1, -2, 4, -6, 7, -8, 8, -6, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-4, 6, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1],
                         [-3, 5, 1, 0, 1, 0, 1, 0, -1, 0, -2],
                         [-4, 6, -2, 0, -3, 0, -3, 0, -3, 0, 3, 0, 4],
                         [-3, 5, -3, 0, -2, 0, 0, 0, 5, 0, 6],
                         [-4, 6, 1, 0, 0, 0, 5, 0, 10, 0, 0, 0, -4],
                         [-3, 5, 2, 0, 0, 0, -1, 0, -6, 0, -7],
                         [-2, 6, 2, 0, -3, 0, -11, 0, -5, 0, 1],
                         [-1, 5, 2, 0, 0, 0, 0, 0, 2],
                         [0, 4, 2, 0, 4, 0, 2],
                         [1, 3, 1, 0, 1]],
            'q': '1-4*x^2+ 6*x^3+ 12*x^4-12*x^5-16*x^6+ 4*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 36): {'jones': [-1, 9, 1, -2, 4, -6, 8, -8, 8, -6, 4, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, 0, 1, 0, 2, 0, 1, 0, 1],
                         [-9, -1, -1, 0, -4, 0, -3, 0, 1, 0, 1],
                         [-10, 0, 1, 0, -2, 0, -8, 0, -6, 0, -3, 0, -2],
                         [-9, -1, 9, 0, 16, 0, 8, 0, -2, 0, -3],
                         [-10, 0, -3, 0, 8, 0, 18, 0, 6, 0, 0, 0, 1],
                         [-9, -1, -11, 0, -15, 0, -6, 0, 0, 0, 2],
                         [-10, -2, 1, 0, -10, 0, -16, 0, -3, 0, 2],
                         [-9, -3, 3, 0, 2, 0, 1, 0, 2],
                         [-8, -4, 3, 0, 5, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '5-6*x-20*x^2+ 28*x^3+ 30*x^4-30*x^5-26*x^6+ 8*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 37): {'jones': [-5, 5, -1, 2, -4, 7, -8, 9, -8, 7, -4, 2, -1],
            'kauffman': [0,
                         9,
                         [-4, 4, -1, 0, -1, 0, 1, 0, -1, 0, -1],
                         [-5, 5, 2, 0, 2, 0, -1, 0, -1, 0, 2, 0, 2],
                         [-4, 4, 3, 0, 0, 0, -6, 0, 0, 0, 3],
                         [-5, 5, -3, 0, -3, 0, 1, 0, 1, 0, -3, 0, -3],
                         [-4, 4, -5, 0, 2, 0, 14, 0, 2, 0, -5],
                         [-5, 5, 1, 0, -2, 0, 0, 0, 0, 0, -2, 0, 1],
                         [-4, 4, 2, 0, -3, 0, -10, 0, -3, 0, 2],
                         [-3, 3, 2, 0, 0, 0, 0, 0, 2],
                         [-2, 2, 2, 0, 4, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '-3+ 6*x-10*x^3+ 8*x^4-2*x^5-12*x^6+ 4*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'fully amphicheiral'},
 (10, 38): {'jones': [-1, 9, 1, -2, 5, -7, 9, -10, 9, -7, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, 0, -1, 0, -2, 0, -1, 0, 1],
                         [-9, -7, -1, 0, -1],
                         [-10, 0, 2, 0, 0, 0, 2, 0, 8, 0, 2, 0, -2],
                         [-9, -1, 8, 0, 8, 0, 3, 0, 1, 0, -2],
                         [-10, 0, -3, 0, 4, 0, 3, 0, -8, 0, -3, 0, 1],
                         [-9, -1, -10, 0, -13, 0, -7, 0, -2, 0, 2],
                         [-10, -2, 1, 0, -8, 0, -10, 0, 2, 0, 3],
                         [-9, -3, 3, 0, 3, 0, 3, 0, 3],
                         [-8, -4, 3, 0, 5, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '-3-2*x+ 12*x^2+ 18*x^3-6*x^4-30*x^5-12*x^6+ 12*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 39): {'jones': [0, 10, 1, -2, 5, -7, 9, -10, 10, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-4, -2, -1, 0, -2],
                         [-11, -5, 1, 0, 2, 0, 0, 0, -1],
                         [-12, -2, -1, 0, 1, 0, 1, 0, -1, 0, 5, 0, 5],
                         [-11, -3, -4, 0, -1, 0, 4, 0, 5, 0, 4],
                         [-12, -2, 1, 0, -4, 0, 0, 0, 5, 0, -4, 0, -4],
                         [-11, -3, 3, 0, -3, 0, -9, 0, -9, 0, -6],
                         [-10, -2, 4, 0, -2, 0, -10, 0, -3, 0, 1],
                         [-9, -3, 4, 0, 4, 0, 2, 0, 2],
                         [-8, -4, 3, 0, 5, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '-3+ 2*x+ 10*x^2+ 8*x^3-6*x^4-24*x^5-10*x^6+ 12*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 40): {'jones': [-8, 2, -1, 3, -6, 9, -12, 13, -11, 10, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [0, 6, -1, 0, -3, 0, 0, 0, 1],
                         [-1, 9, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1],
                         [0, 8, 4, 0, 7, 0, 1, 0, 1, 0, 3],
                         [-1, 9, -2, 0, -1, 0, 3, 0, 6, 0, 2, 0, -2],
                         [0, 8, -6, 0, -9, 0, -2, 0, -5, 0, -6],
                         [-1, 9, 1, 0, -5, 0, -12, 0, -13, 0, -6, 0, 1],
                         [0, 8, 3, 0, 1, 0, -5, 0, 0, 0, 3],
                         [1, 7, 4, 0, 7, 0, 7, 0, 4],
                         [2, 6, 3, 0, 6, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '-3+ 6*x+ 16*x^2+ 6*x^3-28*x^4-34*x^5+ 2*x^6+ 22*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 41): {'jones': [-3, 7, 1, -3, 6, -8, 11, -12, 11, -9, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, 2, -1, 0, -2, 0, -2, 0, -1, 0, -1],
                         [-7, 1, 1, 0, 0, 0, -2, 0, -2, 0, -1],
                         [-8, 2, -1, 0, 4, 0, 10, 0, 9, 0, 7, 0, 3],
                         [-7, 1, -3, 0, 1, 0, 10, 0, 13, 0, 7],
                         [-8, 2, 1, 0, -6, 0, -14, 0, -8, 0, -4, 0, -3],
                         [-7, 1, 3, 0, -4, 0, -18, 0, -20, 0, -9],
                         [-6, 2, 5, 0, 4, 0, -7, 0, -5, 0, 1],
                         [-5, 1, 5, 0, 8, 0, 6, 0, 3],
                         [-4, 0, 3, 0, 6, 0, 3],
                         [-3, -1, 1, 0, 1]],
            'q': '-7-4*x+ 32*x^2+ 28*x^3-34*x^4-48*x^5-2*x^6+ 22*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 42): {'jones': [-5, 5, -1, 3, -6, 10, -12, 14, -13, 10, -7, 4, -1],
            'kauffman': [0,
                         9,
                         [-2, 4, -1, 0, -2, 0, -3, 0, -1],
                         [-1, 5, -1, 0, -1, 0, 1, 0, 1],
                         [-4, 4, 2, 0, 6, 0, 9, 0, 9, 0, 4],
                         [-5, 5, -1, 0, 5, 0, 14, 0, 10, 0, 0, 0, -2],
                         [-4, 4, -7, 0, -10, 0, -8, 0, -11, 0, -6],
                         [-5, 5, 1, 0, -11, 0, -24, 0, -18, 0, -5, 0, 1],
                         [-4, 4, 4, 0, 0, 0, -5, 0, 2, 0, 3],
                         [-3, 3, 6, 0, 11, 0, 9, 0, 4],
                         [-2, 2, 4, 0, 7, 0, 3],
                         [-1, 1, 1, 0, 1]],
            'q': '-7+ 30*x^2+ 26*x^3-42*x^4-56*x^5+ 4*x^6+ 30*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 43): {'jones': [-5, 5, -1, 3, -6, 9, -11, 13, -11, 9, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [-4, 4, -1, 0, -2, 0, -1, 0, -2, 0, -1],
                         [-5, 5, 1, 0, 0, 0, -3, 0, -3, 0, 0, 0, 1],
                         [-4, 4, 3, 0, 7, 0, 8, 0, 7, 0, 3],
                         [-5, 5, -2, 0, 1, 0, 12, 0, 12, 0, 1, 0, -2],
                         [-4, 4, -6, 0, -8, 0, -4, 0, -8, 0, -6],
                         [-5, 5, 1, 0, -6, 0, -16, 0, -16, 0, -6, 0, 1],
                         [-4, 4, 3, 0, 0, 0, -6, 0, 0, 0, 3],
                         [-3, 3, 4, 0, 7, 0, 7, 0, 4],
                         [-2, 2, 3, 0, 6, 0, 3],
                         [-1, 1, 1, 0, 1]],
            'q': '-7-4*x+ 28*x^2+ 22*x^3-32*x^4-42*x^5+ 22*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'fully amphicheiral'},
 (10, 44): {'jones': [-3, 7, 1, -3, 6, -9, 12, -13, 13, -10, 7, -4, 1],
            'kauffman': [0,
                         9,
                         [-4, 2, -1, 0, -3, 0, -2, 0, -1],
                         [-3, 1, -2, 0, -4, 0, -2],
                         [-6, 2, 3, 0, 10, 0, 13, 0, 9, 0, 3],
                         [-7, 1, -3, 0, 0, 0, 15, 0, 20, 0, 8],
                         [-8, 2, 1, 0, -8, 0, -18, 0, -12, 0, -6, 0, -3],
                         [-7, 1, 4, 0, -6, 0, -27, 0, -26, 0, -9],
                         [-6, 2, 7, 0, 5, 0, -7, 0, -4, 0, 1],
                         [-5, 1, 7, 0, 12, 0, 8, 0, 3],
                         [-4, 0, 4, 0, 7, 0, 3],
                         [-3, -1, 1, 0, 1]],
            'q': '-7-8*x+ 38*x^2+ 40*x^3-46*x^4-64*x^5+ 2*x^6+ 30*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 45): {'jones': [-5, 5, -1, 4, -7, 11, -14, 15, -14, 11, -7, 4, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, -2, 0, -3, 0, -2],
                         [-3, 3, -1, 0, -5, 0, -5, 0, -1],
                         [-4, 4, 3, 0, 12, 0, 18, 0, 12, 0, 3],
                         [-5, 5, -1, 0, 5, 0, 21, 0, 21, 0, 5, 0, -1],
                         [-4, 4, -7, 0, -17, 0, -20, 0, -17, 0, -7],
                         [-5, 5, 1, 0, -10, 0, -31, 0, -31, 0, -10, 0, 1],
                         [-4, 4, 4, 0, 3, 0, -2, 0, 3, 0, 4],
                         [-3, 3, 6, 0, 14, 0, 14, 0, 6],
                         [-2, 2, 4, 0, 8, 0, 4],
                         [-1, 1, 1, 0, 1]],
            'q': '-7-12*x+ 48*x^2+ 50*x^3-68*x^4-80*x^5+ 12*x^6+ 40*x^7+ 16*x^8+ 2*x^9',
            'symmetry': 'fully amphicheiral'},
 (10, 46): {'jones': [1, 11, 1, -1, 3, -3, 4, -5, 4, -4, 3, -2, 1],
            'kauffman': [0,
                         9,
                         [-8, -4, 3, 0, 8, 0, 6],
                         [-11, -5, 2, 0, -2, 0, -10, 0, -6],
                         [-14, -4, 1, 0, -2, 0, 2, 0, -7, 0, -29, 0, -17],
                         [-13, -5, 2, 0, -7, 0, 9, 0, 23, 0, 5],
                         [-12, -4, 3, 0, -9, 0, 13, 0, 42, 0, 17],
                         [-11, -5, 4, 0, -13, 0, -12, 0, 5],
                         [-10, -4, 4, 0, -12, 0, -23, 0, -7],
                         [-9, -5, 4, 0, -1, 0, -5],
                         [-8, -4, 3, 0, 4, 0, 1],
                         [-7, -5, 1, 0, 1]],
            'q': '17-16*x-52*x^2+ 32*x^3+ 66*x^4-16*x^5-38*x^6-2*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 47): {'jones': [-9, 1, -1, 2, -4, 5, -6, 7, -5, 5, -3, 2, -1],
            'kauffman': [0,
                         9,
                         [2, 6, 3, 0, 9, 0, 5],
                         [1, 11, -3, 0, -8, 0, -9, 0, -1, 0, 2, 0, -1],
                         [2, 10, -9, 0, -26, 0, -15, 0, 1, 0, -1],
                         [1, 11, 7, 0, 20, 0, 19, 0, 2, 0, -3, 0, 1],
                         [2, 10, 15, 0, 35, 0, 15, 0, -3, 0, 2],
                         [1, 9, -5, 0, -11, 0, -14, 0, -5, 0, 3],
                         [2, 8, -10, 0, -23, 0, -10, 0, 3],
                         [1, 7, 1, 0, -1, 0, 1, 0, 3],
                         [2, 6, 2, 0, 5, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '17-20*x-50*x^2+ 46*x^3+ 64*x^4-32*x^5-40*x^6+ 4*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 48): {'jones': [-5, 5, -1, 2, -4, 6, -7, 9, -7, 6, -4, 2, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, 4, 0, 9, 0, 4],
                         [-5, 5, 1, 0, -3, 0, -9, 0, -7, 0, 0, 0, 2],
                         [-4, 4, 1, 0, -13, 0, -27, 0, -11, 0, 2],
                         [-5, 5, -3, 0, 8, 0, 21, 0, 12, 0, -1, 0, -3],
                         [-4, 4, -5, 0, 18, 0, 37, 0, 9, 0, -5],
                         [-5, 5, 1, 0, -9, 0, -11, 0, -5, 0, -3, 0, 1],
                         [-4, 4, 2, 0, -11, 0, -20, 0, -5, 0, 2],
                         [-3, 3, 3, 0, 1, 0, 0, 0, 2],
                         [-2, 2, 3, 0, 5, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '17-16*x-48*x^2+ 34*x^3+ 54*x^4-26*x^5-32*x^6+ 6*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 49): {'jones': [3, 13, 1, -2, 5, -6, 9, -10, 9, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-12, -6, 2, 0, 7, 0, 5, 0, -1],
                         [-15, -9, 1, 0, 0, 0, -10, 0, -9],
                         [-16, -6, -1, 0, 0, 0, -2, 0, -20, 0, -13, 0, 4],
                         [-15, -7, -4, 0, 1, 0, 24, 0, 22, 0, 3],
                         [-16, -6, 1, 0, -4, 0, 2, 0, 26, 0, 15, 0, -4],
                         [-15, -7, 3, 0, -4, 0, -19, 0, -18, 0, -6],
                         [-14, -6, 4, 0, -3, 0, -19, 0, -11, 0, 1],
                         [-13, -7, 4, 0, 5, 0, 3, 0, 2],
                         [-12, -8, 3, 0, 6, 0, 3],
                         [-11, -9, 1, 0, 1]],
            'q': '13-18*x-32*x^2+ 46*x^3+ 36*x^4-44*x^5-28*x^6+ 14*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 50): {'jones': [0, 10, 1, -2, 5, -6, 8, -9, 8, -7, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 2, 0, 4, 0, 1, 0, -2],
                         [-9, -3, -6, 0, -10, 0, -3, 0, 1],
                         [-12, -2, -2, 0, 3, 0, -3, 0, -13, 0, 0, 0, 5],
                         [-11, -3, -3, 0, 16, 0, 22, 0, 6, 0, 3],
                         [-12, -2, 1, 0, -5, 0, 9, 0, 18, 0, -1, 0, -4],
                         [-11, -3, 2, 0, -11, 0, -15, 0, -8, 0, -6],
                         [-10, -2, 3, 0, -7, 0, -15, 0, -4, 0, 1],
                         [-9, -3, 4, 0, 3, 0, 1, 0, 2],
                         [-8, -4, 3, 0, 5, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '5-18*x-10*x^2+ 44*x^3+ 18*x^4-38*x^5-22*x^6+ 10*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 51): {'jones': [-8, 2, -1, 2, -5, 8, -10, 12, -10, 9, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [0, 6, -1, 0, -1, 0, 4, 0, 3],
                         [-1, 9, 1, 0, 0, 0, -5, 0, -9, 0, -3, 0, 2],
                         [0, 8, 3, 0, 4, 0, -8, 0, -8, 0, 1],
                         [-1, 9, -2, 0, 0, 0, 15, 0, 21, 0, 5, 0, -3],
                         [0, 8, -6, 0, -6, 0, 13, 0, 9, 0, -4],
                         [-1, 9, 1, 0, -6, 0, -16, 0, -16, 0, -6, 0, 1],
                         [0, 8, 3, 0, -1, 0, -12, 0, -6, 0, 2],
                         [1, 7, 4, 0, 6, 0, 5, 0, 3],
                         [2, 6, 3, 0, 6, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '5-14*x-8*x^2+ 36*x^3+ 6*x^4-42*x^5-14*x^6+ 18*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 52): {'jones': [-4, 6, -1, 2, -4, 7, -8, 10, -9, 8, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [-4, 2, -1, 0, 0, 0, 4, 0, 2],
                         [-5, 3, 2, 0, 0, 0, -7, 0, -9, 0, -4],
                         [-4, 2, 6, 0, 4, 0, -9, 0, -7],
                         [-7, 3, 1, 0, -5, 0, 2, 0, 24, 0, 24, 0, 8],
                         [-6, 2, 3, 0, -12, 0, -9, 0, 19, 0, 13],
                         [-5, 3, 6, 0, -11, 0, -28, 0, -16, 0, -5],
                         [-4, 2, 8, 0, -3, 0, -20, 0, -9],
                         [-3, 3, 7, 0, 7, 0, 1, 0, 1],
                         [-2, 2, 4, 0, 6, 0, 2],
                         [-1, 1, 1, 0, 1]],
            'q': '5-18*x-6*x^2+ 54*x^3+ 14*x^4-54*x^5-24*x^6+ 16*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 53): {'jones': [2, 12, 1, -3, 7, -9, 12, -12, 11, -9, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-12, -6, 1, 0, 3, 0, 0, 0, -3],
                         [-13, -7, -3, 0, -11, 0, -7, 0, 1],
                         [-14, -4, 2, 0, 2, 0, -5, 0, 4, 0, 8, 0, -1],
                         [-13, -5, 10, 0, 28, 0, 21, 0, 1, 0, -2],
                         [-14, -4, -3, 0, 0, 0, 6, 0, -7, 0, -9, 0, 1],
                         [-13, -5, -10, 0, -27, 0, -26, 0, -6, 0, 3],
                         [-14, -6, 1, 0, -6, 0, -13, 0, 0, 0, 6],
                         [-13, -7, 3, 0, 7, 0, 10, 0, 6],
                         [-12, -8, 3, 0, 7, 0, 4],
                         [-11, -9, 1, 0, 1]],
            'q': '1-20*x+ 10*x^2+ 58*x^3-12*x^4-66*x^5-12*x^6+ 26*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 54): {'jones': [-6, 4, -1, 2, -4, 6, -7, 8, -6, 6, -4, 2, -1],
            'kauffman': [0,
                         9,
                         [-2, 4, 2, 0, 3, 0, -2, 0, -2],
                         [-3, 7, -4, 0, -8, 0, -5, 0, 1, 0, 1, 0, -1],
                         [-2, 6, -6, 0, -7, 0, 5, 0, 5, 0, -1],
                         [-3, 7, 8, 0, 20, 0, 17, 0, 2, 0, -2, 0, 1],
                         [-2, 6, 12, 0, 17, 0, -3, 0, -6, 0, 2],
                         [-3, 5, -5, 0, -13, 0, -18, 0, -7, 0, 3],
                         [-2, 4, -9, 0, -18, 0, -5, 0, 4],
                         [-3, 3, 1, 0, 0, 0, 3, 0, 4],
                         [-2, 2, 2, 0, 5, 0, 3],
                         [-1, 1, 1, 0, 1]],
            'q': '1-16*x-4*x^2+ 46*x^3+ 22*x^4-40*x^5-28*x^6+ 8*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 55): {'jones': [2, 12, 1, -2, 5, -7, 10, -10, 9, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-12, -4, 1, 0, 3, 0, 1, 0, -1, 0, 1],
                         [-13, -7, -3, 0, -9, 0, -4, 0, 2],
                         [-14, -4, 2, 0, 1, 0, -8, 0, -3, 0, 2, 0, -2],
                         [-13, -5, 9, 0, 24, 0, 15, 0, -2, 0, -2],
                         [-14, -4, -3, 0, 1, 0, 13, 0, 5, 0, -3, 0, 1],
                         [-13, -5, -10, 0, -23, 0, -16, 0, -1, 0, 2],
                         [-14, -6, 1, 0, -7, 0, -15, 0, -4, 0, 3],
                         [-13, -7, 3, 0, 5, 0, 5, 0, 3],
                         [-12, -8, 3, 0, 6, 0, 3],
                         [-11, -9, 1, 0, 1]],
            'q': '5-14*x-8*x^2+ 44*x^3+ 14*x^4-48*x^5-22*x^6+ 16*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 56): {'jones': [0, 10, 1, -2, 5, -7, 10, -11, 10, -9, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 1, 0, 2, 0, 0, 0, -2],
                         [-9, -5, -4, 0, -8, 0, -4],
                         [-12, -2, -1, 0, 2, 0, -2, 0, -7, 0, 3, 0, 5],
                         [-11, -3, -3, 0, 11, 0, 21, 0, 11, 0, 4],
                         [-12, -2, 1, 0, -6, 0, 4, 0, 12, 0, -3, 0, -4],
                         [-11, -3, 3, 0, -11, 0, -21, 0, -13, 0, -6],
                         [-10, -2, 5, 0, -5, 0, -14, 0, -3, 0, 1],
                         [-9, -3, 6, 0, 7, 0, 3, 0, 2],
                         [-8, -4, 4, 0, 6, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '1-16*x+ 44*x^3+ 4*x^4-48*x^5-16*x^6+ 18*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 57): {'jones': [-8, 2, -1, 3, -7, 10, -12, 14, -12, 10, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [0, 6, -1, 0, -2, 0, 2, 0, 2],
                         [-1, 9, 1, 0, 1, 0, -2, 0, -6, 0, -3, 0, 1],
                         [0, 8, 4, 0, 8, 0, 0, 0, -2, 0, 2],
                         [-1, 9, -2, 0, 0, 0, 12, 0, 18, 0, 6, 0, -2],
                         [0, 8, -6, 0, -11, 0, -1, 0, -1, 0, -5],
                         [-1, 9, 1, 0, -5, 0, -19, 0, -23, 0, -9, 0, 1],
                         [0, 8, 3, 0, 2, 0, -7, 0, -3, 0, 3],
                         [1, 7, 4, 0, 9, 0, 10, 0, 5],
                         [2, 6, 3, 0, 7, 0, 4],
                         [3, 5, 1, 0, 1]],
            'q': '1-8*x+ 12*x^2+ 32*x^3-24*x^4-54*x^5-2*x^6+ 28*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 58): {'jones': [-4, 6, 1, -2, 5, -8, 10, -11, 10, -8, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, 4, -1, 0, -2, 0, -3, 0, -2, 0, 0, 0, 1],
                         [-5, 1, -2, 0, -4, 0, -6, 0, -4],
                         [-6, 4, 3, 0, 7, 0, 10, 0, 8, 0, 0, 0, -2],
                         [-5, 3, 7, 0, 18, 0, 21, 0, 8, 0, -2],
                         [-6, 4, -3, 0, -5, 0, -4, 0, -5, 0, -2, 0, 1],
                         [-5, 3, -9, 0, -23, 0, -22, 0, -6, 0, 2],
                         [-6, 2, 1, 0, -5, 0, -10, 0, -1, 0, 3],
                         [-5, 1, 3, 0, 6, 0, 7, 0, 4],
                         [-4, 0, 3, 0, 6, 0, 3],
                         [-3, -1, 1, 0, 1]],
            'q': '-7-16*x+ 26*x^2+ 52*x^3-18*x^4-58*x^5-12*x^6+ 20*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 59): {'jones': [-3, 7, 1, -3, 6, -9, 12, -12, 12, -10, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-6, 2, -1, 0, -3, 0, -4, 0, -2, 0, -1],
                         [-7, 1, 1, 0, 0, 0, -4, 0, -5, 0, -2],
                         [-8, 2, -1, 0, 3, 0, 10, 0, 11, 0, 8, 0, 3],
                         [-7, 1, -3, 0, 4, 0, 20, 0, 21, 0, 8],
                         [-8, 2, 1, 0, -5, 0, -11, 0, -8, 0, -6, 0, -3],
                         [-7, 1, 3, 0, -7, 0, -28, 0, -27, 0, -9],
                         [-6, 2, 5, 0, 1, 0, -9, 0, -4, 0, 1],
                         [-5, 1, 6, 0, 11, 0, 8, 0, 3],
                         [-4, 0, 4, 0, 7, 0, 3],
                         [-3, -1, 1, 0, 1]],
            'q': '-11-10*x+ 34*x^2+ 50*x^3-32*x^4-68*x^5-6*x^6+ 28*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 60): {'jones': [-6, 4, 1, -3, 6, -10, 13, -14, 14, -11, 8, -4, 1],
            'kauffman': [0,
                         9,
                         [-2, 6, -1, 0, -2, 0, -4, 0, -3, 0, -1],
                         [-1, 5, -2, 0, -6, 0, -7, 0, -3],
                         [-2, 6, 4, 0, 14, 0, 18, 0, 11, 0, 3],
                         [-3, 5, -2, 0, 5, 0, 25, 0, 27, 0, 9],
                         [-4, 6, 1, 0, -9, 0, -22, 0, -17, 0, -8, 0, -3],
                         [-3, 5, 4, 0, -11, 0, -38, 0, -32, 0, -9],
                         [-2, 6, 8, 0, 5, 0, -7, 0, -3, 0, 1],
                         [-1, 5, 9, 0, 16, 0, 10, 0, 3],
                         [0, 4, 5, 0, 8, 0, 3],
                         [1, 3, 1, 0, 1]],
            'q': '-11-18*x+ 50*x^2+ 64*x^3-58*x^4-86*x^5+ 4*x^6+ 38*x^7+ 16*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 61): {'jones': [-2, 8, 1, -1, 3, -4, 4, -5, 5, -4, 3, -2, 1],
            'kauffman': [0,
                         9,
                         [-6, 0, -1, 0, 1, 0, 5, 0, 4],
                         [-5, -1, -6, 0, -8, 0, -2],
                         [-10, 0, 1, 0, -2, 0, 6, 0, 1, 0, -24, 0, -16],
                         [-9, -1, 2, 0, -6, 0, 17, 0, 26, 0, 1],
                         [-8, 0, 3, 0, -13, 0, 5, 0, 38, 0, 17],
                         [-7, -1, 4, 0, -18, 0, -16, 0, 6],
                         [-6, 0, 5, 0, -10, 0, -22, 0, -7],
                         [-5, -1, 5, 0, 0, 0, -5],
                         [-4, 0, 3, 0, 4, 0, 1],
                         [-3, -1, 1, 0, 1]],
            'q': '9-16*x-34*x^2+ 40*x^3+ 50*x^4-24*x^5-34*x^6+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 62): {'jones': [-9, 1, -1, 2, -4, 6, -7, 7, -6, 6, -3, 2, -1],
            'kauffman': [0,
                         9,
                         [2, 6, 2, 0, 7, 0, 4],
                         [1, 11, -2, 0, -5, 0, -6, 0, -1, 0, 1, 0, -1],
                         [2, 10, -10, 0, -23, 0, -8, 0, 4, 0, -1],
                         [1, 11, 7, 0, 15, 0, 16, 0, 5, 0, -2, 0, 1],
                         [2, 10, 16, 0, 30, 0, 6, 0, -6, 0, 2],
                         [1, 9, -5, 0, -9, 0, -15, 0, -8, 0, 3],
                         [2, 8, -10, 0, -21, 0, -7, 0, 4],
                         [1, 7, 1, 0, -1, 0, 2, 0, 4],
                         [2, 6, 2, 0, 5, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '13-14*x-38*x^2+ 42*x^3+ 48*x^4-34*x^5-34*x^6+ 6*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 63): {'jones': [2, 12, 1, -2, 5, -7, 9, -9, 9, -7, 4, -3, 1],
            'kauffman': [0,
                         9,
                         [-12, -4, 1, 0, 4, 0, 3, 0, 0, 0, 1],
                         [-13, -9, -2, 0, -10, 0, -8],
                         [-14, -4, 1, 0, -2, 0, -16, 0, -10, 0, 1, 0, -2],
                         [-13, -5, 10, 0, 28, 0, 20, 0, 0, 0, -2],
                         [-14, -4, -3, 0, 6, 0, 24, 0, 11, 0, -3, 0, 1],
                         [-13, -5, -11, 0, -23, 0, -16, 0, -2, 0, 2],
                         [-14, -6, 1, 0, -9, 0, -19, 0, -6, 0, 3],
                         [-13, -7, 3, 0, 4, 0, 4, 0, 3],
                         [-12, -8, 3, 0, 6, 0, 3],
                         [-11, -9, 1, 0, 1]],
            'q': '9-20*x-28*x^2+ 56*x^3+ 36*x^4-50*x^5-30*x^6+ 14*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 64): {'jones': [-3, 7, 1, -2, 4, -6, 8, -8, 8, -7, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-4, 0, 3, 0, 6, 0, 4],
                         [-5, 1, -4, 0, -6, 0, -3, 0, -1],
                         [-8, 2, -2, 0, 3, 0, -8, 0, -26, 0, -9, 0, 4],
                         [-7, 1, -3, 0, 15, 0, 16, 0, 4, 0, 6],
                         [-8, 2, 1, 0, -5, 0, 13, 0, 30, 0, 7, 0, -4],
                         [-7, 1, 2, 0, -11, 0, -11, 0, -5, 0, -7],
                         [-6, 2, 3, 0, -8, 0, -18, 0, -6, 0, 1],
                         [-5, 1, 4, 0, 2, 0, 0, 0, 2],
                         [-4, 0, 3, 0, 5, 0, 2],
                         [-3, -1, 1, 0, 1]],
            'q': '13-14*x-38*x^2+ 38*x^3+ 42*x^4-32*x^5-28*x^6+ 8*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 65): {'jones': [-8, 2, -1, 2, -5, 8, -9, 11, -10, 8, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [2, 6, 1, 0, 5, 0, 3],
                         [1, 9, -2, 0, -6, 0, -8, 0, -2, 0, 2],
                         [0, 8, 3, 0, -1, 0, -17, 0, -12, 0, 1],
                         [-1, 9, -2, 0, 6, 0, 20, 0, 19, 0, 4, 0, -3],
                         [0, 8, -7, 0, 1, 0, 24, 0, 12, 0, -4],
                         [-1, 9, 1, 0, -9, 0, -17, 0, -14, 0, -6, 0, 1],
                         [0, 8, 3, 0, -4, 0, -16, 0, -7, 0, 2],
                         [1, 7, 4, 0, 5, 0, 4, 0, 3],
                         [2, 6, 3, 0, 6, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '9-16*x-26*x^2+ 44*x^3+ 26*x^4-44*x^5-22*x^6+ 16*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 66): {'jones': [3, 13, 1, -2, 6, -8, 11, -13, 12, -10, 7, -4, 1],
            'kauffman': [0,
                         9,
                         [-12, -6, 1, 0, 4, 0, 2, 0, -2],
                         [-11, -7, -6, 0, -5, 0, 1],
                         [-14, -6, 2, 0, 5, 0, -8, 0, -6, 0, 5],
                         [-15, -7, -3, 0, 1, 0, 22, 0, 20, 0, 2],
                         [-16, -6, 1, 0, -8, 0, -13, 0, 8, 0, 8, 0, -4],
                         [-15, -7, 4, 0, -7, 0, -28, 0, -22, 0, -5],
                         [-14, -6, 7, 0, 3, 0, -13, 0, -8, 0, 1],
                         [-13, -7, 7, 0, 11, 0, 6, 0, 2],
                         [-12, -8, 4, 0, 7, 0, 3],
                         [-11, -9, 1, 0, 1]],
            'q': '5-10*x-2*x^2+ 42*x^3-8*x^4-58*x^5-10*x^6+ 26*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 67): {'jones': [-1, 9, 1, -2, 5, -8, 10, -10, 10, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [0, 0, 1],
                         [-9, -3, -2, 0, -6, 0, -6, 0, -2],
                         [-10, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, -2],
                         [-9, -1, 9, 0, 19, 0, 19, 0, 7, 0, -2],
                         [-10, 0, -3, 0, 2, 0, 7, 0, -1, 0, -2, 0, 1],
                         [-9, -1, -10, 0, -21, 0, -19, 0, -6, 0, 2],
                         [-10, -2, 1, 0, -7, 0, -13, 0, -2, 0, 3],
                         [-9, -3, 3, 0, 5, 0, 6, 0, 4],
                         [-8, -4, 3, 0, 6, 0, 3],
                         [-7, -5, 1, 0, 1]],
            'q': '1-16*x+ 52*x^3+ 4*x^4-54*x^5-18*x^6+ 18*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'chiral'},
 (10, 68): {'jones': [-7, 3, -1, 2, -4, 7, -8, 9, -9, 8, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [2, 6, -1, 0, 1, 0, 1],
                         [1, 7, -2, 0, -6, 0, -8, 0, -4],
                         [-2, 6, -1, 0, 4, 0, 7, 0, -5, 0, -7],
                         [-3, 7, 1, 0, -3, 0, 8, 0, 27, 0, 23, 0, 8],
                         [-2, 6, 3, 0, -10, 0, -9, 0, 17, 0, 13],
                         [-1, 7, 5, 0, -14, 0, -30, 0, -16, 0, -5],
                         [0, 6, 7, 0, -4, 0, -20, 0, -9],
                         [1, 7, 7, 0, 7, 0, 1, 0, 1],
                         [2, 6, 4, 0, 6, 0, 2],
                         [3, 5, 1, 0, 1]],
            'q': '1-20*x-2*x^2+ 64*x^3+ 14*x^4-60*x^5-26*x^6+ 16*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 69): {'jones': [-8, 2, -1, 3, -7, 11, -13, 15, -14, 11, -7, 4, -1],
            'kauffman': [0,
                         9,
                         [2, 8, -2, 0, -2, 0, -2, 0, -1],
                         [1, 9, -1, 0, -4, 0, -6, 0, -2, 0, 1],
                         [0, 8, 3, 0, 11, 0, 12, 0, 7, 0, 3],
                         [-1, 9, -1, 0, 5, 0, 22, 0, 23, 0, 5, 0, -2],
                         [0, 8, -7, 0, -17, 0, -14, 0, -9, 0, -5],
                         [-1, 9, 1, 0, -10, 0, -32, 0, -30, 0, -8, 0, 1],
                         [0, 8, 4, 0, 3, 0, -4, 0, 0, 0, 3],
                         [1, 7, 6, 0, 14, 0, 13, 0, 5],
                         [2, 6, 4, 0, 8, 0, 4],
                         [3, 5, 1, 0, 1]],
            'q': '-7-12*x+ 36*x^2+ 52*x^3-52*x^4-78*x^5+ 6*x^6+ 38*x^7+ 16*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 70): {'jones': [-7, 3, 1, -3, 6, -9, 11, -11, 10, -8, 5, -2, 1],
            'kauffman': [0,
                         9,
                         [-2, 6, -2, 0, -3, 0, -3, 0, -2, 0, -1],
                         [-1, 7, -1, 0, 0, 0, 1, 0, 1, 0, 1],
                         [-2, 8, 5, 0, 10, 0, 9, 0, 9, 0, 4, 0, -1],
                         [-1, 7, 5, 0, 4, 0, 2, 0, 0, 0, -3],
                         [-2, 8, -4, 0, -7, 0, -8, 0, -12, 0, -6, 0, 1],
                         [-1, 7, -6, 0, -10, 0, -11, 0, -4, 0, 3],
                         [-2, 6, 1, 0, -2, 0, -5, 0, 3, 0, 5],
                         [-1, 5, 2, 0, 3, 0, 6, 0, 5],
                         [0, 4, 2, 0, 5, 0, 3],
                         [1, 3, 1, 0, 1]],
            'q': '-11+ 2*x+ 36*x^2+ 8*x^3-36*x^4-28*x^5+ 2*x^6+ 16*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 71): {'jones': [-5, 5, -1, 3, -6, 10, -12, 13, -12, 10, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [-4, 4, -1, 0, -3, 0, -3, 0, -3, 0, -1],
                         [-5, 5, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1],
                         [-4, 4, 4, 0, 10, 0, 12, 0, 10, 0, 4],
                         [-5, 5, -2, 0, 0, 0, 7, 0, 7, 0, 0, 0, -2],
                         [-4, 4, -6, 0, -12, 0, -12, 0, -12, 0, -6],
                         [-5, 5, 1, 0, -5, 0, -15, 0, -15, 0, -5, 0, 1],
                         [-4, 4, 3, 0, 2, 0, -2, 0, 2, 0, 3],
                         [-3, 3, 4, 0, 8, 0, 8, 0, 4],
                         [-2, 2, 3, 0, 6, 0, 3],
                         [-1, 1, 1, 0, 1]],
            'q': '-11+ 2*x+ 40*x^2+ 10*x^3-48*x^4-38*x^5+ 8*x^6+ 24*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 72): {'jones': [0, 10, 1, -2, 5, -8, 11, -12, 12, -10, 7, -4, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, -1, 0, -2, 0, -2, 0, -2],
                         [-9, -3, 1, 0, -1, 0, -3, 0, -1],
                         [-10, -2, 2, 0, 6, 0, 7, 0, 8, 0, 5],
                         [-11, -3, -3, 0, 0, 0, 9, 0, 11, 0, 5],
                         [-12, -2, 1, 0, -8, 0, -11, 0, -4, 0, -6, 0, -4],
                         [-11, -3, 4, 0, -7, 0, -19, 0, -14, 0, -6],
                         [-10, -2, 7, 0, 2, 0, -8, 0, -2, 0, 1],
                         [-9, -3, 7, 0, 9, 0, 4, 0, 2],
                         [-8, -4, 4, 0, 6, 0, 2],
                         [-7, -5, 1, 0, 1]],
            'q': '-7-4*x+ 28*x^2+ 22*x^3-32*x^4-42*x^5+ 22*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 73): {'jones': [-8, 2, -1, 3, -6, 10, -13, 14, -13, 11, -7, 4, -1],
            'kauffman': [0,
                         9,
                         [2, 8, -3, 0, -4, 0, -3, 0, -1],
                         [1, 9, -1, 0, -3, 0, -3, 0, 0, 0, 1],
                         [0, 8, 3, 0, 12, 0, 17, 0, 12, 0, 4],
                         [-1, 9, -1, 0, 4, 0, 16, 0, 14, 0, 1, 0, -2],
                         [0, 8, -7, 0, -16, 0, -17, 0, -14, 0, -6],
                         [-1, 9, 1, 0, -10, 0, -26, 0, -21, 0, -5, 0, 1],
                         [0, 8, 4, 0, 2, 0, -2, 0, 3, 0, 3],
                         [1, 7, 6, 0, 12, 0, 10, 0, 4],
                         [2, 6, 4, 0, 7, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '-11-6*x+ 48*x^2+ 32*x^3-60*x^4-60*x^5+ 10*x^6+ 32*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 74): {'jones': [-1, 9, 1, -3, 6, -8, 11, -10, 9, -8, 4, -2, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 1, 0, 2, 0, 0, 0, -2],
                         [-9, -5, -4, 0, -8, 0, -4],
                         [-10, 0, 4, 0, 1, 0, -1, 0, 8, 0, 5, 0, -1],
                         [-9, -1, 8, 0, 11, 0, 9, 0, 3, 0, -3],
                         [-10, 0, -4, 0, 0, 0, 3, 0, -9, 0, -7, 0, 1],
                         [-9, -1, -7, 0, -10, 0, -12, 0, -6, 0, 3],
                         [-10, -2, 1, 0, -4, 0, -9, 0, 1, 0, 5],
                         [-9, -3, 2, 0, 2, 0, 5, 0, 5],
                         [-8, -4, 2, 0, 5, 0, 3],
                         [-7, -5, 1, 0, 1]],
            'q': '1-16*x+ 16*x^2+ 28*x^3-16*x^4-32*x^5-6*x^6+ 14*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 75): {'jones': [-6, 4, 1, -3, 6, -10, 12, -13, 14, -10, 7, -4, 1],
            'kauffman': [0,
                         9,
                         [2, 6, -3, 0, -3, 0, -1],
                         [-1, 5, -1, 0, -5, 0, -7, 0, -3],
                         [-2, 6, 4, 0, 15, 0, 20, 0, 12, 0, 3],
                         [-3, 5, -3, 0, -1, 0, 17, 0, 24, 0, 9],
                         [-4, 6, 1, 0, -8, 0, -24, 0, -21, 0, -9, 0, -3],
                         [-3, 5, 4, 0, -5, 0, -29, 0, -29, 0, -9],
                         [-2, 6, 7, 0, 7, 0, -4, 0, -3, 0, 1],
                         [-1, 5, 7, 0, 13, 0, 9, 0, 3],
                         [0, 4, 4, 0, 7, 0, 3],
                         [1, 3, 1, 0, 1]],
            'q': '-7-16*x+ 54*x^2+ 46*x^3-64*x^4-68*x^5+ 8*x^6+ 32*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 76): {'jones': [0, 10, 1, -1, 4, -6, 8, -10, 9, -8, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 1, 0, 0, 0, -4, 0, -4],
                         [-9, -3, -2, 0, 2, 0, 8, 0, 4],
                         [-12, -2, -1, 0, 3, 0, -4, 0, -7, 0, 9, 0, 8],
                         [-11, -3, -3, 0, 7, 0, -3, 0, -15, 0, -2],
                         [-12, -2, 1, 0, -7, 0, 4, 0, 10, 0, -7, 0, -5],
                         [-11, -3, 3, 0, -8, 0, -2, 0, 7, 0, -2],
                         [-10, -2, 5, 0, -3, 0, -9, 0, 0, 0, 1],
                         [-9, -3, 5, 0, 2, 0, -2, 0, 1],
                         [-8, -4, 3, 0, 4, 0, 1],
                         [-7, -5, 1, 0, 1]],
            'q': '-7+ 12*x+ 8*x^2-16*x^3-4*x^4-2*x^5-6*x^6+ 6*x^7+ 8*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 77): {'jones': [-8, 2, -1, 3, -6, 8, -10, 11, -9, 8, -4, 2, -1],
            'kauffman': [0,
                         9,
                         [0, 6, -2, 0, -5, 0, -1, 0, 1],
                         [-1, 9, 2, 0, 4, 0, 3, 0, -1, 0, -1, 0, 1],
                         [0, 8, 4, 0, 7, 0, -1, 0, -2, 0, 2],
                         [-1, 9, -3, 0, -5, 0, 0, 0, 6, 0, 2, 0, -2],
                         [0, 8, -5, 0, -3, 0, 8, 0, 0, 0, -6],
                         [-1, 9, 1, 0, -1, 0, -3, 0, -9, 0, -7, 0, 1],
                         [0, 8, 2, 0, -1, 0, -9, 0, -3, 0, 3],
                         [1, 7, 2, 0, 2, 0, 4, 0, 4],
                         [2, 6, 2, 0, 5, 0, 3],
                         [3, 5, 1, 0, 1]],
            'q': '-7+ 8*x+ 10*x^2-2*x^3-6*x^4-18*x^5-8*x^6+ 12*x^7+ 10*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 78): {'jones': [0, 10, 1, -3, 6, -8, 11, -11, 11, -9, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [-10, -2, -1, 0, -4, 0, -4, 0, -1, 0, -1],
                         [-11, -3, 2, 0, 6, 0, 2, 0, -3, 0, -1],
                         [-12, -2, -1, 0, 1, 0, 10, 0, 11, 0, 6, 0, 3],
                         [-11, -3, -4, 0, -7, 0, 5, 0, 15, 0, 7],
                         [-12, -2, 1, 0, -3, 0, -10, 0, -7, 0, -4, 0, -3],
                         [-11, -3, 3, 0, 0, 0, -15, 0, -21, 0, -9],
                         [-10, -2, 4, 0, 2, 0, -8, 0, -5, 0, 1],
                         [-9, -3, 4, 0, 7, 0, 6, 0, 3],
                         [-8, -4, 3, 0, 6, 0, 3],
                         [-7, -5, 1, 0, 1]],
            'q': '-11+ 6*x+ 30*x^2+ 16*x^3-26*x^4-42*x^5-6*x^6+ 20*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'reversible'},
 (10, 79): {'jones': [-5, 5, -1, 2, -5, 8, -9, 11, -9, 8, -5, 2, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, 5, 0, 11, 0, 5],
                         [-5, 5, 2, 0, -2, 0, -11, 0, -11, 0, -2, 0, 2],
                         [-4, 4, 1, 0, -13, 0, -28, 0, -13, 0, 1],
                         [-5, 5, -3, 0, 4, 0, 22, 0, 22, 0, 4, 0, -3],
                         [-4, 4, -4, 0, 12, 0, 32, 0, 12, 0, -4],
                         [-5, 5, 1, 0, -6, 0, -15, 0, -15, 0, -6, 0, 1],
                         [-4, 4, 2, 0, -7, 0, -18, 0, -7, 0, 2],
                         [-3, 3, 3, 0, 4, 0, 4, 0, 3],
                         [-2, 2, 3, 0, 6, 0, 3],
                         [-1, 1, 1, 0, 1]],
            'q': '21-22*x-52*x^2+ 46*x^3+ 48*x^4-40*x^5-28*x^6+ 14*x^7+ 12*x^8+ 2*x^9',
            'symmetry': 'negative amphicheiral'},
 (10, 80): {'jones': [3, 13, 1, -2, 6, -8, 11, -12, 11, -10, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-12, -6, 2, 0, 6, 0, 3, 0, -2],
                         [-15, -7, 1, 0, -2, 0, -12, 0, -8, 0, 1],
                         [-16, -6, -1, 0, 2, 0, 2, 0, -13, 0, -7, 0, 5],
                         [-15, -7, -3, 0, 6, 0, 29, 0, 22, 0, 2],
                         [-16, -6, 1, 0, -5, 0, -5, 0, 13, 0, 8, 0, -4],
                         [-15, -7, 3, 0, -8, 0, -29, 0, -23, 0, -5],
                         [-14, -6, 5, 0, -1, 0, -15, 0, -8, 0, 1],
                         [-13, -7, 6, 0, 10, 0, 6, 0, 2],
                         [-12, -8, 4, 0, 7, 0, 3],
                         [-11, -9, 1, 0, 1]],
            'q': '9-20*x-12*x^2+ 56*x^3+ 8*x^4-62*x^5-18*x^6+ 24*x^7+ 14*x^8+ 2*x^9',
            'symmetry': 'chiral'},
 (10, 81): {'jones': [-5, 5, -1, 3, -7, 11, -13, 15, -13, 11, -7, 3, -1],
            'kauffman': [0,
                         9,
                         [-4, 4, -1, 0, -1, 0, 1, 0, -1, 0, -1],
                         [-5, 5, 1, 0, -2, 0, -8, 0, -8, 0, -2, 0, 1],
                         [-4, 4, 3, 0, 6, 0, 6, 0, 6, 0, 3],
                         [-5, 5, -2, 0, 5, 0, 25, 0, 25, 0, 5, 0, -2],
                         [-4, 4, -5, 0, -9, 0, -8, 0, -9, 0, -5],
                         [-5, 5, 1, 0, -8, 0, -31, 0, -31, 0, -8, 0, 1],
                         [-4, 4, 3, 0, 0, 0, -6, 0, 0, 0, 3],
                         [-3, 3, 5, 0, 13, 0, 13, 0, 5],
                         [-2, 2, 4, 0, 8, 0, 4],
                         [-1, 1, 1, 0, 1]],
            'q': '-3-18*x+ 24*x^2+ 56*x^3-36*x^4-76*x^5+ 36*x^7+ 16*x^8+ 2*x^9',
            'symmetry': 'negative amphicheiral '},
 (10, 82): {'jones': [-3, 7, 1, -3, 5, -7, 10, -10, 10, -8, 5, -3, 1],
            'kauffman': [0,
                         9,
                         [0, 0, 1],
                         [-7, 1, 1, 0, 2, 0, 0, 0, -2, 0, -1],
                         [-8, 2, -1, 0, 0, 0, -5, 0, -13, 0, -6, 0, 1],
                         [-7, 1, -4, 0, -2, 0, 5, 0, 10, 0, 7],
                         [-8, 2, 1, 0, -4, 0, 10, 0, 32, 0, 14, 0, -3],
                         [-7, 1, 3, 0, -3, 0, -4, 0, -8, 0, -10],
                         [-6, 2, 4, 0, -8, 0, -27, 0, -14, 0, 1],
                         [-5, 1, 4, 0, -1, 0, -2, 0, 3],
                         [-4, 0, 4, 0, 8, 0, 4],
                         [-3, -1, 2, 0, 2]],
            'q': '1-24*x^2+ 16*x^3+ 50*x^4-22*x^5-44*x^6+ 4*x^7+ 16*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 83): {'jones': [-8, 2, -1, 3, -6, 10, -13, 14, -13, 11, -7, 4, -1],
            'kauffman': [0,
                         9,
                         [0, 6, 1, 0, 1, 0, 2, 0, 1],
                         [1, 7, -1, 0, -4, 0, -6, 0, -3],
                         [0, 8, 2, 0, -2, 0, -10, 0, -4, 0, 2],
                         [-1, 9, -1, 0, 3, 0, 13, 0, 20, 0, 9, 0, -2],
                         [0, 8, -7, 0, -1, 0, 22, 0, 10, 0, -6],
                         [-1, 9, 1, 0, -10, 0, -17, 0, -18, 0, -11, 0, 1],
                         [0, 8, 4, 0, -5, 0, -22, 0, -10, 0, 3],
                         [1, 7, 6, 0, 6, 0, 5, 0, 5],
                         [2, 6, 5, 0, 10, 0, 5],
                         [3, 5, 2, 0, 2]],
            'q': '5-14*x-12*x^2+ 42*x^3+ 18*x^4-54*x^5-30*x^6+ 22*x^7+ 20*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 84): {'jones': [-2, 8, -1, 3, -6, 11, -13, 15, -14, 11, -8, 4, -1],
            'kauffman': [0,
                         9,
                         [-4, 0, -2, 0, -4, 0, -1],
                         [-7, 1, -1, 0, 0, 0, 2, 0, 2, 0, 1],
                         [-8, 0, 1, 0, -1, 0, 1, 0, 7, 0, 4],
                         [-9, 1, -1, 0, 6, 0, 11, 0, 4, 0, -2, 0, -2],
                         [-8, 0, -6, 0, 2, 0, 9, 0, -5, 0, -6],
                         [-9, 1, 1, 0, -13, 0, -20, 0, -11, 0, -4, 0, 1],
                         [-8, 0, 4, 0, -8, 0, -17, 0, -2, 0, 3],
                         [-7, -1, 7, 0, 8, 0, 5, 0, 4],
                         [-6, -2, 6, 0, 10, 0, 4],
                         [-5, -3, 2, 0, 2]],
            'q': '-7+ 4*x+ 12*x^2+ 16*x^3-6*x^4-46*x^5-20*x^6+ 24*x^7+ 20*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 85): {'jones': [-9, 1, -1, 3, -5, 7, -9, 9, -8, 7, -4, 3, -1],
            'kauffman': [0,
                         9,
                         [2, 6, -1, 0, 1, 0, 1],
                         [1, 9, -1, 0, -2, 0, -2, 0, 0, 0, 1],
                         [2, 10, -7, 0, -14, 0, -5, 0, 1, 0, -1],
                         [1, 11, 4, 0, 11, 0, 14, 0, 2, 0, -4, 0, 1],
                         [2, 10, 19, 0, 37, 0, 8, 0, -7, 0, 3],
                         [1, 9, -4, 0, -4, 0, -15, 0, -10, 0, 5],
                         [2, 8, -14, 0, -32, 0, -12, 0, 6],
                         [1, 7, 1, 0, -5, 0, 0, 0, 6],
                         [2, 6, 3, 0, 8, 0, 5],
                         [3, 5, 2, 0, 2]],
            'q': '1-4*x-26*x^2+ 28*x^3+ 60*x^4-28*x^5-52*x^6+ 2*x^7+ 16*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 86): {'jones': [-4, 6, 1, -4, 8, -11, 14, -14, 13, -10, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-4, 0, 1, 0, 2, 0, 2],
                         [-5, 1, -2, 0, -4, 0, -3, 0, -1],
                         [-6, 2, 2, 0, -2, 0, -6, 0, 1, 0, 3],
                         [-5, 3, 8, 0, 15, 0, 13, 0, 4, 0, -2],
                         [-6, 4, -3, 0, 7, 0, 13, 0, -7, 0, -9, 0, 1],
                         [-5, 3, -9, 0, -17, 0, -23, 0, -11, 0, 4],
                         [-6, 2, 1, 0, -10, 0, -21, 0, -2, 0, 8],
                         [-5, 1, 3, 0, 3, 0, 9, 0, 9],
                         [-4, 0, 4, 0, 10, 0, 6],
                         [-3, -1, 2, 0, 2]],
            'q': '5-10*x-2*x^2+ 38*x^3+ 2*x^4-56*x^5-24*x^6+ 24*x^7+ 20*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 87): {'jones': [-4, 6, 1, -3, 6, -10, 13, -13, 13, -10, 7, -4, 1],
            'kauffman': [0,
                         9,
                         [-4, 2, -1, 0, -3, 0, -2, 0, -1],
                         [-3, 3, -1, 0, -1, 0, 1, 0, 1],
                         [-6, 4, 1, 0, 1, 0, 3, 0, 7, 0, 3, 0, -1],
                         [-5, 3, 7, 0, 15, 0, 13, 0, 2, 0, -3],
                         [-6, 4, -2, 0, 5, 0, 8, 0, -5, 0, -5, 0, 1],
                         [-5, 3, -11, 0, -23, 0, -21, 0, -6, 0, 3],
                         [-6, 2, 1, 0, -12, 0, -21, 0, -3, 0, 5],
                         [-5, 1, 4, 0, 5, 0, 7, 0, 6],
                         [-4, 0, 5, 0, 10, 0, 5],
                         [-3, -1, 2, 0, 2]],
            'q': '-7+ 14*x^2+ 34*x^3+ 2*x^4-58*x^5-30*x^6+ 22*x^7+ 20*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 88): {'jones': [-5, 5, -1, 4, -8, 13, -16, 17, -16, 13, -8, 4, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, -1, 0, -1, 0, -1],
                         [-3, 3, -1, 0, -4, 0, -4, 0, -1],
                         [-4, 4, 3, 0, 7, 0, 8, 0, 7, 0, 3],
                         [-5, 5, -1, 0, 6, 0, 19, 0, 19, 0, 6, 0, -1],
                         [-4, 4, -6, 0, -10, 0, -8, 0, -10, 0, -6],
                         [-5, 5, 1, 0, -11, 0, -32, 0, -32, 0, -11, 0, 1],
                         [-4, 4, 4, 0, -2, 0, -12, 0, -2, 0, 4],
                         [-3, 3, 7, 0, 14, 0, 14, 0, 7],
                         [-2, 2, 6, 0, 12, 0, 6],
                         [-1, 1, 2, 0, 2]],
            'q': '-3-10*x+ 28*x^2+ 48*x^3-40*x^4-84*x^5-8*x^6+ 42*x^7+ 24*x^8+ 4*x^9',
            'symmetry': 'negative amphicheiral '},
 (10, 89): {'jones': [-8, 2, -1, 3, -7, 12, -15, 17, -16, 13, -9, 5, -1],
            'kauffman': [0,
                         9,
                         [0, 8, 1, 0, 0, 0, -1, 0, -2, 0, -1],
                         [3, 9, -2, 0, -4, 0, -1, 0, 1],
                         [2, 8, 3, 0, 6, 0, 6, 0, 3],
                         [1, 9, 5, 0, 19, 0, 20, 0, 4, 0, -2],
                         [0, 8, -6, 0, -9, 0, -2, 0, -4, 0, -5],
                         [-1, 9, 1, 0, -15, 0, -35, 0, -27, 0, -7, 0, 1],
                         [0, 8, 5, 0, -4, 0, -15, 0, -3, 0, 3],
                         [1, 7, 9, 0, 15, 0, 11, 0, 5],
                         [2, 6, 7, 0, 12, 0, 5],
                         [3, 5, 2, 0, 2]],
            'q': '-3-6*x+ 18*x^2+ 46*x^3-26*x^4-82*x^5-14*x^6+ 40*x^7+ 24*x^8+ 4*x^9',
            'symmetry': 'reversible'},
 (10, 90): {'jones': [-4, 6, 1, -3, 7, -10, 12, -13, 12, -9, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-4, 2, 1, 0, 0, 0, -2, 0, -2],
                         [-5, 1, -1, 0, -1, 0, -2, 0, -2],
                         [-6, 4, 2, 0, -4, 0, -5, 0, 8, 0, 6, 0, -1],
                         [-5, 3, 7, 0, 7, 0, 9, 0, 7, 0, -2],
                         [-6, 4, -3, 0, 9, 0, 15, 0, -6, 0, -8, 0, 1],
                         [-5, 3, -9, 0, -11, 0, -15, 0, -10, 0, 3],
                         [-6, 2, 1, 0, -11, 0, -21, 0, -3, 0, 6],
                         [-5, 1, 3, 0, 1, 0, 5, 0, 7],
                         [-4, 0, 4, 0, 9, 0, 5],
                         [-3, -1, 2, 0, 2]],
            'q': '-3-6*x+ 6*x^2+ 28*x^3+ 8*x^4-42*x^5-28*x^6+ 16*x^7+ 18*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 91): {'jones': [-5, 5, -1, 3, -6, 9, -11, 13, -11, 9, -6, 3, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, 2, 0, 5, 0, 2],
                         [-3, 5, -3, 0, -6, 0, -4, 0, 0, 0, 1],
                         [-4, 4, 1, 0, -9, 0, -19, 0, -7, 0, 2],
                         [-5, 5, -2, 0, 9, 0, 18, 0, 9, 0, 0, 0, -2],
                         [-4, 4, -6, 0, 16, 0, 35, 0, 7, 0, -6],
                         [-5, 5, 1, 0, -12, 0, -13, 0, -7, 0, -6, 0, 1],
                         [-4, 4, 3, 0, -13, 0, -26, 0, -7, 0, 3],
                         [-3, 3, 5, 0, 2, 0, 1, 0, 4],
                         [-2, 2, 5, 0, 9, 0, 4],
                         [-1, 1, 2, 0, 2]],
            'q': '9-12*x-32*x^2+ 32*x^3+ 46*x^4-36*x^5-40*x^6+ 12*x^7+ 18*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 92): {'jones': [0, 10, 1, -3, 7, -10, 14, -15, 14, -12, 8, -4, 1],
            'kauffman': [0,
                         9,
                         [-6, -2, 1, 0, 1, 0, -1],
                         [-9, -3, -1, 0, -5, 0, -5, 0, -1],
                         [-10, -2, 2, 0, 2, 0, -2, 0, 1, 0, 3],
                         [-11, -3, -2, 0, 7, 0, 21, 0, 18, 0, 6],
                         [-12, -2, 1, 0, -8, 0, -4, 0, 10, 0, 2, 0, -3],
                         [-11, -3, 4, 0, -14, 0, -32, 0, -22, 0, -8],
                         [-10, -2, 8, 0, -5, 0, -22, 0, -8, 0, 1],
                         [-9, -3, 10, 0, 12, 0, 5, 0, 3],
                         [-8, -4, 7, 0, 11, 0, 4],
                         [-7, -5, 2, 0, 2]],
            'q': '1-12*x+ 6*x^2+ 50*x^3-2*x^4-72*x^5-26*x^6+ 30*x^7+ 22*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 93): {'jones': [-6, 4, -1, 3, -6, 9, -10, 11, -10, 8, -5, 3, -1],
            'kauffman': [0,
                         9,
                         [2, 4, -2, 0, -1],
                         [-3, 5, -2, 0, -6, 0, -6, 0, -1, 0, 1],
                         [-2, 4, -6, 0, -6, 0, 7, 0, 7],
                         [-3, 7, 5, 0, 18, 0, 25, 0, 7, 0, -4, 0, 1],
                         [-2, 6, 17, 0, 28, 0, -6, 0, -14, 0, 3],
                         [-3, 5, -4, 0, -10, 0, -29, 0, -17, 0, 6],
                         [-2, 4, -13, 0, -31, 0, -9, 0, 9],
                         [-3, 3, 1, 0, -3, 0, 5, 0, 9],
                         [-2, 2, 3, 0, 9, 0, 6],
                         [-1, 1, 2, 0, 2]],
            'q': '-3-14*x+ 2*x^2+ 52*x^3+ 28*x^4-54*x^5-44*x^6+ 12*x^7+ 18*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 94): {'jones': [-3, 7, 1, -3, 6, -8, 11, -12, 11, -9, 6, -3, 1],
            'kauffman': [0,
                         9,
                         [-4, 0, 2, 0, 4, 0, 3],
                         [-5, 1, -3, 0, -5, 0, -3, 0, -1],
                         [-8, 2, -1, 0, 2, 0, -6, 0, -18, 0, -7, 0, 2],
                         [-7, 1, -3, 0, 9, 0, 16, 0, 10, 0, 6],
                         [-8, 2, 1, 0, -6, 0, 10, 0, 31, 0, 11, 0, -3],
                         [-7, 1, 3, 0, -10, 0, -15, 0, -11, 0, -9],
                         [-6, 2, 5, 0, -9, 0, -27, 0, -12, 0, 1],
                         [-5, 1, 6, 0, 3, 0, 0, 0, 3],
                         [-4, 0, 5, 0, 9, 0, 4],
                         [-3, -1, 2, 0, 2]],
            'q': '9-12*x-28*x^2+ 38*x^3+ 44*x^4-42*x^5-42*x^6+ 12*x^7+ 18*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 95): {'jones': [-8, 2, -1, 3, -7, 11, -14, 16, -14, 12, -8, 4, -1],
            'kauffman': [0,
                         9,
                         [4, 6, 3, 0, 2],
                         [1, 9, -1, 0, -3, 0, -5, 0, -2, 0, 1],
                         [0, 8, 2, 0, 1, 0, -7, 0, -4, 0, 2],
                         [-1, 9, -1, 0, 5, 0, 16, 0, 17, 0, 5, 0, -2],
                         [0, 8, -6, 0, -2, 0, 13, 0, 4, 0, -5],
                         [-1, 9, 1, 0, -12, 0, -25, 0, -21, 0, -8, 0, 1],
                         [0, 8, 4, 0, -6, 0, -19, 0, -6, 0, 3],
                         [1, 7, 7, 0, 10, 0, 8, 0, 5],
                         [2, 6, 6, 0, 11, 0, 5],
                         [3, 5, 2, 0, 2]],
            'q': '5-10*x-6*x^2+ 40*x^3+ 4*x^4-64*x^5-24*x^6+ 30*x^7+ 22*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 96): {'jones': [-6, 4, 1, -3, 7, -11, 14, -16, 15, -12, 9, -4, 1],
            'kauffman': [0,
                         9,
                         [-2, 6, -2, 0, -3, 0, -3, 0, -2, 0, -1],
                         [-1, 5, -1, 0, -1, 0, -2, 0, -2],
                         [-2, 6, 5, 0, 12, 0, 10, 0, 6, 0, 3],
                         [-3, 5, -1, 0, 7, 0, 17, 0, 16, 0, 7],
                         [-4, 6, 1, 0, -10, 0, -17, 0, -4, 0, -1, 0, -3],
                         [-3, 5, 4, 0, -15, 0, -34, 0, -23, 0, -8],
                         [-2, 6, 9, 0, 0, 0, -17, 0, -7, 0, 1],
                         [-1, 5, 11, 0, 14, 0, 6, 0, 3],
                         [0, 4, 7, 0, 11, 0, 4],
                         [1, 3, 2, 0, 2]],
            'q': '-11-6*x+ 36*x^2+ 46*x^3-34*x^4-76*x^5-14*x^6+ 34*x^7+ 22*x^8+ 4*x^9',
            'symmetry': 'reversible'},
 (10, 97): {'jones': [-1, 9, 1, -3, 7, -11, 14, -14, 14, -11, 7, -4, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, -1, 0, -2, 0, -2, 0, -2],
                         [-7, -3, -4, 0, -6, 0, -2],
                         [-10, 0, 1, 0, 1, 0, 3, 0, 10, 0, 6, 0, -1],
                         [-9, -1, 8, 0, 20, 0, 24, 0, 10, 0, -2],
                         [-10, 0, -2, 0, 4, 0, 5, 0, -9, 0, -7, 0, 1],
                         [-9, -1, -11, 0, -28, 0, -32, 0, -12, 0, 3],
                         [-10, -2, 1, 0, -11, 0, -21, 0, -3, 0, 6],
                         [-9, -3, 4, 0, 7, 0, 11, 0, 8],
                         [-8, -4, 5, 0, 11, 0, 6],
                         [-7, -5, 2, 0, 2]],
            'q': '-7-12*x+ 20*x^2+ 60*x^3-8*x^4-80*x^5-28*x^6+ 30*x^7+ 22*x^8+ 4*x^9',
            'symmetry': 'reversible'},
 (10, 98): {'jones': [0, 10, 1, -3, 7, -9, 13, -14, 12, -11, 7, -3, 1],
            'kauffman': [0,
                         9,
                         [-8, -2, 2, 0, 5, 0, 3, 0, -1],
                         [-9, -5, -6, 0, -12, 0, -6],
                         [-12, -2, -1, 0, 4, 0, 0, 0, -10, 0, -2, 0, 3],
                         [-11, -3, -2, 0, 14, 0, 25, 0, 14, 0, 5],
                         [-12, -2, 1, 0, -7, 0, 2, 0, 17, 0, 4, 0, -3],
                         [-11, -3, 3, 0, -14, 0, -26, 0, -17, 0, -8],
                         [-10, -2, 6, 0, -7, 0, -23, 0, -9, 0, 1],
                         [-9, -3, 8, 0, 8, 0, 3, 0, 3],
                         [-8, -4, 6, 0, 10, 0, 4],
                         [-7, -5, 2, 0, 2]],
            'q': '9-24*x-6*x^2+ 56*x^3+ 14*x^4-62*x^5-32*x^6+ 22*x^7+ 20*x^8+ 4*x^9',
            'symmetry': 'chiral'},
 (10, 99): {'jones': [-5, 5, -1, 3, -7, 10, -12, 15, -12, 10, -7, 3, -1],
            'kauffman': [0,
                         9,
                         [-2, 2, 4, 0, 9, 0, 4],
                         [-5, 5, 1, 0, -3, 0, -10, 0, -10, 0, -3, 0, 1],
                         [-4, 4, 1, 0, -8, 0, -18, 0, -8, 0, 1],
                         [-5, 5, -2, 0, 5, 0, 21, 0, 21, 0, 5, 0, -2],
                         [-4, 4, -5, 0, 9, 0, 28, 0, 9, 0, -5],
                         [-5, 5, 1, 0, -9, 0, -18, 0, -18, 0, -9, 0, 1],
                         [-4, 4, 3, 0, -9, 0, -24, 0, -9, 0, 3],
                         [-3, 3, 5, 0, 5, 0, 5, 0, 5],
                         [-2, 2, 5, 0, 10, 0, 5],
                         [-1, 1, 2, 0, 2]],
            'q': '17-24*x-32*x^2+ 48*x^3+ 36*x^4-52*x^5-36*x^6+ 20*x^7+ 20*x^8+ 4*x^9',
            'symmetry': 'fully amphicheiral'},
 (10, 100): {'jones': [-9, 1, -1, 3, -6, 8, -10, 11, -9, 8, -5, 3, -1],
             'kauffman': [0,
                          9,
                          [2, 6, 1, 0, 5, 0, 3],
                          [1, 9, -2, 0, -6, 0, -8, 0, -2, 0, 2],
                          [2, 8, -7, 0, -17, 0, -6, 0, 4],
                          [1, 11, 5, 0, 20, 0, 26, 0, 5, 0, -5, 0, 1],
                          [2, 10, 17, 0, 36, 0, 5, 0, -11, 0, 3],
                          [1, 9, -4, 0, -11, 0, -27, 0, -14, 0, 6],
                          [2, 8, -13, 0, -33, 0, -12, 0, 8],
                          [1, 7, 1, 0, -3, 0, 4, 0, 8],
                          [2, 6, 3, 0, 9, 0, 6],
                          [3, 5, 2, 0, 2]],
             'q': '9-16*x-26*x^2+ 52*x^3+ 50*x^4-50*x^5-50*x^6+ 10*x^7+ 18*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 101): {'jones': [2, 12, 1, -3, 7, -10, 14, -14, 13, -11, 7, -4, 1],
             'kauffman': [0,
                          9,
                          [-12, -6, 1, 0, 4, 0, 2, 0, -2],
                          [-13, -9, -1, 0, -9, 0, -8],
                          [-14, -4, 1, 0, 1, 0, -9, 0, -1, 0, 7, 0, -1],
                          [-13, -5, 8, 0, 28, 0, 26, 0, 4, 0, -2],
                          [-14, -4, -2, 0, 3, 0, 15, 0, 1, 0, -8, 0, 1],
                          [-13, -5, -11, 0, -31, 0, -31, 0, -8, 0, 3],
                          [-14, -6, 1, 0, -11, 0, -24, 0, -6, 0, 6],
                          [-13, -7, 4, 0, 7, 0, 10, 0, 7],
                          [-12, -8, 5, 0, 11, 0, 6],
                          [-11, -9, 2, 0, 2]],
             'q': '5-18*x-2*x^2+ 64*x^3+ 10*x^4-78*x^5-34*x^6+ 28*x^7+ 22*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 102): {'jones': [-4, 6, 1, -3, 6, -9, 12, -12, 11, -9, 6, -3, 1],
             'kauffman': [0,
                          9,
                          [-4, 2, 1, 0, 1, 0, 0, 0, -1],
                          [-5, 1, -2, 0, -4, 0, -4, 0, -2],
                          [-6, 4, 2, 0, -4, 0, -8, 0, 2, 0, 3, 0, -1],
                          [-5, 3, 7, 0, 13, 0, 16, 0, 7, 0, -3],
                          [-6, 4, -3, 0, 8, 0, 21, 0, 3, 0, -6, 0, 1],
                          [-5, 3, -9, 0, -14, 0, -17, 0, -9, 0, 3],
                          [-6, 2, 1, 0, -11, 0, -24, 0, -7, 0, 5],
                          [-5, 1, 3, 0, 1, 0, 4, 0, 6],
                          [-4, 0, 4, 0, 9, 0, 5],
                          [-3, -1, 2, 0, 2]],
             'q': '1-12*x-6*x^2+ 40*x^3+ 24*x^4-46*x^5-36*x^6+ 14*x^7+ 18*x^8+ 4*x^9',
             'symmetry': 'chiral'},
 (10, 103): {'jones': [-8, 2, -1, 3, -6, 9, -12, 13, -11, 10, -6, 3, -1],
             'kauffman': [0,
                          9,
                          [0, 6, -1, 0, -3, 0, 0, 0, 1],
                          [-1, 7, 1, 0, 1, 0, -2, 0, -6, 0, -4],
                          [0, 8, 3, 0, 2, 0, -8, 0, -6, 0, 1],
                          [-1, 9, -2, 0, -2, 0, 9, 0, 21, 0, 10, 0, -2],
                          [0, 8, -6, 0, 0, 0, 25, 0, 13, 0, -6],
                          [-1, 9, 1, 0, -5, 0, -9, 0, -16, 0, -12, 0, 1],
                          [0, 8, 3, 0, -5, 0, -23, 0, -12, 0, 3],
                          [1, 7, 4, 0, 2, 0, 3, 0, 5],
                          [2, 6, 4, 0, 9, 0, 5],
                          [3, 5, 2, 0, 2]],
             'q': '-3-10*x-8*x^2+ 34*x^3+ 26*x^4-40*x^5-34*x^6+ 14*x^7+ 18*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 104): {'jones': [-5, 5, -1, 3, -6, 10, -12, 13, -12, 10, -6, 3, -1],
             'kauffman': [0,
                          9,
                          [-2, 2, 1, 0, 3, 0, 1],
                          [-3, 5, -2, 0, -4, 0, -2, 0, 1, 0, 1],
                          [-4, 4, 2, 0, -6, 0, -15, 0, -4, 0, 3],
                          [-5, 5, -2, 0, 8, 0, 13, 0, 4, 0, -1, 0, -2],
                          [-4, 4, -6, 0, 12, 0, 27, 0, 3, 0, -6],
                          [-5, 5, 1, 0, -11, 0, -12, 0, -6, 0, -5, 0, 1],
                          [-4, 4, 3, 0, -11, 0, -22, 0, -5, 0, 3],
                          [-3, 3, 5, 0, 3, 0, 2, 0, 4],
                          [-2, 2, 5, 0, 9, 0, 4],
                          [-1, 1, 2, 0, 2]],
             'q': '5-6*x-20*x^2+ 20*x^3+ 30*x^4-32*x^5-32*x^6+ 14*x^7+ 18*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 105): {'jones': [-3, 7, 1, -3, 7, -11, 14, -15, 15, -12, 8, -4, 1],
             'kauffman': [0,
                          9,
                          [-2, 2, -1, 0, -1, 0, -1],
                          [-5, 1, -1, 0, -3, 0, -4, 0, -2],
                          [-6, 2, 3, 0, 5, 0, 4, 0, 5, 0, 3],
                          [-7, 1, -2, 0, 6, 0, 19, 0, 18, 0, 7],
                          [-8, 2, 1, 0, -8, 0, -9, 0, 2, 0, -1, 0, -3],
                          [-7, 1, 4, 0, -13, 0, -33, 0, -24, 0, -8],
                          [-6, 2, 8, 0, -3, 0, -19, 0, -7, 0, 1],
                          [-5, 1, 10, 0, 13, 0, 6, 0, 3],
                          [-4, 0, 7, 0, 11, 0, 4],
                          [-3, -1, 2, 0, 2]],
             'q': '-3-10*x+ 20*x^2+ 48*x^3-18*x^4-74*x^5-20*x^6+ 32*x^7+ 22*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 106): {'jones': [-3, 7, 1, -3, 6, -9, 12, -12, 12, -10, 6, -3, 1],
             'kauffman': [0,
                          9,
                          [-4, 0, 1, 0, 2, 0, 2],
                          [-7, 1, 1, 0, 1, 0, -1, 0, -2, 0, -1],
                          [-8, 2, -1, 0, 2, 0, -3, 0, -13, 0, -5, 0, 2],
                          [-7, 1, -3, 0, 3, 0, 8, 0, 9, 0, 7],
                          [-8, 2, 1, 0, -5, 0, 4, 0, 22, 0, 9, 0, -3],
                          [-7, 1, 3, 0, -7, 0, -13, 0, -12, 0, -9],
                          [-6, 2, 5, 0, -6, 0, -23, 0, -11, 0, 1],
                          [-5, 1, 6, 0, 4, 0, 1, 0, 3],
                          [-4, 0, 5, 0, 9, 0, 4],
                          [-3, -1, 2, 0, 2]],
             'q': '5-2*x-18*x^2+ 24*x^3+ 28*x^4-38*x^5-34*x^6+ 14*x^7+ 18*x^8+ 4*x^9',
             'symmetry': 'chiral'},
 (10, 107): {'jones': [-5, 5, -1, 3, -7, 12, -14, 16, -15, 12, -8, 4, -1],
             'kauffman': [0,
                          9,
                          [2, 4, -2, 0, -1],
                          [-3, 5, -1, 0, -3, 0, -3, 0, 0, 0, 1],
                          [-4, 4, 2, 0, 2, 0, 0, 0, 3, 0, 3],
                          [-5, 5, -1, 0, 6, 0, 17, 0, 15, 0, 3, 0, -2],
                          [-4, 4, -6, 0, -4, 0, 5, 0, -2, 0, -5],
                          [-5, 5, 1, 0, -12, 0, -27, 0, -22, 0, -7, 0, 1],
                          [-4, 4, 4, 0, -5, 0, -16, 0, -4, 0, 3],
                          [-3, 3, 7, 0, 11, 0, 9, 0, 5],
                          [-2, 2, 6, 0, 11, 0, 5],
                          [-1, 1, 2, 0, 2]],
             'q': '-3-6*x+ 10*x^2+ 38*x^3-12*x^4-66*x^5-18*x^6+ 32*x^7+ 22*x^8+ 4*x^9',
             'symmetry': 'chiral'},
 (10, 108): {'jones': [-4, 6, -1, 3, -5, 8, -9, 10, -10, 8, -5, 3, -1],
             'kauffman': [0,
                          9,
                          [0, 0, 1],
                          [-3, 3, -2, 0, -6, 0, -6, 0, -2],
                          [-6, 2, -1, 0, 2, 0, 0, 0, -10, 0, -7],
                          [-7, 3, 1, 0, -3, 0, 10, 0, 28, 0, 19, 0, 5],
                          [-6, 2, 3, 0, -9, 0, 4, 0, 33, 0, 17],
                          [-5, 3, 5, 0, -17, 0, -29, 0, -11, 0, -4],
                          [-4, 2, 7, 0, -13, 0, -33, 0, -13],
                          [-3, 3, 8, 0, 4, 0, -3, 0, 1],
                          [-2, 2, 6, 0, 9, 0, 3],
                          [-1, 1, 2, 0, 2]],
             'q': '1-16*x-16*x^2+ 60*x^3+ 48*x^4-56*x^5-52*x^6+ 10*x^7+ 18*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 109): {'jones': [-5, 5, -1, 3, -7, 11, -13, 15, -13, 11, -7, 3, -1],
             'kauffman': [0,
                          9,
                          [-2, 2, 3, 0, 7, 0, 3],
                          [-5, 5, 1, 0, -1, 0, -5, 0, -5, 0, -1, 0, 1],
                          [-4, 4, 2, 0, -7, 0, -18, 0, -7, 0, 2],
                          [-5, 5, -2, 0, 4, 0, 13, 0, 13, 0, 4, 0, -2],
                          [-4, 4, -5, 0, 6, 0, 22, 0, 6, 0, -5],
                          [-5, 5, 1, 0, -8, 0, -16, 0, -16, 0, -8, 0, 1],
                          [-4, 4, 3, 0, -7, 0, -20, 0, -7, 0, 3],
                          [-3, 3, 5, 0, 6, 0, 6, 0, 5],
                          [-2, 2, 5, 0, 10, 0, 5],
                          [-1, 1, 2, 0, 2]],
             'q': '13-10*x-28*x^2+ 30*x^3+ 24*x^4-46*x^5-28*x^6+ 22*x^7+ 20*x^8+ 4*x^9',
             'symmetry': 'negative amphicheiral '},
 (10, 110): {'jones': [-3, 7, 1, -3, 7, -10, 13, -14, 13, -11, 7, -3, 1],
             'kauffman': [0,
                          9,
                          [-6, 2, -1, 0, -1, 0, 0, 0, 0, 0, -1],
                          [-5, 1, -4, 0, -6, 0, -3, 0, -1],
                          [-8, 2, -1, 0, 5, 0, 6, 0, -1, 0, 2, 0, 3],
                          [-7, 1, -2, 0, 12, 0, 21, 0, 13, 0, 6],
                          [-8, 2, 1, 0, -7, 0, -4, 0, 8, 0, 1, 0, -3],
                          [-7, 1, 3, 0, -13, 0, -27, 0, -19, 0, -8],
                          [-6, 2, 6, 0, -5, 0, -20, 0, -8, 0, 1],
                          [-5, 1, 8, 0, 9, 0, 4, 0, 3],
                          [-4, 0, 6, 0, 10, 0, 4],
                          [-3, -1, 2, 0, 2]],
             'q': '-3-14*x+ 14*x^2+ 50*x^3-4*x^4-64*x^5-26*x^6+ 24*x^7+ 20*x^8+ 4*x^9',
             'symmetry': 'chiral'},
 (10, 111): {'jones': [0, 10, 1, -3, 7, -9, 12, -13, 12, -10, 6, -3, 1],
             'kauffman': [0,
                          9,
                          [-8, -2, 1, 0, 3, 0, 2, 0, -1],
                          [-9, -3, -4, 0, -10, 0, -7, 0, -1],
                          [-12, -2, -1, 0, 1, 0, -3, 0, -10, 0, -2, 0, 3],
                          [-11, -3, -3, 0, 13, 0, 30, 0, 19, 0, 5],
                          [-12, -2, 1, 0, -5, 0, 10, 0, 22, 0, 3, 0, -3],
                          [-11, -3, 3, 0, -13, 0, -28, 0, -20, 0, -8],
                          [-10, -2, 5, 0, -11, 0, -26, 0, -9, 0, 1],
                          [-9, -3, 7, 0, 7, 0, 3, 0, 3],
                          [-8, -4, 6, 0, 10, 0, 4],
                          [-7, -5, 2, 0, 2]],
             'q': '5-22*x-12*x^2+ 64*x^3+ 28*x^4-66*x^5-40*x^6+ 20*x^7+ 20*x^8+ 4*x^9',
             'symmetry': 'reversible'},
 (10, 112): {'jones': [-7, 3, 1, -4, 7, -11, 14, -14, 14, -10, 7, -4, 1],
             'kauffman': [0,
                          9,
                          [0, 4, -1, 0, -4, 0, -2],
                          [3, 5, 2, 0, 2],
                          [0, 6, -3, 0, -3, 0, 1, 0, 1],
                          [-1, 7, 6, 0, 13, 0, 9, 0, -1, 0, -3],
                          [-2, 8, -2, 0, 15, 0, 28, 0, 3, 0, -7, 0, 1],
                          [-1, 7, -11, 0, -16, 0, -17, 0, -8, 0, 4],
                          [-2, 6, 1, 0, -18, 0, -35, 0, -9, 0, 7],
                          [-1, 5, 4, 0, 0, 0, 4, 0, 8],
                          [0, 4, 6, 0, 13, 0, 7],
                          [1, 3, 3, 0, 3]],
             'q': '-7+ 4*x-4*x^2+ 24*x^3+ 38*x^4-48*x^5-54*x^6+ 16*x^7+ 26*x^8+ 6*x^9',
             'symmetry': 'reversible'},
 (10, 113): {'jones': [-2, 8, -1, 4, -8, 14, -17, 19, -18, 14, -10, 5, -1],
             'kauffman': [0,
                          9,
                          [-6, -2, -1, 0, -3, 0, -3],
                          [-7, -1, 1, 0, 1, 0, -1, 0, -1],
                          [-6, 0, 3, 0, 8, 0, 8, 0, 3],
                          [-7, 1, 5, 0, 16, 0, 17, 0, 5, 0, -1],
                          [-8, 0, -5, 0, -4, 0, 1, 0, -6, 0, -6],
                          [-9, 1, 1, 0, -16, 0, -36, 0, -30, 0, -10, 0, 1],
                          [-8, 0, 5, 0, -9, 0, -23, 0, -5, 0, 4],
                          [-7, -1, 10, 0, 15, 0, 12, 0, 7],
                          [-6, -2, 9, 0, 16, 0, 7],
                          [-5, -3, 3, 0, 3]],
             'q': '-7+ 22*x^2+ 42*x^3-20*x^4-90*x^5-28*x^6+ 44*x^7+ 32*x^8+ 6*x^9',
             'symmetry': 'reversible'},
 (10, 114): {'jones': [-6, 4, 1, -4, 7, -11, 15, -15, 15, -12, 8, -4, 1],
             'kauffman': [0,
                          9,
                          [2, 4, -2, 0, -1],
                          [-1, 3, -1, 0, -3, 0, -2],
                          [-2, 4, 2, 0, 0, 0, -5, 0, -3],
                          [-3, 5, -2, 0, 5, 0, 18, 0, 18, 0, 7],
                          [-4, 6, 1, 0, -8, 0, 1, 0, 26, 0, 14, 0, -2],
                          [-3, 5, 4, 0, -13, 0, -27, 0, -21, 0, -11],
                          [-2, 6, 8, 0, -9, 0, -35, 0, -17, 0, 1],
                          [-1, 5, 10, 0, 8, 0, 2, 0, 4],
                          [0, 4, 8, 0, 14, 0, 6],
                          [1, 3, 3, 0, 3]],
             'q': '-3-6*x-6*x^2+ 46*x^3+ 32*x^4-68*x^5-52*x^6+ 24*x^7+ 28*x^8+ 6*x^9',
             'symmetry': 'reversible'},
 (10, 115): {'jones': [-5, 5, -1, 4, -9, 14, -17, 19, -17, 14, -9, 4, -1],
             'kauffman': [0,
                          9,
                          [-2, 2, 1, 0, 3, 0, 1],
                          [-3, 3, -2, 0, -5, 0, -5, 0, -2],
                          [-4, 4, 2, 0, -1, 0, -6, 0, -1, 0, 2],
                          [-5, 5, -1, 0, 8, 0, 22, 0, 22, 0, 8, 0, -1],
                          [-4, 4, -5, 0, 1, 0, 12, 0, 1, 0, -5],
                          [-5, 5, 1, 0, -13, 0, -34, 0, -34, 0, -13, 0, 1],
                          [-4, 4, 4, 0, -9, 0, -26, 0, -9, 0, 4],
                          [-3, 3, 8, 0, 13, 0, 13, 0, 8],
                          [-2, 2, 8, 0, 16, 0, 8],
                          [-1, 1, 3, 0, 3]],
             'q': '5-14*x-4*x^2+ 58*x^3+ 4*x^4-92*x^5-36*x^6+ 42*x^7+ 32*x^8+ 6*x^9',
             'symmetry': 'negative amphicheiral '},
 (10, 116): {'jones': [-7, 3, 1, -4, 8, -12, 15, -16, 15, -11, 8, -4, 1],
             'kauffman': [0,
                          9,
                          [0, 0, 1],
                          [-1, 5, -1, 0, -3, 0, -3, 0, -1],
                          [-2, 6, 1, 0, -1, 0, -3, 0, 1, 0, 2],
                          [-1, 7, 6, 0, 17, 0, 19, 0, 6, 0, -2],
                          [-2, 8, -2, 0, 9, 0, 19, 0, -1, 0, -8, 0, 1],
                          [-1, 7, -10, 0, -22, 0, -29, 0, -13, 0, 4],
                          [-2, 6, 1, 0, -15, 0, -32, 0, -8, 0, 8],
                          [-1, 5, 4, 0, 3, 0, 9, 0, 10],
                          [0, 4, 6, 0, 14, 0, 8],
                          [1, 3, 3, 0, 3]],
             'q': '1-8*x+ 46*x^3+ 18*x^4-70*x^5-46*x^6+ 26*x^7+ 28*x^8+ 6*x^9',
             'symmetry': 'reversible'},
 (10, 117): {'jones': [-8, 2, -1, 4, -9, 13, -16, 18, -16, 13, -8, 4, -1],
             'kauffman': [0,
                          9,
                          [2, 6, -1, 0, 1, 0, 1],
                          [1, 7, -1, 0, -3, 0, -5, 0, -3],
                          [0, 8, 2, 0, 2, 0, -4, 0, -3, 0, 1],
                          [-1, 9, -1, 0, 5, 0, 18, 0, 21, 0, 8, 0, -1],
                          [0, 8, -6, 0, 0, 0, 17, 0, 6, 0, -5],
                          [-1, 9, 1, 0, -11, 0, -26, 0, -29, 0, -14, 0, 1],
                          [0, 8, 4, 0, -8, 0, -28, 0, -12, 0, 4],
                          [1, 7, 7, 0, 9, 0, 10, 0, 8],
                          [2, 6, 7, 0, 15, 0, 8],
                          [3, 5, 3, 0, 3]],
             'q': '1-12*x-2*x^2+ 50*x^3+ 12*x^4-78*x^5-40*x^6+ 34*x^7+ 30*x^8+ 6*x^9',
             'symmetry': 'chiral'},
 (10, 118): {'jones': [-5, 5, -1, 4, -8, 12, -15, 17, -15, 12, -8, 4, -1],
             'kauffman': [0,
                          9,
                          [0, 0, 1],
                          [-3, 3, -1, 0, -3, 0, -3, 0, -1],
                          [-4, 4, 1, 0, -2, 0, -6, 0, -2, 0, 1],
                          [-5, 5, -1, 0, 5, 0, 15, 0, 15, 0, 5, 0, -1],
                          [-4, 4, -6, 0, 6, 0, 24, 0, 6, 0, -6],
                          [-5, 5, 1, 0, -12, 0, -20, 0, -20, 0, -12, 0, 1],
                          [-4, 4, 4, 0, -11, 0, -30, 0, -11, 0, 4],
                          [-3, 3, 7, 0, 6, 0, 6, 0, 7],
                          [-2, 2, 7, 0, 14, 0, 7],
                          [-1, 1, 3, 0, 3]],
             'q': '1-8*x-8*x^2+ 38*x^3+ 24*x^4-62*x^5-44*x^6+ 26*x^7+ 28*x^8+ 6*x^9',
             'symmetry': 'negative amphicheiral '},
 (10, 119): {'jones': [-6, 4, 1, -4, 8, -12, 16, -17, 16, -13, 9, -4, 1],
             'kauffman': [0,
                          9,
                          [-2, 2, -1, 0, -1, 0, -1],
                          [-1, 5, -2, 0, -4, 0, -3, 0, -1],
                          [-2, 6, 4, 0, 6, 0, 1, 0, 0, 0, 1],
                          [-3, 5, -1, 0, 9, 0, 22, 0, 19, 0, 7],
                          [-4, 6, 1, 0, -9, 0, -7, 0, 13, 0, 8, 0, -2],
                          [-3, 5, 4, 0, -17, 0, -37, 0, -26, 0, -10],
                          [-2, 6, 9, 0, -7, 0, -31, 0, -14, 0, 1],
                          [-1, 5, 12, 0, 13, 0, 5, 0, 4],
                          [0, 4, 9, 0, 15, 0, 6],
                          [1, 3, 3, 0, 3]],
             'q': '-3-10*x+ 12*x^2+ 56*x^3+ 4*x^4-86*x^5-42*x^6+ 34*x^7+ 30*x^8+ 6*x^9',
             'symmetry': 'chiral'},
 (10, 120): {'jones': [2, 12, 1, -4, 10, -13, 17, -18, 16, -13, 8, -4, 1],
             'kauffman': [0,
                          9,
                          [-12, -6, 1, 0, 3, 0, 0, 0, -3],
                          [-13, -7, -2, 0, -8, 0, -4, 0, 2],
                          [-14, -6, 1, 0, 1, 0, -7, 0, 0, 0, 7],
                          [-13, -7, 8, 0, 29, 0, 26, 0, 5],
                          [-14, -4, -2, 0, 6, 0, 17, 0, -3, 0, -11, 0, 1],
                          [-13, -5, -10, 0, -33, 0, -44, 0, -17, 0, 4],
                          [-14, -6, 1, 0, -13, 0, -33, 0, -9, 0, 10],
                          [-13, -7, 4, 0, 7, 0, 16, 0, 13],
                          [-12, -8, 6, 0, 16, 0, 10],
                          [-11, -9, 3, 0, 3]],
             'q': '1-12*x+ 2*x^2+ 68*x^3+ 8*x^4-100*x^5-44*x^6+ 40*x^7+ 32*x^8+ 6*x^9',
             'symmetry': 'reversible'},
 (10, 121): {'jones': [-2, 8, -1, 5, -10, 15, -18, 20, -18, 14, -9, 4, -1],
             'kauffman': [0,
                          9,
                          [-6, 0, 1, 0, 2, 0, 1, 0, 1],
                          [-7, -3, -2, 0, -3, 0, -1],
                          [-8, -2, 1, 0, -3, 0, -7, 0, -3],
                          [-9, -1, -1, 0, 8, 0, 19, 0, 14, 0, 4],
                          [-8, 0, -5, 0, 9, 0, 22, 0, 3, 0, -5],
                          [-9, 1, 1, 0, -13, 0, -28, 0, -30, 0, -15, 0, 1],
                          [-8, 0, 4, 0, -14, 0, -36, 0, -13, 0, 5],
                          [-7, -1, 8, 0, 9, 0, 11, 0, 10],
                          [-6, -2, 9, 0, 19, 0, 10],
                          [-5, -3, 4, 0, 4]],
             'q': '5-6*x-12*x^2+ 44*x^3+ 24*x^4-84*x^5-54*x^6+ 38*x^7+ 38*x^8+ 8*x^9',
             'symmetry': 'reversible'},
 (10, 122): {'jones': [-6, 4, 1, -5, 9, -13, 17, -17, 17, -13, 8, -4, 1],
             'kauffman': [0,
                          9,
                          [0, 4, -1, 0, -4, 0, -2],
                          [3, 5, 2, 0, 2],
                          [-2, 0, 2, 0, 2],
                          [-3, 5, -2, 0, 6, 0, 18, 0, 14, 0, 4],
                          [-4, 6, 1, 0, -7, 0, 3, 0, 24, 0, 12, 0, -1],
                          [-3, 5, 4, 0, -14, 0, -32, 0, -25, 0, -11],
                          [-2, 6, 8, 0, -13, 0, -42, 0, -20, 0, 1],
                          [-1, 5, 11, 0, 9, 0, 3, 0, 5],
                          [0, 4, 10, 0, 18, 0, 8],
                          [1, 3, 4, 0, 4]],
             'q': '-7+ 4*x+ 4*x^2+ 40*x^3+ 32*x^4-78*x^5-66*x^6+ 28*x^7+ 36*x^8+ 8*x^9',
             'symmetry': 'reversible'},
 (10, 123): {'jones': [-5, 5, -1, 5, -10, 15, -19, 21, -19, 15, -10, 5, -1],
             'kauffman': [0,
                          9,
                          [-2, 2, -2, 0, -3, 0, -2],
                          [-1, 1, -2, 0, -2],
                          [-2, 2, 6, 0, 12, 0, 6],
                          [-3, 3, 5, 0, 21, 0, 21, 0, 5],
                          [-4, 4, -5, 0, -3, 0, 4, 0, -3, 0, -5],
                          [-5, 5, 1, 0, -15, 0, -38, 0, -38, 0, -15, 0, 1],
                          [-4, 4, 5, 0, -11, 0, -32, 0, -11, 0, 5],
                          [-3, 3, 10, 0, 14, 0, 14, 0, 10],
                          [-2, 2, 10, 0, 20, 0, 10],
                          [-1, 1, 4, 0, 4]],
             'q': '-7-4*x+ 24*x^2+ 52*x^3-12*x^4-104*x^5-44*x^6+ 48*x^7+ 40*x^8+ 8*x^9',
             'symmetry': 'fully amphicheiral'},
 (10, 124): {'jones': [4, 10, 1, 0, 1, 0, 0, 0, -1],
             'kauffman': [0,
                          8,
                          [-12, -8, 2, 0, 8, 0, 7],
                          [-11, -9, -8, 0, -8],
                          [-12, -8, -1, 0, -22, 0, -21],
                          [-11, -9, 14, 0, 14],
                          [-10, -8, 21, 0, 21],
                          [-11, -9, -7, 0, -7],
                          [-10, -8, -8, 0, -8],
                          [-11, -9, 1, 0, 1],
                          [-10, -8, 1, 0, 1]],
             'q': '17-16*x-44*x^2+ 28*x^3+ 42*x^4-14*x^5-16*x^6+ 2*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 125): {'jones': [-4, 4, -1, 1, -1, 2, -1, 2, -1, 1, -1],
             'kauffman': [0,
                          8,
                          [-2, 2, 3, 0, 7, 0, 3],
                          [-5, 3, 1, 0, -1, 0, -6, 0, -8, 0, -4],
                          [-4, 2, 1, 0, -6, 0, -15, 0, -8],
                          [-3, 3, 1, 0, 8, 0, 17, 0, 10],
                          [-2, 2, 2, 0, 13, 0, 11],
                          [-1, 3, -5, 0, -11, 0, -6],
                          [0, 2, -6, 0, -6],
                          [-1, 3, 1, 0, 2, 0, 1],
                          [0, 2, 1, 0, 1]],
             'q': '13-18*x-28*x^2+ 36*x^3+ 26*x^4-22*x^5-12*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 126): {'jones': [-8, 0, -1, 1, -2, 3, -3, 4, -2, 2, -1],
             'kauffman': [0,
                          8,
                          [2, 6, 2, 0, 7, 0, 4],
                          [1, 9, -2, 0, -6, 0, -8, 0, -1, 0, 3],
                          [2, 8, -4, 0, -16, 0, -11, 0, 1],
                          [1, 9, 1, 0, 11, 0, 16, 0, 2, 0, -4],
                          [2, 8, 2, 0, 16, 0, 11, 0, -3],
                          [3, 9, -5, 0, -9, 0, -3, 0, 1],
                          [4, 8, -6, 0, -5, 0, 1],
                          [3, 7, 1, 0, 2, 0, 1],
                          [4, 6, 1, 0, 1]],
             'q': '13-14*x-30*x^2+ 26*x^3+ 26*x^4-16*x^5-10*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 127): {'jones': [2, 10, 2, -2, 4, -5, 5, -5, 3, -2, 1],
             'kauffman': [0,
                          8,
                          [-8, -4, 2, 0, 6, 0, 5],
                          [-11, -5, 1, 0, -2, 0, -8, 0, -5],
                          [-12, -4, -2, 0, 1, 0, -2, 0, -14, 0, -9],
                          [-11, -5, -4, 0, 7, 0, 16, 0, 5],
                          [-12, -4, 1, 0, -3, 0, 4, 0, 11, 0, 3],
                          [-11, -5, 2, 0, -5, 0, -10, 0, -3],
                          [-10, -6, 2, 0, -2, 0, -4],
                          [-9, -5, 2, 0, 3, 0, 1],
                          [-8, -6, 1, 0, 1]],
             'q': '13-14*x-26*x^2+ 24*x^3+ 16*x^4-16*x^5-4*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 128): {'jones': [3, 10, 1, -1, 2, -1, 2, -2, 1, -1],
             'kauffman': [0,
                          8,
                          [-12, -6, 1, 0, 4, 0, 2, 0, -2],
                          [-11, -7, -6, 0, -5, 0, 1],
                          [-10, -6, -11, 0, -5, 0, 6],
                          [-11, -7, 11, 0, 13, 0, 2],
                          [-10, -6, 12, 0, 7, 0, -5],
                          [-11, -7, -6, 0, -10, 0, -4],
                          [-10, -6, -6, 0, -5, 0, 1],
                          [-11, -7, 1, 0, 2, 0, 1],
                          [-10, -8, 1, 0, 1]],
             'q': '5-10*x-10*x^2+ 26*x^3+ 14*x^4-20*x^5-10*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 129): {'jones': [-3, 5, -1, 2, -3, 5, -4, 4, -3, 2, -1],
             'kauffman': [0,
                          8,
                          [-4, 2, -1, 0, -1, 0, 2, 0, 1],
                          [-5, 3, 1, 0, -1, 0, -5, 0, -5, 0, -2],
                          [-4, 2, 3, 0, 2, 0, -4, 0, -3],
                          [-5, 3, -3, 0, 4, 0, 15, 0, 9, 0, 1],
                          [-4, 2, -6, 0, 0, 0, 8, 0, 2],
                          [-5, 1, 1, 0, -6, 0, -11, 0, -4],
                          [-4, 0, 2, 0, -2, 0, -4],
                          [-3, 1, 2, 0, 3, 0, 1],
                          [-2, 0, 1, 0, 1]],
             'q': '1-12*x-2*x^2+ 26*x^3+ 4*x^4-20*x^5-4*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 130): {'jones': [-7, 1, -1, 1, -2, 3, -2, 3, -2, 2, -1],
             'kauffman': [0,
                          8,
                          [0, 6, -1, 0, -2, 0, 2, 0, 2],
                          [-1, 7, 1, 0, 1, 0, -3, 0, -9, 0, -6],
                          [0, 6, 2, 0, 6, 0, 0, 0, -4],
                          [1, 7, -2, 0, 8, 0, 21, 0, 11],
                          [2, 6, -7, 0, 0, 0, 7],
                          [1, 7, 1, 0, -8, 0, -15, 0, -6],
                          [2, 6, 2, 0, -3, 0, -5],
                          [3, 7, 2, 0, 3, 0, 1],
                          [4, 6, 1, 0, 1]],
             'q': '1-16*x+ 4*x^2+ 38*x^3-28*x^5-6*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 131): {'jones': [1, 9, 2, -3, 5, -5, 5, -5, 3, -2, 1],
             'kauffman': [0,
                          8,
                          [-8, -2, 1, 0, 2, 0, 0, 0, -2],
                          [-9, -3, -3, 0, -5, 0, -1, 0, 1],
                          [-10, -2, 4, 0, 2, 0, -3, 0, 2, 0, 3],
                          [-9, -3, 9, 0, 10, 0, 2, 0, 1],
                          [-10, -4, -4, 0, -4, 0, -2, 0, -2],
                          [-9, -3, -8, 0, -12, 0, -3, 0, 1],
                          [-10, -4, 1, 0, -1, 0, 0, 0, 2],
                          [-9, -5, 2, 0, 4, 0, 2],
                          [-8, -6, 1, 0, 1]],
             'q': '1-8*x+ 8*x^2+ 22*x^3-12*x^4-22*x^5+ 2*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 132): {'jones': [-7, -2, -1, 1, -1, 1, 0, 1],
             'kauffman': [0,
                          8,
                          [4, 6, 3, 0, 2],
                          [1, 7, -1, 0, -4, 0, -8, 0, -5],
                          [2, 6, -1, 0, -7, 0, -6],
                          [3, 7, 9, 0, 19, 0, 10],
                          [4, 6, 10, 0, 10],
                          [3, 7, -6, 0, -12, 0, -6],
                          [4, 6, -6, 0, -6],
                          [3, 7, 1, 0, 2, 0, 1],
                          [4, 6, 1, 0, 1]],
             'q': '5-18*x-14*x^2+ 38*x^3+ 20*x^4-24*x^5-12*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 133): {'jones': [1, 9, 1, -1, 3, -3, 3, -3, 2, -2, 1],
             'kauffman': [0,
                          8,
                          [-8, -2, 1, 0, 3, 0, 2, 0, -1],
                          [-9, -5, -3, 0, -7, 0, -4],
                          [-10, -2, 3, 0, 1, 0, -6, 0, -3, 0, 1],
                          [-9, -3, 10, 0, 16, 0, 7, 0, 1],
                          [-10, -4, -4, 0, 0, 0, 6, 0, 2],
                          [-9, -5, -9, 0, -13, 0, -4],
                          [-10, -6, 1, 0, -3, 0, -4],
                          [-9, -5, 2, 0, 3, 0, 1],
                          [-8, -6, 1, 0, 1]],
             'q': '5-14*x-4*x^2+ 34*x^3+ 4*x^4-26*x^5-6*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 134): {'jones': [3, 11, 1, -1, 3, -3, 4, -4, 3, -3, 1],
             'kauffman': [0,
                          8,
                          [-12, -6, 1, 0, 3, 0, 0, 0, -3],
                          [-13, -7, -2, 0, -8, 0, -4, 0, 2],
                          [-14, -6, 1, 0, 1, 0, -7, 0, 0, 0, 7],
                          [-13, -9, 3, 0, 14, 0, 11],
                          [-12, -6, -1, 0, 5, 0, 1, 0, -5],
                          [-11, -7, -8, 0, -11, 0, -3],
                          [-12, -6, 1, 0, -3, 0, -3, 0, 1],
                          [-11, -7, 2, 0, 3, 0, 1],
                          [-10, -8, 1, 0, 1]],
             'q': '1-12*x+ 2*x^2+ 28*x^3-22*x^5-4*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 135): {'jones': [-3, 5, -2, 4, -5, 7, -6, 6, -4, 2, -1],
             'kauffman': [0,
                          8,
                          [-4, 2, -1, 0, 0, 0, 4, 0, 2],
                          [-5, 3, 2, 0, 1, 0, -4, 0, -6, 0, -3],
                          [-4, 2, 3, 0, 1, 0, -6, 0, -4],
                          [-5, 3, -3, 0, -1, 0, 8, 0, 9, 0, 3],
                          [-4, 2, -5, 0, -4, 0, 3, 0, 2],
                          [-5, 1, 1, 0, -3, 0, -8, 0, -4],
                          [-4, 2, 2, 0, 1, 0, 0, 0, 1],
                          [-3, 1, 2, 0, 4, 0, 2],
                          [-2, 0, 1, 0, 1]],
             'q': '5-10*x-6*x^2+ 16*x^3-4*x^4-14*x^5+ 4*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 136): {'jones': [-4, 3, -1, 2, -2, 3, -2, 2, -2, 1],
             'kauffman': [0,
                          8,
                          [-2, 4, -1, 0, -2, 0, -3, 0, -1],
                          [-1, 3, -2, 0, -4, 0, -2],
                          [-2, 4, 3, 0, 6, 0, 4, 0, 1],
                          [-1, 3, 9, 0, 16, 0, 7],
                          [-2, 2, -4, 0, -2, 0, 2],
                          [-1, 3, -9, 0, -14, 0, -5],
                          [-2, 2, 1, 0, -3, 0, -4],
                          [-1, 3, 2, 0, 3, 0, 1],
                          [0, 2, 1, 0, 1]],
             'q': '-7-8*x+ 14*x^2+ 32*x^3-4*x^4-28*x^5-6*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 137): {'jones': [-2, 6, 1, -2, 4, -4, 4, -4, 3, -2, 1],
             'kauffman': [0,
                          8,
                          [-6, 2, -1, 0, -2, 0, -2, 0, -1, 0, -1],
                          [-5, 1, -3, 0, -5, 0, -3, 0, -1],
                          [-6, 2, 4, 0, 8, 0, 7, 0, 4, 0, 1],
                          [-5, 1, 8, 0, 15, 0, 9, 0, 2],
                          [-6, 0, -4, 0, -7, 0, -5, 0, -2],
                          [-5, -1, -8, 0, -15, 0, -7],
                          [-6, 0, 1, 0, -1, 0, -1, 0, 1],
                          [-5, -1, 2, 0, 4, 0, 2],
                          [-4, -2, 1, 0, 1]],
             'q': '-7-12*x+ 24*x^2+ 34*x^3-18*x^4-30*x^5+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 138): {'jones': [-3, 5, 1, -2, 4, -5, 6, -6, 5, -4, 2],
             'kauffman': [0,
                          8,
                          [-6, 2, -1, 0, -2, 0, -3, 0, -3, 0, -2],
                          [-5, 1, -2, 0, -2, 0, -1, 0, -1],
                          [-6, 2, 3, 0, 6, 0, 10, 0, 12, 0, 5],
                          [-5, 1, 3, 0, 5, 0, 8, 0, 6],
                          [-4, 2, -5, 0, -13, 0, -12, 0, -4],
                          [-5, 1, 1, 0, -6, 0, -14, 0, -7],
                          [-4, 2, 3, 0, 3, 0, 1, 0, 1],
                          [-3, 1, 3, 0, 5, 0, 2],
                          [-2, 0, 1, 0, 1]],
             'q': '-11-6*x+ 36*x^2+ 22*x^3-34*x^4-26*x^5+ 8*x^6+ 10*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 139): {'jones': [4, 12, 1, 0, 1, 0, -1, 1, -1, 1, -1],
             'kauffman': [0,
                          8,
                          [-12, -8, 1, 0, 6, 0, 6],
                          [-15, -9, -2, 0, -1, 0, -5, 0, -6],
                          [-14, -8, -2, 0, 0, 0, -19, 0, -21],
                          [-15, -9, 1, 0, 1, 0, 13, 0, 13],
                          [-14, -8, 1, 0, 0, 0, 20, 0, 21],
                          [-11, -9, -7, 0, -7],
                          [-10, -8, -8, 0, -8],
                          [-11, -9, 1, 0, 1],
                          [-10, -8, 1, 0, 1]],
             'q': '13-14*x-42*x^2+ 28*x^3+ 42*x^4-14*x^5-16*x^6+ 2*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 140): {'jones': [0, 7, 1, -1, 1, -1, 2, -1, 1, -1],
             'kauffman': [0,
                          8,
                          [-6, 0, 2, 0, 4, 0, 2, 0, 1],
                          [-7, -3, -4, 0, -6, 0, -2],
                          [-6, -2, -8, 0, -12, 0, -4],
                          [-7, -3, 10, 0, 16, 0, 6],
                          [-6, -2, 11, 0, 12, 0, 1],
                          [-7, -3, -6, 0, -11, 0, -5],
                          [-6, -4, -6, 0, -6],
                          [-7, -3, 1, 0, 2, 0, 1],
                          [-6, -4, 1, 0, 1]],
             'q': '9-12*x-24*x^2+ 32*x^3+ 24*x^4-22*x^5-12*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 141): {'jones': [-2, 6, 1, -2, 3, -3, 4, -3, 2, -2, 1],
             'kauffman': [0,
                          8,
                          [-4, 0, 1, 0, 2, 0, 2],
                          [-5, 1, -2, 0, -4, 0, -3, 0, -1],
                          [-6, 2, 3, 0, -1, 0, -9, 0, -4, 0, 1],
                          [-5, 1, 10, 0, 13, 0, 5, 0, 2],
                          [-6, 0, -4, 0, 1, 0, 8, 0, 3],
                          [-5, -1, -9, 0, -12, 0, -3],
                          [-6, -2, 1, 0, -3, 0, -4],
                          [-5, -1, 2, 0, 3, 0, 1],
                          [-4, -2, 1, 0, 1]],
             'q': '5-10*x-10*x^2+ 30*x^3+ 8*x^4-24*x^5-6*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 142): {'jones': [3, 10, 1, -1, 2, -2, 3, -2, 2, -2],
             'kauffman': [0,
                          8,
                          [-12, -6, 1, 0, 5, 0, 4, 0, -1],
                          [-13, -9, 2, 0, -4, 0, -6],
                          [-12, -6, -1, 0, -17, 0, -10, 0, 6],
                          [-11, -7, 9, 0, 12, 0, 3],
                          [-12, -6, 1, 0, 15, 0, 9, 0, -5],
                          [-11, -7, -5, 0, -9, 0, -4],
                          [-10, -6, -6, 0, -5, 0, 1],
                          [-11, -7, 1, 0, 2, 0, 1],
                          [-10, -8, 1, 0, 1]],
             'q': '9-8*x-22*x^2+ 24*x^3+ 20*x^4-18*x^5-10*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 143): {'jones': [-8, 0, -1, 2, -3, 4, -5, 5, -3, 3, -1],
             'kauffman': [0,
                          8,
                          [4, 6, 3, 0, 2],
                          [1, 9, -1, 0, -3, 0, -5, 0, -2, 0, 1],
                          [2, 8, -4, 0, -10, 0, -3, 0, 3],
                          [1, 9, 1, 0, 7, 0, 14, 0, 5, 0, -3],
                          [2, 8, 3, 0, 11, 0, 2, 0, -6],
                          [3, 9, -3, 0, -10, 0, -6, 0, 1],
                          [4, 8, -4, 0, -2, 0, 2],
                          [3, 7, 1, 0, 3, 0, 2],
                          [4, 6, 1, 0, 1]],
             'q': '5-10*x-14*x^2+ 24*x^3+ 10*x^4-18*x^5-4*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 144): {'jones': [-1, 7, 2, -3, 5, -7, 7, -6, 5, -3, 1],
             'kauffman': [0,
                          8,
                          [-4, 0, 2, 0, 4, 0, 3],
                          [-5, -3, -2, 0, -2],
                          [-8, 0, -1, 0, 2, 0, -2, 0, -12, 0, -7],
                          [-7, -3, -4, 0, 4, 0, 8],
                          [-8, 0, 1, 0, -6, 0, -2, 0, 8, 0, 3],
                          [-7, -1, 3, 0, -4, 0, -8, 0, -1],
                          [-6, -2, 4, 0, 2, 0, -2],
                          [-5, -1, 3, 0, 4, 0, 1],
                          [-4, -2, 1, 0, 1]],
             'q': '9-4*x-20*x^2+ 8*x^3+ 4*x^4-10*x^5+ 4*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 145): {'jones': [-10, -2, -1, 1, -1, 1, 0, 0, 0, 0, 1],
             'kauffman': [0,
                          8,
                          [4, 10, 2, 0, 1, 0, 1, 0, 1],
                          [5, 11, -1, 0, -2, 0, -6, 0, -5],
                          [4, 10, -4, 0, -2, 0, -4, 0, -6],
                          [7, 11, 8, 0, 18, 0, 10],
                          [4, 10, 1, 0, 0, 0, 9, 0, 10],
                          [7, 11, -6, 0, -12, 0, -6],
                          [8, 10, -6, 0, -6],
                          [7, 11, 1, 0, 2, 0, 1],
                          [8, 10, 1, 0, 1]],
             'q': '5-14*x-16*x^2+ 36*x^3+ 20*x^4-24*x^5-12*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 146): {'jones': [-5, 3, -1, 3, -4, 5, -6, 6, -4, 3, -1],
             'kauffman': [0,
                          8,
                          [0, 0, 1],
                          [-3, 3, -1, 0, -3, 0, -3, 0, -1],
                          [-2, 4, -3, 0, -3, 0, 3, 0, 3],
                          [-3, 5, 1, 0, 6, 0, 12, 0, 5, 0, -2],
                          [-2, 4, 3, 0, 5, 0, -6, 0, -8],
                          [-1, 5, -2, 0, -11, 0, -8, 0, 1],
                          [0, 4, -2, 0, 1, 0, 3],
                          [-1, 3, 1, 0, 4, 0, 3],
                          [0, 2, 1, 0, 1]],
             'q': '1-8*x+ 22*x^3-6*x^4-20*x^5+ 2*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 147): {'jones': [-3, 5, 1, -2, 3, -4, 5, -4, 4, -3, 1],
             'kauffman': [0,
                          8,
                          [-2, 2, -1, 0, -1, 0, -1],
                          [-5, 1, -1, 0, -3, 0, -4, 0, -2],
                          [-6, 2, 1, 0, 0, 0, 1, 0, 6, 0, 4],
                          [-5, 1, 3, 0, 8, 0, 13, 0, 8],
                          [-2, 2, -2, 0, -6, 0, -4],
                          [-3, 1, -6, 0, -14, 0, -8],
                          [-4, 2, 1, 0, -1, 0, -1, 0, 1],
                          [-3, 1, 2, 0, 4, 0, 2],
                          [-2, 0, 1, 0, 1]],
             'q': '-3-10*x+ 12*x^2+ 32*x^3-12*x^4-28*x^5+ 8*x^7+ 2*x^8',
             'symmetry': 'chiral'},
 (10, 148): {'jones': [-8, 0, -1, 2, -4, 5, -5, 6, -4, 3, -1],
             'kauffman': [0,
                          8,
                          [2, 6, 1, 0, 5, 0, 3],
                          [1, 9, -1, 0, -3, 0, -5, 0, -1, 0, 2],
                          [2, 8, -3, 0, -11, 0, -6, 0, 2],
                          [1, 9, 1, 0, 6, 0, 9, 0, 1, 0, -3],
                          [2, 8, 3, 0, 10, 0, 2, 0, -5],
                          [3, 9, -2, 0, -7, 0, -4, 0, 1],
                          [4, 8, -3, 0, -1, 0, 2],
                          [3, 7, 1, 0, 3, 0, 2],
                          [4, 6, 1, 0, 1]],
             'q': '9-8*x-18*x^2+ 14*x^3+ 10*x^4-12*x^5-2*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'chiral'},
 (10, 149): {'jones': [2, 10, 2, -3, 6, -7, 7, -7, 5, -3, 1],
             'kauffman': [0,
                          8,
                          [-8, -4, 1, 0, 4, 0, 4],
                          [-11, -5, 1, 0, 1, 0, -3, 0, -3],
                          [-12, -4, -1, 0, 1, 0, 0, 0, -9, 0, -7],
                          [-11, -5, -4, 0, -1, 0, 5, 0, 2],
                          [-12, -4, 1, 0, -5, 0, -4, 0, 5, 0, 3],
                          [-11, -5, 3, 0, -2, 0, -6, 0, -1],
                          [-10, -6, 4, 0, 3, 0, -1],
                          [-9, -5, 3, 0, 4, 0, 1],
                          [-8, -6, 1, 0, 1]],
             'q': '9-4*x-16*x^2+ 2*x^3-6*x^5+ 6*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'chiral'},
 (10, 150): {'jones': [0, 8, 1, -2, 4, -4, 5, -5, 4, -3, 1],
             'kauffman': [0,
                          8,
                          [-4, -2, -1, 0, -2],
                          [-9, -5, -1, 0, -3, 0, -2],
                          [-10, -2, 1, 0, 1, 0, 3, 0, 8, 0, 5],
                          [-9, -3, 3, 0, 6, 0, 8, 0, 5],
                          [-6, -2, -5, 0, -9, 0, -4],
                          [-7, -3, -5, 0, -12, 0, -7],
                          [-8, -2, 1, 0, 0, 0, 0, 0, 1],
                          [-7, -3, 2, 0, 4, 0, 2],
                          [-6, -4, 1, 0, 1]],
             'q': '-3-6*x+ 18*x^2+ 22*x^3-18*x^4-24*x^5+ 2*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'chiral'},
 (10, 151): {'jones': [-6, 2, -2, 4, -6, 8, -7, 7, -5, 3, -1],
             'kauffman': [0,
                          8,
                          [0, 6, -1, 0, -3, 0, 0, 0, 1],
                          [-1, 7, 1, 0, 2, 0, 1, 0, -3, 0, -3],
                          [0, 6, 4, 0, 10, 0, 4, 0, -2],
                          [-1, 7, -2, 0, -3, 0, 1, 0, 5, 0, 3],
                          [0, 6, -7, 0, -15, 0, -6, 0, 2],
                          [-1, 5, 1, 0, -4, 0, -7, 0, -2],
                          [0, 6, 3, 0, 5, 0, 3, 0, 1],
                          [1, 5, 3, 0, 5, 0, 2],
                          [2, 4, 1, 0, 1]],
             'q': '-3-2*x+ 16*x^2+ 4*x^3-26*x^4-12*x^5+ 12*x^6+ 10*x^7+ 2*x^8',
             'symmetry': 'chiral'},
 (10, 152): {'jones': [4, 13, 1, 0, 1, 1, -2, 2, -3, 2, -2, 1],
             'kauffman': [0,
                          8,
                          [-12, -8, 3, 0, 10, 0, 8],
                          [-15, -9, 2, 0, 1, 0, -11, 0, -10],
                          [-16, -8, -2, 0, -1, 0, -3, 0, -26, 0, -22],
                          [-15, -9, -5, 0, -3, 0, 19, 0, 17],
                          [-16, -8, 1, 0, -1, 0, 2, 0, 25, 0, 21],
                          [-15, -9, 2, 0, 2, 0, -8, 0, -8],
                          [-14, -8, 1, 0, 0, 0, -9, 0, -8],
                          [-11, -9, 1, 0, 1],
                          [-10, -8, 1, 0, 1]],
             'q': '21-18*x-54*x^2+ 28*x^3+ 48*x^4-12*x^5-16*x^6+ 2*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 153): {'jones': [-5, 4, -1, 1, -1, 1, 0, 1, 1, -1, 1, -1],
             'kauffman': [0,
                          8,
                          [-2, 4, 3, 0, 6, 0, 1, 0, -1],
                          [-3, 5, -5, 0, -10, 0, -6, 0, 2, 0, 3],
                          [-2, 4, -7, 0, -12, 0, -2, 0, 3],
                          [-3, 5, 10, 0, 22, 0, 12, 0, -4, 0, -4],
                          [-2, 4, 10, 0, 14, 0, 0, 0, -4],
                          [-3, 5, -6, 0, -13, 0, -7, 0, 1, 0, 1],
                          [-2, 4, -6, 0, -7, 0, 0, 0, 1],
                          [-3, 1, 1, 0, 2, 0, 1],
                          [-2, 0, 1, 0, 1]],
             'q': '9-16*x-18*x^2+ 36*x^3+ 20*x^4-24*x^5-12*x^6+ 4*x^7+ 2*x^8',
             'symmetry': 'chiral'},
 (10, 154): {'jones': [3, 12, 1, 0, 0, 2, -2, 2, -3, 2, -2, 1],
             'kauffman': [0,
                          8,
                          [-12, -6, 1, 0, 2, 0, -2, 0, -4],
                          [-13, -7, -4, 0, -10, 0, -3, 0, 3],
                          [-14, -6, 3, 0, 2, 0, -5, 0, 5, 0, 9],
                          [-13, -7, 10, 0, 21, 0, 9, 0, -2],
                          [-14, -6, -4, 0, -1, 0, 7, 0, -2, 0, -6],
                          [-13, -9, -9, 0, -15, 0, -6],
                          [-14, -6, 1, 0, -3, 0, -5, 0, 0, 0, 1],
                          [-13, -9, 2, 0, 3, 0, 1],
                          [-12, -10, 1, 0, 1]],
             'q': '-3-14*x+ 14*x^2+ 38*x^3-6*x^4-30*x^5-6*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 155): {'jones': [-6, 2, 1, -2, 3, -4, 4, -4, 4, -2, 1],
             'kauffman': [0,
                          8,
                          [0, 4, 3, 0, 4, 0, 2],
                          [3, 5, -2, 0, -2],
                          [-2, 6, 1, 0, -5, 0, -11, 0, -1, 0, 4],
                          [-1, 5, 2, 0, 0, 0, 6, 0, 8],
                          [0, 6, 4, 0, 7, 0, -1, 0, -4],
                          [1, 5, -1, 0, -9, 0, -8],
                          [2, 6, -3, 0, -2, 0, 1],
                          [1, 5, 1, 0, 3, 0, 2],
                          [2, 4, 1, 0, 1]],
             'q': '9-4*x-12*x^2+ 16*x^3+ 6*x^4-18*x^5-4*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 156): {'jones': [-6, 2, -1, 3, -5, 6, -6, 6, -4, 3, -1],
             'kauffman': [0,
                          8,
                          [2, 4, -2, 0, -1],
                          [1, 7, -1, 0, -2, 0, -2, 0, -1],
                          [0, 6, 4, 0, 7, 0, 1, 0, -2],
                          [-1, 7, -2, 0, 3, 0, 8, 0, 4, 0, 1],
                          [0, 6, -8, 0, -9, 0, 2, 0, 3],
                          [-1, 5, 1, 0, -7, 0, -9, 0, -1],
                          [0, 4, 3, 0, 2, 0, -1],
                          [1, 5, 3, 0, 4, 0, 1],
                          [2, 4, 1, 0, 1]],
             'q': '-3-6*x+ 10*x^2+ 14*x^3-12*x^4-16*x^5+ 4*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 157): {'jones': [-10, -2, 1, -4, 6, -8, 9, -8, 7, -4, 2],
             'kauffman': [0,
                          8,
                          [4, 8, 2, 0, 0, 0, -1],
                          [7, 9, 4, 0, 4],
                          [4, 10, -5, 0, 0, 0, 7, 0, 2],
                          [5, 11, -2, 0, -6, 0, -8, 0, -4],
                          [4, 12, 3, 0, -3, 0, -15, 0, -8, 0, 1],
                          [5, 11, 1, 0, -3, 0, 0, 0, 4],
                          [6, 10, 2, 0, 8, 0, 6],
                          [5, 9, 1, 0, 5, 0, 4],
                          [6, 8, 1, 0, 1]],
             'q': '1+ 8*x+ 4*x^2-20*x^3-22*x^4+ 2*x^5+ 16*x^6+ 10*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 158): {'jones': [-4, 4, 1, -3, 6, -7, 8, -8, 6, -4, 2],
             'kauffman': [0,
                          8,
                          [-4, 2, 1, 0, 0, 0, -2, 0, -2],
                          [-3, 1, 2, 0, 1, 0, -1],
                          [-4, 4, -5, 0, -2, 0, 9, 0, 5, 0, -1],
                          [-3, 3, -4, 0, 2, 0, 3, 0, -3],
                          [-4, 4, 3, 0, -1, 0, -13, 0, -8, 0, 1],
                          [-3, 3, 1, 0, -7, 0, -5, 0, 3],
                          [-2, 2, 1, 0, 6, 0, 5],
                          [-3, 1, 1, 0, 5, 0, 4],
                          [-2, 0, 1, 0, 1]],
             'q': '-3+ 2*x+ 6*x^2-2*x^3-18*x^4-8*x^5+ 12*x^6+ 10*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 159): {'jones': [0, 8, -1, 4, -5, 7, -7, 6, -5, 3, -1],
             'kauffman': [0,
                          8,
                          [-6, -2, 1, 0, 1, 0, -1],
                          [-9, -3, 1, 0, 1, 0, 1, 0, 1],
                          [-8, -2, 3, 0, 1, 0, -4, 0, -2],
                          [-9, -1, -2, 0, -1, 0, 0, 0, 0, 0, 1],
                          [-8, -2, -7, 0, -8, 0, 3, 0, 4],
                          [-9, -3, 1, 0, -5, 0, -5, 0, 1],
                          [-8, -6, 3, 0, 3],
                          [-7, -3, 3, 0, 4, 0, 1],
                          [-6, -4, 1, 0, 1]],
             'q': '1+ 4*x-2*x^2-2*x^3-8*x^4-8*x^5+ 6*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 160): {'jones': [0, 7, 1, -2, 3, -3, 4, -3, 3, -2],
             'kauffman': [0,
                          8,
                          [-8, -2, -1, 0, -1, 0, 0, 0, -1],
                          [-9, -3, 2, 0, 0, 0, -3, 0, -1],
                          [-8, -2, 1, 0, 0, 0, 3, 0, 4],
                          [-7, -3, 3, 0, 10, 0, 7],
                          [-8, -2, 1, 0, 2, 0, -3, 0, -4],
                          [-7, -3, -3, 0, -11, 0, -8],
                          [-6, -2, -3, 0, -2, 0, 1],
                          [-7, -3, 1, 0, 3, 0, 2],
                          [-6, -4, 1, 0, 1]],
             'q': '-3-2*x+ 8*x^2+ 20*x^3-4*x^4-22*x^5-4*x^6+ 6*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 161): {'jones': [3, 11, 1, 0, 0, 1, -1, 1, -1, 1, -1],
             'kauffman': [0,
                          6,
                          [-10, -6, 1, 0, -1, 0, -3],
                          [-13, -7, 3, 0, 1, 0, 0, 0, 2],
                          [-12, -6, 3, 0, -3, 0, 3, 0, 9],
                          [-13, -7, -4, 0, -3, 0, 0, 0, -1],
                          [-12, -6, -4, 0, 1, 0, -1, 0, -6],
                          [-13, -11, 1, 0, 1],
                          [-12, -6, 1, 0, 0, 0, 0, 0, 1]],
             'q': '-3+ 6*x+ 12*x^2-8*x^3-10*x^4+ 2*x^5+ 2*x^6',
             'symmetry': 'reversible'},
 (10, 162): {'jones': [-7, 1, 1, -2, 4, -6, 6, -6, 5, -3, 2],
             'kauffman': [0,
                          8,
                          [0, 6, 3, 0, 3, 0, 0, 0, -1],
                          [1, 5, -2, 0, -7, 0, -5],
                          [0, 8, -7, 0, -9, 0, 5, 0, 5, 0, -2],
                          [3, 7, 15, 0, 12, 0, -3],
                          [0, 8, 3, 0, 6, 0, -4, 0, -6, 0, 1],
                          [1, 7, -1, 0, -11, 0, -8, 0, 2],
                          [2, 6, -2, 0, 1, 0, 3],
                          [1, 5, 1, 0, 4, 0, 3],
                          [2, 4, 1, 0, 1]],
             'q': '5-14*x-8*x^2+ 24*x^3-18*x^5+ 2*x^6+ 8*x^7+ 2*x^8',
             'symmetry': 'reversible'},
 (10, 163): {'jones': [-2, 6, -1, 4, -6, 8, -9, 9, -7, 5, -2],
             'kauffman': [0,
                          8,
                          [-6, 0, 1, 0, 2, 0, 1, 0, 1],
                          [-7, -3, -2, 0, -3, 0, -1],
                          [-6, 0, -4, 0, -4, 0, 2, 0, 2],
                          [-7, 1, 3, 0, 7, 0, 8, 0, 3, 0, -1],
                          [-6, 0, 4, 0, 1, 0, -11, 0, -8],
                          [-5, 1, -4, 0, -15, 0, -10, 0, 1],
                          [-6, 0, 1, 0, 0, 0, 3, 0, 4],
                          [-5, -1, 3, 0, 8, 0, 5],
                          [-4, -2, 2, 0, 2]],
             'q': '5-6*x-4*x^2+ 20*x^3-14*x^4-28*x^5+ 8*x^6+ 16*x^7+ 4*x^8',
             'symmetry': 'reversible'},
 (10, 164): {'jones': [-5, 3, -1, 3, -5, 7, -8, 8, -6, 5, -2],
             'kauffman': [0,
                          8,
                          [-2, 2, 1, 0, 3, 0, 1],
                          [-3, 3, -2, 0, -5, 0, -5, 0, -2],
                          [-2, 4, -6, 0, -9, 0, 0, 0, 3],
                          [-3, 5, 3, 0, 10, 0, 16, 0, 7, 0, -2],
                          [-2, 4, 4, 0, 8, 0, -3, 0, -7],
                          [-1, 5, -6, 0, -17, 0, -10, 0, 1],
                          [-2, 4, 1, 0, -3, 0, -1, 0, 3],
                          [-1, 3, 3, 0, 7, 0, 4],
                          [0, 2, 2, 0, 2]],
             'q': '5-14*x-12*x^2+ 34*x^3+ 2*x^4-32*x^5+ 14*x^7+ 4*x^8',
             'symmetry': 'reversible'},
 (10, 165): {'jones': [-9, -1, 1, -3, 4, -6, 7, -6, 6, -4, 2],
             'kauffman': [0,
                          8,
                          [2, 6, -1, 0, 1, 0, 1],
                          [3, 9, -1, 0, -5, 0, -5, 0, -1],
                          [2, 10, 3, 0, 1, 0, -2, 0, 2, 0, 2],
                          [3, 9, 3, 0, 11, 0, 18, 0, 10],
                          [4, 10, -3, 0, -2, 0, -2, 0, -3],
                          [3, 9, 1, 0, -10, 0, -22, 0, -11],
                          [4, 10, 3, 0, -2, 0, -4, 0, 1],
                          [5, 9, 4, 0, 7, 0, 3],
                          [6, 8, 2, 0, 2]],
             'q': '1-12*x+ 6*x^2+ 42*x^3-10*x^4-42*x^5-2*x^6+ 14*x^7+ 4*x^8',
             'symmetry': 'reversible'}}


def names():
    yield (0, 1)
    for n in sorted(COUNTS):
        for k in range(1, COUNTS[n] + 1):
            yield (n, k)