Hierarchy construction and non-Abelian families of generic topological orders
Tian Lan, Xiao-Gang Wen

TL;DR
This paper extends hierarchy construction to generic 2+1D topological orders, introducing non-Abelian families and simplifying classification by focusing on root orders, which are non-Abelian modular extensions of Abelian group representations.
Contribution
It generalizes hierarchy construction to non-Abelian topological orders and establishes a new equivalence relation, defining non-Abelian families and simplifying their classification.
Findings
Hierarchy construction is reversible for 2+1D topological orders.
All Abelian topological orders form the trivial non-Abelian family.
Root topological orders are non-Abelian modular extensions of Abelian group representations.
Abstract
We generalize the hierarchy construction to generic 2+1D topological orders (which can be non-Abelian) by condensing Abelian anyons in one topological order to construct a new one. We show that such construction is reversible and leads to a new equivalence relation between topological orders. We refer to the corresponding equivalent class (the orbit of the hierarchy construction) as "the non-Abelian family". Each non-Abelian family has one or a few root topological orders with the smallest number of anyon types. All the Abelian topological orders belong to the trivial non-Abelian family whose root is the trivial topological order. We show that Abelian anyons in root topological orders must be bosons or fermions with trivial mutual statistics between them. The classification of topological orders is then greatly simplified, by focusing on the roots of each family: those roots are given…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
We generalize the hierarchy construction to generic 2+1D topological orders (which can be non-Abelian) by condensing Abelian anyons in one topological order to construct a new one. We show that such construction is reversible and leads to a new equivalence relation between topological orders. We refer to the corresponding equivalent class (the orbit of the hierarchy construction) as “the non-Abelian family”. Each non-Abelian family has one or a few root topological orders with the smallest number of anyon types. All the Abelian topological orders belong to the trivial non-Abelian family whose root is the trivial topological order. We show that Abelian anyons in root topological orders must be bosons or fermions with trivial mutual statistics between them. The classification of topological orders is then greatly simplified, by focusing on the roots of each family: those roots are given by non-Abelian modular extensions of representation categories of Abelian groups.
Hierarchy construction and non-Abelian families of generic topological orders
Tian Lan
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Xiao-Gang Wen
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
Introduction: The ultimate dream of classifying objects in nature may be creating a “table” for them. A classic example of such classification result is the “Periodic Table” for chemical elements. As for the topological orderedWen (1990); Keski-Vakkuri and Wen (1993) phases of matter, which draws more and more research interests recently, we are already able to create some “tables” for themRowell et al. (2009); Barkeshli et al. (2014); Wen (2016); Lan et al. (2016, 2017, 2016), via the theory of (pre-)modular categories. However, efforts are needed to further understand the tables, for example, to reveal some “periodic” structures in the table.
In the Periodic Table, elements are divided into several “families” (the columns of the table), and those in the same family have similar chemical properties. The underlying reason for this is that elements in the same family have similar outer electron structures, and only differ by “noble gas cores”. The last family consists of noble gas elements, which are chemically “inert”, as they have no outer electrons besides the noble gas cores. Thus the “family” can be considered as the equivalent class up to the “inert” noble gas elements.
When it comes to topological orders, we also have “inert” ones: the Abelian topological orders are “inert”, for example, in the application of topological quantum computationKitaev (2003); Freedman et al. (2003). Abelian anyons can not support non-local topological degeneracy, which is an essential difference from non-Abelian anyons. Is it possible to define equivalent classes for topological orders, which are up to Abelian topological orders? In this letter, we use the hierarchy construction to establish such equivalent classes, which we will call the “non-Abelian families”. The hierarchy construction is well known in the study of Abelian fractional quantum Hall (FQH) statesTsui et al. (1982); Laughlin (1983); Haldane (1983); Halperin (1984). In this letter we generalize it to arbitrary (potentially non-Abelian) topological orders.
We show that the generalized hierarchy construction is reversible. Thus, we can say that two topological orders belong to the same “non-Abelian family” if they are related by the hierarchy construction. Each non-Abelian family has special “root” topological orders (see Table 1), with the following properties:
Root states have the smallest rank (number of anyon types) among the non-Abelian family. 2. 2.
Abelian anyons in a root state are all bosons or fermions, and have trivial mutual statistics with each other.
Since any topological order in the same non-Abelian family can be reconstructed from a root state, our work simplifies the classification of generic topological orders to the classification of root states.
Our calculation is based on quantitative characterizations of topological orders. One way to do so is to use the modular matrices obtained from the non-Abelian geometric phases of degenerate ground states on torus Wen (1990); Keski-Vakkuri and Wen (1993). We will show, starting from a topological order described by , how to obtain another topological order described by new via a condensation of Abelian anyons. (For a less general approach based on wave functions, see LABEL:BS07113204.) The calculation uses the theory of fusion and braiding of quasiparticles (which will be called anyons) in topological order. Such a theory is the so called “unitary modular tensor category (UMTC) theory” (for a review and much more details on UMTC, see LABEL:W150605768).
A UMTC is simply a set of anyons (two anyons connected by a local operator are regarded as the same type), plus data to describe their fusion and braiding. Like the fusion of two spin-1 particles give rise to a “direct sum” of spin-0,1,2 particles: , the fusion of two anyons and in general gives rise to a “direct sum” of several other anyons: . So the fusion of anyons is quantitatively described by a rank-3 integer tensor . From , we can determine the internal degrees of freedom of anyons, which is the so called quantum dimension. For example, the quantum dimension of a spin- particle is . For an anyon , its quantum dimension , which can be non-integer, is the largest eigenvalue of matrix with .
After knowing the fusion, the braiding of anyons can be fully determined by the fractional part of their angular momentum : . is called the topological spin (or simply spin) of the anyon . The last piece of data to characterize topological orders is the chiral central charge , which is the number of right-moving edge modes minus the number of left-moving edge modes.
It turns out that two sets of data and can fully determine each other:
[TABLE]
where is the total quantum dimension.
Hierarchy construction in generic topological orders: Let us consider an Abelian anyon condensation in a generic topological order, described by a UMTC . (Such a condensation in an Abelian topological order is discussed in Appendix A.) The anyons in are labeled by . Let be an Abelian anyon in with spin . We condense into the Laughlin state , where even and . 111This is different from the so called “anyon condensation” categorical approach where only bosons condensing into the trivial state is considered. The resulting topological order is described by UMTC , determined by , and .
To calculate , we note that the anyons in are the anyons in dressed with the vortices of the Laughlin state of . The vorticity is given by , where is an integer, and is the mutual statistics angle between anyon and the condensing anyon in the original topological order , which can be extracted from the matrix , or . Thus anyons in are labeled by pairs . We like to ask what is the spin and fusion rules of ?
The spin of is given by the spin of plus the spin of the flux in the Laughlin state:
[TABLE]
Fusing with flux and with flux gives us with flux:
[TABLE]
where is the fusion coefficient in . Since with flux is condensed, fusing with anyon does not change the anyon type in . So, we have an equivalence relation:
[TABLE]
The above three relations fully determine the topological order .Wen (2016); Lan et al. (2016)
It is important to fix a “gauge” for , say by choosing . The same label may label different anyons under different “gauge” choices of . Similarly, we have fixed a “gauge” for that fixed the meaning of . Note that is automatically fixed when is fixed: , while other can be freely chosen. This ensures that the equivalence relation (4) is compatible with fusion (3), where (4) is generated by fusing with the trivial anyon . The combinations , determine the final spins and fusion rules; they are gauge-invariant quantities. Thus, if we change the gauge of , i.e., modify them by some integers, should be modified by the same integers to ensure that the construction remains the same.
Below we will study the properties of in detail. Let . Applying the equivalence relation (4) times, we obtain
[TABLE]
Let be the “period” of , i.e., the smallest positive integer such that . We see that
[TABLE]
Thus, we can focus on the reduced range of . Let denote the rank of respectively. Now within the reduce range of , we have different labels, and we want to show that the orbit generated by the equivalence relation (5) all have the same length, which is . To see this, just note that for , either , or if , ; in other words, the labels are all different within steps. It follows that the rank of is .
Strictly speaking, anyons in should one-to-one correspond to the equivalent classes of . However, as the orbits have the same length, it would be more convenient to use directly (as we will see later, this is the same as working in a pre-modular category ). For example, when we need to sum over anyons in , we can instead do . Now we are ready to calculate other quantities of the new topological order . First, it is easy to see that the quantum dimensions remain the same . The total quantum dimension is then
[TABLE]
The matrix is
[TABLE]
It is straightforward to check that is unitary (with respect to equivalent classes of ). Moreover, this formula for can recover the equivalence relation (5) and fusion rules (3) via unitarity and Verlinde formula.
The new matrices (-matrix is determined by the spin of anyons in (2)), as well as , should both obey the modular relations , from which we can extract the central charge of . The new central charge is found to be (see Appendix B)
[TABLE]
Clearly, the one-step hierarchy construction described by (2), (Hierarchy construction and non-Abelian families of generic topological orders), and (9) is fully determined by an Abelian anyon and , where is an even integer. In Appendix C, we discuss the above hierarchy construction more rigorously at the full categorical level.
As an application, let us explain the “eight-fold way” observed in the table of topological ordersWen (2016); Lan et al. (2016): whenever there is a fermionic quasiparticle, the topological order has eight companions with the same rank and quantum dimensions but different spins and central charges. If we apply the one-step condensation with being a fermion, and , a new topological order of the same rank is obtained. 222Physically this amounts to condensing the fermionic quasiparticle into an integer quantum Hall state. If we instead condense the fermionic quasiparticle into states we are able to obtain the “sixteen fold way”. However, such condensation is beyond the construction of this work. The spins of the anyons carrying fermion parity flux (having non-trivial mutual statistics with the fermion ) are shifted by , and the central charge is shifted by , while all the quantum dimensions remain the same. If we repeat it eight times, we will go back to the original state (up to an state), generating the “eight fold way”.
Reverse construction and non-Abelian families: The one-step condensation from to is always reversible. In , choosing , and repeating the construction, we will go back to . One may first perform the construction for a pre-modular and then reduce the resulting category to a modular category. Taking in (Hierarchy construction and non-Abelian families of generic topological orders) we find that the mutual statistics between and is . Let label the anyons after the above one-step condensation; the new matrix is
[TABLE]
which means that we can identify with ( denotes the anti-particle of ). It is easy to check that they have the same spin . Therefore, , we have come back to the original state . Therefore, generic hierarchy constructions are reversible, which defines an equivalence relation between topological orders. We call the corresponding equivalent classes the “non-Abelian families”.
Now we examine the important quantity which relates the ranks before and after the one-step condensation, . Since is a freely chosen even integer, when is not a boson or fermion ( or ), we can always make , which means that the rank is reduced after one-step condensation. We then have the first important conclusion: Each non-Abelian family have “root” topological orders with the smallest rank; the Abelian anyons in the “root” states are all bosons or fermions.
We can further show that the Abelian bosons or fermions in the “root” states have trivial mutual statistics among them. To see this, assuming that are Abelian anyons in a root state. Since the mutual statistics is given by , and are all bosons or fermions, non-trivial mutual statistics can only be . Now consider two cases: (1) one of , say , is a fermion, then by condensing (choosing , , , ), in the new topological order, the rank remains the same but , which means is an Abelian anyon but neither a boson nor a fermion. By condensing again we can reduce the rank, which conflicts with the “root” state assumption. (2) are all bosons. Still we condense with . In the new topological order the rank is doubled but , which means further condensing with the rank is reduced to , which is again, smaller than the rank of the beginning root state, thus contradictory.
Therefore, in the root states, Abelian anyons are bosons or fermions with trivial mutual statistics. We also have a straightforward corollary: all Abelian topological orders have the same unique root state, which is the trivial topological order. In other words, all Abelian topological orders are in the same trivial non-Abelian family, which resembles the noble gas family in the Periodic Table. Thus, the non-Abelian families are indeed equivalent classes up to Abelian topological orders.
To easily determine if two states belong to the same non-Abelian family, it is very helpful to introduce some non-Abelian invariants. One is the fractional part of the central charge. Since the one-step condensation changes the central charge by (see (9)), we know that central charges in the same non-Abelian family can only differ by integers. Another invariant is the quantum dimension. It is not hard to check that, in the one-step condensation, the number of anyons with the same quantum dimension is also multiplied by . The third invariant is a bit involved. Note that in the one-step condensation, if has trivial mutual statistics with , , then in have the same spin as in and the same mutual statistics with as that between and in . Therefore, the centralizer of Abelian anyons, namely, the subset of anyons that have trivial mutual statistics with all Abelian anyons (the anyons in red in Table 1), is the same within one non-Abelian family. These facts enable us to quickly tell that two states are not in the same non-Abelian family.
Examples: Realizations of non-Abelian FQH states were first proposed in LABEL:Wnab,MR9162. One of them is Wen (1991, 1999)
[TABLE]
where is the many-fermion wave function with filled Landau levels. The bulk effective theory is the Chern-Simons (CS) theory with 3 types of anyons and the edge has (see Appendix D). So the state is one of the root state in Table 1. Another bosonic non-abelian FQH liquid at is Moore and Read (1991)
[TABLE]
whose edge has a chiral central charge . It is the state described by which belong to the same non-Abelian family as the state above. The experimentally realized FQH state is likely to belong to this non-Abelian family Willett et al. (1987); Dolev et al. (2008); Radu et al. (2008).
A more interesting non-Abelian state (which can perform universal topological quantum computation Freedman et al. (2002)) is
[TABLE]
whose edge has a chiral central charge . The bulk effective theory is the CS theory with 4 types of anyons Wen (1991, 1999). So the state is , which belongs to the same non-Abelian family as the state in Table 1 (see Appendix D, which contains more examples of non-Abelian states and non-Abelian families).
We like to remark that the topological orders studied in this paper do not require and do not have any symmetry. However, some topological orders with a automorphism that changes the sign of spins can be realized by time-reversal symmetric states Barkeshli et al. (2016).
Conclusion and Outlook: In this letter we introduced the hierarchy construction in generic topological orders, which established a new equivalence relation: Two topological orders related by the hierarchy construction belong to the same “non-Abelian family”. This reveals intriguing new structures in the classification of topological orders. Non-Abelian families are equivalent classes up to Abelian topological orders. Topological orders in the same non-Abelian family share some properties, such as quantum dimensions and the fractional part of central charges.
In particular we studied the “root” states, the states in a non-Abelian family with the smallest rank. Other states can be constructed from the root states via the hierarchy construction. Thus, classifying all topological orders is the same as classifying all root states, namely, all states such that their Abelian anyons have trivial mutual statistics. In other words, we can try to generate all possible topological orders by constructing all the root states, which can be obtained by starting with an Abelian group , extending its representation category or to a modular categoryLan et al. (2017, 2016) while requiring all the extra anyons being non-Abelian (which is referred to as a non-Abelian modular extension). This is a promising future problem and may be an efficient way to produce tables of topological orders.
Although in this letter we focused on bosonic topological orders with no symmetry (described by modular categories), the construction also applies to bosonic/fermionic topological orders with any symmetry (described by certain pre-modular categories)Lan et al. (2017, 2016). The same argument goes for non-Abelian families and root states with symmetries.
TL thanks Zhenghan Wang for helpful discussions. This research was supported by NSF Grant No. DMR-1506475 and NSFC 11274192.
Appendix A Hierarchy construction in Abelian topological orders
In this section, we will discuss hierarchy construction, *i.e. *Abelian anyon condensation, in Abelian topological orders in a very general setting. This motivates the similar construction for generic non-Abelian states discussed in the main text.
Consider a bosonic Abelian topological order, which can always be described by an even -matrix of dimension . Anyons are labeled by -dimensional integer vectors . Two integer vectors and are equivalent (*i.e. *describe the same type of topological excitation) if they are related by
[TABLE]
where is an arbitrary integer vector. The mutual statistical angle between two anyons, and , is given by
[TABLE]
The spin of the anyon is given by
[TABLE]
In the hierarchy construction of a new topological order from an old one, a basic step is to condense Abelian anyons into a Laughlin-like state. Let us construct a new topological order from the topological order by assuming Abelian anyons labeled by condense. Here we treat the anyon as a bound state between a boson and flux. We then smear the flux such that it behaves like an additional uniform magnetic field, and condense the boson into Laughlin state (where even). The resulting new topological order is described by the -dimensional -matrix
[TABLE]
In the following, we are going to show that, to describe the result of the anyon condensation, we do not need to know directly. We only need to know the spin of the condensing particle
[TABLE]
and the mutual statistics
[TABLE]
between and .
First, we find that, as long as , is invertible with
[TABLE]
The anyons in the new topological order are labeled by -dimensional integer vector . The spin of is
[TABLE]
The vectors and are equivalent if they are related by
[TABLE]
for any -dimensional integer vector and integer . To avoid the gauge ambiguity, for the integer vectors , we pick a representative for each equivalent class (by (14), fixing the gauge). Taking and appropriate such that and are the pre-fixed representatives, we see that
[TABLE]
We also want to express the fusion in the new state in terms of the pre-fixed representatives . Assuming that , and taking and appropriate in (22) (the cases of non-zero can be generated via (23)), we find that
[TABLE]
We can easily calculate the determinant of whose absolute value is the rank of the new state:
[TABLE]
Let . It is an important gauge invariant quantity relating the ranks of the two states. If we perform the condensation with a different anyon and a different even integer , but make sure that and , the new topological order will be the same.
It is worth mentioning that such construction is reversible: for the state, take , and repeat the construction:
[TABLE]
We return to the original state.
Appendix B Calculating the central charge difference of one-step condensation
In the one-step condensation from to , the central charge is changed by . In this section we give the detailed calculation. Firstly, using the modular relation for both and , we find that
[TABLE]
To show , we need to use the reciprocity theorem for generalized Gauss sumsBerndt et al. (1998):
[TABLE]
where are integers, and even. Thus,
[TABLE]
Substituting the above result into (27), we have
[TABLE]
as desired. In fact, based on the physical picture, we have a stronger result
[TABLE]
So the central charge is changed by after the one-step condensation. A direct corollary is that the central charge of an Abelian topological order is given by the signature of its -matrix (the number of positive eigenvalues minus the number of negative eigenvalues).
Appendix C The generalized hierarchy construction
at full categorical level
Does the generalized hierarchy construction from to described by (2), (Hierarchy construction and non-Abelian families of generic topological orders), and (9) always give a valid topological order ? To confirm this, below we will give a more rigorous construction at full categorical level, which goes down to the level of matrices.
The first step is to construct a pre-modular category , based on the observation that the range of the second integer label can be reduced to , and the combination for works as an gauge invariant quantity. Such can be viewed as a version of “semi-direct product” of with . We use the gauge invariant instead of the integer to label anyons in ; in other words, the anyons are labeled by the new pair where and . Fusion is then given by addition
[TABLE]
where denotes the residue modulo . The matrices in are given by those in modified by appropriate phase factors. More precisely, let and be the matrices in ; then in we take
[TABLE]
It is straightforward to check that they satisfy the pentagon and hexagon equations, and is a valid pre-modular category. Moreover, the modified matrices do give us the desired modified spin. This also suggests that the hierarchy construction equally works for pre-modular categories, thus can be easily generalized to topological orders with symmetriesLan et al. (2016, 2017, 2016).
The second step is to reduce the pre-modular category to the modular category . Categorically, just note that forms the Müger center of , which can be identified with ; by condensing this we obtain the desired modular category . Put it simply, we just further impose the equivalence relation (5) in , such that one orbit of length is viewed as one type of anyon instead of different types. This way we rigorously recover the same construction described by (2), (Hierarchy construction and non-Abelian families of generic topological orders), and (9).
Appendix D Tables of non-Abelian families
In this section, we list some non-Abelian families. Each table contains a family up to a certain . Each row corresponds to a topological order. The anyons are listed with increasing quantum dimensions. Only the quantum dimensions of a root state is explicitly given. The quantum dimensions of other topological orders can be easily obtained from those of the root, since the degeneracy for each value of quantum dimension scales linearly with . The anyons in red have trivial mutual statistics with all Abelian anyons. Such sets of anyons are the same within each family, and is an invariant of the non-Abelian family.
The following is the Abelian family:
{\color[rgb]{1,0,0}{0}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4}
{\color[rgb]{1,0,0}{0}},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{2}
{\color[rgb]{1,0,0}{0}},0,\frac{1}{4},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{7}{8},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{3}{8},\frac{3}{8},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{5}{8},\frac{5}{8},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{1}{2},\frac{1}{2},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{1}{5},\frac{1}{5},\frac{4}{5},\frac{4}{5}
{\color[rgb]{1,0,0}{0}},\frac{2}{5},\frac{2}{5},\frac{3}{5},\frac{3}{5}
{\color[rgb]{1,0,0}{0}},\frac{1}{12},\frac{1}{12},\frac{3}{4},\frac{1}{3},\frac{1}{3}
{\color[rgb]{1,0,0}{0}},\frac{11}{12},\frac{11}{12},\frac{1}{4},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{3},\frac{1}{3},\frac{7}{12},\frac{7}{12}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{2}{3},\frac{2}{3},\frac{5}{12},\frac{5}{12}
{\color[rgb]{1,0,0}{0}},\frac{1}{7},\frac{1}{7},\frac{2}{7},\frac{2}{7},\frac{4}{7},\frac{4}{7}
{\color[rgb]{1,0,0}{0}},\frac{6}{7},\frac{6}{7},\frac{5}{7},\frac{5}{7},\frac{3}{7},\frac{3}{7}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{7}{8},\frac{7}{8},\frac{1}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},0,\frac{1}{16},\frac{1}{16},\frac{1}{4},\frac{1}{4},\frac{9}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},0,\frac{13}{16},\frac{13}{16},\frac{1}{4},\frac{1}{4},\frac{5}{16},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},0,\frac{15}{16},\frac{15}{16},\frac{3}{4},\frac{3}{4},\frac{7}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},0,\frac{3}{16},\frac{3}{16},\frac{3}{4},\frac{3}{4},\frac{11}{16},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{1}{4},\frac{3}{4},\frac{3}{8},\frac{3}{8},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{7}{8},\frac{1}{4},\frac{3}{4},\frac{5}{8},\frac{5}{8},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{1}{2},\frac{1}{2},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{3}{4},\frac{1}{2},\frac{1}{2},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},\frac{3}{8},\frac{3}{8},\frac{5}{8},\frac{5}{8},\frac{1}{2}
The following non-Abelian family is described by effective Chern-Simons (CS) theory plus some Abelian CS theories. So it is called the non-Abelian family. Due to the level-rank duality, it is also called the non-Abelian family since its contains a state described by CS theory. We can also call the family as the Fibonacci non-Abelian family since the root state is the Fibonacci non-Abelian state. This family contains FQH state Wen (1991, 1999)
[TABLE]
In general, for a state
[TABLE]
its low energy effective theory obtained from the projective parton construction is given by Wen (1991, 1999)
[TABLE]
where and , and is the gauge field doing the projection. Before the projection (*i.e. *when ) the above effective theory describes a filling fraction IQH state whose edge has a chiral central charge (*i.e. *has right-moving modes). After the projection (*i.e. *after integrating out the non-zero dynamical gauge field ), the edge states will have a reduced central charge
[TABLE]
For our case here, and and we find in (34).
If we integrate out that fermion fields first, we will obtain an effective CS theory at level with central charge . The state (34) and the effective theory (D) has the same number of anyon types as the CS theory But the spins of the anyons in (34) and in (D) is not given by those of CS theory. They may differ by since the anyons in (D) may contain an extra fermion field . So the spins of the anyons in (34) and in (D) are related to the spins in CS theory via
[TABLE]
In other words, the spins of the anyons in (34) and in (D) are related to the spins in CS theory via
[TABLE]
This allows us to identify the state (34) in the table of the non-Abelian family which is marked by the red . We will denote the effective CS theory obtained from (34) by integrating out the fermions as . So the red row in the following table is described by the CS effective theory (D). On the other hand, the row is described by the pure CS effective theory (*i.e. *without coupling to fermionic fields).
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}} CS
\color[rgb]{1,0,0}{4}_{\frac{21}{5}} {\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}} CS
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{8},\frac{3}{8},\frac{1}{2},\frac{39}{40},\frac{39}{40},\frac{1}{10},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{2},\frac{1}{10},\frac{17}{20},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{10},\frac{1}{10},\frac{1}{10},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{1}{2},\frac{1}{10},\frac{29}{40},\frac{29}{40},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{5}{8},\frac{5}{8},\frac{1}{2},\frac{1}{10},\frac{9}{40},\frac{9}{40},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},0,\frac{1}{4},\frac{3}{4},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{5}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{2},\frac{1}{10},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{5},\frac{3}{5}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{2},\frac{1}{10},\frac{7}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{7}{8},\frac{1}{2},\frac{1}{10},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{19}{40},\frac{19}{40}
{\color[rgb]{1,0,0}{0}},\frac{2}{5},\frac{2}{5},\frac{3}{5},\frac{3}{5},0,0,\frac{1}{5},\frac{1}{5},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{5},\frac{1}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{2}{5},\frac{2}{5},{\color[rgb]{1,0,0}{\frac{3}{5}}}
The following non-Abelian family is described by effective CS theory. So it is called the non-Abelian family. The states in the following table are time-reversal conjugates of those in the previous table. This family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}} CS
{\color[rgb]{1,0,0}{4}_{\frac{19}{5}}} {\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}} CS
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{5}{8},\frac{5}{8},\frac{1}{2},\frac{1}{40},\frac{1}{40},\frac{9}{10},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{2},\frac{9}{10},\frac{3}{20},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{9}{10},\frac{9}{10},\frac{9}{10},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{7}{8},\frac{1}{2},\frac{9}{10},\frac{11}{40},\frac{11}{40},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{8},\frac{3}{8},\frac{1}{2},\frac{9}{10},\frac{31}{40},\frac{31}{40},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},0,\frac{1}{4},\frac{3}{4},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{2}{5}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{2},\frac{9}{10},\frac{2}{5},\frac{2}{5},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{2},\frac{9}{10},\frac{13}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{1}{2},\frac{9}{10},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{21}{40},\frac{21}{40}
{\color[rgb]{1,0,0}{0}},\frac{2}{5},\frac{2}{5},\frac{3}{5},\frac{3}{5},0,0,\frac{4}{5},\frac{4}{5},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{5},\frac{1}{5},\frac{4}{5},\frac{4}{5},\frac{1}{5},\frac{1}{5},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{3}{5},\frac{3}{5}
The following Ising non-Abelian family contains FQH states Wen (1991, 1999); Moore and Read (1991)
[TABLE]
and
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16}
\color[rgb]{1,0,0}{3}_{\frac{3}{2}} {\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16}
\color[rgb]{1,0,0}{3}_{\frac{5}{2}} {\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{48},\frac{7}{48},\frac{13}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{47}{48},\frac{47}{48},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{48},\frac{1}{48},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{41}{48},\frac{41}{48},\frac{3}{16}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{48},\frac{13}{48}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{48},\frac{5}{48},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{43}{48},\frac{43}{48},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{35}{48},\frac{35}{48}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{19}{48},\frac{19}{48}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{48},\frac{11}{48},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{37}{48},\frac{37}{48},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{29}{48},\frac{29}{48}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{25}{48},\frac{25}{48}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{17}{48},\frac{17}{48}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{31}{48},\frac{31}{48}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{23}{48},\frac{23}{48}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}}
\color[rgb]{1,0,0}{6}_{\frac{1}{7}} {\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21}
{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{7}{8},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{41}{56},\frac{41}{56},\frac{5}{14},\frac{9}{56},\frac{9}{56},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{14},\frac{17}{28},\frac{17}{28},\frac{1}{28},\frac{1}{28},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},0,\frac{1}{4},\frac{3}{4},\frac{3}{28},\frac{6}{7},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{17}{28},\frac{1}{28},\frac{2}{7},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{2},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{6}{7},\frac{6}{7},\frac{5}{14},\frac{11}{14},\frac{2}{7},\frac{2}{7},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{5}{8},\frac{5}{8},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{14},\frac{27}{56},\frac{27}{56},\frac{51}{56},\frac{51}{56},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{1}{2},\frac{55}{56},\frac{55}{56},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{14},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{23}{56},\frac{23}{56}
{\color[rgb]{1,0,0}{0}},\frac{1}{2},\frac{1}{2},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{14},\frac{5}{14},\frac{5}{14},\frac{11}{14},\frac{11}{14},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{2},\frac{3}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{14},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{15}{28}
{\color[rgb]{1,0,0}{0}},\frac{3}{8},\frac{3}{8},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{13}{56},\frac{13}{56},\frac{5}{14},\frac{11}{14},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{37}{56},\frac{37}{56}
The following non-Abelian family (or non-Abelian family) contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}}
\color[rgb]{1,0,0}{6}_{\frac{55}{7}} {\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21}
{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{1}{8},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{15}{56},\frac{15}{56},\frac{9}{14},\frac{47}{56},\frac{47}{56},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{9}{14},\frac{11}{28},\frac{11}{28},\frac{27}{28},\frac{27}{28},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},0,\frac{1}{4},\frac{3}{4},\frac{25}{28},\frac{1}{7},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{5}{7},\frac{13}{28}
{\color[rgb]{1,0,0}{0}},0,0,\frac{1}{2},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{1}{7},\frac{1}{7},\frac{9}{14},\frac{3}{14},\frac{5}{7},\frac{5}{7},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{8},\frac{3}{8},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{9}{14},\frac{29}{56},\frac{29}{56},\frac{5}{56},\frac{5}{56},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{7}{8},\frac{1}{2},\frac{1}{56},\frac{1}{56},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{9}{14},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{33}{56},\frac{33}{56}
{\color[rgb]{1,0,0}{0}},\frac{1}{2},\frac{1}{2},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{9}{14},\frac{9}{14},\frac{9}{14},\frac{3}{14},\frac{3}{14},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{2},\frac{25}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{9}{14},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{13}{28}
{\color[rgb]{1,0,0}{0}},\frac{5}{8},\frac{5}{8},\frac{1}{2},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{43}{56},\frac{43}{56},\frac{9}{14},\frac{3}{14},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{19}{56},\frac{19}{56}
The following three non-Abelian families are obtained by stacking two FQH states from the two Fibonacci non-Abelian families.
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},\frac{1}{4}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{2}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{35}{36},{\color[rgb]{1,0,0}{\frac{2}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12}
\color[rgb]{1,0,0}{8}_{\frac{13}{3}} {\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{17}{36},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{8}{9},\frac{8}{9},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{5}{9},\frac{5}{9},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{36},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12}
\color[rgb]{1,0,0}{8}_{\frac{11}{3}} {\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},{\color[rgb]{1,0,0}{\frac{7}{9}}},\frac{19}{36},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{9},\frac{1}{9},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{7}{9}}},\frac{4}{9},\frac{4}{9},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{5}{8},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{3}{8},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12}
\color[rgb]{1,0,0}{1}0_{3} {\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12} ,
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{1}{24},\frac{1}{24},\frac{7}{8},\frac{3}{8},\frac{13}{24},\frac{13}{24},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{1}{8},\frac{19}{24},\frac{19}{24},\frac{7}{24},\frac{7}{24},\frac{5}{8},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{23}{24},\frac{23}{24},\frac{1}{8},\frac{5}{8},\frac{11}{24},\frac{11}{24},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{7}{8},\frac{5}{24},\frac{5}{24},\frac{17}{24},\frac{17}{24},\frac{3}{8},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{7}{8},\frac{3}{8},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{8},\frac{5}{8},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12}
\color[rgb]{1,0,0}{1}0_{5} {\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12} ,
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{7}{8},\frac{5}{24},\frac{5}{24},\frac{17}{24},\frac{17}{24},\frac{3}{8},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{23}{24},\frac{23}{24},\frac{1}{8},\frac{5}{8},\frac{11}{24},\frac{11}{24},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{1}{8},\frac{19}{24},\frac{19}{24},\frac{7}{24},\frac{7}{24},\frac{5}{8},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{1}{24},\frac{1}{24},\frac{7}{8},\frac{3}{8},\frac{13}{24},\frac{13}{24},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{9}{11}}},{\color[rgb]{1,0,0}{\frac{2}{11}}},{\color[rgb]{1,0,0}{\frac{1}{11}}},{\color[rgb]{1,0,0}{\frac{6}{11}}}
\color[rgb]{1,0,0}{1}0_{\frac{5}{11}} {\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{9}{11}}},\frac{25}{44},\frac{41}{44},{\color[rgb]{1,0,0}{\frac{2}{11}}},{\color[rgb]{1,0,0}{\frac{1}{11}}},\frac{37}{44},\frac{13}{44},{\color[rgb]{1,0,0}{\frac{6}{11}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{44},{\color[rgb]{1,0,0}{\frac{9}{11}}},{\color[rgb]{1,0,0}{\frac{2}{11}}},\frac{19}{44},{\color[rgb]{1,0,0}{\frac{1}{11}}},\frac{15}{44},\frac{35}{44},{\color[rgb]{1,0,0}{\frac{6}{11}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{9}{11}}},\frac{16}{33},\frac{16}{33},\frac{28}{33},\frac{28}{33},{\color[rgb]{1,0,0}{\frac{2}{11}}},{\color[rgb]{1,0,0}{\frac{1}{11}}},\frac{25}{33},\frac{25}{33},\frac{7}{33},\frac{7}{33},{\color[rgb]{1,0,0}{\frac{6}{11}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{5}{33},\frac{5}{33},{\color[rgb]{1,0,0}{\frac{9}{11}}},{\color[rgb]{1,0,0}{\frac{2}{11}}},\frac{17}{33},\frac{17}{33},{\color[rgb]{1,0,0}{\frac{1}{11}}},\frac{14}{33},\frac{14}{33},\frac{29}{33},\frac{29}{33},{\color[rgb]{1,0,0}{\frac{6}{11}}}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{11}}},{\color[rgb]{1,0,0}{\frac{9}{11}}},{\color[rgb]{1,0,0}{\frac{10}{11}}},{\color[rgb]{1,0,0}{\frac{5}{11}}}
\color[rgb]{1,0,0}{1}0_{\frac{83}{11}} {\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{2}{11}}},\frac{19}{44},\frac{3}{44},{\color[rgb]{1,0,0}{\frac{9}{11}}},{\color[rgb]{1,0,0}{\frac{10}{11}}},\frac{7}{44},\frac{31}{44},{\color[rgb]{1,0,0}{\frac{5}{11}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{41}{44},{\color[rgb]{1,0,0}{\frac{2}{11}}},{\color[rgb]{1,0,0}{\frac{9}{11}}},\frac{25}{44},{\color[rgb]{1,0,0}{\frac{10}{11}}},\frac{29}{44},\frac{9}{44},{\color[rgb]{1,0,0}{\frac{5}{11}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{11}}},\frac{17}{33},\frac{17}{33},\frac{5}{33},\frac{5}{33},{\color[rgb]{1,0,0}{\frac{9}{11}}},{\color[rgb]{1,0,0}{\frac{10}{11}}},\frac{8}{33},\frac{8}{33},\frac{26}{33},\frac{26}{33},{\color[rgb]{1,0,0}{\frac{5}{11}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{28}{33},\frac{28}{33},{\color[rgb]{1,0,0}{\frac{2}{11}}},{\color[rgb]{1,0,0}{\frac{9}{11}}},\frac{16}{33},\frac{16}{33},{\color[rgb]{1,0,0}{\frac{10}{11}}},\frac{19}{33},\frac{19}{33},\frac{4}{33},\frac{4}{33},{\color[rgb]{1,0,0}{\frac{5}{11}}}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{17}{28},\frac{17}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{5}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{11}{28},\frac{19}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}}
\color[rgb]{1,0,0}{1}5_{\frac{4}{7}} {\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{11}{21},\frac{11}{21},\frac{11}{21},\frac{11}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{2}{21},\frac{2}{21},{\color[rgb]{1,0,0}{\frac{3}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{4}{21},\frac{4}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{10}{21},\frac{10}{21},\frac{16}{21},\frac{16}{21},{\color[rgb]{1,0,0}{\frac{3}{7}}}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{11}{28},\frac{11}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{23}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{25}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{17}{28},\frac{9}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}}
\color[rgb]{1,0,0}{1}5_{\frac{52}{7}} {\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{10}{21},\frac{10}{21},\frac{10}{21},\frac{10}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{19}{21},\frac{19}{21},{\color[rgb]{1,0,0}{\frac{4}{7}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{17}{21},\frac{17}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{11}{21},\frac{11}{21},\frac{5}{21},\frac{5}{21},{\color[rgb]{1,0,0}{\frac{4}{7}}}
The following four non-Abelian families are obtained by stacking a FQH state from the two non-Abelian families with a FQH state from the two non-Abelian families.
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{19}{35}}},{\color[rgb]{1,0,0}{\frac{4}{35}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{41}{140},{\color[rgb]{1,0,0}{\frac{19}{35}}},{\color[rgb]{1,0,0}{\frac{4}{35}}},\frac{121}{140}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{111}{140},{\color[rgb]{1,0,0}{\frac{19}{35}}},{\color[rgb]{1,0,0}{\frac{4}{35}}},\frac{51}{140}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{22}{105},\frac{22}{105},{\color[rgb]{1,0,0}{\frac{19}{35}}},{\color[rgb]{1,0,0}{\frac{4}{35}}},\frac{82}{105},\frac{82}{105}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{92}{105},\frac{92}{105},{\color[rgb]{1,0,0}{\frac{19}{35}}},{\color[rgb]{1,0,0}{\frac{4}{35}}},\frac{47}{105},\frac{47}{105}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{9}{35}}},{\color[rgb]{1,0,0}{\frac{24}{35}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{1}{140},{\color[rgb]{1,0,0}{\frac{9}{35}}},{\color[rgb]{1,0,0}{\frac{24}{35}}},\frac{61}{140}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},{\color[rgb]{1,0,0}{\frac{9}{35}}},\frac{71}{140},\frac{131}{140},{\color[rgb]{1,0,0}{\frac{24}{35}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{97}{105},\frac{97}{105},{\color[rgb]{1,0,0}{\frac{9}{35}}},{\color[rgb]{1,0,0}{\frac{24}{35}}},\frac{37}{105},\frac{37}{105}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},{\color[rgb]{1,0,0}{\frac{9}{35}}},\frac{62}{105},\frac{62}{105},\frac{2}{105},\frac{2}{105},{\color[rgb]{1,0,0}{\frac{24}{35}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{26}{35}}},{\color[rgb]{1,0,0}{\frac{11}{35}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{139}{140},{\color[rgb]{1,0,0}{\frac{26}{35}}},{\color[rgb]{1,0,0}{\frac{11}{35}}},\frac{79}{140}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},{\color[rgb]{1,0,0}{\frac{26}{35}}},\frac{69}{140},\frac{9}{140},{\color[rgb]{1,0,0}{\frac{11}{35}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{105},\frac{8}{105},{\color[rgb]{1,0,0}{\frac{26}{35}}},{\color[rgb]{1,0,0}{\frac{11}{35}}},\frac{68}{105},\frac{68}{105}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},{\color[rgb]{1,0,0}{\frac{26}{35}}},\frac{43}{105},\frac{43}{105},\frac{103}{105},\frac{103}{105},{\color[rgb]{1,0,0}{\frac{11}{35}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{16}{35}}},{\color[rgb]{1,0,0}{\frac{31}{35}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{99}{140},{\color[rgb]{1,0,0}{\frac{16}{35}}},{\color[rgb]{1,0,0}{\frac{31}{35}}},\frac{19}{140}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{29}{140},{\color[rgb]{1,0,0}{\frac{16}{35}}},{\color[rgb]{1,0,0}{\frac{31}{35}}},\frac{89}{140}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{83}{105},\frac{83}{105},{\color[rgb]{1,0,0}{\frac{16}{35}}},{\color[rgb]{1,0,0}{\frac{31}{35}}},\frac{23}{105},\frac{23}{105}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{105},\frac{13}{105},{\color[rgb]{1,0,0}{\frac{16}{35}}},{\color[rgb]{1,0,0}{\frac{31}{35}}},\frac{58}{105},\frac{58}{105}
The following two non-Abelian families are obtained by stacking a FQH state from the two Fibonacci non-Abelian families with a FQH state from the Ising non-Abelian family.
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{7}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{77}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{67}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{27}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{57}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{37}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{47}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{77}{80},\frac{17}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{7}{80},\frac{67}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{7}{80},\frac{27}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{77}{80},\frac{57}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{80},\frac{37}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{67}{80},\frac{47}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{27}{80},\frac{47}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{3}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{57}{80},\frac{37}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{29}{48},\frac{29}{48},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{1}{240},\frac{1}{240},\frac{27}{80}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{37}{48},\frac{37}{48},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{67}{80},\frac{41}{240},\frac{41}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{31}{48},\frac{31}{48},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{11}{240},\frac{11}{240},\frac{57}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{23}{48},\frac{23}{48},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{211}{240},\frac{211}{240},\frac{17}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{35}{48},\frac{35}{48},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{31}{240},\frac{31}{240},\frac{37}{80}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{43}{48},\frac{43}{48},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{77}{80},\frac{71}{240},\frac{71}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{25}{48},\frac{25}{48},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{221}{240},\frac{221}{240},\frac{47}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{17}{48},\frac{17}{48},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{7}{80},\frac{181}{240},\frac{181}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{48},\frac{1}{48},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{7}{80},\frac{101}{240},\frac{101}{240}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{41}{48},\frac{41}{48},\frac{3}{16},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{61}{240},\frac{61}{240},\frac{47}{80}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{19}{48},\frac{19}{48},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{191}{240},\frac{191}{240},\frac{37}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{48},\frac{11}{48},\frac{9}{16},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{77}{80},\frac{151}{240},\frac{151}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{48},\frac{7}{48},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{80},\frac{131}{240},\frac{131}{240}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{47}{48},\frac{47}{48},\frac{5}{16},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{57}{80},\frac{91}{240},\frac{91}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{48},\frac{13}{48},{\color[rgb]{1,0,0}{\frac{9}{10}}},\frac{7}{30},\frac{7}{30},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{161}{240},\frac{161}{240},\frac{27}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{48},\frac{5}{48},\frac{7}{16},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{9}{10}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{17}{30},\frac{17}{30},\frac{67}{80},\frac{121}{240},\frac{121}{240}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{73}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{63}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{53}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{23}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{43}{80}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{33}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{80},\frac{63}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{73}{80},\frac{13}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{73}{80},\frac{53}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{80},\frac{23}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{63}{80},\frac{43}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{80},\frac{33}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{53}{80},\frac{33}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{17}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{23}{80},\frac{43}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{48},\frac{11}{48},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{80},\frac{199}{240},\frac{199}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{19}{48},\frac{19}{48},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{239}{240},\frac{239}{240},\frac{53}{80}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{25}{48},\frac{25}{48},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{29}{240},\frac{29}{240},\frac{63}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{17}{48},\frac{17}{48},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{229}{240},\frac{229}{240},\frac{23}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{48},\frac{5}{48},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{80},\frac{169}{240},\frac{169}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{48},\frac{13}{48},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{209}{240},\frac{209}{240},\frac{43}{80}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{31}{48},\frac{31}{48},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{73}{80},\frac{59}{240},\frac{59}{240}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{23}{48},\frac{23}{48},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{19}{240},\frac{19}{240},\frac{33}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{47}{48},\frac{47}{48},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{73}{80},\frac{139}{240},\frac{139}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{48},\frac{7}{48},\frac{13}{16},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{179}{240},\frac{179}{240},\frac{33}{80}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{37}{48},\frac{37}{48},\frac{7}{16},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{3}{80},\frac{89}{240},\frac{89}{240}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{29}{48},\frac{29}{48},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{49}{240},\frac{49}{240},\frac{43}{80}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{41}{48},\frac{41}{48},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{63}{80},\frac{109}{240},\frac{109}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{48},\frac{1}{48},\frac{11}{16},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{23}{80},\frac{149}{240},\frac{149}{240}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{43}{48},\frac{43}{48},\frac{9}{16},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{1}{10}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{30},\frac{13}{30},\frac{13}{80},\frac{119}{240},\frac{119}{240}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{35}{48},\frac{35}{48},{\color[rgb]{1,0,0}{\frac{1}{10}}},\frac{23}{30},\frac{23}{30},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{79}{240},\frac{79}{240},\frac{53}{80}
non-Abelian family:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},0,\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{1}{4},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{9}{20},0,\frac{1}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{9}{20},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{9}{20},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},0,\frac{1}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{8}{15},\frac{8}{15},0,\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{8}{15},\frac{8}{15},\frac{1}{12},\frac{1}{12},\frac{1}{4},\frac{3}{4},\frac{7}{12},\frac{7}{12}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15},\frac{11}{12},\frac{11}{12},\frac{1}{4},\frac{3}{4},\frac{5}{12},\frac{5}{12}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15},0,\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},\frac{1}{2}
non-Abelian family:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{1}{4},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{3}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,\frac{1}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{3}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{3}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{17}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,\frac{1}{4},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{17}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{17}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{11}{12},\frac{11}{12},\frac{1}{4},\frac{3}{4},\frac{5}{12},\frac{5}{12}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{1}{12},\frac{1}{12},\frac{1}{4},\frac{3}{4},\frac{7}{12},\frac{7}{12}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},\frac{1}{2}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{4}{13}}},{\color[rgb]{1,0,0}{\frac{2}{13}}},{\color[rgb]{1,0,0}{\frac{7}{13}}},{\color[rgb]{1,0,0}{\frac{6}{13}}},{\color[rgb]{1,0,0}{\frac{12}{13}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{52},{\color[rgb]{1,0,0}{\frac{4}{13}}},\frac{47}{52},{\color[rgb]{1,0,0}{\frac{2}{13}}},\frac{15}{52},{\color[rgb]{1,0,0}{\frac{7}{13}}},\frac{11}{52},{\color[rgb]{1,0,0}{\frac{6}{13}}},{\color[rgb]{1,0,0}{\frac{12}{13}}},\frac{35}{52}
\color[rgb]{1,0,0}{1}2_{\frac{59}{13}} {\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{4}{13}}},\frac{29}{52},{\color[rgb]{1,0,0}{\frac{2}{13}}},\frac{21}{52},\frac{41}{52},{\color[rgb]{1,0,0}{\frac{7}{13}}},\frac{37}{52},{\color[rgb]{1,0,0}{\frac{6}{13}}},{\color[rgb]{1,0,0}{\frac{12}{13}}},\frac{9}{52}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{38}{39},\frac{38}{39},{\color[rgb]{1,0,0}{\frac{4}{13}}},{\color[rgb]{1,0,0}{\frac{2}{13}}},\frac{32}{39},\frac{32}{39},\frac{8}{39},\frac{8}{39},{\color[rgb]{1,0,0}{\frac{7}{13}}},\frac{5}{39},\frac{5}{39},{\color[rgb]{1,0,0}{\frac{6}{13}}},{\color[rgb]{1,0,0}{\frac{12}{13}}},\frac{23}{39},\frac{23}{39}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{4}{13}}},\frac{25}{39},\frac{25}{39},{\color[rgb]{1,0,0}{\frac{2}{13}}},\frac{19}{39},\frac{19}{39},\frac{34}{39},\frac{34}{39},{\color[rgb]{1,0,0}{\frac{7}{13}}},\frac{31}{39},\frac{31}{39},{\color[rgb]{1,0,0}{\frac{6}{13}}},{\color[rgb]{1,0,0}{\frac{12}{13}}},\frac{10}{39},\frac{10}{39}
The following non-Abelian family contains FQH state Wen (1991, 1999)
[TABLE]
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{9}{13}}},{\color[rgb]{1,0,0}{\frac{11}{13}}},{\color[rgb]{1,0,0}{\frac{6}{13}}},{\color[rgb]{1,0,0}{\frac{7}{13}}},{\color[rgb]{1,0,0}{\frac{1}{13}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{49}{52},{\color[rgb]{1,0,0}{\frac{9}{13}}},\frac{5}{52},{\color[rgb]{1,0,0}{\frac{11}{13}}},\frac{37}{52},{\color[rgb]{1,0,0}{\frac{6}{13}}},\frac{41}{52},{\color[rgb]{1,0,0}{\frac{7}{13}}},{\color[rgb]{1,0,0}{\frac{1}{13}}},\frac{17}{52}
\color[rgb]{1,0,0}{1}2_{\frac{45}{13}} {\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{9}{13}}},\frac{23}{52},{\color[rgb]{1,0,0}{\frac{11}{13}}},\frac{31}{52},\frac{11}{52},{\color[rgb]{1,0,0}{\frac{6}{13}}},\frac{15}{52},{\color[rgb]{1,0,0}{\frac{7}{13}}},{\color[rgb]{1,0,0}{\frac{1}{13}}},\frac{43}{52}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{39},\frac{1}{39},{\color[rgb]{1,0,0}{\frac{9}{13}}},{\color[rgb]{1,0,0}{\frac{11}{13}}},\frac{7}{39},\frac{7}{39},\frac{31}{39},\frac{31}{39},{\color[rgb]{1,0,0}{\frac{6}{13}}},\frac{34}{39},\frac{34}{39},{\color[rgb]{1,0,0}{\frac{7}{13}}},{\color[rgb]{1,0,0}{\frac{1}{13}}},\frac{16}{39},\frac{16}{39}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{9}{13}}},\frac{14}{39},\frac{14}{39},{\color[rgb]{1,0,0}{\frac{11}{13}}},\frac{20}{39},\frac{20}{39},\frac{5}{39},\frac{5}{39},{\color[rgb]{1,0,0}{\frac{6}{13}}},\frac{8}{39},\frac{8}{39},{\color[rgb]{1,0,0}{\frac{7}{13}}},{\color[rgb]{1,0,0}{\frac{1}{13}}},\frac{29}{39},\frac{29}{39}
The following is the non-Abelian family:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},\frac{31}{36},\frac{31}{36},\frac{31}{36},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},\frac{13}{36},\frac{13}{36},\frac{13}{36},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},{\color[rgb]{1,0,0}{\frac{1}{9}}},\frac{4}{9},\frac{4}{9},\frac{4}{9},\frac{4}{9},\frac{4}{9},\frac{4}{9},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}}
The following is the non-Abelian family:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},\frac{5}{36},\frac{5}{36},\frac{5}{36},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},\frac{23}{36},\frac{23}{36},\frac{23}{36},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},\frac{2}{9},\frac{2}{9},\frac{2}{9},\frac{2}{9},\frac{2}{9},\frac{2}{9},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},{\color[rgb]{1,0,0}{\frac{8}{9}}},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}}
The following is the non-Abelian family:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{17}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{13}{28},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{27}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{19}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{21},\frac{2}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{11}{21},\frac{11}{21},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{16}{21},\frac{16}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3}
The following is the non-Abelian family:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{23}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{11}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{15}{28},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{1}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{9}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{19}{21},\frac{19}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{10}{21},\frac{10}{21},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{5}{21},\frac{5}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}}
The following are other non-Abelian families:
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{27}{32},\frac{27}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{23}{32},\frac{23}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{3}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{31}{32},\frac{31}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{11}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{19}{32},\frac{19}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{31}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{32},\frac{3}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{15}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{32},\frac{15}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{27}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{32},\frac{7}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{19}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{32},\frac{11}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{23}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{31}{32},\frac{31}{32},\frac{23}{32},\frac{23}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{3}{32},\frac{11}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{27}{32},\frac{27}{32},\frac{19}{32},\frac{19}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{31}{32},\frac{7}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{32},\frac{3}{32},\frac{27}{32},\frac{27}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{7}{32},\frac{15}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{23}{32},\frac{23}{32},\frac{15}{32},\frac{15}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{3}{32},\frac{27}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{31}{32},\frac{31}{32},\frac{7}{32},\frac{7}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{11}{32},\frac{19}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{32},\frac{11}{32},\frac{19}{32},\frac{19}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{31}{32},\frac{23}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{32},\frac{3}{32},\frac{11}{32},\frac{11}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{23}{32},\frac{15}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{32},\frac{7}{32},\frac{15}{32},\frac{15}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{27}{32},\frac{19}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{89}{96},\frac{89}{96},\frac{89}{96},\frac{89}{96},\frac{19}{32},\frac{19}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{31}{32},\frac{29}{96},\frac{29}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{32},\frac{3}{32},\frac{73}{96},\frac{73}{96},\frac{73}{96},\frac{73}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{13}{96},\frac{13}{96},\frac{15}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{31}{32},\frac{31}{32},\frac{61}{96},\frac{61}{96},\frac{61}{96},\frac{61}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{1}{96},\frac{1}{96},\frac{11}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{77}{96},\frac{77}{96},\frac{77}{96},\frac{77}{96},\frac{15}{32},\frac{15}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{27}{32},\frac{17}{96},\frac{17}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{96},\frac{5}{96},\frac{5}{96},\frac{5}{96},\frac{23}{32},\frac{23}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{3}{32},\frac{41}{96},\frac{41}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{85}{96},\frac{85}{96},\frac{85}{96},\frac{85}{96},\frac{7}{32},\frac{7}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{25}{96},\frac{25}{96},\frac{19}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{27}{32},\frac{27}{32},\frac{49}{96},\frac{49}{96},\frac{49}{96},\frac{49}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{85}{96},\frac{85}{96},\frac{7}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{65}{96},\frac{65}{96},\frac{65}{96},\frac{65}{96},\frac{11}{32},\frac{11}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{5}{96},\frac{5}{96},\frac{23}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{96},\frac{1}{96},\frac{1}{96},\frac{1}{96},\frac{11}{32},\frac{11}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{23}{32},\frac{37}{96},\frac{37}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{27}{32},\frac{27}{32},\frac{17}{96},\frac{17}{96},\frac{17}{96},\frac{17}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{7}{32},\frac{53}{96},\frac{53}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{32},\frac{7}{32},\frac{53}{96},\frac{53}{96},\frac{53}{96},\frac{53}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{89}{96},\frac{89}{96},\frac{19}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{23}{32},\frac{23}{32},\frac{37}{96},\frac{37}{96},\frac{37}{96},\frac{37}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{3}{32},\frac{73}{96},\frac{73}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{96},\frac{13}{96},\frac{13}{96},\frac{13}{96},\frac{15}{32},\frac{15}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{27}{32},\frac{49}{96},\frac{49}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{31}{32},\frac{31}{32},\frac{29}{96},\frac{29}{96},\frac{29}{96},\frac{29}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{65}{96},\frac{65}{96},\frac{11}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{32},\frac{3}{32},\frac{41}{96},\frac{41}{96},\frac{41}{96},\frac{41}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{77}{96},\frac{77}{96},\frac{15}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{25}{96},\frac{25}{96},\frac{25}{96},\frac{25}{96},\frac{19}{32},\frac{19}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{31}{32},\frac{61}{96},\frac{61}{96}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{32},\frac{5}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{25}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{32},\frac{9}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{29}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{32},\frac{1}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{21}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{32},\frac{13}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{29}{32},\frac{29}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{17}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{17}{32},\frac{17}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{25}{32},\frac{25}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{13}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{21}{32},\frac{21}{32},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{9}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{32},\frac{1}{32},\frac{9}{32},\frac{9}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{29}{32},\frac{21}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{32},\frac{5}{32},\frac{13}{32},\frac{13}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{1}{32},\frac{25}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{29}{32},\frac{29}{32},\frac{5}{32},\frac{5}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{25}{32},\frac{17}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{32},\frac{9}{32},\frac{17}{32},\frac{17}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{29}{32},\frac{5}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{32},\frac{1}{32},\frac{25}{32},\frac{25}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{21}{32},\frac{13}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{21}{32},\frac{21}{32},\frac{13}{32},\frac{13}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{1}{32},\frac{9}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{29}{32},\frac{29}{32},\frac{21}{32},\frac{21}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{9}{32},\frac{17}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{25}{32},\frac{25}{32},\frac{17}{32},\frac{17}{32},0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{5}{32},\frac{13}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{29}{32},\frac{29}{32},\frac{23}{96},\frac{23}{96},\frac{23}{96},\frac{23}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{83}{96},\frac{83}{96},\frac{17}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{96},\frac{7}{96},\frac{7}{96},\frac{7}{96},\frac{13}{32},\frac{13}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{1}{32},\frac{67}{96},\frac{67}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{32},\frac{1}{32},\frac{35}{96},\frac{35}{96},\frac{35}{96},\frac{35}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{95}{96},\frac{95}{96},\frac{21}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{19}{96},\frac{19}{96},\frac{19}{96},\frac{19}{96},\frac{17}{32},\frac{17}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{5}{32},\frac{79}{96},\frac{79}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{91}{96},\frac{91}{96},\frac{91}{96},\frac{91}{96},\frac{9}{32},\frac{9}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{29}{32},\frac{55}{96},\frac{55}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{96},\frac{11}{96},\frac{11}{96},\frac{11}{96},\frac{25}{32},\frac{25}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{71}{96},\frac{71}{96},\frac{13}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{31}{96},\frac{31}{96},\frac{31}{96},\frac{31}{96},\frac{21}{32},\frac{21}{32},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{91}{96},\frac{91}{96},\frac{9}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{32},\frac{5}{32},\frac{47}{96},\frac{47}{96},\frac{47}{96},\frac{47}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{11}{96},\frac{11}{96},\frac{25}{32}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{32},\frac{5}{32},\frac{79}{96},\frac{79}{96},\frac{79}{96},\frac{79}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{25}{32},\frac{43}{96},\frac{43}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{95}{96},\frac{95}{96},\frac{95}{96},\frac{95}{96},\frac{21}{32},\frac{21}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{9}{32},\frac{59}{96},\frac{59}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{25}{32},\frac{25}{32},\frac{43}{96},\frac{43}{96},\frac{43}{96},\frac{43}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{7}{96},\frac{7}{96},\frac{13}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{32},\frac{9}{32},\frac{59}{96},\frac{59}{96},\frac{59}{96},\frac{59}{96},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{29}{32},\frac{23}{96},\frac{23}{96}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{83}{96},\frac{83}{96},\frac{83}{96},\frac{83}{96},\frac{17}{32},\frac{17}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{5}{32},\frac{47}{96},\frac{47}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{32},\frac{1}{32},\frac{67}{96},\frac{67}{96},\frac{67}{96},\frac{67}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{31}{96},\frac{31}{96},\frac{21}{32}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{71}{96},\frac{71}{96},\frac{71}{96},\frac{71}{96},\frac{13}{32},\frac{13}{32},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{7}{12},\frac{7}{12},\frac{1}{32},\frac{35}{96},\frac{35}{96}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{29}{32},\frac{29}{32},\frac{55}{96},\frac{55}{96},\frac{55}{96},\frac{55}{96},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{19}{96},\frac{19}{96},\frac{17}{32}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{1}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{7}{8},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{9}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{9}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{28},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{9}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{23}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{11}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{15}{28},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{23}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{11}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{15}{28},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{23}{28},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{11}{28},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{15}{28},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{5}{21},\frac{5}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{1}{24},\frac{1}{24},\frac{7}{8},\frac{3}{8},\frac{13}{24},\frac{13}{24}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{5}{21},\frac{5}{21},{\color[rgb]{1,0,0}{\frac{2}{7}}},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{1}{8},\frac{19}{24},\frac{19}{24},\frac{7}{24},\frac{7}{24},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{19}{21},\frac{19}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{10}{21},\frac{10}{21},\frac{23}{24},\frac{23}{24},\frac{1}{8},\frac{5}{8},\frac{11}{24},\frac{11}{24}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{19}{21},\frac{19}{21},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},{\color[rgb]{1,0,0}{\frac{4}{7}}},\frac{10}{21},\frac{10}{21},\frac{7}{8},\frac{5}{24},\frac{5}{24},\frac{17}{24},\frac{17}{24},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{7}{8},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{1}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{27}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{19}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{27}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{19}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{27}{28},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{19}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{17}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{13}{28},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{17}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{13}{28},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{5}{28},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{17}{28},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{13}{28},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{16}{21},\frac{16}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{7}{8},\frac{5}{24},\frac{5}{24},\frac{17}{24},\frac{17}{24},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{16}{21},\frac{16}{21},{\color[rgb]{1,0,0}{\frac{5}{7}}},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{23}{24},\frac{23}{24},\frac{1}{8},\frac{5}{8},\frac{11}{24},\frac{11}{24}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{21},\frac{2}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{11}{21},\frac{11}{21},\frac{1}{8},\frac{19}{24},\frac{19}{24},\frac{7}{24},\frac{7}{24},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{21},\frac{2}{21},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},{\color[rgb]{1,0,0}{\frac{3}{7}}},\frac{11}{21},\frac{11}{21},\frac{1}{24},\frac{1}{24},\frac{7}{8},\frac{3}{8},\frac{13}{24},\frac{13}{24}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{2}{15}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{53}{60},{\color[rgb]{1,0,0}{\frac{2}{15}}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{2}{15}}},\frac{23}{60},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15},{\color[rgb]{1,0,0}{\frac{2}{15}}},\frac{4}{5},\frac{4}{5},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{2}{15}}},\frac{7}{15},\frac{7}{15},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{13}{15}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20},\frac{7}{60},{\color[rgb]{1,0,0}{\frac{13}{15}}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{13}{15}}},\frac{37}{60},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15},{\color[rgb]{1,0,0}{\frac{13}{15}}},\frac{1}{5},\frac{1}{5},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{13}{15}}},\frac{8}{15},\frac{8}{15},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{5}{8}}},{\color[rgb]{1,0,0}{0}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{1}{4},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},\frac{3}{8},{\color[rgb]{1,0,0}{\frac{5}{8}}},{\color[rgb]{1,0,0}{0}},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},\frac{1}{2},\frac{1}{2},\frac{7}{8},{\color[rgb]{1,0,0}{\frac{5}{8}}},{\color[rgb]{1,0,0}{0}},\frac{1}{4}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{6},\frac{1}{6},\frac{1}{6},\frac{1}{6},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{12},\frac{11}{12},\frac{11}{12},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},\frac{7}{24},\frac{7}{24},{\color[rgb]{1,0,0}{\frac{5}{8}}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{5}{6},\frac{5}{6},\frac{5}{6},\frac{5}{6},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},{\color[rgb]{1,0,0}{\frac{1}{4}}},\frac{7}{12},\frac{7}{12},\frac{7}{12},\frac{7}{12},\frac{23}{24},\frac{23}{24},{\color[rgb]{1,0,0}{\frac{5}{8}}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{8}}},{\color[rgb]{1,0,0}{0}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{8}}},\frac{5}{8},{\color[rgb]{1,0,0}{0}},\frac{1}{4}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{1}{4},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{1}{2},\frac{1}{2},\frac{1}{8},{\color[rgb]{1,0,0}{\frac{3}{8}}},{\color[rgb]{1,0,0}{0}},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{5}{6},\frac{5}{6},\frac{5}{6},\frac{5}{6},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{12},\frac{1}{12},\frac{1}{12},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{17}{24},\frac{17}{24},{\color[rgb]{1,0,0}{\frac{3}{8}}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{6},\frac{1}{6},\frac{1}{6},\frac{1}{6},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},{\color[rgb]{1,0,0}{\frac{3}{4}}},\frac{5}{12},\frac{5}{12},\frac{5}{12},\frac{5}{12},\frac{1}{24},\frac{1}{24},{\color[rgb]{1,0,0}{\frac{3}{8}}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},\frac{3}{20},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{11}{20},\frac{11}{20},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},\frac{13}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{1}{20},\frac{1}{20},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{2}{15},\frac{2}{15},\frac{2}{15},\frac{2}{15},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},\frac{3}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{3}{4},\frac{3}{4},\frac{11}{20},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},\frac{13}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{1}{4},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{7}{15},\frac{7}{15},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},\frac{17}{20},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{4},\frac{1}{4},\frac{9}{20},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},\frac{7}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{3}{4},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{14}{15},\frac{14}{15},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{8}{15},\frac{8}{15},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},\frac{4}{15},\frac{4}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},\frac{17}{20},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20},\frac{9}{20},\frac{9}{20},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},\frac{7}{20},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{19}{20},\frac{19}{20},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},\frac{14}{15},\frac{14}{15},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},\frac{4}{15},\frac{4}{15},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{13}{15},\frac{13}{15},\frac{13}{15},\frac{13}{15},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{2}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},{\color[rgb]{1,0,0}{\frac{37}{45}}},{\color[rgb]{1,0,0}{\frac{4}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{35}{36},{\color[rgb]{1,0,0}{\frac{2}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{41}{60},{\color[rgb]{1,0,0}{\frac{37}{45}}},\frac{103}{180},\frac{1}{60},{\color[rgb]{1,0,0}{\frac{4}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{17}{36},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{11}{60},\frac{13}{180},{\color[rgb]{1,0,0}{\frac{37}{45}}},{\color[rgb]{1,0,0}{\frac{4}{15}}},\frac{31}{60}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{8}{9},\frac{8}{9},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{3}{5},\frac{3}{5},{\color[rgb]{1,0,0}{\frac{37}{45}}},\frac{22}{45},\frac{22}{45},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{4}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{5}{9},\frac{5}{9},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{4}{15},\frac{4}{15},\frac{7}{45},\frac{7}{45},{\color[rgb]{1,0,0}{\frac{37}{45}}},{\color[rgb]{1,0,0}{\frac{4}{15}}},\frac{3}{5},\frac{3}{5}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{4}{15}}},{\color[rgb]{1,0,0}{\frac{17}{45}}},{\color[rgb]{1,0,0}{\frac{14}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},{\color[rgb]{1,0,0}{\frac{7}{9}}},\frac{19}{36},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{1}{60},{\color[rgb]{1,0,0}{\frac{4}{15}}},\frac{23}{180},{\color[rgb]{1,0,0}{\frac{17}{45}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{41}{60}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{36},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},{\color[rgb]{1,0,0}{\frac{4}{15}}},\frac{31}{60},\frac{113}{180},{\color[rgb]{1,0,0}{\frac{17}{45}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{11}{60}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{7}{9}}},\frac{4}{9},\frac{4}{9},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{4}{15}}},\frac{2}{45},\frac{2}{45},{\color[rgb]{1,0,0}{\frac{17}{45}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{3}{5},\frac{3}{5}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{9},\frac{1}{9},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{4}{15}}},\frac{3}{5},\frac{3}{5},\frac{32}{45},\frac{32}{45},{\color[rgb]{1,0,0}{\frac{17}{45}}},{\color[rgb]{1,0,0}{\frac{14}{15}}},\frac{4}{15},\frac{4}{15}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{2}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{11}{15}}},{\color[rgb]{1,0,0}{\frac{28}{45}}},{\color[rgb]{1,0,0}{\frac{1}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{17}{36},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{59}{60},{\color[rgb]{1,0,0}{\frac{11}{15}}},\frac{157}{180},{\color[rgb]{1,0,0}{\frac{28}{45}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{19}{60}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{35}{36},{\color[rgb]{1,0,0}{\frac{2}{9}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},{\color[rgb]{1,0,0}{\frac{11}{15}}},\frac{29}{60},\frac{67}{180},{\color[rgb]{1,0,0}{\frac{28}{45}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{49}{60}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{5}{9},\frac{5}{9},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{11}{15}}},\frac{43}{45},\frac{43}{45},{\color[rgb]{1,0,0}{\frac{28}{45}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{2}{5},\frac{2}{5}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{8}{9},\frac{8}{9},{\color[rgb]{1,0,0}{\frac{2}{9}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{11}{15}}},\frac{2}{5},\frac{2}{5},\frac{13}{45},\frac{13}{45},{\color[rgb]{1,0,0}{\frac{28}{45}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{11}{15},\frac{11}{15}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},{\color[rgb]{1,0,0}{\frac{8}{45}}},{\color[rgb]{1,0,0}{\frac{11}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{11}{12},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{36},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{7}{12},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{19}{60},{\color[rgb]{1,0,0}{\frac{8}{45}}},\frac{77}{180},\frac{59}{60},{\color[rgb]{1,0,0}{\frac{11}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}},{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{5}{12},{\color[rgb]{1,0,0}{\frac{7}{9}}},\frac{19}{36},\frac{1}{12},{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{49}{60},\frac{167}{180},{\color[rgb]{1,0,0}{\frac{8}{45}}},{\color[rgb]{1,0,0}{\frac{11}{15}}},\frac{29}{60}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},0,0,{\color[rgb]{1,0,0}{\frac{2}{3}}},\frac{1}{9},\frac{1}{9},{\color[rgb]{1,0,0}{\frac{7}{9}}},{\color[rgb]{1,0,0}{\frac{1}{3}}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{2}{5},\frac{2}{5},{\color[rgb]{1,0,0}{\frac{8}{45}}},\frac{23}{45},\frac{23}{45},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{11}{15}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{2}{3}}},{\color[rgb]{1,0,0}{\frac{7}{9}}},\frac{4}{9},\frac{4}{9},0,0,{\color[rgb]{1,0,0}{\frac{1}{3}}},{\color[rgb]{1,0,0}{\frac{1}{15}}},\frac{11}{15},\frac{11}{15},\frac{38}{45},\frac{38}{45},{\color[rgb]{1,0,0}{\frac{8}{45}}},{\color[rgb]{1,0,0}{\frac{11}{15}}},\frac{2}{5},\frac{2}{5}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{5}{17}}},{\color[rgb]{1,0,0}{\frac{2}{17}}},{\color[rgb]{1,0,0}{\frac{8}{17}}},{\color[rgb]{1,0,0}{\frac{6}{17}}},{\color[rgb]{1,0,0}{\frac{13}{17}}},{\color[rgb]{1,0,0}{\frac{12}{17}}},{\color[rgb]{1,0,0}{\frac{3}{17}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{68},{\color[rgb]{1,0,0}{\frac{5}{17}}},{\color[rgb]{1,0,0}{\frac{2}{17}}},\frac{59}{68},\frac{15}{68},{\color[rgb]{1,0,0}{\frac{8}{17}}},\frac{7}{68},{\color[rgb]{1,0,0}{\frac{6}{17}}},{\color[rgb]{1,0,0}{\frac{13}{17}}},\frac{35}{68},{\color[rgb]{1,0,0}{\frac{12}{17}}},\frac{31}{68},\frac{63}{68},{\color[rgb]{1,0,0}{\frac{3}{17}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},{\color[rgb]{1,0,0}{\frac{5}{17}}},\frac{37}{68},{\color[rgb]{1,0,0}{\frac{2}{17}}},\frac{25}{68},\frac{49}{68},{\color[rgb]{1,0,0}{\frac{8}{17}}},{\color[rgb]{1,0,0}{\frac{6}{17}}},\frac{41}{68},\frac{1}{68},{\color[rgb]{1,0,0}{\frac{13}{17}}},\frac{65}{68},{\color[rgb]{1,0,0}{\frac{12}{17}}},{\color[rgb]{1,0,0}{\frac{3}{17}}},\frac{29}{68}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{49}{51},\frac{49}{51},{\color[rgb]{1,0,0}{\frac{5}{17}}},{\color[rgb]{1,0,0}{\frac{2}{17}}},\frac{40}{51},\frac{40}{51},\frac{7}{51},\frac{7}{51},{\color[rgb]{1,0,0}{\frac{8}{17}}},\frac{1}{51},\frac{1}{51},{\color[rgb]{1,0,0}{\frac{6}{17}}},{\color[rgb]{1,0,0}{\frac{13}{17}}},\frac{22}{51},\frac{22}{51},{\color[rgb]{1,0,0}{\frac{12}{17}}},\frac{19}{51},\frac{19}{51},\frac{43}{51},\frac{43}{51},{\color[rgb]{1,0,0}{\frac{3}{17}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{5}{17}}},\frac{32}{51},\frac{32}{51},{\color[rgb]{1,0,0}{\frac{2}{17}}},\frac{23}{51},\frac{23}{51},\frac{41}{51},\frac{41}{51},{\color[rgb]{1,0,0}{\frac{8}{17}}},\frac{35}{51},\frac{35}{51},{\color[rgb]{1,0,0}{\frac{6}{17}}},\frac{5}{51},\frac{5}{51},{\color[rgb]{1,0,0}{\frac{13}{17}}},\frac{2}{51},\frac{2}{51},{\color[rgb]{1,0,0}{\frac{12}{17}}},{\color[rgb]{1,0,0}{\frac{3}{17}}},\frac{26}{51},\frac{26}{51}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{12}{17}}},{\color[rgb]{1,0,0}{\frac{15}{17}}},{\color[rgb]{1,0,0}{\frac{9}{17}}},{\color[rgb]{1,0,0}{\frac{11}{17}}},{\color[rgb]{1,0,0}{\frac{4}{17}}},{\color[rgb]{1,0,0}{\frac{5}{17}}},{\color[rgb]{1,0,0}{\frac{14}{17}}}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{65}{68},{\color[rgb]{1,0,0}{\frac{12}{17}}},{\color[rgb]{1,0,0}{\frac{15}{17}}},\frac{9}{68},\frac{53}{68},{\color[rgb]{1,0,0}{\frac{9}{17}}},\frac{61}{68},{\color[rgb]{1,0,0}{\frac{11}{17}}},{\color[rgb]{1,0,0}{\frac{4}{17}}},\frac{33}{68},{\color[rgb]{1,0,0}{\frac{5}{17}}},\frac{37}{68},\frac{5}{68},{\color[rgb]{1,0,0}{\frac{14}{17}}}
{\color[rgb]{1,0,0}{0}},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{12}{17}}},\frac{31}{68},{\color[rgb]{1,0,0}{\frac{15}{17}}},\frac{43}{68},\frac{19}{68},{\color[rgb]{1,0,0}{\frac{9}{17}}},{\color[rgb]{1,0,0}{\frac{11}{17}}},\frac{27}{68},\frac{67}{68},{\color[rgb]{1,0,0}{\frac{4}{17}}},\frac{3}{68},{\color[rgb]{1,0,0}{\frac{5}{17}}},{\color[rgb]{1,0,0}{\frac{14}{17}}},\frac{39}{68}
{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{2}{51},\frac{2}{51},{\color[rgb]{1,0,0}{\frac{12}{17}}},{\color[rgb]{1,0,0}{\frac{15}{17}}},\frac{11}{51},\frac{11}{51},\frac{44}{51},\frac{44}{51},{\color[rgb]{1,0,0}{\frac{9}{17}}},\frac{50}{51},\frac{50}{51},{\color[rgb]{1,0,0}{\frac{11}{17}}},{\color[rgb]{1,0,0}{\frac{4}{17}}},\frac{29}{51},\frac{29}{51},{\color[rgb]{1,0,0}{\frac{5}{17}}},\frac{32}{51},\frac{32}{51},\frac{8}{51},\frac{8}{51},{\color[rgb]{1,0,0}{\frac{14}{17}}}
{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{12}{17}}},\frac{19}{51},\frac{19}{51},{\color[rgb]{1,0,0}{\frac{15}{17}}},\frac{28}{51},\frac{28}{51},\frac{10}{51},\frac{10}{51},{\color[rgb]{1,0,0}{\frac{9}{17}}},\frac{16}{51},\frac{16}{51},{\color[rgb]{1,0,0}{\frac{11}{17}}},\frac{46}{51},\frac{46}{51},{\color[rgb]{1,0,0}{\frac{4}{17}}},\frac{49}{51},\frac{49}{51},{\color[rgb]{1,0,0}{\frac{5}{17}}},{\color[rgb]{1,0,0}{\frac{14}{17}}},\frac{25}{51},\frac{25}{51}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{15}{16},\frac{7}{16},\frac{9}{16},0
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{13}{16},\frac{5}{16},\frac{11}{16},0
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16},\frac{1}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16},\frac{11}{16},\frac{7}{16},\frac{1}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{1}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16},\frac{5}{16},\frac{9}{16},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{3}{16},\frac{11}{16},\frac{9}{16},\frac{1}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{16},\frac{5}{16},\frac{7}{16},\frac{1}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{16},\frac{5}{16},\frac{7}{16},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{3}{16},\frac{11}{16},\frac{9}{16},\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16},\frac{5}{16},\frac{9}{16},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16},\frac{11}{16},\frac{7}{16},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{13}{16},\frac{5}{16},\frac{11}{16},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{15}{16},\frac{7}{16},\frac{9}{16},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{1}{16},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{9}{16},\frac{9}{16},\frac{1}{8},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,0,0,\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{8},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{8},\frac{1}{8},\frac{7}{8},\frac{7}{8},\frac{3}{8},\frac{3}{8},\frac{5}{8},\frac{5}{8},\frac{1}{8},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{3}{4},\frac{3}{4},\frac{1}{8},\frac{7}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{15}{16},\frac{3}{16},\frac{13}{16},\frac{5}{16},\frac{11}{16},\frac{7}{16},\frac{9}{16},0,\frac{1}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,\frac{1}{8},\frac{1}{8},\frac{5}{8},\frac{5}{8},\frac{1}{2},\frac{1}{2},0,\frac{1}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{8},\frac{7}{8},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{3}{8},\frac{3}{8},0,\frac{1}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{15}{16},\frac{3}{16},\frac{13}{16},\frac{5}{16},\frac{11}{16},\frac{7}{16},\frac{9}{16},0,\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{8},\frac{1}{8},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{5}{8},\frac{5}{8},0,\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,\frac{7}{8},\frac{7}{8},\frac{3}{8},\frac{3}{8},\frac{1}{2},\frac{1}{2},0,\frac{3}{4}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{1}{16},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{9}{16},\frac{9}{16},\frac{1}{8},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{8},\frac{1}{8},\frac{1}{8},\frac{1}{8},\frac{5}{8},\frac{5}{8},\frac{5}{8},\frac{5}{8},\frac{1}{8},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{1}{2},\frac{1}{2},\frac{1}{8},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{8},\frac{7}{8},\frac{7}{8},\frac{7}{8},\frac{3}{8},\frac{3}{8},\frac{3}{8},\frac{3}{8},\frac{1}{8},\frac{3}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{1}{16},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{9}{16},\frac{9}{16},\frac{7}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{8},\frac{7}{8},\frac{7}{8},\frac{7}{8},\frac{3}{8},\frac{3}{8},\frac{3}{8},\frac{3}{8},\frac{7}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{1}{2},\frac{1}{2},\frac{7}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{8},\frac{1}{8},\frac{1}{8},\frac{1}{8},\frac{5}{8},\frac{5}{8},\frac{5}{8},\frac{5}{8},\frac{7}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{15}{16},\frac{3}{16},\frac{13}{16},\frac{5}{16},\frac{11}{16},\frac{7}{16},\frac{9}{16},\frac{1}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{8},\frac{1}{8},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{5}{8},\frac{5}{8},\frac{1}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,\frac{7}{8},\frac{7}{8},\frac{3}{8},\frac{3}{8},\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{15}{16},\frac{3}{16},\frac{13}{16},\frac{5}{16},\frac{11}{16},\frac{7}{16},\frac{9}{16},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{8},\frac{7}{8},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{3}{8},\frac{3}{8},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,\frac{1}{8},\frac{1}{8},\frac{5}{8},\frac{5}{8},\frac{1}{2},\frac{1}{2},\frac{3}{4},\frac{1}{2}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{1}{16},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{9}{16},\frac{9}{16},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},\frac{3}{4},\frac{3}{4},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{8},\frac{1}{8},\frac{7}{8},\frac{7}{8},\frac{3}{8},\frac{3}{8},\frac{5}{8},\frac{5}{8},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},{\color[rgb]{1,0,0}{\frac{1}{2}}},0,0,0,0,\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{3}{8},\frac{5}{8}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{37}{112},\frac{101}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{112},\frac{87}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{51}{112},\frac{3}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{9}{112},\frac{73}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{65}{112},\frac{17}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{107}{112},\frac{59}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{79}{112},\frac{31}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{93}{112},\frac{45}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{5}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{23}{112},\frac{51}{112},\frac{3}{112},\frac{87}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{9}{112},\frac{37}{112},\frac{101}{112},\frac{73}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{7}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{37}{112},\frac{65}{112},\frac{101}{112},\frac{17}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{107}{112},\frac{23}{112},\frac{87}{112},\frac{59}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{9}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{79}{112},\frac{51}{112},\frac{3}{112},\frac{31}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{11}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{9}{112},\frac{93}{112},\frac{73}{112},\frac{45}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{7}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{93}{112},\frac{65}{112},\frac{17}{112},\frac{45}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{9}{16},\frac{25}{28},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{11}{28},\frac{27}{28},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{13}{28},\frac{107}{112},\frac{79}{112},\frac{31}{112},\frac{59}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{48},\frac{5}{48},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{83}{336},\frac{83}{336},\frac{65}{112},\frac{17}{112},\frac{275}{336},\frac{275}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{48},\frac{13}{48},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{9}{112},\frac{139}{336},\frac{139}{336},\frac{331}{336},\frac{331}{336},\frac{73}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{47}{48},\frac{47}{48},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{41}{336},\frac{41}{336},\frac{51}{112},\frac{3}{112},\frac{233}{336},\frac{233}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{48},\frac{7}{48},\frac{13}{16},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{107}{112},\frac{97}{336},\frac{97}{336},\frac{289}{336},\frac{289}{336},\frac{59}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{48},\frac{11}{48},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{79}{112},\frac{125}{336},\frac{125}{336},\frac{317}{336},\frac{317}{336},\frac{31}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{19}{48},\frac{19}{48},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{23}{112},\frac{181}{336},\frac{181}{336},\frac{37}{336},\frac{37}{336},\frac{87}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{41}{48},\frac{41}{48},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{335}{336},\frac{335}{336},\frac{37}{112},\frac{101}{112},\frac{191}{336},\frac{191}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{48},\frac{1}{48},\frac{11}{16},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{55}{336},\frac{55}{336},\frac{93}{112},\frac{247}{336},\frac{247}{336},\frac{45}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{17}{48},\frac{17}{48},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{93}{112},\frac{167}{336},\frac{167}{336},\frac{23}{336},\frac{23}{336},\frac{45}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{25}{48},\frac{25}{48},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{37}{112},\frac{223}{336},\frac{223}{336},\frac{101}{112},\frac{79}{336},\frac{79}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{35}{48},\frac{35}{48},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{293}{336},\frac{293}{336},\frac{23}{112},\frac{87}{112},\frac{149}{336},\frac{149}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{43}{48},\frac{43}{48},\frac{9}{16},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{13}{336},\frac{13}{336},\frac{79}{112},\frac{31}{112},\frac{205}{336},\frac{205}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{23}{48},\frac{23}{48},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{107}{112},\frac{209}{336},\frac{209}{336},\frac{65}{336},\frac{65}{336},\frac{59}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{31}{48},\frac{31}{48},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{265}{336},\frac{265}{336},\frac{51}{112},\frac{3}{112},\frac{121}{336},\frac{121}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{29}{48},\frac{29}{48},{\color[rgb]{1,0,0}{\frac{1}{7}}},\frac{17}{21},\frac{17}{21},\frac{13}{42},\frac{13}{42},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{37}{42},\frac{37}{42},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{8}{21},\frac{8}{21},\frac{9}{112},\frac{251}{336},\frac{251}{336},\frac{107}{336},\frac{107}{336},\frac{73}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{37}{48},\frac{37}{48},\frac{7}{16},\frac{41}{42},\frac{41}{42},{\color[rgb]{1,0,0}{\frac{1}{7}}},{\color[rgb]{1,0,0}{\frac{9}{14}}},\frac{10}{21},\frac{10}{21},\frac{1}{21},\frac{1}{21},{\color[rgb]{1,0,0}{\frac{3}{14}}},{\color[rgb]{1,0,0}{\frac{5}{7}}},\frac{23}{42},\frac{23}{42},\frac{307}{336},\frac{307}{336},\frac{65}{112},\frac{17}{112},\frac{163}{336},\frac{163}{336}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{75}{112},\frac{11}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{89}{112},\frac{25}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{61}{112},\frac{109}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{103}{112},\frac{39}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{47}{112},\frac{95}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{5}{112},\frac{53}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{33}{112},\frac{81}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{112},\frac{67}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{11}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{89}{112},\frac{61}{112},\frac{109}{112},\frac{25}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{13}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{103}{112},\frac{75}{112},\frac{11}{112},\frac{39}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{9}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{75}{112},\frac{47}{112},\frac{11}{112},\frac{95}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{3}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{5}{112},\frac{89}{112},\frac{25}{112},\frac{53}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{7}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{33}{112},\frac{61}{112},\frac{109}{112},\frac{81}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{5}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{103}{112},\frac{19}{112},\frac{39}{112},\frac{67}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{9}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{19}{112},\frac{47}{112},\frac{95}{112},\frac{67}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{3}{4},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{7}{16},\frac{3}{28},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{17}{28},\frac{1}{28},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{15}{28},\frac{5}{112},\frac{33}{112},\frac{81}{112},\frac{53}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{35}{48},\frac{35}{48},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{103}{112},\frac{197}{336},\frac{197}{336},\frac{5}{336},\frac{5}{336},\frac{39}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{43}{48},\frac{43}{48},\frac{9}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{253}{336},\frac{253}{336},\frac{47}{112},\frac{95}{112},\frac{61}{336},\frac{61}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{41}{48},\frac{41}{48},\frac{3}{16},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{5}{112},\frac{239}{336},\frac{239}{336},\frac{47}{336},\frac{47}{336},\frac{53}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{48},\frac{1}{48},\frac{11}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{295}{336},\frac{295}{336},\frac{61}{112},\frac{109}{112},\frac{103}{336},\frac{103}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{29}{48},\frac{29}{48},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{89}{112},\frac{155}{336},\frac{155}{336},\frac{299}{336},\frac{299}{336},\frac{25}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{37}{48},\frac{37}{48},\frac{7}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{33}{112},\frac{211}{336},\frac{211}{336},\frac{19}{336},\frac{19}{336},\frac{81}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{47}{48},\frac{47}{48},\frac{5}{16},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{281}{336},\frac{281}{336},\frac{19}{112},\frac{89}{336},\frac{89}{336},\frac{67}{112}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{7}{48},\frac{7}{48},\frac{13}{16},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{1}{336},\frac{1}{336},\frac{75}{112},\frac{11}{112},\frac{145}{336},\frac{145}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{13}{16},\frac{23}{48},\frac{23}{48},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{75}{112},\frac{113}{336},\frac{113}{336},\frac{11}{112},\frac{257}{336},\frac{257}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{16},\frac{31}{48},\frac{31}{48},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{19}{112},\frac{169}{336},\frac{169}{336},\frac{313}{336},\frac{313}{336},\frac{67}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{5}{48},\frac{5}{48},\frac{7}{16},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{323}{336},\frac{323}{336},\frac{33}{112},\frac{81}{112},\frac{131}{336},\frac{131}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{15}{16},\frac{13}{48},\frac{13}{48},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{43}{336},\frac{43}{336},\frac{89}{112},\frac{25}{112},\frac{187}{336},\frac{187}{336}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{16},\frac{17}{48},\frac{17}{48},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{71}{336},\frac{71}{336},\frac{61}{112},\frac{109}{112},\frac{215}{336},\frac{215}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{3}{16},\frac{25}{48},\frac{25}{48},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{5}{112},\frac{127}{336},\frac{127}{336},\frac{271}{336},\frac{271}{336},\frac{53}{112}
{\color[rgb]{1,0,0}{0}},\frac{1}{6},\frac{1}{6},\frac{2}{3},\frac{2}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{11}{48},\frac{11}{48},\frac{9}{16},\frac{1}{42},\frac{1}{42},{\color[rgb]{1,0,0}{\frac{6}{7}}},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{11}{21},\frac{11}{21},\frac{20}{21},\frac{20}{21},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{19}{42},\frac{19}{42},\frac{29}{336},\frac{29}{336},\frac{47}{112},\frac{95}{112},\frac{173}{336},\frac{173}{336}
{\color[rgb]{1,0,0}{0}},\frac{5}{6},\frac{5}{6},\frac{1}{3},\frac{1}{3},{\color[rgb]{1,0,0}{\frac{1}{2}}},\frac{1}{16},\frac{19}{48},\frac{19}{48},{\color[rgb]{1,0,0}{\frac{6}{7}}},\frac{4}{21},\frac{4}{21},\frac{29}{42},\frac{29}{42},{\color[rgb]{1,0,0}{\frac{5}{14}}},\frac{5}{42},\frac{5}{42},{\color[rgb]{1,0,0}{\frac{11}{14}}},{\color[rgb]{1,0,0}{\frac{2}{7}}},\frac{13}{21},\frac{13}{21},\frac{103}{112},\frac{85}{336},\frac{85}{336},\frac{229}{336},\frac{229}{336},\frac{39}{112}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{33}{40},\frac{13}{40},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{8},\frac{5}{8},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{40},\frac{23}{40},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{7}{8},\frac{3}{8},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{3}{40},\frac{33}{40},\frac{13}{40},\frac{23}{40},\frac{19}{20},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{61}{80},\frac{61}{80},\frac{21}{80},\frac{21}{80},\frac{19}{20},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{1}{80},\frac{1}{80},\frac{41}{80},\frac{41}{80},\frac{19}{20},\frac{19}{20},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{7}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{3}{40},\frac{33}{40},\frac{13}{40},\frac{23}{40},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20},\frac{9}{20},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{11}{80},\frac{11}{80},\frac{51}{80},\frac{51}{80},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20},\frac{9}{20},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{71}{80},\frac{71}{80},\frac{31}{80},\frac{31}{80},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{9}{20},\frac{9}{20},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16},\frac{17}{20},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{3}{40},\frac{29}{120},\frac{29}{120},\frac{89}{120},\frac{89}{120},\frac{23}{40},\frac{13}{15},\frac{13}{15},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{24},\frac{1}{24},\frac{7}{8},\frac{3}{8},\frac{13}{24},\frac{13}{24},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{119}{120},\frac{119}{120},\frac{33}{40},\frac{13}{40},\frac{59}{120},\frac{59}{120},\frac{13}{15},\frac{13}{15},\frac{13}{15},\frac{13}{15},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{1}{8},\frac{19}{24},\frac{19}{24},\frac{7}{24},\frac{7}{24},\frac{5}{8},\frac{4}{15},\frac{4}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{19}{120},\frac{19}{120},\frac{33}{40},\frac{13}{40},\frac{79}{120},\frac{79}{120},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{23}{24},\frac{23}{24},\frac{1}{8},\frac{5}{8},\frac{11}{24},\frac{11}{24},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{3}{40},\frac{109}{120},\frac{109}{120},\frac{49}{120},\frac{49}{120},\frac{23}{40},{\color[rgb]{1,0,0}{\frac{1}{5}}},{\color[rgb]{1,0,0}{\frac{1}{5}}},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{8}{15},\frac{7}{8},\frac{5}{24},\frac{5}{24},\frac{17}{24},\frac{17}{24},\frac{3}{8},\frac{14}{15},\frac{14}{15},{\color[rgb]{1,0,0}{\frac{3}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{7}{40},\frac{27}{40},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{8},\frac{3}{8},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{37}{40},\frac{17}{40},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{1}{8},\frac{5}{8},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{37}{40},\frac{7}{40},\frac{27}{40},\frac{17}{40},\frac{1}{20},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{19}{80},\frac{19}{80},\frac{59}{80},\frac{59}{80},\frac{1}{20},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{15}{16},\frac{15}{16},\frac{7}{16},\frac{7}{16},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{4},\frac{1}{4},\frac{79}{80},\frac{79}{80},\frac{39}{80},\frac{39}{80},\frac{1}{20},\frac{1}{20},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{3}{16},\frac{3}{16},\frac{11}{16},\frac{11}{16},\frac{13}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{37}{40},\frac{7}{40},\frac{27}{40},\frac{17}{40},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{11}{20},\frac{1}{8},\frac{7}{8},\frac{3}{8},\frac{5}{8},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{9}{80},\frac{9}{80},\frac{49}{80},\frac{49}{80},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{11}{20},\frac{13}{16},\frac{13}{16},\frac{5}{16},\frac{5}{16},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{3}{4},\frac{3}{4},\frac{69}{80},\frac{69}{80},\frac{29}{80},\frac{29}{80},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{11}{20},\frac{11}{20},\frac{1}{16},\frac{1}{16},\frac{9}{16},\frac{9}{16},\frac{3}{20},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{37}{40},\frac{91}{120},\frac{91}{120},\frac{31}{120},\frac{31}{120},\frac{17}{40},\frac{2}{15},\frac{2}{15},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{23}{24},\frac{23}{24},\frac{1}{8},\frac{5}{8},\frac{11}{24},\frac{11}{24},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{120},\frac{1}{120},\frac{7}{40},\frac{27}{40},\frac{61}{120},\frac{61}{120},\frac{2}{15},\frac{2}{15},\frac{2}{15},\frac{2}{15},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{8},\frac{5}{24},\frac{5}{24},\frac{17}{24},\frac{17}{24},\frac{3}{8},\frac{11}{15},\frac{11}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{37}{40},\frac{11}{120},\frac{11}{120},\frac{71}{120},\frac{71}{120},\frac{17}{40},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{1}{8},\frac{19}{24},\frac{19}{24},\frac{7}{24},\frac{7}{24},\frac{5}{8},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
{\color[rgb]{1,0,0}{0}},{\color[rgb]{1,0,0}{0}},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{2}{3},\frac{101}{120},\frac{101}{120},\frac{7}{40},\frac{27}{40},\frac{41}{120},\frac{41}{120},{\color[rgb]{1,0,0}{\frac{4}{5}}},{\color[rgb]{1,0,0}{\frac{4}{5}}},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{1}{24},\frac{1}{24},\frac{7}{8},\frac{3}{8},\frac{13}{24},\frac{13}{24},\frac{1}{15},\frac{1}{15},{\color[rgb]{1,0,0}{\frac{2}{5}}}
The reference list from the paper itself. Each links out to its DOI / PubMed record.
- 1Wen (1990) X.-G. Wen, Int. J. Mod. Phys. B 4 , 239 (1990).
- 2Keski-Vakkuri and Wen (1993) E. Keski-Vakkuri and X.-G. Wen, Int. J. Mod. Phys. B 7 , 4227 (1993).
- 3Rowell et al. (2009) E. Rowell, R. Stong, and Z. Wang, Comm. Math. Phys. 292 , 343 (2009), ar Xiv:0712.1377 .
- 4Barkeshli et al. (2014) M. Barkeshli, P. Bonderson, M. Cheng, and Z. Wang, (2014), ar Xiv:1410.4540 .
- 5Wen (2016) X.-G. Wen, Natl. Sci. Rev. 3 , 68 (2016) , ar Xiv:1506.05768 . · doi ↗
- 6Lan et al. (2016) T. Lan, L. Kong, and X.-G. Wen, Phys. Rev. B 94 , 155113 (2016) , ar Xiv:1507.04673 . · doi ↗
- 7Lan et al. (2017) T. Lan, L. Kong, and X.-G. Wen, Commun. Math. Phys. 351 , 709 (2017) , ar Xiv:1602.05936 . · doi ↗
- 8Lan et al. (2016) T. Lan, L. Kong, and X.-G. Wen, (2016), ar Xiv:1602.05946 .
