Name | Schub. | Conway Not. | Lex. Deg. | Details |
$12a_{38}$ | 71/33 | $C(2,6,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
56 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,6,1,2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(2,6,1,1,2)$ | $b \geq 16$ |
$\quad D(2,7,2,2)$ | $b \geq 17$ |
$\quad D(3,2,6,2)$ | $b \geq 19$ |
$\quad D(2,5,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{169}$ | 49/23 | $C(2,7,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
56 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,6,1,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(2,7,1,2)$ | $b \geq 16$ |
$\quad D(3,8,2)$ | $b \geq 19$ |
$\quad D(2,6,1,2,2)$ | $b \geq 16$ |
|
$12a_{197}$ | 69/32 | $C(2,6,2,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
149 diagrams of degree $(3,17,19) $. For example |
$\quad C(2,7,-1,-2,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 4 simple diagrams with 15 crossings or fewer |
$\quad D(2,6,2,2)$ | $b \geq 17$ |
$\quad D(2,5,1,3,2)$ | $b \geq 17$ |
$\quad D(3,2,7,2)$ | $b \geq 19$ |
$\quad D(2,4,1,2,3,2)$ | $b \geq 17$ |
|
$12a_{204}$ | 173/76 | $C(2,3,1,1,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,14,22)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,3,1,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,1,1,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{206}$ | 105/47 | $C(2,4,3,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,4,2,1,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(2,4,3,1,2)$ | $b \geq 16$ |
$\quad D(3,4,4,2)$ | $b \geq 19$ |
$\quad D(2,3,1,4,1,2)$ | $b \geq 16$ |
$\quad D(2,4,2,1,2,2)$ | $b \geq 16$ |
|
$12a_{221}$ | 169/66 | $C(2,1,1,3,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,14,22)$ |
8 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,1,1,3,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,1,1,3,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{226}$ | 181/75 | $C(2,2,2,2,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
52 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,2,1,1,-3,-1,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 6 simple diagrams with 13 crossings or fewer |
$\quad D(2,2,3,2,2,2)$ | $b \geq 19$ |
$\quad D(2,2,2,2,1,1,2)$ | $b \geq 16$ |
$\quad D(3,2,2,2,2,2)$ | $b \geq 19$ |
$\quad D(2,1,1,3,2,1,1,2)$ | $b \geq 16$ |
$\quad D(2,2,1,1,3,1,1,2)$ | $b \geq 16$ |
$\quad D(2,2,2,1,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{239}$ | 87/40 | $C(2,5,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,5,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,5,1,2,2)$ | $b \geq 14$ |
|
$12a_{241}$ | 127/57 | $C(2,4,2,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
51 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,4,2,1,2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(2,4,2,1,1,2)$ | $b \geq 16$ |
$\quad D(2,4,3,2,2)$ | $b \geq 16$ |
$\quad D(3,2,2,4,2)$ | $b \geq 19$ |
$\quad D(2,3,1,3,1,1,2)$ | $b \geq 16$ |
$\quad D(2,4,1,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{243}$ | 133/60 | $C(2,4,1,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,4,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,4,1,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{247}$ | 163/71 | $C(2,3,2,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,2,1,-3,-1,-1,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,2,1,1,1,2)$ | $b \geq 16$ |
|
$12a_{251}$ | 159/59 | $C(2,1,2,3,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,1,2,3,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,1,2,3,1,1,2)$ | $b \geq 14$ |
|
$12a_{254}$ | 97/23 | $C(4,4,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
59 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-5,-1,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,4,1,1,2)$ | $b \geq 16$ |
$\quad D(4,4,2,3)$ | $b \geq 19$ |
$\quad D(4,5,2,2)$ | $b \geq 16$ |
$\quad D(4,3,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{255}$ | 107/28 | $C(3,1,4,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,4,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,4,1,1,2)$ | $b \geq 14$ |
|
$12a_{257}$ | 191/80 | $C(2,2,1,1,2,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,2,1,1,2,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,2,1,1,2,1,1,2)$ | $b \geq 14$ |
|
$12a_{259}$ | 115/52 | $C(2,4,1,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,4,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,4,1,2,1,2)$ | $b \geq 14$ |
|
$12a_{300}$ | 155/68 | $C(2,3,1,1,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,3,1,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,1,1,2,1,2)$ | $b \geq 14$ |
|
$12a_{302}$ | 147/61 | $C(2,2,2,3,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
50 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,2,1,1,-4,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(2,2,2,3,1,2)$ | $b \geq 16$ |
$\quad D(3,4,2,2,2)$ | $b \geq 19$ |
$\quad D(2,2,1,1,4,1,2)$ | $b \geq 16$ |
$\quad D(2,2,2,2,1,2,2)$ | $b \geq 16$ |
|
$12a_{303}$ | 153/64 | $C(2,2,1,1,3,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,2,1,1,3,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,2,1,1,3,1,2)$ | $b \geq 14$ |
|
$12a_{306}$ | 147/64 | $C(2,3,2,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,3,2,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,2,1,2,2)$ | $b \geq 14$ |
|
$12a_{307}$ | 157/69 | $C(2,3,1,1,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,3,-2,-1,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,1,1,1,2,2)$ | $b \geq 16$ |
|
$12a_{330}$ | 95/43 | $C(2,4,1,3,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,3,2,-1,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,4,1,3,2)$ | $b \geq 16$ |
|
$12a_{378}$ | 127/45 | $C(2,1,4,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,1,4,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,1,4,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{379}$ | 71/17 | $C(4,5,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
59 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-6,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(4,5,1,2)$ | $b \geq 16$ |
$\quad D(4,6,3)$ | $b \geq 19$ |
$\quad D(4,4,1,2,2)$ | $b \geq 16$ |
|
$12a_{380}$ | 77/20 | $C(3,1,5,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,5,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,5,1,2)$ | $b \geq 14$ |
|
$12a_{384}$ | 151/62 | $C(2,2,3,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,2,2,1,-3,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,2,3,2,1,2)$ | $b \geq 16$ |
|
$12a_{385}$ | 161/66 | $C(2,2,3,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,-2,-1,-3,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,2,3,1,1,1,2)$ | $b \geq 16$ |
|
$12a_{406}$ | 179/74 | $C(2,2,2,1,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,2,1,2,-1,-1,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,2,2,1,1,2,2)$ | $b \geq 16$ |
|
$12a_{425}$ | 81/37 | $C(2,5,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
67 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,4,-1,-4,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 1 simple diagrams with 13 crossings or fewer |
$\quad D(2,5,3,2)$ | $b \geq 16$ |
|
$12a_{437}$ | 149/65 | $C(2,3,2,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,2,1,-3,-2,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,2,2,1,2)$ | $b \geq 16$ |
|
$12a_{447}$ | 121/43 | $C(2,1,4,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,1,4,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,1,4,2,1,2)$ | $b \geq 14$ |
|
$12a_{454}$ | 103/27 | $C(3,1,4,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,3,1,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,4,2,2)$ | $b \geq 16$ |
|
$12a_{471}$ | 85/38 | $C(2,4,4,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
71 diagrams of degree $(3,17,19) $. For example |
$\quad C(2,5,-1,-4,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 1 simple diagrams with 15 crossings or fewer |
$\quad D(2,4,4,2)$ | $b \geq 17$ |
|
$12a_{477}$ | 169/70 | $C(2,2,2,2,2,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
74 diagrams of degree $(3,17,19) $. For example |
$\quad C(2,-3,-3,1,1,2,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 5 simple diagrams with 15 crossings or fewer |
$\quad D(2,2,2,2,2,2)$ | $b \geq 17$ |
$\quad D(2,3,2,3,2,2)$ | $b \geq 19$ |
$\quad D(3,2,3,2,2,2)$ | $b \geq 19$ |
$\quad D(3,2,3,1,1,3,2)$ | $b \geq 19$ |
$\quad D(3,2,3,2,1,1,3)$ | $b \geq 19$ |
|
$12a_{482}$ | 93/22 | $C(4,4,2,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
154 diagrams of degree $(3,17,19) $. For example |
$\quad C(3,1,-5,-3,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 6 simple diagrams with 15 crossings or fewer |
$\quad D(4,4,2,2)$ | $b \geq 17$ |
$\quad D(4,3,1,3,2)$ | $b \geq 17$ |
$\quad D(4,4,1,1,3)$ | $b \geq 17$ |
$\quad D(4,5,2,3)$ | $b \geq 17$ |
$\quad D(4,2,1,2,3,2)$ | $b \geq 17$ |
$\quad D(4,1,1,2,2,3,2)$ | $b \geq 19$ |
|
$12a_{497}$ | 209/81 | $C(2,1,1,2,1,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,1,2,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{498}$ | 207/76 | $C(2,1,2,1,1,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,2,1,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{499}$ | 233/89 | $C(2,1,1,1,1,1,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,13,23)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,1,1,1,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{500}$ | 167/60 | $C(2,1,3,1,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,14,22)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,3,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{501}$ | 199/55 | $C(3,1,1,1,1,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,14,22)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,1,1,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{502}$ | 91/37 | $C(2,2,5,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
58 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,-1,-1,-5,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(2,2,5,1,2)$ | $b \geq 16$ |
$\quad D(3,6,2,2)$ | $b \geq 19$ |
$\quad D(2,2,4,1,2,2)$ | $b \geq 16$ |
|
$12a_{506}$ | 185/68 | $C(2,1,2,1,1,2,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,2,1,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{508}$ | 129/56 | $C(2,3,3,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(2,3,2,1,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(2,3,3,2,2)$ | $b \geq 16$ |
|
$12a_{510}$ | 193/81 | $C(2,2,1,1,1,1,2,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,2,1,1,1,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{511}$ | 125/51 | $C(2,2,4,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
48 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,2,3,1,-2,-2,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(2,2,4,1,1,2)$ | $b \geq 16$ |
$\quad D(3,2,4,2,2)$ | $b \geq 19$ |
$\quad D(2,2,3,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{512}$ | 151/64 | $C(2,2,1,3,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,2,1,3,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{514}$ | 187/79 | $C(2,2,1,2,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,2,1,2,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{517}$ | 145/52 | $C(2,1,3,1,2,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,3,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{518}$ | 157/34 | $C(4,1,1,1,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,14,22)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,1,1,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,1,1,1,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{519}$ | 111/25 | $C(4,2,3,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
61 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,1,1,-4,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,2,3,1,2)$ | $b \geq 16$ |
$\quad D(4,2,4,3)$ | $b \geq 19$ |
$\quad D(4,1,1,4,1,2)$ | $b \geq 16$ |
$\quad D(4,2,2,1,2,2)$ | $b \geq 16$ |
|
$12a_{520}$ | 133/36 | $C(3,1,2,3,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,2,3,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{521}$ | 113/48 | $C(2,2,1,4,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,2,1,4,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{522}$ | 173/73 | $C(2,2,1,2,2,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,2,1,2,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{528}$ | 183/67 | $C(2,1,2,1,2,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,1,2,1,2,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{532}$ | 125/33 | $C(3,1,3,1,2,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,3,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{533}$ | 137/31 | $C(4,2,2,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
49 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-3,-2,-1,-2,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(4,2,2,1,1,2)$ | $b \geq 16$ |
$\quad D(4,2,2,2,3)$ | $b \geq 19$ |
$\quad D(4,2,3,2,2)$ | $b \geq 16$ |
$\quad D(4,1,1,3,1,1,2)$ | $b \geq 16$ |
$\quad D(4,2,1,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{534}$ | 163/44 | $C(3,1,2,2,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,2,2,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{535}$ | 175/47 | $C(3,1,2,1,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,2,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{536}$ | 137/29 | $C(4,1,2,1,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(4,1,2,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{537}$ | 179/50 | $C(3,1,1,2,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,-2,-1,-2,-1,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,1,2,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{538}$ | 83/13 | $C(6,2,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
62 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,1,1,-2,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(6,2,1,1,2)$ | $b \geq 16$ |
$\quad D(6,2,2,3)$ | $b \geq 19$ |
$\quad D(6,3,2,2)$ | $b \geq 16$ |
$\quad D(6,1,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{539}$ | 145/44 | $C(3,3,2,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,2,1,-3,-1,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,3,2,1,1,2)$ | $b \geq 16$ |
|
$12a_{540}$ | 165/49 | $C(3,2,1,2,1,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,2,1,2,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{541}$ | 153/41 | $C(3,1,2,1,2,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,2,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{545}$ | 143/63 | $C(2,3,1,2,2,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(2,3,1,2,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{549}$ | 111/26 | $C(4,3,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,3,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,3,1,2,2)$ | $b \geq 14$ |
|
$12a_{550}$ | 149/34 | $C(4,2,1,1,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,2,1,1,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,2,1,1,1,1,2)$ | $b \geq 14$ |
|
$12a_{551}$ | 103/18 | $C(5,1,2,1,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(5,1,2,1,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(5,1,2,1,1,2)$ | $b \geq 14$ |
|
$12a_{552}$ | 131/30 | $C(4,2,1,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,2,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,2,1,2,1,2)$ | $b \geq 14$ |
|
$12a_{579}$ | 177/49 | $C(3,1,1,1,1,2,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,1,1,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{580}$ | 69/11 | $C(6,3,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
56 diagrams of degree $(3,16,20) $. For example |
$\quad C(7,-1,-2,-2,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(6,3,1,2)$ | $b \geq 16$ |
$\quad D(6,4,3)$ | $b \geq 19$ |
$\quad D(6,2,1,2,2)$ | $b \geq 16$ |
|
$12a_{581}$ | 119/36 | $C(3,3,3,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,2,1,-4,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,3,3,1,2)$ | $b \geq 16$ |
|
$12a_{582}$ | 131/39 | $C(3,2,1,3,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,2,1,3,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{583}$ | 161/45 | $C(3,1,1,2,1,2,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,1,2,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{584}$ | 143/31 | $C(4,1,1,1,1,2,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(4,1,1,1,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{585}$ | 181/50 | $C(3,1,1,1,1,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,1,1,1,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,1,1,1,1,2,2)$ | $b \geq 14$ |
|
$12a_{595}$ | 139/30 | $C(4,1,1,1,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,1,1,1,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,1,1,1,2,1,2)$ | $b \geq 14$ |
|
$12a_{596}$ | 81/14 | $C(5,1,3,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(5,1,3,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(5,1,3,1,2)$ | $b \geq 14$ |
|
$12a_{597}$ | 123/26 | $C(4,1,2,1,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,1,2,1,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,1,2,1,2,2)$ | $b \geq 14$ |
|
$12a_{600}$ | 109/25 | $C(4,2,1,3,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(4,2,1,3,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{601}$ | 127/34 | $C(3,1,2,1,3,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,2,1,3,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,2,1,3,2)$ | $b \geq 14$ |
|
$12a_{643}$ | 99/23 | $C(4,3,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
63 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-4,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(4,3,3,2)$ | $b \geq 16$ |
$\quad D(4,2,1,4,2)$ | $b \geq 16$ |
$\quad D(4,3,2,1,3)$ | $b \geq 16$ |
|
$12a_{644}$ | 113/30 | $C(3,1,3,3,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,3,2,1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,3,3,2)$ | $b \geq 16$ |
|
$12a_{649}$ | 127/27 | $C(4,1,2,2,1,2)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(4,1,2,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{650}$ | 165/46 | $C(3,1,1,2,2,1,2)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,1,2,2,1,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,1,2,2,1,2)$ | $b \geq 14$ |
|
$12a_{651}$ | 97/17 | $C(5,1,2,2,2)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(5,1,2,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{652}$ | 155/46 | $C(3,2,1,2,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,2,1,2,2,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,2,1,2,2,2)$ | $b \geq 14$ |
|
$12a_{682}$ | 107/29 | $C(3,1,2,4,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,2,4,2)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,2,4,2)$ | $b \geq 14$ |
|
$12a_{684}$ | 135/41 | $C(3,3,2,2,2)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,2,1,-3,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,3,2,2,2)$ | $b \geq 16$ |
|
$12a_{690}$ | 89/20 | $C(4,2,4,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
155 diagrams of degree $(3,17,19) $. For example |
$\quad C(3,-1,-3,-3,1,3)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 6 simple diagrams with 15 crossings or fewer |
$\quad D(4,2,4,2)$ | $b \geq 17$ |
$\quad D(4,1,1,5,2)$ | $b \geq 17$ |
$\quad D(4,2,3,1,3)$ | $b \geq 17$ |
$\quad D(5,2,5,2)$ | $b \geq 19$ |
$\quad D(4,2,2,1,2,3)$ | $b \geq 17$ |
$\quad D(4,2,1,1,2,2,3)$ | $b \geq 19$ |
|
$12a_{691}$ | 77/12 | $C(6,2,2,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
161 diagrams of degree $(3,17,19) $. For example |
$\quad C(6,3,-1,-2,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 5 simple diagrams with 15 crossings or fewer |
$\quad D(6,2,2,2)$ | $b \geq 17$ |
$\quad D(6,1,1,3,2)$ | $b \geq 17$ |
$\quad D(6,2,1,1,3)$ | $b \geq 17$ |
$\quad D(6,3,2,3)$ | $b \geq 17$ |
$\quad D(7,2,3,2)$ | $b \geq 19$ |
|
$12a_{713}$ | 139/39 | $C(3,1,1,3,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
58 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,-1,-1,-3,-1,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,1,1,3,2,2)$ | $b \geq 16$ |
$\quad D(3,2,4,2,2)$ | $b \geq 19$ |
$\quad D(4,2,3,2,2)$ | $b \geq 16$ |
$\quad D(3,1,1,2,1,3,2)$ | $b \geq 16$ |
|
$12a_{714}$ | 107/19 | $C(5,1,1,1,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,-2,-1,-3,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(5,1,1,1,2,2)$ | $b \geq 16$ |
$\quad D(5,1,2,3,2)$ | $b \geq 16$ |
$\quad D(5,2,2,2,2)$ | $b \geq 19$ |
$\quad D(6,2,1,2,2)$ | $b \geq 16$ |
$\quad D(5,1,1,1,1,1,3)$ | $b \geq 16$ |
|
$12a_{715}$ | 169/50 | $C(3,2,1,1,1,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,2,1,2,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 6 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,1,1,1,2,2)$ | $b \geq 16$ |
$\quad D(3,2,1,2,3,2)$ | $b \geq 16$ |
$\quad D(3,2,2,2,2,2)$ | $b \geq 19$ |
$\quad D(3,3,2,1,2,2)$ | $b \geq 16$ |
$\quad D(3,1,1,2,1,1,2,2)$ | $b \geq 16$ |
$\quad D(3,2,1,1,1,1,1,3)$ | $b \geq 16$ |
|
$12a_{716}$ | 43/5 | $C(8,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
62 diagrams of degree $(3,16,20) $. For example |
$\quad C(8,1,2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(8,1,1,2)$ | $b \geq 16$ |
$\quad D(8,2,3)$ | $b \geq 19$ |
$\quad D(9,2,2)$ | $b \geq 19$ |
|
$12a_{717}$ | 89/28 | $C(3,5,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,-2,-1,-6,1,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,5,1,1,2)$ | $b \geq 16$ |
$\quad D(3,5,2,3)$ | $b \geq 16$ |
$\quad D(3,6,2,2)$ | $b \geq 19$ |
$\quad D(3,4,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{718}$ | 141/41 | $C(3,2,3,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,3,-1,-2,-2,3)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,3,1,1,2)$ | $b \geq 16$ |
$\quad D(3,2,4,2,2)$ | $b \geq 19$ |
$\quad D(3,1,1,4,1,1,2)$ | $b \geq 16$ |
$\quad D(3,2,2,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{720}$ | 113/21 | $C(5,2,1,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
51 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,2,1,2,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(5,2,1,1,1,2)$ | $b \geq 16$ |
$\quad D(5,2,1,2,3)$ | $b \geq 16$ |
$\quad D(5,2,2,2,2)$ | $b \geq 19$ |
$\quad D(5,3,2,1,2)$ | $b \geq 16$ |
$\quad D(5,1,1,2,1,1,2)$ | $b \geq 16$ |
|
$12a_{721}$ | 171/50 | $C(3,2,2,1,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
51 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,-3,2,1,-3,-3)$, | 15 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 6 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,2,1,1,1,2)$ | $b \geq 16$ |
$\quad D(3,2,2,1,2,3)$ | $b \geq 16$ |
$\quad D(3,2,2,2,2,2)$ | $b \geq 19$ |
$\quad D(3,2,3,2,1,2)$ | $b \geq 17$ |
$\quad D(3,1,1,3,1,1,1,2)$ | $b \geq 16$ |
$\quad D(3,2,1,1,2,1,1,2)$ | $b \geq 16$ |
|
$12a_{722}$ | 29/3 | $C(9,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
79 diagrams of degree $(3,16,20) $. For example |
$\quad C(8,1,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(9,1,2)$ | $b \geq 16$ |
$\quad D(10,3)$ | $b \geq 19$ |
|
$12a_{723}$ | 63/20 | $C(3,6,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
52 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,1,-7,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(3,6,1,2)$ | $b \geq 16$ |
$\quad D(3,5,1,2,2)$ | $b \geq 16$ |
|
$12a_{724}$ | 107/31 | $C(3,2,4,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,1,-5,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,5,2,3)$ | $b \geq 16$ |
$\quad D(3,2,4,1,2)$ | $b \geq 16$ |
$\quad D(3,1,1,5,1,2)$ | $b \geq 16$ |
$\quad D(3,2,3,1,2,2)$ | $b \geq 16$ |
|
$12a_{726}$ | 103/19 | $C(5,2,2,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,1,-3,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(5,2,2,1,2)$ | $b \geq 16$ |
$\quad D(5,2,3,3)$ | $b \geq 17$ |
$\quad D(5,1,1,3,1,2)$ | $b \geq 16$ |
$\quad D(5,2,1,1,2,2)$ | $b \geq 16$ |
|
$12a_{727}$ | 157/46 | $C(3,2,2,2,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
43 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,1,-3,-2,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(3,3,2,2,3)$ | $b \geq 16$ |
$\quad D(3,2,2,2,1,2)$ | $b \geq 16$ |
$\quad D(3,1,1,3,2,1,2)$ | $b \geq 16$ |
$\quad D(3,2,1,1,3,1,2)$ | $b \geq 16$ |
$\quad D(3,2,2,1,1,2,2)$ | $b \geq 17$ |
|
$12a_{728}$ | 133/29 | $C(4,1,1,2,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,1,1,2,1,1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(4,1,1,2,2,2)$ | $b \geq 16$ |
$\quad D(4,2,3,2,2)$ | $b \geq 16$ |
$\quad D(5,2,2,2,2)$ | $b \geq 19$ |
$\quad D(4,1,1,1,1,3,2)$ | $b \geq 16$ |
$\quad D(4,1,1,2,1,1,3)$ | $b \geq 16$ |
|
$12a_{729}$ | 167/46 | $C(3,1,1,1,2,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,-2,-1,-2,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(3,1,1,1,2,2,2)$ | $b \geq 16$ |
$\quad D(3,1,2,3,2,2)$ | $b \geq 16$ |
$\quad D(3,2,2,2,2,2)$ | $b \geq 19$ |
$\quad D(4,2,1,2,2,2)$ | $b \geq 16$ |
$\quad D(3,1,1,1,1,1,3,2)$ | $b \geq 16$ |
|
$12a_{731}$ | 105/22 | $C(4,1,3,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
59 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,1,2,1,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,1,3,2,2)$ | $b \geq 16$ |
$\quad D(5,4,2,2)$ | $b \geq 19$ |
$\quad D(4,1,2,1,3,2)$ | $b \geq 16$ |
$\quad D(4,1,3,1,1,3)$ | $b \geq 16$ |
|
$12a_{732}$ | 95/18 | $C(5,3,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
61 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,3,1,2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(5,3,1,1,2)$ | $b \geq 16$ |
$\quad D(5,3,2,3)$ | $b \geq 16$ |
$\quad D(5,4,2,2)$ | $b \geq 19$ |
$\quad D(5,2,1,2,1,2)$ | $b \geq 16$ |
|
$12a_{733}$ | 73/14 | $C(5,4,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
47 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,3,1,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(5,4,1,2)$ | $b \geq 16$ |
$\quad D(5,5,3)$ | $b \geq 16$ |
$\quad D(5,3,1,2,2)$ | $b \geq 16$ |
|
$12a_{736}$ | 141/43 | $C(3,3,1,1,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,2,1,1,4,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(3,3,1,1,2,2)$ | $b \geq 16$ |
$\quad D(3,3,2,3,2)$ | $b \geq 16$ |
$\quad D(3,4,2,2,2)$ | $b \geq 19$ |
$\quad D(3,2,1,2,1,2,2)$ | $b \geq 16$ |
$\quad D(3,3,1,1,1,1,3)$ | $b \geq 16$ |
|
$12a_{738}$ | 119/37 | $C(3,4,1,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
55 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,1,-5,-1,-1,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(3,4,1,1,1,2)$ | $b \geq 16$ |
$\quad D(3,4,1,2,3)$ | $b \geq 16$ |
$\quad D(3,4,2,2,2)$ | $b \geq 19$ |
$\quad D(3,5,2,1,2)$ | $b \geq 16$ |
$\quad D(3,3,1,2,1,1,2)$ | $b \geq 16$ |
|
$12a_{740}$ | 113/35 | $C(3,4,2,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
47 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,1,-5,-2,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,4,2,1,2)$ | $b \geq 16$ |
$\quad D(3,4,3,3)$ | $b \geq 16$ |
$\quad D(3,3,1,3,1,2)$ | $b \geq 16$ |
$\quad D(3,4,1,1,2,2)$ | $b \geq 16$ |
|
$12a_{743}$ | 79/12 | $C(6,1,1,2,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,-2,-1,-2,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(6,1,1,2,2)$ | $b \geq 16$ |
$\quad D(6,2,3,2)$ | $b \geq 17$ |
$\quad D(7,2,2,2)$ | $b \geq 19$ |
$\quad D(6,1,1,1,1,3)$ | $b \geq 16$ |
|
$12a_{744}$ | 61/8 | $C(7,1,1,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
56 diagrams of degree $(3,16,20) $. For example |
$\quad C(7,1,2,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(7,1,1,1,2)$ | $b \geq 16$ |
$\quad D(7,1,2,3)$ | $b \geq 16$ |
$\quad D(7,2,2,2)$ | $b \geq 19$ |
$\quad D(8,2,1,2)$ | $b \geq 17$ |
|
$12a_{745}$ | 59/8 | $C(7,2,1,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
33 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,1,-3,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(7,2,1,2)$ | $b \geq 16$ |
$\quad D(7,3,3)$ | $b \geq 17$ |
$\quad D(7,1,1,2,2)$ | $b \geq 17$ |
|
$12a_{758}$ | 113/31 | $C(3,1,1,1,4,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
59 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,2,-5,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,1,1,1,4,2)$ | $b \geq 16$ |
$\quad D(3,1,2,5,2)$ | $b \geq 16$ |
$\quad D(3,2,2,4,2)$ | $b \geq 19$ |
$\quad D(4,2,1,4,2)$ | $b \geq 16$ |
|
$12a_{759}$ | 61/9 | $C(6,1,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
61 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,1,2,1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(6,1,3,2)$ | $b \geq 16$ |
$\quad D(7,4,2)$ | $b \geq 19$ |
$\quad D(6,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{760}$ | 111/34 | $C(3,3,1,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
58 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,2,1,-2,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,3,1,3,2)$ | $b \geq 16$ |
$\quad D(3,4,4,2)$ | $b \geq 19$ |
$\quad D(3,2,1,2,3,2)$ | $b \geq 16$ |
$\quad D(3,3,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{761}$ | 139/41 | $C(3,2,1,1,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,3,1,1,3,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 5 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,1,1,3,2)$ | $b \geq 16$ |
$\quad D(3,2,2,4,2)$ | $b \geq 19$ |
$\quad D(3,3,2,3,2)$ | $b \geq 16$ |
$\quad D(3,1,1,2,1,3,2)$ | $b \geq 16$ |
$\quad D(3,2,1,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{762}$ | 51/7 | $C(7,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
66 diagrams of degree $(3,16,20) $. For example |
$\quad C(7,2,1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(7,3,2)$ | $b \geq 16$ |
$\quad D(7,2,1,3)$ | $b \geq 16$ |
|
$12a_{763}$ | 97/30 | $C(3,4,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
40 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,-1,-2,-5,1,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(3,4,3,2)$ | $b \geq 16$ |
$\quad D(3,3,1,4,2)$ | $b \geq 17$ |
$\quad D(3,4,2,1,3)$ | $b \geq 16$ |
|
$12a_{764}$ | 133/39 | $C(3,2,2,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
44 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,2,1,-3,-3,1,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,2,3,2)$ | $b \geq 16$ |
$\quad D(3,1,1,3,3,2)$ | $b \geq 16$ |
$\quad D(3,2,1,1,4,2)$ | $b \geq 16$ |
$\quad D(3,2,2,2,1,3)$ | $b \geq 16$ |
|
$12a_{773}$ | 91/20 | $C(4,1,1,4,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-2,-1,-4,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,1,1,4,2)$ | $b \geq 16$ |
$\quad D(4,2,5,2)$ | $b \geq 17$ |
$\quad D(5,2,4,2)$ | $b \geq 19$ |
$\quad D(4,1,1,3,1,3)$ | $b \geq 16$ |
|
$12a_{774}$ | 89/16 | $C(5,1,1,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,1,-2,-1,-3,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(5,1,1,3,2)$ | $b \geq 16$ |
$\quad D(5,2,4,2)$ | $b \geq 19$ |
$\quad D(6,2,3,2)$ | $b \geq 17$ |
$\quad D(5,1,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{775}$ | 87/16 | $C(5,2,3,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
33 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,2,2,1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(5,2,3,2)$ | $b \geq 16$ |
$\quad D(5,1,1,4,2)$ | $b \geq 17$ |
$\quad D(5,2,2,1,3)$ | $b \geq 16$ |
|
$12a_{791}$ | 63/13 | $C(4,1,5,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
63 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-2,-5,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(4,1,5,2)$ | $b \geq 16$ |
$\quad D(5,6,2)$ | $b \geq 19$ |
$\quad D(4,1,4,1,3)$ | $b \geq 16$ |
|
$12a_{792}$ | 85/24 | $C(3,1,1,5,2)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(2,5,1,2,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(3,1,1,5,2)$ | $b \geq 16$ |
$\quad D(3,2,6,2)$ | $b \geq 19$ |
$\quad D(4,2,5,2)$ | $b \geq 17$ |
|
$12a_{796}$ | 57/11 | $C(5,5,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
46 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,-1,-3,-1,3)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(5,5,2)$ | $b \geq 16$ |
$\quad D(5,4,1,3)$ | $b \geq 16$ |
|
$12a_{797}$ | 83/24 | $C(3,2,5,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
25 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,3,-1,-3,-1,3)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,5,2)$ | $b \geq 16$ |
$\quad D(3,1,1,6,2)$ | $b \geq 17$ |
$\quad D(3,2,4,1,3)$ | $b \geq 17$ |
|
$12a_{802}$ | 47/15 | $C(3,7,2)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
30 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,-2,1,4,1,-3)$, | 15 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(3,7,2)$ | $b \geq 16$ |
$\quad D(3,6,1,3)$ | $b \geq 16$ |
|
$12a_{803}$ | 21/2 | $C(10,2)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
142 diagrams of degree $(3,17,19) $. For example |
$\quad C(3,-1,-7,-1,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 1 simple diagrams with 15 crossings or fewer |
$\quad D(10,2)$ | $b \geq 17$ |
|
$12a_{1023}$ | 127/29 | $C(4,2,1,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
67 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,-2,-1,-2,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,2,1,1,1,3)$ | $b \geq 16$ |
$\quad D(4,2,2,2,3)$ | $b \geq 19$ |
$\quad D(4,3,2,1,3)$ | $b \geq 16$ |
$\quad D(4,1,1,2,1,1,3)$ | $b \geq 16$ |
|
$12a_{1024}$ | 149/40 | $C(3,1,2,1,1,1,3)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,2,1,1,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{1029}$ | 81/19 | $C(4,3,1,4)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
75 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,2,-1,-2,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(4,3,1,4)$ | $b \geq 16$ |
$\quad D(5,4,4)$ | $b \geq 19$ |
|
$12a_{1030}$ | 91/19 | $C(4,1,3,1,3)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(4,1,3,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{1033}$ | 107/25 | $C(4,3,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
64 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,-4,-1,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,3,1,1,3)$ | $b \geq 16$ |
$\quad D(4,3,2,4)$ | $b \geq 17$ |
$\quad D(4,4,2,3)$ | $b \geq 19$ |
$\quad D(4,2,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{1034}$ | 121/32 | $C(3,1,3,1,1,3)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
8 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,1,3,1,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,1,3,1,1,3)$ | $b \geq 14$ |
|
$12a_{1039}$ | 137/37 | $C(3,1,2,2,1,3)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,1,2,2,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{1040}$ | 115/26 | $C(4,2,2,1,3)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
4 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,2,2,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,2,2,1,3)$ | $b \geq 14$ |
|
$12a_{1125}$ | 101/23 | $C(4,2,1,1,4)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
62 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,1,1,3,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(4,2,1,1,4)$ | $b \geq 16$ |
$\quad D(4,3,2,4)$ | $b \geq 17$ |
$\quad D(5,2,2,4)$ | $b \geq 19$ |
|
$12a_{1126}$ | 119/26 | $C(4,1,1,2,1,3)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,1,1,2,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,1,1,2,1,3)$ | $b \geq 14$ |
|
$12a_{1127}$ | 97/22 | $C(4,2,2,4)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
83 diagrams of degree $(3,17,19) $. For example |
$\quad C(3,1,-3,-3,1,3)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 2 simple diagrams with 15 crossings or fewer |
$\quad D(4,2,2,4)$ | $b \geq 17$ |
$\quad D(5,2,3,4)$ | $b \geq 19$ |
|
$12a_{1128}$ | 59/9 | $C(6,1,1,4)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
75 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,-2,-1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(6,1,1,4)$ | $b \geq 16$ |
$\quad D(6,2,5)$ | $b \geq 19$ |
$\quad D(7,2,4)$ | $b \geq 19$ |
|
$12a_{1129}$ | 105/23 | $C(4,1,1,3,3)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
60 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,1,1,4,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(4,1,1,3,3)$ | $b \geq 16$ |
$\quad D(4,2,4,3)$ | $b \geq 19$ |
$\quad D(5,2,3,3)$ | $b \geq 17$ |
|
$12a_{1130}$ | 125/27 | $C(4,1,1,1,2,3)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
63 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,-2,-1,-2,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(4,1,1,1,2,3)$ | $b \geq 16$ |
$\quad D(4,1,2,3,3)$ | $b \geq 16$ |
$\quad D(4,2,2,2,3)$ | $b \geq 19$ |
$\quad D(5,2,1,2,3)$ | $b \geq 16$ |
|
$12a_{1131}$ | 73/11 | $C(6,1,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
64 diagrams of degree $(3,16,20) $. For example |
$\quad C(7,-2,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(6,1,1,1,3)$ | $b \geq 16$ |
$\quad D(6,1,2,4)$ | $b \geq 16$ |
$\quad D(6,2,2,3)$ | $b \geq 19$ |
$\quad D(7,2,1,3)$ | $b \geq 16$ |
|
$12a_{1132}$ | 131/40 | $C(3,3,1,1,1,3)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,-2,-1,-3,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,3,1,1,1,3)$ | $b \geq 16$ |
|
$12a_{1133}$ | 159/47 | $C(3,2,1,1,1,1,3)$ | 13 |
Chebyshev parametrisation of degree $(3,16,20)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,2,1,1,1,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{1134}$ | 53/7 | $C(7,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
76 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,1,-2,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(7,1,1,3)$ | $b \geq 16$ |
$\quad D(7,2,4)$ | $b \geq 19$ |
$\quad D(8,2,3)$ | $b \geq 19$ |
|
$12a_{1135}$ | 103/32 | $C(3,4,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
56 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,1,5,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(3,4,1,1,3)$ | $b \geq 16$ |
$\quad D(3,5,2,3)$ | $b \geq 16$ |
$\quad D(4,2,4,3)$ | $b \geq 19$ |
$\quad D(3,3,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{1136}$ | 147/43 | $C(3,2,2,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
62 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,1,-3,-1,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,2,1,1,3)$ | $b \geq 16$ |
$\quad D(4,2,2,2,3)$ | $b \geq 19$ |
$\quad D(3,2,1,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{1138}$ | 79/14 | $C(5,1,1,1,4)$ | 16 |
Chebyshev parametrisation of degree $(3,16,20)$ |
65 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,-2,-1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(5,2,1,5)$ | $b \geq 16$ |
$\quad D(5,1,1,1,4)$ | $b \geq 16$ |
$\quad D(5,2,2,4)$ | $b \geq 19$ |
$\quad D(6,2,1,4)$ | $b \geq 16$ |
|
$12a_{1139}$ | 101/18 | $C(5,1,1,1,1,3)$ | 14 |
Chebyshev parametrisation of degree $(3,16,20)$ |
7 diagrams of degree $(3,14,22) $. For example |
$\quad C(5,1,1,1,1,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(5,1,1,1,1,3)$ | $b \geq 14$ |
|
$12a_{1140}$ | 97/18 | $C(5,2,1,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
57 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,1,-2,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(5,2,1,1,3)$ | $b \geq 16$ |
$\quad D(5,2,2,4)$ | $b \geq 19$ |
$\quad D(5,3,2,3)$ | $b \geq 16$ |
$\quad D(5,1,1,2,1,3)$ | $b \geq 16$ |
|
$12a_{1145}$ | 79/15 | $C(5,3,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
64 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,2,1,-2,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(5,3,1,3)$ | $b \geq 16$ |
$\quad D(5,4,4)$ | $b \geq 19$ |
$\quad D(5,2,1,2,3)$ | $b \geq 16$ |
|
$12a_{1146}$ | 117/34 | $C(3,2,3,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
51 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,4,-1,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(3,2,3,1,3)$ | $b \geq 16$ |
$\quad D(4,4,2,3)$ | $b \geq 19$ |
$\quad D(3,2,2,1,2,3)$ | $b \geq 16$ |
|
$12a_{1148}$ | 73/23 | $C(3,5,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
59 diagrams of degree $(3,16,20) $. For example |
$\quad C(3,1,6,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(3,5,1,3)$ | $b \geq 16$ |
$\quad D(4,6,3)$ | $b \geq 19$ |
$\quad D(3,4,1,2,3)$ | $b \geq 16$ |
|
$12a_{1149}$ | 35/4 | $C(8,1,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
52 diagrams of degree $(3,16,20) $. For example |
$\quad C(7,1,-2,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(8,1,3)$ | $b \geq 16$ |
$\quad D(9,4)$ | $b \geq 19$ |
|
$12a_{1157}$ | 39/5 | $C(7,1,4)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
68 diagrams of degree $(3,16,20) $. For example |
$\quad C(7,2,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(7,1,4)$ | $b \geq 16$ |
$\quad D(8,5)$ | $b \geq 19$ |
|
$12a_{1158}$ | 77/16 | $C(4,1,4,3)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
5 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,-1,-3,-1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,1,4,3)$ | $b \geq 16$ |
|
$12a_{1159}$ | 113/24 | $C(4,1,2,2,3)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(4,1,2,2,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{1161}$ | 75/14 | $C(5,2,1,4)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(5,2,1,4)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(5,2,1,4)$ | $b \geq 14$ |
|
$12a_{1162}$ | 69/13 | $C(5,3,4)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
54 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,-1,-3,1,4)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(5,3,4)$ | $b \geq 16$ |
$\quad D(5,2,1,5)$ | $b \geq 16$ |
|
$12a_{1163}$ | 103/24 | $C(4,3,2,3)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
3 diagrams of degree $(3,14,22) $. For example |
$\quad C(4,2,1,-3,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(4,3,2,3)$ | $b \geq 16$ |
|
$12a_{1165}$ | 67/16 | $C(4,5,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
36 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,-1,-3,-1,4)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(4,5,3)$ | $b \geq 16$ |
$\quad D(4,4,1,4)$ | $b \geq 16$ |
|
$12a_{1166}$ | 33/4 | $C(8,4)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
172 diagrams of degree $(3,17,19) $. For example |
$\quad C(3,1,-7,-1,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 1 simple diagrams with 15 crossings or fewer |
$\quad D(8,4)$ | $b \geq 17$ |
|
$12a_{1273}$ | 61/11 | $C(5,1,1,5)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
36 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,2,-1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(5,1,1,5)$ | $b \geq 16$ |
$\quad D(6,2,5)$ | $b \geq 19$ |
|
$12a_{1274}$ | 95/17 | $C(5,1,1,2,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
58 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,1,3,-1,-2)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 4 simple diagrams with 13 crossings or fewer |
$\quad D(5,1,1,2,3)$ | $b \geq 16$ |
$\quad D(5,2,3,3)$ | $b \geq 17$ |
$\quad D(6,2,2,3)$ | $b \geq 19$ |
$\quad D(5,1,1,1,1,4)$ | $b \geq 16$ |
|
$12a_{1275}$ | 149/44 | $C(3,2,1,1,2,3)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
2 diagrams of degree $(3,14,22) $. For example |
$\quad C(3,2,1,2,-1,-1,-3)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(3,2,1,1,2,3)$ | $b \geq 16$ |
|
$12a_{1276}$ | 75/13 | $C(5,1,3,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
66 diagrams of degree $(3,16,20) $. For example |
$\quad C(5,1,2,1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 3 simple diagrams with 13 crossings or fewer |
$\quad D(5,1,3,3)$ | $b \geq 16$ |
$\quad D(6,4,3)$ | $b \geq 19$ |
$\quad D(5,1,2,1,4)$ | $b \geq 16$ |
|
$12a_{1277}$ | 121/37 | $C(3,3,1,2,3)$ | 13 |
Chebyshev parametrisation of degree $(3,17,19)$ |
1 diagrams of degree $(3,13,23) $. For example |
$\quad C(3,3,1,2,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 23$ |
|
$12a_{1278}$ | 41/6 | $C(6,1,5)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
65 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,2,-1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(6,1,5)$ | $b \geq 16$ |
$\quad D(7,6)$ | $b \geq 19$ |
|
$12a_{1279}$ | 67/10 | $C(6,1,2,3)$ | 14 |
Chebyshev parametrisation of degree $(3,17,19)$ |
6 diagrams of degree $(3,14,22) $. For example |
$\quad C(6,1,2,3)$, | 12 crossings, | 23 sign changes in the Gauss sequence, | ie $c \leq 22$ |
Braid condition for 1 simple diagrams with 12 crossings or fewer |
$\quad D(6,1,2,3)$ | $b \geq 14$ |
|
$12a_{1281}$ | 109/33 | $C(3,3,3,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
28 diagrams of degree $(3,16,20) $. For example |
$\quad C(4,-1,-3,1,2,3)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 1 simple diagrams with 13 crossings or fewer |
$\quad D(3,3,3,3)$ | $b \geq 16$ |
|
$12a_{1282}$ | 63/10 | $C(6,3,3)$ | 16 |
Chebyshev parametrisation of degree $(3,17,19)$ |
48 diagrams of degree $(3,16,20) $. For example |
$\quad C(6,2,1,-4)$, | 13 crossings, | 22 sign changes in the Gauss sequence, | ie $c \leq 20$ |
Braid condition for 2 simple diagrams with 13 crossings or fewer |
$\quad D(6,3,3)$ | $b \geq 16$ |
$\quad D(6,2,1,4)$ | $b \geq 16$ |
|
$12a_{1287}$ | 37/6 | $C(6,6)$ | 17 |
Chebyshev parametrisation of degree $(3,17,19)$ |
81 diagrams of degree $(3,17,19) $. For example |
$\quad C(7,-1,-3,-1,2)$, | 14 crossings, | 21 sign changes in the Gauss sequence, | ie $c \leq 19$ |
Braid condition for 1 simple diagrams with 15 crossings or fewer |
$\quad D(6,6)$ | $b \geq 17$ |
|