On the classification of graphs induced by a sequence of local complementations of Paley graphs

Zhour Oumazouz1
1Laboratory of mathematics, computer science and applications, Faculty of Science and Technology, Hassan II university, Mohammedia, Morocco

Abstract

The power of the public key cryptosystem based on Paley graphs is due to several mathematical problems namely quadratic residuosity, local equivalence, and identification of the graphs induced by a sequence of local complementations of the Paley graphs. The classification in terms of degree of these induced graphs can be useful in the cryptanalysis part of the proposed public-key cryptosystem based on these algebraic graphs. This work aims to give the exact value of the minimum and maximum degree by local complementation, then the possible classifications in terms of degree to the graphs induced by a sequence of local complementations of Paley graphs of degree p less than or equal to 13 and some information about the equivalence problem.

Keywords: Quadratic residues, Paley graphs, Operation of local complementation, Public-key cryptosystem

1. Introduction

The study of algebraic graphs allows us to benefit from algebraic properties to analyze their properties. The exploitation of certain problems in graph theory can generate new relevant applications in cryptography and coding. The author in [2] showed that algebraically constructed graphs from quadratic residues can be used as a good support to share quantum secrets. In [5] and [6], the authors described and analyzed a secret key encryption algorithm using Paley graphs. In [4], the author described a new relevant public-key cryptosystem based on Paley graphs and the operation of local complementation. The robustness of this public-key cryptosystem is first linked to the quadratic residuosity problem, which is equivalent to the factorization problem and some open problems of graph theory, namely the problem of approximation of minimum and maximum degree by local complementation, the local equivalence problem and that of the characterization of graphs induced by SLC sequence of local complementation. The power of this cryptosystem is based on the study of the complexity of the problems cited above. For the local equivalence problem, Bouchet in [1], proposed an efficient algorithm of polynomial complexity to decide whether a graph is locally parallel to a simple directed graph. This problem remains difficult in the general case. Through the studies established on Paley graphs in [7], we can say that the local equivalence problem parallel to the Paley graph is a difficult problem that requires a study to provide some information about the complexity of the proposed public-key cryptosystem. This work aims to give the exact value of the minimum and maximum degree by local complementation, then the possible classifications in terms of degree to the graphs induced by a sequence of local complementations of Paley graphs of degree p less than or equal to 13 and some information about the equivalence problem. This study can be useful in the cryptanalisis part of the public-key cryptosystem based on Paley graphs and the operation of local complementation.

2. Preliminaries

Let \(G=(V_{G},A_{G})\) be a graph without loops and let \(v\) be a vertex of \(G\). We use the following notations: \[\begin{aligned} &N_{V_{G}}^{+}(v)=\{x\in V_{G} / (v,x)\in A_{G}\},\\ &N_{V_{G}}^{-}(v)=\{x\in V_{G} / (x,v)\in A_{G}\},\\ &X_{1}+X_{2}=\{ X_{1}\cup X_{2}\}-\{ {X_{1}\cap X_{2}}\};\;\; \text{the symmetric difference of $X_{1}$ and $X_{2}$},\\ &N_{V_{G}}(v)=N_{V_{G}}^{+}(v)+N_{V_{G}}^{-}(v);\;\;\; \text{the set of the neighborhood of $v$.} \end{aligned}\]

The Paley graph \(P_{p}=(V,A)\) where \(p=1 \ mod \ 4\) and \(p\in {\mathbb N}\), is an undirected graph of degree \(p\), has a set of vertex \(V={\mathbb Z}_{p}\) (the finite field of order \(p\)), with two vertices \(x\) and \(y\) adjacent if and only if \(x-y\) is a nonzero square in \({\mathbb Z}_{p}\). Paley graph of degree 13 and degree 29 are given in Figures 1 and 2.

Remark 2.1. If \(G\) is an undirected graph and \(u\) is a vertex of \(G\), then \(N_{V_{G}}^{+}(u)=N_{V_{G}}^{-}(u)=N_{V_{G}}(u)\).
If \(G\) is a directed graph and \(u\) is a vertex of \(G\), then \(N_{V_{G}}^{+}(u)\neq N_{V_{G}}^{-}(u)\).

Example 2.2. The Paley graph \(P_{17}=(V,A)\) of degree \(17\) can be defined from the neighborhood set \(N_{V_{ P_{17}}}\) of its vertices in the following way: \[\begin{aligned} &N_{V_{ P_{17}}}(0)=\{1,2,4,8,9,13,15,16\},\\ &N_{V_{ P_{17}}}(1)=\{0,2,3,5,9,10,14,16\},\\ &N_{V_{ P_{17}}}(2)=\{0,1,3,4,6,10,11,15\},\\ &N_{V_{ P_{17}}}(3)=\{1,2,4,5,7,11,12,16\},\\ &N_{V_{ P_{17}}}(4)=\{0,2,3,5,6,8,12,13\},\\ &N_{V_{ P_{17}}}(5)=\{1,3,4,6,7,9,13,14\}, \\ &N_{V_{ P_{17}}}(6)=\{2,4,5,7,8,10,14,15\},\\ &N_{V_{ P_{17}}}(7)=\{3,5,6,8,9,11,15,16\}, \\ &N_{V_{ P_{17}}}(8)=\{0,4,6,7,9,10,12,16\},\\ &N_{V_{ P_{17}}}(9)=\{0,1,5,7,8,10,11,13\},\\ &N_{V_{ P_{17}}}(10)=\{1,2,6,8,9,11,12,14\}, \\ &N_{V_{ P_{17}}}(11)=\{2,3,7,9,10,12,13,15\},\\ &N_{V_{ P_{17}}}(12)=\{3,4,8,10,11,13,14,16\},\\ &N_{V_{ P_{17}}}(13)=\{0,4,5,9,11,12,14,15\},\\ &N_{V_{ P_{17}}}(14)=\{1,5,6,10,12,13,15,16\},\\ &N_{V_{ P_{17}}}(15)=\{0,2,6,7,11,12,13,14,16\},\\ &N_{V_{ P_{17}}}(16)=\{0,1,3,7,8,12,14,15\}. \end{aligned}\]

Proposition 2.3. The Paley graph of degree \(p\) is strong regular graph with parameters \(\left(p, \frac{p-1}{2}, \frac{p-5}{4}, \frac{p-1}{4}\right)\).

Definition 2.4. (Local complementation)The local complementation of a graph \(G=\left(g_{ij}\right)\) at its vertex \(v\), is the graph \(G*v=(g_{ij}^{(1)})\) with the adjacency matrix given by the following formula: \[g_{ij}^{(1)}=\left\lbrace \begin{array}{ll} g_{ij}+ g_{iv}g_{vj} & \mbox{if \ $i\neq j$,}\\ 0 & \mbox{if $i=j$.}\\ \end{array} \right.\]

Proposition 2.5. The operation of local complementation is an equivalence relation.

Proof. We consider \(G=(g_{ij})\), \(G*u=(g_{ij}^{(1)})\) and \(G*u*u=\left(g_{ij}^{(2)}\right)\). We have \[g_{ij}^{(2)}=g_{ij}^{(1)}+g_{iu}^{(1)}g_{uj}^{(1)} =g_{ij}+g_{iu}g_{uj}+(g_{iu}+g_{iu}g_{uu})(g_{vj}+g_{uu}g_{uj})=g_{ij}.\] ◻

The Figures 3 and 4 describes the induced graph by performing a sequence of local complementations to the Paley graph of degree \(p=7\).

The following proposition gives another way to define \(G*v\).

Proposition 2.6. [7] Let \(G=(V_{G},A_{G})\) be the Paley graph of degree \(p\) where \((g_{ij})\) is its adjacency matrix. The adjacency matrix \((g_{ij}^{(1)})\) of \(G*v\) is given by the following formula: \[g_{ij}^{(1)}=\left\lbrace \begin{array}{ll} g_{ij}+ 1 & \mbox{if $i\in N_{V_{G}}^{+}(v), j \in N_{V_{G}}^{-}(v), i \neq j$,}\\ g_{ij} & \mbox{otherwise.}\\ \end{array} \right.\]

Proof. This proposition follows from the fact that The only case in which \(g_{iv}g_{vj}=1\) is when \(i\in N_{V_{G}}^{+}(v)\) and \(j \in N_{V_{G}}^{-}(v)\). ◻

Remark 2.7. If \(G\) is an undirected Paley graph, then \(N_{V_{G}}^{+}(v)=N_{V_{G}}^{-}(v)=N_{V_{G}}(v)\).

As we know that the local complementation is an operation which acts on the neighborhood set of such vertex \(v\), then we can ask for the relationship that exists between the following sets \(N_{G}(u)\) and \(N_{G*v}(u)\), where \(u\) is a vertex of \(V_{G}\).

The following property answers this question.

Proposition 2.8. [7] Let \(G=(V_{G}, A_{G})\) be the Paley graphs of degree \(p\), and let \(G*v\) be the graph induced by the local complementation of \(G\) at its vertex \(v\). If \((u,v)\in A_{G}\), Then \[N_{V_{G*v}}^{-}(u)=N_{V_{G}}^{-}(u),\quad\ and\ \quad\ \ N_{V_{G*v}}^{+}(u)=N_{V_{G}}^{+}(u) + N_{V_{G}}^{+}(v).\]

Proof. 1) Let \((g_{ij})\) be the adjacency matrix of \(G\), and \((g_{ij}^{(1)})\) that of \(G*v\). \[\begin{aligned}[t] \phantom{\iff}&\phantom{0} & i\in N_{V_{G*v}}^{-}(u)& \iff (i,u)\in A_{G*v},\\ & & & \iff g_{ui}^{(1)}=1,\\ & & & \iff g_{ui}+g_{uv}g_{vi}=1,\\ & & &\iff g_{ui}=1 \ since (u,v)\in A_{G},\\ & & & \iff (i,u)\in A_{G},\\ & & & \iff i\in N_{V_{G}}^{-}(u). \end{aligned}\]

2) Assume that \((u,v)\in A_{G}\). By applying the Proposition 2.6, we have \[\begin{aligned}[t] \phantom{\iff}&\phantom{0} & i\in N_{V_{G*v}}^{+}(u)& \iff (u,i)\in A_{G*v},\\ & & & \iff g_{iu}^{(1)}=1,\\ & & & \iff \left\{ \begin{array}{rl} g_{iu}+1 =1 & \mbox{ if $i\in N_{V_{G}}^{+}(v)$,} \\ g_{iu} =1 & \mbox{ otherwise,} \end{array} \right.\\ & & & \iff \left\{ \begin{array}{rl} g_{iu} =0 & \mbox{ if $i\in N_{V_{G}}^{+}(v)$,} \\ g_{iu} =1 & \mbox{ otherwise,} \end{array} \right.\\ & & &\iff i\in N_{V_{G}}^{+}(u)+N_{V_{G}}^{+}(v). \end{aligned}\] Hence the results. ◻

Definition 2.9. The local minimum degree \(\delta_{loc}(G)\) of a graph \(G\) is the minimum degree obtained after SLC sequence of local complementations of \(G\).

Definition 2.10. The local maximum degree \(\Delta_{loc}(G)\) of a graph \(G\) is the maximum degree obtained after SLC sequence of local complementations of \(G\).

Definition 2.11. Let \(G\) and \(F\) be graphs. \(G\) and \(F\) are said to be locally equivalent, If they are related by a sequence of local complementations. We note \(G\equiv_{Loc} F\).

Theorem 2.12. [3] Let \(P_{p}\) be the Paley graph of degree \(p\equiv 1 \ mod \ 4\), a prime number, then \[\delta_{loc}(P_{p})\geq \sqrt{p}-\frac{3}{2} .\]

Remark 2.13. Let \(G\) be a graph of degree \(p\). If \(\delta_{loc}(G) < \sqrt{p}-\frac{3}{2}\), then \(G\not\equiv_{Loc} P_{p}\).

Proof. The result is obtained from the fact that \(\delta_{loc}(P_{p})\geq \sqrt{p}-\frac{3}{2}\). ◻

Result 2.14. Let \(G\) be a graph of degree \(p\). If \(\frac{p-1}{2}\) of its vertices are of degree \(\frac{p+1}{2}\) and \(\frac{p+1}{2}\) of its vertices are of degree \(\frac{p-1}{2}\), then \(G\equiv_{Loc} P_{p}\).

Proof. The result is obtained from the fact that the local complementation of \(G\) at \(v\) consists of replacing the subgraph induced by \(G\) at \(N_{G}(v)\) by the complementary subgraph, and from the fact that the Paley graph of degree \(p\) is strongly regular which each vertex has a degree equal to \(\frac{p-1}{2}\). ◻

The chaotic behavior of the operation of local complementation on \(P_{p}\), which are so far considered to have the highest minimum degree by local complementation, has given rise to a local equivalence problem that can be exploited in classical and quantum cryptography. The resolution of the local equivalence problem in parallel to the Paley graph \(P_{p}\) of degree is related to the type knowledge in terms of degree of the graphs induced after each sequence of local complementations of graph \(P_{p}\).

3. The public-key cryptosystem based on Paley graphs

Let \(N^{+}(u)\) be the neighborhood set of a graph \(G = (V,A)\) at its vertex \(u\) on the right and \({\mathbb Z}_{p}\) be the finite field of order a prime number \(p\).

The Paley graphs represent a constructive family of graphs having the highest minimum degree by local complementation. In quantum cryptography, these graphs can play the role of state graphs to realize the quantum secret sharing protocol. This section is reserved for the description of the public-key cryptosystem proposed in [4]. The author used a new method to exploit Paley algebraic graphs and a chaotic operation in graph theory to encrypt and decrypt a message using public key encryption.

The research conducted in this article provides valuable insights for the cryptanalysis of the proposed public-key cryptosystem based on Paley graphs. By thoroughly examining the structural properties, operational mechanisms, and theoretical underpinnings of the encryption scheme, the study contributes to a deeper understanding of its security framework and potential vulnerabilities. Such analysis is essential for evaluating the cryptosystem’s robustness against various forms of attack and assessing its viability in practical cryptographic applications. To facilitate comprehension of the core mechanisms and operations involved, the procedural steps of this cryptosystem are systematically outlined in the following table.

Bob Alice
Key creation
– Choose \(p=q^r\)
– Choose \(\{s_1,s_2,…,s_t\}\) a secret numbers such that \(1\leq s_i\leq p \ (\forall i\in [|1,t|])\)
– Publish \(p\).
Key exchange
– Choose \(\{s’_{1},s’_{2},…,s’_{t’}\}\) a secret numbers such that \(1\leq s’_i\leq p \ (\forall i\in [|1,t|])\)
– Use the Bob’s public key \(p\), then consider \(P_p\) the Paley graph of degree \(p\).- Send \(G’=P_p*s’_{1}*s’_{2}*…s’_{t’}\) to Bob.
Compute \(G”=G’*s_{1}*s_{2}*…s_{t}\), then send \(G”\) to Alice
Encryption
– Take the binary message \(b_M=b_0b_1…b_k\) corresponding to the plain message \(M\)- Compute \(G=G”*s’_1*s’_2*…s’_{t’}=P_p*s_1*s_2*…s_t\), then consider \(G\)- The encrypted binary message of \(B_M\) is \(B_M”=b’_0 b’_1 …b’_k\) where \(b’_i\equiv b_i+\sum_u\in N_V^+(i \ mod \ p),u\leq k b_u + \sum_u\in N_V^+(i),u>k u \pmod 2\) for \(0\leq i \leq k\).- Send the message \(M’\) corresponding to the binary message \(B’_{M’}\) to Bob.
Decryption
– Take the binary message \(B’_{M’}=b’_0 b’_1 …b’_k\) received from Alice.
– Let \(G=P_p*s_1*…s_t\), then consider \(G\) to be the graph induced by sequence of local complementations of the Paley graph \(P_p\) of degree \(p\) ( \(p\) is the public key) at \(s_1,s_2,..,s_t\); that are secret
– For \(0\leq i \leq k\), use the symmetric key to solve over \(\mathbb{Z}_2\) the linear algebraic equations \(b’_i=b_i+\sum_u\in N_V^+(i \ mod \ p),u\leq k b_u + \sum_u\in N_V^+(i),u>k u\)
– The decrypted message is \(B_M=b_0 b_1 …b_k\). Hence, The decrypted message is \(M\).

4. Classification of the graphs induced by a sequence of local complementations of the Paley graph of degree 7

Let \(p\) be a prime number less than or equal to \(13\). We can characterize a graph by the degree of these vertices. For example, the Paley graph of degree \(p\) is a strong regular graph in which each vertex has degree \(\frac{p-1}{2}\). For \(i\in \{1,2,…,p\}\), we say that the graph \(G\) is of type \([[u_{1},u_{2},…,u_{p}]]\) if this graph has \(p\) vertices, where \(u_{i}\) is the number of vertices that have a degree equal to \(i\). We denote by \(TG_{LC}(n,m)\): the type of graph induced by SLC of the Paley graph of degree \(n\) at \(m\)-vertices two by two distinct and \(N_{G}\): the number of graphs that have the same type.
For example, the graph of type \([[0,1,2,0,2,1,1]]\) is the graph on seven vertices with:

– One vertex is of degree 2.

– Two vertices are of degree 3.

– Two vertices are of degree 5.

– One vertex is of degree 6.

– One vertex is of degree 7.

We denote by \(TG_{LC}(n,m)\) a type of graph induced by a sequence of local complementation of the Paley graph \(G=P_{n}\) of degree \(n\) on some of its \(m\) vertices and \(N_{G}\) the number of graphs has the same type. Using Pari GP and the definition of the operation of the local complementation, we can classify the graphs induced by sequence of local complementations of \(G_{7}\) by executing the program:

The following tables describe all possible types induced after sequence of local complementations of Paley graph of degree \(p={7}\).

\( TG_{LC}(7,1) \) \( N_G \) \( TG_{LC}(7,2) \) \( N_G \)
[0, 0, 4, 3, 0, 0, 0]
7
[0, 1, 2, 3, 0, 1, 0]
21
\( TG_{LC}(7,3) \) \( N_G \) \( TG_{LC}(7,3) \) \( N_G \)
[0, 3, 2, 2, 0, 0, 0]
21
[0, 1, 2, 3, 0, 1, 0]
7
[0, 1, 1, 4, 1, 0, 0]
7
\( TG_{LC}(7,4) \) \( N_G \) \( TG_{LC}(7,4) \) \( N_G \)
[0, 3, 1, 3, 0, 0, 0]
7
[0, 3, 2, 2, 0, 0, 0]
14
[0, 3, 2, 1, 1, 0, 0]
10
[0, 1, 1, 4, 1, 0, 0]
4
\( TG_{LC}(7,5) \) \( N_G \) \( TG_{LC}(7,5) \) \( N_G \)
[0, 3, 1, 3, 0, 0, 0]
3
[0, 3, 1, 1, 2, 0, 0]
8
[0, 3, 2, 2, 0, 0, 0]
4
[0, 3, 1, 2, 1, 0, 0]
2
[0, 3, 2, 1, 1, 0, 0]
4
\( TG_{LC}(7,6) \) \( N_G \) \( TG_{LC}(7,6) \) \( N_G \)
[0, 3, 2, 1, 1, 0, 0]
3
[0, 3, 1, 2, 1, 0, 0]
1
[0, 3, 2, 0, 2, 0, 0]
3
\( TG_{LC}(7,7) \) \( N_G \)
[0, 3, 4, 0, 0, 0, 0]
1

We denote by \(\Delta_{loc}(P_{p})\), the local maximum degree of the Paley graph of degree \(p\).

The number of possible types of graphs induced by SLC of the Paley graph of degree \(7\) is equal to 9.

\(\delta_{loc}(P_{7})=2\) , \(\Delta_{loc}(P_{7})=6\).

5. Classification of the graphs induced by a sequence of local complementations of the Paley graph of degree 11

Using Pari GP and the definition of the operation of the local complementation, we can classify the graph induced by SLC of the Paley graph of degree \(11\) by executing the following program:

The following tables describe all possible types of graphs induced by the sequence of local complementations of the Paley graph of degree \(11\).

\(\mathbf{TG_{LC}(11,1)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,2)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 0, 6, 5, 0, 0, 0, 0, 0, 0]] 11 [[0, 0, 0, 0, 3, 8, 0, 0, 0, 0, 0]] 55
\(\mathbf{TG_{LC}(11,3)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,3)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 0, 1, 9, 1, 0, 0, 0, 0]] 55 [[0, 0, 0, 0, 2, 7, 2, 0, 0, 0, 0]] 55
[[0, 0, 0, 1, 3, 6, 0, 1, 0, 0, 0]] 40 [[0, 0, 0, 2, 2, 6, 0, 0, 1, 0, 0]] 15
\(\mathbf{TG_{LC}(11,4)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,4)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 0, 2, 6, 2, 0, 1, 0, 0]] 55 [[0, 0, 0, 1, 4, 4, 1, 0, 1, 0, 0] 26
[[0, 0, 0, 1, 3, 6, 0, 0, 1, 0, 0]] 25 [[0, 0, 0, 2, 4, 3, 1, 0, 1, 0, 0] 23
[[0, 0, 0, 2, 2, 6, 0, 1, 0, 0, 0]] 22 [[0, 0, 0, 1, 3, 5, 1, 1, 0, 0, 0] 22
[[0, 0, 0, 2, 3, 4, 1, 0, 1, 0, 0]] 20 [[0, 0, 0, 2, 2, 4, 2, 0, 1, 0, 0] 20
[[0, 0, 0, 2, 2, 5, 1, 1, 0, 0, 0]] 20 [[0, 0, 0, 0, 4, 5, 1, 1, 0, 0, 0] 20
[[0, 0, 0, 2, 2, 5, 1, 0, 1, 0, 0]] 20 [[0, 0, 0, 3, 3, 4, 1, 0, 0, 0, 0] 17
[[0, 0, 0, 3, 2, 5, 0, 0, 1, 0, 0]] 15 [[0, 0, 0, 2, 2, 6, 1, 0, 0, 0, 0] 15
[[0, 0, 0, 2, 5, 3, 1, 0, 0, 0, 0]] 10
\(\mathbf{TG_{LC}(11,5)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,5)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 2, 5, 3, 1, 0, 0, 0, 0]] 45 [[0, 0, 0, 2, 5, 4, 0, 0, 0, 0, 0] 30
[[0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 0]] 26 [[0, 0, 0, 3, 3, 4, 1, 0, 0, 0, 0] 22
[[0, 0, 0, 4, 3, 2, 2, 0, 0, 0, 0]] 20 [[0, 0, 0, 1, 5, 3, 1, 0, 1, 0, 0] 19
[[0, 0, 0, 2, 4, 2, 2, 1, 0, 0, 0]] 18 [[0, 0, 0, 1, 4, 3, 2, 0, 1, 0, 0] 15
[[0, 0, 0, 2, 5, 2, 1, 0, 1, 0, 0]] 15 [[0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0] 15
[[0, 0, 0, 2, 4, 4, 1, 0, 0, 0, 0]] 13 [[0, 0, 0, 3, 5, 2, 1, 0, 0, 0, 0] 13
[[0, 0, 0, 0, 0, 7, 3, 0, 1, 0, 0]] 13 [[0, 0, 0, 2, 5, 2, 2, 0, 0, 0, 0] 10
[[0, 0, 0, 2, 2, 3, 3, 0, 1, 0, 0]] 10 [[0, 0, 0, 3, 1, 4, 1, 1, 1, 0, 0] 10
[[0, 0, 0, 0, 1, 5, 4, 0, 1, 0, 0]] 10 [[0, 0, 0, 1, 4, 6, 0, 0, 0, 0, 0] 9
[[0, 0, 0, 1, 4, 4, 2, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 6, 2, 0, 1, 1, 0, 0] 9
[[0, 0, 0, 0, 4, 4, 2, 1, 0, 0, 0]] 9 [[0, 0, 0, 4, 4, 2, 0, 1, 0, 0, 0]] 9
[[0, 0, 0, 2, 4, 3, 2, 0, 0, 0, 0]] 9 [[0, 0, 0, 2, 1, 5, 2, 0, 1, 0, 0]] 8
[[0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 3, 3, 3, 0, 2, 0, 0, 0]] 8
[[0, 0, 0, 1, 4, 3, 1, 1, 1, 0, 0]] 7 [[0, 0, 0, 4, 2, 3, 1, 1, 0, 0, 0]] 7
[[0, 0, 0, 2, 4, 2, 3, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 3, 6, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 2, 5, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 0, 5, 5, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 3, 3, 1, 0, 1, 0, 0]] 6 [[0, 0, 0, 1, 6, 2, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 3, 2, 6, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 4, 3, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 5, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 5, 3, 2, 0, 0, 1, 0, 0]] 3
[[0, 0, 0, 2, 1, 7, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 4, 2, 0, 2, 0, 0, 0]] 2
[[0, 0, 0, 2, 6, 1, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 4, 2, 2, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 4, 3, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 6, 1, 0, 1, 1, 0, 0]] 1
[[0, 0, 0, 4, 4, 0, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 5, 0, 3, 2, 0, 1, 0, 0]] 1
\(\mathbf{TG_{LC}(11,6)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,6)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 2, 5, 2, 2, 0, 0, 0, 0]] 27 [[0, 0, 0, 3, 3, 4, 1, 0, 0, 0, 0]] 22
[[0, 0, 0, 1, 4, 4, 2, 0, 0, 0, 0]] 21 [[0, 0, 0, 3, 3, 2, 2, 1, 0, 0, 0]] 20
[[0, 0, 0, 3, 5, 2, 1, 0, 0, 0, 0]] 17 [[0, 0, 0, 2, 6, 2, 0, 0, 1, 0, 0]] 17
[[0, 0, 0, 2, 6, 1, 1, 1, 0, 0, 0]] 16 [[0, 0, 0, 2, 5, 1, 2, 1, 0, 0, 0]] 16
[[0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 0]] 15 [[0, 0, 0, 1, 6, 3, 1, 0, 0, 0, 0]] 14
[[0, 0, 0, 3, 4, 2, 1, 1, 0, 0, 0]] 14 [[0, 0, 0, 1, 7, 0, 2, 0, 1, 0, 0]] 12
[[0, 0, 0, 0, 6, 3, 2, 0, 0, 0, 0]] 12 [[0, 0, 0, 0, 7, 4, 0, 0, 0, 0, 0]] 11
[[0, 0, 0, 1, 5, 3, 1, 1, 0, 0, 0]] 10 [[0, 0, 0, 2, 5, 1, 1, 2, 0, 0, 0]] 10
[[0, 0, 0, 4, 5, 1, 1, 0, 0, 0, 0]] 10 [[0, 0, 0, 2, 6, 3, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 1, 8, 1, 1, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 6, 4, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 2, 6, 1, 2, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 5, 1, 2, 1, 1, 0, 0]] 8
[[0, 0, 0, 2, 5, 3, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 5, 1, 3, 0, 0, 0, 0]] 6
[[0, 0, 0, 0, 6, 2, 3, 0, 0, 0, 0]] 6 [[0, 0, 0, 3, 4, 2, 2, 0, 0, 0, 0]] 6
[[0, 0, 0, 4, 3, 2, 1, 1, 0, 0, 0]] 6 [[0, 0, 0, 2, 3, 2, 3, 1, 0, 0, 0]] 5
[[0, 0, 0, 0, 3, 6, 1, 0, 1, 0, 0]] 5 [[0, 0, 0, 4, 6, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 4, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 2, 4, 2, 3, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 3, 6, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 4, 4, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0]] 4
[[0, 0, 0, 6, 2, 2, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 6, 1, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 4, 3, 2, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 4, 1, 2, 1, 0, 0, 0]] 4
[[0, 0, 0, 3, 2, 2, 1, 2, 1, 0, 0]] 4 [[0, 0, 0, 0, 5, 2, 2, 1, 1, 0, 0]] 3
[[0, 0, 0, 1, 5, 2, 1, 1, 1, 0, 0]] 3 [[0, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 1, 3, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 6, 2, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 2, 2, 1, 1, 0, 0]] 3 [[0, 0, 0, 2, 5, 2, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 1, 3, 1, 0, 0, 0]] 3 [[0, 0, 0, 3, 4, 1, 1, 2, 0, 0, 0]] 2
[[0, 0, 0, 0, 4, 4, 1, 2, 0, 0, 0]] 2 [[0, 0, 0, 1, 4, 4, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 3, 5, 0, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 7, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 5, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 3, 0, 3, 0, 0, 0]] 2
[[0, 0, 0, 2, 7, 1, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 1, 1, 2, 1, 0, 0]] 2
[[0, 0, 0, 1, 2, 5, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 1, 2, 0, 1, 0, 0]] 2
[[0, 0, 0, 3, 4, 1, 0, 3, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 4, 1, 3, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 3, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 6, 3, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 4, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 6, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 3, 5, 1, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 8, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 3, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 5, 4, 1, 0, 0, 1, 0, 0]] 1
[[0, 0, 0, 4, 4, 1, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 1, 1, 0, 1, 0, 0]] 1
[[0, 0, 0, 2, 5, 0, 2, 2, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 0, 2, 0, 1, 0, 0]] 1
[[0, 0, 0, 4, 2, 2, 3, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(11,7)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,7)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 1, 7, 1, 1, 1, 0, 0, 0]] 28 [[0, 0, 0, 2, 5, 2, 1, 1, 0, 0, 0]] 18
[[0, 0, 0, 0, 6, 3, 1, 1, 0, 0, 0]] 16 [[0, 0, 0, 1, 8, 1, 1, 0, 0, 0, 0]] 12
[[0, 0, 0, 1, 6, 2, 1, 1, 0, 0, 0]] 12 [[0, 0, 0, 1, 6, 1, 1, 2, 0, 0, 0]] 10
[[0, 0, 0, 3, 6, 0, 1, 1, 0, 0, 0]] 9 [[0, 0, 0, 0, 6, 2, 3, 0, 0, 0, 0]] 9
[[0, 0, 0, 0, 5, 4, 1, 1, 0, 0, 0]] 9 [[0, 0, 0, 2, 5, 1, 2, 1, 0, 0, 0]] 8
[[0, 0, 0, 1, 6, 2, 1, 0, 1, 0, 0]] 7 [[0, 0, 0, 2, 5, 1, 1, 2, 0, 0, 0]] 7
[[0, 0, 0, 0, 5, 3, 2, 0, 1, 0, 0]] 7 [[0, 0, 0, 2, 6, 1, 1, 1, 0, 0, 0]] 7
[[0, 0, 0, 4, 3, 2, 2, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 4, 4, 0, 1, 0, 0, 0]] 6
[[0, 0, 0, 1, 6, 1, 1, 1, 1, 0, 0]] 6 [[0, 0, 0, 3, 4, 4, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 8, 1, 0, 0, 1, 0, 0]] 5 [[0, 0, 0, 2, 6, 1, 1, 0, 1, 0, 0]] 5
[[0, 0, 0, 0, 5, 3, 1, 1, 1, 0, 0]] 5 [[0, 0, 0, 3, 3, 3, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 3, 5, 0, 2, 1, 0, 0, 0]] 5 [[0, 0, 0, 3, 4, 2, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 3, 5, 2, 0, 0, 1, 0, 0]] 5 [[0, 0, 0, 4, 6, 0, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 7, 1, 0, 0, 1, 0, 0]] 4 [[0, 0, 0, 1, 8, 0, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 2, 2, 2, 0, 0, 0]] 4 [[0, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 5, 3, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 3, 4, 2, 0, 2, 0, 0, 0]] 4
[[0, 0, 0, 2, 7, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 4, 3, 1, 0, 1, 0, 0]] 4
[[0, 0, 0, 1, 5, 1, 2, 2, 0, 0, 0]] 4 [[0, 0, 0, 5, 2, 0, 1, 3, 0, 0, 0]] 4
[[0, 0, 0, 2, 4, 2, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 3, 6, 1, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 1, 2, 0, 1, 0, 0]] 3 [[0, 0, 0, 3, 6, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 6, 0, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 3, 2, 1, 2, 0, 0, 0]] 3
[[0, 0, 0, 0, 4, 5, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 7, 1, 0, 2, 0, 0, 0]] 3
[[0, 0, 0, 3, 4, 1, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 4, 3, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 6, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 7, 0, 4, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 7, 0, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 7, 0, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 6, 1, 0, 2, 0, 0, 0]] 2 [[0, 0, 0, 5, 4, 0, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 3, 6, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 7, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 5, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 3, 0, 2, 0, 0, 0]] 2
[[0, 0, 0, 0, 3, 6, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 5, 2, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 5, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 5, 0, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 4, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 6, 0, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 4, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 6, 0, 0, 3, 0, 0, 0]] 1
[[0, 0, 0, 1, 7, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 5, 2, 1, 0, 1, 0, 0]] 1
[[0, 0, 0, 2, 3, 3, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 4, 5, 1, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 6, 0, 1, 2, 0, 0, 0]] 1 [[0, 0, 0, 3, 2, 2, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 3, 0, 2, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(11,8)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,8)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 3, 5, 1, 0, 2, 0, 0, 0]] 12 [[0, 0, 0, 0, 7, 2, 1, 1, 0, 0, 0]] 9
[[0, 0, 0, 1, 7, 1, 0, 1, 1, 0, 0]] 8 [[0, 0, 0, 0, 9, 0, 2, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 5, 1, 1, 2, 0, 0, 0]] 7 [[0, 0, 0, 0, 5, 4, 1, 1, 0, 0, 0]] 6
[[0, 0, 0, 1, 7, 1, 0, 2, 0, 0, 0]] 6 [[0, 0, 0, 0, 7, 1, 2, 1, 0, 0, 0]] 6
[[0, 0, 0, 1, 6, 2, 0, 2, 0, 0, 0]] 6 [[0, 0, 0, 2, 7, 1, 0, 1, 0, 0, 0]] 5
[[0, 0, 0, 2, 6, 1, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 1, 6, 2, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 2, 7, 0, 0, 2, 0, 0, 0]] 5 [[0, 0, 0, 0, 6, 3, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 2, 5, 3, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 1, 9, 0, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 1, 5, 3, 0, 2, 0, 0, 0]] 4 [[0, 0, 0, 1, 8, 2, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 5, 2, 0, 2, 0, 0, 0]] 4 [[0, 0, 0, 1, 9, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 6, 3, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 5, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 5, 1, 1, 0, 1, 0, 0]] 3 [[0, 0, 0, 1, 7, 0, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 8, 1, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 7, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 7, 2, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 5, 4, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 6, 3, 1, 0, 1, 0, 0]] 3 [[0, 0, 0, 2, 3, 4, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 7, 0, 1, 1, 1, 0, 0]] 2 [[0, 0, 0, 2, 7, 1, 0, 0, 1, 0, 0]] 2
[[0, 0, 0, 2, 4, 2, 1, 2, 0, 0, 0]] 2 [[0, 0, 0, 1, 7, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 5, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 6, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 6, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 3, 6, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 6, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 6, 0, 0, 3, 0, 0, 0]] 1 [[0, 0, 0, 4, 5, 0, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 8, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 6, 1, 2, 0, 1, 0, 0]] 1
\(\mathbf{TG_{LC}(11,9)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,9)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 0, 9, 2, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 7, 1, 1, 1, 0, 0, 0]] 7
[[0, 0, 0, 0, 6, 1, 0, 3, 1, 0, 0]] 6 [[0, 0, 0, 1, 7, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 0, 3, 5, 0, 3, 0, 0, 0]] 5 [[0, 0, 0, 1, 6, 3, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 2, 1, 1, 0, 0, 0]] 3 [[0, 0, 0, 0, 8, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 5, 4, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 6, 1, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 1, 6, 2, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 8, 1, 0, 0, 1, 0, 0]] 1
[[0, 0, 0, 1, 7, 1, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 2, 5, 3, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 9, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 4, 2, 0, 2, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 2, 1, 2, 0, 0, 0]] 1 [[0, 0, 0, 2, 5, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 4, 2, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 5, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 8, 2, 0, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(11,10)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(11,10)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 0, 5, 4, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 0, 6, 3, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 1, 6, 3, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 6, 2, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 4, 2, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(11,11)}\) \(\mathbf{N_{G}} \)
[[0, 0, 0, 0, 5, 4, 2, 0, 0, 0, 0]] 1

Result 5.1. The number of possible types of graphs induced by SLC of the Paley graph of degree \(11\) is equal to \(207\).

Result 5.2. \(\delta_{loc}(P_{11})=3\), \(\Delta_{loc}(P_{11})=9\).

6. Classification of graphs induced by a sequence of local complementations of Paley graph of degree p=13

Using Pari GP and the definition of the operation of the local complementation, we can classify the graph induced by SLC of the Paley graph of degree \(13\) by executing the following program:

The following tables describe all possible types of graphs induced by a sequence of local complementations of the Paley graph of degree \(11\).

\(\mathbf{TG_{LC}(13,1)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,2)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 0, 0, 7, 6, 0, 0, 0, 0, 0, 0]] 13 [[0, 0, 0, 1, 0, 4, 6, 2, 0, 0, 0, 0, 0]] 78
\(\mathbf{TG_{LC}(13,3)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,3)}\) \(\mathbf{N_{G}}\)
[[ 0, 0, 0, 0, 0, 4, 5, 2, 0, 1, 1, 0, 0]] 39 [[ 0, 0, 0, 2, 0, 3, 6, 2, 0, 0, 0, 0, 0]] 39
[[ 0, 0, 0, 2, 0, 5, 6, 0, 0, 0, 0, 0, 0]] 39 [[ 0, 0, 0, 1, 0, 4, 6, 2, 0, 0, 0, 0, 0] 31
[[ 0, 0, 0, 2, 1, 1, 4, 4, 1, 0, 0, 0, 0]] 26 [[ 0, 0, 0, 3, 0, 3, 3, 3, 1, 0, 0, 0, 0]] 26
[[ 0, 0, 0, 1, 0, 4, 5, 1, 1, 1, 0, 0, 0]] 23 [[ 0, 0, 0, 1, 0, 4, 5, 2, 0, 0, 1, 0, 0] 16
[[ 0, 0, 0, 1, 0, 3, 6, 2, 0, 1, 0, 0, 0]] 16 [[ 0, 0, 0, 1, 1, 6, 5, 0, 0, 0, 0, 0, 0] 15
[[ 0, 0, 0, 0, 0, 4, 5, 1, 1, 2, 0, 0, 0]] 8 [[ 0, 0, 0, 1, 1, 5, 4, 1, 1, 0, 0, 0, 0] 8
\(\mathbf{TG_{LC}(13,4)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,4)}\) \(\mathbf{N_{G}}\)
[[ 0, 0, 0, 2, 1, 6, 3, 1, 0, 0, 0, 0, 0]] 39 [[ 0, 0, 0, 1, 1, 4, 4, 2, 1, 0, 0, 0, 0]] 36
[[ 0, 0, 0, 3, 1, 3, 5, 1, 0, 0, 0, 0, 0]] 35 [[ 0, 0, 0, 1, 1, 3, 4, 3, 1, 0, 0, 0, 0] 32
[[ 0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0]] 32 [[ 0, 0, 0, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0]] 25
[[ 0, 0, 0, 2, 0, 4, 4, 3, 0, 0, 0, 0, 0]] 23 [[ 0, 0, 0, 2, 1, 3, 7, 0, 0, 0, 0, 0, 0]] 23
[[ 0, 0, 0, 3, 0, 3, 6, 1, 0, 0, 0, 0, 0]] 23 [[ 0, 0, 0, 2, 1, 3, 4, 2, 1, 0, 0, 0, 0]] 20
[[ 0, 0, 0, 2, 1, 3, 5, 2, 0, 0, 0, 0, 0]] 18 [[ 0, 0, 0, 5, 4, 0, 0, 4, 0, 0, 0, 0, 0]] 16
[[ 0, 0, 0, 2, 2, 4, 2, 3, 0, 0, 0, 0, 0]] 16 [[ 0, 0, 0, 0, 1, 3, 5, 2, 2, 0, 0, 0, 0]] 16
[[ 0, 0, 0, 3, 0, 2, 5, 2, 1, 0, 0, 0, 0]] 16 [[ 0, 0, 0, 2, 2, 5, 4, 0, 0, 0, 0, 0, 0]] 15
[[ 0, 0, 0, 2, 1, 2, 5, 3, 0, 0, 0, 0, 0]] 15 [[ 0, 0, 0, 3, 1, 1, 4, 3, 1, 0, 0, 0, 0]] 15
[[ 0, 0, 0, 3, 1, 4, 5, 0, 0, 0, 0, 0, 0]] 14 [[ 0, 0, 0, 1, 0, 4, 5, 2, 1, 0, 0, 0, 0]] 14
[[ 0, 0, 0, 1, 0, 2, 5, 3, 1, 1, 0, 0, 0]] 14 [[ 0, 0, 0, 1, 1, 4, 3, 4, 0, 0, 0, 0, 0]] 13
[[ 0, 0, 0, 1, 0, 1, 6, 3, 2, 0, 0, 0, 0]] 13 [[ 0, 0, 0, 1, 2, 6, 2, 0, 2, 0, 0, 0, 0]] 13
[[ 0, 0, 0, 3, 1, 2, 5, 1, 0, 1, 0, 0, 0]] 13 [[ 0, 0, 0, 3, 0, 3, 5, 1, 1, 0, 0, 0, 0]] 11
[[ 0, 0, 0, 2, 1, 4, 5, 1, 0, 0, 0, 0, 0]] 11 [[ 0, 0, 0, 1, 2, 5, 4, 1, 0, 0, 0, 0, 0]] 11
[[ 0, 0, 0, 2, 0, 2, 5, 3, 1, 0, 0, 0, 0]] 11 [[ 0, 0, 0, 0, 1, 4, 5, 3, 0, 0, 0, 0, 0]] 9
[[ 0, 0, 0, 1, 3, 8, 1, 0, 0, 0, 0, 0, 0]] 9 [[ 0, 0, 0, 2, 2, 4, 3, 1, 0, 0, 1, 0, 0]] 9
[[ 0, 0, 0, 0, 2, 5, 3, 2, 0, 0, 1, 0, 0]] 9 [[ 0, 0, 0, 2, 0, 3, 5, 1, 1, 1, 0, 0, 0]] 9
[[ 0, 0, 0, 1, 1, 5, 5, 0, 0, 1, 0, 0, 0]] 9 [[ 0, 0, 0, 1, 3, 7, 1, 0, 0, 1, 0, 0, 0]] 8
[[ 0, 0, 0, 2, 1, 5, 4, 0, 1, 0, 0, 0, 0]] 8 [[ 0, 0, 0, 3, 2, 3, 4, 1, 0, 0, 0, 0, 0]] 8
[[ 0, 0, 0, 1, 1, 3, 5, 3, 0, 0, 0, 0, 0]] 8 [[ 0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0]] 8
[[ 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0]] 8 [[ 0, 0, 0, 2, 0, 4, 6, 0, 0, 1, 0, 0, 0]] 8
[[ 0, 0, 0, 1, 0, 3, 4, 3, 1, 0, 1, 0, 0]] 8 [[ 0, 0, 0, 0, 1, 5, 4, 2, 1, 0, 0, 0, 0]] 7
[[ 0, 0, 0, 2, 2, 3, 4, 1, 0, 1, 0, 0, 0]] 6 [[ 0, 0, 0, 4, 0, 6, 2, 1, 0, 0, 0, 0, 0]] 6
[[ 0, 0, 0, 2, 0, 7, 2, 2, 0, 0, 0, 0, 0]] 5 [[ 0, 0, 0, 4, 1, 2, 5, 1, 0, 0, 0, 0, 0]] 5
[[ 0, 0, 0, 6, 3, 0, 0, 3, 1, 0, 0, 0, 0]] 5 [[ 0, 0, 0, 1, 1, 3, 5, 2, 0, 1, 0, 0, 0]] 5
[[ 0, 0, 0, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0]] 3 [[ 0, 0, 0, 1, 1, 6, 4, 0, 0, 0, 1, 0, 0]] 1
[[ 0, 0, 0, 2, 0, 3, 5, 2, 1, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,5)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,5)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 3, 1, 3, 5, 1, 0, 0, 0, 0, 0]] 39 [[0, 0, 0, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0]] 36
[[0, 0, 0, 2, 1, 3, 5, 2, 0, 0, 0, 0, 0]] 34 [[0, 0, 0, 4, 1, 3, 5, 0, 0, 0, 0, 0, 0]] 31
[[0, 0, 0, 2, 1, 3, 5, 1, 0, 1, 0, 0, 0]] 26 [[0, 0, 0, 1, 3, 4, 5, 0, 0, 0, 0, 0, 0]] 24
[[0, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0]] 21 [[0, 0, 0, 5, 3, 0, 3, 2, 0, 0, 0, 0, 0]] 20
[[0, 0, 0, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0]] 20 [[0, 0, 0, 1, 1, 4, 3, 2, 0, 2, 0, 0, 0]] 19
[[0, 0, 0, 2, 1, 3, 4, 2, 1, 0, 0, 0, 0]] 19 [[0, 0, 0, 3, 1, 3, 4, 1, 1, 0, 0, 0, 0]] 18
[[0, 0, 0, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0]] 18 [[0, 0, 0, 4, 4, 1, 2, 2, 0, 0, 0, 0, 0]] 17
[[0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0]] 17 [[0, 0, 0, 2, 1, 5, 3, 2, 0, 0, 0, 0, 0]] 16
[[0, 0, 0, 1, 2, 3, 3, 2, 0, 1, 1, 0, 0]] 16 [[0, 0, 0, 1, 1, 3, 4, 2, 1, 1, 0, 0, 0]] 16
[[0, 0, 0, 2, 1, 2, 3, 5, 0, 0, 0, 0, 0]] 16 [[0, 0, 0, 1, 1, 2, 4, 3, 0, 1, 1, 0, 0]] 16
[[0, 0, 0, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0]] 16 [[0, 0, 0, 4, 4, 1, 4, 0, 0, 0, 0, 0, 0]] 15
[[0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0]] 15 [[0, 0, 0, 3, 0, 3, 5, 1, 1, 0, 0, 0, 0]] 14
[[0, 0, 0, 2, 4, 4, 0, 3, 0, 0, 0, 0, 0]] 13 [[0, 0, 0, 2, 1, 1, 5, 3, 0, 1, 0, 0, 0]] 13
[[0, 0, 0, 2, 2, 3, 4, 2, 0, 0, 0, 0, 0]] 13 [[0, 0, 0, 2, 2, 5, 4, 0, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 1, 4, 6, 2, 0, 0, 0, 0, 0, 0]] 12 [[0, 0, 0, 1, 2, 4, 2, 2, 2, 0, 0, 0, 0]] 12
[[0, 0, 0, 4, 1, 2, 3, 3, 0, 0, 0, 0, 0]] 12 [[0, 0, 0, 6, 4, 0, 0, 3, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 2, 1, 1, 3, 4, 2, 0, 0, 0, 0]] 12 [[0, 0, 0, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 3, 0, 2, 5, 2, 1, 0, 0, 0, 0]] 12 [[0, 0, 0, 3, 1, 3, 4, 1, 0, 0, 1, 0, 0]] 11
[[0, 0, 0, 3, 1, 4, 4, 0, 0, 0, 1, 0, 0]] 11 [[0, 0, 0, 0, 1, 2, 5, 1, 2, 2, 0, 0, 0]] 11
[[0, 0, 0, 2, 1, 4, 4, 1, 0, 0, 1, 0, 0]] 11 [[0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0]] 11
[[0, 0, 0, 3, 0, 5, 2, 3, 0, 0, 0, 0, 0]] 11 [[0, 0, 0, 4, 0, 4, 3, 1, 1, 0, 0, 0, 0]] 11
[[0, 0, 0, 4, 2, 3, 2, 2, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 3, 3, 4, 3, 0, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 5, 3, 3, 1, 1, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 1, 3, 5, 3, 0, 0, 1, 0, 0, 0]] 10
[[0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 0, 0, 0]] 10 [[0, 0, 0, 2, 2, 3, 4, 1, 0, 1, 0, 0, 0]] 10
[[0, 0, 0, 2, 1, 4, 5, 1, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 0, 2, 5, 2, 1, 2, 0, 0, 0]] 9
[[0, 0, 0, 3, 1, 2, 5, 2, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0]] 9
[[0, 0, 0, 0, 3, 4, 5, 1, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 2, 2, 0, 5, 3, 1, 0, 0, 0, 0]] 9
[[0, 0, 0, 1, 2, 4, 5, 0, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 1, 2, 2, 5, 1, 1, 1, 0, 0, 0]] 8
[[0, 0, 0, 0, 1, 3, 4, 3, 0, 1, 1, 0, 0]] 8 [[0, 0, 0, 2, 2, 5, 2, 1, 0, 1, 0, 0, 0]] 8
[[0, 0, 0, 2, 3, 0, 4, 3, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 3, 0, 5, 2, 2, 0, 1, 0, 0, 0]] 8
[[0, 0, 0, 3, 6, 0, 0, 2, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 0, 2, 4, 2, 1, 1, 1, 0, 0]] 8
[[0, 0, 0, 0, 2, 1, 4, 4, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 3, 1, 4, 2, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 0, 2, 3, 2, 4, 1, 0, 1, 0, 0]] 7 [[0, 0, 0, 1, 0, 5, 2, 4, 0, 1, 0, 0, 0]] 7
[[0, 0, 0, 1, 2, 4, 6, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 2, 4, 2, 3, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 3, 5, 3, 1, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 3, 7, 1, 0, 0, 1, 0, 0, 0]] 7
[[0, 0, 0, 1, 4, 7, 0, 0, 0, 1, 0, 0, 0]] 7 [[0, 0, 0, 1, 3, 3, 2, 3, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 1, 4, 3, 2, 1, 0, 1, 0, 0]] 7 [[0, 0, 0, 1, 2, 4, 4, 1, 0, 1, 0, 0, 0]] 7
[[0, 0, 0, 3, 1, 2, 5, 1, 0, 1, 0, 0, 0]] 7 [[0, 0, 0, 3, 2, 3, 3, 1, 0, 0, 1, 0, 0]] 7
[[0, 0, 0, 3, 1, 4, 5, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 1, 4, 6, 0, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0]] 7 [[0, 0, 0, 0, 2, 3, 5, 2, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 2, 0, 5, 2, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 5, 0, 5, 2, 1, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 6, 4, 0, 0, 2, 0, 0, 0, 0]] 6 [[0, 0, 0, 3, 3, 4, 1, 2, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 3, 3, 4, 0, 1, 1, 0, 0, 0]] 6 [[0, 0, 0, 0, 2, 4, 4, 1, 2, 0, 0, 0, 0]] 6
[[0, 0, 0, 0, 0, 3, 4, 3, 1, 1, 1, 0, 0]] 6 [[0, 0, 0, 2, 1, 5, 2, 0, 1, 2, 0, 0, 0]] 6
[[0, 0, 0, 2, 0, 4, 2, 2, 2, 1, 0, 0, 0]] 6 [[0, 0, 0, 2, 1, 2, 5, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 0, 4, 4, 2, 0, 2, 0, 0, 0]] 5 [[0, 0, 0, 0, 1, 2, 4, 4, 0, 1, 1, 0, 0]] 5
[[0, 0, 0, 2, 0, 4, 2, 4, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 3, 5, 0, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 1, 2, 5, 4, 1, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 6, 1, 1, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 0, 3, 5, 3, 0, 2, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 1, 3, 7, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 3, 1, 3, 2, 2, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 1, 4, 4, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 0, 2, 6, 1, 2, 2, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 7, 2, 0, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 5, 2, 0, 0, 1, 1, 0, 0]] 4
[[0, 0, 0, 5, 4, 2, 2, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 1, 2, 4, 3, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 4, 2, 0, 2, 1, 0, 0, 0]] 4 [[0, 0, 0, 0, 3, 5, 3, 1, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 3, 3, 1, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 1, 1, 2, 4, 2, 1, 2, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 2, 4, 3, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 0, 2, 4, 3, 0, 3, 1, 0, 0, 0]] 4
[[0, 0, 0, 3, 0, 4, 3, 2, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 1, 3, 4, 3, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 3, 6, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 1, 3, 5, 0, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 0, 1, 3, 3, 3, 1, 1, 1, 0, 0]] 4 [[0, 0, 0, 2, 2, 5, 3, 0, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 4, 0, 6, 2, 0, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 3, 1, 2, 3, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 2, 5, 3, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 3, 0, 3, 5, 0, 1, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 0, 3, 6, 2, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 2, 3, 3, 3, 0, 0, 1, 0, 0]] 3 [[0, 0, 0, 0, 3, 4, 4, 0, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 6, 1, 1, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 2, 5, 1, 1, 2, 0, 0, 0]] 3
[[0, 0, 0, 1, 2, 2, 2, 4, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 2, 2, 2, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 5, 3, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 4, 3, 1, 0, 0, 1, 0, 0]] 2
[[0, 0, 0, 3, 2, 2, 4, 1, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 5, 3, 0, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 5, 4, 2, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 2, 4, 2, 0, 1, 1, 0, 0]] 2
[[0, 0, 0, 1, 0, 2, 4, 2, 2, 2, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 2, 5, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 3, 3, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 4, 2, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 6, 3, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 2, 1, 3, 3, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 2, 3, 4, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 3, 3, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 6, 3, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 6, 3, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 5, 4, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 0, 4, 2, 5, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 0, 2, 5, 3, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 5, 3, 0, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 6, 2, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 6, 3, 0, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 2, 4, 1, 3, 2, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 4, 1, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 6, 2, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 0, 6, 2, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 3, 3, 2, 1, 0, 1, 0, 0]] 1
\(\mathbf{TG_{LC}(13,6)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,6)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 4, 3, 2, 3, 1, 0, 0, 0, 0, 0]] 50 [[0, 0, 0, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0]] 44
[[0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 0, 0]] 43 [[0, 0, 0, 1, 3, 2, 5, 2, 0, 0, 0, 0, 0]] 36
[[0, 0, 0, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0]] 31 [[0, 0, 0, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0]] 23
[[0, 0, 0, 3, 2, 2, 4, 2, 0, 0, 0, 0, 0]] 21 [[0, 0, 0, 2, 2, 2, 5, 1, 1, 0, 0, 0, 0]] 21
[[0, 0, 0, 4, 1, 4, 3, 1, 0, 0, 0, 0, 0]] 19 [[0, 0, 0, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0]] 19
[[0, 0, 0, 2, 4, 2, 4, 1, 0, 0, 0, 0, 0]] 17 [[0, 0, 0, 3, 2, 4, 2, 2, 0, 0, 0, 0, 0]] 17
[[0, 0, 0, 3, 2, 3, 3, 1, 1, 0, 0, 0, 0]] 17 [[0, 0, 0, 1, 5, 4, 2, 0, 1, 0, 0, 0, 0]] 15
[[0, 0, 0, 5, 4, 2, 0, 2, 0, 0, 0, 0, 0]] 15 [[0, 0, 0, 3, 2, 3, 4, 1, 0, 0, 0, 0, 0]] 15
[[0, 0, 0, 3, 2, 4, 3, 0, 1, 0, 0, 0, 0]] 14 [[0, 0, 0, 6, 5, 0, 1, 1, 0, 0, 0, 0, 0]] 14
[[0, 0, 0, 2, 3, 1, 4, 1, 1, 1, 0, 0, 0]] 14 [[0, 0, 0, 2, 3, 2, 5, 1, 0, 0, 0, 0, 0]] 14
[[0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 0, 0, 0]] 14 [[0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0]] 13
[[0, 0, 0, 2, 4, 3, 4, 0, 0, 0, 0, 0, 0]] 13 [[0, 0, 0, 3, 1, 4, 3, 2, 0, 0, 0, 0, 0]] 13
[[0, 0, 0, 1, 3, 3, 2, 2, 1, 1, 0, 0, 0]] 13 [[0, 0, 0, 3, 7, 2, 0, 0, 1, 0, 0, 0, 0]] 13
[[0, 0, 0, 1, 3, 3, 3, 2, 0, 1, 0, 0, 0]] 13 [[0, 0, 0, 2, 1, 2, 4, 3, 1, 0, 0, 0, 0]] 13
[[0, 0, 0, 2, 2, 4, 2, 2, 0, 1, 0, 0, 0]] 13 [[0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0]] 12
[[0, 0, 0, 1, 1, 4, 4, 2, 1, 0, 0, 0, 0]] 12 [[0, 0, 0, 1, 1, 3, 4, 2, 1, 1, 0, 0, 0]] 12
[[0, 0, 0, 3, 5, 0, 2, 2, 1, 0, 0, 0, 0]] 12 [[0, 0, 0, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0]] 12
[[0, 0, 0, 0, 3, 3, 4, 2, 1, 0, 0, 0, 0]] 12 [[0, 0, 0, 4, 3, 3, 2, 0, 1, 0, 0, 0, 0]] 12
[[0, 0, 0, 4, 2, 5, 2, 0, 0, 0, 0, 0, 0]] 11 [[0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 0, 0]] 11
[[0, 0, 0, 2, 2, 2, 3, 2, 1, 1, 0, 0, 0]] 11 [[0, 0, 0, 1, 2, 4, 3, 2, 1, 0, 0, 0, 0]] 10
[[0, 0, 0, 3, 2, 2, 6, 0, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 4, 1, 4, 2, 1, 1, 0, 0, 0, 0]] 10
[[0, 0, 0, 1, 2, 1, 5, 3, 1, 0, 0, 0, 0]] 10 [[0, 0, 0, 2, 2, 2, 6, 1, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 3, 2, 2, 5, 0, 1, 0, 0, 0, 0]] 10 [[0, 0, 0, 3, 3, 1, 3, 2, 0, 1, 0, 0, 0]] 10
[[0, 0, 0, 2, 3, 0, 3, 3, 2, 0, 0, 0, 0]] 10 [[0, 0, 0, 2, 2, 2, 4, 2, 0, 1, 0, 0, 0]] 10
[[0, 0, 0, 3, 2, 2, 3, 2, 1, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 2, 2, 5, 2, 0, 0, 1, 0, 0]] 9
[[0, 0, 0, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0]] 9 [[0, 0, 0, 1, 3, 4, 2, 2, 1, 0, 0, 0, 0]] 9
[[0, 0, 0, 2, 1, 3, 4, 2, 1, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 2, 2, 4, 2, 2, 0, 0, 0, 0]] 9
[[0, 0, 0, 1, 4, 3, 2, 0, 2, 1, 0, 0, 0]] 9 [[0, 0, 0, 3, 3, 4, 3, 0, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 4, 1, 5, 3, 0, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 3, 3, 2, 1, 4, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 4, 2, 3, 2, 1, 0, 1, 0, 0, 0]] 8 [[0, 0, 0, 3, 2, 4, 1, 1, 0, 1, 1, 0, 0]] 8
[[0, 0, 0, 1, 4, 5, 1, 1, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 3, 3, 2, 5, 0, 0, 0, 0, 0, 0]] 8
[[0, 0, 0, 4, 5, 1, 0, 2, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 3, 1, 1, 4, 2, 0, 0, 0, 0]] 8
[[0, 0, 0, 1, 4, 5, 2, 1, 0, 0, 0, 0, 0]] 8 [[0, 0, 0, 1, 4, 4, 3, 0, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 3, 2, 2, 2, 4, 0, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 2, 3, 3, 1, 1, 1, 0, 0, 0]] 8
[[0, 0, 0, 4, 3, 2, 2, 1, 0, 0, 1, 0, 0]] 8 [[0, 0, 0, 2, 3, 2, 1, 3, 2, 0, 0, 0, 0]] 8
[[0, 0, 0, 3, 3, 0, 3, 2, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 4, 2, 3, 3, 0, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 4, 2, 4, 2, 1, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 2, 7, 2, 1, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 3, 4, 3, 0, 2, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 2, 2, 5, 2, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 0, 4, 3, 4, 2, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 5, 3, 2, 0, 1, 1, 0, 0, 0]] 7 [[0, 0, 0, 1, 1, 3, 3, 4, 0, 1, 0, 0, 0]] 7
[[0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0]] 7 [[0, 0, 0, 4, 3, 5, 1, 0, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 0, 5, 5, 3, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 3, 3, 2, 3, 2, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 3, 6, 1, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 3, 4, 4, 0, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 4, 6, 0, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 3, 2, 2, 2, 0, 1, 1, 0, 0]] 7 [[0, 0, 0, 1, 3, 2, 3, 1, 1, 1, 1, 0, 0]] 7
[[0, 0, 0, 2, 2, 2, 4, 1, 2, 0, 0, 0, 0]] 7 [[0, 0, 0, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 3, 6, 1, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 0, 1, 1, 5, 3, 2, 1, 0, 0, 0]] 6 [[0, 0, 0, 0, 6, 5, 2, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 5, 2, 4, 2, 0, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 0]] 6
[[0, 0, 0, 2, 2, 1, 3, 3, 1, 1, 0, 0, 0]] 6 [[0, 0, 0, 2, 4, 5, 1, 0, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 1, 2, 4, 2, 1, 1, 0, 0, 0]] 6 [[0, 0, 0, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 2, 5, 2, 1, 0, 1, 0, 0, 0]] 6 [[0, 0, 0, 2, 4, 5, 0, 1, 0, 1, 0, 0, 0]] 6
[[0, 0, 0, 4, 6, 0, 2, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 3, 2, 4, 2, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 3, 1, 5, 2, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 1, 3, 5, 3, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 2, 1, 1, 5, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 2, 1, 3, 3, 2, 0, 2, 0, 0, 0]] 6
[[0, 0, 0, 1, 2, 1, 5, 2, 1, 1, 0, 0, 0]] 6 [[0, 0, 0, 4, 1, 2, 4, 1, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 3, 3, 2, 3, 0, 0, 1, 0, 0]] 6 [[0, 0, 0, 2, 1, 2, 5, 1, 1, 0, 1, 0, 0]] 5
[[0, 0, 0, 2, 2, 5, 1, 2, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 1, 3, 3, 4, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 2, 4, 2, 3, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 0, 2, 3, 5, 1, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 4, 0, 4, 2, 3, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 1, 3, 3, 2, 0, 1, 0, 0, 0]] 5
[[0, 0, 0, 2, 1, 6, 1, 3, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 1, 5, 1, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 1, 2, 4, 3, 0, 0, 1, 0, 0]] 5 [[0, 0, 0, 4, 0, 4, 1, 3, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 1, 2, 4, 0, 3, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 2, 2, 4, 3, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 0, 2, 2, 4, 4, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 0, 3, 3, 3, 1, 2, 1, 0, 0, 0]] 5
[[0, 0, 0, 1, 3, 1, 5, 3, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 2, 0, 4, 3, 2, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 2, 1, 5, 1, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 4, 3, 2, 1, 3, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 4, 5, 2, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 4, 4, 2, 1, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 5, 3, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 1, 3, 5, 1, 2, 1, 0, 0, 0]] 4
[[0, 0, 0, 1, 1, 7, 2, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 2, 4, 4, 3, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 3, 5, 0, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 6, 2, 0, 1, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 5, 1, 4, 1, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 5, 5, 0, 1, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 0, 2, 5, 2, 3, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 1, 2, 4, 3, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 0, 3, 3, 3, 4, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 3, 4, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 2, 3, 2, 2, 1, 1, 1, 0, 0]] 4
[[0, 0, 0, 2, 2, 1, 4, 3, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 3, 1, 4, 2, 2, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 5, 2, 1, 4, 1, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 1, 4, 5, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 1, 4, 3, 2, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 4, 5, 0, 0, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 4, 1, 1, 2, 4, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 2, 3, 4, 4, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 2, 2, 3, 2, 1, 0, 0, 0]] 4 [[0, 0, 0, 6, 1, 4, 1, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 1, 2, 6, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 2, 1, 6, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 4, 0, 4, 3, 1, 0, 0, 1, 0, 0]] 3 [[0, 0, 0, 2, 0, 4, 2, 3, 1, 0, 1, 0, 0]] 3
[[0, 0, 0, 1, 1, 5, 3, 2, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 0, 3, 5, 2, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 2, 2, 6, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 3, 3, 3, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 0, 4, 2, 3, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 2, 1, 5, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 4, 4, 1, 0, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 5, 0, 4, 2, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 2, 5, 1, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 6, 0, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 6, 3, 1, 1, 2, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 3, 5, 3, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 2, 4, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 1, 4, 5, 1, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 1, 3, 4, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 4, 2, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 3, 3, 3, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0]] 3 [[0, 0, 0, 3, 3, 4, 2, 0, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 0, 3, 5, 0, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 0, 3, 5, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 0, 2, 6, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 0, 2, 5, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 5, 2, 1, 1, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 1, 2, 5, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 2, 0, 6, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 0, 5, 1, 2, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 4, 0, 2, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 1, 1, 6, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 4, 1, 1, 4, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 5, 4, 0, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 1, 2, 4, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 1, 2, 3, 4, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 2, 4, 1, 2, 2, 0, 0, 0]] 3
[[0, 0, 0, 1, 2, 2, 3, 2, 1, 2, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 5, 3, 2, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 0, 2, 3, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 0, 2, 4, 3, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 1, 2, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 2, 6, 2, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 3, 3, 5, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 5, 6, 0, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 4, 2, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 1, 4, 4, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 3, 3, 2, 2, 2, 0, 0, 1, 0, 0]] 2 [[0, 0, 0, 2, 2, 1, 6, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 1, 3, 2, 0, 2, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 1, 2, 5, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 6, 2, 2, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 5, 4, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 2, 2, 3, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 0, 2, 6, 1, 2, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 2, 4, 2, 1, 0, 0, 1, 0]] 2 [[0, 0, 0, 4, 2, 3, 4, 0, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 2, 3, 3, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 4, 1, 1, 0, 2, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 5, 1, 1, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 4, 3, 2, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 0, 2, 2, 4, 3, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 5, 2, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 1, 5, 2, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 2, 2, 3, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 0, 4, 0, 1, 4, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 6, 2, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 3, 1, 3, 1, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 0, 2, 4, 3, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 2, 2, 1, 4, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 3, 2, 3, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 3, 2, 2, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 0, 3, 5, 2, 1, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 4, 3, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 4, 3, 0, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 7, 1, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 7, 2, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 3, 5, 0, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 1, 6, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 5, 3, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 0, 4, 4, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 3, 4, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 4, 2, 1, 2, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 2, 2, 4, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 2, 4, 3, 2, 0, 1, 0, 0]] 1
[[0, 0, 0, 1, 3, 1, 2, 3, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 4, 1, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 4, 2, 2, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 4, 4, 0, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 4, 2, 2, 2, 0, 1, 0, 0]] 1
[[0, 0, 0, 2, 3, 2, 3, 2, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 3, 3, 2, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 3, 3, 0, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 3, 3, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 0, 2, 5, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 3, 2, 1, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 5, 3, 1, 1, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 5, 2, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 4, 3, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 5, 1, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 0, 2, 3, 1, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 3, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 3, 2, 1, 2, 2, 0, 0, 0]] 1
[[0, 0, 0, 0, 5, 5, 2, 0, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 0, 4, 4, 1, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 3, 5, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 2, 1, 4, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 1, 2, 4, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 4, 3, 0, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 3, 2, 3, 0, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,7)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,7)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 3, 3, 2, 3, 2, 0, 0, 0, 0, 0]] 28 [[0, 0, 0, 3, 3, 4, 3, 0, 0, 0, 0, 0, 0]] 22
[[0, 0, 0, 4, 5, 2, 1, 1, 0, 0, 0, 0, 0]] 20 [[0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 0, 0]] 17
[[0, 0, 0, 2, 3, 4, 2, 1, 1, 0, 0, 0, 0]] 17 [[0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 0, 0, 0]] 16
[[0, 0, 0, 3, 4, 2, 4, 0, 0, 0, 0, 0, 0]] 15 [[0, 0, 0, 2, 4, 2, 3, 1, 1, 0, 0, 0, 0]] 14
[[0, 0, 0, 3, 3, 1, 4, 1, 1, 0, 0, 0, 0]] 14 [[0, 0, 0, 1, 3, 2, 4, 2, 1, 0, 0, 0, 0]] 13
[[0, 0, 0, 4, 2, 3, 2, 2, 0, 0, 0, 0, 0]] 12 [[0, 0, 0, 3, 2, 4, 2, 2, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 3, 4, 2, 2, 2, 0, 0, 0, 0, 0]] 12 [[0, 0, 0, 2, 6, 2, 2, 1, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 3, 3, 5, 1, 1, 0, 0, 0, 0, 0]] 11 [[0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0]] 11
[[0, 0, 0, 2, 3, 2, 4, 0, 1, 1, 0, 0, 0]] 11 [[0, 0, 0, 1, 6, 4, 2, 0, 0, 0, 0, 0, 0]] 11
[[0, 0, 0, 3, 3, 2, 3, 1, 0, 1, 0, 0, 0]] 11 [[0, 0, 0, 2, 3, 2, 2, 3, 1, 0, 0, 0, 0]] 11
[[0, 0, 0, 3, 3, 1, 3, 1, 2, 0, 0, 0, 0]] 10 [[0, 0, 0, 4, 3, 4, 1, 1, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 2, 5, 4, 1, 1, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 1, 4, 2, 4, 2, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 2, 4, 1, 4, 2, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 2, 4, 3, 4, 0, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 3, 5, 1, 3, 1, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 3, 3, 2, 5, 0, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 4, 2, 2, 4, 1, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0]] 9 [[0, 0, 0, 5, 6, 0, 2, 0, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 4, 2, 4, 2, 0, 0, 1, 0, 0, 0]] 8 [[0, 0, 0, 4, 1, 4, 2, 1, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 4, 3, 5, 1, 0, 0, 0, 0, 0, 0]] 8 [[0, 0, 0, 3, 2, 3, 2, 3, 0, 0, 0, 0, 0]] 8
[[0, 0, 0, 2, 2, 2, 4, 1, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 2, 3, 1, 4, 2, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 3, 5, 4, 1, 0, 0, 0, 0, 0, 0]] 8
[[0, 0, 0, 2, 2, 2, 2, 3, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 1, 4, 1, 2, 3, 2, 0, 0, 0, 0]] 8
[[0, 0, 0, 2, 5, 1, 2, 1, 1, 1, 0, 0, 0]] 8 [[0, 0, 0, 1, 3, 3, 2, 1, 1, 2, 0, 0, 0]] 8
[[0, 0, 0, 2, 3, 2, 3, 1, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 6, 3, 1, 0, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 3, 4, 4, 0, 2, 0, 0, 0, 0, 0]] 8 [[0, 0, 0, 2, 2, 2, 2, 5, 0, 0, 0, 0, 0]] 8
[[0, 0, 0, 4, 4, 3, 0, 1, 0, 1, 0, 0, 0]] 7 [[0, 0, 0, 3, 2, 5, 2, 1, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 3, 2, 4, 1, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 3, 1, 5, 3, 1, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 6, 6, 1, 0, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 0, 4, 2, 2, 3, 2, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 5, 3, 3, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 4, 4, 1, 2, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 4, 5, 3, 1, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 4, 4, 2, 0, 3, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 0, 4, 5, 3, 0, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 4, 2, 4, 2, 1, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 5, 3, 2, 3, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 4, 4, 1, 3, 0, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 4, 3, 1, 2, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 5, 2, 2, 0, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 3, 2, 3, 2, 0, 1, 0, 0, 0]] 7
[[0, 0, 0, 3, 4, 0, 3, 2, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 3, 4, 4, 1, 0, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 2, 1, 3, 3, 3, 0, 0, 0, 0]] 7 [[0, 0, 0, 3, 2, 3, 3, 1, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 3, 2, 6, 1, 0, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 4, 1, 5, 1, 2, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 2, 5, 3, 1, 2, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 4, 2, 2, 4, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 1, 6, 3, 2, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 2, 2, 5, 4, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 0, 5, 3, 3, 1, 0, 1, 0, 0, 0]] 6
[[0, 0, 0, 1, 5, 2, 2, 2, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 0, 3, 2, 3, 3, 2, 0, 0, 0, 0]] 6
[[0, 0, 0, 4, 4, 1, 2, 2, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 2, 2, 1, 4, 2, 2, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 3, 1, 3, 2, 2, 0, 0, 0, 0]] 6 [[0, 0, 0, 4, 7, 1, 1, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 2, 1, 1, 3, 3, 1, 0, 0, 0]] 6 [[0, 0, 0, 1, 2, 3, 2, 3, 1, 0, 1, 0, 0]] 6
[[0, 0, 0, 1, 2, 2, 2, 4, 1, 0, 1, 0, 0]] 6 [[0, 0, 0, 4, 2, 5, 2, 0, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 2, 4, 1, 2, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 2, 4, 3, 2, 0, 2, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 1, 2, 3, 2, 2, 0, 0, 0, 0]] 5 [[0, 0, 0, 0, 4, 4, 1, 2, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 0, 6, 5, 2, 0, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 3, 4, 3, 0, 2, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 4, 2, 3, 0, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 3, 4, 2, 1, 2, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 5, 4, 1, 2, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 3, 3, 5, 1, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 4, 3, 3, 1, 2, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 5, 0, 3, 2, 0, 1, 0, 0, 0]] 5
[[0, 0, 0, 0, 5, 6, 1, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 1, 5, 1, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 3, 5, 1, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 0, 6, 5, 1, 0, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 1, 3, 3, 2, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 2, 2, 3, 4, 2, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 4, 3, 3, 1, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 2, 1, 3, 4, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 4, 2, 3, 2, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 4, 1, 2, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 2, 2, 3, 1, 1, 1, 0, 0]] 5 [[0, 0, 0, 1, 3, 1, 5, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 5, 3, 1, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 2, 4, 2, 4, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 4, 5, 0, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 3, 2, 0, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 0, 3, 3, 4, 2, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 2, 2, 6, 2, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 0, 3, 4, 2, 0, 1, 0, 0]] 5 [[0, 0, 0, 2, 3, 1, 3, 4, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 4, 3, 2, 3, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 1, 2, 4, 1, 1, 1, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 0, 5, 2, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 1, 5, 1, 1, 2, 0, 0, 0]] 5 [[0, 0, 0, 0, 4, 2, 3, 3, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 1, 4, 3, 2, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 3, 3, 2, 1, 2, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 5, 4, 4, 0, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 7, 2, 2, 2, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 4, 3, 2, 3, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 2, 2, 4, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 4, 3, 3, 1, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 3, 3, 0, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 7, 2, 1, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 1, 6, 2, 2, 0, 0, 1, 0, 0]] 4
[[0, 0, 0, 1, 2, 2, 3, 2, 3, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 2, 3, 3, 3, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 1, 4, 1, 4, 3, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 4, 2, 4, 3, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 2, 4, 0, 2, 2, 0, 0, 0]] 4 [[0, 0, 0, 0, 3, 3, 4, 1, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 0, 5, 4, 2, 0, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 0, 3, 2, 3, 2, 2, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 2, 1, 3, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 2, 1, 4, 2, 2, 2, 0, 0, 0]] 4
[[0, 0, 0, 1, 4, 1, 2, 2, 2, 1, 0, 0, 0]] 4 [[0, 0, 0, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 4, 2, 2, 0, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 3, 3, 2, 1, 0, 0, 1, 0, 0]] 4
[[0, 0, 0, 5, 1, 3, 0, 3, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 5, 4, 3, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 0, 4, 4, 4, 1, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 8, 2, 0, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 4, 3, 2, 1, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 1, 5, 3, 2, 0, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 3, 3, 2, 2, 3, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 3, 5, 0, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 2, 2, 3, 2, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 5, 2, 0, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 5, 4, 2, 1, 0, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 5, 3, 1, 1, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 2, 1, 3, 2, 4, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 3, 1, 2, 3, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 4, 3, 2, 1, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 1, 2, 3, 4, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 2, 4, 3, 1, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 2, 3, 2, 1, 1, 0, 1, 0, 0]] 4 [[0, 0, 0, 4, 4, 1, 4, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 3, 3, 1, 2, 2, 1, 0, 0, 0]] 4 [[0, 0, 0, 3, 2, 2, 3, 1, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 4, 3, 2, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 1, 4, 3, 1, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 1, 3, 4, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 4, 3, 3, 1, 0, 0, 1, 0, 0]] 3
[[0, 0, 0, 5, 1, 5, 1, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 1, 3, 2, 2, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 2, 4, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 5, 1, 1, 0, 2, 0, 0, 0]] 3
[[0, 0, 0, 1, 5, 5, 1, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 5, 3, 0, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 5, 2, 0, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 4, 4, 3, 0, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 1, 3, 5, 1, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 3, 5, 0, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 0, 6, 3, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 4, 3, 3, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 4, 5, 2, 0, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 1, 3, 2, 3, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 1, 5, 4, 1, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 3, 3, 0, 1, 0, 1, 0, 0]] 3
[[0, 0, 0, 1, 3, 2, 3, 3, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 1, 3, 2, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 3, 1, 4, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 4, 6, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 0, 1, 5, 1, 3, 2, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 3, 5, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 1, 5, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 6, 3, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 5, 4, 3, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 4, 2, 3, 0, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 3, 2, 2, 1, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 3, 3, 3, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 1, 4, 3, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 5, 2, 3, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 7, 3, 1, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 2, 2, 3, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 6, 3, 3, 1, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 2, 2, 3, 1, 0, 1, 0, 0]] 3
[[0, 0, 0, 4, 0, 4, 2, 2, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 4, 2, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 5, 3, 3, 1, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 6, 3, 2, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 6, 1, 4, 1, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 2, 2, 3, 2, 2, 1, 1, 0, 0]] 3 [[0, 0, 0, 2, 3, 3, 4, 0, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 1, 2, 4, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 2, 4, 3, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 3, 2, 3, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 3, 1, 1, 4, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 6, 1, 2, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 4, 0, 4, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 2, 3, 3, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 0, 5, 5, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 4, 0, 4, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 5, 2, 3, 2, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 2, 2, 1, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 2, 1, 1, 4, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 1, 5, 3, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 3, 2, 3, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 2, 4, 3, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 6, 2, 3, 0, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 3, 3, 2, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 3, 2, 4, 3, 0, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 3, 3, 1, 0, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 3, 4, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 3, 1, 3, 4, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 3, 2, 3, 0, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 2, 5, 2, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 1, 2, 4, 2, 1, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 2, 4, 1, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 2, 4, 4, 1, 1, 0, 1, 0, 0]] 3 [[0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 1, 0, 4, 3, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 2, 1, 5, 0, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 1, 5, 1, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 3, 3, 1, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 4, 2, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 2, 0, 4, 2, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 5, 4, 2, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 4, 4, 2, 0, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 4, 2, 3, 0, 1, 1, 0, 0]] 2 [[0, 0, 0, 1, 4, 2, 4, 1, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 0, 5, 1, 3, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 3, 3, 5, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 4, 4, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 3, 1, 4, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 5, 3, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 1, 3, 6, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 3, 5, 1, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 0, 6, 4, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 4, 1, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 0, 1, 5, 2, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 0, 1, 4, 4, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 0, 3, 4, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 5, 2, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 6, 3, 0, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 2, 3, 4, 0, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 1, 2, 5, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 4, 1, 0, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 3, 3, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 5, 4, 1, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 5, 2, 1, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 1, 4, 2, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 4, 3, 4, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 2, 2, 3, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 4, 1, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 2, 3, 2, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 6, 1, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 3, 4, 0, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 0, 3, 3, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 1, 4, 5, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 3, 4, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 1, 2, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 0, 3, 2, 2, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 0, 3, 3, 3, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 5, 4, 0, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 5, 3, 2, 1, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 4, 1, 3, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 1, 2, 3, 1, 1, 1, 0, 0]] 2
[[0, 0, 0, 2, 4, 5, 2, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 1, 2, 4, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 5, 3, 2, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 1, 1, 4, 5, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 4, 0, 3, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 3, 0, 3, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 3, 2, 1, 2, 5, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 5, 0, 2, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 3, 2, 1, 5, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 3, 5, 2, 1, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 3, 2, 4, 2, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 2, 3, 2, 3, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 8, 0, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 1, 5, 1, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 0, 5, 2, 2, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 1, 1, 3, 6, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 3, 5, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 1, 1, 2, 4, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 1, 4, 1, 4, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 5, 2, 1, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 5, 0, 2, 2, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 1, 2, 1, 4, 1, 0, 1, 0, 0]] 1
[[0, 0, 0, 2, 2, 1, 3, 3, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 2, 1, 5, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 5, 3, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 5, 4, 0, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 6, 2, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 4, 1, 4, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 5, 3, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 6, 3, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 4, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 2, 4, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 1, 4, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 0, 2, 4, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 5, 1, 1, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 2, 1, 3, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 2, 2, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 4, 1, 1, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 0]] 1 [[0, 0, 0, 2, 3, 3, 1, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 3, 1, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 2, 1, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 2, 3, 1, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 4, 1, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 6, 0, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 4, 3, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 4, 3, 1, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 4, 3, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 3, 1, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 4, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 2, 5, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 2, 5, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 2, 2, 4, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 5, 0, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 3, 2, 1, 4, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 1, 3, 3, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 4, 1, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 5, 1, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 0, 3, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 2, 1, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 3, 2, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 0, 5, 1, 2, 3, 1, 0, 0, 0]] 1 [[0, 0, 0, 3, 0, 2, 4, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 2, 2, 6, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 1, 4, 3, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 3, 1, 1, 4, 2, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 3, 3, 1, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 5, 4, 1, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 6, 0, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 5, 2, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 2, 0, 5, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 1, 3, 4, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 0, 4, 1, 3, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 4, 1, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 3, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 2, 4, 1, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 1, 0, 0]] 1 [[0, 0, 0, 1, 1, 4, 3, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 7, 1, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 4, 2, 1, 0, 2, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 1, 4, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 1, 5, 3, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 4, 0, 2, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 0, 6, 3, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 3, 4, 2, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 4, 2, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 2, 2, 5, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 1, 3, 2, 2, 2, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 1, 2, 5, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 0, 5, 1, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 2, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 4, 2, 2, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 2, 3, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 6, 2, 2, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 6, 2, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 2, 2, 0, 1, 1, 0, 0]] 1
[[0, 0, 0, 2, 2, 6, 2, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 5, 0, 1, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 3, 2, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 5, 0, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 3, 3, 0, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 2, 2, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 1, 3, 5, 1, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,8)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,8)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0]] 17 [[0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0]] 16
[[0, 0, 0, 2, 6, 2, 2, 1, 0, 0, 0, 0, 0]] 15 [[0, 0, 0, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0]] 15
[[0, 0, 0, 3, 5, 2, 3, 0, 0, 0, 0, 0, 0]] 14 [[0, 0, 0, 2, 4, 3, 2, 1, 0, 1, 0, 0, 0]] 14
[[0, 0, 0, 2, 4, 3, 2, 2, 0, 0, 0, 0, 0]] 13 [[0, 0, 0, 3, 5, 1, 3, 1, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 2, 4, 3, 4, 0, 0, 0, 0, 0, 0]] 12 [[0, 0, 0, 2, 4, 3, 3, 0, 1, 0, 0, 0, 0]] 12
[[0, 0, 0, 4, 5, 2, 1, 1, 0, 0, 0, 0, 0]] 12 [[0, 0, 0, 1, 4, 2, 4, 2, 0, 0, 0, 0, 0]] 12
[[0, 0, 0, 4, 5, 3, 1, 0, 0, 0, 0, 0, 0]] 11 [[0, 0, 0, 2, 3, 1, 4, 2, 1, 0, 0, 0, 0]] 11
[[0, 0, 0, 2, 3, 1, 3, 2, 2, 0, 0, 0, 0]] 11 [[0, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 1, 4, 1, 3, 3, 1, 0, 0, 0, 0]] 10 [[0, 0, 0, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0]] 10
[[0, 0, 0, 1, 5, 1, 3, 3, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 0, 3, 3, 4, 2, 1, 0, 0, 0, 0]] 10
[[0, 0, 0, 2, 5, 3, 2, 0, 1, 0, 0, 0, 0]] 10 [[0, 0, 0, 3, 2, 4, 2, 1, 0, 1, 0, 0, 0]] 9
[[0, 0, 0, 2, 3, 4, 1, 3, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 3, 4, 2, 3, 0, 1, 0, 0, 0, 0]] 9
[[0, 0, 0, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0]] 9 [[0, 0, 0, 0, 4, 4, 3, 1, 1, 0, 0, 0, 0]] 9
[[0, 0, 0, 1, 5, 3, 3, 1, 0, 0, 0, 0, 0]] 9 [[0, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 0, 0]] 9
[[0, 0, 0, 2, 3, 3, 3, 0, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 1, 2, 4, 1, 3, 1, 1, 0, 0, 0]] 8
[[0, 0, 0, 1, 3, 3, 2, 3, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 3, 3, 1, 2, 3, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 2, 3, 4, 2, 1, 1, 0, 0, 0, 0]] 8 [[0, 0, 0, 4, 5, 1, 3, 0, 0, 0, 0, 0, 0]] 8
[[0, 0, 0, 1, 4, 3, 2, 3, 0, 0, 0, 0, 0]] 8 [[0, 0, 0, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 2, 4, 2, 2, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 3, 4, 2, 1, 2, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 3, 2, 5, 1, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 2, 2, 3, 4, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 3, 3, 3, 1, 1, 0, 1, 0, 0]] 7 [[0, 0, 0, 4, 2, 3, 2, 2, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 5, 3, 1, 1, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 3, 1, 4, 1, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 5, 3, 1, 3, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 3, 3, 4, 1, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 3, 4, 1, 4, 1, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 1, 4, 2, 3, 2, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 4, 7, 1, 1, 0, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 6, 3, 1, 0, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 4, 4, 1, 3, 0, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 3, 3, 5, 1, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 5, 3, 1, 2, 1, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 4, 2, 1, 3, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 4, 3, 3, 1, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 2, 6, 2, 2, 0, 0, 1, 0, 0, 0]] 6
[[0, 0, 0, 3, 5, 2, 2, 0, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 4, 6, 3, 0, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 3, 1, 2, 3, 3, 0, 0, 0, 0]] 6 [[0, 0, 0, 3, 2, 2, 1, 4, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 4, 4, 3, 1, 0, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 2, 5, 2, 1, 0, 1, 0, 0, 0]] 5
[[0, 0, 0, 4, 2, 4, 2, 0, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 0, 2, 0, 4, 5, 2, 0, 0, 0, 0]] 5
[[0, 0, 0, 4, 2, 6, 0, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 5, 2, 4, 2, 0, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 3, 3, 4, 1, 2, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 4, 3, 1, 2, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 4, 1, 3, 2, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 4, 4, 1, 4, 0, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 3, 5, 1, 2, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 4, 3, 1, 1, 3, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 5, 2, 3, 1, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 1, 3, 4, 2, 2, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 3, 3, 4, 0, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 3, 3, 2, 1, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 3, 4, 2, 2, 2, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 2, 3, 2, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 3, 2, 3, 1, 2, 0, 0, 0, 0]] 5 [[0, 0, 0, 1, 3, 2, 4, 1, 1, 1, 0, 0, 0]] 5
[[0, 0, 0, 2, 4, 2, 2, 1, 2, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 3, 2, 2, 3, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 3, 0, 4, 3, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 2, 1, 5, 1, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 1, 4, 3, 4, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 4, 2, 4, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 1, 4, 1, 3, 1, 0, 1, 0, 0]] 4 [[0, 0, 0, 2, 2, 1, 4, 2, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 3, 5, 2, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 3, 2, 1, 3, 0, 0, 0, 0]] 4
[[0, 0, 0, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 6, 4, 1, 0, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 5, 4, 1, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 4, 1, 3, 3, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 0, 6, 3, 2, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 4, 5, 1, 2, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 5, 3, 3, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 4, 2, 4, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 4, 3, 1, 5, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 6, 3, 2, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 4, 4, 0, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 3, 4, 1, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 2, 4, 2, 0, 0, 1, 0, 0]] 4
[[0, 0, 0, 1, 2, 2, 5, 2, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 4, 2, 2, 3, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 3, 2, 3, 0, 2, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 3, 3, 2, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 2, 4, 2, 1, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 2, 4, 2, 2, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 1, 4, 5, 1, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 1, 3, 3, 1, 0, 1, 0, 0]] 4
[[0, 0, 0, 3, 2, 3, 3, 1, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 5, 4, 1, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 1, 3, 4, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 1, 2, 2, 6, 2, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 4, 5, 3, 0, 0, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 2, 2, 4, 2, 1, 0, 1, 0, 0]] 4
[[0, 0, 0, 1, 4, 2, 0, 4, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 5, 2, 3, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 3, 2, 1, 5, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 1, 2, 6, 2, 2, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 2, 5, 2, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 4, 2, 3, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 3, 2, 2, 3, 1, 0, 0, 1, 0]] 3 [[0, 0, 0, 2, 2, 1, 3, 2, 2, 0, 1, 0, 0]] 3
[[0, 0, 0, 3, 3, 2, 2, 0, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 2, 4, 0, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 3, 5, 0, 2, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 4, 3, 1, 3, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 0, 4, 2, 3, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 0, 3, 1, 5, 2, 0, 1, 0, 0]] 3
[[0, 0, 0, 4, 2, 2, 2, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 2, 1, 2, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 3, 2, 1, 3, 1, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 4, 2, 2, 3, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 3, 1, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 4, 4, 2, 0, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 3, 2, 2, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 5, 3, 3, 1, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 4, 3, 1, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 1, 1, 4, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 7, 2, 0, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 2, 1, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 5, 3, 1, 1, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 6, 3, 1, 1, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 1, 1, 3, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 5, 2, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 3, 3, 1, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 4, 4, 1, 2, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 6, 1, 2, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 7, 3, 1, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 5, 2, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 3, 2, 3, 0, 0, 0, 1, 0]] 3
[[0, 0, 0, 6, 4, 1, 2, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 2, 2, 3, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 2, 2, 4, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 6, 3, 2, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 4, 2, 2, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 1, 2, 2, 6, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 4, 3, 2, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 1, 2, 3, 4, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 4, 2, 3, 1, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 1, 2, 4, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 2, 5, 2, 4, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 2, 4, 3, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 1, 4, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 2, 2, 2, 4, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 4, 4, 0, 2, 2, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 1, 5, 1, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 6, 5, 0, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 3, 1, 3, 1, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 0, 6, 4, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 1, 5, 3, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 4, 3, 2, 0, 0, 0, 1, 0]] 2 [[0, 0, 0, 2, 3, 1, 5, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 3, 0, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 3, 3, 0, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 1, 2, 4, 1, 3, 0, 1, 1, 0, 0]] 2 [[0, 0, 0, 3, 3, 5, 0, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 4, 1, 3, 0, 0, 0, 1, 0, 0]] 2 [[0, 0, 0, 5, 6, 0, 2, 0, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 2, 4, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 2, 3, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 4, 2, 4, 3, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 5, 2, 1, 2, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 4, 2, 1, 2, 0, 0, 1, 0]] 2 [[0, 0, 0, 3, 5, 4, 0, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 5, 1, 3, 2, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 6, 3, 3, 1, 0, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 4, 4, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 5, 4, 0, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 1, 2, 4, 4, 1, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 7, 3, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 6, 1, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 0, 2, 5, 1, 3, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 4, 2, 3, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 1, 5, 2, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 2, 6, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 5, 1, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 5, 3, 2, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 5, 1, 2, 1, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 4, 2, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 3, 2, 0, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 5, 2, 1, 3, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 1, 5, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 5, 2, 1, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 3, 4, 1, 0, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 2, 2, 1, 3, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 5, 1, 0, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 1, 2, 4, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 5, 3, 2, 0, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 4, 2, 1, 3, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 2, 4, 0, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 4, 0, 3, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 2, 5, 1, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 7, 2, 4, 0, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 5, 4, 1, 2, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 2, 3, 1, 3, 0, 0, 1, 0, 0]] 2 [[0, 0, 0, 3, 3, 2, 3, 0, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 0, 4, 2, 4, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 4, 3, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 4, 2, 2, 0, 1, 1, 0, 0]] 2 [[0, 0, 0, 0, 4, 4, 4, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 3, 3, 2, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 3, 2, 0, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 1, 6, 0, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 5, 3, 2, 1, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 2, 2, 4, 2, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 4, 0, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 2, 3, 1, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 2, 2, 3, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 1, 5, 3, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 4, 0, 0, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 1, 1, 2, 5, 3, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 4, 2, 1, 3, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 5, 4, 3, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 3, 5, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 1, 4, 1, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 4, 3, 4, 1, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 2, 3, 1, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 2, 5, 1, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 3, 1, 5, 3, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 3, 6, 3, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 4, 5, 0, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 4, 1, 1, 1, 0, 1, 0, 0]] 2
[[0, 0, 0, 3, 2, 6, 1, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 6, 1, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 0, 5, 2, 1, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 4, 2, 2, 2, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 2, 5, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 2, 2, 5, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 4, 3, 0, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 2, 4, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 4, 0, 4, 4, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 1, 3, 1, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 2, 3, 3, 2, 0, 1, 0, 0]] 1
[[0, 0, 0, 1, 2, 1, 3, 3, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 4, 1, 2, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 5, 4, 2, 2, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 6, 0, 4, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 1, 3, 4, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 4, 3, 3, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 3, 5, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 1, 4, 2, 2, 2, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 6, 2, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 2, 4, 2, 1, 1, 1, 0, 0]] 1
[[0, 0, 0, 1, 1, 3, 7, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 4, 3, 0, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 6, 2, 1, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 4, 2, 4, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 2, 5, 2, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 1, 5, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 2, 4, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 2, 2, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 6, 2, 2, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 2, 3, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 3, 2, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 3, 1, 4, 2, 2, 0, 0, 1, 0, 0]] 1 [[0, 0, 0, 3, 4, 5, 0, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 0, 3, 3, 4, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 3, 2, 3, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 5, 2, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 2, 2, 2, 3, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 1, 0]] 1
[[0, 0, 0, 1, 2, 3, 2, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 3, 2, 2, 0, 0, 1, 0, 0]] 1
[[0, 0, 0, 1, 5, 4, 3, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 5, 2, 0, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 6, 6, 1, 0, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 6, 3, 0, 0, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 5, 2, 5, 0, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 2, 4, 2, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 1, 5, 4, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 6, 4, 2, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 1, 4, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 2, 2, 2, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 4, 2, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 2, 5, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 3, 0, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 4, 1, 1, 0, 1, 0, 0]] 1 [[0, 0, 0, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 2, 2, 4, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 7, 0, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 0, 3, 1, 4, 3, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 3, 1, 2, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 5, 3, 0, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 3, 1, 3, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 2, 3, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 3, 2, 2, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 3, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 1, 2, 3, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 1, 5, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 0, 3, 3, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 2, 0, 4, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 5, 1, 3, 2, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 4, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 1, 3, 2, 2, 2, 0, 0, 0]] 1 [[0, 0, 0, 1, 0, 3, 4, 2, 1, 1, 1, 0, 0]] 1
[[0, 0, 0, 3, 0, 2, 5, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 1, 5, 1, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 2, 2, 3, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 1, 4, 3, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 5, 5, 2, 1, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 4, 1, 0, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 3, 1, 2, 1, 2, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 2, 2, 1, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 3, 1, 3, 1, 0, 0, 0]] 1 [[0, 0, 0, 4, 2, 1, 2, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 2, 4, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 1, 2, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 3, 3, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 3, 0, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 2, 4, 0, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 3, 2, 2, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 7, 0, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 1, 2, 4, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 3, 4, 2, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 5, 3, 2, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 5, 0, 4, 3, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 2, 5, 2, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 5, 3, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 5, 2, 1, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 2, 5, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 2, 4, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 2, 3, 0, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 5, 0, 2, 2, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 3, 3, 2, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 4, 0, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 3, 1, 2, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 5, 5, 0, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 6, 1, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 6, 2, 0, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 6, 3, 0, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 5, 0, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 2, 1, 2, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 5, 5, 0, 1, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 2, 3, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 5, 3, 4, 1, 0, 0, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,9)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,9)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 2, 4, 5, 2, 0, 0, 0, 0, 0, 0]] 13 [[0, 0, 0, 2, 3, 1, 4, 2, 1, 0, 0, 0, 0]] 13
[[0, 0, 0, 1, 3, 2, 3, 2, 2, 0, 0, 0, 0]] 11 [[0, 0, 0, 1, 4, 3, 3, 1, 1, 0, 0, 0, 0]] 11
[[0, 0, 0, 1, 4, 2, 4, 2, 0, 0, 0, 0, 0]] 10 [[0, 0, 0, 2, 4, 3, 2, 2, 0, 0, 0, 0, 0]] 9
[[0, 0, 0, 0, 4, 3, 2, 2, 2, 0, 0, 0, 0]] 9 [[0, 0, 0, 3, 2, 5, 1, 1, 1, 0, 0, 0, 0]] 8
[[0, 0, 0, 1, 4, 3, 2, 1, 2, 0, 0, 0, 0]] 8 [[0, 0, 0, 4, 2, 4, 2, 1, 0, 0, 0, 0, 0]] 8
[[0, 0, 0, 1, 5, 2, 3, 1, 0, 1, 0, 0, 0]] 8 [[0, 0, 0, 1, 4, 2, 3, 2, 1, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 2, 4, 2, 2, 0, 1, 0, 0, 0]] 7 [[0, 0, 0, 1, 1, 5, 3, 3, 0, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 4, 2, 4, 1, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 2, 3, 3, 1, 2, 2, 0, 0, 0, 0]] 7
[[0, 0, 0, 2, 4, 3, 4, 0, 0, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 2, 3, 5, 1, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 1, 5, 3, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 3, 2, 2, 3, 1, 0, 0, 0, 0]] 6 [[0, 0, 0, 4, 5, 1, 3, 0, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 2, 5, 2, 3, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 5, 2, 3, 2, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 3, 6, 1, 1, 1, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 2, 3, 2, 4, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 4, 1, 4, 1, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 1, 2, 1, 4, 2, 2, 1, 0, 0, 0]] 5
[[0, 0, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 2, 4, 2, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 2, 3, 2, 5, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 4, 1, 2, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 2, 3, 2, 3, 0, 1, 0, 0, 0]] 5 [[0, 0, 0, 3, 5, 2, 3, 0, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 4, 3, 1, 2, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 2, 3, 4, 1, 3, 0, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 6, 3, 2, 0, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 3, 2, 2, 2, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 1, 3, 2, 4, 2, 1, 0, 0, 0, 0]] 5 [[0, 0, 0, 3, 2, 1, 3, 1, 3, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 0, 4, 4, 3, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 4, 1, 3, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 3, 4, 2, 3, 0, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 4, 3, 4, 1, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 2, 2, 5, 2, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 0, 4, 1, 3, 3, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 4, 5, 3, 1, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 5, 3, 1, 1, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 7, 3, 1, 0, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 4, 7, 1, 1, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 5, 1, 2, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 4, 2, 3, 1, 1, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 1, 5, 2, 1, 1, 0, 0, 0]] 4 [[0, 0, 0, 2, 5, 3, 3, 0, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 1, 2, 3, 3, 1, 3, 0, 0, 0, 0]] 4 [[0, 0, 0, 3, 4, 1, 1, 1, 3, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 4, 4, 1, 0, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 5, 1, 0, 3, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 3, 2, 1, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 1, 2, 4, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 2, 3, 6, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 4, 2, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 3, 2, 3, 1, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 3, 1, 3, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 1, 4, 3, 1, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 2, 3, 2, 2, 0, 1, 0, 0]] 3
[[0, 0, 0, 2, 3, 2, 5, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 2, 4, 3, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 3, 2, 2, 6, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 5, 4, 1, 1, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 3, 1, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 4, 3, 0, 2, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 4, 1, 4, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 2, 2, 3, 3, 0, 0, 0, 0]] 3 [[0, 0, 0, 4, 4, 2, 2, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 5, 3, 4, 1, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 4, 5, 2, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 4, 3, 1, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 1, 4, 1, 3, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 5, 3, 2, 1, 1, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 5, 1, 2, 0, 0, 1, 0, 0]] 3 [[0, 0, 0, 4, 5, 2, 1, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 2, 4, 3, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 0, 5, 3, 3, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 5, 5, 1, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 4, 2, 3, 2, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 4, 2, 4, 0, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 2, 2, 4, 1, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 2, 1, 4, 3, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 3, 1, 2, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 3, 2, 3, 2, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 8, 2, 0, 1, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 0, 3, 2, 2, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 2, 3, 1, 3, 1, 0, 0, 0]] 2
[[0, 0, 0, 4, 2, 4, 1, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 5, 2, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 3, 2, 2, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 2, 4, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 3, 4, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 4, 1, 4, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 3, 4, 1, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 1, 2, 3, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 5, 1, 2, 3, 0, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 4, 3, 0, 2, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 3, 2, 3, 2, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 5, 3, 0, 3, 2, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 4, 5, 0, 2, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 2, 1, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 4, 2, 1, 5, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 5, 3, 2, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 4, 1, 4, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 3, 2, 0, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 3, 5, 2, 1, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 3, 2, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 1, 4, 4, 1, 2, 0, 1, 0, 0]] 2 [[0, 0, 0, 1, 1, 5, 3, 2, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 5, 2, 3, 3, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 7, 0, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 7, 2, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 4, 5, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 5, 6, 1, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 4, 2, 1, 4, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 4, 2, 2, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 4, 2, 4, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 5, 4, 0, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 3, 2, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 2, 5, 3, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 5, 2, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 4, 2, 1, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 5, 1, 4, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 1, 3, 5, 2, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 5, 2, 0, 4, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 5, 3, 1, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 4, 3, 1, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 4, 5, 3, 0, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 5, 3, 1, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 4, 3, 0, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 6, 4, 0, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 6, 2, 2, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 3, 0, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 2, 2, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 4, 3, 1, 0, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 4, 0, 3, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 7, 2, 4, 0, 0, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 5, 3, 3, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 2, 3, 1, 4, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 3, 2, 4, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 3, 3, 2, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 5, 2, 1, 3, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 3, 3, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 4, 4, 1, 2, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 4, 1, 4, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 0, 2, 4, 2, 2, 2, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 2, 1, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 1, 3, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 4, 3, 4, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 6, 1, 1, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 3, 4, 1, 1, 1, 1, 0, 0]] 2 [[0, 0, 0, 2, 2, 4, 3, 0, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 3, 3, 1, 4, 0, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 4, 0, 0, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 6, 2, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 1, 4, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 5, 4, 0, 0, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 4, 4, 2, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 4, 1, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 2, 4, 1, 0, 1, 0, 0]] 1
[[0, 0, 0, 2, 3, 3, 5, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 2, 2, 3, 1, 0, 0, 1, 0]] 1
[[0, 0, 0, 1, 6, 1, 1, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 5, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 2, 2, 5, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 5, 0, 1, 3, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 0, 3, 4, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 0, 2, 4, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 0, 3, 1, 4, 3, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 2, 3, 1, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 6, 1, 4, 1, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 3, 2, 1, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 2, 4, 2, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 5, 4, 1, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 6, 2, 2, 0, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 5, 3, 2, 0, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 4, 0, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 1, 4, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 4, 3, 3, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 4, 5, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 2, 3, 3, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 5, 4, 0, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 5, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 2, 2, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 5, 4, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 2, 4, 3, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 3, 5, 1, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 4, 1, 3, 1, 0, 1, 0, 0]] 1
[[0, 0, 0, 1, 3, 2, 2, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 2, 2, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 3, 3, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 4, 2, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 5, 2, 2, 1, 0, 1, 0, 0]] 1 [[0, 0, 0, 2, 4, 2, 3, 1, 0, 0, 1, 0, 0]] 1
[[0, 0, 0, 3, 5, 4, 1, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 1, 2, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 1, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 5, 1, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 1, 3, 3, 1, 1, 1, 0, 0]] 1 [[0, 0, 0, 0, 3, 3, 1, 3, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 2, 2, 2, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 4, 2, 1, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 2, 4, 0, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 1, 2, 3, 1, 1, 1, 0, 0]] 1
[[0, 0, 0, 2, 2, 3, 1, 2, 1, 2, 0, 0, 0]] 1 [[0, 0, 0, 1, 5, 4, 2, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 6, 3, 0, 0, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 3, 3, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 4, 2, 2, 0, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 5, 5, 2, 1, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 6, 3, 0, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 2, 4, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 1, 3, 4, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 2, 3, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 2, 4, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 5, 4, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 3, 0, 4, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 2, 3, 3, 2, 0, 1, 0, 0]] 1
[[0, 0, 0, 0, 3, 2, 3, 2, 2, 0, 0, 1, 0]] 1 [[0, 0, 0, 0, 4, 3, 1, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 6, 3, 1, 0, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 3, 4, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 4, 1, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 3, 1, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 2, 2, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 2, 3, 0, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 0, 4, 4, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 2, 1, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 3, 4, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 2, 3, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 4, 4, 2, 0, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 4, 1, 1, 0, 1, 1, 0, 0]] 1 [[0, 0, 0, 4, 3, 1, 3, 1, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 5, 4, 3, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 1, 4, 1, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 1, 3, 0, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 4, 1, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 3, 1, 3, 3, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 4, 3, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 3, 0, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 4, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 2, 2, 3, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 6, 2, 0, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 4, 4, 2, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 2, 4, 2, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 5, 2, 2, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 1, 5, 3, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 4, 3, 2, 0, 2, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 5, 3, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 1, 4, 3, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 2, 2, 1, 1, 2, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 3, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 3, 2, 1, 4, 1, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,10)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,10)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 2, 4, 1, 3, 2, 1, 0, 0, 0, 0]] 7 [[0, 0, 0, 1, 3, 2, 5, 2, 0, 0, 0, 0, 0]] 6
[[0, 0, 0, 1, 4, 3, 4, 1, 0, 0, 0, 0, 0]] 6 [[0, 0, 0, 1, 3, 3, 4, 1, 1, 0, 0, 0, 0]] 5
[[0, 0, 0, 2, 4, 2, 2, 2, 0, 1, 0, 0, 0]] 4 [[0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 3, 5, 1, 1, 1, 2, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 2, 5, 2, 3, 0, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 0, 2, 3, 4, 2, 2, 0, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 3, 4, 0, 1, 0, 0, 0, 0]] 4 [[0, 0, 0, 1, 3, 5, 1, 2, 0, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 6, 2, 2, 1, 0, 0, 0, 0, 0]] 4 [[0, 0, 0, 2, 1, 5, 2, 1, 1, 1, 0, 0, 0]] 4
[[0, 0, 0, 2, 3, 1, 2, 4, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 3, 2, 3, 2, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 1, 4, 1, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0]] 3
[[0, 0, 0, 0, 2, 4, 5, 0, 1, 1, 0, 0, 0]] 3 [[0, 0, 0, 1, 2, 3, 4, 1, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 3, 4, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 3, 3, 3, 1, 2, 1, 0, 0, 0]] 3
[[0, 0, 0, 3, 3, 2, 1, 2, 2, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 3, 4, 1, 3, 2, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 3, 5, 3, 0, 0, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 1, 8, 1, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 1, 5, 1, 3, 3, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 1, 1, 4, 3, 4, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 4, 3, 2, 0, 1, 0, 1, 0, 0]] 3 [[0, 0, 0, 0, 3, 5, 3, 1, 0, 1, 0, 0, 0]] 3
[[0, 0, 0, 0, 3, 3, 4, 2, 1, 0, 0, 0, 0]] 3 [[0, 0, 0, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0]] 3
[[0, 0, 0, 2, 5, 2, 1, 0, 2, 1, 0, 0, 0]] 3 [[0, 0, 0, 2, 3, 3, 2, 1, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 2, 2, 1, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 1, 3, 3, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 6, 2, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 3, 4, 1, 2, 0, 0, 1, 0]] 2
[[0, 0, 0, 1, 3, 2, 4, 1, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 2, 1, 4, 3, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 1, 4, 2, 2, 2, 0, 0, 0]] 2
[[0, 0, 0, 0, 3, 3, 3, 2, 1, 0, 1, 0, 0]] 2 [[0, 0, 0, 0, 4, 2, 4, 2, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 4, 1, 4, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 4, 5, 0, 0, 0, 1, 0, 0]] 2
[[0, 0, 0, 3, 2, 4, 3, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 3, 2, 2, 3, 1, 2, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 3, 3, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 5, 4, 1, 2, 1, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 6, 1, 2, 3, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 2, 1, 3, 2, 3, 0, 0, 0, 0]] 2
[[0, 0, 0, 4, 2, 3, 3, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 3, 2, 1, 5, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 3, 2, 4, 2, 1, 1, 0, 0, 0]] 2 [[0, 0, 0, 4, 1, 5, 2, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 1, 5, 2, 2, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 4, 5, 1, 2, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 3, 0, 2, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 0, 1, 4, 5, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 5, 2, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 5, 3, 0, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 4, 3, 0, 3, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 4, 2, 2, 1, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 3, 6, 0, 0, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 2, 3, 2, 3, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 2, 5, 1, 1, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 4, 2, 1, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 2, 7, 0, 0, 3, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 1, 1, 5, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 1, 8, 1, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 4, 2, 1, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 4, 2, 1, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 4, 2, 2, 1, 0, 1, 0, 0]] 1 [[0, 0, 0, 1, 5, 2, 3, 1, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 5, 3, 1, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 0, 4, 5, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 4, 6, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 4, 2, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 2, 0, 4, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 1, 1, 4, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 6, 0, 0, 2, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 2, 5, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 2, 1, 5, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 4, 3, 0, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 3, 3, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 0, 1, 4, 4, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 3, 0, 2, 3, 1, 3, 1, 0, 0, 0]] 1 [[0, 0, 0, 4, 0, 5, 1, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 2, 1, 3, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 2, 0, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 5, 1, 3, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 4, 1, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 6, 3, 1, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 4, 3, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 5, 2, 2, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 5, 4, 3, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 2, 1, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 5, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 2, 5, 0, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 4, 3, 0, 0, 2, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 3, 3, 0, 1, 0, 1, 0, 0]] 1 [[0, 0, 0, 4, 3, 5, 1, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 2, 3, 0, 2, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 4, 4, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 4, 1, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 3, 3, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 5, 3, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 2, 5, 3, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 1, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 4, 2, 1, 0, 1, 0, 0]] 1
[[0, 0, 0, 0, 0, 5, 3, 3, 0, 1, 1, 0, 0]] 1 [[0, 0, 0, 1, 1, 5, 2, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 2, 1, 4, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 5, 1, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 5, 3, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 4, 2, 1, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 4, 2, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 5, 2, 2, 0, 0, 0, 1, 0]] 1
[[0, 0, 0, 1, 6, 2, 0, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 2, 6, 0, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 2, 4, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 2, 4, 1, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 7, 1, 1, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 5, 2, 1, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 3, 2, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 3, 1, 4, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 4, 1, 1, 3, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 6, 2, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 1, 5, 3, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 3, 3, 5, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 3, 3, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 4, 2, 1, 4, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 5, 1, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 2, 4, 2, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 1, 5, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 1, 4, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 1, 3, 4, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 4, 5, 1, 0, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 6, 3, 2, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 3, 5, 1, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 3, 4, 1, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 4, 2, 3, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 5, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 4, 3, 2, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 5, 4, 0, 2, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 2, 4, 2, 1, 0, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 4, 3, 1, 3, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 3, 5, 1, 0, 3, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 1, 4, 4, 0, 1, 1, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,11)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,11)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 2, 4, 2, 4, 1, 0, 0, 0, 0, 0]] 5 [[0, 0, 0, 0, 3, 4, 2, 2, 1, 1, 0, 0, 0]] 3
[[0, 0, 0, 2, 3, 5, 3, 0, 0, 0, 0, 0, 0]] 3 [[0, 0, 0, 0, 1, 3, 5, 1, 2, 1, 0, 0, 0]] 2
[[0, 0, 0, 2, 3, 5, 2, 0, 1, 0, 0, 0, 0]] 2 [[0, 0, 0, 2, 1, 4, 3, 1, 2, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 5, 4, 0, 2, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 4, 5, 0, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 1, 4, 3, 2, 0, 2, 0, 0, 0]] 2 [[0, 0, 0, 0, 2, 3, 6, 2, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 5, 3, 3, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 2, 3, 5, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 0, 2, 5, 2, 3, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 3, 3, 1, 1, 5, 0, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 2, 7, 2, 1, 0, 0, 0, 0, 0]] 2 [[0, 0, 0, 1, 3, 3, 4, 1, 1, 0, 0, 0, 0]] 2
[[0, 0, 0, 1, 0, 2, 5, 1, 3, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 0, 2, 4, 4, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 4, 2, 0, 3, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 3, 5, 2, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 4, 5, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 5, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 5, 1, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 5, 4, 0, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 2, 5, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 6, 4, 2, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 5, 0, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 4, 3, 1, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 2, 3, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 3, 1, 3, 5, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 3, 4, 3, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 3, 2, 1, 5, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 3, 4, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 5, 2, 3, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 4, 0, 2, 5, 2, 0, 0, 0, 0]] 1 [[0, 0, 0, 2, 2, 3, 4, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 2, 3, 2, 4, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 2, 2, 5, 2, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 3, 4, 1, 2, 1, 1, 0, 0]] 1 [[0, 0, 0, 0, 2, 5, 4, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 5, 3, 0, 1, 0, 1, 0, 0]] 1 [[0, 0, 0, 1, 2, 5, 2, 2, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 6, 2, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 4, 3, 1, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 3, 5, 3, 2, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 3, 3, 2, 1, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 3, 2, 2, 1, 1, 0, 0, 0]] 1
[[0, 0, 0, 2, 1, 6, 3, 1, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 0, 4, 4, 4, 1, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 2, 5, 2, 2, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 5, 4, 0, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 4, 3, 0, 2, 0, 0, 0, 0]] 1
[[0, 0, 0, 2, 4, 2, 1, 3, 1, 0, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,12)}\) \(\mathbf{N_{G}} \) \(\mathbf{TG_{LC}(13,12)}\) \(\mathbf{N_{G}}\)
[[0, 0, 0, 1, 2, 3, 4, 2, 0, 1, 0, 0, 0]] 2 [[0, 0, 0, 0, 1, 3, 5, 1, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 3, 2, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 3, 5, 3, 1, 0, 1, 0, 0, 0]] 1
[[0, 0, 0, 1, 1, 4, 4, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 2, 6, 2, 2, 0, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 4, 5, 0, 1, 1, 0, 0, 0]] 1 [[0, 0, 0, 0, 1, 1, 5, 3, 2, 1, 0, 0, 0]] 1
[[0, 0, 0, 0, 2, 5, 3, 2, 1, 0, 0, 0, 0]] 1 [[0, 0, 0, 1, 3, 1, 2, 5, 1, 0, 0, 0, 0]] 1
[[0, 0, 0, 0, 1, 6, 2, 2, 0, 1, 1, 0, 0]] 1 [[0, 0, 0, 0, 2, 2, 3, 2, 3, 1, 0, 0, 0]] 1
\(\mathbf{TG_{LC}(13,13)}\) \(\mathbf{N_{G}} \)
[[0, 0, 0, 0, 0, 6, 5, 1, 1, 0, 0, 0, 0]] 1

Result 6.1. The number of the possible types of the graphs induced by SLC of the Paley graph of degree \(13\) is equal to 1056.

Result 6.2. \(\delta_{loc}(P_{13})=4\) and \(\Delta_{loc}(P_{13})=11\).

7. Conclusion

The study devoted in this paper allows us to say that the cryptanalysis part of the cryptosystem based on Paley graphs and the operation of local complementation will be very difficult. The difficulty is due first to quadratic residuosity problem, then the local equivalence problem. The last problem is related on the problem of classification type in terms of degree of the graphs induced by a sequence of local complemenations. This study allowed us to pose the following open problem: What is the number of possible graph types in terms of degree that we can draw from the execution of a sequence of local complementation of Paley graphs.

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